text
stringlengths 481
13.8k
| embedding
sequencelengths 1.02k
1.02k
|
---|---|
The huge supporting training data on the Internet has been a key factor in
the success of deep learning models. However, this abundance of
public-available data also raises concerns about the unauthorized exploitation
of datasets for commercial purposes, which is forbidden by dataset licenses. In
this paper, we propose a backdoor-based watermarking approach that serves as a
general framework for safeguarding public-available data. By inserting a small
number of watermarking samples into the dataset, our approach enables the
learning model to implicitly learn a secret function set by defenders. This
hidden function can then be used as a watermark to track down third-party
models that use the dataset illegally. Unfortunately, existing backdoor
insertion methods often entail adding arbitrary and mislabeled data to the
training set, leading to a significant drop in performance and easy detection
by anomaly detection algorithms. To overcome this challenge, we introduce a
clean-label backdoor watermarking framework that uses imperceptible
perturbations to replace mislabeled samples. As a result, the watermarking
samples remain consistent with the original labels, making them difficult to
detect. Our experiments on text, image, and audio datasets demonstrate that the
proposed framework effectively safeguards datasets with minimal impact on
original task performance. We also show that adding just 1% of watermarking
samples can inject a traceable watermarking function and that our watermarking
samples are stealthy and look benign upon visual inspection. | [
-0.030885282903909683,
-0.04591153562068939,
-0.015053407289087772,
-0.015614628791809082,
0.05445658415555954,
-0.01847504824399948,
-0.03206203877925873,
0.025309275835752487,
-0.0519944503903389,
0.029455073177814484,
0.011849014088511467,
-0.007237040903419256,
0.02259368821978569,
-0.061625733971595764,
-0.031174946576356888,
-0.0346146896481514,
-0.0005838513607159257,
-0.020566049963235855,
-0.026214472949504852,
-0.04384768754243851,
0.040263112634420395,
-0.028169695287942886,
-0.013442158699035645,
0.016203006729483604,
0.04305111616849899,
0.04004586488008499,
0.0463460274040699,
0.01799529418349266,
-0.024766158312559128,
0.038525134325027466,
0.0062277475371956825,
0.02858608588576317,
-0.04573049396276474,
-0.025200653821229935,
-0.0694466233253479,
-0.02116347849369049,
0.0349043533205986,
0.08921610563993454,
0.013125340454280376,
0.016890954226255417,
0.00418200483545661,
-0.04616498947143555,
-0.0029690423980355263,
0.006865910720080137,
0.02661275863647461,
-0.009839478880167007,
-0.04058898240327835,
-0.015397381968796253,
-0.05952567979693413,
0.0006992638227529824,
-0.009341621771454811,
-0.09189548343420029,
0.05543419346213341,
-0.003552893875166774,
-0.046635691076517105,
0.09030234068632126,
0.03669663891196251,
-0.014627965167164803,
0.00952266063541174,
-0.03530263900756836,
-0.023227326571941376,
0.013967172242701054,
0.05833082273602486,
-0.011758494190871716,
-0.05963430553674698,
-0.04453563690185547,
0.0010262657888233662,
0.05967051163315773,
0.038018226623535156,
0.03356466442346573,
-0.006015026476234198,
0.006689397618174553,
0.03718544542789459,
-0.031102530658245087,
-0.005847565364092588,
-0.01915394514799118,
0.03939412534236908,
0.017796151340007782,
0.004154848866164684,
-0.01625731773674488,
-0.014446926303207874,
0.011613663285970688,
-0.004401514772325754,
0.0036139944568276405,
0.047794342041015625,
-0.031880997121334076,
-0.06712932884693146,
-0.05967051163315773,
0.028296422213315964,
-0.06126365810632706,
-0.023317845538258553,
-0.04120451584458351,
0.020222075283527374,
-0.027355019003152847,
-0.029255930334329605,
0.02572566643357277,
-0.07466055452823639,
-0.03830789029598236,
-0.06397924572229385,
0.022485066205263138,
-0.0013249804032966495,
0.025128237903118134,
-0.0013215859653428197,
-0.02788003347814083,
-0.0032519162632524967,
-0.017099149525165558,
-0.03309395909309387,
0.0521392822265625,
0.040335528552532196,
0.10362682491540909,
-0.006259429268538952,
-0.015261602587997913,
-0.03608110547065735,
0.060539498925209045,
0.0007897833711467683,
0.03684147074818611,
0.00037678779335692525,
-0.02831452712416649,
0.045440834015607834,
-0.030106814578175545,
-0.039611369371414185,
0.022141091525554657,
0.023154910653829575,
0.01628447324037552,
-0.02467563934624195,
0.06311025470495224,
-0.044789090752601624,
-0.020656568929553032,
0.025816185399889946,
0.029871463775634766,
-0.021634181961417198,
-0.006037656217813492,
0.02208677865564823,
-0.006992638111114502,
0.03780097886919975,
0.02456701546907425,
0.013179651461541653,
0.03202582895755768,
-0.006535514257848263,
-0.013867600820958614,
0.032967232167720795,
-0.03838030621409416,
-0.03809064254164696,
0.06846901774406433,
-0.034469857811927795,
0.05090821534395218,
-0.029871463775634766,
0.029690423980355263,
-0.021326415240764618,
0.02034880220890045,
-0.013786133378744125,
0.07943999022245407,
0.05163237079977989,
0.08892644196748734,
0.05742562562227249,
0.024748055264353752,
0.02514634095132351,
-0.013677509501576424,
0.0068070730194449425,
-0.05789632722735405,
0.03642508015036583,
-0.0751674622297287,
0.04392010346055031,
0.0552169494330883,
0.034433651715517044,
0.0346871055662632,
0.06430511176586151,
-0.0009001041180454195,
0.00437888503074646,
0.043630439788103104,
0.0005923375720158219,
-0.011713234707713127,
0.031537022441625595,
-0.007006215862929821,
-0.013071028515696526,
0.005313499830663204,
0.02255748026072979,
0.01625731773674488,
-0.06716553121805191,
-0.06289301067590714,
-0.023625612258911133,
0.043630439788103104,
0.03179048001766205,
-0.04974956437945366,
-0.0376199409365654,
0.02730070799589157,
0.04102347791194916,
-0.013469314202666283,
0.018864281475543976,
-0.030070606619119644,
-0.016510773450136185,
0.049532316625118256,
0.008472633548080921,
-0.007128417491912842,
0.04974956437945366,
-0.027173979207873344,
-0.02599722519516945,
-0.008255386725068092,
0.005254662130028009,
-0.032768089324235916,
-0.013523626141250134,
-0.023390261456370354,
0.05974292755126953,
-0.009631283581256866,
-0.006834228988736868,
0.0004112983588129282,
0.00868988037109375,
0.030070606619119644,
-0.011360208503901958,
-0.02460322342813015,
-0.03608110547065735,
-0.0145193412899971,
-0.0756743773818016,
-0.023354053497314453,
-0.003955706022679806,
-0.00916963443160057,
-0.016474565491080284,
-0.011188221164047718,
0.009767062962055206,
0.024277353659272194,
-0.0026273310650140047,
-0.030414581298828125,
-0.0173073448240757,
-0.0010426724329590797,
-0.07828133553266525,
-0.04866332933306694,
0.03124736063182354,
0.04178383946418762,
0.013080080039799213,
0.017117254436016083,
0.005888299085199833,
-0.01724398136138916,
-0.015868082642555237,
-0.019208256155252457,
0.04037173464894295,
-0.059851549565792084,
-0.017162512987852097,
0.029690423980355263,
-0.0172711368650198,
0.008459055796265602,
-0.010581739246845245,
-0.028749020770192146,
-0.044245973229408264,
0.00010650195326888934,
-0.003129714634269476,
0.02051173895597458,
-0.02297387085855007,
-0.013333534821867943,
0.05568765103816986,
0.003765614703297615,
-0.0188823863863945,
0.0376923568546772,
-0.027047252282500267,
0.028024863451719284,
-0.030758555978536606,
0.031193049624562263,
0.04037173464894295,
-0.012645586393773556,
-0.012618429958820343,
-0.04562187194824219,
0.06354475021362305,
-0.00940498523414135,
-0.06912075728178024,
0.02842315100133419,
-0.037330277264118195,
0.0024372399784624577,
0.04822883754968643,
-0.03236980363726616,
0.04352181777358055,
0.016338786110281944,
0.005915455054491758,
0.02112727239727974,
-0.039647579193115234,
-0.03407157212495804,
0.031573232263326645,
0.0054900129325687885,
0.03200772404670715,
0.012727053835988045,
-0.021018648520112038,
0.025327380746603012,
-0.003014302346855402,
-0.03631645813584328,
0.023915274068713188,
-0.003650202415883541,
0.035900067538022995,
-0.05615835264325142,
-0.04728743061423302,
-0.0077665806747972965,
-0.0577877052128315,
-0.01772373542189598,
-0.005942611023783684,
0.007449761964380741,
-0.025363588705658913,
-0.0303964763879776,
0.057063546031713486,
-0.012546014972031116,
-0.018954802304506302,
-0.010400700382888317,
-0.040335528552532196,
-0.00887544546276331,
-0.0812503844499588,
-0.04283386841416359,
-0.011667974293231964,
0.02367992326617241,
-0.029799047857522964,
-0.0037407218478620052,
0.0492788627743721,
0.031120633706450462,
-0.006603403948247433,
-0.05720837786793709,
-0.004632339812815189,
-0.03885100781917572,
-0.05963430553674698,
0.02062036097049713,
-0.05047371983528137,
0.02873091772198677,
-0.036859575659036636,
0.022304026409983635,
-0.04692535474896431,
-0.035936277359724045,
0.003600416472181678,
0.03689578175544739,
-0.115575410425663,
0.03758373111486435,
-0.0462011955678463,
-0.05224790424108505,
-0.007056001573801041,
0.08190212398767471,
-0.002973568392917514,
-0.023969586938619614,
-0.011369260028004646,
-0.02514634095132351,
-0.0607929527759552,
0.002733691595494747,
0.0043856739066541195,
-0.02637740783393383,
-0.03646128997206688,
0.023299742490053177,
0.003785981796681881,
-0.009622232057154179,
-0.010355440899729729,
-0.029799047857522964,
-0.07020699232816696,
-0.011867118068039417,
0.05333413928747177,
-0.014600809663534164,
-0.031808581203222275,
0.0072551448829472065,
-0.04822883754968643,
0.02232212945818901,
0.0010907610412687063,
-0.015922395512461662,
-0.016718966886401176,
0.04268903657793999,
0.02494719810783863,
0.008762296289205551,
0.00023252218670677394,
-0.00852241925895214,
-0.028224006295204163,
0.0174521766602993,
0.019208256155252457,
-0.06473960727453232,
-0.004802064038813114,
-0.0202763881534338,
-0.01718061789870262,
-0.0019224097486585379,
-0.05159616470336914,
0.024892887100577354,
0.032804299145936966,
0.02255748026072979,
0.020674673840403557,
0.04388389736413956,
-0.051234085112810135,
0.017099149525165558,
0.04453563690185547,
0.011477883905172348,
0.014293042942881584,
-0.017397863790392876,
-0.05054613575339317,
0.05391346663236618,
-0.012745157815515995,
-0.013686561957001686,
0.05058234557509422,
-0.005322551820427179,
-0.01521634217351675,
-0.00775300245732069,
-0.027355019003152847,
0.048880577087402344,
0.030885282903909683,
0.04565807804465294,
-0.03638887405395508,
0.017678475007414818,
-0.03928549960255623,
-0.02873091772198677,
0.03278619423508644,
0.028024863451719284,
-0.017805201932787895,
-0.025979122146964073,
0.015406433492898941,
-0.030595621094107628,
-0.00775300245732069,
-0.007789210416376591,
0.01687285117805004,
-0.03718544542789459,
-0.0346871055662632,
0.06137228012084961,
0.045477040112018585,
0.007648905273526907,
-0.0044965604320168495,
-0.031464606523513794,
-0.0036230464465916157,
-0.007227988913655281,
0.030269749462604523,
0.05083579942584038,
-0.005910928826779127,
-0.001026831567287445,
-0.06998974084854126,
-0.00821012631058693,
0.047866757959127426,
-0.019371191039681435,
0.02232212945818901,
0.008662724867463112,
0.03729407116770744,
-0.02047553099691868,
0.04301490634679794,
0.00971275195479393,
-0.0019710639026015997,
-0.033854324370622635,
0.04996681213378906,
-0.03428881987929344,
0.07035182416439056,
0.012093416415154934,
0.0434131920337677,
-0.0361897312104702,
-0.034234508872032166,
-0.0493512786924839,
0.022883351892232895,
-0.015053407289087772,
-0.00122880341950804,
0.0033582765609025955,
0.006861384492367506,
0.004186531063169241,
0.006992638111114502,
0.002957727527245879,
-0.042544204741716385,
-0.07473297417163849,
-0.007436184212565422,
-0.04529600217938423,
0.0006613587029278278,
-0.029961982741951942,
-0.09457486122846603,
0.02950938604772091,
-0.07647094875574112,
-0.021996259689331055,
0.017026733607053757,
-0.00792498979717493,
0.005960715003311634,
-0.06597067415714264,
0.015940498560667038,
-0.021380726248025894,
-0.029346449300646782,
0.06300163269042969,
-0.04268903657793999,
-0.003249653149396181,
0.00928730983287096,
0.006463098339736462,
-0.06557238847017288,
-0.03186289593577385,
-0.011197272688150406,
0.008866393938660622,
0.03097580187022686,
0.007725846953690052,
-0.025273067876696587,
0.01962464675307274,
-0.029672320932149887,
0.00864009466022253,
-0.02310059778392315,
-0.08233661949634552,
0.02378854714334011,
-0.029708528891205788,
0.03743889927864075,
-0.02306438982486725,
-0.00940498523414135,
-0.01762416400015354,
0.03841651231050491,
-0.0019167521968483925,
0.024422183632850647,
-0.01938929595053196,
0.029980087652802467,
-0.021797116845846176,
-0.022122986614704132,
0.003150081727653742,
-0.007553859613835812,
-0.011586506851017475,
-0.04095106199383736,
-0.03689578175544739,
-0.04714260250329971,
-0.04964094236493111,
0.08154004067182541,
-0.010880454443395138,
0.003643413307145238,
-0.0038176635280251503,
-0.010518375784158707,
0.004555398132652044,
0.08610223233699799,
0.003453322220593691,
-0.015868082642555237,
0.010455012321472168,
0.0038583974819630384,
0.02252127230167389,
0.01614869385957718,
0.04167521744966507,
-0.019787581637501717,
-0.02644982375204563,
-0.019479814916849136,
0.0187737625092268,
0.01680043525993824,
-0.03943033143877983,
0.0018126547802239656,
0.023734236136078835,
0.008268964476883411,
-0.011740390211343765,
-0.020692776888608932,
0.039176877588033676,
-0.0376199409365654,
0.07390019297599792,
0.025544626638293266,
-0.006263955496251583,
-0.013351638801395893,
-0.035972483456134796,
0.013659405522048473,
0.05260998383164406,
-0.0018805444706231356,
-0.02498340606689453,
0.00957697257399559,
0.013170599937438965,
-0.008133185096085072,
0.002266384195536375,
-0.024385977536439896,
-0.030849074944853783,
-0.02695673331618309,
0.016709916293621063,
0.017669422551989555,
0.01652887649834156,
-0.012980508618056774,
-0.007178203202784061,
0.019642749801278114,
-0.03169995918869972,
-0.018556514754891396,
0.012509807012975216,
0.022159194573760033,
-0.024277353659272194,
0.011695130728185177,
0.026395510882139206,
0.008852815255522728,
-0.014935731887817383,
-0.006544566247612238,
0.03193531185388565,
0.002588860224932432,
-0.03658801689743996,
-0.04243558272719383,
-0.002880785847082734,
-0.014193471521139145,
0.041457969695329666,
0.008033613674342632,
-0.00879397802054882,
0.022611793130636215,
0.02556273154914379,
-0.012002897448837757,
0.014057692140340805,
0.006956430152058601,
-0.0018024712335318327,
-0.03356466442346573,
-0.013451210223138332,
0.025598939508199692,
-0.031265463680028915,
0.030414581298828125,
0.0022550690919160843,
0.007056001573801041,
0.04337698593735695,
0.0065174102783203125,
0.009395932778716087,
0.012944300659000874,
0.023335948586463928,
0.04236316680908203,
0.035700924694538116,
-0.017768993973731995,
-0.014528393745422363,
-0.04735984653234482,
-0.00790688581764698,
-0.0005009693559259176,
0.030414581298828125,
-0.015895240008831024,
-0.0026612759102135897,
-0.03166375309228897,
-0.019280672073364258,
0.004589342977851629,
0.017289241775870323,
0.05166858062148094,
0.004516927525401115,
-0.03063182905316353,
0.01826685294508934,
0.003908182960003614,
0.013559834100306034,
0.003014302346855402,
-0.061806775629520416,
0.006521936040371656,
-0.03320258483290672,
-0.00969464797526598,
0.005444752983748913,
0.04420976713299751,
-0.004136744886636734,
0.06405165791511536,
0.017470279708504677,
0.003349224803969264,
0.019280672073364258,
0.03718544542789459,
-0.0026341199409216642,
-0.045440834015607834,
-0.02538169175386429,
-0.00891165342181921,
-0.01788667030632496,
0.04822883754968643,
-0.012093416415154934,
0.025055821985006332,
0.026739485561847687,
-0.006141753867268562,
-0.009586024098098278,
0.011930481530725956,
-0.06484822928905487,
0.0013555308105424047,
0.0037339329719543457,
0.016031019389629364,
-0.029418865218758583,
0.005879247095435858,
0.0304326843470335,
0.0031410297378897667,
0.005838513374328613,
-0.009223945438861847,
-0.07632611691951752,
-0.016881903633475304,
0.02715587615966797,
0.004937843419611454,
0.04160280153155327,
-0.010762779042124748,
0.03267757222056389,
0.008612938225269318,
-0.013976223766803741,
0.0046708108857274055,
0.07180013507604599,
-0.032659467309713364,
0.03943033143877983,
0.013098184019327164,
0.019859997555613518,
-0.012310664169490337,
0.007458813954144716,
0.06589826196432114,
0.02749985083937645,
0.014999095350503922,
0.018484098836779594,
0.04735984653234482,
-0.00033237659954465926,
-0.06492064893245697,
0.03953895717859268,
0.0165560320019722,
-0.021905740723013878,
0.025598939508199692,
0.027952447533607483,
0.028169695287942886,
0.006580773741006851,
0.019859997555613518,
-0.04616498947143555,
-0.021181583404541016,
0.002446291735395789,
0.017533643171191216,
-0.025924809277057648,
0.008069820702075958,
0.013034820556640625,
0.02078329771757126,
-0.06245851516723633,
-0.010183453559875488,
-0.031265463680028915,
-0.023426469415426254,
-0.012627482414245605,
-0.026431718841195107,
-0.0050419410690665245,
-0.00986663531512022,
0.023806652054190636,
-0.050111643970012665,
-0.04051656648516655,
-0.028857644647359848,
-0.05337034910917282,
0.007128417491912842,
0.00785710010677576,
0.012120572850108147,
0.0034035365097224712,
-0.010509324260056019,
-0.02873091772198677,
0.0068885404616594315,
0.023879066109657288,
-0.018511256203055382,
0.005879247095435858,
-0.06434132158756256,
-0.0035144230350852013,
0.04163901135325432,
0.024512704461812973,
0.010617947205901146,
0.006603403948247433,
0.016266370192170143,
-0.008445477113127708,
-0.014727536588907242,
0.060467083007097244,
-0.004888057708740234,
0.025200653821229935,
-0.030867179855704308,
0.011215376667678356,
0.04243558272719383,
-0.021525558084249496,
-0.013351638801395893,
0.044245973229408264,
-0.009395932778716087,
0.025399796664714813,
0.03874238207936287,
-0.04859091341495514,
-0.011215376667678356,
0.006666767410933971,
-0.029418865218758583,
-0.023842860013246536,
0.013324483297765255,
-0.006218695547431707,
0.04688914492726326,
-0.04511496052145958,
-0.024385977536439896,
-0.006811598781496286,
-0.019715165719389915,
-0.02811538428068161,
0.012057209387421608,
0.02337215654551983,
0.0020276387222111225,
-0.044789090752601624,
-0.0006890803342685103,
-0.02279283106327057,
0.0012005160097032785,
-0.005358759313821793,
0.02576187439262867,
0.010581739246845245,
0.0151982381939888,
0.009160581976175308,
-0.01639309711754322,
-0.015551265329122543,
0.012066260911524296,
-0.04446322098374367,
0.002849103882908821,
-0.009160581976175308,
-0.040226902812719345,
0.031573232263326645,
-0.024458391591906548,
0.03063182905316353,
-0.008291593752801418,
-0.058729108422994614,
-0.0043381513096392155,
0.02742743492126465,
0.006259429268538952,
0.013985276222229004,
0.05449279025197029,
-0.03012491762638092,
-0.018004346638917923,
0.010174401104450226,
0.017425021156668663,
-0.0010760516161099076,
0.06329129636287689,
-0.01911773718893528,
0.028405046090483665,
-0.03410778194665909,
-0.011622714810073376,
-0.026359302923083305,
0.041421763598918915,
-0.0318991020321846,
-0.002077424433082342,
-0.026051536202430725,
-0.0031772374641150236,
0.007499547675251961,
-0.041385553777217865,
0.05166858062148094,
-0.017669422551989555,
0.028785228729248047,
-0.012781365774571896,
-0.006788969039916992,
-0.030505100265145302,
0.02587049826979637,
-0.009721803478896618,
-0.006191539578139782,
-0.000547077739611268,
-0.04699777066707611,
0.02572566643357277,
-0.004639128688722849,
-0.026359302923083305,
0.0637982040643692,
-0.018511256203055382,
-0.02838694304227829,
0.03684147074818611,
-0.036750953644514084,
0.0012412498472258449,
-0.010744675062596798,
-0.047178808599710464,
-0.028477462008595467,
-0.03571902960538864,
0.003005250357091427,
0.007363768294453621,
0.006893066689372063,
-0.000318232923746109,
0.032387908548116684,
-0.040190696716308594,
0.020185867324471474,
-0.0018533885013312101,
-0.019208256155252457,
-0.019642749801278114,
0.006621507927775383,
-0.01012009009718895,
-0.04268903657793999,
0.017017683014273643,
-0.04743226245045662,
-0.00793856754899025,
0.0008333459263667464,
-0.01608533039689064,
-0.013623197562992573,
0.06846901774406433,
0.008087924681603909,
0.061082616448402405,
0.030179230496287346,
0.0159133430570364,
0.02730070799589157,
-0.035284534096717834,
0.02112727239727974,
-0.03580954670906067,
0.06448615342378616,
0.013994327746331692,
0.0405527763068676,
-0.013641301542520523,
0.02453080751001835,
0.030070606619119644,
-0.012328768149018288,
-0.014845211990177631,
-0.035700924694538116,
-0.027934344485402107,
-0.0027133245021104813,
-0.012908092699944973,
0.04127693176269531,
0.024042002856731415,
0.006915696430951357,
0.03599058836698532,
0.07009837031364441,
0.02498340606689453,
-0.017913825809955597,
-0.030505100265145302,
0.03274998813867569,
-0.017406916245818138,
0.00476133031770587,
-0.02807917632162571,
-0.0032881239894777536,
0.015125823207199574,
0.013125340454280376,
0.002950938418507576,
0.010047674179077148,
0.0349043533205986,
0.013532678596675396,
0.008015509694814682,
-0.04996681213378906,
-0.003027880098670721,
-0.041928671300411224,
-0.0041639008559286594,
-0.009432140737771988,
-0.019570333883166313,
0.05923601612448692,
0.003552893875166774,
-0.007902359589934349,
0.0007660220144316554,
-0.011133909225463867,
0.012564118951559067,
-0.05329793319106102,
0.00894786138087511,
0.0044829826802015305,
0.042001087218523026,
-0.003944390919059515,
0.00807887315750122,
-0.021217791363596916,
-0.011731338687241077,
-0.01506245881319046,
-0.011188221164047718,
-0.02367992326617241,
-0.0019269357435405254,
0.05901877209544182,
0.012690845876932144,
-0.016139641404151917,
0.015252550132572651,
0.009739907458424568,
-0.0008418321376666427,
-0.007522177882492542,
-0.01567799225449562,
-0.02440408058464527,
-0.003068614052608609,
-0.01938929595053196,
-0.016791382804512978,
0.009178685955703259,
0.011242533102631569,
0.04844608157873154,
-0.022955767810344696,
0.009223945438861847,
0.018972905352711678,
-0.018520306795835495,
-0.005318025592714548,
-0.018991008400917053,
-0.016384044662117958,
0.017913825809955597,
0.022756624966859818,
0.00891165342181921,
0.00859030894935131,
0.0045644501224160194,
0.017569851130247116,
0.001396264648064971,
-0.0004955947515554726,
0.05105304718017578,
-0.000054028878366807476,
0.04171142727136612,
-0.008454529568552971,
-0.027011044323444366,
-0.003819926641881466,
0.00018202923820354044,
-0.042037297040224075,
0.052392736077308655,
-0.0056348443031311035,
0.0008735139854252338,
-0.020946232602000237,
0.05083579942584038,
0.05141512677073479,
0.0375475250184536,
-0.023842860013246536,
0.04873574525117874,
-0.02818780019879341,
-0.013270171359181404,
0.012093416415154934,
0.010310180485248566,
-0.012030052952468395,
-0.014646069146692753,
0.015750408172607422,
-0.05271860584616661,
0.043268363922834396,
-0.0316818542778492,
-0.03186289593577385,
0.016583187505602837,
-0.04468046873807907,
0.004480719566345215,
-0.037330277264118195,
-0.019334983080625534,
-0.05775149539113045,
0.039068251848220825,
-0.006702975369989872,
-0.0035280007869005203,
-0.007748476695269346,
0.01996862143278122,
-0.00021371108596213162,
0.02371613122522831,
-0.02583429031074047,
-0.024585120379924774,
-0.02235833741724491,
0.029292138293385506,
-0.011984793469309807,
-0.0180586576461792,
-0.018275905400514603,
0.003530263900756836,
-0.015922395512461662,
-0.044390805065631866,
-0.029364554211497307,
-0.0015241235960274935,
0.02147124521434307,
-0.024385977536439896,
0.02807917632162571,
-0.011161064729094505,
-0.0019416451686993241,
-0.0406251922249794,
0.015614628791809082,
-0.013442158699035645,
0.012763261795043945,
0.03380001336336136,
-0.02518254891037941,
-0.030541308224201202,
0.035737134516239166,
-0.011378312483429909,
-0.050727177411317825,
0.018447890877723694,
-0.019606541842222214,
-0.014139159582555294,
0.040154486894607544,
-0.040335528552532196,
-0.028948163613677025,
-0.013080080039799213,
0.0057027339935302734,
-0.020710881799459457,
0.00746333971619606,
0.02170659601688385,
-0.036750953644514084,
0.01040975283831358,
0.014854264445602894,
0.0375475250184536,
0.006702975369989872,
-0.016347836703062057,
0.05090821534395218,
-0.05481866002082825,
-0.008508841507136822,
0.007187255192548037,
0.0003487832727842033,
-0.03445175290107727,
0.015822824090719223,
-0.017397863790392876,
-0.028133487328886986,
-0.024150624871253967,
-0.04457184299826622,
0.00865367241203785,
-0.036714743822813034,
-0.0017594745149835944,
0.045440834015607834,
-0.00897954311221838,
-0.015569369308650494,
-0.030016295611858368
] |
Artificial intelligence (AI) and human-machine interaction (HMI) are two
keywords that usually do not fit embedded applications. Within the steps needed
before applying AI to solve a specific task, HMI is usually missing during the
AI architecture design and the training of an AI model. The human-in-the-loop
concept is prevalent in all other steps of developing AI, from data analysis
via data selection and cleaning to performance evaluation. During AI
architecture design, HMI can immediately highlight unproductive layers of the
architecture so that lightweight network architecture for embedded applications
can be created easily. We show that by using this HMI, users can instantly
distinguish which AI architecture should be trained and evaluated first since a
high accuracy on the task could be expected. This approach reduces the
resources needed for AI development by avoiding training and evaluating AI
architectures with unproductive layers and leads to lightweight AI
architectures. These resulting lightweight AI architectures will enable HMI
while running the AI on an edge device. By enabling HMI during an AI uses
inference, we will introduce the AI-in-the-loop concept that combines AI's and
humans' strengths. In our AI-in-the-loop approach, the AI remains the working
horse and primarily solves the task. If the AI is unsure whether its inference
solves the task correctly, it asks the user to use an appropriate HMI.
Consequently, AI will become available in many applications soon since HMI will
make AI more reliable and explainable. | [
-0.03633939102292061,
0.050636567175388336,
-0.03400697559118271,
-0.05291556939482689,
0.05879111960530281,
-0.010317823849618435,
-0.0022545200772583485,
0.0020063670817762613,
-0.019140051677823067,
0.005612931679934263,
-0.003264936851337552,
-0.027721917256712914,
0.0034118257462978363,
0.018499083817005157,
-0.034487705677747726,
0.004878487903624773,
0.027864355593919754,
-0.012952919118106365,
-0.0010966582922264934,
-0.03201285004615784,
0.006231645122170448,
-0.02125881239771843,
-0.063705213367939,
0.012383168563246727,
0.026457784697413445,
0.0007333310786634684,
0.006009086035192013,
0.014225955121219158,
-0.05957452580332756,
0.03610793128609657,
-0.02359122782945633,
-0.01629129983484745,
-0.004437821451574564,
-0.04590051621198654,
-0.02743704244494438,
-0.03991813585162163,
0.020154919475317,
0.05512335151433945,
0.003135852748528123,
0.029199708253145218,
0.05152680352330208,
-0.001740409410558641,
-0.021650515496730804,
-0.019140051677823067,
-0.02496218867599964,
-0.030143357813358307,
-0.03489721193909645,
-0.009093750268220901,
0.01373632624745369,
0.028184840455651283,
0.03146090358495712,
-0.040701545774936676,
0.015356553718447685,
0.05245264619588852,
-0.038885463029146194,
0.02528267353773117,
0.012454387731850147,
0.01224963366985321,
0.029217513278126717,
0.013860958628356457,
-0.03860059008002281,
-0.005577322095632553,
-0.022113436833024025,
-0.01665629632771015,
-0.024552680552005768,
-0.06936711072921753,
-0.004335444420576096,
0.013843154534697533,
-0.015783866867423058,
-0.01157305482774973,
-0.04084398224949837,
-0.01621118001639843,
-0.0023925064597278833,
-0.009285151027143002,
-0.011154644191265106,
-0.029253121465444565,
0.0209383275359869,
0.06701689213514328,
0.004967511165887117,
0.008323697373270988,
0.015409967862069607,
-0.018837371841073036,
0.012935114093124866,
0.004110659938305616,
0.04433370381593704,
0.006138170138001442,
0.01743970438838005,
-0.06196035444736481,
-0.005212326068431139,
-0.028309473767876625,
-0.07620411366224289,
0.026333151385188103,
-0.02670704945921898,
0.013807544484734535,
-0.04604295268654823,
0.03041042760014534,
-0.018712740391492844,
0.01675422303378582,
-0.0036722193472087383,
-0.0325469933450222,
0.007905286736786366,
-0.02697412110865116,
0.05010242387652397,
0.0031002433970570564,
0.034487705677747726,
-0.010549284517765045,
0.005007572006434202,
0.01864152029156685,
0.006476459559053183,
0.09450734406709671,
-0.01304194238036871,
-0.03959765285253525,
0.002188865328207612,
-0.026618026196956635,
-0.036855727434158325,
-0.028808005154132843,
-0.001618002075701952,
-0.03842254355549812,
0.05462481826543808,
0.01395888440310955,
0.022736601531505585,
0.05565749108791351,
0.032831866294145584,
0.041484951972961426,
-0.03771035373210907,
0.05847063288092613,
0.0069527351297438145,
-0.07314170897006989,
0.05213216319680214,
0.016709711402654648,
0.0434078574180603,
0.046648312360048294,
0.0465770959854126,
0.02775752730667591,
0.014012298546731472,
0.007615960203111172,
0.01595301181077957,
-0.003917033784091473,
-0.024160977452993393,
0.004032764583826065,
-0.027526065707206726,
-0.04440492019057274,
-0.058399416506290436,
0.033739905804395676,
0.04358590394258499,
0.026564612984657288,
-0.02806020714342594,
0.051419973373413086,
-0.08802643418312073,
-0.00643194792792201,
-0.06463105976581573,
0.024926580488681793,
-0.02715216763317585,
0.033900149166584015,
0.07684508711099625,
-0.07118318974971771,
-0.036998167634010315,
-0.04176982492208481,
-0.040238622575998306,
-0.009098201990127563,
0.05729552358388901,
-0.052951179444789886,
-0.03165675699710846,
0.028665566816926003,
0.04561563953757286,
-0.013255598954856396,
-0.03706938400864601,
-0.019353708252310753,
-0.06872614473104477,
0.054838474839925766,
-0.05198972299695015,
0.006271705497056246,
-0.0028554287273436785,
0.02234489843249321,
0.006049146875739098,
0.019602974876761436,
-0.013398036360740662,
-0.011608663946390152,
-0.06484472006559372,
0.009703561663627625,
-0.03489721193909645,
-0.023858297616243362,
0.025015603750944138,
0.00036944751627743244,
0.0349150151014328,
-0.013807544484734535,
0.07057783007621765,
0.015036068856716156,
0.025104627013206482,
-0.028647761791944504,
-0.017181536182761192,
-0.014947045594453812,
0.06196035444736481,
-0.030499450862407684,
-0.03461233526468277,
-0.07463730126619339,
0.00098315323702991,
0.025086821988224983,
-0.005563968792557716,
-0.0043977610766887665,
-0.03557379171252251,
-0.026475589722394943,
-0.05416189879179001,
0.059040386229753494,
0.018801763653755188,
-0.04874926805496216,
-0.011608663946390152,
-0.018997615203261375,
0.017065804451704025,
-0.02604827657341957,
0.051135096698999405,
0.012053782120347023,
-0.013059747405350208,
-0.06427496671676636,
-0.0011739974142983556,
-0.01987004466354847,
0.002980061573907733,
-0.03457672894001007,
-0.026101689785718918,
0.005897806957364082,
0.0016480475896969438,
0.00020364126248750836,
0.04173421487212181,
-0.06285059452056885,
0.0009158292668871582,
0.011270374990999699,
-0.027116557583212852,
-0.009075946174561977,
0.030624084174633026,
-0.007584802340716124,
-0.004126239102333784,
0.03260040655732155,
0.05309361591935158,
-0.013558278791606426,
0.027650699019432068,
-0.017991648986935616,
0.03260040655732155,
-0.0326182097196579,
-0.012018172070384026,
-0.03144310042262077,
0.007153038401156664,
0.02109856903553009,
-0.041342511773109436,
0.009481002576649189,
0.05387702211737633,
-0.03315235301852226,
0.03849375993013382,
0.022006608545780182,
-0.01908663846552372,
0.015151799656450748,
0.017929332330822945,
0.026279736310243607,
0.007108526304364204,
0.0029221964068710804,
0.01126147247850895,
0.09429369121789932,
0.05807892978191376,
-0.03646402433514595,
0.012196219526231289,
0.005951221100986004,
0.023982930928468704,
0.03286747634410858,
0.05241703614592552,
0.04914097115397453,
-0.031282857060432434,
-0.03609012812376022,
0.06374082714319229,
0.003923710901290178,
0.020706865936517715,
-0.032529186457395554,
0.008105590008199215,
-0.005417080130428076,
0.009107103571295738,
0.019122248515486717,
-0.004793915431946516,
-0.07969383895397186,
0.044618576765060425,
0.03543135151267052,
0.05287995934486389,
0.01705690287053585,
-0.017769090831279755,
-0.015454479493200779,
0.04280249774456024,
0.004457851871848106,
-0.03276064619421959,
-0.08645962178707123,
-0.06765785813331604,
-0.007891933433711529,
-0.04860683158040047,
-0.020421991124749184,
-0.027810940518975258,
-0.006280608009546995,
-0.012409876100718975,
-0.03664207085967064,
0.07406755536794662,
0.039953745901584625,
-0.017163731157779694,
0.004553551785647869,
0.012819384224712849,
-0.054980915039777756,
0.036998167634010315,
-0.016558371484279633,
-0.005946769844740629,
0.046612706035375595,
0.04326542094349861,
0.028914833441376686,
0.029288731515407562,
0.04704001545906067,
0.015801671892404556,
-0.04525954648852348,
0.005715308710932732,
0.028790200129151344,
-0.04704001545906067,
-0.006957186385989189,
-0.01940712332725525,
0.040559105575084686,
0.04219713807106018,
-0.029591411352157593,
-0.00689932145178318,
-0.0073934015817940235,
0.004346572328358889,
-0.01987004466354847,
-0.14236637949943542,
0.02125881239771843,
-0.03548476845026016,
0.007246512919664383,
0.0035053002648055553,
-0.015053873881697655,
-0.02357342280447483,
-0.0302679892629385,
-0.07976505905389786,
-0.03753230720758438,
0.006654506549239159,
-0.013584986329078674,
0.02604827657341957,
-0.05138436332345009,
-0.005906709004193544,
0.012997430749237537,
-0.017243852838873863,
0.01015758141875267,
-0.005470494274049997,
-0.0465058758854866,
-0.02343098446726799,
-0.008332599885761738,
-0.039633262902498245,
-0.05227459967136383,
-0.02670704945921898,
0.007250964175909758,
-0.0037412126548588276,
-0.0040728249587118626,
0.0010248830076307058,
-0.03137188032269478,
0.03609012812376022,
-0.007380048278719187,
-0.030802130699157715,
-0.04750293865799904,
-0.0028264960274100304,
0.02373366430401802,
-0.03432746231555939,
0.04052349552512169,
0.028647761791944504,
-0.050992660224437714,
0.009409784339368343,
0.025977056473493576,
-0.051882896572351456,
0.000738338625524193,
-0.020902717486023903,
-0.030606279149651527,
0.00787412840873003,
0.0016391451936215162,
-0.0178581140935421,
0.04629221931099892,
0.012721458449959755,
0.012231828644871712,
-0.028968246653676033,
0.05320044234395027,
0.015374358743429184,
-0.03988252952694893,
-0.018356645479798317,
0.04440492019057274,
0.02188197709619999,
0.040274232625961304,
-0.008960215374827385,
0.05782966688275337,
-0.011519640684127808,
0.06110573187470436,
0.01701239123940468,
-0.019015420228242874,
0.027258995920419693,
0.08346842974424362,
0.04155616834759712,
-0.038564980030059814,
-0.003832461778074503,
-0.07342658191919327,
0.04639904946088791,
-0.00655212951824069,
0.05633407086133957,
-0.017386289313435555,
0.041022028774023056,
0.00504763238132,
-0.01864152029156685,
0.023003673180937767,
0.037176214158535004,
0.027864355593919754,
-0.024784142151474953,
0.02359122782945633,
-0.016763124614953995,
0.031265053898096085,
0.01187573466449976,
-0.017350679263472557,
0.00039420719258487225,
-0.00519452104344964,
-0.011279277503490448,
-0.03646402433514595,
-0.026742659509181976,
-0.0015334298368543386,
-0.014858022332191467,
0.009703561663627625,
0.03598329797387123,
-0.04394200071692467,
-0.0027730821166187525,
0.0256031583994627,
0.02713436260819435,
-0.0465414859354496,
0.005043181125074625,
0.0021254359744489193,
-0.034683555364608765,
0.0046470267698168755,
-0.013228892348706722,
-0.044476140290498734,
0.015694843605160713,
-0.007976505905389786,
0.00539482431486249,
-0.02992970123887062,
-0.029983114451169968,
-0.037603527307510376,
0.03073091246187687,
0.04853561148047447,
-0.027668504044413567,
0.007767300587147474,
-0.05597797781229019,
0.0002823714166879654,
-0.017421899363398552,
0.03242236003279686,
-0.06484472006559372,
-0.022006608545780182,
0.010736234486103058,
-0.032173093408346176,
-0.0004682079597841948,
-0.052666302770376205,
-0.06901101768016815,
0.04127129539847374,
-0.05961013585329056,
-0.029840677976608276,
0.023235132917761803,
-0.025015603750944138,
0.021650515496730804,
-0.01731507107615471,
0.028914833441376686,
-0.06085646525025368,
0.008457232266664505,
0.09536197036504745,
0.03525330498814583,
-0.009899413213133812,
0.022700993344187737,
0.0037812732625752687,
-0.038707416504621506,
0.03210187330842018,
0.02003028802573681,
0.05145558342337608,
0.010584894567728043,
-0.02003028802573681,
0.06559251248836517,
-0.014012298546731472,
0.024089759215712547,
-0.016602883115410805,
-0.012854993343353271,
-0.012240731157362461,
-0.010682820342481136,
-0.0009597846074029803,
-0.02077808417379856,
0.0045758080668747425,
0.03966887295246124,
-0.006979442201554775,
-0.0012641337234526873,
0.02902166172862053,
0.05291556939482689,
0.0209383275359869,
0.032368943095207214,
-0.033116742968559265,
-0.02204221859574318,
-0.000294890342047438,
0.026653636246919632,
-0.013398036360740662,
-0.06235205754637718,
-0.0497107207775116,
-0.04251762479543686,
0.015392162837088108,
0.04159177839756012,
0.035449158400297165,
-0.04946145787835121,
-0.004762757103890181,
-0.008105590008199215,
0.015053873881697655,
-0.00523013062775135,
0.02437463402748108,
0.012774872593581676,
-0.026653636246919632,
0.04704001545906067,
0.01922907680273056,
0.017341777682304382,
0.040345449000597,
0.017412995919585228,
-0.020724670961499214,
0.06064280867576599,
0.00904033612459898,
-0.018534692004323006,
0.016415933147072792,
0.016398128122091293,
0.019175661727786064,
-0.0013119837967678905,
0.018499083817005157,
0.03244016319513321,
0.002859879983589053,
-0.016887757927179337,
0.02125881239771843,
0.03642841428518295,
0.017065804451704025,
-0.012098293751478195,
-0.029057269915938377,
-0.038849856704473495,
-0.01659397967159748,
-0.057153087109327316,
-0.000909152498934418,
-0.027045339345932007,
0.00961453840136528,
0.044582970440387726,
0.053449708968400955,
-0.03347283601760864,
-0.009650147520005703,
-0.06110573187470436,
0.01280157919973135,
0.05476725846529007,
0.06448861956596375,
-0.022255875170230865,
0.0003388456825632602,
0.01956736482679844,
-0.04750293865799904,
-0.05045852065086365,
0.0348794087767601,
0.01397668942809105,
0.001980772940441966,
0.01667410135269165,
0.0023034829646348953,
-0.0014332783175632358,
-0.017929332330822945,
0.028629956766963005,
-0.040879592299461365,
-0.02743704244494438,
0.0004125682753510773,
0.026172908022999763,
-0.007745044305920601,
0.005880001932382584,
0.020226139575242996,
-0.02809581719338894,
-0.004971962422132492,
0.030357012525200844,
-0.00148446683306247,
0.022398311644792557,
0.06808517128229141,
-0.02170392870903015,
-0.008510646410286427,
-0.016683004796504974,
-0.02515804022550583,
-0.018267622217535973,
0.028327276930212975,
0.023235132917761803,
-0.060927681624889374,
-0.014786803163588047,
0.02779313735663891,
0.0009002501610666513,
0.015125093050301075,
0.011003304272890091,
0.025514135137200356,
0.015721550211310387,
0.002274550497531891,
-0.023466594517230988,
-0.061533041298389435,
-0.04169860854744911,
-0.022879039868712425,
0.050672177225351334,
0.032653819769620895,
-0.013309013098478317,
0.017039097845554352,
0.01288170088082552,
0.012632434256374836,
0.014501928351819515,
0.03377551585435867,
0.02727680094540119,
-0.03386453911662102,
0.020243944600224495,
0.021169789135456085,
0.0652364194393158,
0.09386637806892395,
0.02743704244494438,
0.0017671164823696017,
-0.0279355738312006,
0.0037389870267361403,
-0.01218731701374054,
-0.0009186112438328564,
0.035912081599235535,
-0.009213931858539581,
0.04525954648852348,
0.006227193865925074,
0.030837740749120712,
-0.03317015618085861,
-0.02886141836643219,
0.011297082528471947,
-0.023306353017687798,
-0.0011951405322179198,
0.015294237062335014,
-0.002808691468089819,
0.0263687614351511,
0.013549376279115677,
-0.007794007193297148,
0.00021198720787651837,
0.004382181912660599,
-0.0032181995920836926,
0.019335905089974403,
-0.00701950304210186,
-0.02387610264122486,
0.010380140505731106,
-0.0387430265545845,
-0.03941960632801056,
0.03119383379817009,
-0.015979718416929245,
-0.006298412568867207,
0.025247065350413322,
0.0287189818918705,
-0.011047815904021263,
-0.013015235774219036,
0.012676946818828583,
-0.026813877746462822,
0.07413876801729202,
-0.013335720635950565,
0.055479444563388824,
-0.005105497781187296,
-0.05302239581942558,
0.036232564598321915,
0.026813877746462822,
0.03696255758404732,
0.0018205306259915233,
0.013620595447719097,
0.026867292821407318,
-0.005630736239254475,
-0.014751194044947624,
0.03454111889004707,
0.009703561663627625,
0.02451707236468792,
0.013629497960209846,
0.04935462772846222,
0.01195585634559393,
0.04882048815488815,
-0.00578207615762949,
0.015392162837088108,
0.020261747762560844,
-0.019140051677823067,
0.011448422446846962,
-0.020350772887468338,
0.04379956051707268,
-0.014555342495441437,
-0.02202441357076168,
-0.020386381074786186,
0.01513399463146925,
0.0028665566351264715,
-0.032208703458309174,
0.015552405267953873,
0.025656573474407196,
0.009481002576649189,
-0.015044971369206905,
-0.016460444778203964,
-0.008172357454895973,
-0.001165095018222928,
-0.01226743869483471,
-0.01739519275724888,
-0.005056534893810749,
-0.03350844606757164,
0.04622100293636322,
-0.0143505884334445,
-0.004119562450796366,
-0.016843246296048164,
0.00848839059472084,
0.02343098446726799,
0.02077808417379856,
-0.01622898317873478,
0.049568284302949905,
-0.046007346361875534,
-0.021792951971292496,
0.05149119347333908,
-0.008924606256186962,
-0.036713290959596634,
-0.004985316190868616,
-0.030178966000676155,
-0.009427588433027267,
0.030606279149651527,
0.0046559288166463375,
0.008831131272017956,
-0.012605727650225163,
-0.05490969493985176,
-0.02232709340751171,
0.007108526304364204,
0.010727331973612309,
0.009828194044530392,
0.01693226955831051,
0.055621881037950516,
0.04016740247607231,
-0.011430617421865463,
-0.009320760145783424,
-0.056547727435827255,
0.045544423162937164,
0.04294493794441223,
-0.020671255886554718,
0.015561307780444622,
-0.04066593572497368,
-0.009694659151136875,
0.030072137713432312,
0.00427980488166213,
0.015641428530216217,
-0.0341850221157074,
-0.011457324028015137,
0.060607198625802994,
-0.038386933505535126,
-0.03849375993013382,
0.0225051399320364,
-0.02188197709619999,
-0.023003673180937767,
0.027080949395895004,
0.04472540691494942,
-0.006293961312621832,
-0.004900743719190359,
-0.020582232624292374,
-0.012623532675206661,
0.0018928621429949999,
-0.03598329797387123,
-0.016585078090429306,
-0.021223202347755432,
-0.03920594975352287,
0.025994861498475075,
-0.033294789493083954,
0.018499083817005157,
0.03290308639407158,
-0.008528451435267925,
0.040701545774936676,
-0.06242327764630318,
-0.0112525699660182,
-0.008274734020233154,
0.007219805847853422,
-0.005630736239254475,
0.008439428173005581,
-0.013771935366094112,
-0.02467731386423111,
0.028914833441376686,
-0.0003121386398561299,
0.06381204724311829,
0.049105361104011536,
0.02405414916574955,
-0.0013219990069046617,
-0.016415933147072792,
0.00016149418661370873,
0.026956316083669662,
0.02948458306491375,
0.03041042760014534,
0.028487520292401314,
-0.06751542538404465,
-0.0018528015352785587,
-0.05540822446346283,
-0.0089201545342803,
0.008341502398252487,
-0.02246953174471855,
-0.010050753131508827,
-0.024410244077444077,
0.04123568534851074,
-0.020867107436060905,
0.053129225969314575,
-0.017849212512373924,
0.00621384009718895,
-0.035449158400297165,
-0.04686196893453598,
0.03473696857690811,
0.035591594874858856,
0.013923275284469128,
0.013647302985191345,
0.028665566816926003,
-0.0057776253670454025,
0.03817327693104744,
-0.027543870732188225,
0.040309838950634,
-0.025033408775925636,
0.042588841170072556,
-0.01427046675235033,
0.0465414859354496,
-0.004273127764463425,
0.016950074583292007,
0.03039262257516384,
-0.060892075300216675,
-0.0026885096449404955,
-0.014163638465106487,
-0.057437963783741,
0.005497201345860958,
0.031247248873114586,
0.03073091246187687,
0.035609401762485504,
0.01766226254403591,
0.017893724143505096,
0.048321954905986786,
0.0025616511702537537,
0.008626377210021019,
0.037496697157621384,
-0.02622632309794426,
0.0022767758928239346,
-0.011920246295630932,
-0.0044667539186775684,
-0.024250000715255737,
-0.014377295039594173,
-0.0434434674680233,
0.0028665566351264715,
0.025247065350413322,
0.03578744828701019,
-0.007722788490355015,
-0.004624770954251289,
0.018338840454816818,
0.0029244220349937677,
0.043835170567035675,
0.028184840455651283,
-0.03610793128609657,
0.028042402118444443,
-0.029288731515407562,
0.0010321162408217788,
-0.01200927048921585,
0.02403634414076805,
-0.03042823262512684,
-0.014697779901325703,
-0.0512063167989254,
0.014190346002578735,
-0.040096186101436615,
-0.03427404910326004,
-0.03381112590432167,
-0.010184288024902344,
0.005768722854554653,
0.010184288024902344,
0.023235132917761803,
0.014510830864310265,
0.022255875170230865,
0.03573403134942055,
0.0023991833440959454,
-0.006458654999732971,
0.02467731386423111,
-0.0019674194045364857,
0.027063144370913506,
-0.022451726719737053,
0.008439428173005581,
0.0013453676365315914,
-0.017270559445023537,
-0.022594165056943893,
0.017039097845554352,
-0.03603671118617058,
-0.013869861140847206,
0.007905286736786366,
0.016407031565904617,
-0.013166575692594051,
-0.005470494274049997,
-0.03226211667060852,
-0.0075491927564144135,
0.003919259645044804,
-0.004833976272493601,
0.009570025838911533,
0.01759994588792324,
0.03578744828701019,
-0.03924155980348587,
-0.01334462221711874,
-0.007277671247720718,
0.019175661727786064,
-0.01489363145083189,
0.0225229449570179,
0.034808188676834106,
0.04308737441897392,
-0.006623348221182823,
-0.03974008932709694,
0.013887666165828705,
-0.026760464534163475,
-0.0030824386049062014,
0.05060095712542534,
0.05380580201745033,
-0.009009177796542645,
0.029270926490426064,
0.0387786366045475,
0.003950417973101139,
0.003899229224771261,
0.05263069272041321,
0.007891933433711529,
0.02574559673666954,
-0.05177606642246246,
-0.040274232625961304,
0.015240822918713093,
-0.037781573832035065,
0.000927513581700623,
-0.020243944600224495,
-0.029520193114876747,
0.001972983358427882,
-0.05875550955533981,
-0.020368576049804688,
0.02156149223446846,
-0.00825692992657423,
-0.025816814973950386,
-0.00009896909614326432,
-0.03231552988290787,
-0.04326542094349861,
-0.045223936438560486,
0.00713968463242054,
-0.044582970440387726,
0.050351690500974655,
0.04241079464554787,
-0.009935022331774235,
-0.012409876100718975,
-0.029858481138944626,
0.014617658220231533,
-0.001699236105196178,
0.016558371484279633,
0.0011951405322179198,
-0.015142897143959999,
-0.061817917972803116,
0.03502184525132179,
0.03304552286863327,
0.03609012812376022,
0.06876175105571747,
0.0019718704279512167,
-0.06794273853302002,
-0.009685756638646126,
-0.05309361591935158,
-0.00043092938722111285,
0.006845907308161259,
0.0001727612252580002,
-0.02578120492398739,
0.028469715267419815,
-0.013540474697947502,
-0.01892639696598053,
-0.022416116669774055,
0.003743438282981515,
0.0027775331400334835,
0.040416669100522995,
-0.035271111875772476,
0.025478525087237358,
0.023680251091718674,
-0.02777533233165741,
-0.03566281497478485,
-0.034380875527858734,
-0.004139592871069908,
-0.03240455314517021,
0.0007689404883421957,
0.04946145787835121,
-0.008154552429914474,
0.013264501467347145,
0.0029288730584084988,
0.006124816834926605,
0.005768722854554653,
0.01543667446821928,
-0.02188197709619999,
-0.04237518459558487,
-0.043372247368097305,
0.0014499702956527472,
0.009409784339368343,
-0.008029920049011707,
-0.01193805132061243,
-0.01707470789551735,
0.01598861999809742,
-0.03632158786058426,
0.008167905732989311,
-0.041022028774023056,
-0.01613105833530426,
0.013077552430331707,
0.005101046524941921,
-0.01653166301548481,
0.033437225967645645,
-0.03525330498814583,
-0.0035631656646728516,
-0.008710949681699276,
0.0248553603887558,
-0.02173953875899315,
-0.05131314694881439,
0.0333482027053833,
-0.028754590079188347,
0.011297082528471947,
0.006712371949106455,
-0.022932453081011772,
-0.03226211667060852,
-0.008417172357439995,
0.006071402691304684,
-0.006231645122170448,
-0.019282490015029907,
0.01194695383310318,
-0.030908958986401558,
-0.027080949395895004,
-0.00854625552892685,
0.033134546130895615,
-0.024000735953450203,
0.055301398038864136,
0.017306167632341385,
0.030303599312901497,
-0.027348019182682037,
0.04839317500591278,
0.046007346361875534,
0.007495778612792492,
0.002100954530760646,
0.010976597666740417,
-0.017021292820572853,
0.04607856273651123,
-0.023787079378962517,
-0.016585078090429306,
-0.01162646897137165,
-0.03477257862687111,
0.038849856704473495,
0.02140124887228012,
-0.0075625465251505375,
0.03616134449839592
] |
Pretrained protein structure models without labels are crucial foundations
for the majority of protein downstream applications. The conventional structure
pretraining methods follow the mature natural language pretraining methods such
as denoised reconstruction and masked language modeling but usually destroy the
real representation of spatial structures. The other common pretraining methods
might predict a fixed set of predetermined object categories, where a
restricted supervised manner limits their generality and usability as
additional labeled data is required to specify any other protein concepts. In
this work, we introduce a novel unsupervised protein structure representation
pretraining with a robust protein language model. In particular, we first
propose to leverage an existing pretrained language model to guide structure
model learning through an unsupervised contrastive alignment. In addition, a
self-supervised structure constraint is proposed to further learn the intrinsic
information about the structures. With only light training data, the pretrained
structure model can obtain better generalization ability. To quantitatively
evaluate the proposed structure models, we design a series of rational
evaluation methods, including internal tasks (e.g., contact map prediction,
distribution alignment quality) and external/downstream tasks (e.g., protein
design). The extensive experimental results conducted on multiple tasks and
specific datasets demonstrate the superiority of the proposed
sequence-structure transformation framework. | [
0.04304351657629013,
0.003965413197875023,
-0.025896236300468445,
0.031255804002285004,
0.05379604920744896,
-0.018716750666499138,
0.006056646816432476,
0.00239177024923265,
-0.02410971187055111,
-0.016729868948459625,
0.01261418778449297,
0.013749548234045506,
0.02158854529261589,
-0.021755509078502655,
0.0022853303235024214,
-0.024226587265729904,
0.020503273233771324,
0.03456170856952667,
-0.028050081804394722,
-0.05466426536440849,
0.025528913363814354,
-0.029469281435012817,
-0.03830171748995781,
0.02596302144229412,
0.053161583840847015,
0.014717943966388702,
0.034461528062820435,
0.0018720924854278564,
-0.030454372987151146,
0.034227777272462845,
-0.011002978309988976,
-0.0025086456444114447,
0.006436491850763559,
0.0028843162581324577,
-0.07573521882295609,
0.025612395256757736,
0.019852111116051674,
0.046416204422712326,
-0.01193798054009676,
0.021004168316721916,
-0.0027737021446228027,
-0.031055446714162827,
-0.01648777164518833,
-0.05059032514691353,
0.037767428904771805,
-0.08261416852474213,
-0.04417887702584267,
0.03549670800566673,
-0.016153842210769653,
-0.026163378730416298,
0.00740071339532733,
0.00738819083198905,
0.020603451877832413,
-0.03117232210934162,
-0.036131177097558975,
0.06097553297877312,
0.024126408621668816,
0.010293377563357353,
0.07847344130277634,
0.03579724580049515,
-0.025812752544879913,
-0.020870596170425415,
-0.004624924156814814,
-0.027615971863269806,
0.02936910279095173,
-0.0132820475846529,
-0.01454263087362051,
-0.037901002913713455,
0.022506851702928543,
0.019802020862698555,
-0.006515800021588802,
-0.007279663812369108,
-0.011270121671259403,
-0.013716155663132668,
-0.01365771796554327,
0.049488358199596405,
0.03970422223210335,
0.05199282988905907,
0.07199520617723465,
-0.025111502036452293,
0.05239354446530342,
0.05145854130387306,
-0.012973162345588207,
0.018032195046544075,
0.09643884748220444,
0.0051216441206634045,
-0.0122385174036026,
-0.028400707989931107,
0.008314845152199268,
0.0343613475561142,
-0.02057006023824215,
0.03052115999162197,
-0.01268097385764122,
-0.021070953458547592,
-0.06020749360322952,
0.003429038915783167,
-0.004516397137194872,
-0.010385208763182163,
-0.06157660484313965,
-0.017047103494405746,
-0.029235530644655228,
0.00716696260496974,
-0.008206318132579327,
0.04127369076013565,
-0.02242336794734001,
-0.029235530644655228,
0.022072741761803627,
0.006273701321333647,
-0.025061411783099174,
0.13691110908985138,
-0.01585330441594124,
-0.02703159675002098,
0.019802020862698555,
0.02093738131225109,
-0.024593910202383995,
-0.0385354682803154,
-0.0981752872467041,
-0.04801906645298004,
0.036698855459690094,
-0.04090636968612671,
0.04671674221754074,
0.02736552618443966,
-0.0028780552092939615,
-0.0744662880897522,
-0.020419791340827942,
0.06835537403821945,
-0.02522837556898594,
-0.014250443316996098,
0.015661295503377914,
0.07433271408081055,
-0.028834816068410873,
0.008344064466655254,
0.011144897900521755,
-0.03689921274781227,
0.04100654646754265,
0.06645197421312332,
-0.023842569440603256,
0.0486869253218174,
-0.012196776457130909,
-0.01693022809922695,
0.004595705308020115,
-0.013115082867443562,
-0.054230157285928726,
-0.0072504449635744095,
0.0697912722826004,
0.0434776246547699,
-0.017147282138466835,
0.09991171956062317,
0.033760275691747665,
-0.027348829433321953,
-0.021571848541498184,
0.0071878330782055855,
-0.006519974209368229,
0.02289086952805519,
0.019117465242743492,
0.016345851123332977,
0.0032787707168608904,
0.0016926053212955594,
0.019251037389039993,
-0.033059023320674896,
0.04705067351460457,
-0.034929029643535614,
-0.0013962428783997893,
0.0063029201701283455,
0.04755156487226486,
0.015744777396321297,
0.024410249665379524,
0.011453783139586449,
-0.042275480926036835,
0.03522956743836403,
-0.0016320806462317705,
0.05720213055610657,
0.014467497356235981,
-0.031756699085235596,
-0.04417887702584267,
0.0014442452229559422,
-0.008648774586617947,
0.017481211572885513,
0.0210876502096653,
0.04862014204263687,
-0.03112223371863365,
0.007258793339133263,
0.03970422223210335,
0.01403338834643364,
0.022673815488815308,
0.039336901158094406,
0.025629092007875443,
0.0531281903386116,
-0.013457360677421093,
0.04444602131843567,
-0.008377457037568092,
0.004038460552692413,
0.027282042428851128,
0.006152651738375425,
0.00986761786043644,
-0.06571733206510544,
-0.04127369076013565,
0.007935000583529472,
-0.01781514100730419,
-0.006929038092494011,
-0.05085746943950653,
-0.013206913135945797,
0.017531299963593483,
0.007605245336890221,
0.0004539354704320431,
0.007384017109870911,
0.014667854644358158,
0.09617170691490173,
0.007425758056342602,
-0.0322909876704216,
0.00046932752593420446,
-0.055632662028074265,
-0.055265337228775024,
-0.015945134684443474,
-0.015185445547103882,
-0.021855687722563744,
-0.026864631101489067,
0.011278470046818256,
-0.02895169146358967,
-0.02569587714970112,
-0.025094805285334587,
0.018399517983198166,
0.09136312454938889,
-0.0617101788520813,
-0.02676445245742798,
0.029001779854297638,
0.02285747602581978,
0.013507449999451637,
0.05289443954825401,
0.029018476605415344,
0.020903989672660828,
0.01389146875590086,
0.04574834555387497,
-0.024911142885684967,
0.03740010783076286,
-0.019952289760112762,
0.018316034227609634,
-0.04280976578593254,
0.019885504618287086,
0.017280854284763336,
0.016830049455165863,
-0.02247345820069313,
-0.0006308137672021985,
-0.04835299775004387,
0.06992484629154205,
0.03432795777916908,
-0.012505660764873028,
0.03987118601799011,
0.0033038153778761625,
0.035062599927186966,
0.009767439216375351,
-0.009358375333249569,
0.04471316561102867,
0.05299461632966995,
-0.028968388214707375,
0.021054256707429886,
0.024794267490506172,
-0.06845555454492569,
-0.008277278393507004,
-0.04277637228369713,
0.053629085421562195,
0.01824924908578396,
0.019284430891275406,
0.08147880434989929,
0.03432795777916908,
0.02638043276965618,
0.046149060130119324,
-0.03512938693165779,
0.016679780557751656,
0.05933927744626999,
0.04160762205719948,
-0.00984257273375988,
-0.029536068439483643,
0.04968871548771858,
0.04307691007852554,
-0.04294333979487419,
0.031756699085235596,
-0.0072504449635744095,
0.07934165745973587,
0.013173520565032959,
-0.008223014883697033,
-0.0022665467113256454,
0.010744182392954826,
0.04407870024442673,
0.037901002913713455,
-0.03247464820742607,
-0.03048776648938656,
-0.018499696627259254,
-0.05342872440814972,
-0.033710185438394547,
-0.002074537333101034,
-0.015319017693400383,
-0.04548120126128197,
0.0020682760514318943,
0.027231954038143158,
0.02903517335653305,
-0.04821942374110222,
0.025395341217517853,
0.02936910279095173,
0.03299224004149437,
-0.019100770354270935,
-0.04978889226913452,
0.0001804002095013857,
-0.0003636701439972967,
-0.007417409680783749,
0.03466188535094261,
-0.006874774117022753,
0.06027428060770035,
-0.0583374910056591,
-0.029719728976488113,
0.03940368443727493,
-0.01645437814295292,
0.0132820475846529,
0.016078706830739975,
0.011011326685547829,
0.062378037720918655,
0.0460822768509388,
-0.060841962695121765,
-0.046282634139060974,
-0.005380439572036266,
-0.049254607409238815,
0.011570658534765244,
-0.12963144481182098,
-0.016763262450695038,
0.047351207584142685,
0.007847344502806664,
0.032508041709661484,
-0.004524745047092438,
-0.010777575895190239,
0.0011541439453139901,
-0.049588534981012344,
-0.03335956111550331,
-0.010652352124452591,
0.007254619151353836,
-0.005342872813344002,
0.02340846136212349,
-0.05236015096306801,
0.005722717382013798,
-0.09690634906291962,
-0.054330334067344666,
-0.02345854975283146,
-0.028601065278053284,
0.0036106130573898554,
0.021571848541498184,
0.03225759416818619,
-0.03327607735991478,
-0.01996898651123047,
-0.01000119000673294,
0.0018313948530703783,
0.014709596522152424,
0.0008337803301401436,
-0.011654140427708626,
0.017147282138466835,
0.015736429020762444,
0.012347044423222542,
-0.015819910913705826,
-0.008707212284207344,
0.014175308868288994,
0.013165172189474106,
0.05556587502360344,
0.012221820652484894,
-0.06838876754045486,
-0.040605831891298294,
0.01277280505746603,
-0.06304589658975601,
-0.02062014862895012,
-0.013974950648844242,
0.0022561114747077227,
0.01537745539098978,
0.019434699788689613,
-0.023191405460238457,
0.0243434626609087,
0.02764936536550522,
0.02289086952805519,
-0.008494332432746887,
0.012322000227868557,
0.0064615365117788315,
0.027098381891846657,
-0.0041595096699893475,
0.029051870107650757,
-0.044512808322906494,
0.03148955479264259,
0.008882525376975536,
-0.008093616925179958,
-0.01890041120350361,
0.042509231716394424,
0.02997017651796341,
-0.014467497356235981,
-0.02749909646809101,
0.024126408621668816,
-0.024226587265729904,
-0.06578411906957626,
-0.05152532830834389,
-0.017932016402482986,
0.04741799458861351,
-0.02410971187055111,
0.006866426207125187,
0.021838990971446037,
0.015794867649674416,
0.028183652088046074,
-0.038836006075143814,
0.03466188535094261,
-0.052560508251190186,
-0.024176498875021935,
0.027766240760684013,
-0.01284793857485056,
0.0131484754383564,
-0.015928439795970917,
0.023057835176587105,
-0.025428734719753265,
0.008765649981796741,
-0.059072136878967285,
0.021321401000022888,
0.028417402878403664,
0.022089438512921333,
0.03205723688006401,
-0.039103150367736816,
0.0031535469461232424,
-0.007976741530001163,
0.05322836712002754,
0.0000954177594394423,
-0.028267135843634605,
0.014409059658646584,
0.0015861652791500092,
-0.009825876913964748,
0.004604053683578968,
0.019150858744978905,
0.020302915945649147,
-0.043811555951833725,
-0.0544305145740509,
0.10451994836330414,
0.01142039056867361,
-0.024593910202383995,
-0.048653531819581985,
-0.07333092391490936,
-0.034595098346471786,
0.006561715621501207,
-0.06838876754045486,
-0.03960404172539711,
-0.010176502168178558,
-0.04314369708299637,
-0.022306492552161217,
0.002675610361620784,
-0.039570651948451996,
0.013615977019071579,
-0.005555752664804459,
-0.03676564246416092,
0.021338097751140594,
-0.027282042428851128,
-0.024911142885684967,
-0.03168991208076477,
0.0048378040082752705,
-0.09890992939472198,
-0.04130708426237106,
0.043444231152534485,
-0.028517581522464752,
-0.03987118601799011,
0.012038160115480423,
0.036965999752283096,
-0.026931416243314743,
0.015895046293735504,
-0.01007632352411747,
0.02322479896247387,
-0.015945134684443474,
-0.020720327273011208,
0.03756707161664963,
-0.01014310959726572,
-0.04798567295074463,
-0.003232855349779129,
0.0065408446826040745,
0.021371491253376007,
-0.044880129396915436,
-0.022440064698457718,
-0.01000953745096922,
-0.005509837530553341,
0.017113888636231422,
-0.02177220582962036,
-0.05620034039020538,
-0.011662488803267479,
0.00868216808885336,
-0.018349427729845047,
-0.022223010659217834,
-0.007463325280696154,
-0.05075728893280029,
0.0009141321061179042,
0.019067376852035522,
-0.00836076121777296,
0.00984257273375988,
0.04361119866371155,
0.0024209890980273485,
0.023909354582428932,
0.01824924908578396,
0.00037149660056456923,
0.011320210993289948,
0.01575312577188015,
-0.05272747203707695,
0.028267135843634605,
-0.01582825928926468,
0.07793915271759033,
0.03160643205046654,
-0.01931782439351082,
0.005810373928397894,
-0.010285030119121075,
0.006190218962728977,
0.00828145258128643,
0.021855687722563744,
0.014818123541772366,
0.028934994712471962,
-0.012622536160051823,
0.009575429372489452,
-0.006565889343619347,
-0.01196302566677332,
0.0032725094351917505,
-0.029936783015727997,
-0.01051877997815609,
0.053996406495571136,
-0.0061610001139342785,
-0.008319019339978695,
-0.009324982762336731,
0.04601548984646797,
-0.00033679924672469497,
-0.024627303704619408,
-0.009959448128938675,
0.01088610291481018,
-0.012931421399116516,
0.01824924908578396,
0.0427095890045166,
-0.0071878330782055855,
0.04755156487226486,
-0.012463919818401337,
-0.002502384362742305,
0.004846152383834124,
-0.01824924908578396,
-0.014617765322327614,
-0.0006626414251513779,
-0.0030512812081724405,
0.0025065585505217314,
0.027999991551041603,
-0.029252227395772934,
-0.016571253538131714,
0.010034582577645779,
0.005776980891823769,
-0.010209895670413971,
0.0025086456444114447,
0.01391651388257742,
0.020870596170425415,
0.025044715031981468,
-0.0411401204764843,
-0.014534283429384232,
0.03709957003593445,
-0.0115205692127347,
-0.0017301724292337894,
-0.017614783719182014,
0.03502921015024185,
-0.0020192302763462067,
-0.01778174750506878,
-0.036131177097558975,
-0.018165767192840576,
-0.02247345820069313,
-0.0006135955336503685,
-0.015736429020762444,
0.041574228554964066,
-0.018132373690605164,
-0.0463494211435318,
0.011245077475905418,
-0.008252233266830444,
0.058370884507894516,
0.014559327624738216,
0.032875362783670425,
0.04160762205719948,
-0.017714962363243103,
0.010535476729273796,
-0.016604647040367126,
0.04848656803369522,
-0.012255214154720306,
0.049822285771369934,
0.045815132558345795,
-0.003330947132781148,
-0.001274149864912033,
-0.0010117021156474948,
0.014116871170699596,
-0.04154083505272865,
-0.007780558429658413,
0.006499103736132383,
-0.006403098814189434,
-0.0037546202074736357,
0.003627309575676918,
-0.07146091759204865,
0.002608824521303177,
-0.053495511412620544,
0.0026359562762081623,
0.010602262802422047,
0.002360464306548238,
-0.004213773179799318,
-0.0034645190462470055,
-0.016838395968079567,
0.008389979600906372,
-0.016763262450695038,
0.052927833050489426,
-0.040505651384592056,
-0.013373877853155136,
0.004528919234871864,
0.009859269484877586,
-0.0106106111779809,
-0.007125221658498049,
-0.005756110418587923,
0.04528084397315979,
0.02708168514072895,
0.035997603088617325,
0.009274892508983612,
-0.044379234313964844,
-0.016395939514040947,
0.009107927791774273,
-0.06491590291261673,
-0.004324387293308973,
-0.030504463240504265,
0.0169218797236681,
0.012063204310834408,
0.03179009258747101,
0.000021376055883592926,
0.031255804002285004,
-0.001896093599498272,
0.06194392964243889,
-0.0033643401693552732,
-0.015594509430229664,
0.04070600867271423,
-0.016946924850344658,
-0.06658554822206497,
-0.03810136020183563,
-0.027766240760684013,
-0.05239354446530342,
-0.029018476605415344,
-0.03953725844621658,
-0.06845555454492569,
-0.0019983595702797174,
-0.019384609535336494,
-0.011303515173494816,
-0.005701846908777952,
0.02335837110877037,
0.007834821939468384,
0.004871197044849396,
0.048787105828523636,
-0.008210492320358753,
0.00500476872548461,
-0.018816929310560226,
0.0015412935754284263,
-0.03327607735991478,
-0.021939171478152275,
0.07520093023777008,
0.03746689483523369,
0.008615382015705109,
0.022590333595871925,
0.026697667315602303,
0.0315062515437603,
-0.005050684325397015,
0.025946324691176414,
0.02429337427020073,
0.011670837178826332,
-0.0021893256343901157,
0.0017656524432823062,
0.028684547170996666,
0.012146687135100365,
-0.05506497994065285,
-0.02075372077524662,
0.037533678114414215,
-0.008773998357355595,
-0.0038381025660783052,
0.03626474738121033,
0.03509599342942238,
0.00522182323038578,
0.01809898018836975,
-0.07012519985437393,
-0.008302323520183563,
0.03863564878702164,
0.0528610460460186,
-0.03249134495854378,
0.031239107251167297,
-0.012196776457130909,
-0.014659506268799305,
0.01791531965136528,
-0.04040547460317612,
0.021471669897437096,
0.005355394911020994,
0.0013117169728502631,
0.0069039929658174515,
-0.009224803186953068,
0.02759927697479725,
0.015026829205453396,
-0.02895169146358967,
-0.008101965300738811,
-0.011704230681061745,
-0.04027190059423447,
-0.026113290339708328,
0.011829453520476818,
0.05236015096306801,
-0.009750742465257645,
-0.013340485282242298,
0.01593678630888462,
0.02242336794734001,
-0.007763861678540707,
-0.009483599103987217,
0.006874774117022753,
-0.013774593360722065,
-0.03532974421977997,
0.03596420958638191,
0.031522948294878006,
0.0322909876704216,
-0.003529217792674899,
0.025161590427160263,
0.01674656569957733,
-0.004109420347958803,
0.02926892414689064,
-0.03539653122425079,
0.004370302893221378,
0.05289443954825401,
0.05366247519850731,
0.0029010127764195204,
0.036364927887916565,
-0.00902444589883089,
0.03215741366147995,
-0.02880142256617546,
0.010735834948718548,
0.016621341928839684,
-0.039069756865501404,
-0.042876552790403366,
0.017280854284763336,
0.014601068571209908,
-0.008540247566998005,
-0.01870005391538143,
-0.009441857226192951,
0.02312462031841278,
-0.04484673589468002,
-0.024744179099798203,
0.01410017441958189,
0.02489444613456726,
-0.031906966120004654,
-0.007713772356510162,
0.023425156250596046,
0.016813352704048157,
-0.04090636968612671,
0.052059613168239594,
0.003320511896163225,
0.02489444613456726,
-0.03703278675675392,
-0.035062599927186966,
0.03596420958638191,
-0.01693022809922695,
0.014968391507863998,
-0.008335716091096401,
0.029385799542069435,
0.029385799542069435,
-0.013641021214425564,
0.004324387293308973,
-0.0031305893789976835,
-0.050056036561727524,
0.008531900122761726,
0.03439474105834961,
-0.012989859096705914,
-0.02754918672144413,
-0.04491352289915085,
-0.0026067374274134636,
0.0160119216889143,
0.014342273585498333,
0.02895169146358967,
0.009416813030838966,
-0.05412997677922249,
-0.02484435774385929,
0.016704825684428215,
-0.006770421285182238,
-0.019100770354270935,
0.05095764622092247,
0.015185445547103882,
0.06528322398662567,
-0.03207393363118172,
0.009375072084367275,
0.0567680224776268,
-0.028934994712471962,
0.01828264258801937,
0.0006224655080586672,
0.08789025247097015,
-0.03062133863568306,
0.008536073379218578,
-0.012063204310834408,
0.024510428309440613,
0.001514161704108119,
0.025762664154171944,
-0.0063196164555847645,
-0.004268036689609289,
-0.03499581664800644,
-0.027482401579618454,
0.006866426207125187,
-0.013549190945923328,
0.02182229608297348,
0.016395939514040947,
0.03783421590924263,
-0.00717948516830802,
-0.04481334239244461,
0.008076921105384827,
-0.04117351025342941,
-0.026731058955192566,
0.025161590427160263,
-0.010577217675745487,
-0.01916755549609661,
0.02536194771528244,
0.0007633420755155385,
-0.022974351420998573,
0.008327367715537548,
-0.00826893001794815,
0.03923672065138817,
-0.020419791340827942,
-0.011245077475905418,
0.02150506153702736,
0.005109122022986412,
0.022273100912570953,
0.010660700500011444,
-0.03713296353816986,
0.004937983117997646,
0.04351101815700531,
-0.003539653029292822,
0.007943348959088326,
-0.0018616571323946118,
0.033392954617738724,
-0.018232552334666252,
0.033392954617738724,
-0.040605831891298294,
-0.031072143465280533,
0.006465710699558258,
0.04905425012111664,
0.03736671432852745,
-0.039103150367736816,
0.014876561239361763,
-0.03295884653925896,
0.02163863368332386,
0.05152532830834389,
-0.04187476262450218,
0.039303507655858994,
-0.0010779662989079952,
0.03666546195745468,
-0.029853301122784615,
0.007484195753931999,
-0.0401049368083477,
-0.021421579644083977,
-0.0038151449989527464,
-0.02284078113734722,
-0.009667259640991688,
0.026096593588590622,
0.017881926149129868,
-0.0019315736135467887,
0.010243288241326809,
0.030471069738268852,
0.012372089549899101,
-0.00306589063256979,
0.006332139018923044,
0.037299931049346924,
0.0030825871508568525,
0.016187233850359917,
-0.03736671432852745,
0.040138330310583115,
-0.0063363127410411835,
0.010201547294855118,
0.027398917824029922,
-0.015561116859316826,
0.023107923567295074,
0.015577812679111958,
0.009366723708808422,
0.01249731332063675,
0.010769227519631386,
-0.02713177539408207,
0.01186284702271223,
-0.06100892648100853,
0.04821942374110222,
0.021421579644083977,
-0.04040547460317612,
0.02163863368332386,
-0.0015339888632297516,
-0.014893257059156895,
0.0014025040436536074,
-0.004462133627384901,
-0.020319612696766853,
0.007050087209790945,
-0.0031243283301591873,
-0.023942748084664345,
0.04638281092047691,
0.040372081100940704,
0.03643171116709709,
0.007847344502806664,
0.00902444589883089,
-0.030504463240504265,
-0.01609540358185768,
-0.026413826271891594,
-0.018182463943958282,
0.018533090129494667,
-0.008940963074564934,
0.039904579520225525,
0.004349432419985533,
0.02885151281952858,
0.03509599342942238,
0.023976141586899757,
-0.0022895042784512043,
-0.0024209890980273485,
0.00008061267726588994,
-0.016070358455181122,
-0.036932606250047684,
-0.06555036455392838,
0.012731063179671764,
-0.01217173133045435,
0.023475246503949165,
-0.03312581032514572,
0.017664872109889984,
0.02369230054318905,
0.01658795028924942,
-0.0037191403098404408,
-0.005296957213431597,
-0.022089438512921333,
0.017514605075120926,
0.06334643065929413,
0.05412997677922249,
0.012555751018226147,
0.026647577062249184,
0.03270839899778366,
0.023708997294306755,
-0.015711383894085884,
0.018082285299897194,
0.042509231716394424,
-0.06010731682181358,
0.06551697850227356,
-0.013691111467778683,
0.007162788417190313,
0.004816933535039425,
0.04327726736664772,
-0.03207393363118172,
0.010719138197600842,
0.030170533806085587,
-0.01442575640976429,
0.012898027896881104,
-0.001321108778938651,
0.003466605907306075,
-0.02866785041987896,
0.017113888636231422,
-0.007830647751688957,
-0.04027190059423447,
-0.03172330558300018,
0.013782941736280918,
-0.0027903986629098654,
-0.01035181526094675,
-0.02759927697479725,
0.050323180854320526,
0.03289205953478813,
-0.036932606250047684,
-0.007705423980951309,
0.03284196928143501,
-0.04103993996977806,
0.003888192120939493,
-0.026597486808896065,
0.00387984374538064,
0.02410971187055111,
-0.016078706830739975,
0.0226571187376976,
-0.06919019669294357,
-0.01524388324469328,
-0.052193187177181244,
0.011812757700681686,
-0.031906966120004654,
-0.01684674434363842,
-0.0024397727102041245,
0.002050535986199975,
0.008156228810548782,
-0.03456170856952667,
-0.012822894379496574,
0.03426117077469826,
0.0028050080873072147,
-0.021838990971446037,
0.04184136912226677,
-0.014016692526638508,
0.01480142679065466,
-0.05095764622092247,
-0.007025042548775673,
-0.015711383894085884,
-0.024276677519083023,
0.054564084857702255,
-0.006561715621501207,
-0.0021914124954491854,
0.00007865605584811419,
-0.0020474055781960487,
0.008715560659766197,
-0.0554656945168972,
0.017147282138466835,
-0.007116873282939196,
-0.05202622339129448,
0.0033956458792090416,
0.020119255408644676,
0.0361979603767395,
0.027115078642964363,
0.016571253538131714,
-0.027799634262919426,
0.0021340183448046446,
0.005363743286579847,
-0.030537856742739677,
0.03210732340812683,
-0.017113888636231422,
-0.0028237916994839907,
-0.03496242314577103,
-0.012714367359876633,
0.03235777094960213,
0.03028740920126438,
0.03407751023769379,
0.04811924695968628,
0.0027903986629098654,
-0.03509599342942238,
0.018716750666499138,
0.024093016982078552,
-0.0434776246547699,
-0.033392954617738724,
-0.012530705891549587,
-0.022824084386229515,
-0.03796778991818428,
-0.04658317193388939,
0.0014598981942981482,
-0.002356290351599455,
-0.0179654099047184,
-0.0213547945022583,
-0.049955859780311584,
0.03643171116709709,
-0.03382706269621849
] |
Radio Frequency Fingerprinting through Deep Learning (RFFDL) is a data-driven
IoT authentication technique that leverages the unique hardware-level
manufacturing imperfections associated with a particular device to recognize
(fingerprint) the device based on variations introduced in the transmitted
waveform. The proposed SignCRF is a scalable, channel-agnostic, data-driven
radio authentication platform with unmatched precision in fingerprinting
wireless devices based on their unique manufacturing impairments and
independent of the dynamic channel irregularities caused by mobility. SignCRF
consists of (i) a baseline classifier finely trained to authenticate devices
with high accuracy and at scale; (ii) an environment translator carefully
designed and trained to remove the dynamic channel impact from RF signals while
maintaining the radio's specific signature; (iii) a Max-Rule module that
selects the highest precision authentication technique between the baseline
classifier and the environment translator per radio. We design, train, and
validate the performance of SignCRF for multiple technologies in dynamic
environments and at scale (100 LoRa and 20 WiFi devices). We demonstrate that
SignCRF significantly improves the RFFDL performance by achieving as high as 5x
and 8x improvement in correct authentication of WiFi and LoRa devices when
compared to the state-of-the-art, respectively. | [
-0.04280306026339531,
-0.030660061165690422,
-0.036671046167612076,
-0.021421700716018677,
0.01968698762357235,
0.010519225150346756,
0.021098963916301727,
0.038325078785419464,
-0.01899108476936817,
0.027352003380656242,
-0.03620711341500282,
-0.006379108410328627,
0.016318414360284805,
-0.04998397082090378,
0.0022465556394308805,
-0.0023234577383846045,
0.008678613230586052,
-0.04425537958741188,
0.0024608734529465437,
-0.0647895485162735,
0.04005979001522064,
-0.017841331660747528,
0.011356325820088387,
-0.031144168227910995,
-0.021845294162631035,
0.03630796819925308,
0.01988869719207287,
-0.014613957144320011,
-0.0869777575135231,
0.0013123818207532167,
0.07915136963129044,
0.03638865426182747,
-0.04780549183487892,
-0.025193694978952408,
-0.042520664632320404,
-0.05599495396018028,
0.04060441255569458,
0.057245563715696335,
-0.01155803631991148,
0.020816568285226822,
0.029026202857494354,
-0.0335041843354702,
-0.01260693371295929,
0.051597658544778824,
-0.0008396217599511147,
-0.023640520870685577,
-0.06031157076358795,
-0.010993245989084244,
-0.04014047607779503,
-0.036227282136678696,
-0.03152741864323616,
-0.04659522697329521,
-0.03870832920074463,
-0.022430256009101868,
0.04183484613895416,
0.05091184005141258,
0.07511714845895767,
0.027694910764694214,
0.011921116150915623,
0.003925798926502466,
0.006903556641191244,
0.029590994119644165,
-0.032233405858278275,
-0.02567780204117298,
0.006948941852897406,
0.03162827342748642,
0.004356956109404564,
-0.019606303423643112,
0.03185015544295311,
-0.020382890477776527,
-0.055793244391679764,
0.001140297157689929,
0.033120933920145035,
-0.026262763887643814,
-0.009182889945805073,
0.021865464746952057,
-0.011618549935519695,
0.05450229346752167,
0.05631769448518753,
-0.017458081245422363,
0.02733183093369007,
0.04104817658662796,
0.00983340758830309,
0.028057990595698357,
0.05264655500650406,
0.017730390653014183,
-0.010110761038959026,
-0.0791110247373581,
0.030397837981581688,
0.0042762719094753265,
-0.019202880561351776,
0.05200107768177986,
0.011800089851021767,
0.01726645603775978,
-0.028239531442523003,
-0.009238360449671745,
-0.022954704239964485,
-0.048612333834171295,
-0.06551571190357208,
0.01919279620051384,
-0.043206483125686646,
0.03316127881407738,
-0.029893560335040092,
0.031265195459127426,
0.004883925896137953,
-0.05478468909859657,
-0.03249563276767731,
0.0511135496199131,
-0.00545123778283596,
0.12175271660089493,
0.01350454706698656,
-0.03897055238485336,
-0.010801620781421661,
0.05688248202204704,
-0.023741377517580986,
-0.003169383155182004,
-0.0476037822663784,
-0.07870760560035706,
-0.029913730919361115,
-0.005980729125440121,
0.017236199229955673,
0.04036235809326172,
0.016126789152622223,
0.020140836015343666,
-0.057810354977846146,
0.0705181434750557,
0.04768446460366249,
-0.029570823535323143,
0.022168030962347984,
0.014008824713528156,
-0.0352187305688858,
-0.013837370090186596,
0.05434092506766319,
-0.021078793331980705,
0.05405852943658829,
0.006273210048675537,
0.027473028749227524,
0.01571328192949295,
-0.011870688758790493,
-0.033362988382577896,
0.026686357334256172,
0.02023160643875599,
-0.020483745262026787,
0.02832021564245224,
-0.006167311687022448,
0.026625843718647957,
-0.00017255739658139646,
0.03826456516981125,
-0.03735686466097832,
-0.011800089851021767,
-0.07963547855615616,
0.011588293127715588,
0.021764609962701797,
0.045627012848854065,
0.036348309367895126,
-0.0028769022319465876,
0.010831877589225769,
-0.03796199709177017,
0.04135074093937874,
-0.0476037822663784,
0.026061052456498146,
-0.05034704878926277,
0.02696875110268593,
0.015309859998524189,
-0.02358000911772251,
0.05373579263687134,
0.027674740180373192,
-0.012142998166382313,
-0.0466759093105793,
0.04869301989674568,
0.01031247153878212,
-0.019081855192780495,
0.03029698319733143,
-0.0306398905813694,
-0.004346870817244053,
-0.005657991860061884,
0.025818999856710434,
-0.04304511472582817,
0.01731688342988491,
-0.014896352775394917,
0.008986222557723522,
0.04865267872810364,
-0.01876920275390148,
0.002473480300977826,
0.04893507435917854,
0.045183248817920685,
0.07556091248989105,
-0.013222151435911655,
-0.00699432659894228,
-0.05893993377685547,
-0.008300404995679855,
0.02013075165450573,
0.014008824713528156,
0.00398379098623991,
0.020715713500976562,
-0.028400899842381477,
-0.02089725248515606,
-0.008794596418738365,
0.022914361208677292,
0.03513804450631142,
-0.06293381005525589,
-0.0004368302470538765,
0.032677169889211655,
-0.03076091781258583,
0.03790148347616196,
-0.02013075165450573,
0.04679693654179573,
-0.0008465555729344487,
-0.010050247423350811,
0.023519495502114296,
-0.045304276049137115,
0.008824853226542473,
-0.031265195459127426,
0.0379418283700943,
0.05478468909859657,
-0.020877081900835037,
0.02089725248515606,
-0.060351911932229996,
-0.03187032788991928,
0.05119423568248749,
0.02963133715093136,
0.028723636642098427,
0.03120468184351921,
0.0069136423990130424,
-0.012647275812923908,
0.0059454296715557575,
-0.02785627916455269,
0.032374605536460876,
-0.043771274387836456,
-0.005098243709653616,
0.022833677008748055,
-0.025637459009885788,
-0.028138674795627594,
0.021058620885014534,
0.03227375075221062,
0.02575848624110222,
0.0085374154150486,
-0.05974677950143814,
0.0009896443225443363,
0.02091742306947708,
-0.044739484786987305,
0.016419269144535065,
-0.04558667168021202,
-0.05099252238869667,
-0.013302836567163467,
0.013837370090186596,
-0.04312579706311226,
0.03598523139953613,
0.0015985592035576701,
0.03531958535313606,
-0.05853651463985443,
-0.01625790074467659,
0.02134101651608944,
0.021441873162984848,
-0.0971439853310585,
0.0016830256208777428,
0.0008793335873633623,
-0.047402068972587585,
0.018567491322755814,
-0.06329689174890518,
0.02543574944138527,
0.010751192457973957,
-0.023600179702043533,
-0.05543016642332077,
-0.019404591992497444,
-0.008451688103377819,
0.024185141548514366,
-0.03753840550780296,
0.05752795934677124,
-0.022047005593776703,
0.02245042659342289,
-0.017841331660747528,
-0.03840576112270355,
-0.02446753717958927,
-0.0011377757182344794,
-0.030700404196977615,
0.013121296651661396,
-0.004866276402026415,
-0.012455650605261326,
0.03231409192085266,
-0.008527330122888088,
0.045869067311286926,
0.014997207559645176,
-0.028844663873314857,
0.0035879332572221756,
-0.01988869719207287,
-0.07334209233522415,
-0.0018923006718978286,
-0.02918757125735283,
0.010993245989084244,
-0.04720035940408707,
-0.007710400503128767,
-0.04401332512497902,
0.038425933569669724,
0.02511301077902317,
-0.032354433089494705,
-0.005758847109973431,
-0.05676145851612091,
0.008749212138354778,
-0.024306166917085648,
-0.014331561513245106,
-0.006878342945128679,
-0.02454822137951851,
-0.00435443501919508,
0.018557405099272728,
0.013686086982488632,
0.003794686868786812,
0.03455308452248573,
-0.02765456959605217,
0.005930301267653704,
0.027634397149086,
-0.02874380722641945,
-0.02553660422563553,
-0.022954704239964485,
-0.016570553183555603,
0.03979756683111191,
-0.019455019384622574,
-0.00991913489997387,
0.03560198098421097,
-0.08165258914232254,
-0.00870887003839016,
0.003149211872369051,
-0.08609022945165634,
0.055147770792245865,
0.049056097865104675,
-0.024971812963485718,
0.04703899100422859,
0.0007078793132677674,
-0.0207963977009058,
0.021986491978168488,
0.029167400673031807,
0.014926609583199024,
-0.0539778470993042,
-0.0084113460034132,
0.01167906355112791,
0.03205186873674393,
-0.047402068972587585,
0.06866240501403809,
0.056842140853405,
0.011648806743323803,
-0.022531110793352127,
-0.021643582731485367,
-0.05079081282019615,
-0.05421989783644676,
-0.009601440280675888,
-0.03927312046289444,
-0.019081855192780495,
0.014795497059822083,
-0.0170748308300972,
-0.001104367314837873,
0.0011882034596055746,
-0.023741377517580986,
0.0033206662628799677,
0.014412246644496918,
0.030175955966114998,
-0.0052646552212536335,
-0.03771994635462761,
-0.07067950814962387,
-0.005491580348461866,
-0.013786942698061466,
-0.02069554105401039,
-0.02410445734858513,
-0.011043673381209373,
0.0230152178555727,
-0.005728590302169323,
-0.024528048932552338,
-0.03824439272284508,
-0.012092570774257183,
-0.022188203409314156,
0.10852048546075821,
0.011174785904586315,
0.034230343997478485,
-0.022833677008748055,
-0.0015493921237066388,
-0.0349363349378109,
0.02567780204117298,
0.020261863246560097,
-0.0038879781495779753,
0.016167132183909416,
0.0366508774459362,
0.015249346382915974,
0.004215758293867111,
-0.005602521356195211,
0.02487095817923546,
0.03856712952256203,
0.008935794234275818,
0.005446195136755705,
-0.0037593876477330923,
-0.03862764313817024,
0.03818387910723686,
-0.014361818321049213,
-0.016610896214842796,
-0.0306398905813694,
-0.022369742393493652,
0.07104258984327316,
-0.057447273284196854,
-0.01155803631991148,
0.016641151160001755,
0.01936424896121025,
-0.022732822224497795,
-0.037215668708086014,
0.03878901153802872,
-0.021542727947235107,
-0.02809833362698555,
-0.00801800936460495,
0.01862800493836403,
0.008688698522746563,
-0.04514290764927864,
-0.018587661907076836,
0.023943087086081505,
0.06394236534833908,
-0.014089508913457394,
0.013222151435911655,
0.03205186873674393,
-0.01067050825804472,
0.012869157828390598,
-0.0761660486459732,
0.01907176896929741,
-0.001007293933071196,
-0.02335812710225582,
-0.02908671647310257,
0.011870688758790493,
0.07342278212308884,
-0.009268617257475853,
0.011084015481173992,
0.07265628129243851,
0.012354794889688492,
0.007851597853004932,
0.05062944442033768,
-0.04425537958741188,
-0.04812822863459587,
-0.010942818596959114,
0.04925781115889549,
-0.032132551074028015,
-0.00431157136335969,
0.020776227116584778,
0.005905087571591139,
0.04211724177002907,
-0.022853849455714226,
0.011739576235413551,
0.021421700716018677,
0.0007488518604077399,
-0.04792651906609535,
-0.04082629457116127,
-0.05655974522233009,
-0.011961458250880241,
0.015683025121688843,
-0.02676704153418541,
-0.007599459495395422,
0.00884502474218607,
-0.03431103006005287,
0.03763926029205322,
-0.09504619240760803,
0.0016678973333910108,
0.05192039534449577,
-0.020211435854434967,
-0.003194596851244569,
-0.036106258630752563,
0.0014170192880555987,
-0.030337324365973473,
-0.005733633413910866,
0.05538982152938843,
0.012354794889688492,
-0.018396036699414253,
0.03697361424565315,
0.02335812710225582,
-0.05664043128490448,
-0.03604574501514435,
0.01084196288138628,
-0.0016641152324154973,
0.01359531655907631,
-0.030801258981227875,
0.029490139335393906,
-0.0009581269114278257,
-0.03132570907473564,
-0.0314265638589859,
-0.02245042659342289,
-0.012072399258613586,
0.012738045305013657,
-0.03483548015356064,
0.022107519209384918,
0.027735253795981407,
0.00622278219088912,
-0.02434650994837284,
0.07947410643100739,
-0.046312831342220306,
0.039757225662469864,
-0.010781449265778065,
-0.018486807122826576,
-0.01045871153473854,
0.028118504211306572,
0.006096712779253721,
-0.05494605749845505,
-0.04356956109404564,
-0.01660080999135971,
-0.06632255762815475,
0.014523187652230263,
-0.0577700100839138,
0.09617577493190765,
-0.0063538942486047745,
0.010468797758221626,
0.012011886574327946,
0.08024060726165771,
0.010070418007671833,
-0.05123457685112953,
0.004720035940408707,
0.044537775218486786,
0.016399098560214043,
-0.02511301077902317,
0.04578838124871254,
0.057689327746629715,
0.03761908784508705,
-0.03199135512113571,
-0.038768842816352844,
0.026847725734114647,
0.009167761541903019,
-0.024931471794843674,
-0.04235929623246193,
-0.009132462553679943,
0.023600179702043533,
0.02600053884088993,
0.03197118267416954,
-0.004230886697769165,
0.03870832920074463,
-0.02015092223882675,
0.006187482737004757,
0.015128320083022118,
-0.026484645903110504,
0.031023140996694565,
-0.04534461721777916,
0.020998109132051468,
0.01810355670750141,
-0.02644430287182331,
-0.0561966672539711,
-0.03283853828907013,
0.010272129438817501,
0.0011365150567144156,
0.025818999856710434,
-0.021421700716018677,
-0.03398829326033592,
-0.01801278628408909,
-0.004298964515328407,
-0.022853849455714226,
-0.0035425482783466578,
0.011255470104515553,
0.011477352119982243,
-0.0037089597899466753,
-0.045627012848854065,
0.03616677224636078,
0.009500584565103054,
0.013141467235982418,
-0.013978567905724049,
-0.013312921859323978,
0.017508508637547493,
0.004722557030618191,
-0.010478883050382137,
0.04546564444899559,
0.0031441692262887955,
-0.02876397967338562,
-0.017720306292176247,
-0.008093651384115219,
0.006227825302630663,
0.0037820800207555294,
-0.03806285187602043,
0.04832993820309639,
-0.011800089851021767,
0.029006032273173332,
0.023277441039681435,
-0.016338584944605827,
-0.009369472973048687,
-0.0032626744359731674,
-0.02069554105401039,
-0.05567221716046333,
-0.06474921107292175,
0.0024117063730955124,
-0.022974874824285507,
0.03749806433916092,
-0.027896622195839882,
0.028138674795627594,
0.0590609610080719,
0.00632868055254221,
-0.023398468270897865,
-0.004578838124871254,
0.006631246767938137,
0.02932876907289028,
-0.0029500224627554417,
0.024265825748443604,
-0.041088517755270004,
0.01736731082201004,
-0.0009455200051888824,
-0.0393739752471447,
0.016267986968159676,
-0.04764412343502045,
0.012354794889688492,
-0.012455650605261326,
-0.013040611520409584,
-0.00021683925297111273,
0.046756595373153687,
0.013655830174684525,
-0.06660494953393936,
0.012869157828390598,
0.03475479409098625,
0.039212606847286224,
0.059988830238580704,
0.025476090610027313,
0.0008717694436199963,
0.01393822580575943,
-0.029671678319573402,
0.002748311497271061,
0.015027464367449284,
0.020776227116584778,
0.026464475318789482,
0.05518811196088791,
-0.03404880687594414,
0.005178928375244141,
0.04611111804842949,
0.032717514783144,
-0.043771274387836456,
0.032919224351644516,
0.002370103495195508,
0.055026743561029434,
-0.04643385857343674,
0.047523096203804016,
0.025637459009885788,
0.028279872611165047,
-0.004929311107844114,
-0.014634128659963608,
-0.0197575856000185,
0.03029698319733143,
-0.011013416573405266,
-0.02787645161151886,
-0.0007652408676221967,
-0.011295812204480171,
-0.014997207559645176,
-0.05099252238869667,
0.021300675347447395,
-0.00893075205385685,
-0.0222285445779562,
-0.0197575856000185,
-0.005345339886844158,
0.021603241562843323,
0.030115442350506783,
-0.015592255629599094,
0.040443044155836105,
-0.010055290535092354,
0.0020334983710199594,
-0.014180278405547142,
0.017205942422151566,
0.029570823535323143,
0.05676145851612091,
0.055349480360746384,
-0.016812605783343315,
-0.0034795135725289583,
0.0177909042686224,
0.0029903645627200603,
0.011759747751057148,
0.06579810380935669,
0.0036333182360976934,
-0.01864817552268505,
-0.003118955297395587,
0.024366680532693863,
0.034008461982011795,
0.0037467805668711662,
0.03691310063004494,
-0.02335812710225582,
0.008436559699475765,
0.015370373614132404,
-0.025274379178881645,
-0.001473750569857657,
-0.0016464655054733157,
-0.020836738869547844,
-0.05482503026723862,
-0.03293939679861069,
-0.009893921203911304,
0.025072669610381126,
-0.021744439378380775,
0.016812605783343315,
-0.03354452922940254,
0.006126969587057829,
-0.013786942698061466,
-0.033342815935611725,
-0.001637640642002225,
0.002897073281928897,
-0.005105807911604643,
-0.0039459699764847755,
-0.028461413457989693,
-0.0029298514127731323,
0.0041754161939024925,
-0.052807923406362534,
0.03009527176618576,
-0.06236902251839638,
0.0320720374584198,
0.038869697600603104,
0.0170748308300972,
0.008678613230586052,
0.004707429092377424,
-0.03211238235235214,
-0.022107519209384918,
0.02491130121052265,
0.03640882298350334,
-0.007190994918346405,
0.0415927954018116,
-0.014886266551911831,
-0.021441873162984848,
0.0018153984565287828,
0.019031425938010216,
0.0185069777071476,
-0.044174693524837494,
-0.013807113282382488,
-0.01128572691231966,
0.016661323606967926,
-0.0005524988519027829,
0.029288427904248238,
0.027815937995910645,
0.037114810198545456,
-0.01416010782122612,
0.013615488074719906,
0.006005943287163973,
0.0017309319227933884,
0.02390274591743946,
-0.007211165968328714,
0.03993876650929451,
0.002607113914564252,
-0.030720574781298637,
0.0349363349378109,
0.011104186996817589,
-0.01665123738348484,
-0.0025365150067955256,
-0.02368086390197277,
0.008870238438248634,
0.04356956109404564,
-0.02311607263982296,
-0.03461359813809395,
-0.010640251450240612,
0.005587392952293158,
0.004230886697769165,
0.001666636555455625,
0.043206483125686646,
0.004145159851759672,
0.014311390928924084,
0.0365096777677536,
-0.014523187652230263,
0.020362718030810356,
-0.0021431786008179188,
-0.03691310063004494,
-0.013191895559430122,
-0.003961098380386829,
0.05672111362218857,
-0.04235929623246193,
-0.038103196769952774,
-0.01771022006869316,
-0.07414893805980682,
0.044618457555770874,
-0.04812822863459587,
-0.001874650944955647,
-0.015945250168442726,
0.03384709358215332,
-0.03316127881407738,
-0.019212966784834862,
0.01640918478369713,
-0.007735614199191332,
0.024185141548514366,
0.015249346382915974,
-0.008123908191919327,
0.07011472433805466,
-0.006928770802915096,
-0.08536406606435776,
-0.022813506424427032,
0.02819918841123581,
-0.03483548015356064,
0.06587879359722137,
0.0064043221063911915,
0.041754163801670074,
-0.07894966006278992,
-0.026040881872177124,
-0.001727149821817875,
0.013847455382347107,
-0.016913462430238724,
0.019596217200160027,
-0.04034218564629555,
-0.045748040080070496,
0.04260135069489479,
-0.023620350286364555,
0.02366069331765175,
-0.019273480400443077,
0.003524898551404476,
0.02708977833390236,
-0.0028769022319465876,
-0.0062429532408714294,
-0.00019351643277332187,
0.021764609962701797,
0.000999729847535491,
-0.000688968924805522,
-0.040543898940086365,
0.038667984306812286,
-0.01774047687649727,
-0.0020990543998777866,
0.05010499432682991,
-0.04687762260437012,
-0.043972983956336975,
0.041552454233169556,
0.004112381488084793,
-0.018738945946097374,
0.019868526607751846,
-0.00898117944598198,
0.03308059275150299,
0.004488068167120218,
-0.008794596418738365,
-0.047966860234737396,
-0.007054839748889208,
0.042197927832603455,
0.034250516444444656,
0.028562268242239952,
0.007165780756622553,
-0.010821791365742683,
-0.03584403172135353,
0.001370373647660017,
-0.009354344569146633,
0.01907176896929741,
-0.03969671204686165,
-0.018174154683947563,
-0.0524045005440712,
-0.0046847364865243435,
0.03231409192085266,
-0.016731921583414078,
-0.01416010782122612,
0.013312921859323978,
-0.006384151056408882,
0.0010394416749477386,
-0.001444754539988935,
0.008007924072444439,
-0.010549481958150864,
-0.001533003058284521,
-0.00943502876907587,
-0.03840576112270355,
-0.01106384489685297,
0.021704096347093582,
0.03338316082954407,
0.036106258630752563,
0.03640882298350334,
-0.011739576235413551,
-0.01939450576901436,
-0.025355065241456032,
-0.031910669058561325,
-0.04566735401749611,
-0.004160287790000439,
-0.030377667397260666,
0.027634397149086,
0.0269889235496521,
-0.02345898188650608,
0.01665123738348484,
0.020756054669618607,
0.03554146736860275,
0.003845114726573229,
-0.016237730160355568,
0.011154614388942719,
0.011225213296711445,
-0.022591624408960342,
-0.008567672222852707,
-0.05361476540565491,
0.016439441591501236,
0.021764609962701797,
-0.02844124101102352,
0.01746816746890545,
-0.03673155978322029,
-0.015289688482880592,
-0.023196756839752197,
-0.03939414396882057,
-0.01677226461470127,
-0.014271048828959465,
0.009112291038036346,
-0.045425303280353546,
-0.022147860378026962,
0.03820405155420303,
0.041633136570453644,
0.009223232045769691,
-0.012990184128284454,
-0.0036282753571867943,
0.01167906355112791,
0.01907176896929741,
0.009747681207954884,
0.06801692396402359,
0.018738945946097374,
-0.01615704596042633,
0.04028167203068733,
-0.02632327750325203,
0.0068127866834402084,
-0.004596488084644079,
-0.0077053578570485115,
-0.060674648731946945,
-0.012707788497209549,
0.07136532664299011,
0.02015092223882675,
-0.019596217200160027,
0.02864295244216919,
0.04195587337017059,
-0.039111748337745667,
-0.008305448107421398,
-0.032011523842811584,
0.026585500687360764,
-0.025576947256922722,
-0.02953048050403595,
0.00996452011168003,
-0.03483548015356064,
0.026403961703181267,
0.015410715714097023,
0.012869157828390598,
0.0021683925297111273,
0.01311121042817831,
-0.04655488207936287,
-0.023418638855218887,
-0.034028634428977966,
0.002370103495195508,
-0.00489149009808898,
0.022430256009101868,
0.02600053884088993,
-0.024709589779376984,
0.002844124101102352,
0.03820405155420303,
-0.02067537046968937,
0.05454263836145401,
0.03239477425813675,
-0.04804754629731178,
-0.008784511126577854,
-0.02487095817923546,
-0.021421700716018677,
0.023035388439893723,
-0.01062008086591959,
-0.03497667610645294,
0.045748040080070496,
0.01481566857546568,
0.009399729780852795,
0.03074074722826481,
0.005183971021324396,
0.009414858184754848,
0.03481530770659447,
-0.02567780204117298,
0.0045737954787909985,
-0.020544258877635002,
-0.005037730559706688,
-0.0392327755689621,
0.009641782380640507,
-0.02146204374730587,
-0.05486537516117096,
0.024386851117014885,
-0.021381359547376633,
0.03820405155420303,
-0.014150021597743034,
-0.006091670133173466,
0.04941917955875397,
-0.02124016173183918,
-0.03538009896874428,
0.0023171543143689632,
-0.0032399818301200867,
-0.008320575580000877,
-0.05696316808462143,
-0.004356956109404564,
-0.046312831342220306,
-0.00586474547162652,
0.02678721211850643,
0.010030075907707214,
0.01377685647457838,
-0.014533272944390774,
0.001947771175764501,
-0.018809543922543526,
0.057689327746629715,
-0.027130121365189552,
-0.0438116155564785,
-0.03463376685976982,
-0.0025150831788778305,
-0.034472398459911346,
-0.0023499324452131987,
0.008320575580000877,
0.028340386226773262,
0.018264925107359886,
-0.02622242085635662,
0.000058937413996318355,
-0.042964428663253784,
-0.005274740979075432,
0.014835839159786701,
-0.011628635227680206,
0.018638091161847115,
0.01112435758113861,
0.010791534557938576,
0.022712651640176773,
-0.02190580777823925,
0.009364429861307144,
-0.01216316968202591,
-0.043327510356903076,
0.014926609583199024,
-0.020100494846701622,
-0.01699414663016796,
-0.023539666086435318,
-0.03505736216902733,
-0.020776227116584778,
-0.04304511472582817,
-0.01172949094325304,
-0.04256100580096245,
-0.04502188041806221,
0.010367942042648792,
-0.03138622269034386,
-0.006722016725689173,
-0.004462854471057653,
0.022611794993281364,
-0.010791534557938576,
0.011084015481173992,
0.014674470759928226,
-0.014170193113386631,
-0.007559117395430803,
0.002854209626093507,
0.0005506078014150262,
-0.010761278681457043,
0.006989283952862024,
-0.004687258042395115,
-0.013857541605830193,
-0.041754163801670074,
-0.012264024466276169,
0.0014334083534777164,
-0.012062313966453075,
0.03249563276767731,
0.022652138024568558,
0.01899108476936817,
-0.017750563099980354,
0.00929887406527996
] |
Quantum process learning is emerging as an important tool to study quantum
systems. While studied extensively in coherent frameworks, where the target and
model system can share quantum information, less attention has been paid to
whether the dynamics of quantum systems can be learned without the system and
target directly interacting. Such incoherent frameworks are practically
appealing since they open up methods of transpiling quantum processes between
the different physical platforms without the need for technically challenging
hybrid entanglement schemes. Here we provide bounds on the sample complexity of
learning unitary processes incoherently by analyzing the number of measurements
that are required to emulate well-established coherent learning strategies. We
prove that if arbitrary measurements are allowed, then any efficiently
representable unitary can be efficiently learned within the incoherent
framework; however, when restricted to shallow-depth measurements only
low-entangling unitaries can be learned. We demonstrate our incoherent learning
algorithm for low entangling unitaries by successfully learning a 16-qubit
unitary on \texttt{ibmq\_kolkata}, and further demonstrate the scalabilty of
our proposed algorithm through extensive numerical experiments. | [
0.0006800045375712216,
-0.0015588408568874002,
-0.036812275648117065,
0.0016554162139073014,
0.0136796236038208,
0.025832219049334526,
0.011898091062903404,
0.041484251618385315,
-0.04013901576399803,
0.03528524935245514,
0.000285039481241256,
0.009925680235028267,
0.037484895437955856,
-0.03374003991484642,
0.02672298438847065,
0.048246804624795914,
0.005294605158269405,
0.014043201692402363,
-0.02034219168126583,
0.021851040422916412,
0.012552531436085701,
-0.0579543374478817,
-0.09198524057865143,
-0.033176496624946594,
-0.005935411434620619,
0.032303906977176666,
0.008371383883059025,
-0.01983318105340004,
-0.05991765856742859,
0.01983318105340004,
-0.007762391120195389,
0.05875420942902565,
-0.034467197954654694,
-0.022414585575461388,
-0.0034812595695257187,
-0.025159599259495735,
0.0016201946418732405,
-0.05137357488274574,
-0.02250548079609871,
-0.021069345995783806,
0.005262792110443115,
0.00745334941893816,
-0.0035948778968304396,
-0.01564294472336769,
0.012788857333362103,
-0.0425022728741169,
-0.027195636183023453,
-0.05286424607038498,
-0.026922952383756638,
-0.025359567254781723,
0.016151953488588333,
-0.036266908049583435,
0.04468373954296112,
-0.015215740539133549,
-0.012543441727757454,
-0.002656392054632306,
0.022487301379442215,
0.014915788546204567,
0.045120034366846085,
-0.042065978050231934,
0.012552531436085701,
-0.002106480300426483,
-0.04941025376319885,
-0.033558253198862076,
0.001124251401051879,
-0.014515852555632591,
0.04690156504511833,
-0.020869379863142967,
0.06428059935569763,
-0.00494920602068305,
-0.05926321819424629,
-0.03773939982056618,
-0.001930372091010213,
0.014488584361970425,
-0.012243489734828472,
0.058063410222530365,
0.023541677743196487,
0.02665027044713497,
-0.006385338958352804,
0.044029299169778824,
0.018560659140348434,
0.03644869849085808,
0.01709725707769394,
-0.022941773757338524,
0.0663166344165802,
-0.0531187504529953,
-0.033176496624946594,
-0.05420948565006256,
0.03813933581113815,
0.0014497673837468028,
0.010361974127590656,
0.040866170078516006,
-0.012643425725400448,
-0.010552852414548397,
-0.012388921342790127,
-0.000656144751701504,
-0.019651392474770546,
-0.020451264455914497,
-0.01487034186720848,
-0.022232796996831894,
0.03132224828004837,
0.011016414500772953,
0.035521574318408966,
-0.004487916361540556,
0.03663048520684242,
-0.046501629054546356,
-0.05875420942902565,
0.042865850031375885,
0.04042987525463104,
0.14128641784191132,
-0.018587926402688026,
0.031922150403261185,
-0.02572314627468586,
0.026904774829745293,
-0.02794097177684307,
0.01426134817302227,
-0.05933593586087227,
-0.06300806999206543,
-0.009871143847703934,
-0.030885953456163406,
0.02897716872394085,
0.10005667060613632,
0.03290381282567978,
-0.023487141355872154,
-0.046465273946523666,
0.07129765301942825,
-0.000461005576653406,
0.014679462648928165,
-0.023487141355872154,
0.020142223685979843,
-0.01426134817302227,
0.00795326940715313,
-0.03019515611231327,
-0.06748007982969284,
-0.013043361715972424,
-0.02935892529785633,
0.05028284341096878,
0.049592044204473495,
0.006139923818409443,
-0.03999358415603638,
0.035594288259744644,
-0.009325776249170303,
-0.0001924407115438953,
-0.019869539886713028,
0.016397370025515556,
0.0463561974465847,
-0.07267925143241882,
0.04871945455670357,
-0.018760627135634422,
0.033758219331502914,
-0.01570657081902027,
0.056390952318906784,
0.02768646739423275,
0.007339731324464083,
0.035085279494524,
-0.001124251401051879,
-0.013188793323934078,
-0.00996203813701868,
0.034103620797395706,
-0.038393840193748474,
0.023905254900455475,
0.008266855031251907,
0.005662727635353804,
0.05457306280732155,
0.021832861006259918,
0.00025848124641925097,
0.012852483429014683,
0.000747607322409749,
-0.008871303871273994,
0.04955568537116051,
0.023159921169281006,
0.07071592658758163,
-0.012588889338076115,
0.006767095997929573,
-0.001646326738409698,
0.012634336948394775,
0.04275677725672722,
-0.008862214162945747,
-0.06635299324989319,
-0.054064054042100906,
-0.013388761319220066,
0.026922952383756638,
0.022487301379442215,
0.04610169306397438,
0.05290060490369797,
0.017206329852342606,
0.035303425043821335,
0.03941185772418976,
0.0002050807379418984,
0.027504678815603256,
0.007776025217026472,
0.008157782256603241,
0.03292199224233627,
0.012434368953108788,
0.04079345613718033,
-0.043702080845832825,
-0.0014929423341527581,
0.062280915677547455,
-0.008012350648641586,
0.027195636183023453,
-0.024032507091760635,
-0.028340907767415047,
-0.021687429398298264,
-0.016924558207392693,
0.019160563126206398,
-0.02421429753303528,
0.03328556939959526,
-0.0537731908261776,
0.045701757073402405,
-0.03721221163868904,
-0.0036176014691591263,
-0.03006790392100811,
0.0017247232608497143,
-0.0079669039696455,
-0.01802438125014305,
-0.04330214485526085,
-0.03657595068216324,
-0.0360487625002861,
-0.057190824300050735,
-0.06315350532531738,
-0.025486819446086884,
-0.03886649012565613,
0.09743890911340714,
-0.04711971431970596,
-0.045956261456012726,
0.01812436431646347,
-0.017815323546528816,
-0.024196118116378784,
0.02096027322113514,
-0.006049029529094696,
0.030958669260144234,
0.039520930498838425,
0.03364914655685425,
0.02363257110118866,
-0.03437630459666252,
0.00564909353852272,
0.011216382496058941,
0.008862214162945747,
-0.003224482759833336,
-0.03423087298870087,
0.012025343254208565,
0.00024740348453633487,
-0.0035471580922603607,
-0.00485376687720418,
0.004749238025397062,
-0.02308720536530018,
-0.004437924362719059,
0.0669710710644722,
0.038902848958969116,
0.016242848709225655,
-0.017969844862818718,
0.008289579302072525,
-0.01799711212515831,
0.031340427696704865,
-0.05253702402114868,
0.01048013661056757,
-0.01647917367517948,
-0.03686681389808655,
0.023196278139948845,
-0.07656953483819962,
0.0569726787507534,
0.031467679888010025,
-0.0092576052993536,
0.02388707734644413,
0.002424611011520028,
-0.01921509951353073,
0.06260813772678375,
-0.024814201518893242,
0.03630326688289642,
0.04941025376319885,
0.02534138783812523,
0.01912420429289341,
-0.042611345648765564,
0.018242526799440384,
0.03299470618367195,
-0.07511521875858307,
-0.014724910259246826,
-0.010998235084116459,
-0.010680104605853558,
0.0014940784312784672,
-0.019269635900855064,
0.008053253404796124,
0.01632465422153473,
-0.005444581154733896,
0.012125327251851559,
-0.04290220886468887,
-0.04781050980091095,
-0.005808159243315458,
-0.05286424607038498,
-0.006553493905812502,
0.013897770084440708,
-0.03210394084453583,
-0.042320482432842255,
0.02263273298740387,
-0.01735176146030426,
0.0441020168364048,
-0.04839223623275757,
-0.03628508746623993,
0.04268405959010124,
0.0376666858792305,
0.012070790864527225,
-0.006980698090046644,
0.0257595032453537,
-0.012916109524667263,
-0.035721540451049805,
0.03039512410759926,
0.04504731670022011,
0.016306474804878235,
0.019069667905569077,
0.00023277515720110387,
0.06998877227306366,
-0.00983478594571352,
0.040611665695905685,
-0.044029299169778824,
0.0012384377187117934,
0.0210875254124403,
0.08289579302072525,
0.020942093804478645,
-0.04188418760895729,
-0.014924878254532814,
-0.013952307403087616,
0.014406779780983925,
-0.06660749763250351,
-0.01837886869907379,
0.05595465749502182,
0.0014770356938242912,
0.009553012438118458,
-0.001448631170205772,
-0.025668609887361526,
0.006430786568671465,
0.003206303808838129,
-0.025777682662010193,
-0.05591830238699913,
0.04221140965819359,
0.0428294911980629,
-0.012770677916705608,
0.011016414500772953,
0.0246324110776186,
-0.021287493407726288,
-0.0059126876294612885,
-0.01477944664657116,
-0.013925038278102875,
-0.033685505390167236,
0.005694540683180094,
0.025159599259495735,
-0.03828476741909981,
-0.058608777821063995,
0.027504678815603256,
0.01896059513092041,
0.036103297024965286,
0.0009850692003965378,
-0.009057637304067612,
0.007089771796017885,
0.006930706091225147,
0.06609848886728287,
-0.06220820173621178,
-0.046210769563913345,
0.025286851450800896,
-0.03061326965689659,
0.03737582266330719,
0.05566379800438881,
-0.0743880644440651,
-0.016361011192202568,
0.07009784132242203,
-0.04097524285316467,
-0.043120354413986206,
-0.015106666833162308,
0.0222146175801754,
0.014752178452908993,
0.05148264765739441,
-0.022832700982689857,
0.04188418760895729,
-0.01983318105340004,
0.006907982751727104,
-0.026359407231211662,
-0.04326578602194786,
-0.03044966049492359,
-0.016170132905244827,
-0.02723199501633644,
0.03666684404015541,
-0.02279634214937687,
0.034267228096723557,
0.020487621426582336,
0.03657595068216324,
-0.0015497513813897967,
0.009607549756765366,
-0.02785007655620575,
-0.029995188117027283,
-0.01802438125014305,
0.04610169306397438,
-0.015052130445837975,
0.004567448981106281,
-0.05875420942902565,
0.02852269634604454,
0.002738197101280093,
0.03984815254807472,
-0.01766989193856716,
-0.025359567254781723,
0.02141474559903145,
0.020160401239991188,
-0.009743891656398773,
0.0018065283074975014,
-0.026504838839173317,
-0.0044424692168831825,
0.037266749888658524,
-0.010116558521986008,
-0.059990376234054565,
-0.032049402594566345,
0.038102976977825165,
-0.04588354751467705,
-0.014615836553275585,
-0.05250066891312599,
0.025632251054048538,
-0.011325455270707607,
0.02505052648484707,
-0.02939528413116932,
-0.05809976905584335,
0.02401432953774929,
-0.0024882371071726084,
-0.03503074496984482,
0.017488103359937668,
0.011534512974321842,
-0.002143974183127284,
0.00032153932261280715,
0.002275771228596568,
0.043665722012519836,
0.04159332811832428,
-0.025741323828697205,
-0.01033470593392849,
-0.02179650217294693,
0.07446078211069107,
0.02317809872329235,
0.007057958748191595,
0.0015872453805059195,
-0.035812437534332275,
0.016070149838924408,
-0.01250708382576704,
0.028958989307284355,
-0.007312463130801916,
-0.040902528911828995,
0.003304015379399061,
0.022578196600079536,
-0.05061006173491478,
-0.01597016490995884,
0.017951665446162224,
-0.015670213848352432,
-0.037066780030727386,
-0.030176976695656776,
0.01287975162267685,
-0.006485322955995798,
-0.07078864425420761,
-0.02759557217359543,
-0.03428540751338005,
0.002992701716721058,
0.051009997725486755,
0.009880232624709606,
0.03341282159090042,
-0.025195958092808723,
0.06304442882537842,
-0.018133454024791718,
0.05486392602324486,
0.016379190608859062,
0.06282628327608109,
-0.04759236425161362,
-0.01033470593392849,
0.014515852555632591,
-0.030213333666324615,
-0.06609848886728287,
-0.01822434924542904,
0.0017429022118449211,
0.055518366396427155,
-0.03937550261616707,
-0.0515190064907074,
0.04573811590671539,
0.006444420665502548,
0.010507404804229736,
0.0034948938991874456,
-0.05879056826233864,
0.007426081225275993,
-0.0482831634581089,
0.008862214162945747,
-0.06693471223115921,
-0.030413301661610603,
-0.06275356560945511,
-0.013934127986431122,
0.004671977832913399,
0.050719134509563446,
0.04530182108283043,
-0.004112976603209972,
-0.017042720690369606,
-0.06751643866300583,
-0.05904507264494896,
0.034467197954654694,
0.01725177839398384,
0.026613911613821983,
-0.028250012546777725,
-0.0006771640619263053,
-0.01896059513092041,
0.06449874490499496,
-0.00618082657456398,
-0.024196118116378784,
-0.04155696928501129,
-0.03483077511191368,
0.01883334293961525,
-0.02997700870037079,
-0.013652355410158634,
0.040611665695905685,
0.0379939042031765,
0.00279273372143507,
-0.016379190608859062,
0.02910442091524601,
0.01886969991028309,
0.013125167228281498,
0.021105704829096794,
0.05809976905584335,
0.01160722877830267,
-0.0024155215360224247,
0.00010495474998606369,
0.03883013501763344,
0.04842859506607056,
0.043411217629909515,
-0.006703469902276993,
0.02710474282503128,
0.015370260924100876,
-0.07177030295133591,
0.03339464217424393,
0.0026200341526418924,
-0.04406565800309181,
0.0028813558164983988,
-0.0016065604286268353,
-0.03661230951547623,
-0.013497834093868732,
-0.04908303543925285,
-0.06802544742822647,
0.000980524462647736,
0.0033790033776313066,
-0.016570068895816803,
-0.011825375258922577,
-0.028577232733368874,
-0.037812113761901855,
-0.014561300165951252,
0.06998877227306366,
0.026995668187737465,
0.008989466354250908,
0.015433887019753456,
0.005126450210809708,
0.008157782256603241,
0.006530770566314459,
0.010843714699149132,
0.02076030522584915,
0.01580655574798584,
-0.013297866098582745,
-0.017342671751976013,
-0.007553333416581154,
0.004592445213347673,
0.004690156783908606,
0.030849596485495567,
-0.020560337230563164,
0.02112388424575329,
0.012525263242423534,
0.03512163832783699,
0.042029619216918945,
0.0015838367398828268,
-0.0008339571068063378,
-0.03074052184820175,
-0.02868630737066269,
0.024068865925073624,
0.057772550731897354,
-0.003453991375863552,
0.02414158172905445,
-0.020869379863142967,
-0.00502192135900259,
-0.023778002709150314,
0.0379939042031765,
0.010716462507843971,
0.04039352014660835,
-0.006303533911705017,
0.004103886894881725,
-0.0021837404929101467,
-0.008880393579602242,
-0.008098701015114784,
-0.02572314627468586,
0.0373394638299942,
0.05228251963853836,
-0.03241297975182533,
0.008007805794477463,
-0.037012241780757904,
-0.03664866462349892,
0.030467839911580086,
-0.0008367975824512541,
-0.04886488616466522,
0.07576966285705566,
-0.013352403417229652,
0.040284447371959686,
-0.0074669839814305305,
-0.023668929934501648,
0.021432925015687943,
-0.0063262577168643475,
0.03135860338807106,
-0.0210875254124403,
-0.007339731324464083,
0.019106024876236916,
0.02046944387257099,
0.011770838871598244,
0.029013527557253838,
0.016297385096549988,
0.00977115985006094,
0.032467518001794815,
-0.013706891797482967,
0.05035555735230446,
0.013534191995859146,
0.00396072817966342,
-0.0031835802365094423,
-0.02843180112540722,
0.022014649584889412,
-0.02434154972434044,
0.007530610077083111,
-0.02292359434068203,
0.02050580084323883,
-0.019742287695407867,
-0.009734801948070526,
0.020905736833810806,
-0.013297866098582745,
-0.0035676094703376293,
0.027668287977576256,
0.013588729314506054,
0.002342805964872241,
-0.020069507881999016,
0.004526546690613031,
0.0011702667688950896,
-0.022614553570747375,
-0.006439875811338425,
-0.003474442521110177,
-0.004247046075761318,
0.006608030758798122,
0.03228572756052017,
0.03352189436554909,
0.03492166846990585,
0.04355664923787117,
0.026377586647868156,
0.014406779780983925,
0.04224776849150658,
-0.0054491255432367325,
0.023450782522559166,
-0.004512912128120661,
0.029849756509065628,
-0.006667112000286579,
-0.04072073847055435,
0.051300860941410065,
0.024941453710198402,
0.02501416765153408,
-0.01860610581934452,
0.01883334293961525,
0.040902528911828995,
-0.01732449233531952,
0.009098540060222149,
0.0379939042031765,
-0.03366732597351074,
-0.03164946660399437,
0.0029608886688947678,
0.05817248672246933,
0.02475966326892376,
0.051846228539943695,
-0.0019928619731217623,
0.030849596485495567,
0.003442629473283887,
0.018106186762452126,
0.05260974168777466,
-0.037521254271268845,
0.054972998797893524,
-0.006444420665502548,
-0.001346374861896038,
0.028795380145311356,
-0.00970753375440836,
-0.018178900703787804,
-0.01648826338350773,
0.0033199219033122063,
0.014488584361970425,
0.0023030396550893784,
-0.04577447474002838,
-0.027904614806175232,
0.008262311108410358,
0.020778484642505646,
-0.002259864704683423,
-0.03432176634669304,
-0.014406779780983925,
-0.0110255042091012,
-0.0026200341526418924,
-0.018887879326939583,
-0.023323530331254005,
-0.026795700192451477,
-0.05857241898775101,
0.03406726196408272,
0.037848472595214844,
-0.01041651051491499,
0.009598460048437119,
-0.01242527924478054,
0.022250976413488388,
0.04915574938058853,
-0.035430680960416794,
-0.04053895175457001,
0.0021735148038715124,
0.010907340794801712,
-0.006567128002643585,
0.018924236297607422,
0.026450302451848984,
0.03081323765218258,
0.01574292965233326,
-0.04555632546544075,
0.013988664373755455,
0.022741805762052536,
0.042611345648765564,
0.025650430470705032,
0.026704806834459305,
0.0019224188290536404,
-0.033049244433641434,
0.03261294960975647,
-0.010916430503129959,
0.011589049361646175,
0.02375982515513897,
0.014543121680617332,
0.04501096159219742,
0.017797144129872322,
-0.06820724159479141,
-0.002613217104226351,
0.03686681389808655,
0.02948617748916149,
0.007626049220561981,
0.03788483142852783,
-0.0008225953206419945,
0.06046302616596222,
-0.02830454893410206,
0.025923114269971848,
0.02359621413052082,
0.024995990097522736,
0.03235844522714615,
0.00230985670350492,
0.03023151308298111,
0.05144629254937172,
-0.005808159243315458,
0.047410573810338974,
-0.030849596485495567,
-0.0059944926761090755,
-0.0054991175420582294,
-0.0173881184309721,
0.017179062590003014,
-0.010534672997891903,
-0.0037834839895367622,
0.000323811691487208,
0.015942895784974098,
0.03377639874815941,
-0.016470083966851234,
0.018760627135634422,
-0.017988022416830063,
0.0007396540604531765,
0.0360487625002861,
0.01041651051491499,
0.020269475877285004,
0.03721221163868904,
0.033594608306884766,
0.03350371494889259,
0.022323690354824066,
0.002958616241812706,
0.007644228171557188,
0.012134416960179806,
-0.04704699665307999,
-0.02070576883852482,
-0.02308720536530018,
0.017660802230238914,
-0.046683419495821,
0.021996470168232918,
0.012661605142056942,
0.029849756509065628,
-0.01532481424510479,
-0.02050580084323883,
0.03715767338871956,
-0.026504838839173317,
0.017733518034219742,
0.017697161063551903,
0.026359407231211662,
0.00787146482616663,
0.033085599541664124,
-0.015488424338400364,
0.018215259537100792,
0.003290381282567978,
-0.024614233523607254,
-0.009971127845346928,
-0.027050206437706947,
-0.013143345713615417,
0.00671255961060524,
0.01469764206558466,
-0.0034449019003659487,
0.025504998862743378,
-0.03821204975247383,
0.0325038768351078,
0.014788536354899406,
-0.04882853105664253,
0.061953697353601456,
-0.04013901576399803,
-0.010116558521986008,
0.03470352292060852,
-0.01534299273043871,
-0.011652675457298756,
0.019687751308083534,
-0.04726514220237732,
-0.023250814527273178,
-0.008357750251889229,
-0.05068277567625046,
0.03699406608939171,
-0.014206811785697937,
0.007703309413045645,
0.017151793465018272,
0.024250654503703117,
0.023450782522559166,
0.03441265970468521,
-0.0031631288584321737,
0.0014906699070706964,
0.03139496222138405,
-0.021705608814954758,
0.015861092135310173,
0.0007407902157865465,
-0.053555045276880264,
0.027377426624298096,
-0.024232475087046623,
-0.036139655858278275,
0.03094048984348774,
-0.0011691305553540587,
-0.015615676529705524,
0.005067368969321251,
-0.004592445213347673,
0.0016576886409893632,
0.02772282436490059,
-0.04359300434589386,
0.016070149838924408,
-0.024159759283065796,
0.05755440145730972,
-0.021778324618935585,
0.07787841558456421,
0.007944179698824883,
-0.0043765706941485405,
-0.015761107206344604,
-0.06402609497308731,
0.01718815229833126,
-0.051846228539943695,
-0.005349142011255026,
0.07297010719776154,
0.021232957020401955,
0.019760465249419212,
-0.011052772402763367,
-0.029449820518493652,
0.028958989307284355,
-0.0064580547623336315,
0.047337859869003296,
0.018242526799440384,
-0.019142383709549904,
-0.03115863725543022,
-0.04326578602194786,
0.003206303808838129,
-0.014915788546204567,
-0.013361492194235325,
0.020614873617887497,
-0.03524889051914215,
-0.00605357438325882,
-0.020978452637791634,
0.02939528413116932,
-0.021032989025115967,
-0.012261669151484966,
-0.0018269795691594481,
-0.0068625351414084435,
-0.020942093804478645,
-0.0017554002115502954,
0.0021530636586248875,
-0.023832539096474648,
0.0569726787507534,
-0.02585039846599102,
-0.0008583849994465709,
-0.03126771003007889,
0.012416189536452293,
0.001679275999777019,
-0.020742125809192657,
-0.0073851789347827435,
0.015606586821377277,
0.05769983306527138,
0.003724402515217662,
0.01551569253206253,
0.015097578056156635,
-0.022287333384156227,
-0.05682724714279175,
0.03861198574304581,
0.018760627135634422,
0.01767898164689541,
0.013906859792768955,
-0.010552852414548397,
0.03650323301553726,
-0.01242527924478054,
-0.06191733852028847,
-0.044829171150922775,
-0.0021632893476635218,
0.02810458093881607,
-0.01355237141251564,
-0.032194834202528,
-0.04264770448207855,
0.039775434881448746,
-0.04042987525463104,
0.010343794710934162,
-0.019033309072256088,
0.006676201708614826,
-0.00621263962239027,
0.043956585228443146,
0.03319467604160309,
-0.006553493905812502,
0.02655937522649765,
0.012125327251851559,
-0.04432016238570213,
0.017906218767166138,
0.004808319266885519,
-0.00985296443104744,
-0.010598300024867058,
0.04722878709435463,
-0.012616157531738281,
-0.013061541132628918,
-0.012152595445513725,
0.02646848000586033,
0.012870661914348602,
-0.005676362197846174,
-0.017433566972613335,
-0.006026305723935366,
0.02234186977148056,
-0.008925840258598328,
0.0017758514732122421,
-0.02526867389678955,
0.0296134315431118,
0.04130246490240097,
0.03492166846990585,
0.014833983965218067,
0.03499438613653183,
-0.024159759283065796,
0.03592151030898094,
-0.02601400762796402,
-0.03184943646192551,
-0.03653959184885025,
-0.04573811590671539,
-0.031049564480781555,
-0.028468159958720207,
0.008925840258598328,
0.008753141388297081,
0.05962679535150528,
0.03692134842276573,
-0.049664758145809174,
0.017988022416830063,
-0.008962198160588741,
0.004017537459731102,
0.026377586647868156,
0.02646848000586033,
0.005744532682001591,
0.005758167244493961,
-0.022014649584889412,
-0.018506120890378952,
-0.057481687515974045,
0.006844356656074524,
-0.012888841331005096,
-0.012207132764160633,
-0.012279847636818886,
-0.011334544979035854,
-0.030576912686228752,
0.015506602823734283,
-0.05079185217618942,
-0.04951932653784752,
-0.038902848958969116,
-0.015479334630072117,
-0.010062022134661674,
-0.009234881959855556,
0.012179863639175892,
0.014961236156523228,
0.07024327665567398,
-0.017688071355223656,
-0.02730471082031727,
-0.02041490562260151,
-0.03274020180106163,
0.039484575390815735,
0.026832059025764465,
-0.03824840858578682,
-0.005744532682001591,
0.032176654785871506,
0.018133454024791718,
0.0505373477935791,
0.031013205647468567,
-0.02646848000586033,
-0.040029942989349365,
0.021560177206993103,
0.033303748816251755,
-0.015279366634786129,
0.027213815599679947,
0.0011725391959771514,
-0.020687589421868324,
0.027468319982290268,
-0.0029836122412234545,
-0.014415868557989597,
-0.002476875437423587,
-0.00227804365567863,
-0.01709725707769394,
0.024959631264209747,
-0.0030540553852915764,
0.04748329147696495,
0.0679163783788681,
-0.015370260924100876,
0.04588354751467705,
-0.01553387101739645,
-0.04224776849150658,
0.03803026303648949,
0.0011532240314409137,
-0.044574666768312454,
0.0273592472076416,
0.021851040422916412,
-0.027541035786271095,
0.025832219049334526,
0.006167192477732897,
0.005308239255100489,
0.04639255627989769,
-0.021578356623649597,
0.02196011319756508,
-0.06838902831077576,
0.04555632546544075,
-0.0022007832303643227
] |
Placing a human in the loop may abate the risks of deploying AI systems in
safety-critical settings (e.g., a clinician working with a medical AI system).
However, mitigating risks arising from human error and uncertainty within such
human-AI interactions is an important and understudied issue. In this work, we
study human uncertainty in the context of concept-based models, a family of AI
systems that enable human feedback via concept interventions where an expert
intervenes on human-interpretable concepts relevant to the task. Prior work in
this space often assumes that humans are oracles who are always certain and
correct. Yet, real-world decision-making by humans is prone to occasional
mistakes and uncertainty. We study how existing concept-based models deal with
uncertain interventions from humans using two novel datasets: UMNIST, a visual
dataset with controlled simulated uncertainty based on the MNIST dataset, and
CUB-S, a relabeling of the popular CUB concept dataset with rich,
densely-annotated soft labels from humans. We show that training with uncertain
concept labels may help mitigate weaknesses of concept-based systems when
handling uncertain interventions. These results allow us to identify several
open challenges, which we argue can be tackled through future multidisciplinary
research on building interactive uncertainty-aware systems. To facilitate
further research, we release a new elicitation platform, UElic, to collect
uncertain feedback from humans in collaborative prediction tasks. | [
-0.010653112083673477,
0.03467332199215889,
-0.043887343257665634,
-0.03204626217484474,
0.07162600010633469,
0.01873711496591568,
-0.06490381807088852,
0.008344776928424835,
-0.005360360257327557,
0.0035156235098838806,
0.003138949628919363,
-0.049450527876615524,
-0.02605811133980751,
0.001441502245143056,
-0.056945376098155975,
0.013502312824130058,
-0.0039019559044390917,
0.03073273040354252,
-0.01401420310139656,
-0.04106711968779564,
0.051382191479206085,
-0.020301761105656624,
-0.04006265476346016,
0.007374117150902748,
0.04867786541581154,
0.009890105575323105,
0.038034409284591675,
-0.004133755341172218,
-0.0864611566066742,
0.05281161889433861,
-0.0002751108258962631,
0.009286461398005486,
0.0033707490656524897,
-0.0027984941843897104,
-0.03772534430027008,
-0.024609364569187164,
0.007712157908827066,
0.0660628154873848,
-0.003151022596284747,
0.051923055201768875,
-0.003996124491095543,
-0.025497928261756897,
0.010720720514655113,
-0.02225273847579956,
0.016206638887524605,
-0.03811167553067207,
-0.061040498316287994,
-0.007895665243268013,
0.000008493461791658774,
-0.01471925899386406,
-0.00044548939331434667,
-0.04813699796795845,
0.05779530480504036,
-0.00533138494938612,
-0.04098985344171524,
0.025613829493522644,
0.031099746003746986,
-0.028414737433195114,
0.07966171205043793,
0.006335848942399025,
0.0077266450971364975,
0.020591508597135544,
-0.06432431936264038,
0.005568013526499271,
0.049450527876615524,
-0.026985308155417442,
0.014989691786468029,
-0.000309065799228847,
-0.012130833230912685,
-0.005514893215149641,
0.004145828075706959,
0.00620063254609704,
-0.006746327038854361,
0.008750425651669502,
0.018968913704156876,
0.011387143284082413,
0.05165262147784233,
-0.001930454047396779,
-0.003247605636715889,
0.008793887682259083,
0.07174190133810043,
-0.012372290715575218,
0.01087525300681591,
0.013859669677913189,
0.060963232070207596,
-0.04238064959645271,
-0.016457755118608475,
-0.0863838940858841,
0.0314667634665966,
-0.010556529276072979,
-0.010131563059985638,
0.03111906349658966,
-0.040758054703474045,
-0.03855596110224724,
-0.00859106332063675,
0.00612819567322731,
-0.0017058984376490116,
0.012729647569358349,
-0.009948055259883404,
-0.041298918426036835,
0.024145767092704773,
0.024744581431150436,
0.026714876294136047,
-0.002491842955350876,
0.0004835189611185342,
-0.029090819880366325,
-0.012864864431321621,
0.01790650002658367,
0.012092200107872486,
0.18837560713291168,
-0.002943368861451745,
-0.01957738772034645,
-0.022561803460121155,
-0.0317758284509182,
-0.04763476923108101,
-0.014294293709099293,
-0.024203715845942497,
-0.03759012743830681,
-0.0014137346297502518,
-0.03901955857872963,
0.008620038628578186,
0.034441519528627396,
0.02350831776857376,
0.05435694754123688,
-0.03137017786502838,
0.03880707547068596,
0.018379757180809975,
-0.004681864287704229,
0.03488580137491226,
0.05227075517177582,
0.016071422025561333,
0.05072542652487755,
-0.03204626217484474,
-0.022948136553168297,
0.005727375857532024,
-0.007180951070040464,
0.05157535523176193,
0.008987054228782654,
-0.017993424087762833,
0.015269782394170761,
-0.010073613375425339,
-0.01326085440814495,
-0.030809998512268066,
0.042844247072935104,
-0.04666893556714058,
0.011850741691887379,
-0.00382710387930274,
0.08344776928424835,
-0.04952779412269592,
0.002991660498082638,
-0.051807157695293427,
0.03334047272801399,
0.006577306892722845,
0.04238064959645271,
0.08831555396318436,
-0.058915670961141586,
0.0022902258206158876,
-0.029998699203133583,
-0.0014994520461186767,
-0.009358898736536503,
0.058490704745054245,
-0.062083594501018524,
0.004614255856722593,
0.03123496286571026,
0.02793182246387005,
-0.007132659200578928,
-0.01869848184287548,
-0.01697930321097374,
-0.031717877835035324,
0.057988472282886505,
-0.034731268882751465,
-0.040294453501701355,
-0.023817384615540504,
0.021383490413427353,
0.00024145765928551555,
0.07753688097000122,
0.03990812227129936,
0.009948055259883404,
-0.021885722875595093,
0.014835158362984657,
-0.00019286430324427783,
-0.01401420310139656,
0.007060221862047911,
0.019876794889569283,
0.058915670961141586,
0.020185859873890877,
0.07429169118404388,
-0.005766008980572224,
0.05161399021744728,
0.025497928261756897,
0.01173484232276678,
0.002660863334313035,
0.05122765898704529,
-0.0015863768057897687,
-0.011966641992330551,
-0.05064816027879715,
-0.06297215819358826,
0.012352974154055119,
-0.023682167753577232,
-0.03241327777504921,
-0.02233000472187996,
-0.07181916385889053,
-0.02939988486468792,
-0.022272054105997086,
0.007485187612473965,
0.0014209783403202891,
-0.011937666684389114,
-0.030636148527264595,
0.005447284784168005,
-0.023141302168369293,
0.017665041610598564,
-0.004809836391359568,
-0.05219348892569542,
-0.009001541882753372,
-0.04608943685889244,
-0.023817384615540504,
-0.0082578519359231,
0.014390876516699791,
-0.016235612332820892,
0.0035156235098838806,
0.0037860560696572065,
0.013502312824130058,
0.005968833342194557,
-0.037995778024196625,
-0.010981494560837746,
-0.006248924415558577,
0.002477355534210801,
0.0037039604503661394,
0.012816572561860085,
-0.012517165392637253,
-0.0009555686847306788,
0.01839907467365265,
0.05022319406270981,
-0.010923544876277447,
0.05482054874300957,
-0.018543949350714684,
-0.008677988313138485,
-0.030423665419220924,
-0.003626693971455097,
0.020552875474095345,
0.023662850260734558,
-0.03762876242399216,
-0.04748023301362991,
-0.042303383350372314,
0.07467802613973618,
-0.028588587418198586,
0.04454410821199417,
0.038324158638715744,
0.01952909491956234,
0.0049788570031523705,
-0.04860059916973114,
0.031853094696998596,
0.005060952622443438,
-0.012352974154055119,
-0.025478612631559372,
0.061079129576683044,
0.019973378628492355,
-0.04102848470211029,
0.027545489370822906,
0.020089277997612953,
0.06274035573005676,
0.020881257951259613,
0.00798741914331913,
0.03780261054635048,
-0.02200162224471569,
-0.044814541935920715,
0.03855596110224724,
-0.013502312824130058,
0.030133916065096855,
-0.02358558401465416,
0.040680788457393646,
0.02609674446284771,
0.022774286568164825,
-0.02476389706134796,
-0.011319534853100777,
-0.01240126509219408,
0.02329583466053009,
0.022600436583161354,
-0.05176852270960808,
-0.04469864070415497,
0.016409462317824364,
0.014419851824641228,
0.023817384615540504,
-0.020166544243693352,
-0.018968913704156876,
-0.0532752200961113,
0.00765420775860548,
-0.013183588162064552,
-0.07664831727743149,
-0.026908041909337044,
-0.013318805024027824,
-0.02099715918302536,
-0.017240077257156372,
0.03917409107089043,
0.060576897114515305,
0.038710493594408035,
-0.04578037187457085,
0.008813204243779182,
0.0006839288398623466,
-0.040758054703474045,
0.02563314512372017,
-0.06780131161212921,
0.0007195438374765217,
0.04338511452078819,
0.016612287610769272,
0.018244540318846703,
0.037165164947509766,
0.03475058823823929,
-0.02563314512372017,
-0.012517165392637253,
-0.016583312302827835,
0.036025483161211014,
-0.06026783213019371,
-0.034731268882751465,
0.01200527511537075,
0.0629335269331932,
0.01995406113564968,
0.029766900464892387,
0.017887184396386147,
0.01949046179652214,
0.005640450865030289,
-0.00788117852061987,
-0.1013735830783844,
0.014371559955179691,
0.011918350122869015,
0.00999634712934494,
-0.033726807683706284,
0.005075440276414156,
-0.023527635261416435,
0.007543137297034264,
-0.05474328249692917,
-0.00707953842356801,
-0.03094521351158619,
0.015356707386672497,
0.045394040644168854,
0.00590605428442359,
-0.0012495433911681175,
0.036199331283569336,
-0.01154167577624321,
-0.020166544243693352,
-0.017954790964722633,
-0.0354653000831604,
-0.07575975358486176,
-0.03108043037354946,
-0.008055027574300766,
-0.026444442570209503,
0.03378475457429886,
0.041839782148599625,
-0.021132374182343483,
-0.029303301125764847,
0.0011439056834205985,
-0.03801509365439415,
0.0013630285393446684,
0.011454751715064049,
0.03751286119222641,
-0.006345507223159075,
-0.0316212959587574,
0.0036943021696060896,
-0.01026677992194891,
0.028994236141443253,
-0.007301679812371731,
-0.07680284976959229,
-0.045741740614175797,
0.024976380169391632,
-0.022233420982956886,
-0.010556529276072979,
0.0254206620156765,
-0.03409382328391075,
-0.02681145817041397,
-0.0429215133190155,
-0.0342869870364666,
0.018370099365711212,
0.0430760458111763,
0.025188863277435303,
-0.011454751715064049,
0.013792061246931553,
-0.012777939438819885,
-0.00802605226635933,
-0.010566187091171741,
0.04052625223994255,
-0.012266049161553383,
-0.014902766793966293,
0.011889374814927578,
-0.016882719472050667,
-0.001431843964383006,
0.08537942916154861,
0.023141302168369293,
0.026000160723924637,
0.027506856247782707,
0.030925897881388664,
0.012072883546352386,
-0.02476389706134796,
-0.007040905300527811,
-0.03575504943728447,
0.048368800431489944,
-0.005616305395960808,
0.040217187255620956,
-0.030095282942056656,
0.028086354956030846,
0.004824324045330286,
-0.023991232737898827,
0.03231669217348099,
-0.01238194853067398,
-0.011831425130367279,
0.0019413195550441742,
-0.01028609648346901,
-0.024184400215744972,
0.022561803460121155,
-0.00826268084347248,
0.004488697741180658,
0.03357227146625519,
-0.006466235965490341,
0.011213294230401516,
0.005500405561178923,
0.02053355984389782,
0.0020741212647408247,
0.009305777959525585,
0.00876008439809084,
-0.014439168386161327,
-0.023411734029650688,
0.013376754708588123,
0.014545409940183163,
0.0685739740729332,
-0.04713253676891327,
-0.030887264758348465,
0.01444882620126009,
-0.06061553210020065,
0.01066276989877224,
-0.04450547695159912,
-0.024821847677230835,
0.043887343257665634,
-0.012623406946659088,
-0.034113138914108276,
-0.05512961372733116,
0.010421312414109707,
-0.015134566463530064,
-0.004913663491606712,
0.03471195325255394,
-0.029882799834012985,
-0.04450547695159912,
0.007021588739007711,
-0.018968913704156876,
0.007306508719921112,
0.00263430317863822,
-0.03345637395977974,
-0.04350101202726364,
-0.007813570089638233,
-0.005548696964979172,
-0.02246522158384323,
0.013425045646727085,
-0.03610274940729141,
0.07506436109542847,
-0.10801850259304047,
-0.053391117602586746,
0.04496907442808151,
-0.014168735593557358,
0.02513091266155243,
-0.05215485394001007,
0.006046100053936243,
-0.07193506509065628,
0.011136027052998543,
0.07803911715745926,
0.0055100638419389725,
0.0007436895975843072,
-0.002010134980082512,
-0.03654703125357628,
0.0038850537966936827,
-0.017240077257156372,
0.011280901730060577,
0.041260283440351486,
-0.019664311781525612,
-0.02103579230606556,
-0.005403822287917137,
-0.031177014112472534,
-0.00041138348751701415,
-0.03032708168029785,
-0.01532773207873106,
0.0088663250207901,
0.03241327777504921,
-0.023952599614858627,
0.05115039274096489,
0.0025497928727418184,
-0.005065781529992819,
-0.013598895631730556,
0.0010286096949130297,
-0.01536636520177126,
0.05157535523176193,
-0.023682167753577232,
-0.022156154736876488,
-0.05420241504907608,
-0.025072963908314705,
-0.0531206838786602,
0.04415777698159218,
0.001571889384649694,
0.005254118703305721,
-0.047402966767549515,
-0.02638649381697178,
-0.058529336005449295,
0.04133755341172218,
0.024783214554190636,
0.005703229922801256,
-0.024667315185070038,
-0.04918009787797928,
0.03156334534287453,
-0.0026367176324129105,
-0.02066877670586109,
-0.008170926943421364,
0.017510509118437767,
0.012555798515677452,
0.01865018904209137,
0.017075885087251663,
0.011338851414620876,
0.052888885140419006,
-0.04110575094819069,
0.030230499804019928,
0.0254206620156765,
0.05825890600681305,
0.0007847374072298408,
0.012546139769256115,
0.03320525586605072,
-0.001556194620206952,
0.0024097475688904524,
0.03086794726550579,
0.038787759840488434,
-0.07715055346488953,
-0.008711792528629303,
0.013743770308792591,
0.021190324798226357,
-0.0014427094720304012,
-0.04265107959508896,
-0.03210420906543732,
0.014332926832139492,
-0.06915347278118134,
-0.025227496400475502,
-0.02426166646182537,
-0.0240105502307415,
0.06413115561008453,
0.07143283635377884,
0.01685374416410923,
-0.020977841690182686,
-0.07004203647375107,
0.03359159082174301,
0.05049362778663635,
0.058567970991134644,
-0.03840142488479614,
0.01442950963973999,
0.038710493594408035,
-0.008170926943421364,
-0.021016474813222885,
-0.006625598296523094,
0.01053721271455288,
0.015878256410360336,
0.013048372231423855,
-0.0038198602851480246,
-0.010401995852589607,
-0.0025063306093215942,
-0.011532017961144447,
0.012352974154055119,
0.010469604283571243,
-0.04616670310497284,
0.04863923043012619,
-0.009624502621591091,
0.006862226873636246,
0.04605080559849739,
0.006393799092620611,
-0.0406421534717083,
0.0021381075493991375,
0.0863838940858841,
-0.027545489370822906,
0.05169125646352768,
0.006577306892722845,
-0.04999139532446861,
-0.014062494039535522,
-0.006582135800272226,
-0.0010630174074321985,
-0.013289829716086388,
0.038536641746759415,
-0.035233501344919205,
-0.020108593627810478,
0.032722342759370804,
-0.028665853664278984,
0.007234071381390095,
-0.006925005931407213,
0.03689473122358322,
0.040294453501701355,
-0.020919891074299812,
0.015250465832650661,
-0.03334047272801399,
0.0036170356906950474,
-0.03766739368438721,
0.02835678867995739,
0.02078467607498169,
-0.007649378851056099,
0.02706257440149784,
-0.008151610381901264,
0.015530556440353394,
0.025072963908314705,
0.017616750672459602,
0.019306953996419907,
-0.07568249106407166,
0.03384270519018173,
0.029264668002724648,
0.020050644874572754,
0.026116060093045235,
0.0012320376699790359,
0.02717847377061844,
-0.014980033040046692,
-0.00915607437491417,
-0.019413195550441742,
-0.004689107649028301,
0.01576235704123974,
-0.04098985344171524,
0.04972096160054207,
-0.036566346883773804,
0.0378991961479187,
-0.03872980922460556,
-0.018437707796692848,
-0.011358167976140976,
-0.0158492811024189,
0.02204025536775589,
0.015743039548397064,
-0.038710493594408035,
0.026869408786296844,
0.04663030430674553,
-0.013115979731082916,
0.01568508893251419,
-0.02124827355146408,
-0.02207888849079609,
-0.0015646456740796566,
-0.014188052155077457,
-0.05984286591410637,
-0.0024206130765378475,
0.007151975762099028,
0.0070553929544985294,
-0.01267169788479805,
-0.03739696368575096,
0.022658387199044228,
0.03575504943728447,
0.058490704745054245,
-0.06123366206884384,
-0.06988750398159027,
0.004896761383861303,
-0.025980845093727112,
0.05887703597545624,
-0.0082771684974432,
0.01618732139468193,
0.021151691675186157,
-0.005630792584270239,
0.03558120131492615,
0.012352974154055119,
-0.026463760063052177,
0.0061330245807766914,
0.003117218380793929,
0.026618292555212975,
-0.050995856523513794,
-0.029960066080093384,
0.008658671751618385,
0.028704486787319183,
0.02717847377061844,
-0.021595973521471024,
0.0530434176325798,
-0.0036291086580604315,
0.04361691325902939,
-0.0007002272177487612,
0.06521288305521011,
0.012391607277095318,
-0.014342584647238255,
0.006224778480827808,
-0.01200527511537075,
0.034982386976480484,
-0.0016563995741307735,
-0.037165164947509766,
-0.057061273604631424,
0.053468383848667145,
0.017674701288342476,
-0.019268320873379707,
-0.008943592198193073,
-0.007142317481338978,
-0.024976380169391632,
-0.045394040644168854,
-0.016042446717619896,
-0.014081810601055622,
0.03111906349658966,
-0.019046179950237274,
-0.017172468826174736,
-0.006514527834951878,
-0.0039478326216340065,
0.06077006459236145,
0.0032500200904905796,
-0.011744501069188118,
-0.010054296813905239,
0.0009791108313947916,
0.01380171999335289,
-0.03386202082037926,
-0.005964004434645176,
0.021016474813222885,
-0.04651440307497978,
-0.04921872913837433,
0.027197791263461113,
0.008417214266955853,
-0.0531206838786602,
0.00033954984974116087,
-0.004143413621932268,
0.018534289672970772,
0.02638649381697178,
0.025459295138716698,
-0.0012555798748508096,
0.0035808170214295387,
-0.033263206481933594,
0.03345637395977974,
-0.0035421838983893394,
0.033765438944101334,
-0.00310031627304852,
-0.03600616753101349,
-0.004759130533784628,
0.03449947014451027,
0.05424105003476143,
-0.015781672671437263,
-0.004614255856722593,
0.03094521351158619,
0.028743119910359383,
-0.02551724575459957,
0.027912504971027374,
-0.021151691675186157,
-0.03270302712917328,
0.002682594582438469,
0.015916889533400536,
-0.004418675322085619,
0.02254248782992363,
0.0032065578270703554,
0.04612807184457779,
0.0014535750960931182,
-0.005790154915302992,
0.011928008869290352,
-0.005003002937883139,
-0.03994675725698471,
0.00932992435991764,
0.0183218065649271,
0.00884217955172062,
0.01401420310139656,
-0.010720720514655113,
-0.03476990386843681,
0.027989773079752922,
-0.04342374578118324,
0.005200997926294804,
-0.00974523089826107,
-0.033900655806064606,
0.03861390799283981,
0.009696939960122108,
0.016708869487047195,
0.03332115709781647,
-0.025401346385478973,
0.04763476923108101,
-0.03227806091308594,
-0.03015323355793953,
-0.0431533120572567,
0.004901590757071972,
0.02024381048977375,
-0.011329193599522114,
-0.015520898625254631,
-0.0009326302097178996,
0.04898693040013313,
-0.005350701976567507,
0.020398342981934547,
0.03606411814689636,
-0.012169466353952885,
-0.007098855450749397,
0.021480074152350426,
0.007383775431662798,
-0.0021694970782846212,
0.02516954578459263,
0.014255660586059093,
0.019500121474266052,
-0.08916548639535904,
0.009286461398005486,
-0.01814795844256878,
-0.0007654207875020802,
-0.02907150238752365,
-0.02358558401465416,
-0.03254849463701248,
-0.01693101041018963,
0.021267591044306755,
-0.030790681019425392,
0.028472688049077988,
-0.016486728563904762,
0.026116060093045235,
-0.015627140179276466,
-0.05373881757259369,
-0.0070891971699893475,
0.06019056588411331,
-0.04346238076686859,
-0.02885901927947998,
0.014207368716597557,
0.02451278269290924,
0.01489310897886753,
-0.016718529164791107,
-0.0014608188066631556,
0.03484717011451721,
-0.008610379882156849,
-0.026830775663256645,
0.013985227793455124,
-0.009957714006304741,
0.03952179104089737,
0.04365554451942444,
-0.04554857313632965,
-0.036914046853780746,
-0.013087005354464054,
-0.03407450392842293,
0.04956642910838127,
0.030887264758348465,
0.0506867915391922,
0.02157665602862835,
-0.0054521141573786736,
-0.002873346209526062,
0.019722262397408485,
-0.04044898599386215,
-0.014844817109405994,
0.08020257949829102,
-0.009750060737133026,
0.002066877670586109,
-0.015955522656440735,
-0.03158266097307205,
-0.019171738997101784,
-0.013956252485513687,
-0.04605080559849739,
0.01471925899386406,
0.004182046744972467,
-0.009614843875169754,
0.030423665419220924,
-0.045934904366731644,
-0.0038802246563136578,
0.03816962614655495,
-0.014989691786468029,
-0.00249425764195621,
-0.03890365734696388,
0.03956042230129242,
-0.06903757154941559,
-0.028530636802315712,
0.00007292775990208611,
0.021132374182343483,
-0.04902556538581848,
0.01932627148926258,
-0.027197791263461113,
-0.012439899146556854,
0.017249735072255135,
-0.0007949993596412241,
-0.005925370845943689,
0.02329583466053009,
-0.020398342981934547,
-0.0012507507344707847,
0.01781957596540451,
0.002103096339851618,
0.02082330919802189,
0.007982590235769749,
0.02505364641547203,
0.0009917872957885265,
-0.004290702752768993,
0.06625597923994064,
-0.004474210552871227,
0.009247828274965286,
-0.014999349601566792,
-0.018428048118948936,
-0.01839907467365265,
0.006717352196574211,
0.0158492811024189,
-0.010083272121846676,
0.011696209199726582,
-0.048407431691884995,
0.002141729462891817,
-0.006413115654140711,
-0.0178099162876606,
-0.003906785044819117,
0.008214389905333519,
0.03606411814689636,
-0.02182777225971222,
0.01626458764076233,
0.012526823207736015,
0.018051374703645706,
-0.009122270159423351,
-0.028472688049077988,
-0.05957243591547012,
0.031138380989432335,
0.047866567969322205,
-0.017249735072255135,
0.026965992525219917,
-0.028047721832990646,
0.024416198953986168,
-0.017597435042262077,
0.00004334919503889978,
-0.03735832870006561,
-0.003766739508137107,
0.011290560476481915,
-0.01384035311639309,
-0.02781592309474945,
-0.0032331179827451706,
0.029457835480570793,
0.0075286501087248325,
0.0379764623939991,
0.008919445797801018,
-0.004249654710292816,
0.009986689314246178,
-0.03844005987048149,
-0.006582135800272226,
-0.021480074152350426,
0.019258663058280945,
-0.0022117521148175,
-0.009696939960122108,
-0.031428128480911255,
0.025961527600884438,
-0.005003002937883139,
-0.015086274594068527,
-0.042226117104291916,
-0.00903534609824419,
-0.021344857290387154,
0.02978621795773506,
-0.037918511778116226,
-0.028279520571231842,
0.010595162399113178,
0.0506867915391922,
-0.0055438680574297905,
0.00004938563870382495,
0.021267591044306755,
-0.0029578562825918198,
-0.006021954119205475,
0.005732204765081406,
-0.018418390303850174,
0.005640450865030289,
0.022639069706201553,
0.013454020954668522,
0.01727871038019657,
-0.05165262147784233,
0.03550393506884575,
-0.012497848831117153,
0.015231149271130562,
0.0265603419393301,
0.02354695089161396,
-0.03337910771369934,
-0.0065386733040213585,
-0.01677647791802883,
-0.036914046853780746,
-0.0022395197302103043,
0.012227416038513184,
-0.005263776984065771,
0.010740037076175213,
-0.008663500659167767,
0.019393879920244217,
0.031544029712677,
0.020514242351055145,
-0.019799528643488884,
0.007533479016274214,
-0.024029865860939026,
-0.011029786430299282,
0.0002518705150578171,
-0.004237581975758076,
-0.02057219296693802,
0.016380487009882927,
-0.011116710491478443,
-0.024319615215063095,
-0.0432305783033371,
0.042303383350372314,
-0.07386672496795654,
-0.023489002138376236,
-0.03513691946864128,
0.000894600641913712,
-0.014284634962677956,
0.06277899444103241,
-0.05115039274096489,
-0.030249815434217453,
-0.03722311183810234,
0.004551476798951626,
0.003943003714084625,
-0.014371559955179691,
0.006509698461741209,
0.0035542568657547235,
0.0035856461618095636,
0.0024676972534507513,
0.006475894711911678,
-0.01152235921472311,
-0.024725263938307762,
-0.016506046056747437,
-0.003604962956160307,
-0.04469864070415497,
0.03032708168029785,
0.00005285659062792547,
-0.036276597529649734,
-0.023527635261416435,
0.04523950815200806,
0.000116880597488489,
-0.044891808182001114,
0.049411896616220474,
-0.01173484232276678,
-0.005123731680214405,
0.005398993380367756,
-0.023353785276412964,
-0.03577436879277229,
0.004544232971966267,
-0.04106711968779564,
-0.015907229855656624,
-0.0018157616723328829,
0.007108513731509447,
-0.019017204642295837,
0.02634786069393158,
0.01726905256509781,
0.05988150089979172,
-0.015202173963189125,
0.011039444245398045,
0.05115039274096489,
0.0391547754406929,
-0.031679246574640274,
0.020050644874572754,
-0.02258112095296383,
-0.0069298348389565945,
0.006736668758094311,
0.026231959462165833,
-0.06876714527606964,
0.05370018258690834,
-0.027371641248464584,
-0.013454020954668522,
0.031312230974435806,
-0.03525281697511673,
0.0008692475967109203,
0.06312669068574905,
0.02727505750954151,
-0.022175472229719162
] |
Predicting future resource demand in Cloud Computing is essential for
optimizing the trade-off between serving customers' requests efficiently and
minimizing the provisioning cost. Modelling prediction uncertainty is also
desirable to better inform the resource decision-making process, but research
in this field is under-investigated. In this paper, we propose univariate and
bivariate Bayesian deep learning models that provide predictions of future
workload demand and its uncertainty. We run extensive experiments on Google and
Alibaba clusters, where we first train our models with datasets from different
cloud providers and compare them with LSTM-based baselines. Results show that
modelling the uncertainty of predictions has a positive impact on performance,
especially on service level metrics, because uncertainty quantification can be
tailored to desired target service levels that are critical in cloud
applications. Moreover, we investigate whether our models benefit transfer
learning capabilities across different domains, i.e. dataset distributions.
Experiments on the same workload datasets reveal that acceptable transfer
learning performance can be achieved within the same provider (because
distributions are more similar). Also, domain knowledge does not transfer when
the source and target domains are very different (e.g. from different
providers), but this performance degradation can be mitigated by increasing the
training set size of the source domain. | [
-0.008962244726717472,
0.004766324069350958,
-0.036989785730838776,
0.014113158918917179,
0.05966763570904732,
-0.011295712552964687,
-0.05195854976773262,
0.014726774767041206,
-0.07861194014549255,
0.021104920655488968,
0.07321903109550476,
-0.020482661202549934,
-0.04908924922347069,
-0.00009412193321622908,
-0.015331747941672802,
-0.027310214936733246,
-0.0007248874753713608,
-0.008495551533997059,
0.06613220274448395,
-0.023403817787766457,
-0.001239114673808217,
-0.00797700323164463,
-0.007964039221405983,
-0.01158091425895691,
0.006970154587179422,
0.028399167582392693,
0.013119274750351906,
-0.007384993601590395,
-0.073011614382267,
0.04176042973995209,
0.043558064848184586,
0.01171055156737566,
-0.03088819980621338,
-0.012860000133514404,
-0.03837257996201515,
-0.019480135291814804,
0.023749517276883125,
0.02476932853460312,
-0.02928069978952408,
0.005392903462052345,
-0.02442362904548645,
-0.01925543136894703,
-0.002981653204187751,
-0.006313326768577099,
0.02317911386489868,
-0.06163812056183815,
-0.035088442265987396,
0.008836928755044937,
0.023455671966075897,
-0.0329105369746685,
-0.031164759770035744,
-0.06347032636404037,
0.008011572994291782,
-0.009195591323077679,
-0.06616677343845367,
0.06986575573682785,
0.03064621053636074,
0.011226573027670383,
0.03916769102215767,
0.03546871244907379,
0.032616693526506424,
0.050679463893175125,
-0.029816532507538795,
-0.01764793135225773,
0.007989966310560703,
0.02568543143570423,
0.02919427491724491,
0.00935115572065115,
-0.009247446432709694,
-0.03367107734084129,
-0.026757096871733665,
0.024233495816588402,
0.025460725650191307,
-0.020275242626667023,
-0.010077123530209064,
0.03481188416481018,
-0.010500605218112469,
-0.020949356257915497,
0.010051196441054344,
0.013197056949138641,
0.017665214836597443,
0.06229494884610176,
-0.02964368276298046,
0.012903212569653988,
0.04919295758008957,
0.027949759736657143,
0.007527594454586506,
-0.06423085927963257,
0.032426558434963226,
-0.019929543137550354,
-0.010319112800061703,
-0.0012726042186841369,
0.044768013060092926,
-0.00814985204488039,
-0.03529586270451546,
0.09714139997959137,
-0.01885787770152092,
-0.005600322969257832,
0.0012412752257660031,
-0.019773978739976883,
-0.011935255490243435,
0.019531989470124245,
0.009022742509841919,
-0.006045409943908453,
0.034639034420251846,
-0.04781016334891319,
-0.03436247259378433,
0.0303350817412138,
-0.0012002234579995275,
0.08199978619813919,
0.028917716816067696,
0.009273373521864414,
0.022435860708355904,
0.008944960311055183,
-0.037992313504219055,
0.0006724924314767122,
-0.017172595486044884,
-0.035676129162311554,
-0.004072765354067087,
-0.04373091459274292,
0.03289325535297394,
0.04449145123362541,
0.00453729834407568,
0.00847394485026598,
0.012246385216712952,
0.0316833071410656,
0.02212473191320896,
-0.011641412042081356,
0.0479484423995018,
0.013015564531087875,
-0.01401809137314558,
0.01935913972556591,
-0.07598462700843811,
-0.05137086287140846,
-0.018978871405124664,
0.015815725550055504,
0.05510440841317177,
0.02753492072224617,
-0.005764529574662447,
-0.035883549600839615,
0.03626381978392601,
-0.026342259719967842,
-0.01785534992814064,
-0.0006055132835172117,
0.02207287773489952,
0.018287474289536476,
-0.03230556473135948,
0.0640234425663948,
-0.014968764036893845,
0.0049823857843875885,
-0.043661776930093765,
0.05551924929022789,
0.026601532474160194,
0.04030849412083626,
-0.002947083441540599,
-0.036782365292310715,
0.003348958445712924,
-0.026757096871733665,
-0.03930597007274628,
0.015772514045238495,
-0.026618817821145058,
0.013430403545498848,
0.004679899197071791,
0.060151614248752594,
-0.015452742576599121,
0.015763871371746063,
0.060912150889635086,
-0.018840592354536057,
-0.09797108173370361,
0.03206357732415199,
-0.027050942182540894,
-0.008858535438776016,
-0.006805947981774807,
0.008988172747194767,
-0.061015862971544266,
0.0896051675081253,
0.028122607618570328,
-0.02020610310137272,
-0.031579598784446716,
0.05596865713596344,
-0.006062695290893316,
0.05752430111169815,
0.01371560525149107,
0.001964002149179578,
0.029418978840112686,
0.010275901295244694,
0.053859893232584,
0.02331739291548729,
0.02307540364563465,
-0.01685282215476036,
0.03486373648047447,
0.0020666313357651234,
0.0795798972249031,
-0.021277768537402153,
0.02782876417040825,
-0.05430930107831955,
-0.006836196407675743,
0.05818112939596176,
-0.0031609847210347652,
0.002097960328683257,
-0.05676376447081566,
-0.07999473065137863,
-0.018218334764242172,
0.007670195307582617,
0.005574395414441824,
0.01387116964906454,
0.04217527061700821,
0.012730362825095654,
0.03647123649716377,
-0.03896027058362961,
0.02888314612209797,
0.006291720550507307,
-0.07792054116725922,
0.03349822759628296,
-0.03771575540304184,
0.014614422805607319,
0.018218334764242172,
0.0402393564581871,
-0.024994032457470894,
-0.03144131973385811,
-0.012618010863661766,
0.014597137458622456,
0.034932877868413925,
0.018944300711154938,
-0.005112023092806339,
-0.012315524742007256,
0.031078334897756577,
0.00862950924783945,
-0.012566156685352325,
0.014260080642998219,
0.023300107568502426,
0.028865860775113106,
0.009031384252011776,
-0.045563120394945145,
0.05081774294376373,
0.0020698723383247852,
0.0055916802957654,
0.016472553834319115,
-0.036332957446575165,
0.005513898096978664,
-0.017267661169171333,
-0.004107335582375526,
-0.03244384378194809,
-0.03826887160539627,
0.010621599853038788,
-0.03225371241569519,
0.010077123530209064,
0.05538097023963928,
0.010984583757817745,
-0.018391182646155357,
-0.03318709880113602,
-0.023490242660045624,
-0.004468158818781376,
0.013326694257557392,
0.007423884700983763,
0.007553521543741226,
0.015219395980238914,
0.03375750035047531,
0.02326553873717785,
-0.04231354966759682,
0.03961709886789322,
0.02877943590283394,
-0.04763731360435486,
0.04660021513700485,
-0.002806643256917596,
0.03185615688562393,
0.06754957139492035,
0.04853612929582596,
0.008707292377948761,
0.00960178766399622,
-0.019272714853286743,
-0.03043879196047783,
-0.026601532474160194,
-0.015539167448878288,
-0.01710345409810543,
-0.012548871338367462,
0.02677438221871853,
-0.02381865680217743,
0.0006309005548246205,
0.04404204338788986,
0.011926612816751003,
0.007938112132251263,
0.04414575546979904,
-0.02136419340968132,
-0.06423085927963257,
0.002519280882552266,
-0.013585967943072319,
-0.05182027071714401,
-0.05728231370449066,
-0.029972096905112267,
-0.031614165753126144,
-0.01991225779056549,
-0.01980854943394661,
0.05005720630288124,
0.02336924709379673,
-0.01343904621899128,
-0.012946425005793571,
0.011304355226457119,
0.01965298503637314,
0.01341311912983656,
-0.006728165317326784,
-0.020880214869976044,
0.0406196266412735,
0.017993628978729248,
0.024458199739456177,
-0.013326694257557392,
0.0015081115998327732,
0.022107446566224098,
0.023386532440781593,
0.006875087507069111,
-0.015591021627187729,
0.006957191042602062,
-0.022833414375782013,
-0.07515494525432587,
-0.0007594573544338346,
0.09831677377223969,
0.028848575428128242,
0.005587358959019184,
-0.018927017226815224,
-0.022556856274604797,
0.01846032403409481,
0.0556575283408165,
-0.12362194061279297,
0.059805914759635925,
0.023593952879309654,
-0.05036833509802818,
0.02257413975894451,
0.07038430124521255,
0.006581243593245745,
-0.028001613914966583,
-0.026445968076586723,
-0.02758677490055561,
-0.07868107408285141,
-0.02513231337070465,
0.0547587126493454,
-0.004100853577256203,
-0.04570139944553375,
0.05029919371008873,
0.007838723249733448,
-0.028727581724524498,
0.009549933485686779,
0.00023901840904727578,
-0.06474941223859787,
0.021727178245782852,
0.05275365710258484,
-0.02587556466460228,
-0.05596865713596344,
0.007034973241388798,
-0.04227897897362709,
0.02587556466460228,
0.0009695774642750621,
-0.01951470412313938,
-0.007553521543741226,
-0.0073072114028036594,
0.015668803825974464,
-0.009869704954326153,
-0.020188817754387856,
-0.0005839071236550808,
-0.03737005591392517,
0.03263397887349129,
-0.05814656242728233,
-0.026808952912688255,
-0.049676936119794846,
0.015616949647665024,
-0.03268583491444588,
0.029315270483493805,
0.031717877835035324,
-0.0402393564581871,
-0.004913246259093285,
-0.033722929656505585,
-0.033532798290252686,
0.05099059268832207,
0.057697150856256485,
-0.00421104533597827,
-0.06022075563669205,
0.004485443700104952,
-0.03951338678598404,
0.027362070977687836,
-0.0415184423327446,
0.04335064813494682,
-0.011096935719251633,
0.03296239301562309,
-0.015098401345312595,
-0.0042456150986254215,
0.04971150681376457,
0.035987257957458496,
-0.003225803142413497,
0.015081115998327732,
-0.00020890479208901525,
0.03595269098877907,
0.010370967909693718,
-0.06796441227197647,
-0.0313030369579792,
-0.06153441220521927,
0.036678656935691833,
0.005410188343375921,
0.039236828684806824,
-0.01809733919799328,
0.013836599886417389,
0.00029843542142771184,
-0.021554328501224518,
0.02291983924806118,
0.008119603618979454,
0.04760274291038513,
-0.05054118484258652,
0.045666828751564026,
0.076606884598732,
-0.01254022866487503,
0.02136419340968132,
0.011148790828883648,
-0.03308338671922684,
-0.0052805510349571705,
-0.03982451558113098,
-0.02010239288210869,
0.03647123649716377,
0.01801091432571411,
-0.034379757940769196,
0.006391108967363834,
-0.04324693605303764,
-0.00020444851543288678,
-0.03550327941775322,
-0.0020126160234212875,
0.04494086280465126,
-0.0031588240526616573,
-0.03144131973385811,
0.05486242100596428,
0.011969825252890587,
-0.012566156685352325,
-0.026463253423571587,
-0.0266706719994545,
0.06786070019006729,
0.009212876670062542,
0.013577325269579887,
-0.01694788970053196,
-0.005492291878908873,
0.039547957479953766,
-0.002370198257267475,
0.04127645120024681,
-0.014631707221269608,
-0.031078334897756577,
-0.04552854970097542,
-0.02874486707150936,
-0.013603253290057182,
-0.019186289981007576,
-0.025115028023719788,
-0.033169813454151154,
0.015210753306746483,
-0.03674779832363129,
-0.04787930101156235,
-0.05752430111169815,
-0.03712806478142738,
0.005721317138522863,
-0.05417102202773094,
0.012695793062448502,
0.01609228551387787,
-0.011148790828883648,
0.001972644589841366,
-0.027413925155997276,
0.022401291877031326,
0.008383199572563171,
-0.014882339164614677,
0.0488472580909729,
0.004061962477862835,
-0.01685282215476036,
-0.03024865686893463,
0.023507528007030487,
-0.011520417407155037,
-0.05773172155022621,
0.0065121036022901535,
0.007765262387692928,
-0.02508045732975006,
0.013404476456344128,
0.007566485553979874,
0.022297581657767296,
0.013611895963549614,
0.017094811424613,
-0.009524005465209484,
-0.051681991666555405,
-0.031925298273563385,
-0.007160289213061333,
0.03775032237172127,
-0.009126451797783375,
0.02426806464791298,
-0.04532112926244736,
0.015141613781452179,
0.031026478856801987,
-0.04303951561450958,
0.018633171916007996,
-0.02463104948401451,
-0.012600726447999477,
-0.03484645113348961,
-0.05672919377684593,
-0.0018818986136466265,
-0.03837257996201515,
-0.0031285753939300776,
-0.025391586124897003,
0.025115028023719788,
0.015132971107959747,
0.0323919914662838,
0.005271908827126026,
-0.040550485253334045,
0.055899519473314285,
-0.04573597013950348,
0.015616949647665024,
0.005881203338503838,
0.011079651303589344,
-0.00850419420748949,
0.009670928120613098,
-0.04362720623612404,
0.008564691059291363,
-0.013655107468366623,
0.018183764070272446,
0.027362070977687836,
-0.029125135391950607,
0.010854946449398994,
0.06322833150625229,
0.05576123669743538,
-0.02964368276298046,
0.03761204332113266,
0.02547801099717617,
0.04694591462612152,
-0.005742923356592655,
0.03273769095540047,
0.03038693591952324,
-0.07107570022344589,
0.011243857443332672,
0.0313030369579792,
-0.003800527658313513,
0.05396360531449318,
-0.04594338685274124,
-0.04587424919009209,
0.02070736698806286,
-0.053790755569934845,
-0.03906397894024849,
0.0043860552832484245,
-0.0025819388683885336,
0.03234013542532921,
0.012401949614286423,
-0.010362325236201286,
-0.029920242726802826,
-0.007397957146167755,
0.02597927488386631,
0.014208226464688778,
0.004848427604883909,
0.022332150489091873,
-0.0025776177644729614,
0.052580807358026505,
-0.015107043087482452,
0.008015894331037998,
-0.02513231337070465,
-0.02673981338739395,
0.005742923356592655,
0.03951338678598404,
-0.019946828484535217,
-0.03550327941775322,
-0.007998608984053135,
-0.00932522863149643,
-0.02713736705482006,
-0.0017663055332377553,
-0.019722124561667442,
0.011252500116825104,
-0.0030918449629098177,
-0.017518293112516403,
0.01519346795976162,
-0.014744059182703495,
-0.045563120394945145,
0.01228959672152996,
0.06481855362653732,
0.015383603051304817,
0.025443442165851593,
0.007903541438281536,
0.0032582124695181847,
-0.06322833150625229,
0.0044206250458955765,
0.018667742609977722,
-0.0047922516241669655,
0.07605376839637756,
-0.024458199739456177,
0.019030725583434105,
0.005946021527051926,
0.00807639118283987,
-0.0009360879193991423,
0.02010239288210869,
0.04552854970097542,
0.06499139964580536,
-0.050126343965530396,
0.005215732846409082,
-0.01715531013906002,
0.012021680362522602,
-0.02542615681886673,
-0.00024955140543170273,
0.02473475970327854,
-0.04262467846274376,
-0.005129307974129915,
-0.015616949647665024,
-0.011727835983037949,
0.003876149421557784,
0.005773172248154879,
0.038338012993335724,
-0.04898554086685181,
-0.01814919337630272,
0.02131233923137188,
-0.010466035455465317,
0.022643281146883965,
-0.0007529754657298326,
0.04196785017848015,
0.03145860135555267,
0.0034418650902807713,
0.01720716431736946,
0.035140298306941986,
-0.01680096797645092,
0.012056250125169754,
0.033826641738414764,
-0.0207592211663723,
0.0075880917720496655,
0.00505152577534318,
0.04307408630847931,
0.030767206102609634,
-0.02772505395114422,
0.020724650472402573,
0.01785534992814064,
0.008158494718372822,
0.020396236330270767,
-0.00797700323164463,
-0.011529059149324894,
0.018166478723287582,
0.007868971675634384,
-0.036090970039367676,
0.009619073010981083,
-0.016360202804207802,
-0.03190801292657852,
0.00725967762991786,
0.014130444265902042,
-0.006365181412547827,
-0.011632769368588924,
-0.015219395980238914,
0.014346505515277386,
0.022435860708355904,
0.04386919364333153,
-0.05226967856287956,
-0.007670195307582617,
0.0021357713267207146,
-0.008815323002636433,
0.05932193621993065,
-0.0015048707136884332,
-0.01925543136894703,
-0.04269381985068321,
0.005202768836170435,
0.012220457196235657,
0.06875951588153839,
-0.003493719967082143,
0.019497420638799667,
-0.00670655956491828,
0.02864115685224533,
-0.05320306494832039,
-0.04635822772979736,
0.047015056014060974,
-0.012082178145647049,
0.015729300677776337,
0.022729704156517982,
0.013499543070793152,
-0.002374519594013691,
-0.024838468059897423,
-0.017622003331780434,
0.0679989829659462,
-0.028554731979966164,
-0.003061596304178238,
0.03685150668025017,
-0.022245725616812706,
0.030404221266508102,
0.019445564597845078,
-0.01680096797645092,
-0.03975537791848183,
0.03896027058362961,
0.03413777053356171,
-0.019151721149683,
0.006831875070929527,
0.04594338685274124,
-0.00022848538355901837,
-0.02437177486717701,
-0.037784893065690994,
0.013050135225057602,
0.03626381978392601,
0.0048570698127150536,
-0.0037141030188649893,
-0.012868642807006836,
-0.014208226464688778,
0.010198118165135384,
-0.006663347128778696,
-0.003361922223120928,
-0.02948811836540699,
-0.02732750028371811,
0.01541817281395197,
-0.01276493351906538,
0.005747244693338871,
-0.007436848245561123,
-0.02357666753232479,
0.04017021507024765,
0.03546871244907379,
0.01438971795141697,
-0.01158091425895691,
-0.029055995866656303,
-0.006334932986646891,
0.03837257996201515,
0.02864115685224533,
0.025789139792323112,
0.017129382118582726,
0.006909657269716263,
-0.07439441233873367,
0.02342110313475132,
-0.012808145955204964,
0.0015124328201636672,
-0.02508045732975006,
0.02010239288210869,
0.01534903235733509,
-0.006006518844515085,
0.021122204139828682,
-0.025858281180262566,
-0.017414584755897522,
0.018080053851008415,
-0.019497420638799667,
0.0012823269935324788,
0.02001596800982952,
-0.03396492078900337,
0.0017317356541752815,
0.0314931720495224,
0.01494283601641655,
0.01635156013071537,
-0.03674779832363129,
0.008439375087618828,
0.0052632661536335945,
-0.03109561838209629,
-0.05061032250523567,
0.004895961377769709,
0.06765328347682953,
-0.0032560518011450768,
0.00471446942538023,
0.038994841277599335,
-0.04725704342126846,
0.00452433479949832,
-0.010189476422965527,
-0.015374960377812386,
0.047671884298324585,
0.02020610310137272,
0.009653642773628235,
0.04618537798523903,
-0.05327220633625984,
0.007488703355193138,
0.0003791885101236403,
0.0365058071911335,
0.03806145116686821,
-0.013326694257557392,
-0.0010225126752629876,
-0.0420369915664196,
-0.07162881642580032,
0.053445056080818176,
-0.018062768504023552,
0.026618817821145058,
-0.011010510846972466,
0.011088293045759201,
0.003374885767698288,
0.01426872331649065,
0.031233899295330048,
0.0041051749140024185,
0.05697118490934372,
-0.007298568729311228,
-0.00308968429453671,
0.015582379885017872,
0.023282824084162712,
-0.027500350028276443,
0.0474298931658268,
-0.024060646072030067,
0.03664408624172211,
-0.05427473410964012,
0.04214069992303848,
0.049780648201704025,
0.004267221316695213,
-0.02687809243798256,
-0.000697879702784121,
0.01689603552222252,
-0.008875819854438305,
0.02497674711048603,
-0.021381478756666183,
0.008802358992397785,
-0.0556575283408165,
0.025616291910409927,
-0.008115282282233238,
-0.04518285021185875,
0.039236828684806824,
0.04269381985068321,
-0.06288263946771622,
0.02928069978952408,
0.0038156521040946245,
-0.0042477757669985294,
0.044353172183036804,
-0.011373494751751423,
-0.04428403452038765,
0.017414584755897522,
-0.02998938225209713,
-0.038891129195690155,
0.04404204338788986,
-0.017172595486044884,
0.005142271518707275,
0.02713736705482006,
-0.05282279849052429,
-0.019531989470124245,
0.00850419420748949,
-0.06153441220521927,
0.05050661414861679,
-0.004141905345022678,
0.01720716431736946,
-0.008227634243667126,
-0.01080309133976698,
0.014320578426122665,
0.049227528274059296,
-0.05496612936258316,
-0.06875951588153839,
0.07349559664726257,
-0.06122327968478203,
-0.057247743010520935,
-0.019946828484535217,
-0.0008723496575839818,
0.02065551094710827,
-0.02176174707710743,
-0.07909591495990753,
0.021588899195194244,
-0.04162215068936348,
-0.012064892798662186,
0.032927822321653366,
-0.026065699756145477,
0.01235873717814684,
0.034224193543195724,
-0.025391586124897003,
0.011883401311933994,
-0.04670392721891403,
0.04324693605303764,
-0.02933255396783352,
0.01371560525149107,
-0.038096021860837936,
0.02732750028371811,
-0.013611895963549614,
0.014156371355056763,
-0.03992822766304016,
-0.02833002805709839,
0.04380005598068237,
-0.011079651303589344,
-0.0009015179821290076,
0.010016626678407192,
-0.023403817787766457,
0.05627978593111038,
0.025789139792323112,
0.06239865720272064,
0.02165803872048855,
0.020880214869976044,
-0.022280296310782433,
-0.029902957379817963,
-0.005302157253026962,
0.0348983071744442,
0.024181639775633812,
0.0111833605915308,
0.019497420638799667,
0.014009449630975723,
-0.0035801446065306664,
0.006123192608356476,
0.015132971107959747,
0.013758817687630653,
0.005362654570490122,
-0.006412715185433626,
-0.0032560518011450768,
-0.038303442299366,
0.0034008133225142956,
0.005500934086740017,
0.0014486946165561676,
0.04231354966759682,
-0.01396623719483614,
0.00026886194245889783,
-0.004822500050067902,
-0.003614714602008462,
0.021174060180783272,
-0.07107570022344589,
0.0014594977255910635,
0.024596478790044785,
0.07474011182785034,
-0.024112500250339508,
0.04082704335451126,
-0.02181360311806202,
-0.03837257996201515,
0.009169664233922958,
-0.017941774800419807,
0.008556048385798931,
-0.0207592211663723,
0.010578387416899204,
0.0052805510349571705,
-0.023455671966075897,
-0.001962921814993024,
-0.006097265053540468,
-0.01925543136894703,
-0.003612553933635354,
-0.00306591740809381,
-0.02051723189651966,
-0.0005828267894685268,
-0.03069806471467018,
-0.02877943590283394,
-0.036125537008047104,
0.08580247312784195,
-0.011779691092669964,
0.003919361624866724,
-0.007942433468997478,
0.005876882001757622,
-0.003619035705924034,
-0.015158898197114468,
0.0007535156328231096,
0.018892446532845497,
0.0006136156152933836,
0.08096268773078918,
0.0074973455630242825,
-0.022781560197472572,
-0.01846032403409481,
0.009385726414620876,
-0.014147728681564331,
0.00532808480784297,
0.020085107535123825,
0.00784736592322588,
0.033722929656505585,
-0.006589885801076889,
0.011909328401088715,
0.04369634389877319,
-0.0008183341706171632,
-0.00415054801851511,
0.00276559148915112,
0.02196916751563549,
0.01980854943394661,
0.01544409990310669,
-0.009904274716973305,
0.014908266253769398,
0.009549933485686779,
-0.008396162651479244,
0.015124328434467316,
-0.0038134914357215166,
0.035278577357530594,
-0.0014919069362804294,
0.0006552074919454753,
-0.0042801848612725735,
0.04532112926244736,
-0.016239207237958908,
-0.018823307007551193,
0.043661776930093765,
0.03591812029480934,
-0.00935115572065115,
-0.0027202183846384287,
-0.0077955108135938644,
0.01775163970887661,
0.009333871304988861,
-0.02843373827636242,
-0.014052662067115307,
0.010249973274767399,
-0.012903212569653988,
-0.013983521610498428,
-0.001814919407479465,
0.01714666746556759,
0.001823561848141253,
0.004010107833892107,
-0.034984733909368515,
-0.007518951781094074,
-0.00727264117449522,
-0.006801626645028591,
-0.0602898932993412,
0.007756619714200497,
-0.02953997440636158,
0.003791885217651725,
0.018736882135272026,
-0.0497460775077343,
-0.041795000433921814,
0.019687553867697716,
-0.02126048505306244,
0.017181236296892166,
0.0009544531349092722,
0.0060410890728235245,
0.01532310526818037,
0.016213279217481613,
0.03465631976723671,
0.008936317637562752,
0.004336360841989517,
0.011347567662596703,
0.022556856274604797,
-0.008534442633390427,
0.04438774287700653,
-0.045010000467300415,
-0.0207592211663723,
-0.0039366465061903,
-0.02452733926475048,
-0.0031761089339852333,
0.04186414182186127,
-0.05821570008993149,
-0.0374046228826046,
-0.004887318704277277,
-0.029228845611214638,
-0.022798845544457436,
-0.00827084667980671,
0.003068078076466918,
-0.008344308473169804,
0.03515757992863655,
-0.0019942508079111576,
0.06730758398771286,
0.03581440821290016,
0.005539825651794672,
0.06893236935138702,
0.029609113931655884,
0.003463471308350563,
0.06506054103374481,
-0.011779691092669964,
-0.04462973400950432,
-0.004221848212182522,
0.008167137391865253,
-0.04698048532009125,
0.054343871772289276,
-0.05316849797964096,
-0.01809733919799328,
0.005721317138522863,
-0.059252798557281494,
0.022176586091518402,
0.005306478589773178,
0.007575127761811018,
-0.00333599466830492
] |
The prospect of informed and optimal decision-making regarding the operation
and maintenance (O&M) of structures provides impetus to the development of
structural health monitoring (SHM) systems. A probabilistic risk-based
framework for decision-making has already been proposed. However, in order to
learn the statistical models necessary for decision-making, measured data from
the structure of interest are required. Unfortunately, these data are seldom
available across the range of environmental and operational conditions
necessary to ensure good generalisation of the model.
Recently, technologies have been developed that overcome this challenge, by
extending SHM to populations of structures, such that valuable knowledge may be
transferred between instances of structures that are sufficiently similar. This
new approach is termed population-based structural heath monitoring (PBSHM).
The current paper presents a formal representation of populations of
structures, such that risk-based decision processes may be specified within
them. The population-based representation is an extension to the hierarchical
representation of a structure used within the probabilistic risk-based decision
framework to define fault trees. The result is a series, consisting of systems
of systems ranging from the individual component level up to an inventory of
heterogeneous populations. The current paper considers an inventory of wind
farms as a motivating example and highlights the inferences and decisions that
can be made within the hierarchical representation. | [
-0.02239963598549366,
0.010745640844106674,
-0.042943909764289856,
0.0071218861266970634,
0.08936662971973419,
-0.026438916102051735,
-0.020447641611099243,
0.008537566289305687,
-0.013006864115595818,
-0.0005511126946657896,
0.11309980601072311,
-0.013586664572358131,
0.0034449829254299402,
-0.012253123335540295,
-0.017964160069823265,
-0.026825450360774994,
-0.012243459932506084,
0.009054555557668209,
0.0601833201944828,
0.013557675294578075,
-0.0203123539686203,
0.008262161165475845,
-0.0533803254365921,
0.04642271623015404,
0.00582699803635478,
0.035812363028526306,
0.014485356397926807,
-0.00718469824641943,
-0.07900752127170563,
0.029879067093133926,
0.008682516403496265,
0.020872827619314194,
-0.06343020498752594,
-0.016244085505604744,
-0.0004285090253688395,
-0.009436258114874363,
-0.00932029727846384,
0.027173329144716263,
-0.012842587195336819,
0.026922082528471947,
-0.0038943286053836346,
-0.00006579379987670109,
-0.007832142524421215,
0.022225696593523026,
0.04700251668691635,
0.01289090421050787,
-0.026477569714188576,
0.03548380732536316,
-0.025955747812986374,
0.02149128168821335,
0.011509045958518982,
0.012079183012247086,
-0.013345081359148026,
0.011982549913227558,
-0.03936847299337387,
-0.025975074619054794,
0.06466711312532425,
0.06060850992798805,
0.04820077121257782,
0.014862226322293282,
0.029453879222273827,
0.033222585916519165,
-0.00517472205683589,
-0.010735977441072464,
0.007556736934930086,
-0.010803621262311935,
0.02404240518808365,
-0.022341657429933548,
0.00687063904479146,
-0.029009366407990456,
-0.025569215416908264,
0.014031179249286652,
0.02239963598549366,
0.027231309562921524,
0.028874078765511513,
0.07046512514352798,
0.06992397457361221,
0.02411971241235733,
0.0389239601790905,
0.040779322385787964,
0.062386564910411835,
0.04139777645468712,
-0.03842146694660187,
0.0038556752260774374,
0.011711975559592247,
0.007266836706548929,
0.008692179806530476,
-0.08573321253061295,
0.03687532991170883,
0.0012948884395882487,
-0.012137163430452347,
0.002252767561003566,
0.03333854675292969,
0.033667098730802536,
0.02154926210641861,
0.010523384436964989,
0.015393710695207119,
-0.010310790501534939,
0.011721638962626457,
0.002988389926031232,
-0.022728189826011658,
-0.014282425865530968,
0.03981298580765724,
0.0029352414421737194,
-0.009605366736650467,
-0.05001747980713844,
-0.018737228587269783,
0.05426935479044914,
0.018679248169064522,
0.16945643723011017,
-0.00012917176354676485,
0.013219458051025867,
0.034884680062532425,
0.062386564910411835,
-0.07054242491722107,
-0.0023783911019563675,
0.015355057083070278,
-0.07286163419485092,
0.04619079455733299,
0.0034691414330154657,
0.0275405365973711,
0.08094018697738647,
0.03219826892018318,
-0.05067458748817444,
-0.03546448051929474,
0.013055181130766869,
-0.011711975559592247,
-0.03583168983459473,
-0.006793332286179066,
0.012784607708454132,
-0.031966350972652435,
0.028004378080368042,
-0.06142022833228111,
-0.04190026968717575,
0.02783043682575226,
0.01773224025964737,
0.028951385989785194,
-0.016302065923810005,
-0.004505535122007132,
-0.031985677778720856,
-0.01685287617146969,
-0.056047409772872925,
0.006648382171988487,
0.031038668006658554,
0.061188310384750366,
-0.013721952214837074,
-0.04008356109261513,
0.043794285506010056,
-0.047582317143678665,
0.026980062946677208,
0.005488780792802572,
0.0429825633764267,
0.03851809725165367,
0.013692962005734444,
0.000216368367546238,
0.011122511699795723,
-0.016814222559332848,
0.027772458270192146,
-0.018785545602440834,
0.029937047511339188,
-0.028468217700719833,
-0.014224445447325706,
-0.025975074619054794,
0.05995140224695206,
0.019172079861164093,
0.004512782674282789,
-0.000692137167789042,
-0.06354616582393646,
-0.03142520412802696,
0.010851938277482986,
-0.011286788620054722,
-0.03538717329502106,
-0.05790277197957039,
0.032372210174798965,
-0.019674573093652725,
0.05303244665265083,
0.05461723357439041,
0.032294902950525284,
-0.013055181130766869,
0.023907119408249855,
-0.07970327883958817,
0.02750188298523426,
0.06006735935807228,
-0.005682047456502914,
0.022283677011728287,
0.06671573966741562,
0.09817960113286972,
0.020930808037519455,
-0.002350609051063657,
-0.02879677154123783,
0.03813156485557556,
0.019346019253134727,
0.07873694598674774,
-0.010929244570434093,
0.03600562736392021,
-0.036179568618535995,
-0.045920222997665405,
-0.06014466658234596,
-0.0380735844373703,
-0.00718469824641943,
-0.027733804658055305,
-0.0038266852498054504,
0.018688911572098732,
0.008682516403496265,
0.002026886912062764,
0.04874191805720329,
0.03770637884736061,
0.015393710695207119,
0.04580426216125488,
-0.04812346398830414,
0.026071708649396896,
-0.060724467039108276,
-0.017084795981645584,
0.021413976326584816,
-0.05461723357439041,
-0.0059622847475111485,
0.01644701510667801,
0.000700592587236315,
-0.005479117389768362,
0.010310790501534939,
0.06130427122116089,
-0.012958547100424767,
0.02926061302423477,
-0.0066000656224787235,
0.01144140213727951,
0.03981298580765724,
-0.03693331032991409,
0.04074066877365112,
-0.02205175720155239,
0.05457857996225357,
-0.013325754553079605,
0.044876579195261,
0.045456379652023315,
-0.0072330147959291935,
0.02578180842101574,
0.02025437355041504,
0.0027492220979183912,
0.007329648360610008,
-0.02454490028321743,
-0.05755488947033882,
-0.01780954748392105,
0.0283909123390913,
-0.016157114878296852,
-0.03393767401576042,
0.052220724523067474,
-0.002164589473977685,
-0.017509983852505684,
0.08812972158193588,
0.006092739757150412,
0.021085422486066818,
0.0010780671145766973,
-0.013799258507788181,
0.029473206028342247,
0.035812363028526306,
0.05272321775555611,
0.013074507936835289,
0.016736915335059166,
0.0008539982372894883,
0.0055612558498978615,
-0.02628430165350437,
0.03583168983459473,
0.004681891296058893,
-0.019346019253134727,
0.010649007745087147,
-0.021008115261793137,
0.03005300648510456,
0.049669601023197174,
-0.0082186758518219,
-0.007262005005031824,
0.018283050507307053,
-0.01984851434826851,
-0.01420511957257986,
-0.005981611553579569,
-0.02960849367082119,
0.022148389369249344,
-0.034556128084659576,
0.04936037212610245,
-0.05627932772040367,
-0.012127500027418137,
0.03517458215355873,
-0.03635350987315178,
-0.007334480062127113,
-0.07676562666893005,
0.007237846497446299,
-0.0390205942094326,
-0.06810726225376129,
-0.03300999104976654,
0.0076340436935424805,
-0.03691398352384567,
-0.02958916686475277,
-0.037860989570617676,
-0.019201070070266724,
-0.015731927007436752,
-0.0048171780072152615,
0.0004964544204995036,
0.022998765110969543,
-0.0035053789615631104,
-0.008146201260387897,
0.006928619462996721,
0.007406955119222403,
0.00590913649648428,
-0.020563600584864616,
-0.023076070472598076,
0.033667098730802536,
-0.0038677544798702,
-0.013161477632820606,
0.012552686966955662,
0.013219458051025867,
0.018766218796372414,
-0.039155878126621246,
-0.014214782975614071,
-0.020215719938278198,
-0.022650884464383125,
-0.04943767935037613,
0.012291776947677135,
0.06687035411596298,
-0.015345393680036068,
-0.011518708430230618,
0.00008712110866326839,
-0.01946198008954525,
0.004607000388205051,
0.012523696757853031,
-0.14788785576820374,
0.004032031167298555,
0.001414472353644669,
-0.04004490748047829,
0.007010757923126221,
0.03386036679148674,
-0.015847887843847275,
-0.033570464700460434,
-0.03521323576569557,
-0.0599900558590889,
0.03215961530804634,
-0.03921385854482651,
0.008764655329287052,
-0.05724566429853439,
0.021433303132653236,
-0.02535662055015564,
-0.04812346398830414,
0.02197444997727871,
0.010658671148121357,
-0.01739402301609516,
-0.034826699644327164,
-0.015867214649915695,
0.011267461813986301,
-0.009692336432635784,
-0.02790774405002594,
-0.0337250791490078,
-0.006203868426382542,
0.019761543720960617,
0.00116503715980798,
-0.018283050507307053,
0.011141838505864143,
0.009668177925050259,
0.048007503151893616,
0.002790291327983141,
0.04019952192902565,
-0.007179866544902325,
0.020930808037519455,
-0.03670138865709305,
0.06845514476299286,
-0.056472595781087875,
-0.041243162006139755,
-0.012514033354818821,
-0.026322955265641212,
0.0768042802810669,
-0.014388722367584705,
-0.030671460554003716,
0.02665150910615921,
-0.00019764562603086233,
-0.01990649290382862,
0.10668334364891052,
0.042170844972133636,
0.005701374262571335,
-0.008078557439148426,
0.04019952192902565,
0.014562662690877914,
0.00976481195539236,
-0.027656497433781624,
0.019558612257242203,
-0.030149640515446663,
0.005691710859537125,
0.0440262071788311,
-0.026825450360774994,
-0.039078570902347565,
0.008619705215096474,
0.04622944816946983,
0.0024810642935335636,
-0.012127500027418137,
0.07873694598674774,
0.03559976816177368,
-0.052182070910930634,
0.003529537236317992,
-0.014929870143532753,
0.04823942482471466,
-0.05531299486756325,
0.03645014390349388,
-0.04862595722079277,
0.002807202050462365,
-0.0037203882820904255,
0.03430487960577011,
-0.03165712207555771,
-0.009576376527547836,
0.07375065982341766,
-0.0063294917345047,
-0.011721638962626457,
0.02363654598593712,
-0.0054984441958367825,
-0.025259986519813538,
0.007179866544902325,
0.008126874454319477,
-0.021761855110526085,
-0.037416476756334305,
-0.028158990666270256,
-0.024448266252875328,
0.021278688684105873,
-0.11773820966482162,
0.04313717782497406,
-0.013876565732061863,
-0.008750160224735737,
-0.038363486528396606,
-0.002609103452414274,
0.026361608877778053,
0.051447656005620956,
-0.03304864466190338,
0.05160227045416832,
-0.004785772413015366,
-0.04220949858427048,
-0.03272009268403053,
-0.0026646677870303392,
0.046268101781606674,
0.0313672237098217,
-0.005711037665605545,
-0.027289289981126785,
0.008498912677168846,
0.016379371285438538,
-0.013016527518630028,
-0.016263412311673164,
-0.005769017618149519,
0.017017152160406113,
-0.025936421006917953,
0.0203123539686203,
-0.06393270194530487,
0.017500320449471474,
0.020408987998962402,
-0.02794639766216278,
0.0002127446059603244,
-0.04433543235063553,
-0.05314840376377106,
0.0032807060051709414,
-0.022283677011728287,
-0.0034836363047361374,
-0.05755488947033882,
0.03173442929983139,
-0.007010757923126221,
-0.010755304247140884,
0.01773224025964737,
-0.060685813426971436,
0.030149640515446663,
-0.0015690858708694577,
-0.006484105251729488,
0.09408234059810638,
0.01855362579226494,
-0.026825450360774994,
0.021085422486066818,
0.021703876554965973,
-0.013412725180387497,
0.006184541620314121,
0.01034944411367178,
0.03181173652410507,
-0.0028216971550136805,
-0.022940784692764282,
0.014862226322293282,
0.03813156485557556,
-0.02075686864554882,
-0.016582302749156952,
0.02149128168821335,
-0.03728118911385536,
0.051370348781347275,
0.0002503410796634853,
-0.007580895442515612,
0.002164589473977685,
-0.0023373218718916178,
-0.0063681453466415405,
-0.028120337054133415,
0.02628430165350437,
-0.0033604286145418882,
0.02247694320976734,
0.007131549529731274,
0.045495033264160156,
-0.03965837508440018,
-0.03393767401576042,
-0.04688655585050583,
-0.020988788455724716,
0.03341585025191307,
0.003529537236317992,
-0.03932981938123703,
-0.021742530167102814,
0.02585911564528942,
0.02960849367082119,
-0.0016488084802404046,
-0.030342906713485718,
0.007431113161146641,
-0.009402436204254627,
-0.029705125838518143,
0.014330742880702019,
0.00015408507897518575,
-0.02705737017095089,
0.04727309197187424,
-0.008455428294837475,
0.06064716354012489,
0.039928946644067764,
0.005300345364958048,
-0.022940784692764282,
0.004966959822922945,
0.033995650708675385,
0.020408987998962402,
-0.012311102822422981,
0.036102261394262314,
0.03606360778212547,
0.041281815618276596,
0.022129062563180923,
0.015548324212431908,
0.04707982391119003,
-0.03548380732536316,
0.010291463695466518,
-0.005483949091285467,
0.012330429628491402,
0.02661285549402237,
-0.03134789690375328,
0.0034377353731542826,
0.03652745112776756,
-0.022496270015835762,
0.005406642332673073,
-0.00007994909537956119,
-0.05442396551370621,
-0.014108485542237759,
0.020022453740239143,
-0.0195102971047163,
-0.016601629555225372,
0.01376060489565134,
0.033222585916519165,
0.011576688848435879,
-0.03163779526948929,
-0.017123449593782425,
0.02922195941209793,
0.03142520412802696,
-0.014504683203995228,
0.0054984441958367825,
-0.03163779526948929,
-0.03225624933838844,
0.005551592446863651,
0.014978187158703804,
0.0005939938127994537,
-0.04155239090323448,
-0.06667709350585938,
-0.018785545602440834,
-0.03550313413143158,
-0.008131706155836582,
-0.023539911955595016,
0.017664596438407898,
0.014929870143532753,
-0.03795762360095978,
0.014958860352635384,
-0.01641802489757538,
0.0009935128036886454,
0.027637170627713203,
0.05890775844454765,
-0.012514033354818821,
0.025202007964253426,
-0.0021005698945373297,
-0.017596954479813576,
-0.030768094584345818,
0.007020421326160431,
0.012233796529471874,
0.0074649350717663765,
0.06211598962545395,
-0.032797396183013916,
-0.049746908247470856,
-0.0559314489364624,
-0.014079495333135128,
-0.03080674819648266,
0.02458355389535427,
-0.016369707882404327,
0.007290994748473167,
0.031985677778720856,
0.009508732706308365,
-0.013519021682441235,
0.03177308291196823,
0.0027516379486769438,
0.014736603014171124,
0.017036478966474533,
0.01377026829868555,
-0.019983800128102303,
0.023791158571839333,
-0.020505620166659355,
0.015760917216539383,
-0.012601003982126713,
0.01139308512210846,
0.00634881854057312,
0.021471954882144928,
0.03387969359755516,
-0.0308454018086195,
0.057709503918886185,
0.0035536957439035177,
0.06126561760902405,
0.0028434395790100098,
-0.04190026968717575,
-0.02326933853328228,
0.02873879298567772,
-0.017964160069823265,
-0.036566101014614105,
0.030613481998443604,
-0.013808921910822392,
0.021375322714447975,
0.033686425536870956,
0.023810485377907753,
0.02705737017095089,
0.008131706155836582,
0.03900126740336418,
0.03853742405772209,
-0.00971649494022131,
0.0440262071788311,
-0.023559238761663437,
0.019780870527029037,
0.009528059512376785,
-0.02071821503341198,
-0.012601003982126713,
-0.005382483825087547,
-0.00867768470197916,
-0.034498147666454315,
0.004619079641997814,
0.007986756041646004,
-0.04050874710083008,
0.020563600584864616,
0.009856613352894783,
-0.012311102822422981,
0.04653867706656456,
0.02120138145983219,
0.006271511781960726,
0.017606617882847786,
0.010591027326881886,
-0.03341585025191307,
0.028468217700719833,
-0.0010478690965101123,
-0.015152127481997013,
-0.015731927007436752,
0.037068597972393036,
0.04568830132484436,
-0.01738435961306095,
-0.020157741382718086,
0.01160567905753851,
0.011354432441294193,
0.04012221470475197,
0.005421137437224388,
-0.0279657244682312,
-0.007890122011303902,
-0.04684790223836899,
-0.04491523280739784,
-0.013354744762182236,
-0.004730207845568657,
-0.004899316467344761,
0.018031803891062737,
0.007986756041646004,
-0.005749691277742386,
0.01902712881565094,
-0.00258252932690084,
-0.03001435473561287,
0.034942660480737686,
0.026303628459572792,
0.007721013855189085,
0.011769955977797508,
-0.03096136264503002,
0.03969702869653702,
0.013499694876372814,
-0.008798477239906788,
-0.03156048804521561,
0.037435803562402725,
0.010049880482256413,
-0.03631485626101494,
0.0028361922595649958,
-0.017084795981645584,
-0.013364408165216446,
0.013644644990563393,
-0.010764967650175095,
-0.004276030696928501,
0.029821086674928665,
-0.013335417956113815,
-0.017915844917297363,
-0.011895579285919666,
-0.01902712881565094,
0.00029699690639972687,
0.027405250817537308,
-0.02966647408902645,
0.029743779450654984,
-0.022109735757112503,
0.007406955119222403,
-0.00004061625440954231,
0.03416959196329117,
0.0356190949678421,
-0.01611846126616001,
0.01652432233095169,
-0.04170700162649155,
-0.010301127098500729,
0.0457269549369812,
0.01016584038734436,
-0.0024883116129785776,
-0.009252654388546944,
-0.04004490748047829,
-0.020138414576649666,
-0.0190851092338562,
0.02402307838201523,
-0.03639216348528862,
-0.009653682820498943,
0.0194136630743742,
0.015789907425642014,
0.022670211270451546,
-0.02236098423600197,
-0.028893405571579933,
-0.008397447876632214,
-0.011769955977797508,
-0.013287100940942764,
-0.06277310103178024,
0.00047410791739821434,
0.004003041423857212,
0.011277125217020512,
-0.002317995298653841,
-0.006479273550212383,
-0.029028693214058876,
0.01545169111341238,
0.04104989394545555,
-0.011586352251470089,
-0.02529864013195038,
0.022515596821904182,
0.03774503245949745,
0.028120337054133415,
0.00432917894795537,
0.0014325911179184914,
-0.01546135451644659,
-0.031077321618795395,
0.03378305956721306,
-0.01902712881565094,
0.04831673204898834,
-0.007315153256058693,
0.025569215416908264,
0.02365587279200554,
-0.019964473322033882,
-0.004394406918436289,
-0.04016086831688881,
-0.009180178865790367,
-0.006629055831581354,
-0.0014954028883948922,
0.03177308291196823,
-0.056859131902456284,
-0.03157981485128403,
0.021471954882144928,
0.014456366188824177,
-0.018012477084994316,
0.014697949402034283,
0.007721013855189085,
-0.06644517183303833,
0.05666586384177208,
0.01732637919485569,
0.07185664027929306,
0.0129198944196105,
-0.02415836602449417,
-0.033164605498313904,
-0.02580113522708416,
0.023481931537389755,
-0.03849877044558525,
0.02118205465376377,
0.028526198118925095,
0.017915844917297363,
-0.01039776112884283,
0.031038668006658554,
0.008262161165475845,
0.012349756434559822,
0.011499382555484772,
0.0321209616959095,
0.008001251146197319,
-0.019722890108823776,
0.0026743311900645494,
-0.03666273504495621,
0.01735536940395832,
-0.0044378917664289474,
0.0020993619691580534,
0.01393454521894455,
-0.02914465218782425,
-0.004307436756789684,
0.03378305956721306,
-0.01945231668651104,
0.0195102971047163,
-0.021723203361034393,
-0.016997825354337692,
0.02545325458049774,
0.051834188401699066,
0.0050394353456795216,
0.06192272529006004,
-0.04224815219640732,
0.027366597205400467,
0.001978570129722357,
-0.025569215416908264,
-0.014920206740498543,
0.026864102110266685,
-0.012079183012247086,
0.018911167979240417,
-0.02066023461520672,
-0.05597010254859924,
0.0013190468307584524,
-0.01904645562171936,
-0.05453992635011673,
-0.03007233329117298,
-0.00019840057939291,
-0.02079552225768566,
0.015760917216539383,
-0.02997570112347603,
-0.012311102822422981,
0.04785289242863655,
-0.051370348781347275,
-0.009349287487566471,
-0.07154741883277893,
-0.028178317472338676,
0.014601316303014755,
-0.014581989496946335,
-0.018804872408509254,
-0.0024073810782283545,
-0.021761855110526085,
0.019230058416724205,
0.05875314772129059,
0.001827580388635397,
0.031212609261274338,
0.0049911183305084705,
-0.036566101014614105,
0.004947633482515812,
-0.026767469942569733,
0.03082607500255108,
-0.01523909717798233,
0.025723828002810478,
0.004278446547687054,
0.005232702009379864,
0.007010757923126221,
-0.041668348014354706,
-0.032816722989082336,
0.003529537236317992,
-0.011808609589934349,
-0.0016355214174836874,
0.061149656772613525,
0.02326933853328228,
0.0019217979861423373,
-0.006020264700055122,
0.036140915006399155,
-0.033570464700460434,
-0.038730692118406296,
0.05411474034190178,
-0.014543335884809494,
-0.01770325005054474,
0.007609885185956955,
0.03567707538604736,
-0.02537594735622406,
0.0019858176819980145,
0.030536174774169922,
-0.010523384436964989,
-0.0373198427259922,
-0.00238080695271492,
-0.004793019965291023,
0.014639969915151596,
0.014910543337464333,
-0.026825450360774994,
-0.029434552416205406,
-0.03716523200273514,
0.0072330147959291935,
0.013267774134874344,
0.04537907615303993,
-0.023907119408249855,
0.045069847255945206,
-0.007044579368084669,
-0.006827154196798801,
0.0030028847977519035,
0.003046369878575206,
-0.006522758863866329,
-0.009639187715947628,
0.03082607500255108,
0.027211982756853104,
0.0018517387798056006,
0.045456379652023315,
-0.052607256919145584,
-0.011248135007917881,
-0.03376373276114464,
-0.008436101488769054,
-0.04951498657464981,
-0.007711350452154875,
0.026110362261533737,
-0.0052665239199995995,
-0.028429565951228142,
0.02489278092980385,
0.024718839675188065,
-0.0015521750319749117,
0.006933451164513826,
0.03583168983459473,
-0.015567651018500328,
0.0027661328203976154,
-0.05129304155707359,
-0.035348519682884216,
-0.03789964318275452,
0.04568830132484436,
-0.04027682915329933,
0.04986286908388138,
0.026922082528471947,
0.0129198944196105,
-0.010726314038038254,
-0.017113786190748215,
-0.007440776564180851,
0.04696386307477951,
-0.03558044135570526,
0.010040217079222202,
-0.0013033438008278608,
0.00258252932690084,
-0.04236410930752754,
-0.046268101781606674,
-0.014610979706048965,
-0.000367207161616534,
-0.015132800675928593,
-0.03772570565342903,
0.03969702869653702,
-0.01820574514567852,
0.034459494054317474,
0.047195784747600555,
0.02114340104162693,
0.037068597972393036,
-0.0040996745228767395,
-0.018495645374059677,
0.026767469942569733,
0.009156020358204842,
0.019162416458129883,
0.002322827000170946,
0.04437408596277237,
0.04135912284255028,
-0.0025438759475946426,
-0.051331695169210434,
-0.018379684537649155,
-0.025588540360331535,
-0.049669601023197174,
0.01271696388721466,
-0.009634356014430523,
0.0024532820098102093,
-0.0010303542949259281,
0.027695151045918465,
0.003418408799916506,
-0.0009216416510753334,
0.034459494054317474,
-0.0030367067083716393,
0.004785772413015366,
0.009561881422996521,
-0.03567707538604736,
-0.004164902493357658,
0.07054242491722107,
-0.003027043305337429,
0.013026190921664238,
-0.05202745646238327,
0.04305987060070038,
-0.017046142369508743,
-0.0048171780072152615,
-0.0846509113907814,
-0.01420511957257986,
0.0008860080852173269,
-0.006716025527566671,
-0.04700251668691635,
-0.019568275660276413,
-0.045881569385528564,
0.0025728659238666296,
0.015084483660757542,
-0.012629993259906769,
0.03469141200184822,
0.018543962389230728,
-0.03896261379122734,
-0.01605081744492054,
0.026535548269748688,
0.007682360243052244,
0.017635606229305267,
0.036218222230672836,
0.009054555557668209,
-0.017239410430192947,
0.0012224132660776377,
-0.022554250434041023,
0.01894982159137726,
-0.02489278092980385,
0.007117054425179958,
0.009383109398186207,
-0.007034915965050459,
-0.007788657210767269,
-0.03602495416998863,
-0.00033610325772315264,
0.05786411836743355,
-0.053882818669080734,
-0.006846481002867222,
-0.027714477851986885,
-0.001964075258001685,
-0.04939902573823929,
0.001093770028091967,
0.018456991761922836,
0.01821540854871273,
0.05314840376377106,
-0.027772458270192146,
0.0322175957262516,
-0.004143159836530685,
-0.0154710179194808,
0.0173360425978899,
0.027791785076260567,
-0.02493143454194069,
0.055119726806879044,
-0.006363313645124435,
-0.03594764694571495,
0.02966647408902645,
0.014108485542237759,
-0.01775156706571579,
-0.007242678198963404,
-0.06049254909157753,
0.009252654388546944,
0.007150876335799694,
-0.08542398363351822,
-0.0009693544125184417,
0.016224758699536324,
0.00803507212549448,
0.0014108485775068402
] |
In this paper, we present a demo of an intelligent personal agent called Hey
Dona (or just Dona) with virtual voice assistance in student course
registration. It is a deployed project in the theme of AI for education. In
this digital age with a myriad of smart devices, users often delegate tasks to
agents. While pointing and clicking supersedes the erstwhile command-typing,
modern devices allow users to speak commands for agents to execute tasks,
enhancing speed and convenience. In line with this progress, Dona is an
intelligent agent catering to student needs by automated, voice-operated course
registration, spanning a multitude of accents, entailing task planning
optimization, with some language translation as needed. Dona accepts voice
input by microphone (Bluetooth, wired microphone), converts human voice to
computer understandable language, performs query processing as per user
commands, connects with the Web to search for answers, models task
dependencies, imbibes quality control, and conveys output by speaking to users
as well as displaying text, thus enabling human-AI interaction by speech cum
text. It is meant to work seamlessly on desktops, smartphones etc. and in
indoor as well as outdoor settings. To the best of our knowledge, Dona is among
the first of its kind as an intelligent personal agent for voice assistance in
student course registration. Due to its ubiquitous access for educational
needs, Dona directly impacts AI for education. It makes a broader impact on
smart city characteristics of smart living and smart people due to its
contributions to providing benefits for new ways of living and assisting 21st
century education, respectively. | [
-0.030274568125605583,
-0.008268690668046474,
-0.03327767550945282,
-0.04236816242337227,
0.0490642786026001,
0.033399421721696854,
-0.008973811753094196,
0.025607576593756676,
-0.006477986462414265,
0.045006025582551956,
-0.03256748244166374,
-0.06696117669343948,
-0.0006562956259585917,
0.0021128279622644186,
-0.03264864534139633,
0.011647186242043972,
-0.00942529272288084,
-0.0009169115219265223,
-0.00929339975118637,
0.0021090232767164707,
-0.02069709077477455,
0.011068885214626789,
-0.019814420491456985,
0.029300587251782417,
0.0483337938785553,
0.03431253135204315,
0.0018033862579613924,
0.01328063290566206,
-0.0036245272494852543,
0.01332121528685093,
-0.028996217995882034,
0.013767623342573643,
-0.018434613943099976,
-0.028793305158615112,
-0.03408932685852051,
0.042611658573150635,
-0.02639893628656864,
0.001176259247586131,
0.009805753827095032,
0.04096806421875954,
0.007695462554693222,
-0.01140369102358818,
-0.01540107000619173,
0.008573059923946857,
0.013929953798651695,
-0.04155651107430458,
-0.020260827615857124,
0.014295196160674095,
-0.016293885186314583,
0.05194563791155815,
0.002174969995394349,
-0.03772146254777908,
0.029807869344949722,
0.029625248163938522,
-0.017115682363510132,
0.02390311099588871,
0.028367189690470695,
-0.0345357321202755,
0.03518505394458771,
-0.033886414021253586,
-0.008075923658907413,
0.014416944235563278,
-0.06253767758607864,
0.002228234661743045,
-0.0016524698585271835,
0.010876118205487728,
-0.02106233313679695,
0.029097674414515495,
-0.01475175004452467,
0.04171884059906006,
0.05080932751297951,
0.024856800213456154,
-0.02510029450058937,
-0.003266893792897463,
-0.022218935191631317,
-0.05182389169931412,
0.02058548852801323,
0.030355732887983322,
-0.03843165561556816,
-0.04145505651831627,
-0.01529961358755827,
-0.023314664140343666,
-0.006432331167161465,
-0.0657842829823494,
0.029544081538915634,
-0.05239204689860344,
0.02739320881664753,
-0.09764156490564346,
0.0007913593435660005,
0.014143011532723904,
-0.0294223353266716,
-0.0012453764211386442,
-0.003629600163549185,
0.030538354068994522,
-0.013524128124117851,
-0.0058185202069580555,
-0.05218913406133652,
-0.029665829613804817,
-0.020199954509735107,
-0.018799858167767525,
0.02731204219162464,
-0.028975926339626312,
0.010551458224654198,
-0.048130881041288376,
-0.020940585061907768,
-0.014214031398296356,
-0.04044049233198166,
-0.03281097486615181,
0.050322338938713074,
0.06931496411561966,
0.0014495572540909052,
-0.0014368752017617226,
-0.0044209593906998634,
0.010774661786854267,
-0.003173046512529254,
0.013757477514445782,
-0.012184904888272285,
-0.05567923188209534,
-0.023050878196954727,
-0.022908838465809822,
0.0018566508078947663,
-0.004202828276902437,
0.03621990978717804,
-0.013402380980551243,
-0.04330155998468399,
0.02002747915685177,
-0.003446978749707341,
-0.022320391610264778,
0.005356893874704838,
0.019641945138573647,
0.008872355334460735,
0.07024835795164108,
-0.03419078141450882,
0.04764389246702194,
0.009897064417600632,
0.015147429890930653,
0.04403204470872879,
-0.03621990978717804,
-0.011900827288627625,
0.029726702719926834,
-0.047481559216976166,
0.023517576977610588,
-0.03642282262444496,
0.03731563687324524,
-0.05251379311084747,
0.0030918815173208714,
-0.03199932351708412,
0.052270300686359406,
-0.04330155998468399,
0.04837437719106674,
-0.014122720807790756,
-0.027149712666869164,
0.011281943880021572,
-0.015938788652420044,
-0.0044311052188277245,
0.011048593558371067,
0.04317981377243996,
-0.012154468335211277,
-0.036361947655677795,
0.018992625176906586,
-0.023091459646821022,
-0.0075331320986151695,
0.00482171168550849,
-0.02040286734700203,
0.04080573469400406,
-0.0020671726670116186,
0.009587623178958893,
0.002195261185988784,
-0.05494874715805054,
0.05912874639034271,
-0.05458350479602814,
0.03291243314743042,
0.03658515214920044,
0.02382194623351097,
0.014863351359963417,
0.021102916449308395,
0.002443829318508506,
0.0562879703938961,
-0.06440447270870209,
-0.03615903481841087,
-0.034434277564287186,
0.08416816592216492,
0.060914378613233566,
0.00367779191583395,
0.04180000722408295,
0.033135637640953064,
0.0864407867193222,
-0.03447486087679863,
-0.0023322273045778275,
-0.017227284610271454,
-0.021346410736441612,
0.026175731793045998,
0.03548942133784294,
-0.008502040058374405,
-0.003708228701725602,
-0.07901418954133987,
0.0019695209339261055,
0.05405592918395996,
-0.02361903339624405,
-0.05673437938094139,
-0.0494295209646225,
-0.06610894203186035,
0.02903680130839348,
0.029949907213449478,
-0.004710109904408455,
0.07053244113922119,
-0.0035661899019032717,
0.03693010285496712,
0.00909555982798338,
-0.05478641763329506,
0.011505147442221642,
-0.010906554758548737,
0.012225487269461155,
0.017947623506188393,
0.0054329861886799335,
-0.007517913822084665,
0.0319790355861187,
-0.03484010323882103,
-0.02674388699233532,
-0.02952379174530506,
-0.0036498913541436195,
0.019510051235556602,
0.02114349789917469,
0.028286023065447807,
-0.07942001521587372,
-0.013453109189867973,
0.03550971299409866,
0.022137770429253578,
0.0031375368125736713,
-0.0035966266877949238,
-0.006883811671286821,
0.06773224472999573,
0.04585826024413109,
0.00959776807576418,
0.01864767260849476,
-0.005260510370135307,
0.02840777114033699,
0.0034089325927197933,
-0.033034179359674454,
0.044640783220529556,
-0.029929615557193756,
0.01135296281427145,
0.0035230708308517933,
-0.051702145487070084,
0.050160009413957596,
-0.03447486087679863,
0.007482403889298439,
0.01341252587735653,
0.008907865732908249,
0.004154636524617672,
-0.05949398875236511,
-0.0024844116996973753,
0.016385195776820183,
0.007670098450034857,
0.0033886414021253586,
0.046832241117954254,
0.07357612997293472,
-0.04386971518397331,
0.03936505317687988,
-0.0461423359811306,
0.014376361854374409,
-0.018982479348778725,
0.024775635451078415,
0.058601174503564835,
-0.02658155746757984,
-0.03439369425177574,
-0.02003762498497963,
-0.043260976672172546,
0.008811482228338718,
-0.012144322507083416,
-0.032019615173339844,
-0.04662932828068733,
0.006046797148883343,
0.025952529162168503,
0.0011179219000041485,
-0.03228340297937393,
0.016882332041859627,
0.07061360031366348,
0.05279787257313728,
0.011434127576649189,
0.012144322507083416,
-0.10600157082080841,
0.04890194907784462,
-0.04374796897172928,
-0.08514215052127838,
-0.016202574595808983,
-0.03279068320989609,
0.012053011916577816,
-0.03224281966686249,
0.005448204930871725,
0.011383399367332458,
-0.03577350080013275,
-0.03199932351708412,
-0.021630488336086273,
0.08384350687265396,
0.015380779281258583,
0.0014736531302332878,
-0.026987383142113686,
-0.028570100665092468,
-0.003512925235554576,
-0.03741709142923355,
-0.05791126936674118,
0.030822431668639183,
0.0024336837232112885,
-0.03538796678185463,
0.02150874026119709,
-0.008821627125144005,
0.014477817341685295,
0.021833401173353195,
0.024613304063677788,
0.06736700236797333,
0.021529031917452812,
-0.03802582994103432,
-0.014924225397408009,
0.05352835729718208,
0.06931496411561966,
0.027271460741758347,
-0.015340196900069714,
-0.04780622199177742,
-0.024653887376189232,
0.019621653482317924,
0.009318763390183449,
-0.07528059184551239,
0.04853670671582222,
-0.024653887376189232,
0.01820126548409462,
-0.00969415158033371,
-0.030964471399784088,
0.01563441939651966,
-0.004276384133845568,
-0.009684006683528423,
-0.03228340297937393,
0.018454905599355698,
0.01867811009287834,
0.007944030687212944,
-0.05600389093160629,
-0.03181670233607292,
-0.01791718788444996,
-0.012418254278600216,
0.03595612198114395,
-0.023781362920999527,
0.01324005052447319,
-0.0026302551850676537,
0.04074485972523689,
-0.008923083543777466,
-0.009014394134283066,
0.004494515247642994,
0.03587495535612106,
-0.0023702734615653753,
0.04054194688796997,
0.0012865930330008268,
-0.030477480962872505,
0.018911458551883698,
-0.00043721336987800896,
0.020737672224640846,
-0.05084991082549095,
-0.01802878826856613,
-0.049145445227622986,
-0.0497947633266449,
0.0223406832665205,
0.044356707483530045,
0.009531822055578232,
-0.02087971195578575,
0.015411215834319592,
-0.0494295209646225,
-0.059575155377388,
0.01828243024647236,
-0.015624274499714375,
-0.016050390899181366,
-0.028245441615581512,
-0.011941409669816494,
-0.0011172877857461572,
-0.018272284418344498,
-0.03591553866863251,
-0.029483208432793617,
0.020463740453124046,
0.007188180927187204,
-0.04145505651831627,
0.0018718692008405924,
0.029361460357904434,
0.08871341496706009,
-0.0013303461018949747,
-0.041049230843782425,
0.04220583289861679,
-0.004436177667230368,
0.03794466704130173,
0.06728583574295044,
-0.023416120558977127,
-0.006675826385617256,
0.06407981365919113,
0.01867811009287834,
0.01111961342394352,
-0.09131069481372833,
0.013798060826957226,
0.009927501901984215,
-0.0024717296473681927,
-0.01268204115331173,
-0.034515440464019775,
0.04585826024413109,
-0.029848450794816017,
-0.06087379530072212,
-0.010521020740270615,
-0.005260510370135307,
0.0036245272494852543,
-0.027697576209902763,
-0.02069709077477455,
-0.011819661594927311,
-0.008025195449590683,
0.0450466088950634,
0.016385195776820183,
-0.024795925244688988,
-0.03634165599942207,
-0.04382913187146187,
0.018454905599355698,
0.028001945465803146,
0.07065418362617493,
0.008628860116004944,
0.012397962622344494,
-0.0041723912581801414,
-0.005569952540099621,
-0.015847478061914444,
0.0551922433078289,
0.01328063290566206,
0.04228699579834938,
-0.01356471050530672,
0.04115068539977074,
0.02970641292631626,
-0.025080004706978798,
-0.035428550094366074,
-0.02820485830307007,
-0.02042315900325775,
0.011697914451360703,
0.020341994240880013,
-0.05137748271226883,
-0.005113398656249046,
-0.008710025809705257,
0.004900340456515551,
0.03260806202888489,
0.017024371773004532,
0.047846805304288864,
-0.030720975250005722,
-0.03743738308548927,
0.012184904888272285,
0.006127961911261082,
-0.09187884628772736,
-0.016872186213731766,
-0.019641945138573647,
0.011068885214626789,
0.04070427641272545,
-0.03272981196641922,
-0.05117456987500191,
0.0152590312063694,
-0.05563864856958389,
-0.03565175458788872,
-0.009389783255755901,
-0.03977087885141373,
0.01895204186439514,
-0.01158631220459938,
0.012813934125006199,
-0.05604447424411774,
-0.0005773499142378569,
0.0347183533012867,
0.026338063180446625,
0.016395341604948044,
-0.006493204738944769,
0.04780622199177742,
-0.003401323454454541,
-0.1169588565826416,
0.013757477514445782,
0.05332544445991516,
0.05332544445991516,
-0.01947961375117302,
0.01590835116803646,
0.016324322670698166,
-0.04009554162621498,
-0.0148024782538414,
0.01699393428862095,
0.010835535824298859,
0.021305829286575317,
0.012012428604066372,
-0.014630001969635487,
-0.016202574595808983,
0.007893302477896214,
-0.01126165222376585,
0.02223922684788704,
-0.004235801752656698,
0.037559133023023605,
0.007147598080337048,
-0.02418718859553337,
-0.010353618301451206,
-0.022503012791275978,
-0.0031299276743084192,
0.006746845785528421,
-0.0029701339080929756,
-0.004448859952390194,
-0.042692821472883224,
-0.00781720969825983,
-0.024227770045399666,
0.00984126329421997,
0.03007165528833866,
-0.03536767512559891,
0.007416457403451204,
-0.012631312943994999,
0.012397962622344494,
-0.028752723708748817,
0.05044408515095711,
0.020433304831385612,
-0.02380165457725525,
0.048212047666311264,
0.07256156206130981,
0.0624970979988575,
0.03530680015683174,
0.031857285648584366,
-0.007233836222440004,
0.004672063980251551,
0.02692650817334652,
-0.010328253731131554,
0.04386971518397331,
0.05117456987500191,
0.03640253096818924,
0.03502272441983223,
0.015289468690752983,
0.032689228653907776,
0.017156265676021576,
-0.036361947655677795,
0.021529031917452812,
0.0402984544634819,
-0.006970049813389778,
-0.014782186597585678,
-0.00453002518042922,
-0.022218935191631317,
0.017967915162444115,
0.0005519858095794916,
-0.028103401884436607,
-0.012205195613205433,
0.014822768978774548,
0.05494874715805054,
0.031106509268283844,
0.008131724782288074,
-0.046466998755931854,
-0.0472380667924881,
0.05450233817100525,
0.008431021124124527,
-0.00936949159950018,
-0.003984697163105011,
-0.01319946814328432,
0.01590835116803646,
-0.06744816899299622,
-0.005275729112327099,
0.01502568181604147,
0.03987233713269234,
0.008989030495285988,
-0.0624970979988575,
-0.0008040413958951831,
0.0028154130559414625,
-0.013493691571056843,
-0.06403923034667969,
-0.014143011532723904,
-0.004641626961529255,
-0.013696604408323765,
-0.002602354856207967,
-0.009044831618666649,
0.01802878826856613,
0.015441653318703175,
0.008816555142402649,
0.007249054498970509,
0.02122466266155243,
0.04257107526063919,
0.014893788844347,
0.00370061956346035,
-0.038938939571380615,
-0.032770391553640366,
0.00781720969825983,
-0.026053983718156815,
-0.0007647270685993135,
0.017714275047183037,
-0.03025427646934986,
-0.0472380667924881,
0.007517913822084665,
0.008065777830779552,
0.032668936997652054,
0.016517089679837227,
0.009673860855400562,
-0.010110123082995415,
0.026784470304846764,
0.025627868250012398,
0.016983788460493088,
-0.00473040109500289,
-0.02499883808195591,
-0.03528650850057602,
0.021366702392697334,
-0.01995646022260189,
0.013037137687206268,
0.004337258171290159,
0.018962187692523003,
-0.00645769527181983,
0.030294859781861305,
0.021650779992341995,
0.03402845188975334,
-0.07913593202829361,
-0.010008666664361954,
0.021995730698108673,
0.041962336748838425,
0.03802582994103432,
-0.056856125593185425,
0.028448354452848434,
0.04293631762266159,
0.01784616708755493,
0.022036314010620117,
0.022929130122065544,
0.01460971124470234,
-0.006635243538767099,
0.05466466769576073,
-0.0031476824078708887,
0.042895734310150146,
-0.022766798734664917,
0.024958256632089615,
0.02426835335791111,
-0.0217928197234869,
-0.006488132290542126,
-0.03628078103065491,
-0.03567204251885414,
0.01866796426475048,
-0.010231870226562023,
-0.01563441939651966,
0.020798547193408012,
0.0017247576033696532,
-0.030193403363227844,
0.0011813320452347398,
-0.021305829286575317,
0.016060536727309227,
-0.013128448277711868,
-0.009110777638852596,
-0.033399421721696854,
0.02518145926296711,
-0.004760838113725185,
0.0021191691048443317,
-0.001949229626916349,
0.04403204470872879,
-0.04023757949471474,
-0.029726702719926834,
-0.01540107000619173,
-0.01520830299705267,
0.12158526480197906,
-0.02066665329039097,
0.040866609662771225,
0.027900489047169685,
-0.014741604216396809,
0.03429223969578743,
0.032039906829595566,
0.031126800924539566,
-0.013209613971412182,
0.033703792840242386,
0.019641945138573647,
0.006143180653452873,
-0.018881022930145264,
0.012103740125894547,
-0.0486990362405777,
0.032851558178663254,
0.024958256632089615,
-0.003535752883180976,
-0.029848450794816017,
0.02783961594104767,
-0.0028610683511942625,
0.019611507654190063,
-0.03837078437209129,
0.02950350008904934,
0.02822514995932579,
0.0305180624127388,
0.0686250627040863,
-0.006589588243514299,
-0.0225233044475317,
-0.04415379464626312,
-0.02609456703066826,
0.005443132016807795,
-0.008978884667158127,
0.011058739386498928,
0.021346410736441612,
-0.02207689732313156,
-0.0035332166589796543,
-0.05332544445991516,
-0.023923402652144432,
-0.028651267290115356,
0.01149500161409378,
0.06294350326061249,
-0.008365074172616005,
-0.029584664851427078,
0.04634524881839752,
-0.012367526069283485,
0.01912451721727848,
-0.03475893661379814,
0.006224345415830612,
0.05580097809433937,
0.07613282650709152,
-0.03593583032488823,
0.0023499822709709406,
-0.0006068356451578438,
-0.014954662881791592,
0.007700535003095865,
-0.05783010646700859,
-0.02481621690094471,
-0.010713787749409676,
-0.0334400050342083,
0.005493860226124525,
0.06623069196939468,
0.04533068835735321,
-0.0033861049450933933,
0.03475893661379814,
-0.04910486191511154,
0.005990996025502682,
0.021102916449308395,
-0.025323498994112015,
0.030761558562517166,
0.034596607089042664,
0.03272981196641922,
0.023497285321354866,
0.009714443236589432,
-0.03189786896109581,
-0.01855636201798916,
0.025871362537145615,
-0.011373254470527172,
0.014193739742040634,
0.04707573354244232,
-0.016334468498826027,
-0.00951660331338644,
-0.014680730178952217,
0.0053873308934271336,
-0.017440343275666237,
-0.005367039702832699,
-0.004943459294736385,
-0.023334955796599388,
-0.04317981377243996,
0.004030352458357811,
-0.0021737017668783665,
-0.012093594297766685,
-0.02150874026119709,
0.05783010646700859,
0.022482721135020256,
-0.00923252571374178,
0.07114117592573166,
0.0019517660839483142,
-0.03906068578362465,
0.04520893841981888,
0.03218194842338562,
-0.0015434044180437922,
0.014173449017107487,
0.008258544839918613,
0.028346898034214973,
0.029746994376182556,
-0.02528291568160057,
0.04423495754599571,
-0.03206019848585129,
0.020169517025351524,
-0.057140201330184937,
-0.04088690131902695,
0.016608400270342827,
-0.0025059713516384363,
0.024207480251789093,
-0.027251169085502625,
-0.02749466523528099,
0.010186214931309223,
0.03419078141450882,
-0.030680393800139427,
0.02278709039092064,
0.019327430054545403,
-0.050606414675712585,
-0.0019302066648378968,
0.02572932466864586,
0.00547356903553009,
-0.006569297052919865,
0.0476033091545105,
0.014640147797763348,
0.031755831092596054,
-0.03283126652240753,
0.03421107307076454,
-0.017247576266527176,
0.027880199253559113,
-0.018221555277705193,
-0.032202236354351044,
-0.016973642632365227,
-0.005620680283755064,
0.01322990469634533,
-0.021468158811330795,
-0.0038908501155674458,
0.0038629495538771152,
-0.034596607089042664,
-0.0033277675975114107,
0.002172433538362384,
0.03244573250412941,
0.010257234796881676,
0.012742914259433746,
0.007548350840806961,
-0.016780875623226166,
-0.028549810871481895,
0.058682337403297424,
-0.021204372867941856,
0.03766058757901192,
-0.010784807614982128,
-0.001199087011627853,
-0.021569615229964256,
0.07357612997293472,
-0.014995245262980461,
-0.006564224138855934,
0.048212047666311264,
0.01690262369811535,
0.013858933933079243,
-0.009308617562055588,
-0.016040245071053505,
-0.01774471066892147,
0.04484369605779648,
0.025404663756489754,
-0.012235633097589016,
-0.05056583136320114,
0.031086217612028122,
0.02867155708372593,
0.0037589569110423326,
-0.05214855074882507,
-0.02077825553715229,
-0.047197483479976654,
-0.05604447424411774,
0.0024146605283021927,
0.004951068665832281,
0.03155291825532913,
0.021488450467586517,
-0.01529961358755827,
0.002881359774619341,
0.044437870383262634,
0.0012745450949296355,
-0.00799983087927103,
-0.004243410658091307,
0.035428550094366074,
0.06489146500825882,
-0.019997041672468185,
-0.014528545551002026,
-0.011981992051005363,
0.02463359571993351,
0.018069371581077576,
0.05028175562620163,
-0.00010098075290443376,
0.029077382758259773,
-0.009070195257663727,
0.023761071264743805,
0.008446238934993744,
0.013909662142395973,
-0.006452622357755899,
-0.004187610000371933,
-0.03242544084787369,
-0.0435856394469738,
0.0041825370863080025,
-0.012905244715511799,
0.021468158811330795,
0.026419227942824364,
0.0472380667924881,
0.00043467694194987416,
0.03171524778008461,
0.03206019848585129,
0.008735389448702335,
0.01737946830689907,
0.062010105699300766,
-0.018789712339639664,
0.02003762498497963,
-0.01947961375117302,
0.0008541354327462614,
-0.022218935191631317,
-0.021650779992341995,
-0.05084991082549095,
0.004981505684554577,
-0.033155929297208786,
-0.03611845150589943,
-0.0479685515165329,
-0.0334400050342083,
-0.017967915162444115,
-0.03457631543278694,
-0.006924394052475691,
0.0023017905186861753,
0.042692821472883224,
-0.024430682882666588,
-0.0014584347372874618,
0.008628860116004944,
-0.017785293981432915,
-0.00650335056707263,
0.024958256632089615,
-0.025688741356134415,
-0.02132611908018589,
0.04853670671582222,
-0.04062311351299286,
-0.011637040413916111,
-0.014548837207257748,
0.037559133023023605,
-0.027149712666869164,
0.01968252658843994,
0.029381752014160156,
0.014741604216396809,
-0.0319790355861187,
0.022665344178676605,
-0.004471687600016594,
-0.059534572064876556,
0.012195050716400146,
-0.031573209911584854,
0.01931728422641754,
0.02223922684788704,
-0.046832241117954254,
-0.011383399367332458,
0.013980682007968426,
-0.007325146812945604,
0.05141806602478027,
0.02040286734700203,
-0.009491239674389362,
0.0008268690435215831,
-0.03757942467927933,
-0.06079263240098953,
-0.00936949159950018,
0.042246412485837936,
0.017024371773004532,
0.000017348635083180852,
-0.02223922684788704,
-0.017125828191637993,
0.015522818081080914,
0.056206803768873215,
0.011637040413916111,
0.04200292006134987,
-0.004235801752656698,
-0.015248885378241539,
0.015928642824292183,
-0.03254719078540802,
-0.00482678459957242,
0.0059301224537193775,
0.028935344889760017,
-0.02014922723174095,
-0.02747437357902527,
-0.02207689732313156,
0.062456514686346054,
-0.008405656553804874,
0.015918496996164322,
0.05762719362974167,
0.004459005314856768,
0.0016626155702397227,
0.06302466988563538,
-0.017886750400066376,
0.0022193570621311665,
-0.011961701326072216,
0.013534273952245712,
-0.01646636240184307,
-0.0223406832665205,
0.005945340730249882,
-0.023700198158621788,
0.0010481707286089659,
0.026540974155068398,
0.05113399028778076,
0.017349032685160637,
-0.02343641221523285,
-0.0038274398539215326,
0.012387817725539207,
-0.05056583136320114,
-0.01911437138915062,
-0.0024603158235549927,
-0.019236119464039803,
-0.003535752883180976,
-0.0037817845586687326,
0.04366680234670639,
-0.02058548852801323,
0.010683351196348667,
-0.022563887760043144,
0.003485024906694889,
-0.004119127057492733,
-0.006325801834464073,
-0.011018157005310059,
-0.005075352732092142,
-0.015654711052775383,
0.006447549443691969,
0.03210078179836273,
-0.01313859410583973,
0.00017406101687811315,
0.0059098307974636555,
-0.027190295979380608,
-0.04731922969222069,
-0.04013612121343613,
-0.033054471015930176,
-0.05365010350942612,
-0.016151847317814827,
0.033521171659231186,
-0.07974467426538467,
0.01300670113414526,
0.04606117308139801,
-0.013838643208146095,
-0.026236606761813164,
0.034698065370321274,
-0.03530680015683174,
0.0035712625831365585,
0.010252161882817745,
-0.01157616637647152,
0.020433304831385612,
0.000168988190125674,
-0.01502568181604147,
0.01784616708755493,
0.015735875815153122,
0.015380779281258583,
0.011048593558371067,
0.01865781843662262,
0.0497947633266449,
-0.020108643919229507,
-0.01093699224293232,
-0.029949907213449478,
0.063227578997612,
0.00473040109500289,
0.062010105699300766,
0.024024857208132744,
-0.025019129738211632,
-0.02970641292631626,
0.05186447501182556,
0.038756318390369415,
0.021650779992341995,
0.008248399011790752,
0.02832660637795925,
-0.0016207648441195488,
0.025607576593756676,
-0.03794466704130173,
0.0062598553486168385,
-0.01849548891186714,
-0.020798547193408012,
0.03660544380545616,
0.013169031590223312,
-0.005209782160818577,
0.04549301788210869
] |
Knowledge Graph Embeddings (KGE) have become a quite popular class of models
specifically devised to deal with ontologies and graph structure data, as they
can implicitly encode statistical dependencies between entities and relations
in a latent space. KGE techniques are particularly effective for the biomedical
domain, where it is quite common to deal with large knowledge graphs underlying
complex interactions between biological and chemical objects. Recently in the
literature, the PharmKG dataset has been proposed as one of the most
challenging knowledge graph biomedical benchmark, with hundreds of thousands of
relational facts between genes, diseases and chemicals. Despite KGEs can scale
to very large relational domains, they generally fail at representing more
complex relational dependencies between facts, like logic rules, which may be
fundamental in complex experimental settings. In this paper, we exploit logic
rules to enhance the embedding representations of KGEs on the PharmKG dataset.
To this end, we adopt Relational Reasoning Network (R2N), a recently proposed
neural-symbolic approach showing promising results on knowledge graph
completion tasks. An R2N uses the available logic rules to build a neural
architecture that reasons over KGE latent representations. In the experiments,
we show that our approach is able to significantly improve the current
state-of-the-art on the PharmKG dataset. Finally, we provide an ablation study
to experimentally compare the effect of alternative sets of rules according to
different selection criteria and varying the number of considered rules. | [
-0.014639085158705711,
-0.011781426146626472,
-0.03194759786128998,
0.0011422079987823963,
0.049555569887161255,
-0.05752963572740555,
0.005569868255406618,
0.0020427126437425613,
-0.021321214735507965,
-0.015075433999300003,
0.049932029098272324,
-0.026078276336193085,
0.012782461941242218,
-0.014296850189566612,
-0.0169833917170763,
0.0563318133354187,
-0.04212907701730728,
-0.01892557367682457,
-0.03911741450428963,
-0.03448013588786125,
-0.014690419659018517,
0.03454858437180519,
0.0678308978676796,
0.025325359776616096,
0.06981585919857025,
0.0035956022329628468,
0.010087364353239536,
0.04253976047039032,
-0.0306128840893507,
0.07296441495418549,
0.039630766957998276,
-0.008025401271879673,
0.058522116392850876,
-0.018942685797810555,
-0.035113271325826645,
0.020174728706479073,
0.06892605125904083,
0.017205843701958656,
-0.006100331898778677,
0.000011480232387839351,
0.05024003982543945,
0.04832352325320244,
-0.024418437853455544,
0.01675238274037838,
0.024281544610857964,
0.015280774794518948,
0.013638048432767391,
-0.029363729059696198,
-0.024863343685865402,
-0.07091100513935089,
-0.014664752408862114,
0.008320578373968601,
0.05657137930393219,
-0.00420520780608058,
-0.05082183703780174,
0.022946828976273537,
0.015623009763658047,
0.01878867857158184,
0.07440180331468582,
-0.00001950135629158467,
-0.05677672103047371,
0.009197554551064968,
-0.08241008967161179,
-0.0139118367806077,
0.01572567969560623,
-0.07104790210723877,
0.03381277993321419,
-0.006630795542150736,
-0.003390261437743902,
0.002881187479943037,
-0.030321985483169556,
0.03282029926776886,
0.040349457412958145,
-0.028833264485001564,
0.008474583737552166,
-0.002707931213080883,
0.020003613084554672,
0.05191698670387268,
0.03027065098285675,
0.030185092240571976,
0.07358043640851974,
0.05544200539588928,
0.005219077691435814,
0.017933093011379242,
0.05971993878483772,
-0.018087098374962807,
0.03617419674992561,
-0.04616744816303253,
-0.03475392237305641,
-0.010951506905257702,
-0.001272684894502163,
0.004406270571053028,
-0.04089703410863876,
-0.040315236896276474,
-0.019558707252144814,
0.01902824267745018,
0.0031977545004338026,
-0.0020929784514009953,
-0.022809935733675957,
0.017915980890393257,
-0.02354574017226696,
-0.02368263341486454,
-0.012046657502651215,
0.059514597058296204,
0.021081650629639626,
-0.016504263505339622,
-0.02306661196053028,
0.031280241906642914,
-0.04308733716607094,
0.175497904419899,
-0.03213582932949066,
-0.015956688672304153,
-0.006562348455190659,
-0.018703119829297066,
-0.04623589292168617,
-0.07926153391599655,
-0.09520966559648514,
-0.008170850574970245,
0.0685153678059578,
-0.02392219752073288,
0.016435816884040833,
0.053662385791540146,
-0.006134555209428072,
-0.032084494829177856,
-0.026831192895770073,
0.031280241906642914,
-0.016085026785731316,
-0.024829119443893433,
-0.010737610049545765,
0.002263026311993599,
-0.015922464430332184,
-0.019319143146276474,
0.004624444991350174,
-0.04171839728951454,
0.03386411443352699,
0.04630434140563011,
0.017813310027122498,
0.029038606211543083,
-0.023083724081516266,
-0.017453964799642563,
-0.006348451599478722,
-0.07611297070980072,
0.005942048039287329,
-0.00526613462716341,
0.0521223284304142,
0.008602921850979328,
-0.03870673105120659,
0.07303286343812943,
0.00657518208026886,
0.02582160010933876,
-0.03415501117706299,
0.0015293608885258436,
-0.00781578291207552,
-0.016521375626325607,
-0.02541091851890087,
0.032495174556970596,
-0.01637592539191246,
-0.02582160010933876,
0.05718740075826645,
0.018463555723428726,
0.05263568088412285,
-0.0024298655334860086,
-0.01961004175245762,
0.040862809866666794,
0.024794897064566612,
0.06047285348176956,
0.016452929005026817,
-0.02854236587882042,
-0.06403209269046783,
0.030938006937503815,
0.003077972447499633,
0.009830689057707787,
0.0007924870005808771,
0.06386097520589828,
-0.03194759786128998,
0.03624264523386955,
0.07604452967643738,
0.01563156582415104,
-0.0009283113176934421,
0.008692759089171886,
-0.019079579040408134,
0.01085739303380251,
-0.008055347017943859,
-0.0012331140460446477,
0.010840280912816525,
0.01444230042397976,
0.06228669732809067,
-0.007687444798648357,
0.06526413559913635,
0.02633495256304741,
-0.01844644546508789,
0.03206738084554672,
-0.010164367966353893,
-0.022570371627807617,
-0.022655930370092392,
-0.029877079650759697,
-0.04784439504146576,
-0.003972060512751341,
0.003411651123315096,
-0.0322042740881443,
0.015469003468751907,
-0.03648220747709274,
0.007747335825115442,
-0.032666292041540146,
0.05253301188349724,
0.006947362329810858,
0.07227994501590729,
-0.035181716084480286,
-0.004461883567273617,
0.012773905880749226,
-0.029124164953827858,
-0.005762374959886074,
-0.06957629323005676,
-0.03217005357146263,
0.007400823291391134,
-0.011285185813903809,
-0.002883326495066285,
0.03150269389152527,
-0.03740623965859413,
-0.0342576839029789,
-0.008175129070878029,
-0.002419170690700412,
0.10705098509788513,
0.0036661881022155285,
0.03444591164588928,
0.03162247687578201,
-0.01201243419200182,
-0.0485973134636879,
0.01749674417078495,
0.03278607502579689,
0.03815915808081627,
0.0035421280190348625,
0.07358043640851974,
-0.04240286722779274,
0.0022309417836368084,
0.040075670927762985,
0.007922731339931488,
-0.05294369161128998,
-0.04175262153148651,
-0.001235252944752574,
-0.019952276721596718,
0.0008732329588383436,
0.020636746659874916,
-0.004156011156737804,
0.07371733337640762,
-0.004718559328466654,
-0.03412079066038132,
0.07371733337640762,
0.05325170233845711,
0.03196471184492111,
-0.010438155382871628,
0.009625348262488842,
0.014296850189566612,
-0.024589555338025093,
-0.05732429400086403,
0.008521641604602337,
0.01868600957095623,
-0.028730593621730804,
-0.007062866352498531,
-0.011541862040758133,
0.048802655190229416,
-0.02330617606639862,
0.033521879464387894,
-0.01848066784441471,
-0.03174225986003876,
-0.005604091566056013,
0.021800342947244644,
-0.015682900324463844,
0.03068133071064949,
0.049966249614953995,
0.01834377460181713,
-0.025872934609651566,
-0.07570229470729828,
-0.04120504483580589,
0.01260278932750225,
-0.06307383626699448,
0.03495926409959793,
-0.05184854194521904,
0.06546948105096817,
0.0023528628516942263,
-0.03418923541903496,
-0.06666729599237442,
-0.017000503838062286,
0.027173427864909172,
-0.005963437724858522,
-0.005000903271138668,
0.03167381137609482,
-0.02310083620250225,
-0.05147208273410797,
0.02457244321703911,
0.011635975912213326,
0.002746432553976774,
-0.04168417304754257,
0.029500622302293777,
0.00728959683328867,
0.005762374959886074,
-0.05294369161128998,
-0.0036768829450011253,
0.04243709146976471,
-0.023254841566085815,
-0.06221824884414673,
-0.005642592906951904,
0.03040754422545433,
0.001497276360169053,
-0.03774847462773323,
0.017761975526809692,
-0.03689289093017578,
0.09822133183479309,
-0.05236189439892769,
-0.005159186664968729,
0.06119154766201973,
0.017727751284837723,
-0.013535378500819206,
-0.011618864722549915,
0.018429333344101906,
-0.002981718862429261,
-0.015032654628157616,
-0.0409654825925827,
0.024384215474128723,
-0.02275860123336315,
-0.021115874871611595,
-0.059206586331129074,
-0.09459364414215088,
0.0014427327550947666,
0.035558175295591354,
0.030972231179475784,
0.020260287448763847,
0.03478814661502838,
-0.03860406205058098,
-0.012628456577658653,
-0.012286221608519554,
0.014887205325067043,
-0.03442880138754845,
0.017274292185902596,
-0.011978210881352425,
-0.027840783819556236,
-0.008436082862317562,
-0.0004636209341697395,
-0.002834130311384797,
-0.027224762365221977,
0.014681864529848099,
0.03372722119092941,
0.004106814973056316,
-0.019900942221283913,
0.002384947380051017,
-0.07501782476902008,
0.06454544514417648,
0.015785571187734604,
0.049316003918647766,
-0.004851175472140312,
0.0008561212453059852,
0.0423344187438488,
-0.05971993878483772,
0.019113801419734955,
0.02368263341486454,
-0.031074902042746544,
-0.009368672035634518,
0.01068627554923296,
-0.0010491629363968968,
0.034942153841257095,
-0.0211672093719244,
-0.053662385791540146,
-0.033658772706985474,
0.029466398060321808,
-0.0608835332095623,
0.011028509587049484,
0.01729140244424343,
0.04349801689386368,
0.04356646537780762,
-0.01725718006491661,
-0.0034929318353533745,
0.02830280177295208,
0.035968855023384094,
-0.028388360515236855,
0.03939120098948479,
0.02775522507727146,
0.026317840442061424,
0.03088667243719101,
0.00013716121611651033,
0.053696610033512115,
-0.025564923882484436,
0.0006689616711810231,
-0.031246019527316093,
0.025633370503783226,
-0.0154775595292449,
0.02778944931924343,
0.018121322616934776,
0.000012223857993376441,
-0.03489081561565399,
-0.003572073532268405,
-0.021115874871611595,
-0.03740623965859413,
0.04353224113583565,
-0.0619102381169796,
0.05749541148543358,
-0.020140506327152252,
0.0290214940905571,
0.049213334918022156,
0.0559895783662796,
0.0020705193746834993,
-0.05198543518781662,
0.0006828649784438312,
-0.028046125546097755,
0.0005946325836703181,
0.011011398397386074,
0.008055347017943859,
-0.018087098374962807,
-0.04151305556297302,
0.07447025179862976,
-0.010378263890743256,
-0.013749275356531143,
-0.0018117043655365705,
-0.020191840827465057,
-0.07987755537033081,
0.02754988521337509,
0.045311860740184784,
-0.049966249614953995,
0.03071555495262146,
0.01041248720139265,
0.017308514565229416,
-0.03754313662648201,
0.015563118271529675,
-0.005428696516901255,
-0.0023336121812462807,
-0.03853561729192734,
0.0039228638634085655,
0.010891616344451904,
-0.02837124839425087,
0.002827713266015053,
-0.05037693306803703,
0.017813310027122498,
0.0018256077310070395,
0.03169092535972595,
-0.020157618448138237,
-0.044695839285850525,
-0.0035036266781389713,
-0.014005950652062893,
0.005471475422382355,
-0.014639085158705711,
0.029603293165564537,
-0.011969654820859432,
-0.011259518563747406,
-0.03412079066038132,
-0.05845366790890694,
-0.03085244819521904,
0.03898052126169205,
-0.006301394663751125,
0.024469774216413498,
-0.04195796325802803,
-0.004423382226377726,
-0.04900799319148064,
0.0105836046859622,
-0.07070566713809967,
-0.024692226201295853,
0.023152170702815056,
0.027395879849791527,
0.016487151384353638,
-0.0007555898046121001,
0.039904553443193436,
-0.044079817831516266,
-0.032426729798316956,
0.04209485650062561,
0.003471542149782181,
0.001558236894197762,
-0.02306661196053028,
0.03372722119092941,
-0.033179644495248795,
-0.006078942213207483,
0.011353632435202599,
0.03809070959687233,
0.026950974017381668,
0.05068494379520416,
-0.004173123277723789,
-0.06831002235412598,
-0.008303467184305191,
-0.016743827611207962,
0.059411924332380295,
-0.05355971306562424,
0.028935935348272324,
0.024897566065192223,
0.059480372816324234,
0.03815915808081627,
0.017607970163226128,
0.020037835463881493,
-0.016093581914901733,
-0.00271862605586648,
0.06570903956890106,
-0.015913909301161766,
0.006673574447631836,
0.001212793868035078,
-0.014921428635716438,
-0.02551358938217163,
-0.05047960206866264,
-0.018069986253976822,
0.028696371242403984,
-0.010378263890743256,
0.025256913155317307,
0.0004245848103892058,
0.025393806397914886,
0.01719728857278824,
0.024418437853455544,
-0.030424656346440315,
0.022091243416070938,
0.053696610033512115,
-0.0011903346749022603,
0.03109201230108738,
0.02275860123336315,
0.0423344187438488,
-0.04705725610256195,
-0.013603825122117996,
-0.004117509815841913,
0.02905571646988392,
-0.06160222738981247,
0.0004339427687227726,
-0.03143424913287163,
-0.027258984744548798,
-0.01327014621347189,
0.0003010595100931823,
0.07029498368501663,
0.022416366264224052,
-0.019011132419109344,
-0.03665332496166229,
-0.019746936857700348,
0.02568470686674118,
-0.0553051121532917,
0.01530644204467535,
-0.020739415660500526,
-0.011131180450320244,
0.03461702913045883,
-0.029483510181307793,
-0.01603369042277336,
0.00462872302159667,
0.00966812763363123,
-0.033316537737846375,
-0.035797737538814545,
-0.03412079066038132,
0.022211024537682533,
-0.012542897835373878,
-0.007242539431899786,
-0.014758867211639881,
-0.005659704562276602,
0.04627011716365814,
-0.0044490499421954155,
0.015537451021373272,
0.026899639517068863,
-0.0024405603762716055,
0.06697531044483185,
-0.045551422983407974,
-0.026044052094221115,
0.03418923541903496,
0.015083990059792995,
0.01148197054862976,
-0.0023935032077133656,
0.0033089807257056236,
0.02847391925752163,
-0.03764580562710762,
0.0315198078751564,
-0.029517734423279762,
-0.026078276336193085,
-0.008880987763404846,
0.02619805745780468,
0.03781692311167717,
-0.015469003468751907,
-0.025941383093595505,
-0.00806818064302206,
-0.04366913437843323,
0.010669163428246975,
0.017727751284837723,
0.010104476474225521,
-0.028319912031292915,
-0.014536414295434952,
-0.006288560573011637,
-0.035421282052993774,
-0.011764314025640488,
-0.0008133419323712587,
-0.01735984906554222,
0.01875445619225502,
-0.011122624389827251,
0.016264699399471283,
0.03798804059624672,
-0.011139736510813236,
-0.009745130315423012,
-0.0013753552921116352,
0.008346246555447578,
0.03661910071969032,
-0.009471342898905277,
-0.012166439555585384,
-0.027378767728805542,
-0.01580268330872059,
0.004397714510560036,
-0.04637278616428375,
0.02589004673063755,
-0.044695839285850525,
-0.03400100767612457,
-0.010138699784874916,
-0.0012320445384830236,
0.03013375587761402,
-0.015990911051630974,
0.03952809423208237,
-0.045038074254989624,
-0.04366913437843323,
-0.009728018194437027,
0.03692711144685745,
0.01623903214931488,
-0.0021207849495112896,
-0.04106815159320831,
0.027601219713687897,
-0.0035506838466972113,
0.005749541334807873,
0.005544200539588928,
-0.0014127872418612242,
-0.034736812114715576,
0.01153330598026514,
-0.08487418293952942,
0.017419740557670593,
0.019935164600610733,
0.013869057409465313,
-0.006228669546544552,
0.0010930116986855865,
-0.004791284445673227,
0.05082183703780174,
-0.05095873028039932,
0.04856308922171593,
0.006511013023555279,
0.008906655013561249,
0.04726259782910347,
0.003987032920122147,
-0.01170442346483469,
-0.004021256696432829,
0.00031469541136175394,
-0.03150269389152527,
-0.044695839285850525,
-0.015845462679862976,
-0.05698205903172493,
0.07563384622335434,
-0.023152170702815056,
-0.025941383093595505,
0.07878240197896957,
0.02809746004641056,
0.0721430554986,
-0.06807046383619308,
0.009163331240415573,
0.003522877348586917,
0.007020086981356144,
-0.0034052343107759953,
-0.01906246691942215,
0.02660873904824257,
0.053901948034763336,
0.003672604914754629,
0.007276763208210468,
0.04709148034453392,
0.03388122469186783,
-0.011336521245539188,
0.01892557367682457,
0.015400556847453117,
-0.007174092810600996,
-0.014981319196522236,
-0.02775522507727146,
0.0009967582300305367,
0.035831961780786514,
-0.005527088884264231,
0.04702303186058998,
0.0025410919915884733,
0.002930383663624525,
0.0037367739714682102,
-0.028593700379133224,
0.0000622639709035866,
0.008821096271276474,
0.02106453850865364,
-0.004158150404691696,
0.01148197054862976,
-0.029466398060321808,
-0.05568156763911247,
0.045140743255615234,
0.03140002489089966,
-0.012902243994176388,
-0.005159186664968729,
-0.006438288372009993,
0.00966812763363123,
-0.011473414488136768,
-0.045722540467977524,
-0.03679021820425987,
-0.00517202029004693,
-0.0377826988697052,
-0.06245781481266022,
-0.002930383663624525,
-0.0029517733491957188,
0.04209485650062561,
-0.040554799139499664,
0.030972231179475784,
-0.004808396100997925,
-0.02609538845717907,
-0.029312392696738243,
0.005270412657409906,
-0.0260611642152071,
0.025102907791733742,
-0.0025624814443290234,
-0.025188466534018517,
0.0023550018668174744,
0.02275860123336315,
-0.03904896602034569,
0.022262360900640488,
0.02310083620250225,
-0.005924936383962631,
0.0026159556582570076,
0.03470258787274361,
0.03196471184492111,
-0.001175361918285489,
0.0006951640243642032,
-0.0016256143571808934,
0.011379300616681576,
0.030390432104468346,
-0.012748238630592823,
0.03867251053452492,
0.03213582932949066,
0.029312392696738243,
-0.0019314865348860621,
-0.015220883302390575,
0.004004144575446844,
-0.011319409124553204,
-0.014630529098212719,
0.0019015410216525197,
-0.011473414488136768,
0.0004898232873529196,
-0.00927455723285675,
-0.0015186660457402468,
0.04606477543711662,
0.024349991232156754,
0.029449287801980972,
0.005822265986353159,
0.00776444748044014,
0.014262626878917217,
-0.010207146406173706,
0.01947314850986004,
0.06971319019794464,
-0.008324856869876385,
-0.004731393419206142,
0.017607970163226128,
-0.007614719681441784,
-0.020226065069437027,
-0.0022159689106047153,
0.022553259506821632,
0.0025517866015434265,
-0.017145954072475433,
-0.021047428250312805,
0.016974836587905884,
0.029962638393044472,
0.021492332220077515,
-0.016350258141756058,
0.00782861653715372,
0.021150097250938416,
-0.02388797514140606,
0.019764047116041183,
-0.010626384057104588,
-0.0043249898590147495,
0.004006283823400736,
0.02992841601371765,
-0.005099295638501644,
0.011764314025640488,
-0.05595535784959793,
-0.0057794866152107716,
0.005989105440676212,
-0.015777014195919037,
0.05047960206866264,
0.04897376894950867,
0.027977678924798965,
-0.059925276786088943,
-0.01094295084476471,
-0.013167476281523705,
-0.024247320368885994,
0.034942153841257095,
-0.012474451214075089,
0.05321747809648514,
-0.0559895783662796,
0.05225922167301178,
0.0032212832011282444,
-0.04692036285996437,
0.022262360900640488,
-0.05140363797545433,
0.04226597398519516,
0.01937047764658928,
-0.0211672093719244,
-0.020705193281173706,
0.03672177344560623,
0.005321748089045286,
0.03162247687578201,
0.03258073329925537,
-0.025872934609651566,
0.0017357710748910904,
-0.03822760283946991,
-0.0070928120985627174,
-0.006908860988914967,
0.039356980472803116,
0.023460181429982185,
0.022981053218245506,
0.03205027058720589,
0.011986766941845417,
-0.014185624197125435,
-0.008269243873655796,
-0.054723311215639114,
0.040452130138874054,
0.007118479814380407,
0.034839481115341187,
0.03768002986907959,
-0.03394967317581177,
0.0024448384065181017,
0.00328759104013443,
0.017898868769407272,
-0.021663449704647064,
0.02589004673063755,
0.0008063902496360242,
0.036003079265356064,
0.008898099884390831,
0.00417954009026289,
0.019746936857700348,
-0.04223174974322319,
-0.02523980103433132,
0.01141352392733097,
-0.008786872960627079,
0.02330617606639862,
-0.02595849335193634,
-0.05681094154715538,
0.0020715887658298016,
-0.035250164568424225,
-0.020123394206166267,
-0.06923405826091766,
0.0021229239646345377,
0.026762746274471283,
0.003131446661427617,
-0.02813168428838253,
0.044661615043878555,
0.01971271261572838,
-0.01029270514845848,
-0.031246019527316093,
-0.007541995029896498,
0.04271087795495987,
0.01427118293941021,
-0.03754313662648201,
0.04277932643890381,
0.04315578192472458,
-0.02075652778148651,
0.03203315660357475,
-0.004286488518118858,
-0.01313325297087431,
-0.04315578192472458,
0.016256144270300865,
-0.02137255109846592,
-0.031554028391838074,
-0.0300995334982872,
0.027909230440855026,
0.035866186022758484,
-0.012277666479349136,
-0.03020220249891281,
0.006677852477878332,
0.008029678836464882,
-0.02048274129629135,
0.025941383093595505,
0.025907158851623535,
-0.0067548551596701145,
0.021286992356181145,
0.049521345645189285,
-0.0031228906009346247,
-0.017513856291770935,
-0.02891882322728634,
0.02275860123336315,
-0.026745634153485298,
0.02599271759390831,
-0.04271087795495987,
0.013304369524121284,
-0.025051573291420937,
-0.012465895153582096,
0.03420634940266609,
-0.035626620054244995,
0.012371780350804329,
0.01971271261572838,
-0.020174728706479073,
-0.012448783032596111,
-0.0009240334038622677,
-0.006891749333590269,
-0.01580268330872059,
0.005676816217601299,
-0.0008748371619731188,
-0.007409378886222839,
0.009702350944280624,
0.05763230472803116,
-0.019627153873443604,
-0.011447747237980366,
-0.011730090714991093,
-0.00951412133872509,
-0.024966014549136162,
-0.03174225986003876,
-0.0035314331762492657,
0.007708834484219551,
-0.01930203102529049,
0.03843294456601143,
0.006288560573011637,
0.005753819365054369,
0.007648943457752466,
-0.016153473407030106,
0.016658268868923187,
0.019695600494742393,
-0.02657451666891575,
-0.001250225817784667,
-0.018566226586699486,
0.03750891238451004,
-0.04835774749517441,
0.013629492372274399,
-0.015143880620598793,
0.03634531423449516,
0.017625082284212112,
-0.019849605858325958,
-0.025000236928462982,
0.024777784943580627,
-0.01082316879183054,
0.013278702273964882,
0.007700278423726559,
0.008812541142106056,
-0.027190538123250008,
0.035318609327077866,
0.004423382226377726,
-0.013620937243103981,
0.03788537159562111,
0.02871348336338997,
0.014921428635716438,
-0.040520574897527695,
0.008880987763404846,
-0.035352833569049835,
0.0049196225591003895,
-0.01063494011759758,
-0.013492599129676819,
-0.022501925006508827,
-0.000500785477925092,
0.013697939924895763,
0.01647859625518322,
0.012919356115162373,
-0.012902243994176388,
0.004487551283091307,
-0.013039138168096542,
0.0032597845420241356,
0.008440360426902771,
-0.0769343376159668,
0.004014839418232441,
-0.002165703335776925,
-0.005274690687656403,
0.045551422983407974,
-0.006297116633504629,
0.023665523156523705,
0.04760483279824257,
-0.005788042675703764,
0.0278236735612154,
-0.013458375819027424,
-0.015537451021373272,
0.0013422012561932206,
-0.005544200539588928,
0.014348185621201992,
0.010130143724381924,
-0.01506687793880701,
-0.025068683549761772,
0.004620166961103678,
0.024743560701608658,
0.011011398397386074,
0.010575048625469208,
-0.03458280488848686,
-0.007242539431899786,
-0.02130410447716713,
-0.024315768852829933,
0.01506687793880701,
-0.04760483279824257,
-0.02392219752073288,
0.0007550550508312881,
-0.005676816217601299,
0.027053644880652428,
0.008042513392865658,
0.04784439504146576,
-0.013843389227986336,
0.004941011779010296,
-0.013697939924895763,
0.003698272630572319,
-0.0012758933007717133,
0.010053141042590141,
0.02364841103553772,
0.019661378115415573,
-0.00534313777461648,
0.03624264523386955,
0.000506400247104466,
-0.016316033899784088,
0.028970157727599144,
-0.00421162461861968,
-0.017248623073101044,
-0.007469269912689924,
0.03502771258354187,
0.01947314850986004,
-0.012380336411297321,
-0.0036041580606251955,
-0.026317840442061424,
0.04291621968150139,
-0.007118479814380407,
0.019695600494742393,
0.05509977042675018,
-0.013851945288479328,
0.010780389420688152,
-0.025393806397914886,
-0.005133518949151039,
0.009009325876832008,
0.002622372703626752,
0.0032448116689920425,
0.031177571043372154,
-0.008397581055760384,
-0.035215940326452255,
0.07494937628507614,
0.019746936857700348,
0.011456303298473358,
-0.0053345817141234875,
0.0011400689836591482,
-0.004440493881702423,
-0.022330807521939278,
-0.020072059705853462,
-0.014887205325067043,
-0.0016309617785736918,
-0.032768961042165756,
-0.019798271358013153,
-0.0419921837747097,
-0.044490497559309006,
-0.03140002489089966
] |
Traffic simulation plays a crucial role in evaluating and improving
autonomous driving planning systems. After being deployed on public roads,
autonomous vehicles need to interact with human road participants with
different social preferences (e.g., selfish or courteous human drivers). To
ensure that autonomous vehicles take safe and efficient maneuvers in different
interactive traffic scenarios, we should be able to evaluate autonomous
vehicles against reactive agents with different social characteristics in the
simulation environment. We propose a socially-controllable behavior generation
(SCBG) model for this purpose, which allows the users to specify the level of
courtesy of the generated trajectory while ensuring realistic and human-like
trajectory generation through learning from real-world driving data.
Specifically, we define a novel and differentiable measure to quantify the
level of courtesy of driving behavior, leveraging marginal and conditional
behavior prediction models trained from real-world driving data. The proposed
courtesy measure allows us to auto-label the courtesy levels of trajectories
from real-world driving data and conveniently train an SCBG model generating
trajectories based on the input courtesy values. We examined the SCBG model on
the Waymo Open Motion Dataset (WOMD) and showed that we were able to control
the SCBG model to generate realistic driving behaviors with desired courtesy
levels. Interestingly, we found that the SCBG model was able to identify
different motion patterns of courteous behaviors according to the scenarios. | [
-0.009850053116679192,
-0.05952858179807663,
-0.034747716039419174,
-0.011903769336640835,
0.012205501087009907,
0.03173040971159935,
-0.025578992441296577,
0.018658647313714027,
-0.11672118306159973,
0.031983472406864166,
0.025968322530388832,
0.03498131409287453,
0.008847528137266636,
-0.010278316214680672,
0.005353289656341076,
0.02195822075009346,
0.018717046827077866,
-0.03159414231777191,
0.009314724244177341,
-0.04072393476963043,
-0.009976585395634174,
0.002545245923101902,
-0.030484551563858986,
0.02075129747390747,
0.01946650817990303,
0.004513796418905258,
0.014512281864881516,
0.010589780285954475,
-0.05477875471115112,
0.05547954887151718,
0.012312566861510277,
0.056997936218976974,
-0.010609246790409088,
-0.004696295130997896,
-0.014590147882699966,
-0.022269684821367264,
0.07525751739740372,
0.031068546697497368,
0.013227492570877075,
0.08246012777090073,
-0.04368284344673157,
-0.015865204855799675,
-0.01732519268989563,
-0.049367066472768784,
0.013169093057513237,
-0.018016252666711807,
-0.06073550507426262,
0.018308250233530998,
-0.03202240541577339,
0.004581929184496403,
0.040957532823085785,
-0.03114641271531582,
0.04119113087654114,
-0.0013066893443465233,
-0.03965327888727188,
0.03663596883416176,
-0.023496074602007866,
0.00424369890242815,
0.03266480192542076,
-0.014346816577017307,
0.017140259966254234,
-0.01975850574672222,
-0.0718703493475914,
-0.030114687979221344,
0.012877095490694046,
0.01522280927747488,
0.04115219786763191,
0.02651338465511799,
-0.04134686291217804,
-0.025968322530388832,
-0.08728782087564468,
0.00017504648712929338,
-0.03980901092290878,
-0.023476608097553253,
0.043799642473459244,
0.004530829843133688,
0.06984583288431168,
0.05952858179807663,
0.027759240940213203,
0.014648547396063805,
-0.017792388796806335,
0.0072756074368953705,
-0.037317294627428055,
0.03714209794998169,
0.035195447504520416,
-0.04126899689435959,
0.03381332382559776,
-0.06832744181156158,
0.0441889725625515,
-0.036188237369060516,
0.006024884060025215,
-0.021510491147637367,
-0.016575731337070465,
0.029958955943584442,
0.00014866024139337242,
0.023476608097553253,
0.0487830713391304,
-0.00543602230027318,
-0.0274477768689394,
0.03001735545694828,
0.013091227039694786,
0.014804279431700706,
0.013957486487925053,
-0.008073734119534492,
0.040529269725084305,
-0.022328084334731102,
-0.033326663076877594,
0.05213131010532379,
0.019505441188812256,
0.11127056181430817,
0.007835269905626774,
-0.006049217190593481,
0.001870001433417201,
0.009859786368906498,
-0.06307148933410645,
0.007450805976986885,
-0.05388329550623894,
-0.05302676931023598,
0.059489648789167404,
-0.05470088869333267,
-0.013986686244606972,
0.06965116411447525,
-0.012059501372277737,
-0.040529269725084305,
-0.010570313781499863,
-0.023048344999551773,
-0.020692897960543633,
-0.0159041378647089,
0.04753721132874489,
-0.055440615862607956,
0.05224810913205147,
-0.008954593911767006,
-0.012098434381186962,
-0.010142050683498383,
0.03285946696996689,
-0.02188035473227501,
0.011047243140637875,
-0.03387172520160675,
-0.039614345878362656,
0.0033798725344240665,
-0.05843845754861832,
-0.018658647313714027,
-0.004248565528541803,
0.049367066472768784,
-0.058204859495162964,
-0.0002550416684243828,
-0.012419632636010647,
0.0671205222606659,
-0.0403735376894474,
0.023904871195554733,
-0.003348239464685321,
0.02524806186556816,
0.025909923017024994,
0.01726679317653179,
0.022697947919368744,
0.011105642654001713,
-0.06357761472463608,
-0.020868096500635147,
0.04780974239110947,
-0.10395115613937378,
0.01967090740799904,
-0.006949543487280607,
0.02666911669075489,
0.04356604442000389,
0.06793811172246933,
-0.001664386480115354,
0.015943070873618126,
-0.009217391721904278,
-0.010258849710226059,
0.029744824394583702,
-0.07514072209596634,
0.007445939350873232,
-0.03978954255580902,
0.011310040950775146,
0.008244066499173641,
0.03912768140435219,
0.02873256616294384,
0.014288417063653469,
-0.00819540023803711,
0.03529277816414833,
-0.06696479022502899,
0.006000550929456949,
-0.036402370780706406,
0.022853679955005646,
0.06786024570465088,
0.04812120646238327,
0.07848896086215973,
0.026357652619481087,
0.051080118864774704,
0.009149258956313133,
0.04734254628419876,
0.03540957719087601,
0.05014572665095329,
0.023651806637644768,
0.009460723027586937,
-0.003348239464685321,
-0.051508381962776184,
-0.038173820823431015,
-0.03457251936197281,
0.02651338465511799,
-0.007694137282669544,
-0.025909923017024994,
-0.01222496759146452,
0.003061108523979783,
0.02374913915991783,
-0.039828475564718246,
0.006793811451643705,
0.030542951077222824,
-0.011699371039867401,
-0.06373334676027298,
-0.026182454079389572,
-0.03457251936197281,
-0.05154731497168541,
-0.025754190981388092,
-0.0184639822691679,
-0.021471558138728142,
0.030893348157405853,
-0.03465038537979126,
0.03622717037796974,
-0.05255957320332527,
0.03883568197488785,
0.03986740857362747,
0.012244434095919132,
-0.018794912844896317,
-0.06264322251081467,
-0.019447041675448418,
0.04668068513274193,
0.03223653882741928,
-0.06992369890213013,
-0.02040090039372444,
-0.011027776636183262,
-0.024975530803203583,
0.0005849077133461833,
0.004068500362336636,
0.05318250134587288,
0.03272319957613945,
0.044227905571460724,
-0.007533538620918989,
0.005431155674159527,
-0.06054084002971649,
-0.0074362060986459255,
-0.03173040971159935,
-0.02900509722530842,
-0.024625133723020554,
0.021374225616455078,
0.010541114024817944,
-0.03252853453159332,
0.028966164216399193,
0.026824848726391792,
0.004735228139907122,
-0.04613562300801277,
-0.00598595105111599,
0.013665488921105862,
-0.0445004366338253,
-0.011241908185184002,
0.031769342720508575,
0.04084073379635811,
-0.028265370056033134,
0.023126211017370224,
-0.0034042056649923325,
0.062409624457359314,
0.0425148531794548,
-0.0527542382478714,
0.07066342234611511,
-0.044734034687280655,
-0.021413158625364304,
0.05804912745952606,
-0.002640145132318139,
0.017977319657802582,
-0.0015646206447854638,
-0.032411735504865646,
-0.03799862414598465,
-0.014346816577017307,
0.011582572013139725,
-0.030036821961402893,
-0.024566734209656715,
-0.032898399978876114,
-0.0487830713391304,
0.02696111425757408,
-0.030640283599495888,
-0.04372177645564079,
-0.0018894679378718138,
0.05839952453970909,
-0.021218493580818176,
-0.06614719331264496,
-0.08814434707164764,
-0.026201920583844185,
0.012653230689466,
-0.0759972482919693,
0.00305624189786613,
-0.019992103800177574,
0.036889031529426575,
-0.03377439081668854,
0.008317065425217152,
0.035954639315605164,
0.030542951077222824,
-0.01767558977007866,
-0.02666911669075489,
-0.004915293306112289,
-0.06104696914553642,
-0.007869335822761059,
0.004747394472360611,
0.05594674497842789,
-0.0006241449154913425,
0.007767136674374342,
0.011066709645092487,
0.006720812059938908,
-0.0189603790640831,
-0.0675877183675766,
-0.0025841789320111275,
0.014142418280243874,
-0.008331665769219398,
-0.0035842708311975002,
-0.031827740371227264,
0.00808833446353674,
0.033832792192697525,
0.049600664526224136,
0.000594032637309283,
-0.049367066472768784,
-0.007188008166849613,
-0.026416052132844925,
0.018872778862714767,
-0.048744138330221176,
0.0072756074368953705,
-0.0018979845335707068,
0.02444993518292904,
0.0029248427599668503,
0.049016669392585754,
-0.00598595105111599,
0.014288417063653469,
-0.018434783443808556,
-0.007455672603100538,
-0.0548955537378788,
-0.013714155182242393,
-0.0030757084023207426,
0.027272578328847885,
-0.003769202623516321,
0.032898399978876114,
-0.03377439081668854,
-0.014590147882699966,
0.02117956057190895,
0.03108801320195198,
-0.01824011839926243,
0.02816803753376007,
-0.011718837544322014,
-0.013139893300831318,
0.03215867280960083,
0.05816592648625374,
0.011718837544322014,
-0.002754510845988989,
0.0010238166432827711,
-0.01490161195397377,
-0.012137367390096188,
-0.028479501605033875,
0.06061870604753494,
-0.014668013900518417,
-0.008307332172989845,
-0.03930288180708885,
-0.03700583055615425,
0.038543686270713806,
0.04675855115056038,
-0.022639548406004906,
-0.024041136726737022,
0.001296956092119217,
-0.03969221189618111,
-0.004907993599772453,
-0.016857996582984924,
-0.01795785315334797,
0.03138001263141632,
0.003304439829662442,
-0.07989054918289185,
0.001984367147088051,
0.006827877834439278,
-0.04913346841931343,
0.008419265039265156,
0.030912814661860466,
-0.014483082108199596,
-0.0634608194231987,
-0.040451403707265854,
0.0400620736181736,
0.0012653230223804712,
-0.010813645087182522,
-0.022328084334731102,
-0.013928286731243134,
-0.046953216195106506,
0.06887250393629074,
0.019262108951807022,
0.01130030769854784,
0.023281943053007126,
0.0466417521238327,
0.032684266567230225,
-0.0026547450106590986,
-0.005470088683068752,
-0.04372177645564079,
0.007806069683283567,
0.03720049560070038,
0.019933704286813736,
-0.039828475564718246,
-0.00771847041323781,
-0.010171250440180302,
-0.006214682944118977,
-0.00038355105789378285,
0.03307359665632248,
0.020069969817996025,
0.006020017433911562,
0.008282999508082867,
-0.04854946956038475,
-0.023982737213373184,
-0.0031633076723665,
0.01847371645271778,
-0.018502915278077126,
-0.012750563211739063,
-0.008336531929671764,
-0.005377622786909342,
0.022328084334731102,
-0.016857996582984924,
-0.05606354400515556,
-0.00031967656104825437,
0.001524470979347825,
-0.025540059432387352,
0.008137000724673271,
0.03762875869870186,
0.010901244357228279,
0.02645498514175415,
-0.007635737769305706,
0.039614345878362656,
-0.06797704845666885,
0.0007257357356138527,
-0.007694137282669544,
-0.027681374922394753,
0.04165832698345184,
0.015261742286384106,
-0.000021519615984288976,
-0.05874992161989212,
0.043955374509096146,
0.04613562300801277,
-0.005348423030227423,
-0.011202975176274776,
-0.03529277816414833,
0.013315091840922832,
-0.014677747152745724,
-0.05345503240823746,
-0.005781552754342556,
-0.015602406114339828,
-0.012001101858913898,
-0.006146550178527832,
0.0232430100440979,
-0.0850297063589096,
-0.0100155184045434,
-0.023009411990642548,
-0.07179248332977295,
0.07288260757923126,
-0.011962168850004673,
-0.021724622696638107,
0.009679720737040043,
-0.03788182511925697,
0.0028591433074325323,
-0.04535696282982826,
-0.019301041960716248,
-0.01122244168072939,
0.02287314645946026,
0.010774712078273296,
0.004518663045018911,
-0.003078141715377569,
0.005494421813637018,
0.03052348457276821,
-0.06875570863485336,
-0.020361967384815216,
0.003360406029969454,
-0.01468748040497303,
0.05298783630132675,
-0.0017592856893315911,
0.009290390647947788,
0.01633240096271038,
-0.010667646303772926,
0.03535117954015732,
-0.013577889651060104,
-0.03977007791399956,
-0.012770029716193676,
-0.024936597794294357,
0.012351499870419502,
0.013704421930015087,
0.03799862414598465,
-0.026552317664027214,
0.0274477768689394,
0.02474193274974823,
-0.00923685822635889,
-0.015787338837981224,
-0.03122427873313427,
-0.05676433816552162,
-0.04091859981417656,
-0.03492291644215584,
-0.012117900885641575,
-0.016643865033984184,
-0.06151416525244713,
0.02894669771194458,
0.010171250440180302,
-0.010005785152316093,
0.04239805415272713,
0.02781764045357704,
-0.0106287132948637,
-0.029744824394583702,
0.026844315230846405,
-0.03702529892325401,
-0.018940912559628487,
0.015728939324617386,
0.010278316214680672,
0.03274266794323921,
-0.03210027143359184,
-0.006696478929370642,
0.03566264361143112,
0.06458987295627594,
-0.00751893874257803,
-0.04761507734656334,
0.00912492536008358,
0.017140259966254234,
0.021218493580818176,
-0.05174198001623154,
0.03607143834233284,
0.024975530803203583,
0.010609246790409088,
0.008360865525901318,
0.00019527341646607965,
0.007747670169919729,
-0.018483448773622513,
0.051235850900411606,
0.008978926576673985,
0.005669620353728533,
0.025715257972478867,
-0.009923052974045277,
-0.042242322117090225,
0.04625242203474045,
-0.0008194183465093374,
-0.06458987295627594,
-0.007635737769305706,
-0.05446729063987732,
-0.0008279349422082305,
0.03679170086979866,
-0.01194270234555006,
-0.019933704286813736,
-0.024644600227475166,
0.03663596883416176,
-0.045162297785282135,
0.0031049081590026617,
0.03330719470977783,
-0.007343740202486515,
0.012186034582555294,
-0.023223543539643288,
-0.01810385286808014,
-0.002022083615884185,
0.018794912844896317,
0.015699738636612892,
0.019193977117538452,
0.023496074602007866,
-0.04621348902583122,
0.006005417555570602,
-0.04368284344673157,
-0.02351554110646248,
-0.02082916349172592,
-0.04208659008145332,
-0.025715257972478867,
-0.026980580762028694,
-0.0169747956097126,
-0.004584362730383873,
0.003924934659153223,
0.0016789863584563136,
0.01052164752036333,
0.0200310368090868,
0.018230384215712547,
0.04341031238436699,
-0.0357794426381588,
-0.019495708867907524,
-0.021374225616455078,
-0.04866626858711243,
0.0032192738726735115,
-0.007737936917692423,
0.006156283430755138,
-0.0443447045981884,
-0.006613746285438538,
0.010463248006999493,
0.02816803753376007,
0.032178137451410294,
0.003878701711073518,
0.0349423810839653,
-0.015086543746292591,
0.00805913470685482,
-0.02672751620411873,
-0.05255957320332527,
0.038251686841249466,
-0.01305229403078556,
0.009562921710312366,
0.051508381962776184,
0.012740829959511757,
-0.0006868027267046273,
0.0007999518420547247,
-0.046018823981285095,
-0.017802121117711067,
0.037181030958890915,
-0.036324504762887955,
-0.08238226175308228,
0.014434415847063065,
0.029336027801036835,
0.01436628308147192,
0.002092649694532156,
-0.01361682265996933,
-0.017879987135529518,
0.04313778132200241,
-0.0030294752214103937,
0.0036962032318115234,
-0.003669436788186431,
-0.019232910126447678,
-0.003941968083381653,
0.0021960653830319643,
-0.03412478789687157,
0.035039715468883514,
-0.021977687254548073,
0.0656021311879158,
0.031126946210861206,
-0.004555162973701954,
-0.024780865758657455,
0.03278160095214844,
-0.005494421813637018,
0.044656168669462204,
0.0034042056649923325,
-0.015670539811253548,
0.02040090039372444,
-0.009996051900088787,
-0.02265901491045952,
0.010599513538181782,
0.015427207574248314,
-0.026338186115026474,
0.03412478789687157,
-0.013490290381014347,
0.0002932142815552652,
0.004304531496018171,
0.012458565644919872,
-0.03136054426431656,
0.028635233640670776,
-0.018210917711257935,
-0.004572195932269096,
0.0038495019543915987,
0.005893485154956579,
-0.05582994595170021,
0.04882200434803963,
-0.007548138499259949,
0.013684955425560474,
-0.03229493647813797,
-0.024352600798010826,
0.022775813937187195,
0.026571784168481827,
0.0013857720186933875,
0.04777080938220024,
-0.013947753235697746,
0.02123796008527279,
0.012828429229557514,
-0.0012714063050225377,
0.042320188134908676,
-0.004720628261566162,
-0.00848253071308136,
0.030484551563858986,
-0.00773307029157877,
-0.009314724244177341,
0.03513704612851143,
0.010365915484726429,
0.020770763978362083,
0.023048344999551773,
0.07677590847015381,
-0.022503282874822617,
-0.039750609546899796,
0.040529269725084305,
-0.02522859536111355,
0.009309857152402401,
-0.013869887217879295,
-0.007587071508169174,
0.03686956688761711,
-0.004752261098474264,
-0.005966484546661377,
0.009202791377902031,
0.03435838595032692,
-0.02517019584774971,
-0.014161884784698486,
-0.017695056274533272,
-0.07704843580722809,
0.010258849710226059,
-0.007270740810781717,
-0.0402178056538105,
-0.01917451061308384,
0.013655755668878555,
0.011640971526503563,
0.007363206706941128,
-0.044734034687280655,
-0.03202240541577339,
-0.01653679832816124,
0.028401635587215424,
0.029355494305491447,
-0.023982737213373184,
-0.025267528370022774,
-0.02289261296391487,
0.03879674896597862,
0.0048155272379517555,
0.008287865668535233,
-0.025715257972478867,
-0.04080180078744888,
-0.0005073458887636662,
0.0263771191239357,
0.0020196503028273582,
-0.007124742027372122,
0.039322346448898315,
-0.01511574350297451,
-0.022347550839185715,
0.022931545972824097,
0.043799642473459244,
-0.020848629996180534,
0.013091227039694786,
0.020069969817996025,
-0.00411959970369935,
0.024488868191838264,
-0.025773657485842705,
-0.0377650260925293,
0.013646022416651249,
0.023281943053007126,
0.0032606401946395636,
0.023982737213373184,
-0.05645287409424782,
-0.006857077591121197,
0.022503282874822617,
0.01055084727704525,
0.004740094766020775,
-0.0012543731136247516,
0.003192507429048419,
0.04372177645564079,
-0.07634764164686203,
0.011981635354459286,
0.014765346422791481,
0.018308250233530998,
-0.0010542330564931035,
-0.005513888318091631,
0.004311831668019295,
-0.02409953624010086,
-0.035175979137420654,
0.016741197556257248,
-0.01731545850634575,
0.026143521070480347,
-0.007635737769305706,
-0.010375648736953735,
0.025929389521479607,
0.01990450546145439,
0.03400798887014389,
-0.030270420014858246,
0.023145677521824837,
0.07007943093776703,
-0.03908874839544296,
0.02731151133775711,
-0.009047059342265129,
-0.04282631725072861,
-0.001367522170767188,
-0.012010835111141205,
0.023982737213373184,
-0.0034650384914129972,
-0.019573574885725975,
0.046018823981285095,
0.04411110654473305,
0.016867728903889656,
0.04169725999236107,
0.023067811504006386,
-0.02795390598475933,
0.015874937176704407,
0.0027253110893070698,
0.008866994641721249,
-0.023418208584189415,
0.01044378150254488,
-0.013684955425560474,
0.022970478981733322,
-0.014006152749061584,
0.021860888227820396,
-0.007991001941263676,
0.03949754685163498,
-0.06579679995775223,
0.004567329306155443,
-0.0072220745496451855,
-0.020011570304632187,
-0.022542215883731842,
0.006516413763165474,
0.04504549875855446,
-0.058788854628801346,
0.036966897547245026,
-0.050379324704408646,
0.003917634952813387,
-0.010862311348319054,
0.014220284298062325,
0.0013188559096306562,
-0.005620954092592001,
0.028576834127306938,
0.03408585488796234,
0.029044030234217644,
-0.02160782366991043,
0.0015767872100695968,
0.04839373752474785,
-0.007153941784054041,
-0.02139369212090969,
0.010959643870592117,
0.030056288465857506,
0.011786970309913158,
0.03815435618162155,
0.041307929903268814,
-0.05326036736369133,
-0.0441889725625515,
-0.024333134293556213,
-0.03371599316596985,
0.025072863325476646,
0.014230017550289631,
-0.0016485699452459812,
-0.0011320990743115544,
-0.041814059019088745,
0.013607089407742023,
-0.038251686841249466,
-0.0031852074898779392,
0.014200817793607712,
0.007484872359782457,
-0.02986162342131138,
0.011290574446320534,
-0.04457830265164375,
0.0053970892913639545,
-0.00891566090285778,
-0.031029613688588142,
-0.0276035089045763,
0.004769294522702694,
-0.007265874184668064,
0.062409624457359314,
-0.011952435597777367,
0.0525985062122345,
0.07697056978940964,
-0.04975639656186104,
0.03015362098813057,
-0.008336531929671764,
0.03282053396105766,
-0.011767503805458546,
0.0031195080373436213,
-0.022912079468369484,
0.025403793901205063,
0.02080969698727131,
-0.0035064048133790493,
-0.003924934659153223,
-0.03101014718413353,
-0.04239805415272713,
-0.02024516835808754,
-0.002463730052113533,
-0.00958238821476698,
0.0392250157892704,
-0.019807172939181328,
0.010463248006999493,
0.07697056978940964,
0.014054819010198116,
-0.027350444346666336,
-0.03402745723724365,
0.040607135742902756,
0.04255378618836403,
0.027856573462486267,
0.0005359373171813786,
-0.02945282682776451,
-0.00013626556028611958,
0.005533354822546244,
-0.00425829878076911,
-0.004287498537451029,
0.022075019776821136,
-0.027564575895667076,
0.010618980042636395,
-0.03784289211034775,
-0.055713146924972534,
-0.04605775699019432,
-0.010716312564909458,
0.05104118585586548,
-0.0305040180683136,
0.005348423030227423,
-0.011066709645092487,
0.026182454079389572,
0.03157467767596245,
0.0004538129724096507,
0.019018778577446938,
-0.009733254089951515,
0.010998576879501343,
-0.0007214774377644062,
-0.043604977428913116,
0.002203365322202444,
0.04107433184981346,
-0.021997153759002686,
0.008531196974217892,
-0.016166934743523598,
-0.00293944263830781,
-0.02787603996694088,
-0.025111796334385872,
0.013548689894378185,
-0.05217024311423302,
-0.02289261296391487,
0.043877508491277695,
0.05555741488933563,
-0.0132664255797863,
0.025481659919023514,
-0.04072393476963043,
0.02509232982993126,
-0.012234700843691826,
-0.0017653689719736576,
-0.016780130565166473,
0.004674395080655813,
0.01315935980528593,
0.03743409365415573,
0.04169725999236107,
0.002688811393454671,
0.028129104524850845,
-0.013665488921105862,
-0.035195447504520416,
0.005572287831455469,
-0.0023785638622939587,
0.03373545780777931,
0.03320986405014992,
0.010959643870592117,
-0.014551214873790741,
-0.051586247980594635,
0.02509232982993126,
-0.011670171283185482,
-0.00859446357935667,
0.0106287132948637,
-0.04570735991001129,
0.02945282682776451,
0.001956384163349867,
-0.014814012683928013,
0.022970478981733322,
-0.030990680679678917,
0.0346309170126915,
0.02289261296391487,
-0.03398852422833443,
0.043371379375457764,
0.0035064048133790493,
-0.0004094050091225654,
0.015485607087612152,
-0.012993894517421722,
-0.04313778132200241,
-0.037103164941072464,
-0.040879666805267334,
0.00015147376689128578,
-0.033190395683050156,
-0.03914714977145195,
-0.016283733770251274,
0.004173132590949535,
-0.02803177200257778,
0.01450254861265421,
0.03599357232451439,
0.046369221061468124,
0.0012440315913408995,
0.02082916349172592,
-0.05392222851514816,
-0.03947807848453522,
-0.038543686270713806,
-0.021160094067454338,
-0.043877508491277695,
0.017733989283442497,
-0.0254621934145689,
-0.009874386712908745,
0.010609246790409088,
0.06540746986865997,
0.006652679294347763,
0.04656388610601425,
-0.0403735376894474,
-0.00706147588789463,
-0.04134686291217804,
0.004535696469247341,
-0.027408843860030174,
0.028576834127306938,
-0.03856315091252327,
0.0399063415825367,
-0.032976265996694565,
-0.050651855766773224,
0.03159414231777191,
-0.0033458061516284943,
-0.029394427314400673,
0.01975850574672222,
-0.005640420597046614,
-0.017500391229987144,
-0.04142472892999649,
-0.03328773006796837,
0.008779395371675491,
-0.0086966622620821,
0.030484551563858986,
0.005426289048045874,
0.030854415148496628,
-0.028790965676307678,
0.014960011467337608,
-0.008891327306628227,
0.0009301340905949473,
0.030134154483675957,
-0.008847528137266636,
-0.023632340133190155,
-0.005616087466478348,
-0.030542951077222824,
-0.013354024849832058,
0.003722969675436616,
0.02353500761091709,
0.027681374922394753,
0.007173408288508654,
-0.0038908682763576508,
-0.055713146924972534,
-0.04668068513274193,
-0.021218493580818176,
0.06054084002971649,
0.029978422448039055,
-0.021082228049635887,
0.04025673866271973,
-0.0003503971383906901,
-0.04547376185655594,
-0.012662963941693306,
-0.03574050962924957,
-0.02538432739675045,
0.008735595270991325,
-0.025267528370022774,
-0.012117900885641575,
-0.002322597661986947,
-0.02894669771194458,
-0.002260548295453191,
0.03529277816414833,
-0.03704476356506348,
0.03947807848453522,
-0.03642183542251587,
0.032041873782873154,
-0.011874569579958916
] |
Complex logical query answering (CLQA) is a recently emerged task of graph
machine learning that goes beyond simple one-hop link prediction and solves a
far more complex task of multi-hop logical reasoning over massive, potentially
incomplete graphs in a latent space. The task received a significant traction
in the community; numerous works expanded the field along theoretical and
practical axes to tackle different types of complex queries and graph
modalities with efficient systems. In this paper, we provide a holistic survey
of CLQA with a detailed taxonomy studying the field from multiple angles,
including graph types (modality, reasoning domain, background semantics),
modeling aspects (encoder, processor, decoder), supported queries (operators,
patterns, projected variables), datasets, evaluation metrics, and applications.
Refining the CLQA task, we introduce the concept of Neural Graph Databases
(NGDBs). Extending the idea of graph databases (graph DBs), NGDB consists of a
Neural Graph Storage and a Neural Graph Engine. Inside Neural Graph Storage, we
design a graph store, a feature store, and further embed information in a
latent embedding store using an encoder. Given a query, Neural Query Engine
learns how to perform query planning and execution in order to efficiently
retrieve the correct results by interacting with the Neural Graph Storage.
Compared with traditional graph DBs, NGDBs allow for a flexible and unified
modeling of features in diverse modalities using the embedding store. Moreover,
when the graph is incomplete, they can provide robust retrieval of answers
which a normal graph DB cannot recover. Finally, we point out promising
directions, unsolved problems and applications of NGDB for future research. | [
0.014591007493436337,
0.002266189781948924,
-0.04770565405488014,
0.015807637944817543,
0.023904234170913696,
0.0005777927581220865,
-0.004442417528480291,
0.014967991039156914,
-0.04527239128947258,
0.038315314799547195,
0.05452564358711243,
-0.02563493512570858,
0.007471144199371338,
-0.03694446384906769,
-0.06686331331729889,
0.04976193234324455,
-0.033568739891052246,
-0.0049821906723082066,
-0.0038747992366552353,
-0.046403344720602036,
0.00258105737157166,
0.020528510212898254,
0.024641066789627075,
0.024658203125,
0.04078285023570061,
0.002923770574852824,
0.027639806270599365,
0.016989998519420624,
-0.09321794658899307,
0.06401879340410233,
0.022550517693161964,
0.016964294016361237,
0.06244231387972832,
-0.02654312364757061,
-0.051852479577064514,
-0.02138529345393181,
0.043935809284448624,
-0.009364633820950985,
0.0029987390153110027,
0.036807380616664886,
0.007586809806525707,
-0.007912387140095234,
-0.02249911054968834,
0.014985127374529839,
0.030090203508734703,
-0.036464665085077286,
0.007286935579031706,
-0.03223216161131859,
-0.02856513112783432,
0.004913648124784231,
0.019174793735146523,
0.0008198338327929378,
0.047945551574230194,
-0.01883208006620407,
-0.021248208358883858,
-0.013759927824139595,
0.01429970096796751,
-0.017529770731925964,
0.03526517003774643,
0.016655853018164635,
0.013331537134945393,
0.014916584827005863,
-0.050138916820287704,
-0.036464665085077286,
0.04187953099608421,
-0.026628801599144936,
0.024144133552908897,
-0.019380422309041023,
0.05856965482234955,
-0.05366886034607887,
-0.013194451108574867,
0.018163790926337242,
-0.006327339448034763,
-0.05582795292139053,
0.003791262861341238,
0.01744409278035164,
-0.04287340119481087,
0.03697873651981354,
0.019260471686720848,
0.002377571538090706,
0.07375184446573257,
0.02064845897257328,
-0.024949507787823677,
0.008756318129599094,
0.06299065798521042,
-0.03267768770456314,
-0.024538252502679825,
-0.056033581495285034,
0.01848936825990677,
-0.017067108303308487,
0.016647284850478172,
-0.04345601052045822,
0.020185796543955803,
-0.047945551574230194,
0.01644165813922882,
-0.022481974214315414,
0.0020894785411655903,
-0.004618057981133461,
-0.042119432240724564,
0.03776697441935539,
-0.03445979580283165,
-0.02061418816447258,
0.024572523310780525,
0.012748925015330315,
0.025412170216441154,
-0.0390692837536335,
0.0051706829108297825,
0.03149532899260521,
-0.007895251736044884,
0.09404045343399048,
0.007912387140095234,
0.046094901859760284,
-0.03574496880173683,
0.0013397937873378396,
-0.006738594733178616,
0.01246618665754795,
-0.040337324142456055,
-0.03488818556070328,
0.012843171134591103,
-0.032557737082242966,
0.0007528977002948523,
0.0004358881269581616,
-0.038658030331134796,
-0.05716453120112419,
-0.059803422540426254,
0.09198417514562607,
-0.010812596417963505,
-0.05747297406196594,
-0.017221329733729362,
0.02131674997508526,
-0.04153681918978691,
-0.0037569915875792503,
-0.020065847784280777,
-0.030775628983974457,
0.04160536080598831,
0.036601752042770386,
0.014865177683532238,
0.022653331980109215,
-0.006314487662166357,
-0.007214109413325787,
0.0014533174689859152,
-0.05048162862658501,
-0.012620407156646252,
-0.04983047395944595,
0.04006315395236015,
0.01768399216234684,
0.00012657624029088765,
0.08040047436952591,
-0.004810834303498268,
-0.00018889378407038748,
-0.054045844823122025,
0.05318906158208847,
0.019825948402285576,
0.009141869843006134,
-0.02633749693632126,
0.019243337213993073,
-0.014308269135653973,
-0.03547079861164093,
0.015859045088291168,
-0.01657874323427677,
0.052126649767160416,
-0.019191930070519447,
0.004515244159847498,
0.019329015165567398,
-0.0054148659110069275,
0.0491107776761055,
0.0394119992852211,
-0.021950770169496536,
-0.05743870511651039,
0.03715009242296219,
0.008550690487027168,
0.05332614853978157,
-0.02155664935708046,
0.01859218254685402,
0.008782021701335907,
-0.01091540977358818,
0.10281390696763992,
-0.028582265600562096,
-0.007749598473310471,
0.03543652594089508,
-0.020168662071228027,
-0.06950220465660095,
0.03697873651981354,
0.005046449135988951,
0.03708155080676079,
0.026217546314001083,
0.0387951135635376,
0.01710994727909565,
0.03209507465362549,
-0.01855790987610817,
-0.0044381339102983475,
0.03615622594952583,
0.0005933219217695296,
-0.05126987025141716,
-0.010469882749021053,
-0.05370313301682472,
-0.024195538833737373,
0.034168489277362823,
-0.03075849451124668,
-0.038315314799547195,
-0.046094901859760284,
-0.04153681918978691,
0.031341105699539185,
0.03571069613099098,
0.06439577788114548,
0.044244252145290375,
-0.007269800174981356,
-0.0345626100897789,
0.0072655160911381245,
-0.026114732027053833,
-0.03896646946668625,
0.06778863817453384,
-0.06131136044859886,
-0.06381316483020782,
0.026731615886092186,
-0.010786892846226692,
-0.020357154309749603,
-0.06316201388835907,
-0.024178404361009598,
-0.016193190589547157,
0.003482821164652705,
0.01998016983270645,
0.059837695211172104,
0.020117254927754402,
-0.031204020604491234,
-0.03152959793806076,
0.008019484579563141,
-0.036224767565727234,
-0.007166986353695393,
-0.009004784747958183,
0.021128257736563683,
0.0675487369298935,
0.000833221070934087,
-0.006348758935928345,
-0.01344291865825653,
0.00682855723425746,
0.019209064543247223,
-0.04691741243004799,
-0.03264341503381729,
0.04760283976793289,
0.0147880669683218,
-0.002790969330817461,
-0.007621081080287695,
0.021436700597405434,
0.07279224693775177,
-0.025686342269182205,
-0.046094901859760284,
-0.0123633723706007,
0.022516245022416115,
0.00786526408046484,
-0.01593615487217903,
-0.010178577154874802,
0.0244525745511055,
-0.012628975324332714,
-0.06316201388835907,
0.034716829657554626,
0.038075417280197144,
-0.009398904629051685,
0.006472992245107889,
-0.06446432322263718,
0.03704727813601494,
-0.024641066789627075,
-0.011695082299411297,
0.033637285232543945,
-0.04486113414168358,
0.003705584676936269,
0.03701300546526909,
0.002658167853951454,
0.0198773555457592,
0.034134216606616974,
0.03128970041871071,
-0.0387265719473362,
-0.05366886034607887,
0.023767149075865746,
-0.05109851062297821,
-0.07251807302236557,
0.000928002642467618,
-0.00845644436776638,
-0.02434976026415825,
0.0035620734561234713,
0.0009740546811372042,
-0.050378814339637756,
-0.016330275684595108,
0.022276347503066063,
-0.038520943373441696,
-0.0006575806182809174,
-0.026937244459986687,
-0.020836951211094856,
-0.04074857756495476,
0.013348672538995743,
-0.050001829862594604,
0.0020102260168641806,
-0.03557361289858818,
0.011583700776100159,
0.038486674427986145,
0.005941787268966436,
0.044449880719184875,
0.012157744728028774,
0.04736294224858284,
-0.04534093290567398,
-0.04732866957783699,
-0.006738594733178616,
0.006922803353518248,
0.022790417075157166,
-0.059906236827373505,
-0.013665681704878807,
0.0016096802428364754,
0.09308085590600967,
-0.042599231004714966,
-0.004678032826632261,
-0.004943635314702988,
0.006280216388404369,
-0.01093254517763853,
-0.010135738179087639,
0.025155136361718178,
0.09691924601793289,
0.020254340022802353,
0.0052263736724853516,
-0.012586136348545551,
-0.044347066432237625,
0.04736294224858284,
0.01883208006620407,
-0.1346176713705063,
0.021231072023510933,
0.0008557115797884762,
-0.017392685636878014,
0.01175505667924881,
0.0019620321691036224,
-0.027228549122810364,
0.009587396867573261,
-0.023253079503774643,
-0.025823427364230156,
-0.03379150480031967,
0.014102641493082047,
0.006134563125669956,
-0.038281045854091644,
0.012046363204717636,
0.0394119992852211,
-0.03331170603632927,
-0.008366481401026249,
-0.01859218254685402,
-0.03195799142122269,
-0.05308624729514122,
0.006190253887325525,
0.009998652152717113,
-0.053805943578481674,
-0.04575219005346298,
0.0010056485189124942,
0.04287340119481087,
0.02988457679748535,
0.0007984142284840345,
0.04170817509293556,
-0.04537520557641983,
-0.017169922590255737,
0.04534093290567398,
0.011815031990408897,
-0.06672623008489609,
-0.017838213592767715,
0.002769549610093236,
0.06998199969530106,
-0.02741704136133194,
-0.0590151846408844,
0.002634606324136257,
0.042359329760074615,
-0.10062054544687271,
-0.04900796338915825,
-0.010546993464231491,
0.029901711270213127,
-0.04071430861949921,
-0.04801409691572189,
-0.025549255311489105,
0.03425416722893715,
-0.011917845346033573,
-0.010692646726965904,
-0.01974027045071125,
0.010178577154874802,
0.02375001274049282,
-0.03882938623428345,
0.006781434174627066,
0.030638543888926506,
0.027057193219661713,
0.028445180505514145,
0.04503249004483223,
0.02169373445212841,
-0.02159092016518116,
0.024778151884675026,
0.014976559206843376,
-0.02866794541478157,
-0.03550507128238678,
0.0029066349379718304,
0.015473493374884129,
-0.02570347674190998,
0.004523811861872673,
-0.05092715471982956,
0.05479981377720833,
-0.03684164956212044,
0.015721959993243217,
0.01630457304418087,
-0.00897908117622137,
0.005256360862404108,
-0.009398904629051685,
-0.003911212552338839,
0.0010051130084320903,
0.0297817625105381,
-0.0025532119907438755,
-0.034751102328300476,
0.015464925207197666,
-0.007072740234434605,
-0.0011448756558820605,
0.019071979448199272,
-0.03399713337421417,
-0.019020572304725647,
-0.021265342831611633,
-0.027896840125322342,
0.01261183898895979,
0.021745141595602036,
-0.03509381413459778,
0.051852479577064514,
0.023133128881454468,
0.021710870787501335,
-0.07053034007549286,
0.03697873651981354,
0.02458965964615345,
-0.009167573414742947,
-0.045992087572813034,
0.013100205920636654,
-0.01332296896725893,
-0.0038041146472096443,
-0.0028916411101818085,
-0.08458157628774643,
0.02573774755001068,
-0.004840821493417025,
0.07148993760347366,
-0.01768399216234684,
-0.03132396936416626,
-0.03577924147248268,
-0.012671814300119877,
0.016450224444270134,
-0.036190494894981384,
0.024898100644350052,
0.006353042554110289,
-0.027297092601656914,
-0.008996216580271721,
0.01163510698825121,
-0.038075417280197144,
0.02183081954717636,
-0.023698605597019196,
-0.03156387060880661,
-0.008696342818439007,
-0.026251817122101784,
-0.012046363204717636,
0.014016962610185146,
-0.08314218372106552,
-0.030038796365261078,
0.0044038621708750725,
0.008340778760612011,
-0.0006618645275011659,
0.013382943347096443,
0.051749665290117264,
-0.028976386412978172,
0.03187230974435806,
0.07416310161352158,
-0.020065847784280777,
-0.06761728227138519,
-0.029661811888217926,
0.03715009242296219,
0.024007048457860947,
-0.040097422897815704,
0.0005464666173793375,
-0.0055562350898981094,
-0.012937416322529316,
-0.010178577154874802,
0.005838972982019186,
-0.011455182917416096,
-0.05877528339624405,
0.003988322801887989,
0.04746575281023979,
-0.03718436509370804,
0.005423433613032103,
0.02037428878247738,
0.06268221139907837,
0.06792572140693665,
0.028976386412978172,
0.05336041748523712,
-0.05192102491855621,
0.030210154131054878,
0.0198430847376585,
-0.01441965065896511,
-0.005864676553755999,
-0.08231966942548752,
-0.009201845154166222,
-0.009227548725903034,
-0.02438403107225895,
-0.04657470062375069,
0.0028445180505514145,
0.019071979448199272,
-0.01477093156427145,
-0.002833808306604624,
0.03797260299324989,
0.03411708027124405,
-0.011926413513720036,
-0.02580629102885723,
-0.007711043115705252,
0.048185452818870544,
-0.018540775403380394,
0.021847955882549286,
0.024007048457860947,
0.03553934022784233,
-0.032352108508348465,
-0.018643587827682495,
-0.0033950009383261204,
-0.054011572152376175,
-0.016415953636169434,
-0.012860306538641453,
-0.016287436708807945,
-0.02482955902814865,
-0.013785631395876408,
-0.07196973264217377,
0.02859940193593502,
0.034511201083660126,
0.031341105699539185,
-0.011018224060535431,
-0.022259211167693138,
0.012757492251694202,
-0.04760283976793289,
-0.020014440640807152,
0.001431897864677012,
0.010923977941274643,
0.012757492251694202,
-0.022276347503066063,
-0.01177219208329916,
0.007248380687087774,
-0.010992520488798618,
-0.00659294193610549,
0.02351011335849762,
0.0027309944853186607,
0.028119603171944618,
0.012251990847289562,
0.003075849497690797,
-0.030809901654720306,
-0.030158746987581253,
0.061962515115737915,
-0.016090376302599907,
0.03553934022784233,
0.031855177134275436,
-0.009424608200788498,
0.0026538840029388666,
-0.044038623571395874,
-0.002469675848260522,
-0.024161268025636673,
-0.027040058746933937,
-0.03315748646855354,
0.04194807633757591,
-0.01859218254685402,
0.008075175806879997,
-0.01590188406407833,
0.022687602788209915,
-0.022481974214315414,
0.005234941374510527,
-0.005007894244045019,
0.024812422692775726,
0.019757406786084175,
-0.019089115783572197,
0.011086766608059406,
0.01643308997154236,
-0.04263349995017052,
0.011172444559633732,
0.005697604268789291,
-0.04122837632894516,
0.01593615487217903,
-0.03958335518836975,
0.016458792611956596,
-0.03139251470565796,
0.007826709188520908,
-0.016493065282702446,
0.008207976818084717,
0.02671448141336441,
-0.016296004876494408,
0.036430396139621735,
0.03384291008114815,
0.0037826949264854193,
0.010983952321112156,
0.017701128497719765,
0.06984491646289825,
0.014479625038802624,
-0.012534729205071926,
-0.0495220310986042,
-0.004346029367297888,
0.03526517003774643,
-0.01332296896725893,
0.01030709408223629,
0.055965036153793335,
-0.014642413705587387,
-0.02835950255393982,
0.03396286070346832,
0.020014440640807152,
0.023390164598822594,
-0.028650809079408646,
0.029387641698122025,
-0.059734880924224854,
0.01173792127519846,
-0.011463751085102558,
0.05068725720047951,
0.038418129086494446,
0.02141956426203251,
-0.025052322074770927,
0.003945483826100826,
-0.010572697035968304,
-0.02047710306942463,
0.03389431908726692,
-0.02159092016518116,
-0.0038169664330780506,
0.046403344720602036,
-0.09068186581134796,
0.022276347503066063,
-0.018112383782863617,
0.016193190589547157,
-0.018369417637586594,
-0.00039974262472242117,
-0.04448414966464043,
0.009424608200788498,
-0.027879705652594566,
0.02176227793097496,
0.004935067612677813,
-0.03533371165394783,
0.03243778645992279,
-0.00261104479432106,
-0.02765694074332714,
-0.008190841414034367,
0.005286348517984152,
-0.04294194281101227,
0.005127843469381332,
-0.0027010070625692606,
-0.048562437295913696,
-0.03797260299324989,
-0.009244684129953384,
-0.00799806509166956,
0.052469365298748016,
0.009013352915644646,
0.005898947827517986,
-0.03776697441935539,
0.012886010110378265,
-0.008430740796029568,
0.0495905764400959,
-0.008156569674611092,
0.013939852826297283,
-0.024024182930588722,
0.002272615674883127,
0.0293019637465477,
0.025652069598436356,
0.021093986928462982,
0.01946610026061535,
0.02131674997508526,
0.03790406137704849,
-0.03588205575942993,
0.0008905183640308678,
0.030844172462821007,
-0.011789328418672085,
0.014531032182276249,
0.012269126251339912,
0.00561620993539691,
0.0035106665454804897,
0.015002262778580189,
0.0025746317114681005,
-0.003572783200070262,
-0.03492245823144913,
0.0022383444011211395,
0.007115579210221767,
0.01674153096973896,
0.04366163909435272,
0.01744409278035164,
-0.011189579963684082,
-0.031855177134275436,
-0.007582525722682476,
-0.011780760250985622,
-0.01597042754292488,
0.0020573490764945745,
-0.021162528544664383,
0.004328893963247538,
0.00037162943044677377,
-0.038041144609451294,
-0.04287340119481087,
0.008263668045401573,
-0.03233497589826584,
-0.020905494689941406,
-0.0198430847376585,
0.03302039951086044,
-0.018986301496624947,
-0.01513934787362814,
-0.008143718354403973,
-0.008023768663406372,
-0.0297817625105381,
-0.0033628714736551046,
-0.027160007506608963,
-0.018129518255591393,
0.018814945593476295,
0.02633749693632126,
-0.012251990847289562,
0.004763711243867874,
-0.009338930249214172,
-0.0193632859736681,
0.002343300264328718,
0.027982518076896667,
0.011240987107157707,
-0.013134476728737354,
0.04753429815173149,
0.002925912383943796,
0.0014800919452682137,
-0.04462123662233353,
0.01950037106871605,
-0.006640064995735884,
-0.0023497261572629213,
0.016595877707004547,
0.02873648703098297,
-0.0028488021343946457,
-0.002446114318445325,
-0.0036306162364780903,
-0.03752707690000534,
0.039274912327528,
0.02135102078318596,
0.0026538840029388666,
-0.004048297647386789,
0.010452747344970703,
-0.040371593087911606,
-0.030741358175873756,
0.003984038718044758,
-0.004211086314171553,
-0.010615536011755466,
-0.008850564248859882,
-0.0002721623459365219,
0.01886635273694992,
-0.014993694610893726,
0.027108600363135338,
-0.002173014683648944,
-0.005941787268966436,
-0.011566564440727234,
0.047979824244976044,
0.023184536024928093,
0.0006115285796113312,
-0.05102996900677681,
0.004678032826632261,
-0.002354010008275509,
-0.0023711456451565027,
-0.029490455985069275,
-0.012800331227481365,
0.03529944270849228,
0.014496761374175549,
-0.011018224060535431,
-0.01599613018333912,
0.00946744717657566,
0.004575219005346298,
-0.06038603559136391,
0.02853086031973362,
-0.01663871668279171,
-0.025549255311489105,
0.0031829471699893475,
0.0030094487592577934,
-0.03917209804058075,
0.014359676279127598,
-0.0006939938757568598,
-0.00643443688750267,
0.05377167463302612,
-0.03212934732437134,
0.010512721724808216,
0.05147549510002136,
-0.02145383507013321,
-0.054251473397016525,
-0.014393947087228298,
-0.04160536080598831,
-0.06052311882376671,
0.012740356847643852,
0.017769670113921165,
0.06881677359342575,
-0.02870221622288227,
0.0022062151692807674,
0.023492978885769844,
-0.02088835835456848,
0.009724481962621212,
-0.02280755154788494,
0.0011277400190010667,
-0.042050886899232864,
0.05572513863444328,
0.007008481305092573,
0.014428218826651573,
-0.06066020578145981,
-0.021470971405506134,
0.01778680644929409,
-0.04390154033899307,
0.0488366074860096,
-0.012089202180504799,
-0.010478450916707516,
-0.027948247268795967,
0.021076850593090057,
0.02738277055323124,
0.07368329912424088,
0.0008840925293043256,
0.005427717696875334,
-0.010478450916707516,
-0.02193363383412361,
-0.005778998602181673,
0.0486309789121151,
-0.028479453176259995,
0.02546357735991478,
0.042427871376276016,
-0.036601752042770386,
-0.017598314210772514,
-0.02779402583837509,
0.025018051266670227,
0.009535989724099636,
0.020665595307946205,
0.03038151003420353,
0.028479453176259995,
-0.0011352369328960776,
0.002015580888837576,
0.058055587112903595,
-0.04064576327800751,
-0.011429479345679283,
0.014308269135653973,
-0.004935067612677813,
-0.0022147828713059425,
-0.05771287530660629,
-0.022687602788209915,
0.018232332542538643,
-0.01646736077964306,
-0.036293309181928635,
-0.036190494894981384,
0.017992433160543442,
-0.021111123263835907,
0.06295638531446457,
-0.016998566687107086,
0.008195125497877598,
0.032386381179094315,
-0.042325057089328766,
0.003555647563189268,
-0.05360031872987747,
0.06072874739766121,
0.024641066789627075,
-0.017032837495207787,
0.07025617361068726,
0.040268782526254654,
-0.021573785692453384,
-0.008713479153811932,
0.0396176241338253,
-0.04712304100394249,
-0.027194278314709663,
0.023201672360301018,
0.022550517693161964,
-0.042050886899232864,
-0.03780124709010124,
0.036293309181928635,
0.0007127359858714044,
0.04143400490283966,
0.03519662842154503,
0.026149004697799683,
-0.014822338707745075,
-0.024435438215732574,
-0.013314400799572468,
0.07546541094779968,
-0.014119776897132397,
-0.002649600151926279,
0.026183275505900383,
-0.032180752605199814,
-0.05106424167752266,
0.004917931742966175,
0.007286935579031706,
-0.03540225699543953,
0.02357865683734417,
-0.04085139185190201,
0.011318097822368145,
-0.01599613018333912,
0.03488818556070328,
0.013348672538995743,
-0.02532649226486683,
0.05288061872124672,
0.04095420613884926,
-0.008032336831092834,
0.007428304757922888,
0.006897099781781435,
0.0395490825176239,
-0.042119432240724564,
0.0013537164777517319,
0.008280803449451923,
-0.0394805409014225,
-0.007226960733532906,
0.04307902604341507,
-0.0014222590252757072,
-0.04722585529088974,
-0.05096142739057541,
-0.008816292509436607,
-0.011994956061244011,
-0.026131868362426758,
0.034134216606616974,
-0.019791677594184875,
0.003934774082154036,
-0.008799157105386257,
0.026697345077991486,
-0.015816206112504005,
0.01636454649269581,
-0.012440483085811138,
-0.011343801394104958,
0.024880966171622276,
-0.012928849086165428,
0.012517592869699001,
-0.038246773183345795,
-0.0029794613365083933,
-0.024298353120684624,
0.024075590074062347,
-0.03694446384906769,
0.022687602788209915,
-0.03677310794591904,
0.00165251933503896,
0.019825948402285576,
-0.009407472796738148,
-0.03195799142122269,
-0.002728852443397045,
-0.008169421926140785,
-0.007719610817730427,
-0.052332278341054916,
0.0037784110754728317,
0.035984866321086884,
0.04311329871416092,
0.04684887081384659,
0.0033243163488805294,
0.04283912852406502,
-0.02095690183341503,
-0.005269212648272514,
-0.02159092016518116,
-0.018437961116433144,
0.010024355724453926,
0.001289457781240344,
-0.04516957700252533,
0.006151698995381594,
0.04359309747815132,
0.02236202545464039,
0.02570347674190998,
-0.02092263102531433,
0.0022768997587263584,
-0.02388709783554077,
-0.0009312155307270586,
-0.012963119894266129,
-0.032626278698444366,
-0.038143958896398544,
-0.0035020988434553146,
0.01381133496761322,
-0.01792389154434204,
0.010101466439664364,
0.016921455040574074,
0.02573774755001068,
-0.0015464925672858953,
0.04715731367468834,
0.0009446027688682079,
0.003446407848969102,
0.018112383782863617,
-0.006695755757391453,
-0.0018667150288820267,
0.003043720033019781,
-0.02765694074332714,
-0.05092715471982956,
-0.03595059737563133,
0.009990084916353226,
0.015584874898195267,
-0.007342626806348562,
0.023921368643641472,
-0.03132396936416626,
-0.003906928468495607,
0.027708347886800766,
-0.030193017795681953,
-0.021676598116755486,
-0.013888445682823658,
0.01657017506659031,
0.019020572304725647,
0.04109129309654236,
-0.0020648459903895855,
0.040440138429403305,
0.04078285023570061,
0.018677860498428345,
0.04290767014026642,
0.008692058734595776,
-0.000279257568763569,
0.025720613077282906,
0.03978898376226425,
0.042393602430820465,
0.00019290995260234922,
0.026971515268087387,
0.03041578084230423,
-0.01640738546848297,
0.05521106719970703,
0.01142091117799282,
0.0034485498908907175,
0.040097422897815704,
-0.026765886694192886,
0.013965555466711521,
0.01831801049411297,
0.02947331964969635,
-0.06727457046508789,
0.04575219005346298,
0.02081981673836708,
-0.015302136540412903,
0.019106252118945122,
-0.01616748794913292,
0.03711581975221634,
-0.07053034007549286,
0.0196031853556633,
0.012945984490215778,
-0.0051706829108297825,
-0.02529222145676613,
0.0195689145475626,
-0.017272736877202988,
-0.032386381179094315,
0.07094159722328186,
0.0034121365752071142,
-0.0032514899503439665,
-0.021042579784989357,
0.008927674032747746,
-0.044141437858343124,
-0.015456357970833778,
-0.05497116968035698,
0.017906755208969116,
-0.022961772978305817,
-0.02630322426557541,
-0.027674077078700066,
-0.03577924147248268,
-0.004097562748938799,
-0.03187230974435806
] |
Explainable AI (XAI) has established itself as an important component of
AI-driven interactive systems. With Augmented Reality (AR) becoming more
integrated in daily lives, the role of XAI also becomes essential in AR because
end-users will frequently interact with intelligent services. However, it is
unclear how to design effective XAI experiences for AR. We propose XAIR, a
design framework that addresses "when", "what", and "how" to provide
explanations of AI output in AR. The framework was based on a
multi-disciplinary literature review of XAI and HCI research, a large-scale
survey probing 500+ end-users' preferences for AR-based explanations, and three
workshops with 12 experts collecting their insights about XAI design in AR.
XAIR's utility and effectiveness was verified via a study with 10 designers and
another study with 12 end-users. XAIR can provide guidelines for designers,
inspiring them to identify new design opportunities and achieve effective XAI
designs in AR. | [
-0.008471013978123665,
-0.01861262507736683,
-0.036389950662851334,
-0.04750305041670799,
0.06824024021625519,
0.010023579001426697,
-0.018739735707640648,
0.018594466149806976,
-0.012529473751783371,
0.03059733845293522,
-0.02979835867881775,
-0.027891699224710464,
0.036734964698553085,
0.005275090225040913,
-0.026021357625722885,
0.002305014757439494,
0.011467192322015762,
0.0007388304220512509,
-0.06994715332984924,
-0.025167901068925858,
0.052079033106565475,
0.003027956234291196,
-0.014245467260479927,
0.0014878750080242753,
0.07590319216251373,
0.023606255650520325,
0.03106946498155594,
-0.014027563855051994,
-0.059306178241968155,
0.039222702383995056,
0.016923869028687477,
0.012302490882575512,
0.01573447696864605,
-0.009124726057052612,
-0.028236713260412216,
-0.0017069138120859861,
0.026675069704651833,
0.017586659640073776,
-0.019066590815782547,
0.10590129345655441,
-0.0348464660346508,
-0.010731766931712627,
0.03853267431259155,
0.016388189047574997,
-0.04873783886432648,
-0.10357698798179626,
-0.06148521602153778,
-0.021445374935865402,
-0.05378594622015953,
-0.0130560752004385,
0.0008284887881018221,
-0.018848687410354614,
0.046050358563661575,
0.018721576780080795,
-0.006809496786445379,
0.031432636082172394,
0.0039018415845930576,
-0.010867957025766373,
0.06413637846708298,
-0.03181396797299385,
0.03798791393637657,
0.006341911386698484,
0.0005144007154740393,
-0.017259804531931877,
-0.010804401710629463,
-0.06638805568218231,
-0.019030272960662842,
0.020174268633127213,
-0.05818033963441849,
-0.008552728220820427,
0.0031074003782123327,
0.01599777862429619,
-0.006450863089412451,
-0.010559259913861752,
-0.0021835786756128073,
-0.028835948556661606,
0.04212808609008789,
-0.0022664275020360947,
-0.015035368502140045,
0.025966880843043327,
0.06533484905958176,
0.03061549738049507,
0.011094939894974232,
-0.0060468330048024654,
0.026402689516544342,
-0.03809686377644539,
0.022716481238603592,
-0.07016505300998688,
-0.005815310403704643,
-0.032522156834602356,
-0.0441981740295887,
0.023878635838627815,
-0.04270916432142258,
-0.03642626851797104,
-0.011485351249575615,
-0.0029939087107777596,
-0.0009845397435128689,
-0.0013596295611932874,
-0.013755183666944504,
-0.0415470115840435,
0.022062769159674644,
-0.014545084908604622,
0.018503673374652863,
0.009696723893284798,
-0.004843822214752436,
-0.04579613730311394,
-0.012465918436646461,
-0.027237987145781517,
-0.024405237287282944,
0.1104772761464119,
-0.04768463596701622,
-0.0041901106014847755,
-0.06660595536231995,
-0.019720302894711494,
-0.04506979137659073,
0.01928449422121048,
-0.0328308530151844,
-0.06123099476099014,
-0.005946960765868425,
0.0037747309543192387,
-0.0020950553007423878,
0.01923001930117607,
0.056219205260276794,
0.0020791664719581604,
-0.027710111811757088,
0.06660595536231995,
0.05908827483654022,
-0.049391549080610275,
0.06653332710266113,
0.014962734654545784,
0.0475756861269474,
0.08628994226455688,
0.0011491025798022747,
-0.001979293767362833,
0.0024786568246781826,
0.01687847264111042,
-0.015262352302670479,
0.01848551444709301,
-0.020791662856936455,
0.007889936678111553,
-0.014581402763724327,
-0.03824213519692421,
-0.05785348638892174,
0.006269276607781649,
0.00271244952455163,
-0.0012098206207156181,
-0.03500989452004433,
0.03835108503699303,
-0.05458492785692215,
-0.00005025550490245223,
-0.01768653281033039,
0.02264384739100933,
-0.017641136422753334,
-0.021808547899127007,
0.0629742294549942,
-0.013192265294492245,
-0.019266337156295776,
-0.06155785173177719,
0.013836897909641266,
0.018058786168694496,
0.05400384962558746,
-0.04329024255275726,
-0.006219340488314629,
0.0562555231153965,
0.07107298821210861,
-0.039622191339731216,
-0.03535490855574608,
-0.000047028086555656046,
0.0024922757875174284,
0.05400384962558746,
-0.019865572452545166,
-0.0062647368758916855,
-0.011676017194986343,
0.020882457494735718,
-0.028073284775018692,
0.02598503977060318,
0.019066590815782547,
-0.0015832079807296395,
-0.08563622832298279,
-0.03669864684343338,
-0.06715071946382523,
-0.023878635838627815,
0.003032495966181159,
-0.0031959237530827522,
0.010604656301438808,
0.013537279330193996,
0.09834729135036469,
-0.055892348289489746,
-0.005057186353951693,
-0.023188605904579163,
0.013555438257753849,
-0.004006254021078348,
0.03864162415266037,
-0.008130539208650589,
-0.00947881955653429,
-0.0401669517159462,
0.014018484391272068,
-0.07938965409994125,
-0.03704366087913513,
-0.040965933352708817,
-0.06206629425287247,
-0.0014912798069417477,
-0.005034488160163164,
0.005715437699109316,
0.013183185830712318,
0.005937881302088499,
-0.002953051822260022,
-0.015334987081587315,
0.0000996598246274516,
-0.017432311549782753,
0.01740507408976555,
0.02800065092742443,
-0.011131257750093937,
-0.06141258031129837,
-0.023007020354270935,
-0.00592426210641861,
-0.007490446325391531,
-0.01948424056172371,
0.011603382416069508,
-0.014000325463712215,
0.025022631511092186,
0.022008294239640236,
0.03608125448226929,
0.01587974652647972,
0.06391847878694534,
0.0011916619259864092,
-0.0069956229999661446,
-0.011076781898736954,
0.018331164494156837,
-0.012774615548551083,
-0.01734151877462864,
0.02436891943216324,
-0.003631731728091836,
0.008843266405165195,
0.04586876928806305,
0.0047984253615140915,
0.016760442405939102,
-0.011022305116057396,
0.0005603648605756462,
-0.010305038653314114,
-0.04960945248603821,
-0.01921186037361622,
-0.02062823623418808,
-0.03163238242268562,
0.08817844092845917,
-0.02157248556613922,
0.036408111453056335,
0.0200834758579731,
0.03557281196117401,
0.011512589640915394,
0.033175867050886154,
0.06609751284122467,
0.020482966676354408,
0.01001449953764677,
0.008634441532194614,
0.08164132386445999,
0.021281946450471878,
-0.017178090289235115,
0.05276906117796898,
0.015788953751325607,
0.05767189711332321,
0.0311420988291502,
0.05051738768815994,
0.0304702278226614,
-0.04877415671944618,
-0.04536032676696777,
0.04917364567518234,
-0.006169403903186321,
0.009923706762492657,
-0.07081876695156097,
0.046522483229637146,
-0.021935658529400826,
0.014563243836164474,
0.0030415751971304417,
-0.020337697118520737,
0.0061784833669662476,
0.018530910834670067,
0.04172859713435173,
0.04666775092482567,
0.02356993779540062,
-0.005715437699109316,
0.0047484892420470715,
0.03599046170711517,
-0.015380383469164371,
-0.02356993779540062,
-0.030433911830186844,
-0.02825487218797207,
-0.00944250263273716,
-0.059378813952207565,
-0.011975634843111038,
-0.011775889433920383,
-0.0037316041998565197,
-0.012266173958778381,
-0.00045793867320753634,
0.06326476484537125,
-0.01074992585927248,
0.0073270187713205814,
-0.01376426313072443,
0.023061495274305344,
-0.04841098189353943,
-0.02222619764506817,
-0.01252039521932602,
-0.017395993694663048,
0.04565086588263512,
0.03871425986289978,
0.055492859333753586,
-0.006455402821302414,
0.12493156641721725,
-0.03777001053094864,
-0.0014004865661263466,
0.04706724360585213,
-0.01165785826742649,
-0.012901726178824902,
-0.02792801707983017,
0.021717755123972893,
0.027092717587947845,
0.031922921538352966,
-0.029435185715556145,
-0.01901211589574814,
-0.004589600954204798,
0.029925469309091568,
0.0021211581770330667,
-0.0984925627708435,
0.023533621802926064,
-0.021263789385557175,
-0.035191480070352554,
-0.025676341727375984,
-0.018794210627675056,
0.03508252650499344,
-0.028835948556661606,
-0.07713797688484192,
0.01587066799402237,
-0.01124928891658783,
0.0034478751476854086,
-0.003046114929020405,
-0.0251134242862463,
-0.02738325670361519,
0.008044285699725151,
-0.0468856543302536,
-0.012965281493961811,
0.0009607065003365278,
-0.058361928910017014,
-0.08338455855846405,
-0.032576631754636765,
-0.026275578886270523,
-0.07757379114627838,
0.014245467260479927,
-0.004287713207304478,
0.017087297514081,
0.004911917261779308,
0.0009521946194581687,
-0.006732322741299868,
-0.009306312538683414,
-0.03099682927131653,
0.0030778925865888596,
-0.020864298567175865,
0.021336423233151436,
-0.03094235435128212,
0.06642436981201172,
0.02927175723016262,
0.06591592729091644,
-0.04706724360585213,
-0.05592866614460945,
0.03644442558288574,
-0.04928259924054146,
0.011394557543098927,
-0.04514242336153984,
0.014744830317795277,
-0.025948721915483475,
-0.004344459157437086,
-0.00011604517203522846,
0.0743415430188179,
-0.012938044033944607,
0.005670040845870972,
0.005356804002076387,
-0.0077719055116176605,
-0.0142363877967,
-0.011240209452807903,
-0.022462259978055954,
0.038060545921325684,
0.013709787279367447,
-0.013137789443135262,
-0.03232241049408913,
0.03232241049408913,
-0.04575981944799423,
0.06922080367803574,
0.03288533166050911,
-0.0027510367799550295,
0.05059002339839935,
0.05650974437594414,
0.008489172905683517,
-0.01091335341334343,
-0.0529143288731575,
-0.03308507427573204,
0.04870152100920677,
-0.004317220766097307,
0.04750305041670799,
0.004467030055820942,
0.10699081420898438,
-0.010214244946837425,
-0.025494756177067757,
0.0002044267748715356,
0.02002899907529354,
0.009011234156787395,
0.024804726243019104,
0.004930075723677874,
-0.025476597249507904,
0.027782747521996498,
0.05672764778137207,
-0.0160794910043478,
0.012901726178824902,
0.03375694528222084,
-0.0314871147274971,
-0.009569613263010979,
0.02257121168076992,
-0.020537441596388817,
-0.045106105506420135,
0.05436702072620392,
0.013909531757235527,
-0.010305038653314114,
0.0053976611234247684,
0.0482293963432312,
0.010713608004152775,
-0.049464184790849686,
-0.0509168766438961,
0.014581402763724327,
-0.010532021522521973,
-0.0435444638133049,
-0.007113654166460037,
-0.0729614868760109,
0.007281621918082237,
-0.02954413741827011,
0.021082201972603798,
-0.05015421286225319,
0.011694176122546196,
0.023025179281830788,
-0.04394395276904106,
0.04427080973982811,
0.0301433727145195,
0.001956595340743661,
-0.07721061259508133,
0.004314951132982969,
0.007998889312148094,
0.007481367327272892,
-0.008185015060007572,
-0.02277095802128315,
0.001834024442359805,
0.00647810148075223,
-0.02257121168076992,
-0.04797517508268356,
-0.04920996353030205,
0.04023958742618561,
-0.06646069139242172,
-0.04855625331401825,
-0.004514696542173624,
-0.028908584266901016,
0.016506221145391464,
-0.024732092395424843,
-0.014272705651819706,
-0.05992357060313225,
-0.012030110694468021,
0.062175244092941284,
0.02939886786043644,
0.002107539214193821,
0.019938206300139427,
0.035609129816293716,
-0.06486272811889648,
0.006991083268076181,
0.01747770793735981,
0.02042848989367485,
0.025694500654935837,
0.03715261444449425,
0.024096539244055748,
-0.05433070659637451,
0.0006957036093808711,
0.029634930193424225,
0.02658427506685257,
-0.037733692675828934,
0.014554164372384548,
-0.04695829004049301,
0.030488386750221252,
0.002059872727841139,
-0.026275578886270523,
0.023424668237566948,
-0.05458492785692215,
0.003334383713081479,
0.00320727308280766,
0.04140174016356468,
-0.022879909723997116,
-0.03871425986289978,
-0.04172859713435173,
-0.042636528611183167,
0.024895520880818367,
-0.029053853824734688,
-0.03929533809423447,
-0.05988725274801254,
-0.04092961549758911,
-0.02282543294131756,
0.03186844661831856,
0.012075508013367653,
-0.035264115780591965,
0.061122044920921326,
-0.049718406051397324,
0.002476386958733201,
0.03531859070062637,
-0.00482112355530262,
-0.03490094095468521,
0.03842372074723244,
0.04063907638192177,
-0.02010163478553295,
0.022662004455924034,
-0.026202943176031113,
0.03186844661831856,
0.014608640223741531,
0.021209312602877617,
-0.0039404286071658134,
0.006791338324546814,
-0.00941526424139738,
-0.005502073559910059,
0.001889635343104601,
0.00423777662217617,
-0.025276852771639824,
0.0017591200303286314,
0.015716318041086197,
-0.019974524155259132,
0.029907310381531715,
-0.001398216700181365,
-0.002233515027910471,
0.017450470477342606,
0.012674743309617043,
-0.023951269686222076,
-0.008888662792742252,
0.010332276113331318,
-0.05175217613577843,
0.017196249216794968,
-0.008906821720302105,
0.044161856174468994,
0.02077350579202175,
0.04361709579825401,
-0.013637152500450611,
-0.05988725274801254,
0.035191480070352554,
0.03248583897948265,
0.03268558531999588,
-0.027165353298187256,
0.020573759451508522,
0.04063907638192177,
-0.029634930193424225,
-0.03510068729519844,
0.0368257574737072,
0.00629651453346014,
-0.010886115953326225,
-0.020047158002853394,
-0.020174268633127213,
0.036208365112543106,
0.008566346950829029,
-0.02122747153043747,
0.03998536616563797,
-0.048193078488111496,
-0.000360335863661021,
0.0015468907076865435,
-0.02879963256418705,
0.02309781312942505,
0.010123452171683311,
-0.006287435535341501,
-0.0088795842602849,
0.02832750603556633,
0.09340813755989075,
-0.009950944222509861,
0.01834024488925934,
-0.04252757877111435,
0.0035795255098491907,
-0.026638751849532127,
0.04307233542203903,
0.029507819563150406,
0.005838008597493172,
0.03755210340023041,
-0.060432013124227524,
-0.01025056280195713,
0.01868525892496109,
0.0361538901925087,
0.03711629658937454,
-0.010768083855509758,
0.024532347917556763,
-0.017577581107616425,
-0.009560533799231052,
-0.021754072979092598,
-0.016578854992985725,
-0.011866683140397072,
-0.011194813065230846,
0.006051372736692429,
0.03246768191456795,
0.014681275002658367,
-0.0004159467644058168,
-0.0314871147274971,
0.039077430963516235,
0.028073284775018692,
-0.00056291843065992,
0.01883052848279476,
-0.06380952149629593,
0.02558554895222187,
-0.009687644429504871,
0.048265714198350906,
0.04234598949551582,
-0.010795322246849537,
0.014209150336682796,
0.0152351139113307,
-0.007472287863492966,
0.02289806865155697,
0.025676341727375984,
-0.007268002722412348,
-0.011866683140397072,
-0.002966670785099268,
-0.017096376046538353,
0.035863351076841354,
-0.031051306053996086,
0.028345664963126183,
-0.02872699685394764,
-0.007985269650816917,
0.024078380316495895,
0.004680394195020199,
-0.031432636082172394,
0.05680028349161148,
-0.00679587759077549,
0.00425139581784606,
0.008593585342168808,
-0.015026289969682693,
-0.002068952191621065,
0.005238772835582495,
0.03530042991042137,
-0.002707909792661667,
0.012347887270152569,
-0.013410168699920177,
-0.014844703488051891,
0.05792611837387085,
0.009397105313837528,
0.021045884117484093,
0.0743415430188179,
0.029162805527448654,
-0.016969265416264534,
-0.005406740587204695,
-0.0241146981716156,
-0.005216074641793966,
0.09079328924417496,
-0.021409057080745697,
0.028363823890686035,
0.00860266387462616,
-0.017568502575159073,
0.017060060054063797,
0.003820127807557583,
0.01895763911306858,
0.04474293440580368,
-0.005778993014246225,
0.029907310381531715,
0.0052206143736839294,
-0.03308507427573204,
0.012447760440409184,
0.02845461666584015,
0.024423394352197647,
-0.017096376046538353,
0.03944060578942299,
0.021808547899127007,
0.02525869384407997,
0.008579965680837631,
0.0007881992496550083,
0.02531316876411438,
0.007381494622677565,
-0.0026307355146855116,
-0.013337534852325916,
0.025004472583532333,
-0.015852509066462517,
0.003761111991479993,
-0.06642436981201172,
0.024459712207317352,
-0.018176816403865814,
-0.012474997900426388,
0.02331571653485298,
-0.011176654137670994,
0.010541100986301899,
-0.034392498433589935,
-0.012547632679343224,
-0.009760279208421707,
-0.015017210505902767,
-0.012883568182587624,
-0.019338971003890038,
-0.013128709979355335,
-0.011267447844147682,
0.014381657354533672,
0.02932623215019703,
-0.06126731261610985,
0.010332276113331318,
0.011385479010641575,
-0.017849961295723915,
0.0028304809238761663,
-0.0422007218003273,
-0.0018510482041165233,
0.0009680834482423961,
-0.008761552162468433,
0.015117082744836807,
-0.030288642272353172,
-0.021245630457997322,
0.012302490882575512,
-0.0037247948348522186,
0.005179757252335548,
-0.010277800261974335,
-0.023406511172652245,
0.011439954861998558,
-0.018095102161169052,
-0.04968208819627762,
-0.003845095867291093,
-0.005483914632350206,
-0.02484104409813881,
0.014663116075098515,
0.05567444488406181,
0.029108328744769096,
0.03152342885732651,
-0.004784806631505489,
-0.020137952640652657,
-0.006187562830746174,
0.03141447901725769,
0.004471569787710905,
0.001761389896273613,
0.004069809336215258,
-0.0776464194059372,
-0.020991409197449684,
0.03381142020225525,
0.012938044033944607,
-0.04183754697442055,
0.007590319029986858,
-0.0029394328594207764,
0.03809686377644539,
0.016851235181093216,
-0.0509168766438961,
0.028436459600925446,
0.005529311485588551,
0.021808547899127007,
0.030778925865888596,
0.025222375988960266,
-0.016833076253533363,
-0.004961853381246328,
-0.01863078400492668,
-0.03849635645747185,
0.016324633732438087,
-0.017859039828181267,
0.013410168699920177,
0.01168509665876627,
-0.021953817456960678,
-0.007830921560525894,
-0.009524215944111347,
-0.01895763911306858,
0.0327945351600647,
-0.0045351251028478146,
0.058361928910017014,
-0.06148521602153778,
-0.0019395716954022646,
-0.005547469947487116,
0.017595740035176277,
0.015443938784301281,
0.02999810315668583,
-0.013192265294492245,
0.02738325670361519,
0.04942786693572998,
-0.026493482291698456,
0.04739409685134888,
0.07150879502296448,
0.015307748690247536,
0.023424668237566948,
0.020047158002853394,
0.0033933992963284254,
0.0028713378123939037,
0.031160257756710052,
-0.003052924294024706,
-0.00472125131636858,
-0.055819716304540634,
-0.004526045639067888,
-0.0023992126807570457,
0.03531859070062637,
-0.00210072984918952,
-0.07866330444812775,
-0.027909858152270317,
-0.005433978512883186,
0.01376426313072443,
-0.014445212669670582,
-0.01868525892496109,
-0.027219828218221664,
0.018776051700115204,
-0.018467355519533157,
-0.060577284544706345,
0.013146868906915188,
0.033847738057374954,
0.026638751849532127,
-0.012774615548551083,
0.013037916272878647,
-0.0037815405521541834,
0.06424533575773239,
-0.040493808686733246,
-0.021409057080745697,
0.008884123526513577,
0.03106946498155594,
0.005933341570198536,
0.026820337399840355,
-0.005066265817731619,
0.01118573360145092,
0.027437731623649597,
-0.04194650053977966,
-0.012266173958778381,
-0.004339919425547123,
-0.007944412529468536,
0.002331117633730173,
0.04365341365337372,
0.038060545921325684,
0.03174133598804474,
0.008974917232990265,
0.06206629425287247,
0.0241146981716156,
-0.01124928891658783,
-0.03039759397506714,
0.02269832231104374,
0.011076781898736954,
-0.06871236115694046,
-0.05632815882563591,
-0.032703742384910583,
0.009569613263010979,
-0.009487899020314217,
-0.06918448954820633,
-0.02827303111553192,
0.01694202795624733,
-0.007613017223775387,
-0.0251134242862463,
-0.0609404556453228,
-0.009932786226272583,
0.021953817456960678,
-0.00685035390779376,
0.01370070781558752,
-0.00897945649921894,
0.011712334118783474,
-0.03490094095468521,
0.01995636522769928,
0.017305200919508934,
0.05807138979434967,
-0.001099166227504611,
0.021409057080745697,
-0.023406511172652245,
-0.0021427215542644262,
-0.007268002722412348,
-0.007599398493766785,
-0.006183023098856211,
-0.011503510177135468,
-0.00907932873815298,
0.013373851776123047,
0.009587771259248257,
-0.006400926969945431,
-0.0016206601867452264,
0.017114534974098206,
0.044633980840444565,
-0.0026557038072496653,
0.0034047483932226896,
0.02304333634674549,
0.005670040845870972,
-0.0475393682718277,
-0.006982004269957542,
0.02805512771010399,
-0.04361709579825401,
0.01004173792898655,
-0.006618830841034651,
-0.0468856543302536,
-0.006019595079123974,
0.013037916272878647,
-0.022407785058021545,
-0.03366615250706673,
-0.01868525892496109,
0.02571265958249569,
-0.013346613384783268,
-0.018058786168694496,
0.024623140692710876,
0.053132232278585434,
-0.001895309891551733,
0.017595740035176277,
0.027673795819282532,
0.025767136365175247,
-0.0012064158217981458,
0.015589208342134953,
0.009242757223546505,
0.009669485501945019,
-0.024296283721923828,
-0.016569776460528374,
-0.04194650053977966,
-0.031432636082172394,
-0.009138344787061214,
-0.04260021075606346,
0.009769357740879059,
0.010568339377641678,
0.026638751849532127,
-0.006882131565362215,
0.023896794766187668,
-0.0023220384027808905,
0.008816028945147991,
0.04158332571387291,
-0.007104575168341398,
0.005506613291800022,
0.01834932342171669,
0.007812762632966042,
-0.01915738359093666,
-0.02237146720290184,
-0.011966555379331112,
0.009351708926260471,
0.00331622501835227,
-0.008330284617841244,
-0.003311685286462307,
-0.02867252193391323,
0.002669322770088911,
-0.035064369440078735,
-0.00036941521102562547,
0.010023579001426697,
-0.001658112509176135,
-0.040348537266254425,
-0.041619643568992615,
0.010640973225235939,
0.015108003281056881,
-0.006210261024534702,
0.018040627241134644,
0.04866520315408707,
-0.003783810418099165,
-0.013419248163700104,
-0.0008670759270898998,
0.007322479039430618,
-0.0448882021009922,
0.04118383675813675,
-0.03422906994819641,
0.021735914051532745,
-0.038605306297540665,
0.024768410250544548,
-0.008784251287579536,
0.03698918595910072,
0.022952543571591377,
0.022861750796437263,
-0.09253652393817902,
0.031178416684269905,
-0.004446601495146751,
-0.03635363280773163,
0.02598503977060318,
0.004648616537451744,
-0.03254031389951706,
-0.01178496889770031,
-0.0025694500654935837,
-0.014844703488051891,
0.013201344758272171,
0.0468856543302536,
0.0001488158741267398,
0.02859988622367382,
-0.014499688521027565,
0.0028236713260412216,
0.030978670343756676,
-0.028036968782544136,
-0.041147518903017044,
0.043435510247945786,
0.0016524378443136811,
-0.025276852771639824,
0.028036968782544136,
-0.006691465619951487,
-0.033393774181604385,
-0.016025016084313393,
0.007794604171067476,
-0.00015165316290222108,
-0.015888825058937073,
-0.0014356689061969519,
0.021009568125009537,
-0.025295011699199677,
-0.049064695835113525,
0.009651326574385166,
-0.013873214833438396,
0.0014731211122125387,
-0.030851559713482857,
0.0004227562458254397,
0.047648318111896515,
-0.0529143288731575,
0.014554164372384548,
-0.002844099886715412,
-0.014318102039396763,
0.012211697176098824,
0.009092948399484158,
0.019792936742305756,
0.04013063386082649,
-0.005029948428273201,
0.012011952698230743,
-0.015080765821039677,
0.0428544320166111,
0.0013823278713971376,
-0.02184486575424671,
0.030706290155649185,
-0.01614304631948471,
0.0003705501148942858,
-0.008112380281090736,
-0.010985988192260265,
-0.0027941635344177485,
0.006223880220204592,
-0.007413272280246019,
0.023352034389972687,
-0.006110388319939375,
-0.005838008597493172,
0.007295241113752127,
0.001762524712830782,
0.008888662792742252,
0.05934249609708786,
-0.03027048334479332,
0.014063880778849125,
0.011539827100932598,
0.013500962406396866,
-0.025367645546793938,
0.021590644493699074,
0.024005746468901634,
0.019575033336877823,
-0.0013721135910600424,
0.0016762710874900222,
-0.011630620807409286,
0.02631189487874508,
-0.04132910445332527,
-0.05698186904191971,
0.031705018132925034,
-0.041619643568992615,
0.01794075407087803,
0.008716155774891376,
0.03232241049408913,
-0.003491002134978771
] |
While decades of theoretical research have led to the invention of several
classes of error-correction codes, the design of such codes is an extremely
challenging task, mostly driven by human ingenuity. Recent studies demonstrate
that such designs can be effectively automated and accelerated via tools from
machine learning (ML), thus enabling ML-driven classes of error-correction
codes with promising performance gains compared to classical designs. A
fundamental challenge, however, is that it is prohibitively complex, if not
impossible, to design and train fully ML-driven encoder and decoder pairs for
large code dimensions. In this paper, we propose Product Autoencoder
(ProductAE) -- a computationally-efficient family of deep learning driven
(encoder, decoder) pairs -- aimed at enabling the training of relatively large
codes (both encoder and decoder) with a manageable training complexity. We
build upon ideas from classical product codes and propose constructing large
neural codes using smaller code components. ProductAE boils down the complex
problem of training the encoder and decoder for a large code dimension $k$ and
blocklength $n$ to less-complex sub-problems of training encoders and decoders
for smaller dimensions and blocklengths. Our training results show successful
training of ProductAEs of dimensions as large as $k = 300$ bits with meaningful
performance gains compared to state-of-the-art classical and neural designs.
Moreover, we demonstrate excellent robustness and adaptivity of ProductAEs to
channel models different than the ones used for training. | [
-0.008694296702742577,
0.04009884223341942,
-0.02187979780137539,
-0.011134800501167774,
-0.0007134026382118464,
0.08480752259492874,
-0.04057338461279869,
0.012846543453633785,
0.010524674318730831,
0.04670853912830353,
0.03196382522583008,
-0.050369296222925186,
0.04087844491004944,
-0.018693584948778152,
0.020235847681760788,
-0.04043779894709587,
0.03579406440258026,
-0.00701221264898777,
-0.03021818771958351,
-0.030777471140027046,
-0.019235918298363686,
-0.06247013062238693,
-0.02379491738975048,
-0.002639642683789134,
0.016744570806622505,
0.02267635241150856,
0.00729185389354825,
0.009084098972380161,
-0.058809373527765274,
0.019185075536370277,
0.06640205532312393,
-0.0006069483351893723,
-0.007707078475505114,
-0.05735184997320175,
-0.01156697329133749,
0.025896461680531502,
0.015278573147952557,
0.05447069928050041,
-0.0038493024185299873,
0.028625082224607468,
0.05541978403925896,
-0.025540554895997047,
-0.029048779979348183,
0.006728334818035364,
0.05335213616490364,
-0.013227872550487518,
0.00008123097359202802,
0.004516627639532089,
-0.018202094361186028,
-0.03008260391652584,
-0.03782781586050987,
-0.012905861251056194,
-0.03979377821087837,
-0.014600655995309353,
-0.01645645499229431,
0.03487887233495712,
0.030184293165802956,
0.0694865807890892,
0.05328434333205223,
0.017863135784864426,
0.0070842416025698185,
0.04284440726041794,
-0.014304067008197308,
0.018337678164243698,
0.04182752966880798,
-0.037590544670820236,
0.01094837300479412,
0.012507583945989609,
0.0373532734811306,
0.015778537839651108,
-0.059860147535800934,
-0.07280837744474411,
0.020676493644714355,
0.07131695747375488,
0.026320161297917366,
0.010567044839262962,
0.003279427532106638,
0.08948515355587006,
0.04528491199016571,
0.03582795709371567,
0.038437943905591965,
0.03975988179445267,
-0.008592608384788036,
0.00803332682698965,
0.04542049765586853,
-0.029709750786423683,
0.001866392558440566,
-0.056063804775476456,
-0.012770277447998524,
-0.014719291590154171,
-0.05450459569692612,
0.04318336769938469,
-0.028726769611239433,
0.00803332682698965,
0.026489639654755592,
0.03291290998458862,
-0.06108039990067482,
-0.002548547461628914,
-0.006266503129154444,
0.01899864710867405,
0.020201951265335083,
0.0426071360707283,
0.02004942111670971,
0.030455458909273148,
0.006567329168319702,
-0.04081065580248833,
-0.04037000983953476,
0.022184861823916435,
0.03708210587501526,
0.10575518757104874,
0.019032543525099754,
0.0008908263989724219,
-0.015032828785479069,
0.006266503129154444,
-0.008770561777055264,
-0.06545297056436539,
-0.008906145580112934,
-0.0399971529841423,
0.03238752484321594,
-0.03315018117427826,
0.029506374150514603,
0.018320729956030846,
-0.03198077529668808,
0.022659404203295708,
-0.030235135927796364,
0.03315018117427826,
-0.0023070392198860645,
0.03531951829791069,
0.039420921355485916,
-0.005020828917622566,
-0.060843128710985184,
-0.021608632057905197,
0.02077818289399147,
-0.0028684400022029877,
0.01618528924882412,
0.04114961251616478,
0.013363455422222614,
-0.04104792699217796,
0.05731795355677605,
-0.020286692306399345,
0.03248921409249306,
-0.007321512792259455,
0.030319875106215477,
-0.06650374084711075,
0.031048636883497238,
0.0025824434123933315,
-0.006605462171137333,
0.09978950768709183,
-0.024133875966072083,
0.026032045483589172,
-0.06328362971544266,
0.029862280935049057,
-0.023354269564151764,
-0.0004215801600366831,
0.015583636239171028,
0.023811863735318184,
-0.0438951812684536,
0.016990317031741142,
-0.015778537839651108,
-0.016939472407102585,
0.027896320447325706,
-0.007228299044072628,
-0.016236132010817528,
0.06840191036462784,
0.02876066416501999,
0.01477860938757658,
0.03099779412150383,
-0.04206480458378792,
-0.08175688982009888,
0.04142078012228012,
0.053182654082775116,
0.029387738555669785,
0.02687944285571575,
0.02411692775785923,
-0.025981200858950615,
0.007088478654623032,
0.021066296845674515,
-0.0589788518846035,
-0.004715765826404095,
0.012965179048478603,
-0.048979565501213074,
0.05779249593615532,
0.042234282940626144,
0.0452171191573143,
0.055013034492731094,
0.05074215307831764,
0.043217264115810394,
0.04253934696316719,
0.038031190633773804,
-0.015236203558743,
0.021388309076428413,
0.006681727711111307,
0.007541836239397526,
0.015710746869444847,
0.013304137624800205,
-0.03491276875138283,
-0.020151108503341675,
0.025896461680531502,
-0.03789560869336128,
0.005033540073782206,
-0.0048598237335681915,
-0.037183795124292374,
0.04081065580248833,
-0.00013346507330425084,
-0.01993078552186489,
0.0022371290251612663,
-0.0044107032008469105,
0.05836872756481171,
-0.017880083993077278,
-0.008325678296387196,
-0.013524461537599564,
0.007317275740206242,
-0.03623471036553383,
-0.0720626711845398,
0.040200527757406235,
0.013668518513441086,
-0.02215096540749073,
-0.03238752484321594,
-0.025659190490841866,
-0.012092359364032745,
-0.036539770662784576,
0.011600869707763195,
0.05138617381453514,
0.00455476064234972,
-0.02345595695078373,
-0.06311415135860443,
-0.002722263801842928,
-0.019608773291110992,
0.00571569474413991,
-0.020405327901244164,
-0.030319875106215477,
0.014304067008197308,
-0.01808345876634121,
-0.030946949496865273,
-0.02582867071032524,
-0.022167913615703583,
-0.0081900954246521,
-0.01585480384528637,
-0.02272719517350197,
-0.05857210233807564,
-0.029455531388521194,
-0.033251870423555374,
-0.02667606808245182,
-0.05616549402475357,
0.029591113328933716,
0.026032045483589172,
-0.035150039941072464,
0.01710895262658596,
0.011058535426855087,
0.03691262751817703,
0.014227801002562046,
0.02923520654439926,
0.023218685761094093,
0.03367557004094124,
-0.01537178736180067,
0.06186000257730484,
0.03728548064827919,
-0.046233996748924255,
-0.02215096540749073,
0.0070291608572006226,
0.015549740754067898,
0.011287332512438297,
-0.0015835737576708198,
0.04098013415932655,
-0.055080827325582504,
0.01591412164270878,
-0.0008918856619857252,
0.025049064308404922,
0.010016236454248428,
0.02837086282670498,
0.003836591262370348,
-0.08351948112249374,
-0.027692943811416626,
-0.0465390607714653,
0.05057267099618912,
-0.007893506437540054,
-0.01216015126556158,
0.018117355182766914,
0.031675711274147034,
0.008728192187845707,
0.00044250028440728784,
-0.03462465479969978,
0.01658356562256813,
-0.006516485475003719,
-0.036336395889520645,
-0.08799373358488083,
-0.04606451839208603,
-0.03833625465631485,
-0.03599743917584419,
-0.041386883705854416,
-0.023354269564151764,
0.016863206401467323,
-0.04660685360431671,
0.0036713487934321165,
0.008270598016679287,
-0.008279072120785713,
-0.06141935661435127,
-0.025066012516617775,
0.055013034492731094,
-0.011100905016064644,
-0.05053877457976341,
-0.02457452192902565,
0.01055009663105011,
0.004342911299318075,
-0.05806366354227066,
-0.0033789968583732843,
-0.03362472727894783,
0.02640490047633648,
0.01743943616747856,
0.02770989201962948,
0.023116998374462128,
0.02091376483440399,
-0.003287901636213064,
0.008393470197916031,
-0.019218971952795982,
0.023710176348686218,
0.048979565501213074,
0.01520230807363987,
-0.06653763353824615,
0.009770491160452366,
0.02004942111670971,
0.03264174610376358,
-0.08738361299037933,
0.0022477214224636555,
0.029133519157767296,
-0.024557573720812798,
0.015837855637073517,
0.01664288341999054,
-0.009448479861021042,
-0.0009480257285758853,
-0.05236915498971939,
-0.0068808663636446,
-0.024099979549646378,
0.05314876139163971,
0.002196877496317029,
-0.009711173363029957,
-0.020540911704301834,
0.01913423091173172,
-0.030489355325698853,
-0.006842733360826969,
0.018303781747817993,
-0.047860998660326004,
-0.06314805150032043,
0.03072662651538849,
0.02240518480539322,
-0.034167058765888214,
-0.046166203916072845,
0.006702912971377373,
-0.028014956042170525,
-0.02528633549809456,
0.0008712303824722767,
-0.022845830768346786,
0.02077818289399147,
0.004042085260152817,
0.03250616043806076,
-0.03884469345211983,
-0.0018610963597893715,
0.03360777720808983,
-0.0011408086866140366,
0.05264032259583473,
0.026354055851697922,
-0.01323634572327137,
0.019557930529117584,
-0.021388309076428413,
-0.005296233110129833,
0.0014575234381482005,
-0.0024659261107444763,
0.01012639794498682,
-0.0028112404979765415,
-0.0327603816986084,
0.007516414392739534,
0.07836730033159256,
-0.008393470197916031,
0.00888072419911623,
-0.004368333145976067,
0.028930144384503365,
0.02955721877515316,
-0.006563092116266489,
0.02326953038573265,
0.03225194290280342,
0.017727551981806755,
0.04148857295513153,
0.00733846053481102,
0.004232749808579683,
0.034506019204854965,
0.0367092527449131,
-0.0255575031042099,
0.013719362206757069,
-0.0060292319394648075,
0.0314384400844574,
0.043285053223371506,
-0.031675711274147034,
0.010982269421219826,
-0.023167842999100685,
0.054877448827028275,
0.047555938363075256,
0.060910917818546295,
0.006846970412880182,
0.02443893812596798,
-0.03218415006995201,
-0.058877166360616684,
0.012592324055731297,
-0.051725130528211594,
-0.01828683353960514,
-0.00692747300490737,
-0.011439863592386246,
-0.022845830768346786,
-0.001539085409604013,
0.01722758822143078,
-0.0015676850453019142,
0.005647903308272362,
-0.016227658838033676,
0.01018571574240923,
-0.017058108001947403,
0.014575233682990074,
0.023218685761094093,
-0.060063522309064865,
0.03362472727894783,
-0.01769365556538105,
0.02935384213924408,
0.0029637720435857773,
0.017575019970536232,
0.011550025083124638,
-0.07036787271499634,
0.05755522474646568,
0.023371217772364616,
-0.0018123709596693516,
0.011600869707763195,
0.018269885331392288,
0.011075482703745365,
0.07179149985313416,
0.026320161297917366,
-0.04159025847911835,
-0.0071435593999922276,
-0.04382738843560219,
0.013939686119556427,
0.006491063628345728,
-0.012499110773205757,
0.011507655493915081,
0.008838353678584099,
-0.033201027661561966,
0.02279498800635338,
0.00914341676980257,
-0.021642526611685753,
-0.0419631153345108,
-0.002535836538299918,
-0.07131695747375488,
-0.015151464380323887,
0.026252368465065956,
-0.0406411737203598,
-0.0740286260843277,
-0.020405327901244164,
-0.09165449440479279,
-0.05223356932401657,
0.032404474914073944,
-0.021151037886738777,
-0.028082747012376785,
-0.021117141470313072,
0.044979847967624664,
-0.056131597608327866,
0.019439294934272766,
0.02903183177113533,
0.05558926239609718,
-0.005635192152112722,
0.03204856812953949,
0.015388735570013523,
0.005423342809081078,
-0.0458611436188221,
0.017981771379709244,
-0.004864060785621405,
0.005575874354690313,
0.00046315559302456677,
-0.011651713401079178,
0.016354767605662346,
0.021659474819898605,
0.01690557599067688,
0.02574392966926098,
-0.0563349723815918,
-0.03592964634299278,
0.013617674820125103,
0.03218415006995201,
-0.05460628122091293,
-0.00437257019802928,
-0.03326881676912308,
-0.03555678948760033,
0.02562529407441616,
-0.007821477018296719,
0.035150039941072464,
0.05145396664738655,
-0.03728548064827919,
-0.04881008714437485,
0.015592110343277454,
-0.01729537919163704,
-0.015456527471542358,
0.02596425451338291,
-0.015346365049481392,
-0.03494666516780853,
-0.003673467319458723,
0.03152317926287651,
-0.002364238491281867,
0.013676992617547512,
0.004158602096140385,
-0.015956491231918335,
0.05474186688661575,
0.015685323625802994,
-0.004660685081034899,
0.008020615205168724,
0.05925001949071884,
0.028336966410279274,
-0.021930642426013947,
-0.014041373506188393,
0.0432511605322361,
-0.03637029230594635,
0.032862067222595215,
0.02215096540749073,
-0.0010370024247094989,
0.005097094923257828,
-0.03203161805868149,
0.0193376075476408,
0.02876066416501999,
0.02471010573208332,
-0.0032222282607108355,
0.018066510558128357,
0.028794560581445694,
-0.05589432641863823,
0.007668945472687483,
0.05277590453624725,
0.013668518513441086,
0.04769152030348778,
-0.050030335783958435,
-0.04331894963979721,
0.05413173884153366,
-0.055080827325582504,
-0.08501090109348297,
-0.04311557486653328,
-0.03501445800065994,
0.09456954151391983,
-0.0045251017436385155,
-0.0000771925988374278,
-0.030658835545182228,
-0.044268034398555756,
-0.004376807250082493,
0.017388593405485153,
0.046098414808511734,
-0.024489782750606537,
-0.029658906161785126,
0.032218046486377716,
-0.023744072765111923,
0.008694296702742577,
-0.02823527902364731,
0.028218330815434456,
-0.0002094660303555429,
0.03154012933373451,
0.020015524700284004,
-0.04992865025997162,
-0.008329915814101696,
-0.019710460677742958,
0.0010269396007061005,
-0.016109023243188858,
-0.06911372393369675,
-0.027015026658773422,
0.03599743917584419,
0.010753472335636616,
-0.015948018059134483,
-0.014736238867044449,
-0.014820978976786137,
0.03348914161324501,
0.06857138872146606,
-0.0340653732419014,
0.007906217128038406,
-0.04830164834856987,
-0.019608773291110992,
0.012363526970148087,
0.024811793118715286,
-0.03304849565029144,
0.019235918298363686,
0.04948800429701805,
0.0038980275858193636,
0.0031417254358530045,
-0.008486684411764145,
0.017676707357168198,
-0.04050559177994728,
-0.03060799092054367,
0.029336895793676376,
0.017134374007582664,
0.014905719086527824,
-0.04860670864582062,
0.0027243823278695345,
-0.026693016290664673,
-0.024472834542393684,
-0.03596354275941849,
0.04074286296963692,
-0.05077604576945305,
0.029980916529893875,
-0.015109093859791756,
0.0011047942098230124,
0.00529199605807662,
-0.0160581786185503,
0.024676209315657616,
-0.010600940324366093,
-0.033251870423555374,
0.01009250245988369,
0.05162344500422478,
0.014321014285087585,
0.0031501995399594307,
-0.01438880618661642,
0.06508011370897293,
-0.022049278020858765,
0.00710966344922781,
-0.0011958894319832325,
-0.08026547729969025,
-0.0017117426032200456,
0.030591042712330818,
-0.02240518480539322,
-0.008329915814101696,
-0.02759125642478466,
-0.01399052981287241,
0.011855088174343109,
-0.018693584948778152,
0.019710460677742958,
0.024286407977342606,
0.029116570949554443,
0.03237057849764824,
-0.07450316846370697,
0.025218544527888298,
0.028489498421549797,
0.011422915384173393,
-0.02725229784846306,
0.018337678164243698,
-0.011651713401079178,
-0.004647974390536547,
0.013177027925848961,
-0.04267492890357971,
-0.02272719517350197,
0.007219824939966202,
-0.021405255421996117,
0.027031974866986275,
0.009694225154817104,
0.05877547711133957,
-0.030692730098962784,
-0.031031690537929535,
-0.026964182034134865,
-0.04986085742712021,
0.02784547582268715,
0.0004483261436689645,
0.014702343381941319,
-0.026489639654755592,
-0.013956633396446705,
0.07694367319345474,
0.016685253009200096,
0.009160364978015423,
0.0020464644767344,
0.018117355182766914,
0.05413173884153366,
-0.024879585951566696,
-0.004292067606002092,
0.05647055804729462,
-0.0014056202489882708,
0.0044700209982693195,
0.003781510517001152,
0.0009766253642737865,
0.03565847873687744,
-0.0015613295836374164,
-0.03182824328541756,
0.06016520783305168,
-0.023167842999100685,
0.010473830625414848,
0.018337678164243698,
-0.001981850480660796,
0.0193376075476408,
0.026777755469083786,
-0.022574665024876595,
-0.015159937553107738,
0.010812790133059025,
0.037387169897556305,
-0.07314733415842056,
0.011092430911958218,
0.03157402575016022,
0.015948018059134483,
-0.004234868101775646,
-0.030692730098962784,
-0.009575589559972286,
-0.0012912217061966658,
-0.032590899616479874,
-0.028336966410279274,
-0.015278573147952557,
-0.005558926612138748,
0.027811579406261444,
-0.0806044340133667,
-0.01952403411269188,
-0.05558926239609718,
-0.04352232441306114,
0.01051620114594698,
-0.026506587862968445,
-0.014007478021085262,
0.04277661815285683,
0.006550381425768137,
-0.007274906150996685,
0.006003810092806816,
0.0014193905517458916,
-0.01847326196730137,
0.0039213309064507484,
0.00802908930927515,
-0.005758064799010754,
-0.013787154108285904,
0.04003104940056801,
0.029506374150514603,
0.009804386645555496,
-0.006435982417315245,
0.04575945436954498,
0.020354483276605606,
0.03694652393460274,
0.009406110271811485,
0.053894467651844025,
0.05358940735459328,
-0.018574949353933334,
-0.004351385403424501,
0.046301789581775665,
-0.008135014213621616,
0.024981273338198662,
0.023116998374462128,
0.02386270835995674,
0.017880083993077278,
-0.07802834361791611,
-0.031557075679302216,
0.005118279717862606,
0.011380545794963837,
0.018235990777611732,
0.008037563413381577,
-0.0031735028605908155,
-0.010982269421219826,
-0.019218971952795982,
-0.02825222723186016,
0.007092715706676245,
0.054301220923662186,
-0.00855023879557848,
-0.0007515354664064944,
0.03755664825439453,
-0.0017212758539244533,
0.019574878737330437,
0.040336113423109055,
-0.03015039674937725,
-0.011075482703745365,
-0.034506019204854965,
-0.0206425990909338,
0.0032921384554356337,
-0.029336895793676376,
-0.018235990777611732,
-0.024269459769129753,
0.009880652651190758,
0.03531951829791069,
-0.02642184868454933,
0.02530328370630741,
-0.02226960100233555,
-0.06338532269001007,
0.01723606139421463,
0.010524674318730831,
-0.02477789670228958,
0.028218330815434456,
-0.02242213301360607,
-0.01991383731365204,
0.016558144241571426,
-0.0008680526516400278,
0.010100975632667542,
0.014693869277834892,
-0.04098013415932655,
-0.024354198947548866,
0.03579406440258026,
0.009380687959492207,
-0.02857423759996891,
0.007088478654623032,
0.03235362842679024,
-0.002165100071579218,
-0.013846471905708313,
0.00956711545586586,
-0.015778537839651108,
0.026235420256853104,
-0.009456953965127468,
-0.028150537982583046,
0.02923520654439926,
0.008736666291952133,
0.030421564355492592,
-0.04677633196115494,
0.013160080648958683,
-0.028201382607221603,
-0.02535412833094597,
-0.02372712455689907,
-0.007080004550516605,
-0.010346720926463604,
0.010084028355777264,
0.007893506437540054,
-0.06857138872146606,
0.04050559177994728,
0.009287474676966667,
0.00692747300490737,
0.03484497591853142,
-0.028557289391756058,
0.005080146715044975,
0.053318239748477936,
-0.0438951812684536,
0.013490565121173859,
-0.019744357094168663,
-0.02732008881866932,
0.021710319444537163,
-0.05287759378552437,
0.02281193621456623,
-0.01500740647315979,
-0.0347432903945446,
0.02181200683116913,
0.009397636167705059,
-0.004048440605401993,
0.0117957703769207,
0.014032899402081966,
0.005228441208600998,
0.059860147535800934,
0.011490707285702229,
-0.001755171688273549,
-0.028743717819452286,
-0.001855800161138177,
-0.0027010790072381496,
-0.04165805131196976,
0.019218971952795982,
-0.0010338247520849109,
-0.013515987433493137,
-0.04965748265385628,
-0.029184363782405853,
0.0018992292461916804,
-0.012999074533581734,
0.009643381461501122,
0.015015880577266216,
0.012033041566610336,
-0.008592608384788036,
-0.03596354275941849,
-0.02196453884243965,
-0.03026903234422207,
0.04443751648068428,
0.03484497591853142,
0.032404474914073944,
0.012499110773205757,
-0.0036925338208675385,
-0.010024710558354855,
0.015651429072022438,
-0.007126611191779375,
-0.0025506659876555204,
-0.02569308690726757,
0.006872392259538174,
-0.011380545794963837,
0.0069825537502765656,
-0.0004125765699427575,
-0.04643737152218819,
0.004184024408459663,
0.04050559177994728,
0.027811579406261444,
-0.04575945436954498,
-0.019693514332175255,
0.0004022489010822028,
0.005512319505214691,
0.008948516100645065,
0.019608773291110992,
-0.05470797047019005,
-0.01212625578045845,
0.0055801114067435265,
0.013676992617547512,
-0.020032472908496857,
0.041183508932590485,
-0.03067578189074993,
-0.010931425727903843,
-0.021845903247594833,
0.002754041226580739,
-0.039081964641809464,
0.009024781174957752,
0.000001415087353962008,
-0.006423271726816893,
0.06508011370897293,
-0.01077889371663332,
-0.01585480384528637,
-0.008524817414581776,
-0.0072452472522854805,
-0.006609699223190546,
0.006075838580727577,
-0.006118208635598421,
-0.014032899402081966,
0.028387809172272682,
0.014998932369053364,
0.030658835545182228,
-0.03172655403614044,
0.0029235207475721836,
-0.05884326994419098,
-0.013100762851536274,
-0.03298070281744003,
-0.014524389989674091,
0.01893085613846779,
0.01632087305188179,
0.03040461614727974,
0.019879940897226334,
-0.008236701600253582,
-0.0036289789713919163,
-0.02201538160443306,
-0.04135298728942871,
0.022100122645497322,
0.00813077762722969,
-0.038098983466625214,
-0.006147867534309626,
0.0003344571159686893,
0.023947447538375854,
-0.0563349723815918,
0.02770989201962948,
0.02082902565598488,
-0.0011175052495673299,
-0.002684131031855941,
0.028336966410279274,
0.011744926683604717,
0.03347219526767731,
-0.028201382607221603,
0.03755664825439453,
-0.011270384304225445,
0.019032543525099754,
-0.025913409888744354,
0.02726924605667591,
-0.04104792699217796,
-0.009575589559972286,
0.0035929647274315357,
0.038641318678855896,
0.01676999218761921,
-0.034116216003894806,
0.049182940274477005,
-0.034573812037706375,
-0.008762088604271412,
0.006673254072666168,
0.004609841387718916,
-0.042234282940626144,
0.033980634063482285,
0.010812790133059025,
0.004175550304353237,
0.03337050601840019,
0.007046108599752188,
-0.04816606268286705,
-0.041183508932590485,
-0.02877761237323284,
0.0007054582820273936,
-0.09484070539474487,
-0.011617816984653473,
0.01560058444738388,
0.007113900501281023,
-0.02581172250211239,
-0.043149471282958984,
0.013024496845901012,
-0.0011376308975741267,
0.009397636167705059,
-0.012990600429475307,
-0.02798105962574482,
-0.007507940288633108,
0.01894780434668064,
-0.030828313902020454,
-0.023015310987830162,
0.03484497591853142,
0.009279000572860241,
-0.00279217422939837,
-0.007673182524740696,
0.018659688532352448,
-0.027998007833957672,
-0.03847183659672737,
-0.022710248827934265,
-0.000023336528101935983,
0.017329275608062744,
-0.03126896172761917,
-0.01965961791574955,
-0.08684127777814865,
-0.030591042712330818,
-0.04043779894709587,
-0.005872463341802359,
-0.034777186810970306,
0.026760807260870934,
-0.007262194994837046,
0.04542049765586853,
0.028336966410279274,
-0.026659119874238968,
-0.014626077376306057,
-0.026574380695819855,
-0.00920273456722498,
-0.006897814106196165,
-0.03589574992656708,
0.02784547582268715,
0.009253578260540962,
-0.008071459829807281,
-0.01710895262658596,
0.022066226229071617,
-0.012609272263944149,
-0.032150253653526306,
-0.03904806822538376,
-0.015168411657214165,
0.017202164977788925,
0.020015524700284004,
0.0011641120072454214,
-0.02693028748035431,
-0.008567187003791332,
-0.008609556593000889,
-0.011939828284084797,
0.044403620064258575,
0.010524674318730831,
-0.03118422068655491,
-0.015414156951010227,
-0.018574949353933334,
0.04362401366233826,
-0.0071435593999922276,
-0.008948516100645065,
0.07368966937065125,
-0.018185146152973175,
-0.07158812880516052,
0.005681798793375492,
0.007448622491210699,
0.01776144839823246,
0.015024354681372643,
-0.0004901663633063436,
0.005372499115765095,
0.02215096540749073,
-0.04857281595468521,
0.021523891016840935,
0.03491276875138283,
-0.0004374688724055886,
0.06775788962841034,
-0.06199558824300766,
0.01742248795926571,
-0.01920202374458313
] |
Communication load balancing aims to balance the load between different
available resources, and thus improve the quality of service for network
systems. After formulating the load balancing (LB) as a Markov decision process
problem, reinforcement learning (RL) has recently proven effective in
addressing the LB problem. To leverage the benefits of classical RL for load
balancing, however, we need an explicit reward definition. Engineering this
reward function is challenging, because it involves the need for expert
knowledge and there lacks a general consensus on the form of an optimal reward
function. In this work, we tackle the communication load balancing problem from
an inverse reinforcement learning (IRL) approach. To the best of our knowledge,
this is the first time IRL has been successfully applied in the field of
communication load balancing. Specifically, first, we infer a reward function
from a set of demonstrations, and then learn a reinforcement learning load
balancing policy with the inferred reward function. Compared to classical
RL-based solution, the proposed solution can be more general and more suitable
for real-world scenarios. Experimental evaluations implemented on different
simulated traffic scenarios have shown our method to be effective and better
than other baselines by a considerable margin. | [
-0.022845428436994553,
-0.0400872603058815,
-0.030765894800424576,
0.002426877850666642,
-0.04206288978457451,
0.029149474576115608,
-0.0029791551642119884,
0.031807590276002884,
-0.09985894709825516,
0.03872228413820267,
-0.016074417158961296,
-0.030963458120822906,
0.0005809015710838139,
-0.022576024755835533,
0.03714178130030632,
0.0017937791999429464,
0.01961258426308632,
0.006838362198323011,
0.001330180442892015,
-0.0070449053309857845,
0.027551012113690376,
0.006101992446929216,
0.02947275899350643,
0.05531754717230797,
-0.03229251503944397,
-0.0029948705341666937,
0.02174985408782959,
-0.018175765872001648,
-0.09159723669290543,
0.03757282719016075,
0.046265583485364914,
0.007951897569000721,
-0.007098786067217588,
-0.022863388061523438,
-0.03396281972527504,
-0.06717130541801453,
0.016694044694304466,
0.003845736850053072,
-0.007624122779816389,
0.0552816279232502,
-0.052587591111660004,
0.046193744987249374,
-0.045295730233192444,
-0.03854268044233322,
0.01027325913310051,
-0.013155877590179443,
-0.0446491613984108,
-0.01176395919173956,
0.010084676556289196,
-0.028664547950029373,
0.04644518718123436,
-0.0681411623954773,
0.002055325312539935,
-0.0009103597840294242,
0.009644649922847748,
0.02412060648202896,
0.05711357295513153,
-0.004597822204232216,
0.04849265515804291,
-0.03969213739037514,
0.014449015259742737,
-0.004178001545369625,
-0.02981400303542614,
-0.03001156449317932,
0.04583453759551048,
-0.04795384779572487,
0.01651444286108017,
0.02729956805706024,
0.021229006350040436,
-0.007318798918277025,
-0.057508695870637894,
0.018517009913921356,
-0.060418255627155304,
0.030658133327960968,
-0.015921754762530327,
0.04116487503051758,
0.0042004515416920185,
0.026150112971663475,
0.023438116535544395,
-0.015769092366099358,
0.022073138505220413,
0.034214261919260025,
0.006528547964990139,
0.006577938795089722,
0.015086603350937366,
0.017457356676459312,
0.02315075322985649,
-0.06903917342424393,
0.06537528336048126,
-0.040374625474214554,
-0.00943810772150755,
-0.0278742965310812,
0.003354075364768505,
-0.01219500508159399,
0.0048133451491594315,
0.022935230284929276,
0.045116130262613297,
-0.01582297310233116,
-0.0267068799585104,
0.045187968760728836,
0.002402182435616851,
-0.005248880945146084,
-0.039297010749578476,
0.005127649288624525,
0.045295730233192444,
-0.026275834068655968,
-0.05068380385637283,
0.009465048089623451,
-0.015849914401769638,
0.10711488872766495,
-0.006802442017942667,
-0.014817200601100922,
0.03651317209005356,
0.021534331142902374,
-0.0372854620218277,
0.0022237026132643223,
0.033980779349803925,
-0.05093524977564812,
0.002064305357635021,
0.0007745354669168591,
0.0036818496882915497,
0.05327007919549942,
-0.013730605132877827,
-0.022611945867538452,
-0.041739605367183685,
0.019756266847252846,
-0.030460571870207787,
-0.007449010852724314,
0.05671844631433487,
0.0123297069221735,
0.0038681873120367527,
-0.028233502060174942,
-0.042278412729501724,
-0.06307636946439743,
0.02535986341536045,
0.053557444363832474,
-0.007889037020504475,
-0.042206570506095886,
0.003993908874690533,
-0.011377813294529915,
0.010803085751831532,
-0.04450548067688942,
0.020905721932649612,
0.014368194155395031,
0.02880822867155075,
0.05919696018099785,
-0.012823613360524178,
0.012275826185941696,
-0.036926258355379105,
-0.023599758744239807,
0.018588850274682045,
0.09281853586435318,
0.006820402108132839,
0.04184736683964729,
0.02597051113843918,
0.010246318764984608,
-0.021300848573446274,
-0.03997949883341789,
0.047199517488479614,
-0.010686344467103481,
-0.0029432347510010004,
-0.0013616109499707818,
-0.01242848765105009,
0.055497150868177414,
0.047127675265073776,
0.04012318328022957,
0.028125740587711334,
-0.027820415794849396,
-0.10230154544115067,
0.040410544723272324,
-0.03286724537611008,
-0.004364339169114828,
-0.009025021456182003,
0.019666464999318123,
-0.0352918766438961,
0.01199744176119566,
0.03997949883341789,
-0.01880437321960926,
-0.015185385011136532,
0.018660692498087883,
-0.01721489243209362,
0.008010268211364746,
-0.02144452929496765,
0.03484287112951279,
0.026886483654379845,
-0.0006577938911505044,
0.033711373805999756,
-0.02043875679373741,
-0.00017651550297159702,
-0.019828107208013535,
-0.026006430387496948,
0.0590173564851284,
0.031268782913684845,
0.022342542186379433,
0.0320231132209301,
-0.05125853419303894,
-0.001376203610561788,
0.0066857002675533295,
0.07076335698366165,
0.025144340470433235,
-0.05589227378368378,
-0.008427843451499939,
-0.04087751358747482,
0.018948055803775787,
0.008643366396427155,
-0.0617113932967186,
0.04112895578145981,
-0.01698140986263752,
-0.020115472376346588,
-0.07320594787597656,
-0.0251263789832592,
-0.018014123663306236,
-0.013568962924182415,
0.061280347406864166,
-0.05700581148266792,
-0.016846707090735435,
0.01192560140043497,
-0.00035190850030630827,
-0.00710327597334981,
-0.06415398418903351,
-0.009725471027195454,
0.07144584506750107,
0.024839015677571297,
0.011108409613370895,
-0.03656705468893051,
-0.010946768335998058,
-0.0005155151011422276,
-0.005266841035336256,
0.002012669574469328,
0.011871720664203167,
-0.025485584512352943,
0.03055037185549736,
0.038434918969869614,
-0.01231174636632204,
-0.030765894800424576,
-0.021803734824061394,
-0.021103285253047943,
0.011252092197537422,
-0.027209768071770668,
-0.02613215334713459,
-0.07248754054307938,
0.03414241969585419,
-0.004323928616940975,
-0.007242467720061541,
0.046624790877103806,
-0.030999379232525826,
0.03507635369896889,
0.04540349170565605,
0.014592696912586689,
-0.05826302617788315,
-0.06763827055692673,
-0.009779351763427258,
0.0161282978951931,
0.020402835682034492,
-0.03450162708759308,
0.06950613856315613,
0.044756922870874405,
-0.06070562079548836,
0.07036823034286499,
-0.030173206701874733,
0.05485058203339577,
0.025216180831193924,
0.061316266655921936,
0.03403465822339058,
-0.002397692296653986,
-0.028449025005102158,
0.06630921363830566,
0.031663909554481506,
-0.014610657468438148,
-0.001751123694702983,
-0.01091084722429514,
-0.0295086782425642,
-0.012661971151828766,
0.008279671892523766,
-0.028826190158724785,
-0.03796795383095741,
0.004826815333217382,
-0.0008003533002920449,
-0.013694684952497482,
0.004418219905346632,
-0.014691478572785854,
0.046121902763843536,
0.01787044107913971,
0.0023056461941450834,
-0.05679028853774071,
-0.03171778842806816,
-0.009752411395311356,
-0.026221953332424164,
-0.04881593957543373,
0.005006417632102966,
-0.009572809562087059,
-0.005428483244031668,
-0.0045259809121489525,
0.0032059033401310444,
0.04798976704478264,
0.007484931033104658,
-0.005428483244031668,
-0.022863388061523438,
0.0191096980124712,
0.08060556650161743,
-0.0009367389138787985,
0.030837737023830414,
0.03710586205124855,
0.024372048676013947,
-0.023905083537101746,
-0.027227727696299553,
-0.06056193634867668,
0.0095548490062356,
-0.007624122779816389,
0.033208489418029785,
-0.01977422647178173,
-0.03211291506886482,
-0.020277114585042,
-0.09562033414840698,
-0.0025189239531755447,
0.06541120260953903,
0.028431063517928123,
-0.0216780137270689,
0.0002228192606708035,
0.017035290598869324,
0.057508695870637894,
0.019127657637000084,
-0.06210651993751526,
0.011692117899656296,
-0.0571494922041893,
-0.0065599787048995495,
0.040410544723272324,
0.04439771920442581,
-0.04748688265681267,
-0.026455437764525414,
-0.034447744488716125,
0.004606802016496658,
-0.02853882499039173,
-0.03947661444544792,
0.006254654377698898,
-0.019397061318159103,
-0.03674665465950966,
-0.0022461528424173594,
-0.052012860774993896,
-0.018732532858848572,
0.009294425137341022,
-0.039835818111896515,
-0.008342532441020012,
-0.03847083821892738,
-0.010722264647483826,
-0.040554229170084,
-0.05183326080441475,
-0.040554229170084,
-0.003461836837232113,
0.004492305684834719,
0.001082104630768299,
0.03861452266573906,
0.033280327916145325,
0.04163184389472008,
0.09332142025232315,
-0.05973576754331589,
-0.06537528336048126,
0.026778722181916237,
-0.043751150369644165,
-0.008387433364987373,
-0.014413095079362392,
-0.024749213829636574,
-0.08778966963291168,
-0.01647852174937725,
-0.06526751816272736,
0.035758841782808304,
-0.030334848910570145,
0.009896093979477882,
-0.015364987775683403,
-0.026958324015140533,
-0.004988457541912794,
0.04482876509428024,
0.02767673321068287,
0.010165497660636902,
-0.015014762990176678,
0.03604620695114136,
0.005958310328423977,
-0.01492496207356453,
-0.07586406171321869,
0.04443363845348358,
0.028484944254159927,
0.014799240045249462,
-0.05086340755224228,
-0.012230925261974335,
0.014987822622060776,
0.04486468434333801,
-0.0193431805819273,
-0.03539963811635971,
-0.00876010861247778,
0.01585889421403408,
0.01706223003566265,
-0.07399620115756989,
-0.05230022594332695,
-0.008463764563202858,
-0.04684031382203102,
-0.029203355312347412,
-0.01258115004748106,
-0.042278412729501724,
0.05373704433441162,
-0.0016747926129028201,
0.009949974715709686,
0.041308559477329254,
0.027119966223835945,
0.03473510965704918,
-0.05176141858100891,
0.03480695188045502,
-0.0015490709338337183,
-0.03875820338726044,
-0.014853120781481266,
-0.018427208065986633,
-0.006483647506684065,
-0.015302126295864582,
-0.004763954319059849,
-0.03182554990053177,
0.019792187958955765,
-0.0028534336015582085,
-0.0696498230099678,
0.013308539986610413,
-0.0015187630197033286,
-0.040841590613126755,
-0.03875820338726044,
0.007915977388620377,
0.03372933715581894,
0.005473384167999029,
0.0003451734082773328,
0.040374625474214554,
0.04260169714689255,
-0.00802373792976141,
0.008266201242804527,
-0.04687623307108879,
0.01395510882139206,
0.05858631059527397,
0.03189739212393761,
-0.008481724187731743,
0.006946123670786619,
0.02104940451681614,
0.013272618874907494,
0.06070562079548836,
-0.053054556250572205,
-0.006730600725859404,
0.01368570514023304,
-0.02412060648202896,
0.010443881154060364,
-0.030712014064192772,
-0.021354729309678078,
-0.014745359309017658,
0.031502265483140945,
-0.04734319821000099,
0.022971149533987045,
0.016227079555392265,
-0.030263008549809456,
0.02342015691101551,
-0.034447744488716125,
0.005141119472682476,
-0.0028354732785373926,
-0.021157165989279747,
-0.024102644994854927,
-0.04091343283653259,
-0.01655036397278309,
-0.001967769116163254,
-0.01609237678349018,
0.01109044998884201,
0.01825658604502678,
-0.028000017628073692,
0.016271980479359627,
0.02656319923698902,
-0.04184736683964729,
-0.03487879037857056,
-0.005262351129204035,
0.023563837632536888,
-0.044146277010440826,
-0.0419551283121109,
-0.02070816047489643,
0.023204633966088295,
0.006088522262871265,
-0.005105198826640844,
0.018211685121059418,
-0.06857220828533173,
-0.06307636946439743,
-0.024372048676013947,
0.018059024587273598,
0.0010961360530927777,
0.0034326512832194567,
-0.07428356260061264,
0.0193431805819273,
0.040769752115011215,
0.0039153327234089375,
0.025611305609345436,
0.010740225203335285,
-0.014969862066209316,
-0.028520865365862846,
-0.03362157568335533,
-0.032274555414915085,
-0.0014233492547646165,
-0.011557416059076786,
-0.0428890585899353,
-0.015149464830756187,
-0.012437468394637108,
-0.00032328435918316245,
-0.04831305146217346,
-0.015149464830756187,
-0.0030105856712907553,
0.05916104093194008,
0.044146277010440826,
-0.01798718236386776,
0.027515091001987457,
0.0037402205634862185,
0.013515082187950611,
-0.021390648558735847,
-0.036890339106321335,
0.011916620656847954,
0.043284185230731964,
0.025988470762968063,
-0.014628618024289608,
0.009411167353391647,
0.044146277010440826,
0.005473384167999029,
-0.05172549933195114,
0.031125100329518318,
0.05032460018992424,
0.0060481117106974125,
-0.005976270884275436,
0.04482876509428024,
-0.016424641013145447,
-0.039440691471099854,
0.04407443478703499,
0.04676847159862518,
-0.006304045207798481,
0.006892242934554815,
-0.005001927725970745,
-0.024012845009565353,
0.049103304743766785,
-0.009137273766100407,
-0.04446956142783165,
-0.02101348340511322,
0.048672258853912354,
0.012724831700325012,
0.021067364141345024,
-0.023132791742682457,
-0.02302503027021885,
0.021121244877576828,
0.040841590613126755,
-0.023330355063080788,
0.014987822622060776,
0.00048464591964147985,
-0.016262998804450035,
0.059340640902519226,
-0.019397061318159103,
0.0264733973890543,
0.002691791392862797,
0.00300385057926178,
0.022109057754278183,
0.04899554327130318,
-0.01973830722272396,
-0.036962177604436874,
-0.008710717782378197,
0.014152671210467815,
-0.04267353564500809,
-0.036351531744003296,
-0.006304045207798481,
0.0055497149005532265,
0.008059659041464329,
0.018624771386384964,
0.025054538622498512,
-0.04443363845348358,
-0.05811934545636177,
0.012895454652607441,
0.04252985492348671,
0.008831948973238468,
0.02275562658905983,
-0.02295318990945816,
-0.020025670528411865,
-0.039871737360954285,
0.01658628322184086,
0.004121875856071711,
0.008854399435222149,
-0.006088522262871265,
-0.012868514284491539,
0.01857089065015316,
0.031107140704989433,
0.01596665568649769,
-0.04188328608870506,
0.0020104246214032173,
0.022378461435437202,
-0.007026944775134325,
-0.020277114585042,
-0.014763319864869118,
0.031268782913684845,
0.03854268044233322,
-0.006411806680262089,
-0.03583068400621414,
0.0035853134468197823,
0.015589490532875061,
-0.00381879648193717,
-0.007951897569000721,
-0.008580505847930908,
0.033406052738428116,
-0.008378453552722931,
0.011692117899656296,
-0.06968574225902557,
0.02368956059217453,
0.009164214134216309,
0.0031475324649363756,
0.0038547171279788017,
0.014062870293855667,
-0.001561418641358614,
0.015356007032096386,
0.023330355063080788,
0.035687003284692764,
0.002927519613876939,
0.009213604032993317,
0.05603595823049545,
0.02198333665728569,
-0.0012201740173622966,
-0.001389673794619739,
0.0014087564777582884,
-0.019432982429862022,
0.03530983626842499,
0.028987832367420197,
0.0072110374458134174,
0.053988490253686905,
-0.03055037185549736,
0.01907377690076828,
-0.030765894800424576,
0.011737018823623657,
-0.0029118042439222336,
-0.011305972933769226,
-0.10108024626970291,
-0.028700467199087143,
-0.0010579705704003572,
-0.0002494789951015264,
-0.030065445229411125,
0.00518601993098855,
-0.017574097961187363,
0.001124198897741735,
-0.000925513741094619,
-0.0433560274541378,
0.035651080310344696,
0.00300385057926178,
-0.03310072794556618,
-0.034016698598861694,
0.054060328751802444,
-0.004579861648380756,
0.07945611327886581,
-0.005576655268669128,
-0.013452221639454365,
-0.06641697883605957,
0.03450162708759308,
0.021390648558735847,
0.04508020728826523,
-0.02322259359061718,
0.034447744488716125,
0.006892242934554815,
0.029023751616477966,
-0.008405393920838833,
-0.047666482627391815,
0.05316231772303581,
-0.0446491613984108,
0.006357925944030285,
0.036620933562517166,
0.04727135971188545,
0.005953820422291756,
0.015302126295864582,
-0.014511875808238983,
0.01946890354156494,
0.021121244877576828,
0.059843529015779495,
0.07169728726148605,
0.03647725284099579,
0.041272636502981186,
-0.04152408242225647,
0.03329829126596451,
-0.02218089997768402,
-0.014673518016934395,
-0.008670306764543056,
0.02496473677456379,
0.025252101942896843,
0.06418990343809128,
-0.0015030477661639452,
-0.02338423579931259,
-0.04608598351478577,
-0.02442592941224575,
0.0009939871961250901,
0.016837727278470993,
-0.008414373733103275,
-0.007345739286392927,
-0.005388072691857815,
0.00031879430753178895,
-0.022773588076233864,
0.007255937904119492,
-0.029095593839883804,
-0.038901884108781815,
0.012203984893858433,
-0.008679287508130074,
-0.006429766770452261,
-0.012491349130868912,
0.005199490115046501,
0.015221305191516876,
0.01608339697122574,
-0.017897382378578186,
-0.017008349299430847,
-0.020277114585042,
0.030712014064192772,
0.030460571870207787,
0.015903795138001442,
0.010300199501216412,
0.014880061149597168,
-0.04493652656674385,
-0.030927537009119987,
-0.02315075322985649,
-0.02004363015294075,
0.001479474944062531,
-0.02288134954869747,
0.04098527505993843,
0.06397438049316406,
0.0012785447761416435,
0.021767813712358475,
-0.04263761639595032,
-0.036459293216466904,
0.022809507325291634,
-0.004961517173796892,
0.0276408139616251,
0.0396202951669693,
-0.04005134105682373,
-0.02659911848604679,
0.0267068799585104,
-0.004326173570007086,
0.002312381286174059,
-0.005033358000218868,
-0.014017969369888306,
0.0033495852258056402,
-0.00017356890020892024,
-0.0742117241024971,
0.019217459484934807,
0.04191920533776283,
0.037321384996175766,
-0.022737666964530945,
0.036459293216466904,
0.025216180831193924,
-0.033280327916145325,
0.0023932023905217648,
-0.010883906856179237,
0.06401030719280243,
0.055461227893829346,
-0.005639516282826662,
0.013703664764761925,
-0.02128288708627224,
0.05409625172615051,
-0.027712654322385788,
-0.022342542186379433,
0.022737666964530945,
-0.030891617760062218,
0.022127019241452217,
-0.001253849477507174,
-0.036926258355379105,
0.05862223356962204,
0.04658886790275574,
0.02403080463409424,
0.026078272610902786,
0.04281722009181976,
0.038327157497406006,
0.03807571530342102,
0.018983976915478706,
-0.006353436037898064,
0.02794613689184189,
-0.012033362872898579,
0.008939710445702076,
-0.0003917577851098031,
0.0352918766438961,
-0.014862100593745708,
0.005275821313261986,
0.006955103948712349,
0.0022326826583594084,
-0.01930726133286953,
0.03636949136853218,
-0.01064144354313612,
-0.0013054851442575455,
-0.008791538886725903,
-0.027191806584596634,
0.0017398984637111425,
-0.018445169553160667,
0.037357304245233536,
0.011189230717718601,
0.02632971480488777,
-0.029203355312347412,
0.047630563378334045,
0.0024987186770886183,
-0.013308539986610413,
0.004047789610922337,
0.009029512293636799,
0.0308556966483593,
0.027712654322385788,
-0.03078385628759861,
0.03620784729719162,
0.025341901928186417,
-0.002503208816051483,
0.017259793356060982,
-0.008975631557404995,
-0.03811163455247879,
0.015840934589505196,
0.021300848573446274,
0.00912829302251339,
-0.032669682055711746,
0.006622839253395796,
-0.02241438254714012,
-0.01825658604502678,
0.019217459484934807,
-0.05772421881556511,
-0.01900193654000759,
-0.0029948705341666937,
0.014107770286500454,
0.032777443528175354,
-0.01134189311414957,
0.014808219857513905,
0.007686983793973923,
-0.005109689198434353,
0.0019890968687832355,
0.013272618874907494,
-0.006515077780932188,
-0.01258115004748106,
0.011440674774348736,
-0.02419244684278965,
-0.0020755305886268616,
-0.003028545994311571,
-0.03047853149473667,
-0.001746633555740118,
-0.00670815072953701,
0.0147543391212821,
-0.0050692786462605,
0.004970496986061335,
0.01853496953845024,
0.06796155869960785,
-0.004478835500776768,
-0.0011662932811304927,
-0.007749844808131456,
0.011180250905454159,
0.0002111731591867283,
0.0010865946533158422,
-0.0018903155578300357,
0.03757282719016075,
0.013254659250378609,
-0.029364997521042824,
-0.0016467297682538629,
-0.011350872926414013,
-0.02988584339618683,
0.011305972933769226,
-0.015014762990176678,
-0.026419516652822495,
-0.0026087253354489803,
0.0014536571688950062,
-0.01258115004748106,
0.06695578247308731,
0.03613600879907608,
-0.030460571870207787,
-0.04508020728826523,
-0.04878002032637596,
0.008409883826971054,
0.028323302045464516,
-0.03031688928604126,
0.0181129053235054,
-0.0030981418676674366,
-0.018391288816928864,
0.025611305609345436,
-0.04166776314377785,
0.00986915361136198,
-0.007278388366103172,
0.002330341376364231,
-0.05129445344209671,
0.037429146468639374,
-0.00037660382804460824,
0.03484287112951279,
-0.0018476599361747503,
-0.02974216267466545,
0.007924957200884819,
-0.028323302045464516,
-0.001656832406297326,
0.042170651257038116,
0.03337012976408005,
0.02509045973420143,
-0.000894083350431174,
-0.02496473677456379,
0.003702054964378476,
0.011431694030761719,
-0.048133451491594315,
0.04644518718123436,
-0.004948046989738941,
-0.03380117565393448,
-0.02298911102116108,
-0.002207987243309617,
-0.023563837632536888,
-0.01420655194669962,
0.060274574905633926,
-0.037932030856609344,
-0.0024874936789274216,
0.021354729309678078,
0.008890320546925068,
-0.030729975551366806,
-0.04824121296405792,
-0.006227714009582996,
0.020690198987722397,
-0.00781270582228899,
-0.030442610383033752,
-0.016155237331986427,
-0.036962177604436874,
0.04874409735202789,
-0.03617192804813385,
-0.03001156449317932,
0.006510587874799967,
0.04576269909739494,
-0.0695420578122139,
-0.028987832367420197,
0.020295074209570885,
0.039871737360954285,
0.001715203165076673,
0.03972805663943291,
0.028449025005102158,
-0.03714178130030632,
-0.05129445344209671,
-0.020869802683591843,
0.027515091001987457,
0.029634401202201843,
0.005392563063651323,
0.022629905492067337,
0.008769088424742222,
0.008571526035666466,
0.03189739212393761,
0.03152022510766983,
0.02803593873977661,
-0.02690444327890873,
-0.016873648390173912,
0.019935868680477142,
0.012679931707680225,
0.0103720398619771,
-0.0020732854027301073,
0.001900418195873499,
0.02907763235270977,
-0.0033091746736317873,
0.0320231132209301,
-0.021390648558735847,
-0.008207830600440502,
-0.008849909529089928,
-0.002109206048771739,
0.037465065717697144,
0.0009507703362032771,
0.04827713221311569,
0.0223245806992054,
0.031071219593286514,
0.027479171752929688,
-0.001013631233945489,
0.05409625172615051,
-0.06472871452569962,
-0.00409942539408803,
-0.027119966223835945,
-0.031699828803539276,
-0.016658125445246696,
-0.0264733973890543,
-0.02329443395137787,
-0.023330355063080788,
-0.009087882936000824,
0.032310474663972855,
-0.0019071532879024744,
0.012670950964093208,
-0.07126624137163162,
-0.033406052738428116,
-0.018157804384827614,
0.059915367513895035,
-0.037357304245233536,
-0.018157804384827614,
0.0028242480475455523,
0.030801815912127495,
0.00968955084681511,
0.012706872075796127,
-0.00858948566019535,
0.03480695188045502,
-0.011566395871341228,
0.013883267529308796,
-0.020905721932649612,
-0.0003058853908441961,
-0.01445799507200718,
0.0193431805819273,
0.03101733885705471,
0.034788988530635834,
-0.01405388955026865,
0.007287368644028902,
0.009312385693192482,
0.020330995321273804,
-0.006398336496204138,
0.0331905297935009,
0.019181538373231888,
0.020869802683591843,
0.011171271093189716,
-0.016074417158961296,
0.008261711336672306,
-0.0295086782425642,
-0.013631824404001236,
-0.008638876490294933,
0.03453754633665085,
-0.016262998804450035,
0.00017651550297159702,
0.005706867203116417,
-0.04554717615246773,
0.06447727233171463,
0.021103285253047943,
0.05869407206773758,
-0.0018566400976851583,
0.01709815114736557,
0.015948696061968803,
-0.00751187140122056,
-0.024677373468875885,
0.06968574225902557,
0.020061591640114784,
-0.0036728696431964636,
-0.014709439128637314,
0.03134062513709068,
-0.0003718331572599709,
-0.013057095929980278,
0.0013357930583879352,
-0.015885835513472557,
0.026958324015140533,
-0.05075564607977867,
-0.03299296647310257,
0.012410528026521206,
0.014466975815594196,
-0.0041869813576340675
] |
An abundance of information about cancer exists online, but categorizing and
extracting useful information from it is difficult. Almost all research within
healthcare data processing is concerned with formal clinical data, but there is
valuable information in non-clinical data too. The present study combines
methods within distributed computing, text retrieval, clustering, and
classification into a coherent and computationally efficient system, that can
clarify cancer patient trajectories based on non-clinical and freely available
information. We produce a fully-functional prototype that can retrieve, cluster
and present information about cancer trajectories from non-clinical forum
posts. We evaluate three clustering algorithms (MR-DBSCAN, DBSCAN, and HDBSCAN)
and compare them in terms of Adjusted Rand Index and total run time as a
function of the number of posts retrieved and the neighborhood radius.
Clustering results show that neighborhood radius has the most significant
impact on clustering performance. For small values, the data set is split
accordingly, but high values produce a large number of possible partitions and
searching for the best partition is hereby time-consuming. With a proper
estimated radius, MR-DBSCAN can cluster 50000 forum posts in 46.1 seconds,
compared to DBSCAN (143.4) and HDBSCAN (282.3). We conduct an interview with
the Danish Cancer Society and present our software prototype. The organization
sees a potential in software that can democratize online information about
cancer and foresee that such systems will be required in the future. | [
0.01153636910021305,
0.005518399178981781,
-0.032305534929037094,
-0.029437631368637085,
0.05572982132434845,
-0.016883619129657745,
-0.016115762293338776,
0.007636946626007557,
-0.04599745571613312,
0.021648038178682327,
0.016115762293338776,
-0.06202070415019989,
-0.0006123203202150762,
-0.04351810738444328,
0.00438280263915658,
0.0375787727534771,
0.016125012189149857,
-0.015264642424881458,
0.037523265928030014,
-0.07926512509584427,
0.005657169036567211,
0.004357361234724522,
-0.03186147287487984,
0.01831757090985775,
0.027587370947003365,
0.03432231768965721,
0.030455274507403374,
-0.034377824515104294,
-0.07005082815885544,
0.008464938029646873,
0.02305423468351364,
0.0211669709533453,
0.014302507042884827,
-0.10080214589834213,
-0.019168689846992493,
-0.04625649005174637,
-0.009519585408270359,
0.03143591061234474,
0.05709901079535484,
0.022406645119190216,
0.06690538674592972,
-0.04555339366197586,
0.0011327058309689164,
0.01057423371821642,
0.029955703765153885,
-0.03262007609009743,
-0.031195377930998802,
-0.011221825145184994,
0.02381284162402153,
0.0003044255427084863,
-0.012119201011955738,
-0.039928603917360306,
0.005994841456413269,
-0.07293723523616791,
-0.018521098420023918,
0.016809608787298203,
0.0020190959330648184,
0.06387096643447876,
0.053990576416254044,
0.056617945432662964,
0.06435202807188034,
0.006503662560135126,
-0.003654262749478221,
0.007738710846751928,
0.02196258120238781,
-0.02904907613992691,
-0.039114490151405334,
0.038374386727809906,
-0.022850707173347473,
0.010814767330884933,
-0.010148674249649048,
-0.02170354500412941,
-0.008210526779294014,
0.03378574177622795,
-0.003388287965208292,
-0.017420195043087006,
-0.013876947574317455,
0.017114901915192604,
-0.07053189724683762,
-0.009621350094676018,
0.06128060072660446,
0.041223783046007156,
-0.014580045826733112,
-0.002770763821899891,
0.03008522093296051,
-0.04340709000825882,
0.03162093833088875,
-0.09599146991968155,
0.048809848725795746,
0.023627815768122673,
-0.04503532126545906,
-0.025533583015203476,
0.01957574672996998,
-0.010666746646165848,
0.0229802243411541,
0.013210853561758995,
-0.00025123058003373444,
0.013266361318528652,
-0.052177321165800095,
-0.0061474875546991825,
-0.00635564187541604,
-0.06042947992682457,
0.03191697970032692,
-0.04499831423163414,
-0.0073224026709795,
-0.04684857279062271,
-0.012637273408472538,
0.035432472825050354,
0.0308438278734684,
0.17806899547576904,
-0.0219440795481205,
0.013284863904118538,
-0.013303366489708424,
-0.006929222494363785,
-0.021537022665143013,
0.00048106751637533307,
0.009112528525292873,
-0.08481590449810028,
0.019982803612947464,
-0.023091239854693413,
-0.013775182887911797,
-0.0022700373083353043,
-0.015116621740162373,
0.025977645069360733,
-0.05813515931367874,
0.03952154517173767,
0.02592213824391365,
-0.00661467807367444,
0.015495924279093742,
0.02671774849295616,
0.0017149593913927674,
-0.018447088077664375,
-0.004359674174338579,
0.004725100472569466,
0.06820057332515717,
0.02978917956352234,
0.054286617785692215,
0.01061123888939619,
0.04374013841152191,
0.012600268237292767,
0.00587920006364584,
-0.03633910045027733,
-0.055359769612550735,
-0.04943893849849701,
0.001886108424514532,
-0.00212086015380919,
-0.039410531520843506,
0.028086941689252853,
-0.0627238005399704,
0.012220964767038822,
-0.058764245361089706,
-0.0009395849774591625,
0.03500691428780556,
0.02016782946884632,
0.0476996935904026,
-0.03347119688987732,
0.019187193363904953,
-0.038855452090501785,
-0.02773539163172245,
-0.028345977887511253,
0.030399765819311142,
0.010805516503751278,
0.045183341950178146,
0.02638470195233822,
0.026847267523407936,
-0.01566244848072529,
-0.04166784882545471,
-0.03167644515633583,
-0.00889512337744236,
0.03556198999285698,
-0.03358221426606178,
0.01964975707232952,
0.010074663907289505,
0.05576682463288307,
-0.038892459124326706,
0.07175306975841522,
0.015477421693503857,
-0.016809608787298203,
-0.03169494867324829,
-0.01884489506483078,
-0.05206630751490593,
0.044628262519836426,
-0.044295214116573334,
0.0002733469591476023,
0.03173195198178291,
0.050105031579732895,
0.07264119386672974,
0.006966227665543556,
0.05021604523062706,
-0.057950131595134735,
-0.007331653963774443,
-0.041482821106910706,
0.03944753482937813,
0.003580252407118678,
0.013442136347293854,
0.007692454382777214,
0.010111669078469276,
0.03382274508476257,
-0.018715376034379005,
-0.07349231094121933,
-0.069125697016716,
-0.056136876344680786,
0.03874443843960762,
0.03539546579122543,
0.03915149345993996,
0.004741290118545294,
0.03295312449336052,
-0.03530295565724373,
0.027254324406385422,
-0.06646132469177246,
-0.05487870052456856,
0.043296076357364655,
-0.05646992474794388,
0.01166588719934225,
-0.012637273408472538,
-0.015569934621453285,
-0.004949444439262152,
0.0029766052030026913,
-0.005717302206903696,
-0.019464731216430664,
0.06087354198098183,
-0.0387074314057827,
0.06072552129626274,
0.0012304226402193308,
-0.01309983804821968,
0.004419807810336351,
0.016883619129657745,
-0.007951490581035614,
0.029345117509365082,
-0.02377583645284176,
0.0048430548049509525,
0.02538556233048439,
-0.01644880883395672,
-0.031805962324142456,
-0.01596774160861969,
-0.03966956585645676,
0.039891596883535385,
0.02614416927099228,
-0.033378683030605316,
0.025311551988124847,
0.006462031975388527,
0.01597699150443077,
-0.02355380542576313,
0.01750345714390278,
0.04300003498792648,
0.03528445214033127,
-0.0314544141292572,
0.030510781332850456,
0.022295629605650902,
0.021537022665143013,
0.01179540529847145,
-0.0033281545620411634,
-0.004637213423848152,
0.07500952482223511,
-0.013127592392265797,
0.014654056169092655,
-0.018437838181853294,
-0.00916341133415699,
0.023720327764749527,
-0.024182893335819244,
0.06524015218019485,
-0.023368779569864273,
-0.006128984969109297,
0.08644413203001022,
0.003975745290517807,
0.006651683244854212,
0.07201210409402847,
0.045405372977256775,
0.035228945314884186,
0.00965835526585579,
-0.030510781332850456,
-0.049845993518829346,
-0.014959349296987057,
-0.01228572428226471,
-0.020778415724635124,
-0.022554665803909302,
0.015098119154572487,
-0.013821439817547798,
-0.032287031412124634,
0.018983663991093636,
-0.044887300580739975,
-0.028179453685879707,
0.006586924195289612,
-0.0008881246321834624,
-0.08822038024663925,
-0.03748625889420509,
0.008575953543186188,
-0.051659248769283295,
0.005083588417619467,
-0.04240795224905014,
-0.02618117444217205,
-0.07719283550977707,
-0.02823496237397194,
0.006054974626749754,
0.029696667566895485,
-0.021611033007502556,
-0.012045190669596195,
0.009852632880210876,
0.019945798441767693,
0.01678185537457466,
-0.046922583132982254,
-0.03563600033521652,
0.038596417754888535,
0.04085373133420944,
0.040113627910614014,
0.02751336060464382,
0.053546514362096786,
0.029733672738075256,
-0.06261278688907623,
-0.07364033162593842,
-0.014570794999599457,
0.016541320830583572,
-0.010324448347091675,
-0.012202462181448936,
0.051918286830186844,
0.02094493992626667,
0.029770677909255028,
0.006337139289826155,
0.010990542359650135,
-0.06124359369277954,
0.03143591061234474,
-0.01281304843723774,
-0.08947855979204178,
0.04348110035061836,
-0.027032293379306793,
-0.02124098129570484,
-0.05783911794424057,
0.013386628590524197,
0.015338652767241001,
0.034433331340551376,
0.028068438172340393,
0.012202462181448936,
0.027032293379306793,
0.00556928152218461,
-0.012655775994062424,
-0.038078341633081436,
-0.0229802243411541,
0.021851565688848495,
0.022924717515707016,
0.04503532126545906,
0.00465340306982398,
-0.036487121134996414,
0.021648038178682327,
0.018493345007300377,
-0.013775182887911797,
0.0017126465681940317,
-0.028068438172340393,
0.005129844881594181,
0.013608659617602825,
-0.04551638662815094,
0.0012350482866168022,
-0.016162017360329628,
-0.020593389868736267,
0.01724441908299923,
-0.04007662460207939,
-0.03793032094836235,
-0.04037266597151756,
-0.022110601887106895,
0.05728403851389885,
-0.027328334748744965,
0.012045190669596195,
-0.057432059198617935,
-0.014829831197857857,
-0.007488925941288471,
-0.04055768996477127,
0.004815300926566124,
0.029493138194084167,
0.01241524238139391,
0.012174708768725395,
0.035710010677576065,
-0.028364479541778564,
0.012257969938218594,
0.01723516918718815,
-0.010287443175911903,
-0.03981758654117584,
-0.0011841661762446165,
0.022314131259918213,
0.010407710447907448,
-0.04677456244826317,
0.024182893335819244,
0.0038323502521961927,
0.039891596883535385,
0.005865322891622782,
0.0038924836553633213,
-0.022110601887106895,
0.06831158697605133,
0.015810469165444374,
-0.004322669003158808,
-0.014987102709710598,
0.04707060381770134,
0.00970461219549179,
-0.002784640761092305,
0.02044536918401718,
-0.04995701089501381,
-0.022147607058286667,
-0.02460845373570919,
0.013738177716732025,
0.005717302206903696,
0.017077896744012833,
-0.01987178809940815,
-0.030751315876841545,
0.007447294890880585,
-0.0344703383743763,
0.0402616485953331,
-0.019483234733343124,
-0.04577542468905449,
-0.017392439767718315,
-0.020815420895814896,
-0.008242907002568245,
0.04003961756825447,
-0.012230216525495052,
0.018965160474181175,
0.014459779486060143,
0.015098119154572487,
0.018419334664940834,
0.012341232039034367,
-0.0019497111206874251,
0.06494411081075668,
-0.03419279679656029,
-0.02198108471930027,
-0.03694968670606613,
0.01985328644514084,
0.033637721091508865,
0.01348839234560728,
-0.03796732798218727,
0.046182479709386826,
0.010555731132626534,
-0.03554348647594452,
0.04240795224905014,
-0.04240795224905014,
0.01648581400513649,
0.06501812487840652,
-0.051696255803108215,
-0.007262269034981728,
0.042778003960847855,
-0.015412663109600544,
0.014163737185299397,
0.0021092959214001894,
-0.033878255635499954,
0.0027568868827074766,
-0.05972637981176376,
0.01136059407144785,
-0.010167176835238934,
0.02201808989048004,
-0.05362052470445633,
-0.018400833010673523,
0.0008285694057121873,
0.018891150131821632,
-0.03863342106342316,
-0.005629415158182383,
-0.019002165645360947,
0.014755820855498314,
-0.04370313137769699,
0.011129312217235565,
0.0222031157463789,
-0.02668074332177639,
-0.011388348415493965,
-0.04155683144927025,
-0.010601988062262535,
-0.009103277698159218,
-0.01005616132169962,
0.0016525131650269032,
0.0151628777384758,
0.004338858649134636,
-0.014302507042884827,
0.06561020761728287,
0.0209079347550869,
-0.0950293317437172,
0.01320160273462534,
0.029974205419421196,
-0.004856931511312723,
-0.06631330400705338,
-0.04003961756825447,
0.04869883507490158,
-0.0075814388692379,
0.0046187108382582664,
0.07356632500886917,
0.011157065629959106,
0.0032217646948993206,
-0.015190632082521915,
0.0016316977562382817,
0.028919558972120285,
-0.020241839811205864,
0.042518965899944305,
-0.042037900537252426,
0.01915018819272518,
-0.0009974056156352162,
0.026514220982789993,
0.0034229804296046495,
0.0023868349380791187,
0.009982150979340076,
-0.016384048387408257,
-0.060318462550640106,
-0.049290917813777924,
-0.014885338954627514,
-0.0052963681519031525,
-0.058727242052555084,
-0.012165457010269165,
-0.0012015124084427953,
0.007752588018774986,
0.033915258944034576,
-0.040113627910614014,
-0.0329161174595356,
-0.02666224166750908,
-0.0224621519446373,
0.0367276556789875,
0.017984524369239807,
-0.03896646946668625,
-0.014691061340272427,
-0.0006712973117828369,
-0.03299012780189514,
-0.0018236621981486678,
-0.004792172461748123,
-0.04969797283411026,
-0.012452247552573681,
0.03765278309583664,
-0.012248719111084938,
0.017355434596538544,
-0.005453640129417181,
0.02224012091755867,
0.039928603917360306,
-0.003059866838157177,
-0.03143591061234474,
0.020870929583907127,
-0.055581800639629364,
-0.015838222578167915,
0.018659869208931923,
0.015745708718895912,
0.002182150026783347,
-0.010194930247962475,
0.02953014336526394,
0.04340709000825882,
-0.009316056966781616,
-0.008372425101697445,
0.01593073643743992,
-0.021018950268626213,
0.03985459357500076,
0.032546065747737885,
0.010592736303806305,
-0.035987548530101776,
-0.048254773020744324,
0.08244756609201431,
-0.03567300736904144,
-0.003082995070144534,
-0.009806375950574875,
0.05021604523062706,
0.017457200214266777,
0.03276809677481651,
0.015014857053756714,
0.006522165145725012,
-0.04858781769871712,
0.04577542468905449,
0.019538741558790207,
-0.05683997645974159,
-0.03933652117848396,
-0.020593389868736267,
0.07134601473808289,
-0.01401571650058031,
-0.0014813641319051385,
-0.03608006238937378,
-0.008372425101697445,
0.000894484925083816,
0.00008658636943437159,
-0.0230727382004261,
0.0020179394632577896,
-0.009815627709031105,
-0.030177734792232513,
0.0665353387594223,
0.0032217646948993206,
-0.017438696697354317,
0.01626378297805786,
-0.029234101995825768,
-0.045183341950178146,
-0.04551638662815094,
0.0026065532583743334,
-0.01729067601263523,
0.011342091485857964,
-0.04270399361848831,
0.012887058779597282,
0.004239407368004322,
0.03604305908083916,
0.01502410788089037,
0.0009979838505387306,
0.05709901079535484,
0.020519379526376724,
0.0023243885952979326,
0.015606939792633057,
-0.04795873165130615,
-0.004852306097745895,
-0.00022159749642014503,
-0.0022989476565271616,
-0.001968213589861989,
-0.021555524319410324,
-0.03134339675307274,
0.010407710447907448,
0.034655362367630005,
-0.00992664322257042,
0.028086941689252853,
-0.007502802647650242,
-0.07978319376707077,
-0.019964301958680153,
0.03852240741252899,
0.018132545053958893,
0.009713863022625446,
-0.00633251341059804,
-0.011258830316364765,
-0.020833924412727356,
-0.01600474677979946,
-0.0035640625283122063,
0.041704852133989334,
0.018715376034379005,
-0.03841139003634453,
0.018937407061457634,
0.04943893849849701,
0.021888570860028267,
-0.008219778537750244,
0.07993121445178986,
0.0590972937643528,
-0.03189847618341446,
-0.021796058863401413,
0.02803143300116062,
-0.034377824515104294,
0.0502900555729866,
0.027272827923297882,
-0.0002520978741813451,
0.01833607256412506,
-0.008303039707243443,
-0.013266361318528652,
-0.014885338954627514,
0.014395019970834255,
-0.03326766937971115,
0.019205695018172264,
-0.022591670975089073,
-0.023091239854693413,
-0.005476768594235182,
0.028123946860432625,
0.00877948198467493,
0.047773703932762146,
0.026773257181048393,
-0.012618770822882652,
-0.016310038045048714,
0.059282317757606506,
0.026310691609978676,
0.07056890428066254,
-0.012248719111084938,
0.008696219883859158,
-0.007442669477313757,
0.005060459952801466,
0.07904309034347534,
0.0003677390923257917,
0.030288750305771828,
0.03115837275981903,
-0.014487532898783684,
0.02486748993396759,
0.014663307927548885,
-0.009006138890981674,
-0.03454434871673584,
0.0027129431255161762,
-0.006980104371905327,
0.017401691526174545,
0.03867042809724808,
-0.04436922445893288,
0.0815594419836998,
0.04525735229253769,
0.01749420538544655,
0.0497719831764698,
0.03374873474240303,
0.02014932781457901,
-0.008081008680164814,
0.046219486743211746,
0.006836709566414356,
-0.002562609501183033,
-0.020556384697556496,
-0.010925782844424248,
0.014358014799654484,
-0.0031292515341192484,
-0.00404975563287735,
-0.010065412148833275,
-0.031176874414086342,
-0.01309983804821968,
-0.013534649275243282,
-0.010722254402935505,
0.00510671641677618,
0.0033027133904397488,
-0.04318505898118019,
0.013784434646368027,
-0.0028771536890417337,
0.040113627910614014,
0.0030621797777712345,
-0.0314544141292572,
-0.011147814802825451,
0.057691097259521484,
0.054027583450078964,
0.006041097920387983,
0.043592117726802826,
-0.0298076830804348,
-0.05054909363389015,
-0.008770231157541275,
0.021907074376940727,
-0.022906213998794556,
-0.0229802243411541,
0.007673951797187328,
-0.0060966056771576405,
0.019279705360531807,
-0.020075317472219467,
0.03746775910258293,
0.00556928152218461,
-0.018178800120949745,
-0.0016201336402446032,
-0.008196650072932243,
-0.02175905369222164,
0.030492279678583145,
-0.021018950268626213,
-0.011212573386728764,
0.0020757599268108606,
-0.052214328199625015,
-0.008335419930517673,
-0.002978917909786105,
-0.016273032873868942,
0.036209579557180405,
-0.023183753713965416,
0.030529284849762917,
0.00030702745425514877,
-0.051141176372766495,
-0.010555731132626534,
0.06505513191223145,
0.0032633955124765635,
-0.027938921004533768,
0.04207490384578705,
-0.0009586657979525626,
0.021389001980423927,
-0.039410531520843506,
0.022647177800536156,
0.007942239753901958,
0.002072290750220418,
-0.008150394074618816,
0.035413969308137894,
0.020759914070367813,
-0.007239141035825014,
0.057691097259521484,
0.012794545851647854,
-0.014709563925862312,
-0.0054906453005969524,
-0.01322935614734888,
0.001694143982604146,
0.019501736387610435,
-0.009649104438722134,
0.010666746646165848,
-0.011869415640830994,
-0.01596774160861969,
-0.0021798370871692896,
-0.046663548797369,
0.051918286830186844,
-0.04766268655657768,
-0.08385376632213593,
-0.003527057357132435,
0.021314991638064384,
0.04370313137769699,
-0.01035220269113779,
0.03406327962875366,
-0.014284004457294941,
0.034692369401454926,
0.023627815768122673,
0.05554479360580444,
0.000983528676442802,
0.01205444149672985,
-0.03733823820948601,
0.05491570755839348,
0.008534322492778301,
-0.016587577760219574,
-0.02956714853644371,
-0.017734738066792488,
0.0428520143032074,
-0.04237094521522522,
0.006133610848337412,
-0.014681810513138771,
0.016134263947606087,
0.044332221150398254,
0.01140685100108385,
-0.0036797039210796356,
-0.0012084508780390024,
0.046959590166807175,
0.01375668030232191,
0.012961069121956825,
-0.007937613874673843,
-0.011388348415493965,
0.034932900220155716,
-0.02906757965683937,
-0.025792619213461876,
0.0046695927157998085,
-0.037504762411117554,
0.011850913055241108,
0.02612566575407982,
0.02175905369222164,
0.028419988229870796,
-0.007229889743030071,
0.031509920954704285,
-0.0387074314057827,
-0.03223152458667755,
-0.023183753713965416,
0.028568008914589882,
-0.027402345091104507,
-0.03743075206875801,
-0.019760772585868835,
-0.012554011307656765,
-0.014913092367351055,
-0.0508081279695034,
-0.01674485020339489,
-0.008071757853031158,
0.017956769093871117,
-0.008455686271190643,
0.026273686438798904,
-0.00306911813095212,
0.06627629697322845,
0.024256903678178787,
-0.033896755427122116,
-0.02303573302924633,
0.013627162203192711,
-0.01410822942852974,
0.026329195126891136,
-0.003082995070144534,
-0.05291742458939552,
0.03978058323264122,
-0.011730645783245564,
-0.04551638662815094,
0.01703163981437683,
0.0151628777384758,
-0.0015403411816805601,
0.07401038706302643,
-0.02218461222946644,
0.011351343244314194,
-0.0034322317223995924,
0.02098194509744644,
-0.021796058863401413,
-0.021389001980423927,
0.027679884806275368,
-0.0020040625240653753,
0.02666224166750908,
0.046441517770290375,
0.014857584610581398,
0.01214695442467928,
-0.014987102709710598,
-0.028382983058691025,
-0.00284246145747602,
0.002689814893528819,
0.009843381121754646,
-0.030177734792232513,
0.02351680025458336,
-0.022573167458176613,
-0.005920830648392439,
0.0031824465841054916,
-0.019797777757048607,
-0.005587784107774496,
-0.01987178809940815,
-0.014256250113248825,
-0.006091979797929525,
0.02592213824391365,
0.000822787347715348,
0.0064759086817502975,
0.0008540104608982801,
0.042222924530506134,
0.022129105404019356,
-0.020315850153565407,
-0.007303900085389614,
0.020574886351823807,
-0.021796058863401413,
-0.02533005364239216,
-0.007789593189954758,
-0.02481198124587536,
-0.03841139003634453,
-0.02616267092525959,
0.02018633298575878,
0.02014932781457901,
0.032823607325553894,
0.03226852789521217,
0.01348839234560728,
-0.023868350312113762,
0.04103875905275345,
0.025478076189756393,
0.00043076358269900084,
0.004736664704978466,
0.01375668030232191,
-0.032564569264650345,
-0.010019156150519848,
0.03287911415100098,
-0.034692369401454926,
-0.025792619213461876,
-0.02114846743643284,
0.027050796896219254,
-0.014459779486060143,
-0.026773257181048393,
-0.01140685100108385,
0.012526257894933224,
-0.06276080757379532,
0.01884489506483078,
0.038855452090501785,
-0.03528445214033127,
0.034692369401454926,
-0.034396328032016754,
-0.011305086314678192,
-0.006711816880851984,
-0.015014857053756714,
-0.01139759924262762,
-0.019520239904522896,
0.03955855220556259,
-0.013312618248164654,
-0.02508952096104622,
-0.0418158695101738,
-0.007502802647650242,
0.011083055287599564,
-0.01126808114349842,
-0.03406327962875366,
0.012914812192320824,
0.001236204756423831,
0.04351810738444328,
-0.03578402101993561,
0.004544700030237436,
-0.007701705675572157,
0.020519379526376724,
-0.023701826110482216,
-0.008025500923395157,
0.04858781769871712,
-0.02507101744413376,
0.010731506161391735,
-0.0298076830804348,
0.010601988062262535,
-0.008113388903439045,
-0.029678164049983025,
0.004269474186003208,
-0.003203262109309435,
-0.015070364810526371,
0.01097203977406025,
0.03225002437829971,
0.02174055017530918,
0.06683138012886047,
-0.0011697110021486878,
0.013386628590524197,
-0.006975478958338499,
-0.03373023495078087,
-0.017697732895612717,
0.00321020046249032,
0.028142448514699936,
0.012757540680468082,
0.010102417320013046,
-0.01139759924262762,
-0.036246586591005325,
0.020611891523003578,
-0.01113856304436922,
0.003922550473362207,
-0.011610379442572594,
-0.05106716603040695,
-0.01162888202816248,
0.008432558737695217,
0.012257969938218594,
-0.015486673451960087,
-0.005342624615877867,
-0.023720327764749527,
-0.010296694934368134,
0.010537228547036648,
0.006054974626749754,
0.01622677780687809,
0.01372892688959837,
-0.004690408241003752,
0.006850586272776127,
0.03421130031347275,
-0.010019156150519848,
-0.025293048471212387,
-0.01675410196185112,
-0.03711620718240738,
0.006443529389798641,
0.021389001980423927,
-0.009232795797288418,
0.005768184550106525,
0.01573645882308483,
-0.043555110692977905,
0.03167644515633583,
-0.0035062420647591352,
0.012822299264371395,
-0.033082641661167145,
0.004026627633720636,
-0.03398926928639412,
-0.024700965732336044,
-0.02146301232278347,
-0.03341569006443024,
0.0010355671402066946,
-0.013821439817547798,
0.005370378494262695,
-0.010120919905602932,
0.006480534560978413,
0.06283481419086456,
0.027087802067399025,
0.0002503632567822933,
0.033600714057683945,
-0.01594923809170723,
-0.05043807625770569,
0.002507101744413376,
0.006494411267340183,
-0.00537500437349081,
-0.006517539732158184,
0.015588437207043171,
0.0021659601479768753,
-0.018918905407190323,
0.004213966429233551,
0.011453106999397278,
0.0075351824052631855,
0.00008434581832261756,
0.038892459124326706,
0.006364893168210983,
-0.059504348784685135,
0.045368365943431854,
0.01957574672996998,
0.028845548629760742,
0.016032500192523003,
0.04966096952557564,
0.0229802243411541,
0.003989622462540865,
-0.05158523842692375,
0.026310691609978676,
0.025848127901554108,
-0.07142002135515213,
-0.009186538867652416,
-0.01071300357580185,
-0.023424286395311356,
0.01306283287703991
] |
Autonomous agents that drive on roads shared with human drivers must reason
about the nuanced interactions among traffic participants. This poses a highly
challenging decision making problem since human behavior is influenced by a
multitude of factors (e.g., human intentions and emotions) that are hard to
model. This paper presents a decision making approach for autonomous driving,
focusing on the complex task of merging into moving traffic where uncertainty
emanates from the behavior of other drivers and imperfect sensor measurements.
We frame the problem as a partially observable Markov decision process (POMDP)
and solve it online with Monte Carlo tree search. The solution to the POMDP is
a policy that performs high-level driving maneuvers, such as giving way to an
approaching car, keeping a safe distance from the vehicle in front or merging
into traffic. Our method leverages a model learned from data to predict the
future states of traffic while explicitly accounting for interactions among the
surrounding agents. From these predictions, the autonomous vehicle can
anticipate the future consequences of its actions on the environment and
optimize its trajectory accordingly. We thoroughly test our approach in
simulation, showing that the autonomous vehicle can adapt its behavior to
different situations. We also compare against other methods, demonstrating an
improvement with respect to the considered performance metrics. | [
-0.013273576274514198,
0.003515779273584485,
-0.028609246015548706,
-0.02998397685587406,
0.01513131894171238,
0.062494486570358276,
-0.060785360634326935,
0.018698185682296753,
-0.08478740602731705,
0.03016975149512291,
-0.01459257397800684,
-0.015010565519332886,
0.032603394240140915,
0.01598588190972805,
-0.028887908905744553,
0.013505794107913971,
0.019822120666503906,
0.02901795133948326,
-0.04473445937037468,
-0.024986647069454193,
-0.006901516579091549,
-0.011898845434188843,
-0.0430624894797802,
0.08359844982624054,
0.028887908905744553,
0.013366462662816048,
0.03791654109954834,
0.012874160893261433,
-0.0888744369149208,
0.05075354874134064,
0.037377797067165375,
0.03886399045586586,
-0.0089589674025774,
-0.013691567815840244,
-0.03377377241849899,
0.011917423456907272,
0.049898985773324966,
0.030466990545392036,
0.028460627421736717,
0.07326939702033997,
0.025599703192710876,
-0.02541392855346203,
-0.023760536685585976,
-0.0760931670665741,
-0.007853609509766102,
0.018493834882974625,
-0.05896477401256561,
-0.011508719995617867,
-0.052945684641599655,
-0.04064742475748062,
0.005015906877815723,
-0.04209646210074425,
0.042393703013658524,
-0.06186285242438316,
-0.029816780239343643,
0.06851357221603394,
-0.0024963426403701305,
0.004525927361100912,
0.005995866376906633,
0.024559365585446358,
0.022794511169195175,
0.0015349603490903974,
-0.06271741539239883,
-0.004309964366257191,
-0.012771985493600368,
-0.012484035454690456,
0.07230336964130402,
-0.009595244191586971,
0.025469660758972168,
-0.056809790432453156,
-0.04153914004564285,
0.022683044895529747,
-0.03195318579673767,
-0.028572091832756996,
0.014834079891443253,
-0.007352019194513559,
0.0194134172052145,
0.03403385728597641,
0.022720200940966606,
-0.0002290249103680253,
0.014676172286272049,
0.015363536775112152,
-0.0026194180827587843,
-0.008671016432344913,
0.03979286178946495,
-0.039532776921987534,
0.07304646819829941,
-0.07683626562356949,
0.03522281348705292,
-0.01645960658788681,
-0.013375751674175262,
0.0030234772711992264,
-0.006910805124789476,
0.01893969252705574,
0.0028678912203758955,
0.032714858651161194,
0.03687620535492897,
0.042430855333805084,
-0.03908691927790642,
-0.013450061902403831,
0.02049090899527073,
0.006009799428284168,
0.04685228690505028,
0.04960174486041069,
0.013784455135464668,
0.0006670459406450391,
-0.0446229949593544,
0.022162877023220062,
0.026417110115289688,
0.11347096413373947,
0.020639527589082718,
0.02532104216516018,
0.011991732753813267,
0.021066809073090553,
-0.0409446619451046,
-0.014165292493999004,
-0.020175091922283173,
-0.042170774191617966,
0.029891090467572212,
-0.023277522996068,
0.04205930978059769,
0.06528110057115555,
-0.0007703829323872924,
-0.035464320331811905,
-0.009149385616183281,
-0.01552144531160593,
-0.010617002844810486,
-0.01515918504446745,
0.030727073550224304,
-0.0007599331438541412,
0.04581195116043091,
-0.0020551285706460476,
-0.06379490345716476,
0.05090216547250748,
0.028627824038267136,
-0.0012551378458738327,
0.0003111720143351704,
-0.0012435269309207797,
-0.005280635319650173,
0.026472842320799828,
-0.026064138859510422,
-0.019766388460993767,
-0.0606367401778698,
0.03793511912226677,
-0.02322179079055786,
0.05365162715315819,
-0.020175091922283173,
0.06758470088243484,
-0.06320042908191681,
0.019989317283034325,
-0.0301325973123312,
0.021791329607367516,
0.006404569838196039,
0.022720200940966606,
0.03975570574402809,
0.011434409767389297,
-0.023054594174027443,
0.013942363671958447,
0.01272554136812687,
-0.027420291677117348,
-0.011360100470483303,
-0.01786220259964466,
0.006395281292498112,
0.06951675564050674,
0.07869400829076767,
0.03208322823047638,
0.009367670863866806,
-0.05368878319859505,
-0.010329052805900574,
0.03295636549592018,
-0.06903374195098877,
-0.019784966483712196,
-0.011415832675993443,
0.030578454956412315,
0.015057009644806385,
0.030912848189473152,
0.06739892810583115,
0.018837517127394676,
-0.0038919721264392138,
0.028850752860307693,
-0.04949028044939041,
-0.039235539734363556,
-0.024856604635715485,
0.021122541278600693,
0.08984046429395676,
0.05725564807653427,
0.053131457418203354,
-0.015409980900585651,
0.060822516679763794,
-0.011062861420214176,
0.027791839092969894,
0.06048812344670296,
0.06126837432384491,
0.019822120666503906,
0.006701808888465166,
-0.03299352154135704,
-0.011332234367728233,
-0.008434155024588108,
-0.023723382502794266,
0.03204607218503952,
-0.018038688227534294,
-0.03436825051903725,
-0.014880524016916752,
0.0244293250143528,
0.03020690567791462,
-0.002837702864781022,
0.0024615097790956497,
-0.022683044895529747,
0.016905464231967926,
-0.0683649554848671,
0.015958014875650406,
-0.04588625952601433,
-0.05220258608460426,
-0.012753407470881939,
-0.05257413536310196,
-0.0280147697776556,
-0.009548800997436047,
0.00655783386901021,
-0.0025125977117568254,
-0.026714349165558815,
0.017239857465028763,
0.02045375294983387,
0.004077746532857418,
0.015038431622087955,
-0.05145949125289917,
0.022683044895529747,
0.0030954647809267044,
0.028479205444455147,
0.01403525099158287,
-0.056846946477890015,
-0.01846596784889698,
0.016961196437478065,
-0.016032325103878975,
-0.004412140231579542,
0.054803427308797836,
-0.021717019379138947,
0.05368878319859505,
0.024615099653601646,
0.04384274035692215,
-0.033718042075634,
-0.0013991129817441106,
-0.08894874900579453,
-0.005090216640383005,
0.006817917805165052,
0.057924434542655945,
0.02030513435602188,
-0.0012191440910100937,
0.008745326660573483,
0.007082646246999502,
-0.013022780418395996,
-0.02043517678976059,
-0.01354294829070568,
-0.009976081550121307,
-0.015530734322965145,
-0.038380976766347885,
0.024670831859111786,
0.01557717751711607,
-0.016050901263952255,
-0.029816780239343643,
-0.020769570022821426,
0.07520145177841187,
0.0375821478664875,
-0.014583284966647625,
0.0504191517829895,
-0.04759538173675537,
-0.001727701281197369,
0.05071639269590378,
0.05528644099831581,
0.0062187956646084785,
-0.031247243285179138,
-0.012381859123706818,
-0.06476093083620071,
-0.017360610887408257,
-0.005294568371027708,
0.01662680320441723,
-0.021066809073090553,
0.004084713291376829,
-0.020602373406291008,
-0.028757866472005844,
-0.01222395058721304,
-0.015540022403001785,
-0.0063767037354409695,
0.049936141818761826,
-0.0003924482734873891,
-0.06494670361280441,
-0.04978752136230469,
-0.015029143542051315,
-0.029482387006282806,
-0.07668764144182205,
0.010199010372161865,
0.01162947341799736,
0.014964122325181961,
-0.018112996593117714,
0.012363282032310963,
0.012874160893261433,
0.01261407695710659,
-0.022868819534778595,
-0.015512156300246716,
-0.00040870351949706674,
-0.004098646342754364,
-0.010867798700928688,
0.007347374688833952,
0.03122866526246071,
-0.0037270975299179554,
0.02636137790977955,
0.03421963006258011,
0.006599633023142815,
0.024652253836393356,
-0.0215312447398901,
-0.019803544506430626,
-0.0018937371205538511,
0.022701622918248177,
-0.04748391732573509,
0.0272345170378685,
-0.02429928258061409,
0.04198499768972397,
0.04644358158111572,
-0.012502612546086311,
-0.042393703013658524,
-0.01852170005440712,
-0.0012028887867927551,
-0.00012771984620485455,
-0.018438102677464485,
-0.005573229864239693,
-0.007677124347537756,
0.050084758549928665,
0.0020934445783495903,
0.03308640792965889,
-0.039532776921987534,
0.03561294078826904,
-0.019041869789361954,
0.0003793860087171197,
-0.07869400829076767,
0.004946241620928049,
-0.0023825557436794043,
0.006673942785710096,
-0.018475256860256195,
0.06360913068056107,
-0.016793999820947647,
-0.02134547010064125,
-0.01410027127712965,
-0.015307804569602013,
-0.020806724205613136,
-0.004474839195609093,
-0.019116178154945374,
-0.05907623842358589,
0.017982956022024155,
0.051087941974401474,
-0.008787126280367374,
-0.019952163100242615,
0.0008969416958279908,
-0.04982467368245125,
0.007430972997099161,
0.005471053998917341,
0.060711052268743515,
0.0017462787218391895,
-0.0623830184340477,
-0.03609595075249672,
-0.04347119480371475,
-0.007653902284801006,
0.02342614345252514,
-0.051087941974401474,
0.0140073848888278,
0.0024289994034916162,
-0.04387989640235901,
0.051236558705568314,
-0.030392680317163467,
-0.02725309506058693,
0.007263776380568743,
0.0052992128767073154,
-0.022664468735456467,
0.02036086656153202,
0.0448087677359581,
-0.006153774913400412,
-0.021995680406689644,
-0.02441074699163437,
0.021586976945400238,
-0.022534426301717758,
0.005471053998917341,
0.04187353327870369,
0.009502356871962547,
-0.01161089539527893,
-0.02528388611972332,
-0.010551981627941132,
-0.03994148224592209,
0.06126837432384491,
0.01110001653432846,
-0.027977613732218742,
0.02244153991341591,
0.06658151745796204,
0.049007266759872437,
-0.04674082249403,
-0.029891090467572212,
-0.009465201757848263,
0.029631005600094795,
0.02220003306865692,
0.043211109936237335,
-0.031767409294843674,
-0.014239602722227573,
-0.01933910697698593,
-0.014490397647023201,
-0.0184473916888237,
0.006190929561853409,
0.04146483168005943,
0.00531314592808485,
0.01025474350899458,
-0.0030466991011053324,
-0.018020110204815865,
-0.02639853209257126,
0.00774678960442543,
-0.011034995317459106,
-0.04492023214697838,
0.002203748095780611,
-0.012121775187551975,
0.01812228560447693,
-0.002203748095780611,
0.0012365604052320123,
0.00010965039837174118,
0.008341267704963684,
-0.034405406564474106,
-0.0013340918812900782,
0.04202215373516083,
0.04785546660423279,
0.027420291677117348,
-0.026974432170391083,
0.0523512065410614,
-0.02240438386797905,
-0.0038478507194668055,
-0.044362910091876984,
-0.02431786060333252,
0.0625687912106514,
-0.013793744146823883,
0.005559296812862158,
-0.04592341557145119,
0.05261129140853882,
0.00027271092403680086,
0.002233936218544841,
-0.003901260904967785,
-0.02340756542980671,
-0.0077189235016703606,
0.006065532099455595,
-0.06516963243484497,
-0.049267351627349854,
-0.019097601994872093,
-0.016338853165507317,
-0.03525996953248978,
0.01702621765434742,
-0.07289784401655197,
0.0003198801714461297,
-0.0008650117088109255,
-0.050084758549928665,
0.07668764144182205,
-0.006892227567732334,
-0.03018832951784134,
0.03808373957872391,
-0.016580358147621155,
-0.03007686324417591,
-0.015224206261336803,
-0.023556185886263847,
-0.007909341715276241,
0.05350300669670105,
0.0111557487398386,
0.006144485902041197,
-0.0016603580443188548,
0.01255834475159645,
0.011768803931772709,
-0.08367276191711426,
-0.007147667463868856,
0.0025683301500976086,
-0.03674616292119026,
0.05168242007493973,
-0.03797227144241333,
0.02441074699163437,
0.02630564570426941,
0.0058844019658863544,
0.022980283945798874,
0.007960430346429348,
-0.021828483790159225,
0.014351067133247852,
-0.059782180935144424,
0.013264287263154984,
0.05625246837735176,
0.017834335565567017,
-0.07330655306577682,
0.007407751400023699,
0.013022780418395996,
0.03769361227750778,
-0.01076562236994505,
-0.05127371475100517,
-0.012001021765172482,
-0.03100573644042015,
-0.07624178379774094,
-0.01412813737988472,
-0.034702643752098083,
-0.02141978032886982,
0.013998095877468586,
0.027531756088137627,
-0.03778649866580963,
0.01404453907161951,
0.05339154228568077,
-0.0004673385410569608,
-0.013505794107913971,
0.008791769854724407,
-0.014323201030492783,
-0.0073380861431360245,
0.017676427960395813,
0.009957504458725452,
0.00819264817982912,
-0.029723891988396645,
-0.028795020654797554,
0.03005828708410263,
0.08523326367139816,
0.0486728735268116,
-0.0017718226881697774,
0.05476627126336098,
0.026621460914611816,
0.0739753395318985,
-0.0016313308151438832,
0.02329610101878643,
0.0391983836889267,
0.034628335386514664,
-0.020918190479278564,
-0.0017265401547774673,
0.043173953890800476,
-0.04380558803677559,
0.049267351627349854,
-0.020806724205613136,
-0.05231405049562454,
0.07631609588861465,
-0.027401713654398918,
-0.06401783227920532,
0.04540324583649635,
-0.0321575365960598,
-0.03503703698515892,
0.017945799976587296,
-0.057887282222509384,
0.04607203230261803,
0.04005294665694237,
0.005800803657621145,
-0.006776118651032448,
-0.02348187565803528,
0.01861458830535412,
-0.003613310633227229,
-0.003710842225700617,
0.012484035454690456,
0.015447136014699936,
0.06097113713622093,
-0.032473351806402206,
0.004481805954128504,
0.011313656345009804,
0.013097090646624565,
-0.02611987106502056,
0.001406079507432878,
0.018168728798627853,
-0.031693100929260254,
-0.028423473238945007,
0.013022780418395996,
-0.016236675903201103,
-0.00809511635452509,
-0.03473979979753494,
-0.013477928005158901,
-0.07579592615365982,
-0.014202447608113289,
-0.0012922927271574736,
-0.024633675813674927,
0.013468638993799686,
0.003123330883681774,
0.03676474094390869,
-0.00448412774130702,
0.044325754046440125,
-0.051905348896980286,
-0.017202703282237053,
-0.02026798017323017,
-0.03492557257413864,
0.03581729158759117,
0.0018832873320207,
0.028776444494724274,
-0.01160160731524229,
-0.044065672904253006,
-0.028906485065817833,
0.020750992000102997,
0.03202749416232109,
0.01509416475892067,
0.02324036881327629,
0.02730882726609707,
0.010756333358585835,
-0.05160810798406601,
-0.05807305499911308,
0.012706964276731014,
0.005262057762593031,
-0.00976244080811739,
0.034609757363796234,
-0.02225576527416706,
-0.025859786197543144,
0.02429928258061409,
-0.05654970556497574,
0.008592062629759312,
-0.006325616035610437,
-0.03421963006258011,
-0.03804658353328705,
-0.005025195423513651,
0.03778649866580963,
0.012456168420612812,
0.025915518403053284,
0.015177763067185879,
0.013189977034926414,
0.01266980916261673,
0.004988040775060654,
-0.009855328127741814,
-0.02346329763531685,
0.006715741939842701,
-0.007221977226436138,
0.022181455045938492,
-0.01613450050354004,
0.06119406595826149,
-0.0019506304524838924,
0.0021166661754250526,
0.015614332631230354,
-0.006924738176167011,
-0.015437847003340721,
0.013765878044068813,
0.001976174535229802,
0.01208462007343769,
0.03392239287495613,
-0.014666883274912834,
0.04116759076714516,
-0.025636857375502586,
0.0010629774769768119,
-0.009455913677811623,
0.012028887867927551,
0.009567378088831902,
0.022701622918248177,
0.015790818259119987,
-0.007872187532484531,
0.011824536137282848,
-0.004521282855421305,
0.00726842088624835,
0.02520957589149475,
0.009994658641517162,
0.011016418226063251,
-0.011898845434188843,
-0.01403525099158287,
-0.012363282032310963,
0.06134268268942833,
-0.012539767660200596,
0.020788148045539856,
0.001512899762019515,
-0.05420894920825958,
0.008633862249553204,
0.017211992293596268,
-0.0583331398665905,
-0.019153334200382233,
-0.021679865196347237,
0.02613844908773899,
0.019116178154945374,
-0.04755822941660881,
0.013598681427538395,
-0.022887397557497025,
-0.02413208596408367,
0.02028655633330345,
-0.008610640652477741,
-0.020119359716773033,
-0.007663191296160221,
0.027011588215827942,
0.05744142457842827,
0.025766899809241295,
0.0737895667552948,
0.023277522996068,
-0.028869330883026123,
0.07698488235473633,
0.011425121687352657,
0.015289227478206158,
-0.042170774191617966,
0.031674522906541824,
0.032696280628442764,
-0.015279938466846943,
0.01956203766167164,
0.04387989640235901,
-0.028739288449287415,
-0.02032371237874031,
0.023110326379537582,
-0.006985114887356758,
-0.0525369793176651,
-0.003278916934505105,
-0.0032231847289949656,
-0.023723382502794266,
-0.010895664803683758,
-0.003638854715973139,
0.0009114553104154766,
-0.01804797537624836,
-0.03369946405291557,
-0.03802800551056862,
0.03342080116271973,
0.012010310776531696,
0.020082205533981323,
0.012372570112347603,
-0.04495738819241524,
0.008573485538363457,
0.040350183844566345,
-0.04079604148864746,
0.02507953532040119,
-0.01935768499970436,
-0.014676172286272049,
0.012948471121490002,
0.009353737346827984,
0.029463808983564377,
-0.0030675986781716347,
0.01687759719789028,
-0.0007233588257804513,
-0.007876832038164139,
0.014843368902802467,
0.023537607863545418,
0.037359219044446945,
-0.013422195799648762,
0.052053965628147125,
0.0212525837123394,
0.023277522996068,
-0.04005294665694237,
-0.04087035357952118,
-0.012075331062078476,
0.010821354575455189,
-0.04020156338810921,
-0.010319763794541359,
-0.02535819634795189,
-0.026584306731820107,
-0.02348187565803528,
-0.002193298190832138,
0.01208462007343769,
0.02143835835158825,
-0.0031047535594552755,
0.05669832602143288,
-0.0739753395318985,
-0.015790818259119987,
0.023704804480075836,
0.0386410616338253,
-0.03278917074203491,
0.005735782440751791,
-0.002289668656885624,
-0.004042913671582937,
-0.008963611908257008,
0.027940459549427032,
-0.03093142621219158,
0.04677797481417656,
0.017035506665706635,
-0.004725634586066008,
0.011991732753813267,
-0.008522397838532925,
0.04302533343434334,
0.004992685280740261,
0.017509231343865395,
0.05610384792089462,
-0.014248890802264214,
0.02220003306865692,
-0.02249727211892605,
-0.022813087329268456,
0.009298005141317844,
0.022107144817709923,
-0.018038688227534294,
0.03852959722280502,
0.002779648406431079,
0.03132155165076256,
0.014276756905019283,
-0.016784710809588432,
0.007551726419478655,
0.0360216423869133,
-0.021159695461392403,
0.01462044008076191,
0.010412651114165783,
0.007779300212860107,
0.024615099653601646,
0.02712305262684822,
0.034386828541755676,
0.0018972203833982348,
-0.030541300773620605,
-0.00880570337176323,
-0.022181455045938492,
0.027364559471607208,
0.02128973789513111,
-0.004644358064979315,
-0.010644868947565556,
-0.03784223273396492,
0.010747045278549194,
0.004695446230471134,
0.046183500438928604,
-0.013264287263154984,
0.03994148224592209,
-0.003543645376339555,
-0.012651232071220875,
-0.009051854722201824,
0.017342032864689827,
-0.005229547619819641,
-0.03325360640883446,
0.009511645883321762,
0.03206465020775795,
0.028386317193508148,
-0.012502612546086311,
-0.01839165948331356,
0.02738313563168049,
-0.0034623690880835056,
-0.022794511169195175,
0.004293709062039852,
0.022850243374705315,
-0.015010565519332886,
0.04863572120666504,
-0.018419524654746056,
-0.055769454687833786,
-0.013821610249578953,
-0.014248890802264214,
-0.013626547530293465,
0.02730882726609707,
0.007881475612521172,
0.00421939929947257,
-0.019116178154945374,
0.012651232071220875,
0.02630564570426941,
-0.04544040188193321,
0.015595754608511925,
0.05350300669670105,
-0.018642453476786613,
-0.0546548068523407,
0.00376889668405056,
-0.053800247609615326,
0.035408586263656616,
-0.007723568007349968,
-0.0029956111684441566,
-0.059670716524124146,
0.0368947833776474,
-0.017750738188624382,
0.038380976766347885,
-0.008880012668669224,
0.053986020386219025,
0.08820565044879913,
-0.03394097089767456,
0.018781784921884537,
-0.03399670124053955,
0.034702643752098083,
-0.01711910404264927,
-0.014202447608113289,
-0.03379235044121742,
0.03394097089767456,
0.005118082743138075,
0.026454264298081398,
-0.027754684910178185,
0.004978752229362726,
-0.00555000826716423,
-0.02127116173505783,
-0.021549822762608528,
-0.006725030951201916,
0.047038059681653976,
-0.019134756177663803,
0.008763903751969337,
-0.0007767688948661089,
0.02922230213880539,
-0.0004467292164918035,
-0.006070176139473915,
-0.0029305899515748024,
0.04283956065773964,
0.01404453907161951,
0.016394585371017456,
-0.02533961832523346,
0.014824791811406612,
0.010719179175794125,
-0.013821610249578953,
-0.056921254843473434,
0.019952163100242615,
0.007835032418370247,
-0.008122982457280159,
-0.023017439991235733,
-0.02922230213880539,
-0.04945312812924385,
0.03130297362804413,
0.01814086362719536,
-0.025971250608563423,
0.024577943608164787,
-0.009873905219137669,
0.06011657416820526,
0.0059354896657168865,
0.016329564154148102,
0.0425051674246788,
-0.007941852323710918,
0.006571766920387745,
-0.007598170079290867,
0.011332234367728233,
-0.03685762733221054,
0.054283257573843,
-0.03971855342388153,
0.020992498844861984,
-0.01711910404264927,
0.016654668375849724,
-0.020843880251049995,
0.003460046835243702,
0.017964377999305725,
-0.007231265772134066,
-0.02236722968518734,
0.03698766976594925,
0.05524928495287895,
-0.0448087677359581,
-0.008870724588632584,
-0.0020470009185373783,
-0.010700601153075695,
-0.01026403158903122,
-0.003420569933950901,
-0.037359219044446945,
0.0014583284500986338,
-0.004235654603689909,
-0.000798249093350023,
0.022868819534778595,
0.001871676417067647,
0.021865637972950935,
-0.0150198545306921,
-0.04335973039269447,
0.032510507851839066,
0.0003137844614684582,
-0.00047256346442736685,
0.03566867113113403,
-0.00916796363890171,
-0.05376309156417847,
-0.04766969382762909,
0.010598425753414631,
0.022107144817709923,
-0.0063116829842329025,
0.0011541229905560613,
0.003569189226254821,
0.02730882726609707,
-0.01892111636698246,
0.010505538433790207,
0.006065532099455595,
-0.03860390558838844,
0.024150662124156952,
-0.0033532266970723867,
-0.010849220678210258,
0.041501984000205994,
0.0075331493280828,
0.007848965004086494,
0.03182314336299896,
0.007379885297268629,
-0.006390636786818504,
-0.022627312690019608,
-0.009567378088831902,
-0.018772495910525322,
-0.06360913068056107,
-0.016106635332107544,
-0.01935768499970436,
0.06100828945636749,
0.00703155854716897,
-0.018967559561133385,
0.025804053992033005,
0.015428557991981506,
0.03005828708410263,
0.003922160714864731,
0.005145948845893145,
-0.04064742475748062,
-0.0052063255570828915,
-0.06022803857922554,
-0.02333325520157814,
0.018772495910525322,
-0.0022827021311968565,
-0.04153914004564285,
0.017964377999305725,
0.1004667580127716,
-0.014193158596754074,
0.015428557991981506,
-0.033550843596458435,
-0.0319717638194561,
-0.06093398109078407,
0.02322179079055786,
-0.033643729984760284,
0.028033345937728882,
-0.06230871006846428,
0.015995169058442116,
0.01417458150535822,
-0.06156561151146889,
0.013970229774713516,
0.018159441649913788,
-0.004135800991207361,
0.027606066316366196,
-0.01806655339896679,
-0.05175672844052315,
-0.024615099653601646,
-0.010672735050320625,
0.03622599318623543,
-0.05157095566391945,
0.014796925708651543,
0.0006536934524774551,
0.02039802074432373,
-0.0014281402109190822,
0.0013538304483518004,
-0.028646402060985565,
0.00851310882717371,
0.05350300669670105,
-0.007691057398915291,
0.00243132165633142,
0.014183870516717434,
-0.009892483241856098,
-0.026658616960048676,
0.0012458490673452616,
0.025655435398221016,
0.0018194273579865694,
0.04335973039269447,
-0.0030675986781716347,
-0.047929778695106506,
-0.03483268618583679,
-0.03143301606178284,
0.043099645525217056,
0.019840698689222336,
-0.007570303976535797,
0.039421312510967255,
0.0060748206451535225,
-0.01636671833693981,
-0.002888790797442198,
-0.03927269205451012,
-0.016050901263952255,
0.014267468824982643,
0.0020597728434950113,
-0.029649583622813225,
0.03609595075249672,
-0.04280240461230278,
0.018930403515696526,
0.025060957297682762,
-0.03767503425478935,
0.03230615705251694,
-0.032417621463537216,
0.013942363671958447,
-0.002860924694687128
] |
The current state of the art systems in Artificial Intelligence (AI) enabled
intrusion detection use a variety of black box methods. These black box methods
are generally trained using Error Based Learning (EBL) techniques with a focus
on creating accurate models. These models have high performative costs and are
not easily explainable. A white box Competitive Learning (CL) based eXplainable
Intrusion Detection System (X-IDS) offers a potential solution to these
problem. CL models utilize an entirely different learning paradigm than EBL
approaches. This different learning process makes the CL family of algorithms
innately explainable and less resource intensive. In this paper, we create an
X-IDS architecture that is based on DARPA's recommendation for explainable
systems. In our architecture we leverage CL algorithms like, Self Organizing
Maps (SOM), Growing Self Organizing Maps (GSOM), and Growing Hierarchical Self
Organizing Map (GHSOM). The resulting models can be data-mined to create
statistical and visual explanations. Our architecture is tested using NSL-KDD
and CIC-IDS-2017 benchmark datasets, and produces accuracies that are 1% - 3%
less than EBL models. However, CL models are much more explainable than EBL
models. Additionally, we use a pruning process that is able to significantly
reduce the size of these CL based models. By pruning our models, we are able to
increase prediction speeds. Lastly, we analyze the statistical and visual
explanations generated by our architecture, and we give a strategy that users
could use to help navigate the set of explanations. These explanations will
help users build trust with an Intrusion Detection System (IDS), and allow
users to discover ways to increase the IDS's potency. | [
-0.0180976465344429,
0.00784969236701727,
-0.02713724412024021,
-0.03200756013393402,
0.04807590693235397,
-0.00446445494890213,
0.02237761951982975,
0.007549909874796867,
-0.039220791310071945,
0.03239497169852257,
0.0019024666398763657,
-0.03693321719765663,
0.026583800092339516,
-0.058296188712120056,
-0.0034428879152983427,
0.05523379519581795,
0.012747678905725479,
-0.042762838304042816,
-0.018189886584877968,
-0.07002922147512436,
0.0328008309006691,
-0.008642963133752346,
-0.0037334465887397528,
0.011899063363671303,
0.026454662904143333,
0.01803307794034481,
0.02759844809770584,
0.006184746045619249,
-0.07829399406909943,
0.09866076707839966,
0.05006830766797066,
0.010358642786741257,
0.01942591369152069,
0.00869369599968195,
-0.04829728603363037,
-0.03233962506055832,
-0.026214836165308952,
0.0402538888156414,
0.00997123122215271,
0.060952723026275635,
0.026473110541701317,
-0.03977423533797264,
0.01570860855281353,
0.0027464700397104025,
-0.0004456383758224547,
-0.006134013645350933,
-0.08714911341667175,
-0.07858916372060776,
-0.04667384549975395,
0.006853491999208927,
-0.023927263915538788,
-0.0643840804696083,
0.0016384272603318095,
-0.04283662885427475,
-0.020735733211040497,
0.012646214105188847,
0.026454662904143333,
0.02486812137067318,
0.05785343423485756,
-0.03547581285238266,
0.04567764699459076,
0.03392616659402847,
-0.014740080572664738,
0.0024167089723050594,
0.01848505809903145,
-0.01902005448937416,
0.02289416827261448,
-0.04545626789331436,
-0.0017940836260095239,
-0.02127072960138321,
-0.035162195563316345,
0.02143676206469536,
0.0024420754052698612,
-0.0027211038395762444,
0.030679291114211082,
0.016446534544229507,
0.03503305837512016,
0.01645576022565365,
-0.00408857362344861,
-0.018678762018680573,
0.024388467893004417,
-0.01141941174864769,
0.02300485596060753,
-0.014610943384468555,
0.04161905124783516,
-0.0058203949593007565,
-0.013845345005393028,
-0.07637538760900497,
0.04294731840491295,
-0.06257615983486176,
0.004688139073550701,
0.010266401804983616,
0.003701162291690707,
0.014186635613441467,
0.017470408231019974,
-0.011650013737380505,
-0.010939759202301502,
-0.020145392045378685,
-0.027118796482682228,
-0.010109592229127884,
-0.014361892826855183,
-0.026270180940628052,
-0.05316760018467903,
0.05091692507266998,
0.01182527095079422,
-0.01385456882417202,
-0.040364574640989304,
0.030347224324941635,
-0.03628753125667572,
0.16072037816047668,
-0.01830979995429516,
0.02933257631957531,
-0.05010520666837692,
-0.01983177289366722,
0.018798675388097763,
-0.0010924770031124353,
-0.020625043660402298,
-0.0643840804696083,
-0.004402192309498787,
-0.013310347683727741,
-0.010672261007130146,
0.07807261496782303,
0.0056635853834450245,
0.019757980480790138,
-0.05006830766797066,
0.08832979202270508,
0.037062354385852814,
0.02619638852775097,
0.010967431589961052,
0.026343973353505135,
-0.020772628486156464,
0.03599236160516739,
0.027967412024736404,
0.011068896390497684,
0.024425365030765533,
0.05431138724088669,
0.07224299758672714,
0.0031592475716024637,
0.04372214153409004,
0.010229505598545074,
0.006332331337034702,
-0.02202710323035717,
-0.044496964663267136,
0.024148643016815186,
0.02603035420179367,
0.022746581584215164,
0.03182307630777359,
0.0695495679974556,
-0.05497552081942558,
-0.001977412262931466,
-0.027580000460147858,
0.06320340186357498,
0.013808448798954487,
-0.020680388435721397,
0.01663101650774479,
-0.009712956845760345,
0.011087344959378242,
0.0059449197724461555,
0.015856193378567696,
0.00878593698143959,
0.0323580726981163,
-0.02805965207517147,
0.022967960685491562,
0.07025059312582016,
0.02527398057281971,
0.005875739268958569,
-0.05936618149280548,
0.036379773169755936,
-0.05796412006020546,
0.0614323765039444,
0.00566819729283452,
-0.02307864837348461,
-0.019555050879716873,
0.04313179850578308,
0.0102848494425416,
0.005280786193907261,
0.02706345170736313,
-0.021953310817480087,
-0.03647201508283615,
-0.024536054581403732,
-0.026528455317020416,
-0.010312521830201149,
0.010275625623762608,
-0.01774713024497032,
0.010948983021080494,
-0.0005179897416383028,
0.08013880997896194,
-0.005640525370836258,
0.0342213399708271,
-0.016474207863211632,
0.019093846902251244,
0.008679859340190887,
0.009284037165343761,
-0.015727058053016663,
0.005211605224758387,
-0.03529133275151253,
-0.018300576135516167,
0.026878969743847847,
-0.012470956891775131,
-0.030808428302407265,
-0.015192060731351376,
-0.040438368916511536,
0.04899831488728523,
0.009196408092975616,
0.030125847086310387,
0.005903411656618118,
-0.006502976641058922,
-0.022230034694075584,
-0.019960910081863403,
-0.04143457114696503,
-0.03412909805774689,
0.02116004005074501,
-0.025181740522384644,
0.00817714724689722,
0.0031384932808578014,
-0.0052254414185881615,
0.012517076916992664,
-0.022174689918756485,
-0.03412909805774689,
-0.0491458997130394,
0.04803901165723801,
0.049699343740940094,
-0.0058019463904201984,
-0.03925768658518791,
-0.0030301103834062815,
-0.016446534544229507,
0.008366241119801998,
0.022709686309099197,
0.0032307342626154423,
-0.02330002747476101,
-0.04575143754482269,
-0.007559133693575859,
0.011603892780840397,
-0.027506208047270775,
0.0016142140375450253,
-0.02713724412024021,
0.01663101650774479,
-0.02272813394665718,
0.024074850603938103,
-0.04578833654522896,
-0.04051215946674347,
-0.027875171974301338,
-0.055676549673080444,
-0.01755342446267605,
0.05777963995933533,
-0.042172495275735855,
0.037892524152994156,
0.057004816830158234,
0.02034832164645195,
0.024019505828619003,
0.007356204092502594,
0.03119583986699581,
0.012009752914309502,
-0.004741177428513765,
-0.03874113783240318,
0.000012926323506690096,
0.051691748201847076,
-0.03977423533797264,
0.052835531532764435,
-0.03796631470322609,
0.031343426555395126,
-0.004261525347828865,
-0.012747678905725479,
0.07726089656352997,
-0.05929239094257355,
0.014804649166762829,
0.08471395820379257,
0.0487031452357769,
0.01570860855281353,
0.021492106840014458,
0.03130652755498886,
-0.032026007771492004,
-0.08847738057374954,
-0.0573737807571888,
0.017285926267504692,
-0.030181191861629486,
0.044423170387744904,
-0.0018528872169554234,
-0.04966244846582413,
0.04707970842719078,
-0.013411813415586948,
-0.020551251247525215,
0.042172495275735855,
0.022285377606749535,
0.010533900000154972,
-0.03966354578733444,
-0.08559946715831757,
-0.005967980250716209,
-0.04656315967440605,
-0.01878022775053978,
-0.059107907116413116,
0.035051506012678146,
-0.04737487807869911,
-0.026067251339554787,
0.03896251693367958,
0.01133639458566904,
0.02794896438717842,
0.00045140343718230724,
0.013374916277825832,
-0.021897966042160988,
-0.05563965439796448,
0.010294074192643166,
0.0029724598862230778,
0.034811679273843765,
-0.0012002834118902683,
0.006166297942399979,
0.00671051861718297,
0.10744208842515945,
-0.05154415965080261,
-0.0205696988850832,
-0.03687787428498268,
-0.024425365030765533,
0.01025717705488205,
-0.001751422300003469,
-0.011013551615178585,
0.013845345005393028,
0.02962774597108364,
0.005774274468421936,
0.035328228026628494,
0.000048714675358496606,
0.05825929343700409,
-0.0245729498565197,
-0.10972966253757477,
0.07659676671028137,
-0.020385216921567917,
-0.02023763209581375,
0.03401840850710869,
0.020901765674352646,
-0.06729888916015625,
0.008472317829728127,
-0.049588657915592194,
0.02213779278099537,
-0.01344870962202549,
0.0009079954470507801,
-0.009556147269904613,
-0.005119364708662033,
-0.017774803563952446,
0.02521863579750061,
-0.022174689918756485,
-0.010137264616787434,
0.008329344913363457,
-0.014998354949057102,
-0.10205522924661636,
-0.030919117853045464,
-0.056672751903533936,
-0.02302330546081066,
-0.01252630166709423,
-0.007591417990624905,
0.004397580400109291,
-0.04416489601135254,
0.001203742460347712,
-0.030531706288456917,
0.024240883067250252,
-0.023170890286564827,
-0.021196937188506126,
0.01710144430398941,
-0.02459139935672283,
0.022230034694075584,
0.04800211638212204,
0.03221048787236214,
0.028483960777521133,
0.014324996620416641,
-0.015367317944765091,
0.03132497891783714,
-0.04981003329157829,
-0.007609866559505463,
0.00310159707441926,
0.037597350776195526,
-0.03988492488861084,
0.048371076583862305,
0.007789736147969961,
0.06696682423353195,
-0.017986956983804703,
0.014214308001101017,
0.0013801530003547668,
0.0056543610990047455,
0.016916964203119278,
-0.01481387298554182,
-0.02556915022432804,
0.04778073728084564,
0.006184746045619249,
0.008527662605047226,
-0.03136187419295311,
0.05397931858897209,
-0.027211036533117294,
0.04862935096025467,
0.021713485941290855,
0.020901765674352646,
0.03392616659402847,
0.03554960712790489,
0.024277780205011368,
-0.011650013737380505,
-0.052724841982126236,
-0.05032658204436302,
0.03739442303776741,
-0.011354843154549599,
-0.010912086814641953,
-0.0024005668237805367,
0.03095601312816143,
-0.03577098250389099,
-0.02069883607327938,
0.017239807173609734,
-0.022396067157387733,
-0.004063207656145096,
-0.04195111617445946,
-0.006848879624158144,
0.02383502386510372,
-0.00904421042650938,
0.0185404010117054,
0.011234929785132408,
0.017728682607412338,
0.02505260333418846,
-0.007014913018792868,
0.012470956891775131,
0.00988821405917406,
-0.008131027221679688,
-0.04944106936454773,
0.04287352412939072,
0.030218087136745453,
-0.020606596022844315,
-0.021824173629283905,
-0.0005087656900286674,
0.022156240418553352,
-0.01634507067501545,
-0.016252830624580383,
0.04158215597271919,
0.01751652918756008,
-0.018355920910835266,
0.014444909989833832,
0.005266950000077486,
0.02497880905866623,
0.010201833210885525,
0.002698043594136834,
-0.030605498701334,
-0.04434937983751297,
-0.0405859537422657,
-0.05523379519581795,
0.028613097965717316,
0.0065306490287184715,
0.01034941803663969,
0.00404245313256979,
0.004773461725562811,
0.017525753006339073,
-0.014509478583931923,
-0.05427448824048042,
-0.019112294539809227,
0.03709925338625908,
-0.012360267341136932,
-0.002525092102587223,
-0.0011610811343416572,
-0.07235368341207504,
-0.007273187395185232,
-0.04254145920276642,
-0.010884415358304977,
0.06866405159235,
0.014417237602174282,
-0.02938792109489441,
-0.027727585285902023,
0.02984912507236004,
-0.006844267714768648,
0.022506756708025932,
0.08072914928197861,
-0.023779679089784622,
0.024720534682273865,
0.005709705874323845,
0.08832979202270508,
-0.0347747839987278,
-0.049883827567100525,
-0.0034728662576526403,
-0.025587599724531174,
0.057004816830158234,
-0.02180572599172592,
0.022765031084418297,
-0.002286419039592147,
-0.02789361961185932,
0.025126395747065544,
0.028041204437613487,
-0.034885473549366,
-0.025642944499850273,
-0.025550702586770058,
0.01652032881975174,
-0.001445874571800232,
-0.030697740614414215,
-0.009694508276879787,
0.004017087165266275,
0.02684207446873188,
0.03106670267879963,
0.013605518266558647,
-0.006941120605915785,
-0.041766636073589325,
-0.005529836285859346,
-0.015920761972665787,
-0.0161236934363842,
-0.030107399448752403,
-0.024683639407157898,
-0.03398151323199272,
-0.019444361329078674,
-0.0173873919993639,
0.056672751903533936,
0.049588657915592194,
-0.03409220278263092,
-0.03152790665626526,
-0.008444645442068577,
-0.011899063363671303,
0.00020840656361542642,
0.012415612116456032,
0.023226235061883926,
0.02544001303613186,
0.05368414893746376,
0.01907539926469326,
-0.011640789918601513,
-0.06379374116659164,
0.04088112339377403,
-0.0246282946318388,
-0.004713505040854216,
0.01773790642619133,
-0.024941913783550262,
-0.006180133670568466,
0.04885073006153107,
0.005040959920734167,
0.02064349129796028,
-0.03682252764701843,
-0.021602796390652657,
0.00863835122436285,
-0.022525204345583916,
0.01953660324215889,
0.05855446308851242,
0.009284037165343761,
-0.030236534774303436,
-0.007291635498404503,
0.0053130704909563065,
0.02300485596060753,
0.002325621200725436,
-0.02713724412024021,
0.0020546638406813145,
0.0205696988850832,
0.05158105865120888,
0.010017351247370243,
-0.013836120255291462,
-0.01594843529164791,
-0.030679291114211082,
-0.020145392045378685,
0.024074850603938103,
-0.00904882326722145,
-0.01692618802189827,
0.01657567173242569,
0.02186107076704502,
0.015727058053016663,
0.0021768829319626093,
-0.000004112102487852098,
0.028889819979667664,
0.0006606747629120946,
0.0036412058398127556,
-0.03263479843735695,
0.012304923497140408,
-0.008822833187878132,
0.0025043378118425608,
0.001806766726076603,
0.013494829647243023,
0.008181759156286716,
-0.038409069180488586,
0.017073772847652435,
-0.012120441533625126,
-0.0285208560526371,
-0.002824874594807625,
-0.03328048065304756,
0.022598996758461,
0.051691748201847076,
-0.0060141002759337425,
0.017119893804192543,
-0.03767114505171776,
-0.01785781979560852,
-0.07910571247339249,
-0.011308722198009491,
-0.013199659064412117,
0.02887137234210968,
0.01964729093015194,
-0.058001019060611725,
0.017876267433166504,
0.008015725761651993,
-0.03752356022596359,
-0.005677421577274799,
-0.02202710323035717,
0.02416709065437317,
-0.021123144775629044,
-0.014417237602174282,
-0.01855885051190853,
0.013033625669777393,
-0.004157754126936197,
-0.007042585406452417,
-0.003689632285386324,
0.017488855868577957,
0.015865419059991837,
-0.022119345143437386,
0.03501461073756218,
0.023060200735926628,
0.003064700635150075,
-0.01948125846683979,
0.005423759110271931,
-0.012821472249925137,
0.018872467800974846,
0.0160683486610651,
0.0692175030708313,
0.05032658204436302,
0.04560385271906853,
0.01734127104282379,
-0.010672261007130146,
-0.021529003977775574,
0.035051506012678146,
-0.010939759202301502,
-0.014306548982858658,
-0.007780511863529682,
0.022469859570264816,
-0.03761579841375351,
0.016548000276088715,
-0.012304923497140408,
0.04412800073623657,
0.009394725784659386,
0.010367866605520248,
-0.009233304299414158,
0.04516109824180603,
-0.021123144775629044,
0.04169284179806709,
0.002728021703660488,
0.021695036441087723,
0.03374168649315834,
0.000441026350017637,
-0.015570247545838356,
-0.00443678256124258,
-0.008767488412559032,
-0.030679291114211082,
0.009962006472051144,
-0.026104148477315903,
-0.022340722382068634,
-0.02841016836464405,
0.013956033624708652,
-0.020274529233574867,
0.05409000813961029,
-0.0345534048974514,
0.007978829555213451,
0.016132917255163193,
0.015228956937789917,
-0.017903940752148628,
0.054237592965364456,
-0.01757187396287918,
0.019333671778440475,
-0.0445338599383831,
-0.021824173629283905,
0.04117629677057266,
0.030476361513137817,
0.04335317760705948,
0.004291503224521875,
-0.0032953026238828897,
0.043500762432813644,
-0.0043676020577549934,
-0.025882769376039505,
0.022100897505879402,
-0.015062923543155193,
0.019315224140882492,
-0.00047359889140352607,
0.002338304417207837,
-0.020495906472206116,
0.019278328865766525,
0.013227331452071667,
0.00042949625640176237,
-0.0028364048339426517,
0.035678744316101074,
-0.038704242557287216,
-0.016215933486819267,
0.0729440301656723,
-0.0402538888156414,
-0.011437859386205673,
-0.058406878262758255,
0.04829728603363037,
0.018734106793999672,
0.0012498629512265325,
0.03529133275151253,
0.04416489601135254,
0.015920761972665787,
-0.048887625336647034,
-0.028096549212932587,
0.017027651891112328,
-0.012065096758306026,
0.02405640110373497,
-0.046341780573129654,
-0.007637538481503725,
0.009242529049515724,
0.013577846810221672,
-0.037412870675325394,
-0.004111633636057377,
0.0016488044057041407,
0.016160588711500168,
0.014398789964616299,
0.0014527926687151194,
-0.0448659285902977,
-0.018734106793999672,
-0.029664643108844757,
0.003140799468383193,
0.015616368502378464,
0.06851647049188614,
-0.010118816047906876,
0.03623218834400177,
-0.03270858898758888,
0.0410287082195282,
0.0068165953271090984,
-0.010616916231811047,
0.015911538153886795,
-0.010672261007130146,
-0.04885073006153107,
-0.03326203301548958,
-0.0072639635764062405,
0.061210997402668,
0.0485924556851387,
0.01913074217736721,
0.069770947098732,
0.016040675342082977,
0.058222394436597824,
-0.02492346614599228,
-0.010266401804983616,
0.0071717225946486,
0.05368414893746376,
0.01390991359949112,
-0.007240903098136187,
-0.07917950302362442,
-0.03427668288350105,
0.04516109824180603,
-0.05855446308851242,
-0.0028594648465514183,
-0.019333671778440475,
-0.0025043378118425608,
0.056082408875226974,
-0.024480709806084633,
-0.040438368916511536,
0.020532803609967232,
0.009500802494585514,
-0.01635429449379444,
0.08737049251794815,
0.02232227474451065,
0.01791316457092762,
-0.011843719519674778,
0.009463906288146973,
-0.003675796091556549,
0.03333582729101181,
-0.02219313755631447,
0.0076144784688949585,
0.004457537084817886,
-0.010948983021080494,
-0.005552896298468113,
-0.02949860878288746,
0.031269632279872894,
0.05538138002157211,
0.005211605224758387,
0.03128807991743088,
-0.033833928406238556,
-0.027838274836540222,
0.015496455132961273,
0.040844228118658066,
-0.016022227704524994,
0.0017548813484609127,
0.006701294332742691,
-0.03628753125667572,
0.04006940498948097,
-0.019407466053962708,
0.01373465545475483,
0.08080294728279114,
-0.00001735820660542231,
0.017728682607412338,
0.0013340326258912683,
0.04737487807869911,
0.0026957374066114426,
0.02202710323035717,
0.01699075661599636,
0.05814860388636589,
-0.056488268077373505,
-0.039626650512218475,
-0.023668989539146423,
0.04726418852806091,
-0.004722729325294495,
-0.00323304021731019,
0.0007165957358665764,
-0.022119345143437386,
0.030882220715284348,
0.012415612116456032,
0.013670086860656738,
-0.02997826226055622,
0.00040470651583746076,
0.006258538458496332,
-0.041877325624227524,
-0.012738455086946487,
0.05943997576832771,
-0.05073244124650955,
-0.009574595838785172,
0.06490062922239304,
-0.02080952562391758,
0.018069973215460777,
0.03495926409959793,
-0.03014429472386837,
0.0005485445144586265,
0.01902005448937416,
-0.004524411633610725,
0.05519689619541168,
0.006152461748570204,
-0.013522502034902573,
-0.00017251912504434586,
-0.005202381405979395,
-0.040770433843135834,
-0.023281579837203026,
-0.01582852192223072,
0.0014793118461966515,
0.011078120209276676,
0.055049311369657516,
0.022931063547730446,
-0.009431621991097927,
0.024720534682273865,
0.05674654245376587,
-0.0059541440568864346,
-0.013743880204856396,
-0.003650429891422391,
-0.029756883159279823,
-0.020846420899033546,
-0.012710782699286938,
-0.04840797558426857,
-0.020071599632501602,
0.006027936469763517,
-0.06250236928462982,
-0.027875171974301338,
0.0038418294861912727,
0.013162762857973576,
0.01767333783209324,
-0.02614104375243187,
0.008209431543946266,
0.037136148661375046,
0.016326623037457466,
0.021178489550948143,
-0.047854527831077576,
0.05512310564517975,
-0.02962774597108364,
0.013568622060120106,
0.029609298333525658,
-0.024886569008231163,
0.000021114496121299453,
0.01751652918756008,
0.013070521876215935,
-0.03558650240302086,
0.02968309074640274,
-0.013660863041877747,
-0.039036307483911514,
-0.020200736820697784,
0.011594668962061405,
0.015265853144228458,
0.001031367457471788,
-0.0009806350572034717,
-0.008961194194853306,
0.038003209978342056,
-0.050400376319885254,
0.026048803701996803,
0.028908267617225647,
0.03453495725989342,
-0.01658489741384983,
-0.020735733211040497,
0.02643621526658535,
0.025237083435058594,
-0.01953660324215889,
0.011926735751330853,
0.033354274928569794,
0.020680388435721397,
0.01034941803663969,
0.020366769284009933,
0.003947906661778688,
-0.05290932580828667,
-0.02713724412024021,
-0.01071838103234768,
-0.048961419612169266,
0.018761780112981796,
0.003023192286491394,
-0.016381965950131416,
-0.011677686125040054,
0.025015706196427345,
0.019610395655035973,
-0.025495357811450958,
-0.021307626739144325,
-0.003087760880589485,
0.00933476909995079,
0.00267959525808692,
0.04029078409075737,
0.04468144476413727,
-0.012618541717529297,
-0.04283662885427475,
0.004524411633610725,
0.00141704932320863,
-0.017249030992388725,
-0.011659237556159496,
-0.05084313079714775,
0.01668636128306389,
0.034055303782224655,
0.010303298011422157,
-0.055270690470933914,
0.04630488529801369,
0.02510794624686241,
-0.027284830808639526,
0.002502031857147813,
-0.03462719917297363,
-0.0173873919993639,
0.005783498287200928,
0.011115017347037792,
0.015404214151203632,
0.02735862322151661,
-0.010035799816250801,
0.005202381405979395,
-0.012101993896067142,
-0.015311973169445992,
-0.03578943386673927,
0.0024536054115742445,
-0.00883666891604662,
0.02538467012345791,
-0.025550702586770058,
-0.03914699703454971,
-0.006369227543473244,
-0.0015404213918372989,
0.01589309051632881,
0.05711550638079643,
0.06486373394727707,
-0.0035351288970559835,
0.02876068279147148,
0.022875718772411346,
0.010008127428591251,
-0.030771533027291298,
0.023152442649006844,
-0.014767752960324287,
-0.005603628698736429,
-0.013061298057436943,
0.02505260333418846,
0.016658689826726913,
0.028078101575374603,
0.013153539039194584,
-0.00941778626292944,
-0.004957943223416805,
0.01093053538352251,
-0.04051215946674347,
-0.031103599816560745,
-0.01830979995429516,
0.022765031084418297,
0.028244134038686752,
-0.0011259142775088549,
0.006166297942399979,
-0.018217558041214943,
0.06859026104211807,
0.033833928406238556,
-0.0005811170558445156,
0.0014885360142216086,
-0.025403117761015892,
0.000495217798743397,
-0.029461713507771492,
0.0069503444246947765,
-0.043795932084321976,
-0.03292996808886528,
-0.02232227474451065,
-0.0205696988850832,
0.015782400965690613,
0.027155693620443344,
0.032671693712472916,
0.020219184458255768,
-0.01385456882417202,
0.013208882883191109,
0.035568054765462875,
-0.005617464892566204,
-0.011161137372255325,
-0.021658141165971756,
-0.035807881504297256,
0.011659237556159496,
0.0074668931774795055,
-0.0032653245143592358,
0.006115565542131662,
0.017931612208485603,
0.015920761972665787,
-0.004662772640585899,
0.017986956983804703,
-0.0007425384828820825,
0.009952782653272152,
-0.00021734239999204874,
0.030937565490603447,
-0.004240770824253559,
-0.023502957075834274,
0.00031765428138896823,
-0.026104148477315903,
-0.012129665352404118,
0.0651589035987854,
0.010294074192643166,
-0.043906621634960175,
0.05368414893746376,
-0.01545033510774374,
-0.018531177192926407,
0.009648388251662254,
-0.016778603196144104,
-0.019352121278643608,
-0.006332331337034702,
-0.01565326377749443,
0.007139438297599554,
-0.008624515496194363,
0.0040839617140591145,
0.006410736124962568,
-0.0035604950971901417,
0.020735733211040497,
0.07792503386735916,
-0.05541827529668808,
-0.0025827425997704268,
0.013439484871923923,
-0.03274548426270485,
-0.03726528584957123,
0.011234929785132408,
-0.015468782745301723,
-0.009519251063466072,
0.005409923382103443,
0.023982608690857887,
-0.0002601479063741863,
0.04051215946674347,
-0.026823626831173897,
0.022857271134853363,
-0.03390771895647049,
-0.014140515588223934,
0.05925549194216728,
-0.02591966651380062,
-0.025532254949212074,
0.012996729463338852
] |
With the rapid development of mobile networks, the people's social contacts
have been considerably facilitated. However, the rise of mobile social network
fraud upon those networks, has caused a great deal of distress, in case of
depleting personal and social wealth, then potentially doing significant
economic harm. To detect fraudulent users, call detail record (CDR) data, which
portrays the social behavior of users in mobile networks, has been widely
utilized. But the imbalance problem in the aforementioned data, which could
severely hinder the effectiveness of fraud detectors based on graph neural
networks(GNN), has hardly been addressed in previous work. In this paper, we
are going to present a novel Cost-Sensitive Graph Neural Network (CSGNN) by
creatively combining cost-sensitive learning and graph neural networks. We
conduct extensive experiments on two open-source realworld mobile network fraud
datasets. The results show that CSGNN can effectively solve the graph imbalance
problem and then achieve better detection performance than the state-of-the-art
algorithms. We believe that our research can be applied to solve the graph
imbalance problems in other fields. The CSGNN code and datasets are publicly
available at https://github.com/xxhu94/CSGNN. | [
-0.015323717147111893,
0.013189469464123249,
-0.015430876053869724,
-0.007443075999617577,
0.04604259133338928,
-0.019538631662726402,
-0.023503510281443596,
0.010144372470676899,
-0.028218500316143036,
0.028004182502627373,
-0.03364788368344307,
-0.04661410301923752,
-0.013564526103436947,
-0.05540113151073456,
-0.004308679141104221,
0.0029669608920812607,
0.0021286660339683294,
-0.051757730543613434,
0.060223281383514404,
-0.02559310756623745,
-0.007831526920199394,
-0.034719470888376236,
0.04043461009860039,
-0.01276976428925991,
-0.002690133871510625,
0.015627333894371986,
0.024414360523223877,
0.0025405578780919313,
-0.03929158300161362,
0.051436252892017365,
0.023467790335416794,
0.00729126762598753,
0.025396650657057762,
-0.04261350631713867,
-0.01386814285069704,
0.0038644163869321346,
0.05272215977311134,
0.07694005966186523,
-0.04239919036626816,
0.004406908061355352,
0.015279067680239677,
0.021503211930394173,
-0.02018158510327339,
0.04990030825138092,
0.037469882518053055,
-0.06961753964424133,
-0.05040038377046585,
-0.053579431027173996,
-0.03212979808449745,
-0.013546666130423546,
0.04529247805476189,
-0.0033732715528458357,
-0.021074576303362846,
-0.023521369323134422,
-0.008251232095062733,
0.044292330741882324,
0.1055871993303299,
-0.023235613480210304,
0.039398740977048874,
-0.0013372532557696104,
-0.033076368272304535,
0.03502308949828148,
0.0013930652057752013,
-0.006085730157792568,
0.02530735172331333,
-0.0019176971400156617,
-0.027254071086645126,
0.018984979018568993,
0.0320940800011158,
0.0030473300721496344,
-0.061687782406806946,
0.037612758576869965,
0.03997025638818741,
0.01149278786033392,
-0.02562882751226425,
0.013064451515674591,
0.031022490933537483,
0.031790461391210556,
0.01483257208019495,
-0.04725705832242966,
0.006175029557198286,
0.02018158510327339,
-0.022360483184456825,
0.017065048217773438,
0.07994051277637482,
-0.019252875819802284,
0.011207031086087227,
-0.0699390172958374,
0.023699967190623283,
0.013251978904008865,
-0.0029535661451518536,
0.002538325497880578,
-0.035630322992801666,
-0.03636257350444794,
0.028504256159067154,
-0.00042975167161785066,
0.014984380453824997,
-0.027164770290255547,
-0.04418516904115677,
0.05250784009695053,
0.02746838703751564,
0.01932431384921074,
0.0032058358192443848,
0.01742224395275116,
0.020538780838251114,
-0.007273407652974129,
-0.07058197259902954,
0.04536391794681549,
0.0038465566467493773,
0.1495937705039978,
0.005549936089664698,
0.014484305866062641,
-0.029218649491667747,
0.06158062443137169,
-0.009197802282869816,
0.010215811431407928,
-0.012626885436475277,
-0.016145268455147743,
0.042684946209192276,
0.023914285004138947,
-0.022181883454322815,
0.02395000495016575,
-0.044935282319784164,
0.011698175221681595,
-0.04075608775019646,
0.06386668235063553,
-0.045435357838869095,
0.01785981096327305,
-0.030504556372761726,
0.005737463943660259,
-0.029468687251210213,
0.0066795689053833485,
0.028807872906327248,
-0.04936451464891434,
0.05254356190562248,
0.007103739306330681,
0.04825720563530922,
0.045578233897686005,
-0.011010573245584965,
-0.0032571828924119473,
0.022914135828614235,
-0.0018183519132435322,
0.0007690880447626114,
0.020199446007609367,
-0.006447391584515572,
0.017038259655237198,
-0.002408841857686639,
0.04725705832242966,
-0.013725263997912407,
0.01941361278295517,
-0.015573753975331783,
0.004346631467342377,
0.057294271886348724,
0.009086178615689278,
-0.004630155861377716,
0.014868292026221752,
0.04454236477613449,
-0.04236346855759621,
-0.020520921796560287,
-0.051757730543613434,
0.0362018346786499,
-0.005795508157461882,
0.013243049383163452,
-0.027343370020389557,
-0.04915019869804382,
0.04197055473923683,
0.03979165852069855,
-0.01167138572782278,
-0.052079204469919205,
0.05165057256817818,
0.0013696241658180952,
0.02861141599714756,
0.0005000747041776776,
0.02723621018230915,
0.009385330602526665,
0.07686862349510193,
0.01224290020763874,
-0.0317547433078289,
-0.003143326612189412,
0.011269540525972843,
-0.013457367196679115,
0.009251381270587444,
0.011841054074466228,
-0.02064594067633152,
-0.05157913267612457,
0.053400833159685135,
0.03689836710691452,
-0.012859063223004341,
0.0495431125164032,
-0.0035362422931939363,
0.02980802394449711,
-0.008206582628190517,
0.03936302289366722,
-0.10351546108722687,
0.012689394876360893,
-0.04404229298233986,
0.0072242929600179195,
0.001112889382056892,
-0.0091531528159976,
-0.030558135360479355,
-0.06858167052268982,
-0.009947914630174637,
0.05222208425402641,
-0.057972945272922516,
0.02128889411687851,
-0.014421796426177025,
0.03979165852069855,
-0.01850276254117489,
-0.03721984475851059,
-0.01821700669825077,
-0.041684795171022415,
-0.02059236168861389,
0.0022101514041423798,
0.0081262132152915,
0.0007194154895842075,
0.01932431384921074,
0.05929457023739815,
0.010930203832685947,
0.013019801117479801,
0.002732550958171487,
0.01311803050339222,
0.01725257746875286,
0.059080250561237335,
-0.02202114649116993,
-0.033630020916461945,
-0.025700267404317856,
-0.0007383915362879634,
0.03979165852069855,
-0.048364367336034775,
-0.01894925907254219,
-0.02169966883957386,
-0.0345587320625782,
-0.0001552966277813539,
0.0016375213162973523,
0.05018606781959534,
-0.048507243394851685,
0.005121300462633371,
0.0002617578429635614,
-0.06190210208296776,
-0.023414211347699165,
-0.014207478612661362,
0.0051704151555895805,
-0.0074118212796747684,
-0.027897022664546967,
0.05140053480863571,
0.02646823786199093,
-0.05343655124306679,
0.02298557572066784,
0.017065048217773438,
0.04082752764225006,
-0.051614850759506226,
-0.06065191701054573,
-0.013618105091154575,
-0.010519428178668022,
0.001276976428925991,
-0.027432668954133987,
0.017547262832522392,
-0.024985874071717262,
0.029415106400847435,
-0.07686862349510193,
0.04075608775019646,
-0.017359735444188118,
-0.09308533370494843,
0.06868883222341537,
-0.003504987806081772,
0.017993759363889694,
0.03205835819244385,
0.006996580399572849,
0.006273258477449417,
0.005139160435646772,
0.008121748454868793,
-0.03162972256541252,
-0.021003136411309242,
-0.04018457233905792,
-0.008496805094182491,
-0.022824836894869804,
0.028772154822945595,
-0.03886294737458229,
-0.007920825853943825,
0.03327282518148422,
0.016627483069896698,
-0.012233969755470753,
0.029540125280618668,
0.016618553549051285,
-0.012260759249329567,
-0.056508440524339676,
-0.05050754174590111,
-0.04211343079805374,
-0.0487930029630661,
-0.021985426545143127,
-0.03539814427495003,
-0.039755936712026596,
-0.005371337756514549,
0.018609922379255295,
0.02709333226084709,
0.016815010458230972,
-0.011260610073804855,
-0.012457218021154404,
0.002638787031173706,
-0.02311059460043907,
-0.03287991136312485,
-0.002245871117338538,
0.03191548213362694,
0.03104034997522831,
-0.027182631194591522,
-0.007260012906044722,
0.04514959827065468,
0.05833014100790024,
-0.03979165852069855,
-0.03162972256541252,
0.01259116642177105,
-0.028593555092811584,
-0.041541919112205505,
-0.00199136883020401,
-0.05815154314041138,
0.005165949929505587,
0.013600245118141174,
-0.007059089839458466,
0.04289926216006279,
-0.031986918300390244,
-0.006157169584184885,
0.03943445906043053,
-0.08251231908798218,
0.026575397700071335,
-0.01430570799857378,
0.04079180583357811,
-0.012939432635903358,
0.027039753273129463,
-0.051436252892017365,
0.00656794523820281,
-0.028825733810663223,
0.032612014561891556,
-0.0053177583031356335,
-0.0134127177298069,
-0.060366157442331314,
-0.0031924410723149776,
0.006474181078374386,
0.03789851814508438,
-0.05157913267612457,
0.011090941727161407,
0.003960412926971912,
-0.02211044542491436,
-0.08186937123537064,
0.0019087671535089612,
-0.01909213699400425,
0.020681660622358322,
-0.02128889411687851,
-0.005648165009915829,
0.02284269779920578,
0.022878415882587433,
0.0009030366200022399,
0.01927073486149311,
-0.0034558733459562063,
0.03693408891558647,
0.06758151948451996,
-0.009287101216614246,
-0.004556484054774046,
-0.024735836312174797,
-0.030843891203403473,
-0.016591763123869896,
0.019163576886057854,
-0.0012334431521594524,
-0.016913240775465965,
0.001885326229967177,
-0.04279210418462753,
-0.02041376382112503,
-0.015350506640970707,
0.029307948425412178,
-0.008483409881591797,
-0.0023441000375896692,
-0.045113880187273026,
0.020574500784277916,
-0.03196905925869942,
-0.02728978917002678,
-0.014064600691199303,
0.020306603983044624,
0.02796846255660057,
0.03552316129207611,
-0.03318352624773979,
0.037612758576869965,
-0.024325061589479446,
0.009510348550975323,
0.0446852445602417,
-0.008278021588921547,
0.01631493680179119,
0.0487930029630661,
0.025664547458291054,
0.027575546875596046,
-0.007009975612163544,
0.07276086509227753,
-0.013903861865401268,
-0.05086473748087883,
-0.02161036990582943,
-0.04061320796608925,
0.007742227520793676,
-0.002466886304318905,
0.005916062276810408,
0.023271333426237106,
0.015252278186380863,
-0.02439650148153305,
-0.019788669422268867,
0.009831825271248817,
-0.016038108617067337,
0.03341570496559143,
0.004223844967782497,
0.003987202420830727,
0.01423426903784275,
-0.07772589474916458,
0.014895081520080566,
-0.029218649491667747,
0.014350357465445995,
-0.01547552552074194,
-0.013475227169692516,
0.023789267987012863,
0.025700267404317856,
0.05072186142206192,
-0.06297369301319122,
-0.015323717147111893,
0.06372380256652832,
-0.004089896567165852,
-0.006809052545577288,
-0.017440104857087135,
0.10187235474586487,
0.015457665547728539,
-0.013216259889304638,
0.02975444309413433,
-0.052079204469919205,
-0.023289192467927933,
-0.021020997315645218,
-0.01483257208019495,
0.0021967566572129726,
0.018279515206813812,
0.017413314431905746,
0.009965773671865463,
-0.04957883432507515,
0.009858614765107632,
0.02311059460043907,
-0.0011553064687177539,
-0.04579255357384682,
-0.01996726728975773,
-0.008501269854605198,
-0.01819021627306938,
-0.034808769822120667,
0.023914285004138947,
-0.04518532007932663,
-0.019520772621035576,
-0.00502307154238224,
-0.041863396763801575,
-0.008318206295371056,
-0.07222507148981094,
-0.06818875670433044,
0.027075471356511116,
-0.05157913267612457,
-0.053400833159685135,
-0.011644596233963966,
-0.03739844262599945,
-0.017681211233139038,
-0.04307786375284195,
0.06886743009090424,
-0.008867396041750908,
-0.027486247941851616,
0.07543984055519104,
-0.02087811753153801,
-0.018091987818479538,
0.006375952158123255,
0.032433416694402695,
-0.05429382249712944,
-0.05229352414608002,
-0.005232924595475197,
-0.00692514143884182,
0.010787324979901314,
-0.02834351919591427,
0.005027536768466234,
-0.025432368740439415,
-0.04404229298233986,
-0.03452301397919655,
0.0008014589548110962,
-0.07822597026824951,
-0.016145268455147743,
0.022360483184456825,
0.011108801700174809,
0.05525825172662735,
-0.020681660622358322,
-0.006728683598339558,
-0.005402592476457357,
-0.03950589895248413,
0.041684795171022415,
-0.02348564937710762,
-0.041041843593120575,
-0.051114775240421295,
-0.010331899859011173,
0.034451574087142944,
-0.020074427127838135,
-0.028825733810663223,
-0.028825733810663223,
-0.03346928581595421,
0.00040407819324173033,
-0.01247507706284523,
0.04915019869804382,
-0.022503361105918884,
0.020610220730304718,
-0.045578233897686005,
0.03396935760974884,
-0.011930353008210659,
-0.011635666713118553,
-0.06486683338880539,
0.01891353912651539,
0.05400806665420532,
-0.004639085847884417,
0.02005656622350216,
0.024110743775963783,
0.00951927900314331,
-0.041720516979694366,
-0.00995684415102005,
-0.05682991445064545,
-0.019306454807519913,
-0.011073082685470581,
-0.014046740718185902,
0.030522415414452553,
0.056008365005254745,
0.033540721982717514,
-0.006474181078374386,
-0.009349610656499863,
0.029057910665869713,
-0.031093928962945938,
0.029557986184954643,
0.021538931876420975,
-0.001773702446371317,
0.0012367918388918042,
-0.02530735172331333,
-0.0025271631311625242,
0.06197354197502136,
-0.016306007280945778,
-0.017940178513526917,
0.011296330019831657,
0.009983633644878864,
-0.013457367196679115,
0.0017937946831807494,
-0.029379388317465782,
-0.015413016080856323,
-0.04847152531147003,
0.022949855774641037,
-0.0431135818362236,
0.030647434294223785,
0.008773631416261196,
0.02009228616952896,
0.021717529743909836,
-0.048221487551927567,
-0.019842248409986496,
0.027807723730802536,
-0.014868292026221752,
0.024182183668017387,
0.0317547433078289,
-0.03457659110426903,
0.00206504063680768,
-0.01792231947183609,
-0.03255843371152878,
-0.01061765756458044,
-0.03196905925869942,
-0.021592510864138603,
-0.02311059460043907,
0.04361365735530853,
0.020753098651766777,
-0.03468375280499458,
0.0049694920890033245,
-0.009581788443028927,
0.0043399338610470295,
0.06272365152835846,
-0.02000298723578453,
-0.020306603983044624,
-0.013064451515674591,
-0.05543684959411621,
-0.04825720563530922,
-0.05150769278407097,
0.003813069546595216,
0.023789267987012863,
0.00934068113565445,
-0.00897455494850874,
0.03580892086029053,
-0.00032036035554483533,
-0.018984979018568993,
0.010421198792755604,
0.04043461009860039,
0.017940178513526917,
-0.02439650148153305,
-0.0071617839857935905,
0.004558716434985399,
-0.03475518897175789,
0.022039005532860756,
-0.01734187640249729,
0.0035228475462645292,
0.05197204649448395,
-0.01668999344110489,
-0.007389496546238661,
0.001858536503277719,
-0.036326855421066284,
0.0010029400000348687,
0.0011820961954072118,
0.06208069995045662,
-0.05025750398635864,
-0.02055664174258709,
0.01713648810982704,
0.01757405325770378,
0.03645187243819237,
-0.02143177203834057,
-0.038898665457963943,
0.006362557411193848,
0.02770056575536728,
0.005987501237541437,
-0.0019087671535089612,
-0.0041144536808133125,
0.027039753273129463,
0.039898816496133804,
-0.06386668235063553,
0.004643550608307123,
0.012251829728484154,
0.056508440524339676,
0.00014399472274817526,
-0.0065322257578372955,
-0.0398273766040802,
0.03800567612051964,
-0.013216259889304638,
0.06011611968278885,
0.02764698676764965,
-0.03196905925869942,
-0.006581339985132217,
-0.0030317027121782303,
-0.01329662837088108,
0.008005660027265549,
-0.026700416579842567,
-0.05286503955721855,
0.005741929169744253,
-0.03657688945531845,
-0.010376549325883389,
-0.04993603006005287,
-0.017225787043571472,
-0.032504852861166,
0.03155828267335892,
-0.023235613480210304,
-0.00825569685548544,
0.0034715007059276104,
0.04990030825138092,
-0.032987069338560104,
0.05704423412680626,
-0.010001493617892265,
0.0051346952095627785,
-0.028236359357833862,
0.006500971037894487,
-0.0014645043993368745,
0.009068318642675877,
0.004009527154266834,
0.04979315027594566,
-0.01748475432395935,
-0.0026566467713564634,
-0.00846108514815569,
-0.02111029624938965,
0.014912941493093967,
-0.003364341799169779,
-0.028629275038838387,
0.014805782586336136,
-0.008211047388613224,
-0.013537735678255558,
0.006291117984801531,
0.0016185452695935965,
0.011849983595311642,
-0.02073523961007595,
0.009215662255883217,
0.013171610422432423,
-0.005197204649448395,
0.02907577157020569,
-0.01996726728975773,
-0.0076752533204853535,
-0.04193483293056488,
0.004368956200778484,
0.01941361278295517,
-0.025789566338062286,
-0.01751154474914074,
-0.016261357814073563,
0.00391799584031105,
-0.053579431027173996,
-0.012698325328528881,
-0.03516596555709839,
-0.026700416579842567,
-0.02041376382112503,
-0.07043909281492233,
-0.006398276891559362,
-0.013966371305286884,
0.011242750100791454,
0.024878716096282005,
0.0018909074133262038,
-0.008577173575758934,
-0.059258848428726196,
0.04107756167650223,
0.05840158089995384,
0.03575534000992775,
-0.04604259133338928,
0.01430570799857378,
0.007268942892551422,
0.010081863030791283,
0.011367768980562687,
-0.027504106983542442,
-0.01909213699400425,
-0.001005172380246222,
0.024325061589479446,
-0.045756831765174866,
0.0504361055791378,
0.00027626892551779747,
0.007103739306330681,
-0.044613804668188095,
-0.053400833159685135,
-0.004045247100293636,
0.02384284697473049,
-0.03145112469792366,
0.05968748405575752,
-0.0015180838527157903,
0.008215513080358505,
0.008666472509503365,
0.020895978435873985,
0.000602768617682159,
0.02773628570139408,
-0.0024021444842219353,
-0.0031321642454713583,
0.00014427378482650965,
-0.039755936712026596,
-0.024592958390712738,
-0.02773628570139408,
0.028182780370116234,
0.01512725930660963,
-0.01959221251308918,
0.00034352228976786137,
0.02920079044997692,
0.013528806157410145,
-0.005228459369391203,
0.00023441000666934997,
-0.018824240192770958,
0.012260759249329567,
0.009081713855266571,
0.02128889411687851,
0.031522564589977264,
-0.021306753158569336,
0.008813816122710705,
-0.021824687719345093,
0.008465549908578396,
-0.032486993819475174,
0.029004331678152084,
-0.0036121464800089598,
0.002251452300697565,
0.06290224939584732,
-0.01771693117916584,
-0.011412418447434902,
-0.004165800753980875,
-0.0074073560535907745,
0.05672275647521019,
-0.036469731479883194,
-0.046721264719963074,
0.005795508157461882,
0.017288295552134514,
0.02796846255660057,
-0.0252180527895689,
0.03195120021700859,
-0.002958031138405204,
0.03388005867600441,
0.021735388785600662,
0.007313592359423637,
0.01903855800628662,
0.032076217234134674,
-0.08322671800851822,
-0.03054027445614338,
0.007260012906044722,
-0.02009228616952896,
-0.011019502766430378,
-0.024610817432403564,
0.026682555675506592,
-0.023039154708385468,
-0.031790461391210556,
-0.0020293209236115217,
0.0447566844522953,
-0.010698026046156883,
0.008612893521785736,
0.0023217753041535616,
-0.02380712702870369,
0.022824836894869804,
0.011153451167047024,
0.05997324362397194,
-0.031111789867281914,
0.011716035194694996,
-0.03555888310074806,
-0.024378640577197075,
-0.06397383660078049,
0.03732700273394585,
-0.013153750449419022,
-0.007134994026273489,
0.025485949590802193,
0.015538034960627556,
0.038434311747550964,
0.025789566338062286,
-0.02111029624938965,
0.05268644168972969,
-0.03314780816435814,
-0.028272079303860664,
0.01652032509446144,
-0.016234567388892174,
-0.0011179124703630805,
-0.011689245700836182,
0.014511095359921455,
0.007193038705736399,
-0.06011611968278885,
0.013805633410811424,
-0.014984380453824997,
-0.00894776452332735,
0.021306753158569336,
0.033755041658878326,
-0.005808903370052576,
0.002971425885334611,
0.0038175343070179224,
-0.007349311839789152,
-0.006206283811479807,
-0.0471499003469944,
0.0025405578780919313,
-0.03255843371152878,
0.03839858993887901,
-0.06386668235063553,
-0.012073231860995293,
-0.016940029338002205,
-0.01373419351875782,
0.01771693117916584,
0.07343953847885132,
-0.008483409881591797,
0.06843879073858261,
-0.01467183418571949,
0.009546068497002125,
0.07565415650606155,
-0.023432070389389992,
0.04275638610124588,
-0.020895978435873985,
-0.003978272899985313,
0.013752053491771221,
0.04432804882526398,
0.025021594017744064,
0.0023954471107572317,
-0.008206582628190517,
0.012510797008872032,
0.0027035288512706757,
-0.03282633051276207,
-0.014189619570970535,
-0.025896724313497543,
-0.03986309468746185,
-0.00891651026904583,
-0.0012100021122023463,
-0.012734044343233109,
-0.042827825993299484,
0.06100911274552345,
0.015448736026883125,
0.017145417630672455,
-0.039577338844537735,
0.040256012231111526,
0.04354221746325493,
-0.030379537492990494,
0.009456769563257694,
-0.006956396158784628,
0.024735836312174797,
0.022449782118201256,
-0.029040051624178886,
-0.011573157273232937,
0.01977081038057804,
0.004069804213941097,
0.006590269971638918,
-0.08594140410423279,
0.003911298234015703,
-0.030290238559246063,
0.00862628873437643,
-0.016332795843482018,
-0.03643401339650154,
0.05343655124306679,
0.011251680552959442,
-0.015966670587658882,
-0.0006094660493545234,
0.011912493035197258,
-0.04650694504380226,
-0.015046889893710613,
0.02389642596244812,
0.017618702724575996,
-0.01634172536432743,
-0.006831377279013395,
0.02646823786199093,
-0.039112985134124756,
0.016788221895694733,
-0.04125615954399109,
-0.04647122696042061,
-0.05325795337557793,
-0.024182183668017387,
0.05007890611886978,
-0.026682555675506592,
-0.004000597633421421,
0.027271930128335953,
-0.003310762345790863,
-0.016493534669280052,
-0.015332646667957306,
-0.032165516167879105,
-0.00036556797567754984,
-0.004268494434654713,
-0.04050604999065399,
-0.01744903437793255,
0.0025628828443586826,
0.03141540661454201,
0.024164322763681412,
0.0019121159566566348,
-0.03839858993887901,
-0.010715886019170284,
-0.03273703157901764,
0.016288146376609802,
-0.028629275038838387,
-0.03145112469792366,
-0.022878415882587433,
0.04357793554663658,
-0.0025160007644444704,
-0.002694598864763975,
-0.00019213248742744327,
0.02128889411687851,
-0.0031500239856541157,
0.02380712702870369,
0.01460039522498846,
-0.047364216297864914,
0.020449481904506683,
-0.035005226731300354,
0.026753995567560196,
0.03514810651540756,
0.020663799718022346,
-0.03725556284189224,
0.03352286294102669,
-0.005116835702210665,
0.003634471446275711,
0.016815010458230972,
0.013376997783780098,
0.017207926139235497,
0.023592809215188026,
-0.023467790335416794,
0.011153451167047024,
-0.04189911484718323,
-0.005933921784162521,
-0.012716184370219707,
-0.004362258594483137,
0.0134127177298069,
0.03364788368344307,
0.018877819180488586,
0.01710076816380024,
0.049328796565532684,
-0.03868434950709343,
-0.02266409993171692,
0.03177260234951973,
-0.06236645579338074,
-0.06250933557748795,
0.011796404607594013,
-0.030022339895367622,
-0.03089747205376625,
-0.009099572896957397,
-0.02105671539902687,
-0.027575546875596046,
-0.02211044542491436,
0.04261350631713867,
0.015296927653253078,
0.02284269779920578,
-0.023646388202905655,
-0.015618404373526573,
-0.03964877873659134,
0.023860706016421318,
0.00051626015920192,
-0.01844918355345726,
-0.019895829260349274,
0.01660962402820587,
0.03584463894367218,
-0.016359586268663406,
0.015189768746495247,
0.016180988401174545,
-0.019949408248066902,
0.017681211233139038,
0.03386219963431358,
-0.023449931293725967,
-0.030058059841394424,
0.018842099234461784,
-0.010296180844306946,
0.022949855774641037,
0.05343655124306679,
0.009546068497002125,
0.02202114649116993,
-0.04579255357384682,
0.05136481299996376,
-0.008804886601865292,
-0.06243789568543434,
0.009706806391477585,
-0.0028664995916187763,
0.00988540519028902,
0.003493825439363718,
-0.04782857000827789,
-0.06450963765382767,
0.024521518498659134,
0.006317907944321632,
-0.025485949590802193,
-0.056008365005254745,
0.045399636030197144,
0.004965027328580618,
-0.011680316179990768,
0.00678672781214118,
0.035094525665044785,
-0.0021398284006863832,
-0.03030809760093689,
0.02562882751226425,
-0.010671236552298069,
-0.04361365735530853,
0.052257806062698364,
-0.015118328854441643,
-0.021628230810165405,
-0.010144372470676899,
-0.030701013281941414,
-0.024432219564914703,
-0.04693558067083359,
-0.05593692511320114,
0.029468687251210213,
-0.00647864630445838,
-0.02389642596244812,
-0.021092435345053673,
-0.011108801700174809,
-0.011939283460378647,
-0.04164907708764076
] |
The metaverse, which is at the stage of innovation and exploration, faces the
dilemma of data collection and the problem of private data leakage in the
process of development. This can seriously hinder the widespread deployment of
the metaverse. Fortunately, federated learning (FL) is a solution to the above
problems. FL is a distributed machine learning paradigm with privacy-preserving
features designed for a large number of edge devices. Federated learning for
metaverse (FL4M) will be a powerful tool. Because FL allows edge devices to
participate in training tasks locally using their own data, computational
power, and model-building capabilities. Applying FL to the metaverse not only
protects the data privacy of participants but also reduces the need for high
computing power and high memory on servers. Until now, there have been many
studies about FL and the metaverse, respectively. In this paper, we review some
of the early advances of FL4M, which will be a research direction with
unlimited development potential. We first introduce the concepts of metaverse
and FL, respectively. Besides, we discuss the convergence of key metaverse
technologies and FL in detail, such as big data, communication technology, the
Internet of Things, edge computing, blockchain, and extended reality. Finally,
we discuss some key challenges and promising directions of FL4M in detail. In
summary, we hope that our up-to-date brief survey can help people better
understand FL4M and build a fair, open, and secure metaverse. | [
-0.06879771500825882,
0.009334339760243893,
-0.02898099087178707,
-0.07030369341373444,
0.023324372246861458,
-0.024150826036930084,
-0.032084785401821136,
0.015500606037676334,
-0.05201151221990585,
0.035096749663352966,
0.0056244791485369205,
0.04080846905708313,
0.007966099306941032,
-0.01432520430535078,
-0.04169001802802086,
0.06049644201993942,
0.02310398407280445,
-0.023801878094673157,
-0.003808575915172696,
-0.03450905159115791,
-0.004139157477766275,
-0.0013429878745228052,
-0.012846769765019417,
-0.03414173796772957,
0.026281241327524185,
0.03500492125749588,
0.0471629798412323,
0.01339773926883936,
-0.057153891772031784,
0.08448197692632675,
0.039853453636169434,
0.0034848814830183983,
-0.05498674511909485,
-0.036970045417547226,
-0.049330126494169235,
0.0199083611369133,
0.03355403617024422,
0.001425633323378861,
0.0020397347398102283,
0.026262875646352768,
-0.03100121207535267,
-0.03307652845978737,
-0.01533531490713358,
0.046722207218408585,
-0.01158872339874506,
-0.016712738201022148,
-0.03693331405520439,
-0.048595502972602844,
-0.04547334089875221,
-0.016657641157507896,
-0.042718496173620224,
-0.04815472662448883,
0.028485117480158806,
0.00227045314386487,
-0.015353680588304996,
-0.024995645508170128,
0.1007172092795372,
-0.042314451187849045,
0.0029407991096377373,
-0.03465597704052925,
0.012479457072913647,
-0.00881551019847393,
-0.006620815489441156,
-0.015188390389084816,
-0.023397834971547127,
-0.005840275902301073,
-0.008737456053495407,
0.03506001830101013,
-0.019137004390358925,
-0.041910406202077866,
-0.038163814693689346,
0.055941760540008545,
0.029642153531312943,
-0.04360004514455795,
-0.04080846905708313,
0.032635755836963654,
0.00482557388022542,
0.025289496406912804,
0.011900939047336578,
0.010670441202819347,
0.02824636548757553,
0.014270107261836529,
0.04650181904435158,
0.016859663650393486,
0.05656619369983673,
0.039045363664627075,
-0.02218570187687874,
-0.07882535457611084,
0.06604286283254623,
0.024756891652941704,
-0.025546614080667496,
0.0597250834107399,
-0.0013774235267192125,
-0.05010148510336876,
0.04047788679599762,
-0.002451813779771328,
-0.017539191991090775,
-0.026134315878152847,
-0.03693331405520439,
0.012350897304713726,
-0.04984436556696892,
0.0388617068529129,
-0.03522530943155289,
0.0045317234471440315,
0.022736670449376106,
-0.06031278520822525,
0.028576945886015892,
0.03445395454764366,
0.04580392315983772,
0.07632762938737869,
-0.010220482014119625,
-0.027089329436421394,
-0.04227771982550621,
0.06394918262958527,
-0.013204899616539478,
0.06332474946975708,
-0.002246348187327385,
-0.024407943710684776,
-0.017878957092761993,
-0.012901866808533669,
0.03138688951730728,
0.01944921910762787,
-0.013939525932073593,
-0.04374697059392929,
-0.051203422248363495,
0.09160784631967545,
-0.02940339967608452,
-0.02745664119720459,
-0.010009277611970901,
-0.0067264181561768055,
0.005114832427352667,
0.050138216465711594,
0.01722697727382183,
-0.029770713299512863,
0.009026715531945229,
0.03127669543027878,
-0.0014439990045502782,
0.030284952372312546,
0.025087473914027214,
0.013967074453830719,
0.02624450996518135,
0.01710760034620762,
-0.04040442407131195,
0.027199523523449898,
0.03667619824409485,
0.024205923080444336,
-0.029954370111227036,
0.043453119695186615,
0.01346201915293932,
0.01526185218244791,
-0.022148970514535904,
0.048999544233083725,
0.026887306943535805,
-0.025014011189341545,
0.07360951602458954,
-0.02705259807407856,
0.09226901084184647,
-0.02130415104329586,
-0.02651999332010746,
-0.03138688951730728,
0.05135034769773483,
0.0038269415963441133,
0.05274613946676254,
0.07081793248653412,
0.040845196694135666,
0.03494982421398163,
0.0514238104224205,
0.014857808127999306,
-0.08984474092721939,
0.057080429047346115,
-0.028283096849918365,
0.010293944738805294,
-0.0018641131464391947,
-0.02606085315346718,
-0.006969762966036797,
-0.01757592335343361,
0.02966051921248436,
-0.03298470005393028,
-0.0577048622071743,
0.0015507492935284972,
-0.02558334544301033,
0.030688995495438576,
0.07048735022544861,
0.06262685358524323,
0.02999110147356987,
0.01641888916492462,
0.016850480809807777,
0.009458308108150959,
0.04040442407131195,
-0.05539079010486603,
0.04734663665294647,
0.01871459372341633,
0.05175439268350601,
-0.011763196438550949,
0.011790744960308075,
-0.033572401851415634,
-0.006813655141741037,
0.004513357765972614,
0.019320661202073097,
-0.022497916594147682,
-0.03989018499851227,
-0.00820944458246231,
-0.0055005112662911415,
0.021616365760564804,
0.019724704325199127,
0.023067252710461617,
0.022406090050935745,
-0.0005871267640031874,
0.018677862361073494,
-0.0482281893491745,
-0.02505074255168438,
-0.00422409875318408,
-0.05274613946676254,
-0.004648804198950529,
-0.008273723535239697,
-0.003567526815459132,
0.012194789946079254,
-0.0199083611369133,
-0.030340049415826797,
0.01998182386159897,
0.03853112831711769,
-0.0376863069832325,
0.020606255158782005,
-0.017061686143279076,
-0.02918301336467266,
-0.024940548464655876,
0.016189318150281906,
0.05539079010486603,
-0.01182747632265091,
-0.0005119424313306808,
-0.002853562356904149,
0.012690662406384945,
0.011974401772022247,
0.000435036257840693,
0.04209406301379204,
-0.055133670568466187,
-0.010440870188176632,
0.018136076629161835,
-0.0388617068529129,
0.0078788623213768,
-0.01884315349161625,
-0.004490400664508343,
-0.01309470646083355,
0.014646603725850582,
0.06747538596391678,
-0.0016930830897763371,
-0.06714480370283127,
0.035959936678409576,
-0.008172713220119476,
0.0022038775496184826,
-0.013553847558796406,
0.005652027670294046,
0.0027640298940241337,
-0.0011622010497376323,
-0.030413510277867317,
0.011414249427616596,
0.012268251739442348,
-0.027695395052433014,
-0.012598834000527859,
-0.0001328639773419127,
0.054472509771585464,
-0.008893564343452454,
0.014582323841750622,
-0.011542809195816517,
0.03706187382340431,
0.016244415193796158,
0.06093721464276314,
0.050799380987882614,
0.04881588742136955,
-0.03586810827255249,
-0.02224079892039299,
-0.032617390155792236,
-0.02371004968881607,
-0.001124321948736906,
-0.0010382329346612096,
-0.02885243110358715,
-0.036768026649951935,
-0.00769979739561677,
-0.006914665922522545,
0.020551158115267754,
0.04697932302951813,
-0.014123182743787766,
0.006496847607195377,
-0.01837483048439026,
-0.04521622136235237,
-0.02016548067331314,
-0.030138026922941208,
-0.028503483161330223,
-0.06787943094968796,
-0.007281979080289602,
-0.05329710617661476,
-0.01937575824558735,
-0.044922370463609695,
0.0027594384737312794,
0.024297751486301422,
-0.006997311487793922,
0.017732031643390656,
0.059027187526226044,
-0.011662186123430729,
0.03197459131479263,
-0.0012901866575703025,
-0.03239700198173523,
0.0001526644336991012,
0.01225906889885664,
0.025638442486524582,
0.040110573172569275,
-0.01970633864402771,
0.055941760540008545,
-0.014839442446827888,
-0.06527151167392731,
0.042645033448934555,
-0.02852184884250164,
-0.007718163076788187,
-0.05208497494459152,
-0.018521754071116447,
0.015252669341862202,
0.03298470005393028,
0.022204067558050156,
-0.044444866478443146,
-0.09425249695777893,
0.04613450542092323,
0.025822099298238754,
-0.08492275327444077,
0.027603566646575928,
-0.020183846354484558,
-0.08264540880918503,
0.029605422168970108,
0.01636379212141037,
-0.04139616712927818,
0.023544758558273315,
-0.03700677677989006,
-0.0023347327951341867,
-0.05168092995882034,
-0.013379373587667942,
0.022295895963907242,
-0.0026859757490456104,
-0.01904517598450184,
0.042057331651449203,
0.007369215600192547,
-0.020385868847370148,
-0.012929415330290794,
-0.009981729090213776,
-0.06167184188961983,
0.02751173824071884,
0.0019169143633916974,
-0.010615344159305096,
-0.007318710442632437,
0.04437140375375748,
0.057337548583745956,
0.009972546249628067,
0.0010060931090265512,
0.013379373587667942,
-0.03259902447462082,
-0.04187367483973503,
0.028944259509444237,
0.0012098370352759957,
0.03179093450307846,
-0.04128597304224968,
-0.01138670090585947,
0.01884315349161625,
-0.0032162838615477085,
-0.02297542430460453,
-0.02552824839949608,
0.04521622136235237,
-0.07188314199447632,
-0.03594157099723816,
-0.030578801408410072,
-0.030688995495438576,
-0.014178279787302017,
0.022534647956490517,
-0.011570357717573643,
0.006005566567182541,
-0.004042738117277622,
-0.027070963755249977,
-0.0011880277888849378,
-0.02244281955063343,
-0.0388617068529129,
-0.02765866369009018,
-0.008025787770748138,
0.05550098419189453,
0.03772303834557533,
0.018062613904476166,
0.05686004087328911,
0.014417032711207867,
0.030964480713009834,
0.0017206314951181412,
0.004435303620994091,
-0.04969744011759758,
0.010927559807896614,
0.04279195889830589,
0.012507005594670773,
-0.01209377869963646,
-0.0038453072775155306,
-0.0032461280934512615,
0.04863223433494568,
-0.009306791238486767,
-0.002784691285341978,
0.0014371118741109967,
-0.0027020457200706005,
-0.0246466975659132,
-0.013076340779662132,
0.03720879927277565,
0.007690614555031061,
0.025822099298238754,
-0.001384310657158494,
-0.017190245911478996,
0.02525276504456997,
0.009022124111652374,
0.01977980136871338,
-0.015482240356504917,
-0.005137789528816938,
-0.03397644683718681,
0.029421765357255936,
-0.03173583745956421,
0.017998334020376205,
-0.012286617420613766,
-0.06541843712329865,
-0.008007422089576721,
-0.07096485793590546,
-0.014481312595307827,
0.00852166023105383,
-0.012047864496707916,
0.09939488023519516,
0.0287973340600729,
-0.02391207218170166,
0.03948614001274109,
0.02659345604479313,
-0.008540025912225246,
-0.033902984112501144,
-0.01189175620675087,
0.05028514191508293,
-0.025932293385267258,
0.0648307353258133,
-0.04180021211504936,
-0.03867805376648903,
-0.009540953673422337,
0.0714423656463623,
-0.005335220601409674,
-0.0024334480985999107,
0.021120494231581688,
0.024811988696455956,
0.007470226846635342,
-0.016868846490979195,
-0.010064374655485153,
-0.054141927510499954,
-0.017649386078119278,
0.00412767892703414,
-0.017539191991090775,
-0.012929415330290794,
-0.030835920944809914,
-0.01616176962852478,
0.02323254384100437,
-0.11702590435743332,
-0.03500492125749588,
0.001783763407729566,
-0.046244699507951736,
0.03693331405520439,
-0.01352629903703928,
-0.007644700352102518,
-0.01295696385204792,
0.025032376870512962,
0.06321455538272858,
0.05719062313437462,
-0.02479362301528454,
0.011570357717573643,
-0.019596144556999207,
-0.06832020729780197,
-0.05281959846615791,
-0.006551944650709629,
-0.03989018499851227,
-0.0062856427393853664,
-0.020606255158782005,
0.03112977184355259,
-0.003950909711420536,
0.009733792394399643,
0.010982656851410866,
0.014012988656759262,
-0.07838457822799683,
-0.013113072142004967,
-0.034435588866472244,
0.03612522780895233,
0.0858042985200882,
0.03180930018424988,
-0.04268176481127739,
-0.04521622136235237,
0.005482145585119724,
0.03032168373465538,
0.006584084592759609,
0.01339773926883936,
-0.04102885350584984,
0.02104703150689602,
-0.05726408585906029,
0.03794342651963234,
-0.039706528186798096,
-0.008999167010188103,
-0.03206641972064972,
-0.03553752601146698,
0.02798924595117569,
0.039853453636169434,
0.024095728993415833,
-0.003707564901560545,
-0.007640108931809664,
-0.009329748339951038,
-0.011506077833473682,
-0.03634561598300934,
0.005326037760823965,
-0.010725537315011024,
-0.04653855040669441,
-0.036308884620666504,
0.002993600443005562,
-0.005211252253502607,
0.05318691208958626,
-0.01246109139174223,
-0.0048668961971998215,
-0.019816532731056213,
0.045987579971551895,
0.016942309215664864,
-0.022277530282735825,
-0.03461924567818642,
0.03346220776438713,
-0.006584084592759609,
0.02510583959519863,
0.03439885750412941,
0.02444467507302761,
-0.023673318326473236,
0.01082654856145382,
0.03761284425854683,
-0.0005825353437103331,
0.009807255119085312,
-0.02571190521121025,
-0.032084785401821136,
0.034307029098272324,
-0.030762458220124245,
-0.002821422414854169,
0.028136171400547028,
0.02424265444278717,
0.004129974637180567,
-0.005886189639568329,
-0.010633709840476513,
-0.03678639233112335,
-0.05076264962553978,
0.028356559574604034,
0.030138026922941208,
-0.008122207596898079,
0.057741593569517136,
0.006933031603693962,
0.024665063247084618,
-0.0628105103969574,
0.010642892681062222,
-0.006905483081936836,
0.037576112896203995,
-0.0046097771264612675,
-0.0024058998096734285,
0.012791672721505165,
-0.012883501127362251,
-0.010982656851410866,
0.05432558432221413,
-0.03052370436489582,
-0.04730990529060364,
0.011111216619610786,
0.02477525733411312,
-0.0159689299762249,
-0.00021464849123731256,
0.0005722047062590718,
-0.022957058623433113,
-0.031166503205895424,
-0.002385238418355584,
0.045583534985780716,
-0.025271130725741386,
0.009485856629908085,
0.014481312595307827,
0.0005986053147353232,
-0.01239681150764227,
-0.012130510061979294,
0.00014778606418985873,
0.034160103648900986,
0.023434564471244812,
0.01295696385204792,
0.018255453556776047,
0.005247983615845442,
0.004086356610059738,
-0.006992720067501068,
-0.019210467115044594,
0.036198690533638,
0.027879051864147186,
0.04161655530333519,
-0.055280596017837524,
-0.009761340916156769,
0.01943085342645645,
-0.026905672624707222,
-0.005968835204839706,
0.007484001107513905,
-0.035629354417324066,
-0.025730270892381668,
0.0026469489093869925,
0.023140715435147285,
0.03425193205475807,
0.011726465076208115,
0.04730990529060364,
-0.04767721891403198,
0.011726465076208115,
0.0036180324386805296,
0.04675893858075142,
0.011671368964016438,
0.032635755836963654,
-0.012047864496707916,
-0.01359057892113924,
0.012690662406384945,
-0.014233375899493694,
-0.04029422998428345,
0.03564772009849548,
-0.015656713396310806,
0.04528968408703804,
-0.008696134202182293,
0.030340049415826797,
-0.017401451244950294,
0.012938598170876503,
-0.022791767492890358,
-0.031074674800038338,
-0.03335201367735863,
-0.026354704052209854,
0.004981681704521179,
-0.0009722314425744116,
0.027823954820632935,
-0.019889995455741882,
0.04367350786924362,
0.004899036139249802,
-0.0007799660670571029,
-0.03274594992399216,
-0.02892589382827282,
-0.0054270485416054726,
0.020532792434096336,
-0.0005509693874046206,
-0.06427976489067078,
-0.009632782079279423,
-0.04723644256591797,
-0.004586820490658283,
0.03893516957759857,
0.012378445826470852,
0.004719971213489771,
-0.013140620663762093,
0.013351825065910816,
0.027566835284233093,
0.07955998182296753,
0.004584524780511856,
-0.007199333515018225,
0.0027755084447562695,
-0.02385697513818741,
0.029293207451701164,
0.03498655557632446,
0.027346448972821236,
-0.005596931092441082,
0.009371071122586727,
0.020349137485027313,
-0.02097356878221035,
-0.04356331378221512,
0.011542809195816517,
-0.018145259469747543,
-0.014242558740079403,
0.03607013076543808,
0.02852184884250164,
0.051460541784763336,
-0.03849439695477486,
-0.0020144819281995296,
-0.014141548424959183,
-0.050468798726797104,
0.021855119615793228,
0.028558580204844475,
0.02104703150689602,
0.0670713409781456,
-0.015316949225962162,
0.04723644256591797,
-0.013113072142004967,
0.024609966203570366,
0.0007948881248012185,
-0.029752347618341446,
0.038237277418375015,
0.04437140375375748,
-0.0014715474098920822,
-0.030891017988324165,
-0.014040537178516388,
-0.006629998330026865,
0.010854097083210945,
-0.03186439722776413,
-0.012176424264907837,
0.006978945806622505,
-0.007038634270429611,
0.010073557496070862,
-0.011028571054339409,
-0.03472943976521492,
0.003985345363616943,
-0.050652455538511276,
0.027879051864147186,
0.009095586836338043,
0.022222433239221573,
0.0053030806593596935,
0.006721826735883951,
0.01315898634493351,
-0.011597906239330769,
0.004577637650072575,
0.03125832974910736,
-0.019265564158558846,
-0.018788056448101997,
0.03327855095267296,
-0.007038634270429611,
-0.0006726417923346162,
-0.0006192666478455067,
0.02077154628932476,
0.004297561477869749,
0.006942214444279671,
0.023067252710461617,
-0.001846895320340991,
-0.019063541665673256,
0.048264920711517334,
0.041506361216306686,
-0.03267248719930649,
-0.01870541088283062,
0.023967169225215912,
0.02069808356463909,
0.0025321636348962784,
-0.01829218491911888,
0.02604248747229576,
0.0029293205589056015,
-0.005652027670294046,
-0.016538264229893684,
0.03381115570664406,
-0.012911049649119377,
-0.0006990424590185285,
-0.052342094480991364,
0.012626382522284985,
0.054472509771585464,
-0.03285614401102066,
-0.01584037020802498,
0.0029591647908091545,
-0.03518857806921005,
0.012479457072913647,
0.0005340385832823813,
0.004446782171726227,
-0.03599666804075241,
-0.002782395575195551,
0.0083839176222682,
0.052195169031620026,
-0.015684261918067932,
-0.03687821701169014,
0.024609966203570366,
-0.013122254982590675,
0.011432615108788013,
0.0418369434773922,
-0.04635489359498024,
0.02244281955063343,
0.015610800124704838,
-0.02444467507302761,
0.021616365760564804,
-0.04113904759287834,
-0.0372638963162899,
0.010642892681062222,
0.03399481251835823,
-0.0010606161085888743,
0.04613450542092323,
0.0320480540394783,
-0.009182823821902275,
0.029219744727015495,
0.0011306351516395807,
0.058402758091688156,
0.04646508768200874,
-0.0010433982824906707,
-0.0031611870508641005,
-0.007787034381181002,
0.003680016379803419,
-0.04877915978431702,
0.010183751583099365,
-0.027162792161107063,
0.046318162232637405,
-0.04374697059392929,
-0.048448577523231506,
0.021340882405638695,
0.015353680588304996,
-0.03294796869158745,
-0.02016548067331314,
-0.010202117264270782,
-0.02899935655295849,
0.012855952605605125,
-0.019541047513484955,
0.014251741580665112,
-0.0492933951318264,
-0.020128749310970306,
0.03450905159115791,
-0.05605195462703705,
0.027621932327747345,
0.05913738161325455,
0.0188982505351305,
0.021671462804079056,
-0.0007374954875558615,
0.009706244803965092,
0.081763856112957,
-0.012332531623542309,
-0.031239965930581093,
0.044114284217357635,
-0.045252952724695206,
-0.03820054605603218,
0.025546614080667496,
-0.02016548067331314,
-0.00476129399612546,
-0.00744726974517107,
-0.057337548583745956,
-0.018549302592873573,
-0.018393196165561676,
-0.03485799953341484,
0.01629951223731041,
-0.025216033682227135,
0.023599855601787567,
0.06872425228357315,
0.007649291772395372,
0.01603320986032486,
-0.007245247717946768,
-0.03722716495394707,
-0.023342737928032875,
0.04969744011759758,
-0.024261020123958588,
-0.05190131813287735,
0.035096749663352966,
-0.008443606086075306,
0.021065397188067436,
0.015013916417956352,
-0.01749327778816223,
-0.0371537022292614,
0.014187462627887726,
-0.018879884853959084,
0.016253598034381866,
0.010945925489068031,
0.02459160052239895,
0.014242558740079403,
-0.057411011308431625,
0.025969024747610092,
-0.032029688358306885,
0.037833232432603836,
0.004320518579334021,
0.017998334020376205,
0.00507810153067112,
0.02839328907430172,
-0.012038681656122208,
0.011836659163236618,
-0.0012626382522284985,
0.03179093450307846,
-0.017061686143279076,
0.006767740938812494,
0.015867918729782104,
0.011873390525579453,
0.011001022532582283,
0.03219497948884964,
0.015803638845682144,
0.01202031597495079,
0.06644690781831741,
0.02016548067331314,
-0.010734720155596733,
-0.023526392877101898,
0.010780634358525276,
0.011551992036402225,
-0.007594195194542408,
-0.026905672624707222,
-0.018788056448101997,
0.023397834971547127,
-0.0001662951981415972,
0.02123068831861019,
-0.012047864496707916,
-0.05212170630693436,
0.016216866672039032,
0.010780634358525276,
-0.0267771128565073,
-0.052268631756305695,
0.037043508142232895,
-0.036106862127780914,
0.020881740376353264,
0.0246466975659132,
-0.002003003377467394,
0.005450005643069744,
-0.0019433150300756097,
0.035115115344524384,
0.044518329203128815,
-0.0016896395245566964,
0.031956225633621216,
0.02993600443005562,
0.008126799017190933,
0.007855905219912529,
0.017888139933347702,
-0.033370379358530045,
-0.042718496173620224,
-0.06538170576095581,
0.013856880366802216,
-0.027199523523449898,
-0.041322704404592514,
0.022020410746335983,
0.028870796784758568,
0.00841605756431818,
0.0419471375644207,
0.009843986481428146,
-0.02297542430460453,
-0.002268157433718443,
0.008567574433982372,
0.0555744469165802,
-0.0047888425178825855,
-0.014912905171513557,
-0.000938369776122272,
-0.017585106194019318,
0.016997406259179115,
0.01238762866705656,
-0.006978945806622505,
-0.03331528231501579,
0.0019031401025131345,
0.0236365869641304,
-0.03298470005393028,
-0.03392134979367256,
-0.05891699343919754,
-0.05292979255318642,
0.0012764123966917396,
0.04007384181022644,
-0.040037110447883606,
-0.013370190747082233,
0.027401544153690338,
0.019137004390358925,
0.04293888062238693,
0.03889843821525574,
-0.010477601550519466,
0.029972735792398453,
-0.02545478567481041,
-0.024463040754199028,
0.0016161769162863493,
-0.006547353230416775,
-0.009169049561023712,
-0.01651071570813656,
-0.031625643372535706,
0.028301462531089783,
0.05443577840924263,
0.019651241600513458,
0.006340739782899618,
0.004455965012311935,
-0.06497766077518463,
0.04330619424581528,
-0.04040442407131195,
0.024885451421141624,
-0.03772303834557533,
-0.01359057892113924,
0.003494064323604107,
0.035243675112724304,
-0.013416104950010777,
-0.023434564471244812,
0.05719062313437462,
-0.01108366809785366,
0.04033096134662628,
0.04551007226109505,
-0.014729248359799385,
-0.020000189542770386,
0.040367692708969116,
-0.018319733440876007,
-0.036363981664180756,
0.0005980313871987164,
-0.019137004390358925,
-0.009265468455851078,
-0.035096749663352966,
0.0524890199303627,
0.01643725298345089,
0.05649273097515106,
0.021873485296964645,
-0.023342737928032875,
0.03234190493822098,
0.030211489647626877,
-0.02791578322649002,
-0.028760602697730064,
-0.03206641972064972,
0.020147114992141724,
0.013067157939076424,
0.01783304288983345,
0.03199295699596405,
0.012828404083848,
0.06806308776140213,
-0.0015358271775767207,
-0.01876050792634487,
-0.025693539530038834,
-0.010808182880282402,
0.0018170512048527598,
0.005674984771758318,
-0.014986367896199226,
-0.001781467697583139,
0.055133670568466187,
-0.04169001802802086,
-0.01977980136871338,
0.01797078549861908,
0.007552872411906719,
0.0034137147013098,
0.031570546329021454,
0.0005142380832694471,
-0.022424453869462013,
0.04128597304224968,
-0.024205923080444336,
-0.015564885921776295,
-0.015987295657396317,
-0.020881740376353264,
-0.02492218278348446,
-0.015996478497982025,
0.022075507789850235,
-0.03812708333134651,
-0.014169096946716309,
0.012378445826470852,
0.025877196341753006,
0.0199083611369133,
-0.03059716708958149,
0.04580392315983772,
0.022277530282735825,
-0.018080979585647583,
0.0049128104001283646,
0.0015668192645534873,
-0.002470179460942745,
0.019743070006370544,
0.017878957092761993,
-0.0287973340600729,
-0.011579540558159351,
-0.025326227769255638,
-0.005137789528816938,
0.0046097771264612675,
-0.03629051893949509,
0.021193956956267357,
-0.021818388253450394,
0.031570546329021454,
-0.023673318326473236
] |
Optimization problems involving minimization of a rank-one convex function
over constraints modeling restrictions on the support of the decision variables
emerge in various machine learning applications. These problems are often
modeled with indicator variables for identifying the support of the continuous
variables. In this paper we investigate compact extended formulations for such
problems through perspective reformulation techniques. In contrast to the
majority of previous work that relies on support function arguments and
disjunctive programming techniques to provide convex hull results, we propose a
constructive approach that exploits a hidden conic structure induced by
perspective functions. To this end, we first establish a convex hull result for
a general conic mixed-binary set in which each conic constraint involves a
linear function of independent continuous variables and a set of binary
variables. We then demonstrate that extended representations of sets associated
with epigraphs of rank-one convex functions over constraints modeling indicator
relations naturally admit such a conic representation. This enables us to
systematically give perspective formulations for the convex hull descriptions
of these sets with nonlinear separable or non-separable objective functions,
sign constraints on continuous variables, and combinatorial constraints on
indicator variables. We illustrate the efficacy of our results on sparse
nonnegative logistic regression problems. | [
-0.015386734157800674,
0.04074695706367493,
-0.04570089653134346,
-0.04842391982674599,
0.0904831811785698,
0.043929290026426315,
0.012368440628051758,
0.024031519889831543,
-0.059217602014541626,
0.0380239337682724,
0.02140691690146923,
0.014550141990184784,
0.005462454631924629,
-0.05386997386813164,
-0.06128447502851486,
-0.014829006046056747,
0.016945092007517815,
0.025212591513991356,
0.05984094366431236,
-0.02614760585129261,
0.004613559693098068,
-0.0173879936337471,
0.003005990292876959,
0.042485758662223816,
0.04930972680449486,
0.0030593026895076036,
-0.009735636413097382,
-0.01569020375609398,
-0.06220308691263199,
0.013697145506739616,
0.0651557669043541,
-0.00843153614550829,
-0.06869897991418839,
0.03262709453701973,
-0.05301697552204132,
-0.02903466857969761,
0.05098290741443634,
0.027181042358279228,
-0.04865357279777527,
0.04773496463894844,
-0.01322963833808899,
-0.0020320166368037462,
-0.03474317863583565,
-0.005282013211399317,
0.029658012092113495,
0.010965918190777302,
0.05091729387640953,
-0.0004616122751031071,
-0.007603146135807037,
-0.050523605197668076,
-0.01508326455950737,
-0.04287944734096527,
0.014345094561576843,
-0.01948767527937889,
-0.008833428844809532,
0.0065369014628231525,
0.06817405670881271,
0.05692107230424881,
0.042485758662223816,
0.03772866353392601,
-0.04438859596848488,
-0.011523646302521229,
-0.10340934991836548,
-0.015665598213672638,
0.037302166223526,
-0.01966811716556549,
0.037302166223526,
0.019750136882066727,
0.00005741318454965949,
-0.01641196943819523,
-0.06495892256498337,
-0.022276315838098526,
0.03717093542218208,
0.029543185606598854,
-0.00233958731405437,
0.0068526738323271275,
0.040090806782245636,
-0.014197460375726223,
-0.0031987347174435854,
-0.04911287873983383,
-0.013262446038424969,
0.03533371537923813,
0.021751396358013153,
0.03671163320541382,
0.0036559896543622017,
-0.04048449918627739,
-0.04084537923336029,
-0.05823337286710739,
0.05521508306264877,
0.03471037372946739,
-0.009957087226212025,
0.030330566689372063,
0.004896524362266064,
0.024671265855431557,
0.06725544482469559,
0.045864932239055634,
0.017552031204104424,
-0.004012771416455507,
-0.013475694693624973,
0.0441589429974556,
0.05190151929855347,
0.04179679974913597,
0.005113874562084675,
0.00634415727108717,
0.02578672207891941,
-0.019471272826194763,
0.031167158856987953,
0.006565608084201813,
0.011859923601150513,
0.08169075846672058,
-0.025721106678247452,
0.017978528514504433,
0.045602474361658096,
0.03959869593381882,
-0.04504474624991417,
-0.0010052433935925364,
-0.09540431201457977,
-0.08162514865398407,
0.05380435660481453,
0.015066860243678093,
0.01582963578402996,
0.03536652401089668,
0.056166499853134155,
0.023834673687815666,
-0.05852864310145378,
0.01806054823100567,
0.012835947796702385,
0.05177028849720955,
0.007131537888199091,
-0.00775488093495369,
0.023490194231271744,
-0.01569020375609398,
0.06574629992246628,
-0.06610718369483948,
-0.0038179769180715084,
0.016272537410259247,
0.07165165990591049,
0.01337727252393961,
-0.07939423620700836,
-0.03438229486346245,
-0.03605547919869423,
0.016149509698152542,
0.01025235466659069,
0.008156773634254932,
-0.020242249593138695,
0.0015193989966064692,
-0.011646674945950508,
-0.041107840836048126,
-0.002078152261674404,
-0.006454882677644491,
-0.020832784473896027,
0.032430246472358704,
0.019340042024850845,
0.012040365487337112,
0.06197343394160271,
0.004818606656044722,
-0.029493974521756172,
-0.011490839533507824,
0.02872299589216709,
-0.03064223751425743,
0.06791159510612488,
-0.005540372338145971,
-0.008858034387230873,
0.0015327270375564694,
-0.0013040995690971613,
0.013910395093262196,
-0.00025515546440146863,
0.026360854506492615,
-0.030248546972870827,
0.00713563896715641,
0.032594285905361176,
-0.052688900381326675,
-0.01262269914150238,
0.016477584838867188,
0.0016947141848504543,
0.03868008404970169,
0.04389648139476776,
0.05272170901298523,
-0.008710400201380253,
-0.013131216168403625,
-0.011671280488371849,
-0.02416274882853031,
-0.04012361541390419,
-0.008923649787902832,
0.03723655268549919,
0.023063696920871735,
0.0641387328505516,
-0.02962520346045494,
0.021685780957341194,
-0.010358978994190693,
0.025885144248604774,
0.04799742251634598,
0.010654247365891933,
-0.03881131485104561,
0.033430878072977066,
-0.0669601783156395,
-0.03395579755306244,
0.02650848776102066,
-0.01580503024160862,
0.001880281837657094,
-0.05843022093176842,
-0.011507242918014526,
-0.003395579755306244,
0.01587064564228058,
-0.0030531513039022684,
-0.03156084939837456,
0.01997978799045086,
-0.009809453040361404,
-0.012852352112531662,
-0.0448807068169117,
-0.012491469271481037,
-0.010112922638654709,
-0.008210085332393646,
-0.00017749388644006103,
-0.008312609046697617,
-0.02308010123670101,
0.018076952546834946,
-0.005597785580903292,
0.02267000637948513,
-0.04550405219197273,
-0.007931221276521683,
0.09245163202285767,
0.0644996166229248,
-0.0300517026335001,
0.06092359125614166,
-0.0032438449561595917,
-0.06404031068086624,
0.02070155367255211,
0.013172225095331669,
0.019159600138664246,
0.008866236545145512,
-0.04655389115214348,
0.007529329042881727,
-0.020652342587709427,
0.0004754529509227723,
0.004609458614140749,
0.015042254701256752,
0.021636569872498512,
-0.029297128319740295,
0.0018392724450677633,
-0.034808795899152756,
-0.029461165890097618,
0.022686410695314407,
0.03507125377655029,
0.008337214589118958,
0.04068134352564812,
-0.013442886993288994,
0.035891443490982056,
0.05872548744082451,
0.05715072527527809,
-0.034808795899152756,
-0.029772838577628136,
-0.0034119836054742336,
-0.024556439369916916,
-0.01241765171289444,
-0.012409450486302376,
0.0532466284930706,
-0.0694863572716713,
-0.042190488427877426,
0.018191779032349586,
0.0601034052670002,
0.007582641672343016,
0.0347759872674942,
0.020225845277309418,
0.060792360454797745,
0.007787688635289669,
0.04373244568705559,
-0.01878231391310692,
0.029067475348711014,
0.06374503672122955,
0.07394818216562271,
-0.011433426290750504,
0.06850213557481766,
0.015485156327486038,
0.04140310734510422,
-0.04799742251634598,
-0.008562766946852207,
-0.07138919830322266,
0.01810975931584835,
-0.039434656500816345,
-0.0206359401345253,
0.044421400874853134,
0.02813246101140976,
-0.03815516456961632,
0.03375895321369171,
-0.0020986569579690695,
0.01853625662624836,
-0.0014250773238018155,
-0.006770655047148466,
-0.022095873951911926,
0.021538145840168,
0.021685780957341194,
-0.052688900381326675,
0.030609430745244026,
0.029559588059782982,
0.03093750588595867,
-0.03448072075843811,
-0.057019494473934174,
0.01973373256623745,
-0.019454868510365486,
-0.04606178030371666,
-0.010457402095198631,
0.0031474728602916002,
0.008907245472073555,
-0.04133749380707741,
0.0014189259381964803,
0.0006597390165552497,
0.02188262529671192,
-0.04888322576880455,
0.0019151398446410894,
-0.003332015359774232,
0.015288311056792736,
-0.011884529143571854,
0.0035473147872835398,
0.009899673983454704,
0.028444133698940277,
0.04904726520180702,
-0.040517304092645645,
-0.014115441590547562,
-0.0300517026335001,
0.0016906133387237787,
-0.011736895889043808,
-0.042912255972623825,
-0.01253247819840908,
0.023965904489159584,
-0.056822650134563446,
0.025753915309906006,
0.02242395095527172,
0.0026471579913049936,
0.00851355493068695,
-0.04258418083190918,
-0.02262079529464245,
-0.026557698845863342,
-0.004420815501362085,
-0.012278219684958458,
-0.045668087899684906,
-0.018864331766963005,
-0.0047447895631194115,
-0.041107840836048126,
-0.01409903820604086,
0.014861813746392727,
-0.012499670498073101,
-0.02393309585750103,
0.04425736516714096,
0.002575391437858343,
-0.024687670171260834,
-0.04822707548737526,
-0.008341316133737564,
-0.02944476343691349,
-0.01925802230834961,
0.0008627356728538871,
-0.008304406888782978,
0.011367810890078545,
0.016215123236179352,
0.029001859948039055,
-0.03940184786915779,
-0.05603526905179024,
-0.019044773653149605,
-0.05482139065861702,
0.012401248328387737,
0.030625833198428154,
-0.02326054312288761,
-0.07204534858465195,
0.018454238772392273,
-0.05770845338702202,
0.03177409619092941,
-0.021078841760754585,
-0.013828376308083534,
-0.04353559762239456,
0.027738770470023155,
-0.05600246042013168,
0.01871669851243496,
-0.021456127986311913,
0.008218287490308285,
-0.03149523213505745,
-0.014558343216776848,
0.040025193244218826,
-0.03671163320541382,
-0.02248956449329853,
0.0318889245390892,
-0.013787366449832916,
-0.024375999346375465,
0.004552045371383429,
-0.03933623433113098,
0.005015451926738024,
0.005167186725884676,
-0.04550405219197273,
-0.0038938443176448345,
-0.03398860618472099,
-0.017404397949576378,
0.024015115574002266,
-0.03710532188415527,
0.0030531513039022684,
-0.03375895321369171,
0.059053562581539154,
-0.011777904815971851,
-0.04264979436993599,
-0.00792712066322565,
0.00018646470562089235,
0.013500300236046314,
0.011400618590414524,
-0.046094585210084915,
-0.027738770470023155,
-0.010367181152105331,
-0.005601886659860611,
-0.0031454223208129406,
0.026475680992007256,
0.025458646938204765,
0.007758982013911009,
0.013278849422931671,
0.045077551156282425,
-0.05026114359498024,
-0.030691448599100113,
0.05006429925560951,
0.02878861129283905,
0.047177236527204514,
-0.018306603655219078,
-0.04445420950651169,
0.032233402132987976,
-0.010875698179006577,
0.017765279859304428,
-0.031528040766716,
0.044421400874853134,
-0.035530559718608856,
0.0041399006731808186,
0.03471037372946739,
0.027181042358279228,
0.007562136743217707,
0.03198734670877457,
-0.010957716964185238,
0.055444732308387756,
0.056822650134563446,
-0.006782957818359137,
-0.05596965551376343,
0.0038712890818715096,
0.006639424711465836,
-0.04868638142943382,
0.05062202736735344,
0.00884163100272417,
0.005126177333295345,
-0.022998081520199776,
0.012614496983587742,
0.021062437444925308,
0.012844149954617023,
0.044355787336826324,
0.029051072895526886,
-0.05104852467775345,
0.014295883476734161,
-0.012647304683923721,
0.005425546318292618,
-0.0847746729850769,
0.005921760108321905,
-0.06308888643980026,
-0.04251856356859207,
0.023014485836029053,
-0.03779428079724312,
0.03392299264669418,
-0.024031519889831543,
0.04635704681277275,
-0.05367312580347061,
0.036744438111782074,
0.024261172860860825,
0.004211667459458113,
-0.056757036596536636,
0.03244665265083313,
0.06535261124372482,
-0.025032149627804756,
-0.03070785291492939,
-0.017650453373789787,
-0.03257788345217705,
0.014829006046056747,
0.000993965775705874,
-0.03539932891726494,
0.0019992091692984104,
0.014279479160904884,
0.03749901056289673,
0.004970341455191374,
-0.08050969243049622,
-0.018339412286877632,
0.04760373383760452,
0.08142830431461334,
-0.040451690554618835,
0.05537911877036095,
0.04491351544857025,
0.022341931238770485,
-0.017781684175133705,
0.050589218735694885,
0.04074695706367493,
0.050228334963321686,
-0.005601886659860611,
0.006725544575601816,
0.046094585210084915,
0.004806303884834051,
0.0023047293070703745,
0.00793532282114029,
-0.016133105382323265,
-0.004164506681263447,
0.015001245774328709,
0.053771547973155975,
-0.008000937290489674,
0.03598986566066742,
0.02309650368988514,
-0.03795831650495529,
0.031462427228689194,
0.0073857964016497135,
-0.03348008915781975,
0.010810082778334618,
-0.03372614458203316,
-0.003018293296918273,
0.02134130150079727,
0.06509014964103699,
0.033266838639974594,
0.024490823969244957,
-0.06715702265501022,
0.019930576905608177,
-0.032299019396305084,
0.06482768803834915,
-0.03503844887018204,
0.03028135560452938,
0.017010707408189774,
0.011310397647321224,
-0.04724285006523132,
-0.03536652401089668,
0.04314190894365311,
-0.016789255663752556,
0.0190119668841362,
0.04156714677810669,
-0.017322378233075142,
0.047833386808633804,
-0.016354555264115334,
-0.011417021974921227,
0.040451690554618835,
-0.036908477544784546,
-0.05127817764878273,
-0.012015759944915771,
-0.02542584016919136,
0.0015645093517377973,
0.03782708942890167,
-0.007254566065967083,
0.007377594243735075,
0.012434056028723717,
0.07270149886608124,
0.0033976302947849035,
0.005675703752785921,
0.01178610697388649,
0.0016167963622137904,
-0.03010091371834278,
0.006512295454740524,
-0.02932993695139885,
0.06200624257326126,
-0.010555824264883995,
-0.000787380849942565,
-0.04606178030371666,
-0.024851707741618156,
-0.023014485836029053,
-0.024687670171260834,
-0.02700060047209263,
0.006557405926287174,
-0.03497283160686493,
-0.038778506219387054,
0.011868125759065151,
-0.05606807768344879,
-0.01912679336965084,
-0.006762453354895115,
-0.0022739723790436983,
0.02476968802511692,
0.01924161985516548,
0.024671265855431557,
-0.04133749380707741,
0.013106610625982285,
0.004297786857932806,
0.01628073863685131,
-0.07545732706785202,
-0.02506495639681816,
-0.028329307213425636,
0.04179679974913597,
0.0067296456545591354,
0.004654569085687399,
-0.003947156481444836,
-0.010629640892148018,
0.011671280488371849,
-0.04491351544857025,
0.037925511598587036,
-0.0007022863137535751,
0.0063154506497085094,
-0.0220794714987278,
0.04481509327888489,
-0.00553217064589262,
0.01016213372349739,
-0.0448807068169117,
-0.0269841980189085,
0.06016901880502701,
0.027541926130652428,
-0.04786619171500206,
0.010112922638654709,
-0.008279801346361637,
0.0264428723603487,
0.022227104753255844,
0.02093120664358139,
-0.042912255972623825,
0.01696149632334709,
-0.013787366449832916,
0.008415132761001587,
-0.01628073863685131,
-0.016789255663752556,
0.018815120682120323,
0.03966430947184563,
0.016649823635816574,
0.017109129577875137,
0.03454633429646492,
-0.0202750563621521,
-0.004613559693098068,
0.030691448599100113,
-0.06256397068500519,
0.019586097449064255,
-0.0525248646736145,
-0.0046422663144767284,
0.030855486169457436,
0.002866558264940977,
-0.03392299264669418,
0.08090338110923767,
-0.03510406240820885,
0.0011072542984038591,
-0.004066084045916796,
-0.014632160775363445,
0.03375895321369171,
-0.014312286861240864,
-0.03461194783449173,
-0.013631531037390232,
-0.03618671000003815,
0.0022206599824130535,
0.016133105382323265,
0.00033832769258879125,
-0.019340042024850845,
-0.028952648863196373,
0.006992105860263109,
-0.026721736416220665,
0.02386748231947422,
-0.04156714677810669,
-0.01013752818107605,
-0.056855458766222,
0.015378531999886036,
-0.029461165890097618,
0.001977679319679737,
-0.01955329068005085,
-0.018880736082792282,
-0.009276330471038818,
-0.02711542695760727,
0.05259047821164131,
-0.0009560320759192109,
0.03402141481637955,
0.02700060047209263,
0.014492728747427464,
0.038056738674640656,
-0.011490839533507824,
-0.003362772287800908,
-0.0016906133387237787,
0.013500300236046314,
0.014664968475699425,
-0.06026744097471237,
0.0024810698814690113,
0.005261508282274008,
-0.009957087226212025,
0.042846642434597015,
0.0015009447233751416,
-0.008767813444137573,
-0.001245661056600511,
0.02729586884379387,
0.004748890642076731,
0.02544224262237549,
-0.017305973917245865,
0.032003749161958694,
-0.012097778730094433,
-0.02495012991130352,
0.02002900093793869,
-0.051671866327524185,
0.005068764090538025,
0.03239744156599045,
-0.0027414795476943254,
-0.007918918505311012,
0.022407546639442444,
0.03041258454322815,
0.0298712607473135,
-0.013828376308083534,
-0.017912914976477623,
-0.012458661571145058,
0.041173458099365234,
0.00628264294937253,
-0.03664601594209671,
-0.02849334478378296,
-0.037925511598587036,
-0.0445198230445385,
-0.029493974521756172,
-0.013959606178104877,
-0.016288941726088524,
0.007160244509577751,
0.020783573389053345,
-0.0034201855305582285,
0.003108514007180929,
0.014148249290883541,
-0.009161503985524178,
0.022587988525629044,
-0.0035493650939315557,
0.04071415215730667,
0.006643525790423155,
-0.013205032795667648,
-0.004884221591055393,
0.020717957988381386,
-0.006787058897316456,
0.030068105086684227,
0.007377594243735075,
0.0047406889498233795,
-0.0011595413088798523,
0.01614130660891533,
0.05715072527527809,
-0.005097470711916685,
0.035727404057979584,
-0.011458031833171844,
0.011318599805235863,
-0.025770317763090134,
-0.009998096153140068,
0.013205032795667648,
0.01397600956261158,
-0.03316841647028923,
-0.015640992671251297,
0.04242014139890671,
0.039369042962789536,
-0.033857375383377075,
0.0521639809012413,
0.006040687207132578,
-0.002905517350882292,
-0.008283902890980244,
-0.0032602488063275814,
-0.008415132761001587,
0.015280109830200672,
-0.005396839696913958,
-0.0032376935705542564,
0.042256105691194534,
0.0160346832126379,
-0.022834043949842453,
0.03789270296692848,
-0.02129209041595459,
0.017896510660648346,
-0.012023961171507835,
0.019274426624178886,
0.00548706017434597,
0.0326106883585453,
-0.004855514969676733,
-0.009013869799673557,
0.026639718562364578,
-0.01623152755200863,
-0.03329964727163315,
0.012032163329422474,
-0.013508502393960953,
-0.018651083111763,
-0.030084509402513504,
-0.03569459915161133,
-0.05856144800782204,
-0.0007955827168188989,
-0.07742578536272049,
0.007316080387681723,
0.035727404057979584,
0.001994082937017083,
-0.004248575773090124,
0.03753181919455528,
0.007279171608388424,
0.015977269038558006,
-0.006905985996127129,
0.029592396691441536,
-0.050228334963321686,
0.03749901056289673,
0.05560877174139023,
-0.027033409103751183,
-0.01842143014073372,
-0.009350147098302841,
0.005663400515913963,
-0.0309539083391428,
0.06528699398040771,
-0.023769058287143707,
0.043994903564453125,
0.0172075517475605,
0.000007136599833756918,
0.00869399681687355,
-0.0034529929980635643,
0.0009903775062412024,
-0.055805616080760956,
0.0070987301878631115,
-0.030740659683942795,
-0.004400310572236776,
0.007295575458556414,
-0.000006607962859561667,
-0.030084509402513504,
-0.034808795899152756,
-0.021538145840168,
0.04940814897418022,
-0.012015759944915771,
-0.02345738746225834,
-0.02429397962987423,
-0.01605108566582203,
-0.04140310734510422,
0.002039193408563733,
-0.0188315249979496,
-0.0048637171275913715,
0.05770845338702202,
-0.02919870615005493,
0.03569459915161133,
-0.003102362621575594,
-0.033496491611003876,
0.0025487353559583426,
0.03448072075843811,
0.044290173798799515,
-0.006528699304908514,
-0.010818284936249256,
0.027263062074780464,
0.027541926130652428,
-0.02417915314435959,
-0.030675044283270836,
0.025179782882332802,
-0.014189259149134159,
0.03579302132129669,
0.0037339075934141874,
-0.017109129577875137,
-0.017010707408189774,
-0.003102362621575594,
0.01914319582283497,
-0.03713813051581383,
-0.01181891467422247,
-0.023424580693244934,
0.04419174790382385,
0.011851722374558449,
0.027279464527964592,
0.019864961504936218,
-0.01858546771109104,
0.001353310770355165,
-0.01247506495565176,
0.02070155367255211,
-0.018683891743421555,
0.01490282267332077,
0.01932363770902157,
0.007713871542364359,
-0.019602501764893532,
-0.044946324080228806,
-0.05734756961464882,
-0.03431668132543564,
0.011072543449699879,
0.0008576094405725598,
0.026656122878193855,
0.037761472165584564,
-0.0110397357493639,
0.013926798477768898,
0.0035719203297048807,
0.014558343216776848,
0.025770317763090134,
0.009120495058596134,
-0.030806275084614754,
-0.07394818216562271,
-0.0051343790255486965,
-0.014599353075027466,
-0.025409435853362083,
0.013328061439096928,
0.025819530710577965,
0.04924410954117775,
0.01265550684183836,
0.006869077682495117,
0.03028135560452938,
-0.04786619171500206,
-0.010580429807305336,
-0.044716671109199524,
-0.015214494429528713,
-0.07145480811595917,
0.031511638313531876,
0.017010707408189774,
0.0191924087703228,
0.014607555232942104,
-0.005368133075535297,
0.01733878254890442,
0.013393675908446312,
0.0022719218395650387,
0.0054665557108819485,
-0.0034447910729795694,
0.02237473800778389,
-0.03533371537923813,
0.01008011493831873,
-0.05429647117853165,
0.0340542197227478,
-0.056855458766222,
-0.004539742600172758,
-0.022030260413885117,
-0.028165269643068314,
-0.019208811223506927,
0.044716671109199524,
0.04032045975327492,
-0.010998725891113281,
-0.01948767527937889,
0.0023539406247437,
-0.009104090742766857,
-0.013262446038424969,
-0.002850154647603631,
0.01091670710593462,
0.011761501431465149,
0.0014384053647518158,
-0.027443502098321915,
-0.006057091057300568,
-0.006331854034215212,
0.022653602063655853,
0.03533371537923813,
0.02020944096148014,
0.026229623705148697,
0.05957848206162453,
0.022522373124957085,
-0.03220059722661972,
0.001544004655443132,
-0.01758483797311783,
-0.010736266151070595,
0.014763390645384789,
0.04304348677396774,
-0.05856144800782204,
-0.005146682262420654,
0.055740002542734146,
-0.021160859614610672,
-0.013639732263982296,
-0.025458646938204765,
0.020045403391122818,
0.014861813746392727,
-0.03375895321369171,
-0.005819236394017935,
-0.018306603655219078,
-0.007467815186828375,
0.037761472165584564,
0.0009386030724272132,
-0.052688900381326675,
0.0020463699474930763,
0.005171287804841995,
-0.006864976603537798,
0.050589218735694885,
0.03638355806469917,
0.004556146450340748,
-0.019290830940008163,
-0.015558973886072636,
-0.027509117498993874,
-0.004625862464308739,
0.034513525664806366,
0.011236581020057201,
-0.01997978799045086,
0.01696149632334709,
-0.024687670171260834,
-0.011293994262814522,
-0.040517304092645645,
-0.039434656500816345,
-0.0017264964990317822,
0.016559602692723274,
-0.058987949043512344,
-0.0188315249979496,
-0.03536652401089668,
0.022637199610471725,
-0.017141936346888542,
-0.019864961504936218,
0.009932480752468109,
0.006618920248001814,
0.015460550785064697,
0.023375367745757103,
-0.00388359185308218,
-0.06863336265087128,
-0.014820803888142109,
-0.008907245472073555,
0.03425106778740883,
-0.011023331433534622,
-0.04438859596848488,
-0.007886110804975033,
0.014664968475699425,
0.00626623909920454,
-0.005142581183463335,
-0.01490282267332077,
0.034808795899152756,
0.03713813051581383,
0.02152174338698387,
0.03029775805771351,
0.010523016564548016,
0.003110564313828945,
-0.013565915636718273,
-0.010670650750398636,
0.003793371142819524,
0.012589891441166401,
-0.013943202793598175,
-0.039139389991760254,
0.04658669978380203,
0.029133090749382973,
0.03861446678638458,
-0.032348230481147766,
-0.03287314996123314,
-0.017010707408189774,
0.03940184786915779,
0.0003080832539126277,
-0.019176004454493523,
0.0021734992042183876,
0.022046662867069244,
0.04166556894779205,
0.004051730502396822,
0.029346339404582977,
0.010186739265918732,
-0.01727316714823246,
0.009276330471038818,
0.020898399874567986,
0.029297128319740295,
0.02745990641415119,
-0.03197094425559044,
0.044290173798799515,
-0.018142566084861755,
-0.033266838639974594,
0.03707251325249672,
0.01889714039862156,
-0.008620180189609528,
-0.026410065591335297,
0.00007208687020465732,
-0.009235321544110775,
-0.030494604259729385,
0.04389648139476776,
0.006713241804391146,
0.018880736082792282,
-0.024933727458119392,
-0.02075076662003994,
-0.025770317763090134,
-0.07060181349515915,
-0.005433748010545969
] |
Deep neural networks are proven to be vulnerable to backdoor attacks.
Detecting the trigger samples during the inference stage, i.e., the test-time
trigger sample detection, can prevent the backdoor from being triggered.
However, existing detection methods often require the defenders to have high
accessibility to victim models, extra clean data, or knowledge about the
appearance of backdoor triggers, limiting their practicality. In this paper, we
propose the test-time corruption robustness consistency evaluation (TeCo), a
novel test-time trigger sample detection method that only needs the hard-label
outputs of the victim models without any extra information. Our journey begins
with the intriguing observation that the backdoor-infected models have similar
performance across different image corruptions for the clean images, but
perform discrepantly for the trigger samples. Based on this phenomenon, we
design TeCo to evaluate test-time robustness consistency by calculating the
deviation of severity that leads to predictions' transition across different
corruptions. Extensive experiments demonstrate that compared with
state-of-the-art defenses, which even require either certain information about
the trigger types or accessibility of clean data, TeCo outperforms them on
different backdoor attacks, datasets, and model architectures, enjoying a
higher AUROC by 10% and 5 times of stability. | [
-0.02358783408999443,
-0.08328499644994736,
-0.020911073312163353,
-0.017776207998394966,
0.026372384279966354,
0.004895418882369995,
-0.03407929837703705,
0.005883484613150358,
-0.017883997410535812,
0.02877967245876789,
-0.03028871864080429,
0.007432952057570219,
0.01761452481150627,
0.007639547809958458,
-0.017650455236434937,
-0.030648015439510345,
0.0052951364777982235,
-0.009197997860610485,
0.026821505278348923,
-0.03959450498223305,
0.025725649669766426,
-0.03948671743273735,
-0.020713459700345993,
0.01185679342597723,
0.020982932299375534,
0.04455279931426048,
0.03670216724276543,
-0.030073141679167747,
-0.011686127632856369,
0.07703322917222977,
0.04189400374889374,
0.05680482089519501,
-0.011704092845320702,
-0.03420505300164223,
-0.01494674663990736,
-0.009907608851790428,
0.020677529275417328,
0.041031692177057266,
0.03266007825732231,
0.008730911649763584,
0.021198511123657227,
-0.06621839851140976,
-0.004264403600245714,
-0.008394070900976658,
-0.013033490628004074,
-0.032480429857969284,
-0.009503399953246117,
-0.06517643481492996,
-0.014425765722990036,
0.06363146007061005,
0.011245989240705967,
-0.004720261320471764,
0.029390476644039154,
-0.01800076849758625,
0.006615552119910717,
0.0700269415974617,
0.04347490891814232,
-0.001962658716365695,
0.04893622174859047,
0.006988322362303734,
-0.04160656780004501,
0.0430796854197979,
-0.007572179660201073,
0.04340305179357529,
0.010186064057052135,
-0.03068394586443901,
0.08673424273729324,
-0.007374566514045,
0.043187472969293594,
0.0027329011354595423,
-0.05759527534246445,
-0.02365969307720661,
-0.01024894043803215,
-0.021521877497434616,
-0.008349158801138401,
-0.006251764018088579,
0.03677402436733246,
0.021521877497434616,
-0.008780315518379211,
0.020012831315398216,
0.027935324236750603,
0.07394327968358994,
-0.005416398867964745,
0.047786470502614975,
0.024611828848719597,
-0.07451815158128738,
-0.048900291323661804,
-0.05630180612206459,
-0.00014182398444972932,
-0.011829846538603306,
-0.0032785830553621054,
-0.004062299150973558,
0.014560502022504807,
-0.019689463078975677,
0.0039545102044939995,
0.04422943294048309,
-0.0491158701479435,
-0.0046484023332595825,
-0.09578852355480194,
-0.012997561134397984,
0.02712690643966198,
0.009233927354216576,
-0.013877837918698788,
0.060864873230457306,
0.03325291723012924,
-0.005730783566832542,
-0.07185935974121094,
0.0709611177444458,
-0.014335941523313522,
0.1639830470085144,
-0.0209649670869112,
-0.017524700611829758,
-0.04347490891814232,
-0.009512382559478283,
-0.04886436089873314,
0.005694854073226452,
-0.055942509323358536,
-0.031025277450680733,
-0.05091235414147377,
-0.05303220450878143,
-0.044373150914907455,
0.027540098875761032,
0.05687668174505234,
0.0355883464217186,
-0.035767994821071625,
0.017192350700497627,
0.020443987101316452,
0.007374566514045,
0.05112793296575546,
0.0072892336174845695,
-0.01661747694015503,
-0.02976773865520954,
0.031761836260557175,
-0.049762602895498276,
0.07038623839616776,
0.005393942818045616,
0.048505064100027084,
0.036486588418483734,
-0.017982803285121918,
0.004890927579253912,
0.03601950407028198,
0.00794494990259409,
0.017174385488033295,
0.06542794406414032,
-0.024036955088377,
0.02759399265050888,
0.024126779288053513,
0.0670088529586792,
-0.005286153871566057,
0.04060053825378418,
-0.04239702224731445,
-0.0022747977636754513,
0.041678428649902344,
0.01106634084135294,
0.04710380733013153,
0.02700115367770195,
-0.018413960933685303,
0.011811881326138973,
-0.020246373489499092,
-0.10843577235937119,
0.06129603087902069,
-0.062373921275138855,
0.029192863032221794,
0.028600024059414864,
0.02489926666021347,
0.029929421842098236,
0.05989477410912514,
-0.0049268570728600025,
-0.03409726545214653,
0.04933144897222519,
0.03068394586443901,
0.014156293123960495,
0.001988483127206564,
0.053643010556697845,
-0.049834463745355606,
0.025312459096312523,
0.005268189124763012,
-0.06539201736450195,
-0.03068394586443901,
0.010662131942808628,
-0.04379827901721001,
-0.01556653343141079,
0.01676119491457939,
-0.02957012504339218,
0.047139737755060196,
0.03165404498577118,
0.02116258069872856,
0.012180160731077194,
-0.006296676117926836,
0.038121387362480164,
0.028294621035456657,
0.0035345822107046843,
0.040887974202632904,
-0.015108429826796055,
0.013311945833265781,
-0.018180416896939278,
-0.061655327677726746,
-0.038732193410396576,
0.001135153230279684,
0.005762222222983837,
0.031043242663145065,
0.01774027943611145,
0.01787501573562622,
-0.06377518177032471,
0.03686384856700897,
-0.016042601317167282,
0.0411035530269146,
0.006548183970153332,
-0.013734119944274426,
-0.021629666909575462,
-0.03409726545214653,
-0.034007441252470016,
-0.02700115367770195,
0.02969587966799736,
-0.0336122140288353,
0.004895418882369995,
-0.02259976789355278,
-0.03639676421880722,
-0.03337867185473442,
0.03765430301427841,
0.02955215983092785,
0.007486846763640642,
-0.024450145661830902,
-0.010186064057052135,
-0.05820607766509056,
-0.008003335446119308,
0.05939175933599472,
0.0007505934336222708,
-0.01185679342597723,
-0.0013372576795518398,
-0.05763120576739311,
-0.02416270785033703,
0.00837161485105753,
-0.05339150130748749,
-0.011740022338926792,
-0.02673168107867241,
0.020749390125274658,
-0.040492746978998184,
0.013329911045730114,
-0.015359937213361263,
0.010060310363769531,
-0.0012272230815142393,
-0.050085972994565964,
-0.05497240647673607,
0.04573848098516464,
-0.011219042353332043,
-0.03034261241555214,
0.04491209611296654,
0.021432053297758102,
0.02858205884695053,
-0.018952906131744385,
-0.02542024664580822,
0.0018515012925490737,
0.01879122108221054,
-0.0050840494222939014,
-0.0001650519552640617,
0.004587770905345678,
-0.07739252597093582,
0.002822725335136056,
-0.010293852537870407,
0.05759527534246445,
0.04591812938451767,
-0.06636211276054382,
0.011219042353332043,
0.00496278703212738,
0.006961375009268522,
0.05148722976446152,
-0.02707301266491413,
-0.01668035238981247,
0.051918383687734604,
0.057379696518182755,
0.011641215533018112,
-0.08019503951072693,
-0.00939561054110527,
0.034582316875457764,
-0.00441710464656353,
0.012458615936338902,
-0.010886692441999912,
-0.009503399953246117,
0.04160656780004501,
0.011470549739897251,
0.0018975361017510295,
0.027773641049861908,
-0.04038495942950249,
0.062050554901361465,
-0.04728345572948456,
-0.008825227618217468,
-0.0008157159900292754,
-0.074086993932724,
-0.04710380733013153,
-0.0004572613106574863,
0.005200820975005627,
-0.04814576730132103,
-0.04031309857964516,
0.04369048774242401,
0.0065392013639211655,
-0.027576027438044548,
-0.040492746978998184,
-0.022042857483029366,
-0.006399973761290312,
-0.05612215772271156,
-0.0005877870717085898,
-0.021755419671535492,
0.06682920455932617,
-0.03916335105895996,
-0.0210188627243042,
0.0642063319683075,
0.021970998495817184,
-0.018827151507139206,
-0.00323591660708189,
0.018431924283504486,
-0.05662517249584198,
0.030001280829310417,
-0.01871936209499836,
-0.02155780792236328,
-0.0009611189016140997,
-0.05727190896868706,
-0.027504168450832367,
-0.04458872973918915,
0.004439560696482658,
0.0314205028116703,
0.009440522640943527,
-0.06830231845378876,
0.00949441734701395,
-0.022617733106017113,
-0.016797125339508057,
-0.009503399953246117,
0.0029776720330119133,
-0.016518669202923775,
0.011479532346129417,
-0.010132169350981712,
0.010653149336576462,
-0.06320030242204666,
0.016464775428175926,
-0.03021685965359211,
0.004264403600245714,
-0.03718721866607666,
0.02843834087252617,
-0.006772744469344616,
-0.0380854606628418,
-0.013123314827680588,
-0.010239958763122559,
-0.046528931707143784,
0.005079558119177818,
-0.018180416896939278,
-0.06154754012823105,
-0.027090977877378464,
-0.020210444927215576,
-0.014425765722990036,
0.001762799802236259,
0.0008651192765682936,
-0.03650455176830292,
-0.01474913302809,
0.04559476301074028,
0.051918383687734604,
0.01610547862946987,
-0.03231874480843544,
0.01077890396118164,
-0.0027306554839015007,
-0.009701013565063477,
0.052457328885793686,
-0.05339150130748749,
-0.03416912257671356,
0.029911456629633904,
-0.005438854917883873,
-0.021432053297758102,
-0.03292955085635185,
0.05443346127867699,
0.0032336709555238485,
-0.0013518541818484664,
-0.006853586062788963,
0.06424226611852646,
0.00026792872813530266,
0.013770049437880516,
0.04537918418645859,
-0.029462335631251335,
0.013590401038527489,
0.027216730639338493,
-0.028079044073820114,
0.05432567372918129,
-0.06032593175768852,
-0.0499422512948513,
0.018027715384960175,
0.01886308193206787,
-0.03567817062139511,
0.01041062455624342,
0.015737198293209076,
-0.025276528671383858,
-0.020138584077358246,
-0.007612600456923246,
-0.02628256008028984,
-0.014964710921049118,
-0.023605799302458763,
-0.007742845453321934,
0.028815602883696556,
-0.001492204493843019,
-0.03499550744891167,
0.0010099607752636075,
0.03310919925570488,
-0.06036185845732689,
-0.02825869247317314,
-0.008456948213279247,
-0.005510714370757341,
-0.036163222044706345,
-0.020120620727539062,
-0.020659565925598145,
0.01304247323423624,
0.02292313426733017,
0.018018733710050583,
-0.009251892566680908,
0.004711279179900885,
-0.00609457166865468,
-0.01792890951037407,
-0.01471320353448391,
0.03654048219323158,
-0.003941036760807037,
0.02667778544127941,
-0.024935197085142136,
0.008416526950895786,
-0.0210188627243042,
-0.0055735912173986435,
0.023354290053248405,
0.035714101046323776,
-0.037043496966362,
0.05091235414147377,
0.02655203267931938,
0.022096751257777214,
-0.006736814510077238,
0.08321313560009003,
-0.07103297114372253,
0.02109072171151638,
0.016868984326720238,
0.00952136516571045,
-0.04272038862109184,
0.04696008935570717,
-0.02608494646847248,
0.03722314536571503,
0.000046140161430230364,
-0.005097523331642151,
0.007361093070358038,
-0.009808802045881748,
0.033145129680633545,
0.03934299945831299,
-0.03670216724276543,
-0.046996019780635834,
-0.07739252597093582,
-0.03632490336894989,
-0.013365840539336205,
0.007410496007651091,
-0.004518156871199608,
-0.06575131416320801,
0.06927242130041122,
-0.035247012972831726,
-0.00016645545838400722,
0.004244193434715271,
-0.011668163351714611,
-0.009215962141752243,
-0.0730450376868248,
0.01583600603044033,
-0.015485690906643867,
0.011829846538603306,
0.0681585967540741,
-0.03521108627319336,
-0.015297060832381248,
-0.005169382318854332,
0.041031692177057266,
-0.026713715866208076,
0.00430257897824049,
0.010976516641676426,
0.015719234943389893,
0.020641600713133812,
-0.055475424975156784,
-0.0310073122382164,
0.009566277265548706,
0.031761836260557175,
0.013805978931486607,
0.014740150421857834,
-0.05605029687285423,
0.026965223252773285,
-0.019024765118956566,
0.04164249822497368,
-0.024216603487730026,
-0.030468367040157318,
-0.008519824594259262,
0.05069677531719208,
0.0034200563095510006,
0.015584497712552547,
-0.021719491109251976,
0.02410881407558918,
-0.05170280858874321,
0.04157063737511635,
-0.038804054260253906,
0.0210188627243042,
0.01608751341700554,
-0.0038983700796961784,
-0.01027588825672865,
-0.030504297465085983,
-0.03540869802236557,
0.08378800749778748,
-0.018431924283504486,
0.0022411136887967587,
-0.060397788882255554,
-0.0030001280829310417,
0.05385858938097954,
0.03673809766769409,
-0.01595277711749077,
0.042935967445373535,
0.024342356249690056,
0.024522004649043083,
0.01733607053756714,
-0.004518156871199608,
-0.016707301139831543,
-0.012243038043379784,
0.003936545457690954,
0.005555626470595598,
0.016599511727690697,
0.003193250158801675,
0.011605286039412022,
0.020982932299375534,
0.012503528036177158,
0.023156678304076195,
-0.03213909640908241,
-0.025635825470089912,
0.03305530548095703,
0.043510839343070984,
0.043259333819150925,
0.02153984270989895,
0.04002566263079643,
0.01800975203514099,
-0.07638649642467499,
0.015063517726957798,
0.026049016043543816,
-0.0033639161847531796,
0.008182983845472336,
0.00942255835980177,
-0.030198894441127777,
0.014389836229383945,
0.04106762260198593,
-0.06057743728160858,
-0.04060053825378418,
0.000057999764976557344,
-0.013060438446700573,
-0.003965738229453564,
-0.004347491078078747,
-0.044768378138542175,
0.008757859468460083,
0.042145512998104095,
-0.002685743384063244,
0.016527652740478516,
-0.0031146539840847254,
0.009718977846205235,
0.010015398263931274,
-0.02272552065551281,
0.023282431066036224,
0.0036895289085805416,
-0.006615552119910717,
-0.02265366166830063,
-0.0045922622084617615,
0.02259976789355278,
-0.03312716260552406,
-0.04800204932689667,
0.0255460012704134,
0.0072263567708432674,
-0.00047382264165207744,
-0.00012729772424791008,
-0.010051327757537365,
0.06474527716636658,
0.06445784121751785,
-0.00604516826570034,
0.009135120548307896,
-0.008820735849440098,
-0.0255460012704134,
-0.0020423776004463434,
-0.020857177674770355,
0.011838829144835472,
-0.02259976789355278,
-0.006876042112708092,
-0.03213909640908241,
-0.013401770032942295,
-0.0030338121578097343,
0.012485562823712826,
-0.025078915059566498,
-0.025653790682554245,
0.04189400374889374,
0.0013720645802095532,
-0.03560630977153778,
-0.047139737755060196,
-0.027701782062649727,
-0.024522004649043083,
-0.015386885032057762,
-0.00965610146522522,
-0.0031573204323649406,
0.008735403418540955,
0.01995893567800522,
0.014964710921049118,
-0.0469241589307785,
0.018099576234817505,
-0.0017032913165166974,
0.02732452005147934,
-0.0006719972589053214,
0.006188887171447277,
0.01267419382929802,
0.015988707542419434,
0.004358719103038311,
0.007855125702917576,
-0.022060822695493698,
0.0275221336632967,
-0.013850891031324863,
0.03095341846346855,
0.05551135167479515,
-0.01403053943067789,
0.0012294687330722809,
0.01681508868932724,
-0.019887076690793037,
0.04034902900457382,
-0.008452456444501877,
0.011272936128079891,
0.009961503557860851,
-0.011991529725492,
-0.009530346840620041,
0.060864873230457306,
-0.022150646895170212,
0.033720001578330994,
0.04455279931426048,
-0.0022972538135945797,
0.01106634084135294,
-0.03830103576183319,
-0.019006799906492233,
-0.01641087979078293,
-0.04534325376152992,
-0.01451558992266655,
0.029318617656826973,
-0.061583466827869415,
-0.010760938748717308,
-0.02405492030084133,
0.03452841937541962,
0.03285769000649452,
0.0064808158203959465,
0.005097523331642151,
-0.019276272505521774,
0.04311561584472656,
0.028150903061032295,
-0.013293980620801449,
0.010985499247908592,
-0.012602334842085838,
-0.017425894737243652,
-0.03416912257671356,
-0.02259976789355278,
0.049044009298086166,
0.027953289449214935,
-0.05385858938097954,
0.031492363661527634,
0.0007814705022610724,
0.021827278658747673,
-0.009754907339811325,
-0.017830103635787964,
0.05543949455022812,
0.0411035530269146,
-0.017488770186901093,
-0.0210188627243042,
0.009898626245558262,
0.00945848785340786,
-0.0021748682484030724,
0.037546515464782715,
0.03368407487869263,
-0.03625304624438286,
0.02344411425292492,
-0.0022972538135945797,
-0.013608365319669247,
0.03941485658288002,
0.01120107714086771,
-0.04735531657934189,
-0.01366226002573967,
-0.01589888334274292,
0.0029641983564943075,
-0.026318488642573357,
0.014362889342010021,
0.0006719972589053214,
0.03573206439614296,
-0.04527139291167259,
-0.009611189365386963,
-0.003920826129615307,
-0.00477864732965827,
0.007055690512061119,
-0.022438084706664085,
-0.007154497317969799,
0.0011368375271558762,
0.03551648557186127,
-0.027306554839015007,
0.013922750018537045,
-0.012225072830915451,
0.005420890171080828,
-0.032282814383506775,
0.006440395023673773,
-0.005488258320838213,
0.018952906131744385,
-0.017246246337890625,
-0.05885281413793564,
0.005061593372374773,
0.005133452825248241,
-0.025312459096312523,
0.010006415657699108,
-0.06603875011205673,
0.015916846692562103,
0.011147182434797287,
0.012422686442732811,
0.0024050427600741386,
0.0022175349295139313,
0.009278839454054832,
0.007414987310767174,
-0.0135275237262249,
0.030594121664762497,
-0.007998844608664513,
0.004037597682327032,
0.011497496627271175,
0.02470165304839611,
0.05263697728514671,
0.017120491713285446,
-0.05773899331688881,
0.09205183386802673,
0.01474913302809,
0.06797894835472107,
0.02259976789355278,
-0.08644680678844452,
-0.00011417497444199398,
0.006633516866713762,
0.007891055196523666,
0.02516873925924301,
-0.009206980466842651,
0.0031056716106832027,
0.07153598964214325,
-0.01726420968770981,
-0.011497496627271175,
0.009754907339811325,
0.005690362770110369,
-0.0039118435233831406,
0.0002491218037903309,
0.008528807200491428,
0.021521877497434616,
0.020605670288205147,
0.05418195575475693,
0.01228795014321804,
-0.017919927835464478,
-0.02062363550066948,
0.03125882148742676,
0.002319709863513708,
-0.01642884500324726,
0.02766585163772106,
0.02955215983092785,
-0.028546130284667015,
0.05288848653435707,
-0.010257923044264317,
0.0204978808760643,
-0.005914923269301653,
-0.01356345321983099,
0.0024993582628667355,
-0.012036441825330257,
0.005021172575652599,
-0.015018605627119541,
-0.030917488038539886,
0.004383420571684837,
0.03249839320778847,
0.02089310809969902,
-0.006390991620719433,
0.069919154047966,
-0.008964454755187035,
-0.010051327757537365,
0.005587065126746893,
0.04836134612560272,
0.037079427391290665,
0.03095341846346855,
0.0051963296718895435,
0.06136789172887802,
-0.008003335446119308,
-0.026893364265561104,
-0.01238675694912672,
0.05644552409648895,
-0.023533938452601433,
-0.0011969073675572872,
0.02443218044936657,
-0.014066468924283981,
-0.021899139508605003,
-0.06844604015350342,
-0.0030383034609258175,
-0.00847042165696621,
0.02240215428173542,
-0.02942640706896782,
0.008474912494421005,
0.0006888392963446677,
0.01866546832025051,
-0.0017279930179938674,
-0.0255460012704134,
0.042792245745658875,
-0.004958295729011297,
-0.023354290053248405,
-0.01911458931863308,
-0.04839727655053139,
0.013644295744597912,
0.004931348375976086,
-0.011677145026624203,
0.027162836864590645,
-0.020282303914427757,
0.0038220195565372705,
0.019599638879299164,
0.007042217068374157,
-0.004545104224234819,
-0.046816371381282806,
-0.030594121664762497,
0.018683433532714844,
-0.001429327530786395,
0.027288591489195824,
-0.0033504425082355738,
0.004470999352633953,
-0.006629025563597679,
0.015108429826796055,
0.0062113432213664055,
0.03761837258934975,
-0.0077742841094732285,
0.020875142887234688,
-0.038408827036619186,
0.0030450401827692986,
-0.05669703334569931,
-0.042073652148246765,
-0.018539713695645332,
-0.007967405952513218,
0.004881944973021746,
0.024809442460536957,
0.004446297883987427,
0.02784550003707409,
0.00014161346189212054,
-0.0189888346940279,
0.002935005584731698,
-0.003455986035987735,
0.014955728314816952,
-0.028869496658444405,
0.07254201918840408,
-0.027540098875761032,
-0.001184556633234024,
-0.006108045112341642,
0.019402027130126953,
-0.010284870862960815,
-0.00935968104749918,
0.0025038495659828186,
-0.008986910805106163,
-0.02155780792236328,
0.0008106633904390037,
-0.02974977344274521,
0.011129218153655529,
-0.00992557406425476,
-0.02240215428173542,
0.028132937848567963,
0.06064929813146591,
0.011946617625653744,
-0.0041094571352005005,
0.010159116238355637,
0.0010391536634415388,
-0.02586936764419079,
0.02581547386944294,
0.011030411347746849,
-0.028815602883696556,
-0.009530346840620041,
0.021180545911192894,
0.011668163351714611,
-0.0025173230096697807,
0.051918383687734604,
0.021270370110869408,
0.0021097457502037287,
-0.012377774342894554,
0.007033234462141991,
-0.02489926666021347,
-0.006575131323188543,
-0.06320030242204666,
-0.001983991824090481,
0.012728088535368443,
0.011659180745482445,
0.012638264335691929,
0.0469241589307785,
-0.04534325376152992,
-0.005313101224601269,
0.005739766173064709,
0.05342743173241615,
-0.005964326672255993,
0.058098290115594864,
0.023012958467006683,
0.029085075482726097,
-0.05472090095281601,
0.018485819920897484,
-0.003184267785400152,
-0.022294364869594574,
-0.02574361488223076,
-0.033935580402612686,
0.029929421842098236,
-0.028204796835780144,
-0.02220454066991806,
0.012198125943541527,
-0.01977928727865219,
-0.006664955522865057,
0.003366161836311221,
-0.012593352235853672,
0.0018660976784303784,
0.00563197722658515,
-0.02556396648287773,
0.021773384883999825,
0.010365712456405163,
0.020479917526245117,
-0.006804182659834623,
0.010024379938840866,
-0.03436673805117607,
0.014326958917081356,
-0.01096753403544426,
-0.0070691644214093685,
-0.008627614006400108,
0.00017150807252619416,
0.00496278703212738,
0.004495700821280479,
0.025959191843867302,
0.005838572513312101,
0.01172205712646246,
0.015234183520078659,
-0.005753239616751671,
-0.003316758433356881,
0.003512126160785556,
-0.0029709353111684322,
0.05418195575475693,
-0.0012496791314333677,
-0.0027126907370984554,
0.001838027616031468,
-0.005816116463392973,
-0.012629281729459763,
0.030037211254239082,
-0.0204978808760643,
0.010320800356566906,
-0.021575771272182465,
0.03147439658641815,
0.04433722421526909,
0.052924416959285736,
0.010293852537870407,
-0.002125465078279376,
-0.004075773060321808,
-0.06646990776062012,
0.04541511461138725,
0.01838701218366623,
-0.034187089651823044,
-0.01800076849758625,
0.020641600713133812,
-0.06151160970330238,
0.03869626298546791,
-0.01139869075268507,
-0.015288078226149082,
-0.03733093664050102,
-0.05188245698809624,
0.01498267613351345,
0.002256833016872406,
-0.036630306392908096,
-0.036163222044706345,
0.07516488432884216,
-0.024611828848719597,
0.0024387268349528313,
-0.0006360675906762481,
0.025581931695342064,
-0.007958423346281052,
0.020138584077358246,
-0.03970229625701904,
-0.01540484931319952,
-0.006696393713355064,
0.03474399819970131,
-0.02418067306280136,
-0.03934299945831299,
-0.029839597642421722,
-0.0032516359351575375,
-0.019150517880916595,
-0.012368791736662388,
-0.018557678908109665,
-0.019204413518309593,
0.05353521928191185,
-0.015916846692562103,
0.030576156452298164,
-0.01575516350567341,
0.004908892326056957,
0.00248139351606369,
0.041498780250549316,
0.015674322843551636,
0.005133452825248241,
0.003586231032386422,
0.006696393713355064,
-0.04954702779650688,
0.007657512556761503,
0.02455793507397175,
-0.04696008935570717,
0.00553317042067647,
-0.003224688582122326,
0.0021849735639989376,
-0.0004190860199742019,
0.055008336901664734,
-0.01314128004014492,
-0.007203900720924139,
-0.04530732333660126,
-0.0026183752343058586,
0.04275631904602051,
-0.002497112611308694,
-0.020138584077358246,
0.03963043540716171,
-0.022042857483029366,
0.07243423163890839,
-0.06154754012823105,
0.02378544770181179,
0.05939175933599472,
-0.03093545325100422,
-0.036558449268341064,
-0.011928653344511986,
-0.05051712691783905,
-0.012422686442732811,
0.008771332912147045,
-0.013051455840468407,
-0.02497112564742565,
-0.023803411051630974,
-0.008537789806723595,
0.044121645390987396,
-0.03573206439614296,
0.019222378730773926,
0.04760682210326195,
0.0027194274589419365,
-0.008012318052351475,
0.010859745554625988
] |
Recently, with the rapid deployment of service APIs, personalized service
recommendations have played a paramount role in the growth of the e-commerce
industry. Quality-of-Service (QoS) parameters determining the service
performance, often used for recommendation, fluctuate over time. Thus, the QoS
prediction is essential to identify a suitable service among functionally
equivalent services over time. The contemporary temporal QoS prediction methods
hardly achieved the desired accuracy due to various limitations, such as the
inability to handle data sparsity and outliers and capture higher-order
temporal relationships among user-service interactions. Even though some recent
recurrent neural-network-based architectures can model temporal relationships
among QoS data, prediction accuracy degrades due to the absence of other
features (e.g., collaborative features) to comprehend the relationship among
the user-service interactions. This paper addresses the above challenges and
proposes a scalable strategy for Temporal QoS Prediction using Multi-source
Collaborative-Features (TPMCF), achieving high prediction accuracy and faster
responsiveness. TPMCF combines the collaborative-features of users/services by
exploiting user-service relationship with the spatio-temporal auto-extracted
features by employing graph convolution and transformer encoder with multi-head
self-attention. We validated our proposed method on WS-DREAM-2 datasets.
Extensive experiments showed TPMCF outperformed major state-of-the-art
approaches regarding prediction accuracy while ensuring high scalability and
reasonably faster responsiveness. | [
-0.027002615854144096,
-0.019122475758194923,
-0.012616980820894241,
-0.008655020967125893,
0.019122475758194923,
-0.007214706856757402,
-0.02929661236703396,
0.013711445033550262,
-0.05505591630935669,
0.007998342625796795,
0.05418034642934799,
-0.018947361037135124,
-0.020891128107905388,
-0.05838308855891228,
-0.00045009833411313593,
0.04255276173353195,
-0.006601806730031967,
-0.02355286478996277,
-0.0017631815280765295,
0.0033709490671753883,
-0.056386787444353104,
-0.0010156625648960471,
0.020733525976538658,
-0.002051025629043579,
0.05519600957632065,
0.03824495151638985,
0.027457913383841515,
-0.02040080912411213,
-0.05418034642934799,
0.041992396116256714,
0.02339526265859604,
0.02574179321527481,
0.04370851442217827,
-0.0515536330640316,
-0.04297303408384323,
-0.0506780631840229,
0.056141626089811325,
0.058873407542705536,
0.018106812611222267,
0.03764956071972847,
-0.058768339455127716,
0.004487302619963884,
-0.01308103371411562,
-0.014009139500558376,
0.032711341977119446,
-0.041992396116256714,
-0.007985209114849567,
0.002313697012141347,
0.04630020633339882,
-0.013799002394080162,
0.011662608943879604,
-0.06570286303758621,
-0.015331251546740532,
0.0003442089364398271,
-0.03708919510245323,
0.02299249917268753,
0.014788397587835789,
0.018492063507437706,
0.07564935088157654,
-0.008817002177238464,
-0.02882380411028862,
0.012179195880889893,
-0.03223853185772896,
-0.047385912388563156,
-0.021906791254878044,
-0.002812772523611784,
0.0029791309498250484,
-0.03838504105806351,
-0.006286601070314646,
-0.03957581892609596,
-0.08776725828647614,
-0.005419785622507334,
-0.012205462902784348,
-0.016863500699400902,
0.030277252197265625,
0.007464244496077299,
0.02591690793633461,
0.05439048260450363,
0.016749676316976547,
0.0005702157504856586,
0.007437977474182844,
0.07803090661764145,
0.04010116308927536,
0.04059148207306862,
0.05579139664769173,
-0.04640527442097664,
-0.022309554740786552,
-0.07242725044488907,
0.02617958001792431,
-0.024008162319660187,
-0.06363651901483536,
0.023640422150492668,
0.009246031753718853,
-0.007665625773370266,
-0.00041808525566011667,
0.01603170856833458,
-0.04055645689368248,
-0.0029090852476656437,
-0.08328433334827423,
0.0650724545121193,
-0.021941814571619034,
-0.041607145220041275,
0.01597917452454567,
-0.026774967089295387,
0.09042899310588837,
-0.029559284448623657,
-0.04283294454216957,
0.02602197602391243,
-0.02304503507912159,
0.07067611068487167,
0.029611818492412567,
-0.0008328871335834265,
0.010069068521261215,
-0.0026683032047003508,
-0.06843464821577072,
-0.0203307643532753,
-0.05768262967467308,
-0.02052338980138302,
0.019069941714406013,
-0.03440994769334793,
-0.024270834401249886,
0.039225589483976364,
0.0003617203619796783,
-0.0027821275871247053,
0.01569899171590805,
0.05789276957511902,
0.018001744523644447,
0.017730316147208214,
0.04384860768914223,
-0.01632940210402012,
-0.020943664014339447,
0.04370851442217827,
-0.04955733194947243,
-0.03813988342881203,
0.0036839658860117197,
0.0009516364661976695,
0.03211595118045807,
0.02012062631547451,
-0.005235916003584862,
-0.026477273553609848,
-0.01985795423388481,
-0.03208092972636223,
-0.003920370247215033,
-0.03764956071972847,
0.050818152725696564,
0.03218599781394005,
-0.024043185636401176,
0.0506780631840229,
0.012249241583049297,
0.017204973846673965,
-0.07459867000579834,
0.0023706089705228806,
0.007670003920793533,
-0.014709596522152424,
0.018299438059329987,
0.0230100117623806,
-0.018054278567433357,
0.038945406675338745,
-0.029734397307038307,
0.05526605620980263,
0.016022952273488045,
-0.01316859107464552,
0.0030579324811697006,
0.030872641131281853,
0.013790246099233627,
0.004244331270456314,
0.04409376531839371,
-0.013763979077339172,
-0.09323082119226456,
0.04868175834417343,
-0.0026989481411874294,
0.0228348970413208,
-0.014700840227305889,
0.00358984200283885,
0.0022655404172837734,
0.04104677960276604,
0.03173070028424263,
-0.018457040190696716,
-0.028140857815742493,
0.05505591630935669,
-0.013974116183817387,
0.027650538831949234,
0.02348282001912594,
0.014692084863781929,
0.06342637538909912,
0.019139986485242844,
0.0506780631840229,
0.06062455102801323,
0.003764956258237362,
-0.006273467559367418,
-0.0006205610698089004,
0.05957386642694473,
0.05859322473406792,
0.00048758371849544346,
-0.011084731668233871,
-0.02581183984875679,
-0.007836362347006798,
0.0692051500082016,
0.005840059835463762,
-0.0015180215705186129,
-0.0757894441485405,
-0.012152927927672863,
0.040311299264431,
-0.021556563675403595,
0.028123347088694572,
0.010900861583650112,
0.015760282054543495,
-0.0032812030985951424,
0.022502180188894272,
-0.02885882742702961,
-0.033306729048490524,
-0.05558126047253609,
-0.01991049014031887,
-0.008965848945081234,
-0.014744618907570839,
-0.004666794557124376,
-0.0037167996633797884,
-0.015252450481057167,
-0.01580405980348587,
-0.03743942454457283,
-0.013553841970860958,
0.02062845788896084,
0.03523298725485802,
0.003360004397109151,
0.010559388436377048,
-0.014735863544046879,
0.013781490735709667,
0.01285338494926691,
-0.024393413215875626,
0.026845013722777367,
0.017292531207203865,
-0.004583615344017744,
0.008427373133599758,
-0.042202532291412354,
-0.010673212818801403,
0.027738096192479134,
0.011224823072552681,
-0.0198929775506258,
-0.09028889983892441,
0.009035894647240639,
0.002269918331876397,
0.018964871764183044,
0.021276380866765976,
-0.0634964257478714,
0.04059148207306862,
-0.014665817841887474,
-0.02248466946184635,
0.06878487765789032,
0.02316761389374733,
0.007634981069713831,
-0.017852896824479103,
-0.05572135001420975,
-0.006816321983933449,
0.04658038914203644,
-0.015077335759997368,
0.021731676533818245,
0.01987546682357788,
0.007245351560413837,
-0.006304112728685141,
-0.062165554612874985,
0.030925175175070763,
-0.010480587370693684,
-0.03180074691772461,
0.08125300705432892,
-0.022064395248889923,
0.05291952192783356,
0.050608016550540924,
-0.0050564236007630825,
0.04559974744915962,
0.03726430982351303,
0.024813687428832054,
-0.059538841247558594,
-0.036248646676540375,
-0.02640722692012787,
0.00181899918243289,
-0.04307810217142105,
0.007315397262573242,
-0.05407527834177017,
0.07859127223491669,
-0.015016046352684498,
-0.007827606983482838,
0.004863798152655363,
0.029786933213472366,
-0.004500436130911112,
-0.04255276173353195,
-0.011058464646339417,
0.024270834401249886,
-0.008436128497123718,
-0.027492936700582504,
-0.041467051953077316,
-0.03733435645699501,
0.002963808597996831,
-0.06500240415334702,
-0.02286992035806179,
0.04073157161474228,
0.013658910989761353,
0.04409376531839371,
0.06132500618696213,
0.01156629528850317,
0.018457040190696716,
-0.02926158905029297,
0.042097464203834534,
-0.005292827729135752,
0.002102465368807316,
-0.02610953338444233,
-0.00142718106508255,
0.012774583883583546,
0.0399610698223114,
0.02579432725906372,
-0.015287472866475582,
0.03775462880730629,
-0.06265587359666824,
-0.009359856136143208,
0.0010205876315012574,
-0.009009627625346184,
0.07036089897155762,
0.01773907244205475,
-0.019542749971151352,
-0.029366659000515938,
-0.056281715631484985,
-0.0014151419745758176,
0.03201088309288025,
-0.11319384723901749,
0.044829245656728745,
-0.021539051085710526,
0.00020794816373381764,
0.014630794525146484,
0.04836655408143997,
0.041747234761714935,
0.004868175834417343,
0.0034585061948746443,
-0.04097673296928406,
-0.02885882742702961,
0.00026855411124415696,
0.06549272686243057,
0.016075488179922104,
-0.027405379340052605,
0.005100202281028032,
-0.021188823506236076,
-0.005647434387356043,
0.02344779670238495,
-0.022099416702985764,
0.00883451383560896,
0.05169372260570526,
0.019332611933350563,
0.008331060409545898,
-0.02323766052722931,
0.022029371932148933,
-0.008453640155494213,
0.011522517539560795,
0.001029343344271183,
-0.004570481833070517,
0.0115925632417202,
0.013054766692221165,
0.06839962303638458,
-0.03507538139820099,
0.0002268276730319485,
-0.003975093364715576,
-0.004833152983337641,
0.0037299334071576595,
0.03257124871015549,
-0.027895698323845863,
-0.05214902013540268,
0.07515903562307358,
-0.035828374326229095,
-0.0017434811452403665,
0.006610562559217215,
0.006085219793021679,
0.016460739076137543,
-0.018824780359864235,
-0.038560155779123306,
0.03167816624045372,
0.010209159925580025,
0.058558203279972076,
-0.07943181693553925,
-0.002764616161584854,
0.013580108992755413,
0.004693061579018831,
0.004102051258087158,
0.04591495543718338,
0.0001908471604110673,
-0.06521254032850266,
0.010568144731223583,
0.050082672387361526,
0.008002720773220062,
0.015191160142421722,
0.02040080912411213,
-0.009587504900991917,
-0.04847162216901779,
0.028000766411423683,
0.00359203084371984,
0.0013921582140028477,
-0.02311507984995842,
-0.059328705072402954,
-0.02570676989853382,
-0.05425039306282997,
0.07536917179822922,
0.06566783785820007,
0.04139700531959534,
-0.033727001398801804,
-0.027492936700582504,
0.03989102318882942,
-0.03535556420683861,
0.0672788918018341,
-0.018562110140919685,
-0.018316948786377907,
0.03849010914564133,
0.004454468376934528,
0.03950577229261398,
0.020768549293279648,
-0.025356542319059372,
0.009552481584250927,
-0.004798130132257938,
-0.018632154911756516,
0.027773119509220123,
0.02264227159321308,
-0.0284560639411211,
-0.003769333939999342,
-0.024253321811556816,
-0.03726430982351303,
-0.0099464887753129,
0.016390692442655563,
0.061745282262563705,
0.022414622828364372,
0.008120923303067684,
0.05845313519239426,
-0.006820699665695429,
-0.010524366050958633,
-0.0012608225224539638,
-0.0397859551012516,
0.07592953741550446,
-0.027230264618992805,
0.029909512028098106,
-0.06395172327756882,
-0.00654051685705781,
0.01573401503264904,
-0.019402658566832542,
-0.007306641899049282,
0.007311019580811262,
-0.0012892786180600524,
-0.039295636117458344,
-0.02295747771859169,
-0.0022206674329936504,
0.0007639358518645167,
-0.02838601917028427,
-0.02556667849421501,
0.009596260264515877,
-0.012257996946573257,
0.0032812030985951424,
-0.04647532105445862,
-0.04871678352355957,
0.027738096192479134,
-0.0410117544233799,
0.0011853044852614403,
0.02031325176358223,
-0.021731676533818245,
-0.030697526410222054,
-0.004666794557124376,
0.031152823939919472,
-0.018667178228497505,
-0.041992396116256714,
0.04934719204902649,
0.03775462880730629,
-0.013098545372486115,
-0.018351972103118896,
0.05834806710481644,
-0.059643909335136414,
-0.014805909246206284,
0.009114696644246578,
0.032711341977119446,
0.025181427597999573,
0.002161566400900483,
0.04616011306643486,
0.0650724545121193,
0.02290494367480278,
0.011881501413881779,
0.019560260698199272,
-0.05263934284448624,
-0.020803572610020638,
0.0010862555354833603,
0.025251474231481552,
0.018106812611222267,
0.04633522778749466,
0.002161566400900483,
0.0043428330682218075,
0.02549663372337818,
-0.0016165233682841063,
-0.014087940566241741,
-0.015278717502951622,
0.007993965409696102,
-0.03824495151638985,
-0.0406615287065506,
0.03248369321227074,
-0.01596166379749775,
-0.019472703337669373,
-0.02045334316790104,
0.011110998690128326,
-0.016040464863181114,
0.062130533158779144,
-0.05729737877845764,
0.008247881196439266,
0.016942303627729416,
0.021626608446240425,
0.032868944108486176,
-0.03419981151819229,
0.02022569440305233,
0.02271231636404991,
-0.04129193723201752,
-0.05123842880129814,
0.009640038944780827,
0.02616206742823124,
0.07810094952583313,
0.030224718153476715,
0.02059343457221985,
-0.029454214498400688,
0.050853174179792404,
0.009657550603151321,
-0.03691408038139343,
0.006273467559367418,
0.003180512459948659,
0.0073504201136529446,
0.023868070915341377,
-0.014017894864082336,
0.03992604836821556,
-0.042132485657930374,
0.010252938605844975,
0.026529807597398758,
0.024866221472620964,
0.04059148207306862,
-0.059258658438920975,
-0.019367635250091553,
0.014840931631624699,
-0.018632154911756516,
-0.015515121631324291,
-0.009464925155043602,
-0.04552970454096794,
0.027650538831949234,
0.018667178228497505,
-0.04976746812462807,
-0.061955418437719345,
-0.018842292949557304,
0.030539924278855324,
-0.038455087691545486,
-0.007398576475679874,
0.018334461376070976,
0.014893466606736183,
0.018264414742588997,
-0.056421808898448944,
-0.015173649415373802,
-0.011925280094146729,
0.005573010537773371,
-0.05288450047373772,
0.007258485537022352,
-0.003173945704475045,
-0.010244183242321014,
-0.04388362914323807,
-0.04269285127520561,
-0.03363944590091705,
0.002420954406261444,
0.018579620867967606,
-0.02271231636404991,
0.021521540358662605,
0.03747444599866867,
0.01175016537308693,
0.0174764022231102,
0.029314124956727028,
0.03715924173593521,
0.025321519002318382,
0.017660271376371384,
-0.016740921884775162,
-0.018649667501449585,
-0.02040080912411213,
-0.015042313374578953,
0.018334461376070976,
-0.010664457455277443,
0.022379599511623383,
0.03528552129864693,
-0.026950081810355186,
0.0016099566128104925,
-0.006269089877605438,
-0.0018704390386119485,
-0.01146122720092535,
0.041957370936870575,
0.056316740810871124,
0.04696564003825188,
0.007941430434584618,
0.00985017605125904,
-0.05495084822177887,
-0.0021134100388735533,
-0.012923430651426315,
0.023815536871552467,
0.058663271367549896,
-0.013965360820293427,
-0.01582157239317894,
-0.009246031753718853,
0.006706875283271074,
0.02624962478876114,
-0.031047755852341652,
0.06818948686122894,
-0.05477573350071907,
0.0003420200082473457,
0.04517947509884834,
-0.0006670758011750877,
0.039225589483976364,
-0.01973537541925907,
0.018071789294481277,
0.06983555853366852,
0.009333589114248753,
0.045004360377788544,
0.03379704803228378,
-0.0025851239915937185,
0.01315983571112156,
0.06128998473286629,
-0.002058686688542366,
0.03433990105986595,
-0.00657991785556078,
0.059013500809669495,
0.00021985045168548822,
-0.0392606146633625,
-0.02614455670118332,
0.038560155779123306,
-0.007709404453635216,
0.078521229326725,
-0.03467262163758278,
-0.036038510501384735,
0.04059148207306862,
0.010419297032058239,
-0.03204590454697609,
-0.018562110140919685,
-0.0021746999118477106,
-0.050713084638118744,
-0.012958453968167305,
-0.019385145977139473,
-0.03418229892849922,
0.012494401074945927,
-0.005511720664799213,
0.004340644460171461,
-0.01311605703085661,
0.008633132092654705,
0.0411868691444397,
0.03982098028063774,
-0.027930721640586853,
-0.004863798152655363,
0.07085122168064117,
0.0035219851415604353,
0.010393030010163784,
-0.013930337503552437,
-0.010734503157436848,
0.0449693389236927,
0.06069459766149521,
0.0035613859072327614,
0.021574074402451515,
0.01768653839826584,
0.06377660483121872,
-0.018194369971752167,
-0.006720008794218302,
0.038455087691545486,
0.023640422150492668,
0.042202532291412354,
-0.007013325579464436,
0.017931697890162468,
0.027475424110889435,
0.024796176701784134,
-0.01016538217663765,
0.008646265603601933,
-0.024761153385043144,
-0.00324399140663445,
0.031082777306437492,
0.0002547364856582135,
0.02027822844684124,
-0.018229393288493156,
-0.024428436532616615,
-0.024586038663983345,
0.05488080158829689,
0.011181044392287731,
-0.03218599781394005,
0.032711341977119446,
0.02917403355240822,
-0.002552289981395006,
-0.0026967593003064394,
0.0024975668638944626,
-0.026774967089295387,
-0.04997760429978371,
0.018579620867967606,
0.024603551253676414,
-0.014394390396773815,
-0.012564446777105331,
-0.018842292949557304,
0.026634875684976578,
0.02866620197892189,
-0.02055841125547886,
-0.01968284137547016,
0.0173012875020504,
0.009175986051559448,
0.02040080912411213,
0.04108180105686188,
0.005192137323319912,
-0.002644225023686886,
0.030504900962114334,
-0.008720689453184605,
-0.007170928176492453,
-0.019542749971151352,
-0.014718351885676384,
0.005542365834116936,
-0.0012936564162373543,
0.0392606146633625,
0.006037063430994749,
-0.018702201545238495,
-0.04391865059733391,
-0.03202839568257332,
0.030907664448022842,
-0.027265287935733795,
0.00590134970843792,
0.013982872478663921,
0.0199805349111557,
0.03544312343001366,
-0.030767573043704033,
0.0230975691229105,
-0.04917207732796669,
0.02304503507912159,
0.016784699633717537,
0.009622527286410332,
0.041957370936870575,
-0.03239613398909569,
-0.05460061877965927,
0.017187463119626045,
0.01624184660613537,
0.02630215883255005,
-0.053374819457530975,
-0.006115864962339401,
0.041747234761714935,
-0.027177730575203896,
-0.03761453926563263,
-0.005699968431144953,
0.00016717937251087278,
0.025461610406637192,
-0.008742578327655792,
0.018334461376070976,
-0.017047371715307236,
0.006842589005827904,
0.024918757379055023,
-0.0287187360227108,
-0.0163118913769722,
-0.022659782320261,
0.00020192860392853618,
0.041887328028678894,
0.01709114946424961,
0.0030820106621831656,
-0.024200787767767906,
-0.0454946793615818,
-0.014193009585142136,
-0.02842104062438011,
0.05526605620980263,
-0.05134349688887596,
-0.08034241199493408,
0.06013423204421997,
-0.005888216197490692,
0.005117713939398527,
0.001774126198142767,
-0.04094171151518822,
-0.005380385089665651,
0.04679052531719208,
-0.021083755418658257,
-0.013982872478663921,
0.02901642955839634,
-0.011093487031757832,
-0.07620971649885178,
0.0009034800459630787,
0.00820847973227501,
-0.032921478152275085,
-0.0011918713571503758,
0.039190568029880524,
0.03778965398669243,
-0.04808637127280235,
0.02043583244085312,
0.016522029414772987,
0.01428056601434946,
-0.0024143876507878304,
-0.016110509634017944,
0.027387866750359535,
0.0014085752191022038,
0.02612704411149025,
-0.02840352989733219,
0.03138047084212303,
-0.04395367577672005,
0.0033643823117017746,
0.011942790821194649,
-0.06160518899559975,
0.021048732101917267,
0.035495657473802567,
0.0021965892519801855,
-0.012415600009262562,
-0.011977814137935638,
-0.005682457238435745,
0.030102137476205826,
0.009543726220726967,
-0.018737222999334335,
0.021801723167300224,
-0.009823909029364586,
-0.013947849161922932,
0.013588865287601948,
-0.004579237196594477,
0.030102137476205826,
0.03435741364955902,
-0.035845886915922165,
-0.01585659384727478,
-0.01603170856833458,
-0.03813988342881203,
-0.009184742346405983,
0.017677782103419304,
-0.0038634580560028553,
0.016408205032348633,
0.000683492748066783,
-0.01564645767211914,
0.024568527936935425,
0.0003912708780262619,
-0.04325321689248085,
0.012109150178730488,
-0.04612509161233902,
-0.024796176701784134,
-0.0053322287276387215,
-0.014709596522152424,
-0.006317246239632368,
0.003767145099118352,
-0.027002615854144096,
-0.0015869728522375226,
0.03129291534423828,
0.04248271510004997,
0.05397021025419235,
-0.011102243326604366,
0.021749189123511314,
-0.019297588616609573,
-0.018141835927963257,
-0.00016854745626915246,
-0.041712213307619095,
0.00990271009504795,
0.03229106590151787,
0.047946278005838394,
0.007162172347307205,
0.01759898103773594,
-0.009534970857203007,
0.012257996946573257,
-0.041361983865499496,
-0.00043669113074429333,
0.007801339495927095,
-0.0017861652886494994,
-0.05228911340236664,
-0.0029375413432717323,
0.025198940187692642,
0.053444866091012955,
0.0020816705655306578,
0.033079080283641815,
0.04297303408384323,
-0.018562110140919685,
-0.022064395248889923,
0.0340772308409214,
-0.03127540275454521,
0.029314124956727028,
0.047911256551742554,
-0.0023202637676149607,
0.027475424110889435,
0.012319287285208702,
-0.0054854536429047585,
-0.008120923303067684,
0.017415111884474754,
-0.005481075961142778,
0.005266560707241297,
-0.013755223713815212,
-0.0014446924906224012,
-0.03680901229381561,
-0.02344779670238495,
0.010349251329898834,
-0.022344578057527542,
0.007459866814315319,
0.014928488992154598,
0.008427373133599758,
-0.015418808907270432,
-0.008024610579013824,
0.019472703337669373,
-0.02850859798491001,
0.036038510501384735,
0.039155542850494385,
0.038875360041856766,
0.030820107087492943,
0.03502284735441208,
-0.04682554677128792,
-0.041957370936870575,
0.02293996512889862,
-0.016145532950758934,
-0.039295636117458344,
-0.02047085575759411,
0.033079080283641815,
0.005971395410597324,
-0.017984231933951378,
0.027965744957327843,
0.01759898103773594,
-0.019472703337669373,
-0.03458506241440773,
-0.007915163412690163,
0.03849010914564133,
0.00584881566464901,
-0.042342621833086014,
-0.056351762264966965,
-0.03768458589911461,
0.040311299264431,
-0.05439048260450363,
0.04328824207186699,
-0.03950577229261398,
0.014376879669725895,
-0.05666697025299072,
0.0087382011115551,
0.018001744523644447,
-0.002140771597623825,
-0.03428736701607704,
0.00285655097104609,
-0.024866221472620964,
0.0014228032669052482,
0.0038218682166188955,
0.01973537541925907,
-0.036178603768348694,
0.016539540141820908,
0.019139986485242844,
0.035653259605169296,
0.045144449919462204,
-0.029471727088093758,
0.019157497212290764,
-0.01608424261212349,
-0.008225991390645504,
-0.0024778665974736214,
-0.0315730981528759,
-0.036423761397600174,
0.016399448737502098,
-0.00584881566464901,
-0.024743642657995224,
0.023517843335866928,
-0.009648794308304787,
-0.049837514758110046,
-0.022397112101316452,
-0.004758729599416256,
0.025601701810956,
0.000046480519813485444,
-0.004955733194947243,
-0.04111682251095772,
0.0069389017298817635,
-0.00010486333485459909,
-0.052954547107219696,
0.038805317133665085,
0.026634875684976578,
0.03539058938622475,
0.030504900962114334,
-0.02899891883134842,
0.009193497709929943,
0.032816410064697266,
-0.008190969005227089,
0.02906896360218525,
-0.04328824207186699,
-0.026494784280657768,
0.0064792269840836525,
-0.013518819585442543,
0.012398088350892067,
-0.004552970174700022,
0.00422900915145874,
-0.015094847418367863,
-0.005257804878056049,
-0.04665043577551842,
-0.016180556267499924,
-0.04367349296808243,
0.0020871427841484547,
-0.024183277040719986,
0.008085899986326694,
0.007648114580661058,
-0.026634875684976578,
0.0009472586098127067,
-0.003440994769334793,
-0.00883451383560896,
0.019437680020928383,
0.009211009368300438,
-0.01977039873600006,
-0.008501796051859856,
0.013186102733016014,
0.07761063426733017,
-0.008528064005076885,
0.008134056814014912,
0.007792583666741848,
0.005170247983187437,
-0.05670199170708656,
-0.0035394965671002865,
-0.0006583200884051621,
-0.04885687306523323,
-0.013396239839494228,
-0.02891136147081852,
0.006080842111259699,
0.039050474762916565,
-0.00437785591930151,
-0.012809607200324535,
0.006842589005827904,
0.01973537541925907,
-0.014149230904877186,
0.021451493725180626,
0.018246904015541077,
-0.036178603768348694,
-0.02610953338444233,
-0.024165764451026917,
0.05736742541193962,
0.018684688955545425,
-0.03353437781333923,
0.0013308682246133685,
0.021293891593813896,
-0.03645878657698631,
0.01007782481610775,
-0.036178603768348694,
0.001753331394866109,
-0.020838594064116478,
-0.02913901023566723,
-0.0284560639411211,
0.02334272861480713,
-0.03514542803168297,
0.0035197963006794453,
0.003975093364715576,
-0.018439529463648796,
0.019507726654410362,
0.008817002177238464,
0.017782852053642273,
0.004093295428901911
] |
The challenges of using inadequate online recruitment systems can be
addressed with machine learning and software engineering techniques.
Bi-directional personalization reinforcement learning-based architecture with
active learning can get recruiters to recommend qualified applicants and also
enable applicants to receive personalized job recommendations. This paper
focuses on how machine learning techniques can enhance the recruitment process
in the travel nursing industry by helping speed up data acquisition using a
multi-model data service and then providing personalized recommendations using
bi-directional reinforcement learning with active learning. This need was
especially evident when trying to respond to the overwhelming needs of
healthcare facilities during the COVID-19 pandemic. The need for traveling
nurses and other healthcare professionals was more evident during the lockdown
period. A data service was architected for job feed processing using an
orchestration of natural language processing (NLP) models that synthesize
job-related data into a database efficiently and accurately. The multi-model
data service provided the data necessary to develop a bi-directional
personalization system using reinforcement learning with active learning that
could recommend travel nurses and healthcare professionals to recruiters and
provide job recommendations to applicants using an internally developed smart
match score as a basis. The bi-directional personalization reinforcement
learning-based architecture with active learning combines two personalization
systems - one that runs forward to recommend qualified candidates for jobs and
another that runs backward and recommends jobs for applicants. | [
-0.008989688940346241,
-0.008517788723111153,
-0.02965417504310608,
-0.04926632344722748,
-0.01403429638594389,
0.015081913210451603,
0.014591137878596783,
-0.0021896143443882465,
-0.05923284590244293,
0.013279256410896778,
0.04511360824108124,
-0.04658593609929085,
-0.020725833252072334,
0.0029894844628870487,
0.021424245089292526,
0.07021866738796234,
0.008560259826481342,
0.025350449606776237,
0.0386580191552639,
0.008819804526865482,
-0.0008541384013369679,
-0.021122228354215622,
-0.01831914484500885,
0.04964384436607361,
0.0317305326461792,
-0.004058337304741144,
0.008314872160553932,
-0.03571336716413498,
-0.0969470664858818,
0.0035203713923692703,
0.05715648829936981,
0.025576962158083916,
0.042621977627277374,
-0.07259704172611237,
-0.014383501373231411,
-0.03467518836259842,
0.025105062872171402,
0.03820499777793884,
0.02567134238779545,
0.012410961091518402,
0.028767002746462822,
-0.0025388202629983425,
0.0011166326003149152,
0.01416642777621746,
0.021008973941206932,
-0.010834815911948681,
-0.02703041210770607,
-0.012156135402619839,
0.005091797560453415,
-0.006115819793194532,
0.01394935417920351,
-0.03569449111819267,
0.05749625340104103,
-0.0027842079289257526,
-0.02319858781993389,
0.014704393222928047,
0.015648193657398224,
-0.02642638050019741,
0.057458505034446716,
-0.0022769158240407705,
-0.022198161110281944,
0.03458080813288689,
-0.017384784296154976,
-0.011693674139678478,
0.023821495473384857,
-0.03854476287961006,
-0.0331839844584465,
0.0037539617624133825,
-0.018422963097691536,
0.00031823734752833843,
-0.08728256076574326,
-0.009263390675187111,
0.012637472711503506,
0.03550573065876961,
0.004836971405893564,
0.01673356257379055,
-0.0011744402581825852,
0.03512820973992348,
-0.028162971138954163,
-0.025897853076457977,
0.0787506178021431,
0.001991416560485959,
0.01422305591404438,
0.026577388867735863,
0.06383858621120453,
0.023462850600481033,
0.027483437210321426,
-0.07882612198591232,
0.0022438829764723778,
-0.023066455498337746,
-0.04111189767718315,
-0.018507905304431915,
0.018498467281460762,
-0.004322601016610861,
-0.0114671615883708,
0.009631471708416939,
-0.05696772783994675,
-0.023123083636164665,
-0.026728397235274315,
0.023670487105846405,
-0.021650755777955055,
-0.0409608893096447,
0.004497203975915909,
0.04035685956478119,
0.005625043995678425,
-0.036770422011613846,
-0.09558799862861633,
0.00763061735779047,
-0.014081485569477081,
0.12669561803340912,
-0.05738300085067749,
-0.022141532972455025,
0.008621606975793839,
0.020782461389899254,
-0.0704074278473854,
0.014638327993452549,
-0.05341904237866402,
-0.016431545838713646,
0.01693175919353962,
-0.04296174645423889,
0.022254787385463715,
0.08547046780586243,
0.003909688908606768,
-0.011570979841053486,
-0.023500602692365646,
0.05613718554377556,
-0.05341904237866402,
0.000832313031423837,
0.056212689727544785,
0.04209344834089279,
0.04722771793603897,
0.03597763180732727,
-0.023349596187472343,
0.019970793277025223,
0.009985396638512611,
0.002642638050019741,
0.04247096925973892,
-0.011533227749168873,
0.018224764615297318,
-0.042395465075969696,
-0.03331611678004265,
-0.05002136528491974,
-0.04318825900554657,
-0.04198019579052925,
0.028144096955657005,
-0.012779043056070805,
-0.003956878557801247,
0.026954909786581993,
-0.01091975811868906,
0.0033481281716376543,
-0.08479093015193939,
0.021877268329262733,
0.012231639586389065,
0.06753828376531601,
0.06127145141363144,
-0.061950989067554474,
-0.011882433667778969,
0.019782034680247307,
0.016941197216510773,
0.024387774989008904,
0.042508721351623535,
-0.05085190758109093,
0.006507496349513531,
0.03622301667928696,
0.05613718554377556,
0.06946363300085068,
-0.014326874166727066,
-0.01930069550871849,
-0.0833563581109047,
0.05602392926812172,
-0.0738428607583046,
-0.018168136477470398,
-0.021669631823897362,
-0.0023712958209216595,
-0.006332893390208483,
-0.01635604165494442,
0.03225906193256378,
-0.04892655834555626,
-0.017724551260471344,
-0.0072814119048416615,
-0.06806680560112,
0.0648956447839737,
0.028521616011857986,
0.027068164199590683,
0.05587292090058327,
0.02769107185304165,
0.03291971981525421,
-0.01051392499357462,
0.032183557748794556,
0.017545228824019432,
-0.007545675616711378,
-0.0320136733353138,
0.04639717563986778,
0.001151435193605721,
-0.0051437062211334705,
0.004695401526987553,
0.0018946771742776036,
0.024916302412748337,
0.03703468665480614,
-0.016082340851426125,
-0.046812448650598526,
-0.07406937330961227,
-0.014043734408915043,
0.04590639844536781,
0.022179285064339638,
-0.010627180337905884,
-0.0011673617409542203,
-0.013826659880578518,
0.007927914150059223,
-0.062441762536764145,
-0.023217463865876198,
-0.03193816915154457,
-0.013392512686550617,
0.009310580790042877,
-0.005365499295294285,
-0.022670060396194458,
0.006818950176239014,
0.006828388199210167,
-0.012694100849330425,
-0.008720706216990948,
-0.014128675684332848,
0.048247020691633224,
0.05825129523873329,
-0.030371462926268578,
0.016054026782512665,
-0.015242359600961208,
-0.012524217367172241,
-0.012797919102013111,
0.0068944538943469524,
-0.03880902752280235,
-0.0023146679159253836,
0.020027421414852142,
0.016261663287878036,
0.023727115243673325,
0.01091975811868906,
-0.023179711773991585,
0.02048044465482235,
-0.04915307089686394,
-0.029937313869595528,
-0.03193816915154457,
-0.020669205114245415,
-0.07048293203115463,
-0.01959327422082424,
-0.03997933864593506,
0.07338983565568924,
-0.05787377431988716,
-0.012514779344201088,
0.0853949636220932,
0.02746456116437912,
0.047642990946769714,
-0.003475541016086936,
-0.012552531436085701,
-0.017318718135356903,
-0.009499340318143368,
-0.022311415523290634,
0.04975710064172745,
0.048247020691633224,
-0.03926205262541771,
0.01906474679708481,
-0.05319252982735634,
0.0016787830973044038,
-0.02789870835840702,
0.003671379294246435,
0.03324061259627342,
-0.004690682515501976,
-0.03586437553167343,
0.0833563581109047,
0.03269320726394653,
0.02419901452958584,
0.009268109686672688,
-0.0021046726033091545,
-0.029012391343712807,
-0.021820640191435814,
-0.03593987971544266,
0.005922340787947178,
-0.05466485768556595,
0.03237231820821762,
-0.042017947882413864,
0.07055843621492386,
0.027936460450291634,
-0.015987960621714592,
-0.004214064218103886,
0.04167817905545235,
0.03101324662566185,
-0.0660659521818161,
-0.032126929610967636,
-0.004086650907993317,
-0.03531697019934654,
-0.035675615072250366,
-0.022953199222683907,
-0.015506623312830925,
-0.04073438048362732,
0.002166019519791007,
0.013194314204156399,
0.05738300085067749,
0.02757781557738781,
-0.01051392499357462,
-0.003716209903359413,
-0.03505270555615425,
-0.016054026782512665,
0.007172875106334686,
-0.008692392148077488,
0.021273236721754074,
0.02472754195332527,
0.027502313256263733,
-0.012958364561200142,
-0.008730144239962101,
0.042017947882413864,
-0.042131200432777405,
-0.027181420475244522,
0.030333710834383965,
0.05919509381055832,
0.015487747266888618,
0.005006855353713036,
0.02299095131456852,
0.050814155489206314,
0.023632735013961792,
0.009268109686672688,
-0.05224873125553131,
-0.056212689727544785,
-0.016403231769800186,
-0.025690218433737755,
-0.09422892332077026,
0.086527518928051,
0.008749019354581833,
-0.02310420759022236,
-0.016639182344079018,
0.05874206870794296,
0.005507069174200296,
-0.03597763180732727,
-0.020820213481783867,
0.003598234849050641,
-0.042395465075969696,
-0.020348314195871353,
-0.010023148730397224,
-0.00039698558975942433,
-0.010023148730397224,
0.031428515911102295,
0.006068629678338766,
-0.01048561092466116,
-0.018649475648999214,
-0.008088360540568829,
-0.022349167615175247,
-0.004870004486292601,
0.03380689024925232,
-0.024425527080893517,
0.000941439822781831,
0.03386351838707924,
0.002254500752314925,
-0.04511360824108124,
0.0012729493901133537,
-0.03139076754450798,
0.018621161580085754,
0.024217890575528145,
-0.0005338364862836897,
-0.04318825900554657,
-0.0025105061940848827,
0.008550821803510189,
-0.013968230225145817,
0.027426809072494507,
0.0380728654563427,
-0.022896571084856987,
-0.08403589576482773,
0.013534082099795341,
-0.022368043661117554,
0.0032112773042172194,
0.008933060802519321,
0.02925777994096279,
0.03873352333903313,
-0.0131282489746809,
0.008253525011241436,
0.04024360328912735,
0.015903018414974213,
-0.017299842089414597,
-0.05492912232875824,
-0.006691537331789732,
0.008612168952822685,
-0.014562823809683323,
-0.007234221789985895,
0.051908962428569794,
0.030314834788441658,
-0.029238903895020485,
-0.060478661209344864,
0.02287769503891468,
0.03616638854146004,
0.025199441239237785,
0.001905294950120151,
-0.005851556081324816,
-0.04194244369864464,
0.05334353819489479,
-0.004289567936211824,
-0.029125647619366646,
-0.0024727543350309134,
-0.04956834018230438,
-0.012863985262811184,
0.010079776868224144,
0.03267433121800423,
-0.029767431318759918,
0.029729679226875305,
-0.013232066296041012,
-0.03873352333903313,
0.02980518341064453,
-0.00927754770964384,
0.048737797886133194,
-0.006134695839136839,
-0.029238903895020485,
-0.005525945220142603,
-0.025482581928372383,
-0.0018215327290818095,
0.02227366343140602,
-0.006247951649129391,
-0.02074470929801464,
-0.03499607741832733,
0.014845963567495346,
-0.009135977365076542,
0.005856274627149105,
0.025048434734344482,
-0.00452787708491087,
0.02085796557366848,
-0.027370180934667587,
-0.02468978986144066,
0.035675615072250366,
0.038186121731996536,
0.009145415388047695,
-0.015053599141538143,
0.020178429782390594,
0.02823847532272339,
0.00383654423058033,
-0.014374063350260258,
-0.049832604825496674,
0.0043579936027526855,
0.019404513761401176,
0.004074853379279375,
0.00709737092256546,
0.011335030198097229,
0.01927238143980503,
0.03646840527653694,
0.030975494533777237,
-0.05492912232875824,
-0.0068472642451524734,
-0.04337701573967934,
0.01174086332321167,
-0.035411350429058075,
-0.02544482983648777,
-0.04786950349807739,
0.028276227414608,
0.024387774989008904,
-0.0037256479263305664,
0.005606167949736118,
-0.009093506261706352,
-0.04635942354798317,
0.005384375341236591,
-0.09906117618083954,
-0.03794073313474655,
0.029276655986905098,
-0.05508013069629669,
-0.03220243379473686,
-0.050436634570360184,
0.03675154596567154,
-0.006455587223172188,
-0.06119594722986221,
0.06976564973592758,
0.037751972675323486,
-0.0157236959785223,
-0.013468016870319843,
0.014808211475610733,
-0.06406509876251221,
-0.07576820999383926,
0.020084049552679062,
0.017516914755105972,
0.004827533382922411,
-0.008215772919356823,
0.029333284124732018,
0.03937530890107155,
0.019800910726189613,
0.019612150266766548,
0.014043734408915043,
-0.040319107472896576,
-0.026464132592082024,
0.0126185966655612,
-0.017120519652962685,
0.04001709073781967,
-0.004150357563048601,
-0.000978012103587389,
0.0015407523605972528,
-0.00577605189755559,
0.052437491714954376,
0.03914879634976387,
0.021329864859580994,
-0.014562823809683323,
0.014430691488087177,
-0.03593987971544266,
-0.03257995471358299,
-0.02216040901839733,
0.01119345985352993,
-0.008975531905889511,
-0.014657204039394855,
-0.005912902764976025,
0.049606092274188995,
-0.037751972675323486,
-0.004284848924726248,
0.021443121135234833,
0.06353656947612762,
0.0012139618629589677,
-0.0507764033973217,
0.03029595874249935,
0.011457723565399647,
0.0014546307502314448,
0.006082786712795496,
-0.056325942277908325,
0.024595409631729126,
0.06648122519254684,
-0.0017566465539857745,
0.012467589229345322,
-0.003185322741046548,
0.031088750809431076,
-0.006658504251390696,
0.035675615072250366,
-0.00383654423058033,
0.0030295958276838064,
0.023708239197731018,
0.008343186229467392,
-0.021820640191435814,
0.010844253934919834,
-0.06191323697566986,
0.022745564579963684,
0.033995650708675385,
0.004785062745213509,
0.03816724568605423,
-0.009315299801528454,
-0.05160694569349289,
0.04390554502606392,
0.02512393891811371,
-0.014704393222928047,
-0.0019170923624187708,
0.006356488447636366,
0.020291686058044434,
0.02871037647128105,
-0.00685198325663805,
-0.030862238258123398,
-0.000391086854506284,
0.03320286050438881,
0.003569921012967825,
-0.02729467675089836,
-0.0225001759827137,
0.017290404066443443,
0.04945508390665054,
-0.05198446661233902,
-0.010598866268992424,
-0.001252893591299653,
-0.047152213752269745,
0.012410961091518402,
0.0484735332429409,
-0.025218317285180092,
-0.015714257955551147,
0.0062385136261582375,
-0.011316154152154922,
-0.036279644817113876,
-0.016610868275165558,
-0.008069484494626522,
-0.03165502846240997,
-0.0019583837129175663,
-0.0015100789023563266,
-0.015176293440163136,
-0.008640483021736145,
-0.03282533958554268,
0.04745423048734665,
0.044245313853025436,
0.0031971202697604895,
-0.015685945749282837,
-0.03771422058343887,
0.001485304208472371,
0.03101324662566185,
-0.025218317285180092,
-0.031749408692121506,
0.03106987476348877,
0.001224579638801515,
-0.030220454558730125,
0.03690255433320999,
0.022802192717790604,
-0.0064980583265423775,
0.0029635298997163773,
0.023821495473384857,
0.055117879062891006,
0.03565673902630806,
0.04624616727232933,
-0.01808319427073002,
-0.027804328128695488,
0.019347885623574257,
-0.042508721351623535,
-0.008933060802519321,
0.000998657662421465,
-0.03003169409930706,
-0.02336847223341465,
-0.03227793797850609,
0.05749625340104103,
0.01652592606842518,
-0.005724142771214247,
0.0426974818110466,
-0.07225728034973145,
0.03512820973992348,
0.03216468170285225,
0.035524606704711914,
0.04194244369864464,
-0.03312735632061958,
0.0054929121397435665,
0.055986177176237106,
-0.00476854620501399,
-0.00680951215326786,
0.032561078667640686,
-0.0007367533398792148,
-0.004461811389774084,
0.10253436118364334,
-0.01944226585328579,
0.04987035691738129,
-0.016110654920339584,
0.04292399436235428,
0.0006022619199939072,
-0.014298560097813606,
-0.016365479677915573,
-0.019725406542420387,
-0.0005931188934482634,
0.025369325652718544,
-0.011986251920461655,
-0.013600148260593414,
0.05054989084601402,
0.026029985398054123,
-0.04968159645795822,
0.016337165609002113,
0.022254787385463715,
-0.06561292707920074,
0.01078762672841549,
0.015516061335802078,
-0.04379228875041008,
0.04205569997429848,
0.026992660015821457,
-0.006422554608434439,
0.06425385922193527,
0.028804754838347435,
-0.012288267724215984,
-0.03911104425787926,
0.042131200432777405,
-0.04145166650414467,
0.1243550032377243,
0.004395745228976011,
0.001159103587269783,
-0.018338020890951157,
-0.01612953096628189,
0.051682449877262115,
0.016827942803502083,
-0.02368936315178871,
-0.01763017103075981,
-0.006748165003955364,
0.023878123611211777,
-0.01944226585328579,
-0.013770032674074173,
-0.012429837137460709,
0.008027013391256332,
0.009584282524883747,
0.03129638731479645,
0.01814926043152809,
0.03310848027467728,
0.016223911195993423,
-0.022405795753002167,
0.05002136528491974,
0.01866834983229637,
0.03257995471358299,
0.028974639251828194,
0.01864003762602806,
0.06927487254142761,
-0.026936033740639687,
-0.016780752688646317,
-0.035732243210077286,
0.050965163856744766,
0.020329438149929047,
-0.030277082696557045,
0.0262564979493618,
0.043490272015333176,
-0.011637046001851559,
0.015770886093378067,
-0.03733669966459274,
-0.05553315207362175,
0.015676507726311684,
-0.009631471708416939,
-0.009390803053975105,
-0.009258671663701534,
-0.012326018884778023,
0.030503595247864723,
-0.008489474654197693,
-0.025350449606776237,
-0.040809884667396545,
0.001766084460541606,
0.0317305326461792,
-0.022349167615175247,
0.0142796840518713,
0.036392901092767715,
-0.00929170474410057,
-0.030654601752758026,
0.0002925777807831764,
0.01656367816030979,
-0.013232066296041012,
-0.016148407012224197,
-0.020952345803380013,
0.015355614945292473,
0.008187458850443363,
0.008951936848461628,
0.005035169422626495,
0.04137616232037544,
0.008951936848461628,
0.013411388732492924,
0.012505341321229935,
-0.013005554676055908,
0.009626753628253937,
0.014355188235640526,
0.03941306099295616,
0.01944226585328579,
0.010353478603065014,
-0.00006189996202010661,
0.014100361615419388,
0.02937103435397148,
0.002614324213936925,
0.022688936442136765,
0.05844005569815636,
-0.036883678287267685,
-0.06553742289543152,
0.021820640191435814,
0.034543056041002274,
0.00011362459190422669,
-0.054513849318027496,
-0.018526781350374222,
0.041413914412260056,
-0.023727115243673325,
-0.0027393775526434183,
0.010900882072746754,
-0.008484755642712116,
-0.021594129502773285,
0.024482155218720436,
0.01482708752155304,
0.021310988813638687,
0.017384784296154976,
-0.021801764145493507,
-0.0060120015405118465,
0.01938563771545887,
-0.029031267389655113,
0.0058043659664690495,
-0.03441092371940613,
0.01621447317302227,
0.03903554007411003,
0.004185750149190426,
-0.012439275160431862,
0.00688029732555151,
-0.007257816847413778,
0.08690503984689713,
-0.015421681106090546,
-0.04454732686281204,
0.01343026477843523,
0.020235057920217514,
-0.012788481079041958,
0.02795533649623394,
-0.012137259356677532,
-0.017035577446222305,
0.02631312608718872,
0.001244635321199894,
0.022670060396194458,
0.046887949109077454,
-0.00814970675855875,
-0.03325948864221573,
0.019895289093255997,
-0.008673516102135181,
-0.023727115243673325,
-0.02965417504310608,
-0.01604458875954151,
0.05088965967297554,
-0.05360780283808708,
-0.025576962158083916,
-0.017545228824019432,
0.0034708220046013594,
-0.021310988813638687,
-0.020461568608880043,
0.008442285470664501,
0.00852250773459673,
0.010240222327411175,
0.012826233170926571,
0.02342509850859642,
0.01840408705174923,
0.021650755777955055,
0.01913081295788288,
-0.056099433451890945,
0.004855847451835871,
0.011589855886995792,
-0.00790431909263134,
-0.0008989688358269632,
-0.024010254070162773,
-0.009994834661483765,
0.008961374871432781,
-0.03210805356502533,
0.03484507277607918,
-0.015431119129061699,
0.004917194601148367,
-0.026728397235274315,
0.01866834983229637,
-0.022519052028656006,
-0.06044090911746025,
0.020272810012102127,
-0.04549112915992737,
-0.04099864140152931,
-0.0061016627587378025,
-0.008739582262933254,
0.01018359512090683,
0.05236198753118515,
0.008531945757567883,
0.053268034011125565,
-0.014534509740769863,
-0.02129211276769638,
0.044471822679042816,
-0.026992660015821457,
0.013562396168708801,
0.07467339932918549,
-0.040054842829704285,
0.012703538872301579,
0.043603528290987015,
-0.009872141294181347,
-0.0079326331615448,
0.006045034620910883,
-0.014345750212669373,
-0.038695771247148514,
0.010136405006051064,
0.014779897406697273,
0.03080561012029648,
-0.005592010915279388,
-0.005672234110534191,
0.006474463269114494,
0.04265972971916199,
-0.012826233170926571,
0.015081913210451603,
0.03777084872126579,
0.0011284301290288568,
0.01843240112066269,
0.0015159776667132974,
0.00787600502371788,
0.0033481281716376543,
-0.0015301347011700273,
0.002670952118933201,
0.01345857884734869,
-0.01802656799554825,
0.029087895527482033,
-0.045075856149196625,
-0.02567134238779545,
-0.001976079773157835,
0.03271208330988884,
0.029144523665308952,
0.02720029652118683,
0.007564551662653685,
0.011325592175126076,
-0.011061328463256359,
-0.027124792337417603,
0.028030840680003166,
0.028295103460550308,
-0.01361902430653572,
0.007625898811966181,
0.015119665302336216,
0.028087468817830086,
0.03422216325998306,
-0.023519478738307953,
0.0369214303791523,
-0.05183345824480057,
-0.018526781350374222,
-0.034750692546367645,
0.010296850465238094,
-0.004091369919478893,
0.03084336221218109,
0.022726688534021378,
-0.006394240539520979,
0.0450003519654274,
-0.0064461492002010345,
0.006616033148020506,
-0.03146626800298691,
-0.0147138312458992,
0.013571834191679955,
-0.03446755185723305,
-0.005393813364207745,
0.030428091064095497,
0.005101235583424568,
-0.020839089527726173,
0.05005911737680435,
-0.034486427903175354,
-0.0490398146212101,
-0.029842935502529144,
0.0014133395161479712,
-0.050210125744342804,
-0.01589358039200306,
0.04560438543558121,
0.028162971138954163,
-0.018875986337661743,
0.0104572968557477,
0.006054472643882036,
-0.017026139423251152,
-0.008130831643939018,
-0.04820926859974861,
0.040432363748550415,
-0.009919331409037113,
-0.0346185602247715,
-0.05526888743042946,
-0.019404513761401176,
0.008805647492408752,
0.00816386379301548,
0.006875578314065933,
-0.03467518836259842,
0.0103157265111804,
-0.00979663711041212,
-0.017649047076702118,
0.007724997587502003,
0.010334602557122707,
-0.0004542034293990582,
0.04798275977373123,
0.00853666476905346,
-0.007036024238914251,
-0.013062182813882828,
-0.006191323511302471,
-0.03314623236656189,
0.04307500272989273,
0.0504743866622448,
-0.03516596183180809,
0.022198161110281944,
-0.026634017005562782,
0.0476052388548851,
0.006078067701309919,
0.0007668369798921049,
-0.022292539477348328,
-0.0343354195356369,
-0.03456193208694458,
0.022688936442136765,
0.014572261832654476,
0.006417835596948862,
0.015855828300118446,
0.009187886491417885,
-0.00438394770026207,
0.03771422058343887,
-0.02484079822897911,
-0.028521616011857986,
-0.0018781606340780854,
0.004265972878783941,
-0.004034742247313261,
0.007885443046689034,
-0.006715132389217615,
-0.020706957206130028,
0.035845499485731125,
0.01656367816030979,
0.001846307422965765,
-0.006092224735766649,
-0.03728007525205612,
0.010825377888977528,
0.011184021830558777,
-0.003265545703470707,
0.009919331409037113,
0.008173301815986633,
-0.015714257955551147,
-0.005724142771214247,
0.013354760594666004,
0.027879832312464714,
-0.014402377419173717,
0.006181885488331318,
0.0020327079109847546,
-0.008380938321352005,
-0.03556235879659653,
0.008173301815986633,
-0.01531786285340786,
0.03971507400274277,
-0.015449995175004005,
0.005535383243113756,
0.0036241894122213125,
-0.01621447317302227,
-0.017054453492164612,
0.018942052498459816,
0.014392939396202564,
0.0020586622413247824,
-0.011089642532169819,
-0.0005078820395283401,
-0.030012818053364754,
0.04941733181476593,
0.024859674274921417,
-0.03299522399902344,
-0.018960928544402122,
-0.017488600686192513,
-0.004874723497778177,
-0.06387633830308914,
-0.012241077609360218,
-0.0008623966132290661,
-0.008833961561322212,
0.002576572122052312,
-0.019914165139198303,
-0.03820499777793884,
0.02195277251303196,
-0.050587642937898636,
-0.05013462156057358,
0.008437566459178925,
0.02763444371521473,
0.01556325051933527,
-0.022972075268626213,
0.030390338972210884,
-0.03990383446216583,
-0.0024373617488890886,
-0.013637900352478027,
0.056212689727544785,
-0.023462850600481033,
0.03416553512215614,
0.07335208356380463,
-0.008456441573798656,
0.026954909786581993,
0.011042452417314053,
0.024501031264662743,
0.05613718554377556,
-0.03052246943116188,
-0.00010367045615566894,
-0.0002821075322572142,
-0.0006476822891272604,
0.004558550659567118,
-0.0017259729793295264,
0.003440148662775755,
-0.05172020196914673,
0.01774342730641365,
0.01051392499357462,
0.03222130984067917,
-0.004473608918488026
] |
We propose and release a new vulnerable source code dataset. We curate the
dataset by crawling security issue websites, extracting vulnerability-fixing
commits and source codes from the corresponding projects. Our new dataset
contains 18,945 vulnerable functions spanning 150 CWEs and 330,492
non-vulnerable functions extracted from 7,514 commits. Our dataset covers 295
more projects than all previous datasets combined.
Combining our new dataset with previous datasets, we present an analysis of
the challenges and promising research directions of using deep learning for
detecting software vulnerabilities. We study 11 model architectures belonging
to 4 families. Our results show that deep learning is still not ready for
vulnerability detection, due to high false positive rate, low F1 score, and
difficulty of detecting hard CWEs. In particular, we demonstrate an important
generalization challenge for the deployment of deep learning-based models. We
show that increasing the volume of training data may not further improve the
performance of deep learning models for vulnerability detection, but might be
useful to improve the generalization ability to unseen projects.
We also identify hopeful future research directions. We demonstrate that
large language models (LLMs) are a promising research direction for ML-based
vulnerability detection, outperforming Graph Neural Networks (GNNs) with
code-structure features in our experiments. Moreover, developing source code
specific pre-training objectives is a promising research direction to improve
the vulnerability detection performance. | [
-0.03189854323863983,
0.014186684042215347,
-0.026430221274495125,
-0.005670374725013971,
0.048630233854055405,
0.0387597382068634,
-0.0031124723609536886,
0.026653770357370377,
-0.008060615509748459,
0.030419688671827316,
0.05289483442902565,
-0.0670987144112587,
0.004361330531537533,
-0.007871460169553757,
-0.03965393081307411,
0.010635714046657085,
0.02785748802125454,
-0.041820622980594635,
-0.012286528013646603,
-0.0675802007317543,
0.010266000404953957,
0.0018206244567409158,
-0.03638669475913048,
0.052378956228494644,
0.009062281809747219,
-0.0193282812833786,
0.05289483442902565,
0.0095781609416008,
-0.04137352854013443,
0.09354613721370697,
0.0677177682518959,
0.02323176898062229,
-0.005231876857578754,
-0.02973185107111931,
-0.034237198531627655,
-0.012200548313558102,
-0.005102907307446003,
0.11885861307382584,
-0.0483894906938076,
0.004352732561528683,
0.037040140479803085,
-0.04453758895397186,
-0.0021570208482444286,
0.018055779859423637,
0.01843409053981304,
-0.0001939921494340524,
-0.0007415766594931483,
-0.03342898562550545,
-0.010867859236896038,
0.014289859682321548,
-0.003284432226791978,
0.006104573141783476,
0.004187221173197031,
-0.020703960210084915,
-0.003888441016897559,
0.05279165878891945,
0.06348755955696106,
-0.011271964758634567,
0.0870804414153099,
-0.02686012163758278,
-0.0038690955843776464,
0.047598473727703094,
-0.02218281477689743,
0.005846633575856686,
0.010592724196612835,
0.02904401160776615,
-0.007987532764673233,
-0.004853565711528063,
0.04333386942744255,
0.03686818107962608,
-0.05513031408190727,
-0.02027406170964241,
-0.0030995754059404135,
0.033136654645204544,
0.03275834396481514,
0.018055779859423637,
-0.0025557526387274265,
0.032173678278923035,
-0.03351496532559395,
-0.02211403101682663,
0.00024477404076606035,
0.014754150994122028,
-0.02134021185338497,
0.02990381047129631,
0.07408028095960617,
-0.0038970389869064093,
-0.044778332114219666,
-0.06496641039848328,
0.01720457896590233,
-0.08797463774681091,
-0.008516308851540089,
0.005292063113301992,
0.02615508623421192,
-0.024332312867045403,
-0.03552689403295517,
0.00651297764852643,
-0.04010102525353432,
-0.058363158255815506,
-0.07153528183698654,
0.02976624295115471,
-0.021838895976543427,
0.015141060575842857,
0.01355043239891529,
0.00907087977975607,
-0.03652426227927208,
-0.07029716670513153,
-0.05485517904162407,
0.025381267070770264,
-0.003531624563038349,
0.10778440535068512,
-0.0029383632354438305,
-0.03365253284573555,
-0.041751839220523834,
0.010635714046657085,
0.015252834185957909,
0.022423557937145233,
-0.0023171582724899054,
-0.0480111762881279,
0.0028007952496409416,
-0.042852383106946945,
0.008924714289605618,
0.06445053219795227,
-0.008898919448256493,
-0.04130474478006363,
-0.026464613154530525,
0.0963662713766098,
-0.025226503610610962,
0.0018861840944737196,
-0.02299102582037449,
0.03961953893303871,
-0.012914181686937809,
0.0287172868847847,
0.014117900282144547,
-0.012054381892085075,
0.07380514591932297,
0.013859960250556469,
0.04711698740720749,
0.04116717725992203,
-0.012355311773717403,
-0.009801709093153477,
0.014573593623936176,
0.02003331668674946,
-0.013636412099003792,
0.036111559718847275,
0.036111559718847275,
-0.02116825245320797,
-0.007613520137965679,
0.08859369158744812,
-0.0055414047092199326,
-0.014702563174068928,
-0.035114191472530365,
0.018829599022865295,
0.021924875676631927,
0.049661990255117416,
0.07318609207868576,
-0.02099629119038582,
0.023644473403692245,
0.056162070482969284,
-0.010885055176913738,
-0.03549250215291977,
0.05172551050782204,
-0.01300016138702631,
0.034357570111751556,
0.0005037884693592787,
-0.02015368826687336,
0.0002885700378101319,
0.03351496532559395,
-0.004260304383933544,
-0.0769004225730896,
0.042817991226911545,
0.040857650339603424,
-0.008365844376385212,
-0.02015368826687336,
-0.007162125781178474,
0.023610081523656845,
0.029198775067925453,
0.025278091430664062,
-0.004436562769114971,
0.0032027512788772583,
-0.017815034836530685,
-0.025346875190734863,
-0.01625020243227482,
0.0008141222060658038,
0.007437261752784252,
-0.032225266098976135,
0.016112633049488068,
0.028115427121520042,
0.0038970389869064093,
0.05093449354171753,
-0.03583642467856407,
-0.008881723508238792,
-0.002224729862064123,
0.03253479674458504,
-0.03236283361911774,
-0.011942608281970024,
-0.034357570111751556,
-0.06252458691596985,
0.041855014860630035,
0.03294749930500984,
-0.024555860087275505,
-0.007570530287921429,
-0.028562523424625397,
-0.003284432226791978,
0.011624482460319996,
-0.01259605586528778,
0.0287344828248024,
0.021787306293845177,
0.027376001700758934,
0.017729055136442184,
-0.05416733771562576,
-0.03666182979941368,
0.03198452293872833,
-0.06806168705224991,
-0.0006443118909373879,
-0.010781879536807537,
-0.010635714046657085,
-0.016731688752770424,
0.02682572975754738,
-0.027599548920989037,
-0.010575528256595135,
0.012131764553487301,
0.006865495350211859,
0.024435488507151604,
-0.023558493703603745,
-0.02706647291779518,
-0.0669955387711525,
0.06379708647727966,
-0.015871889889240265,
-0.034030843526124954,
0.03717770799994469,
-0.002203234937041998,
-0.0667891874909401,
-0.010764683596789837,
-0.026722554117441177,
0.026756945997476578,
-0.07201676815748215,
0.0077080982737243176,
-0.025278091430664062,
-0.034993819892406464,
0.027272824198007584,
0.039103660732507706,
-0.05382341891527176,
-0.042061369866132736,
-0.026791337877511978,
0.028648503124713898,
0.07236068695783615,
-0.015570960007607937,
0.025226503610610962,
0.006315223872661591,
0.02323176898062229,
0.0031662099063396454,
0.008941910229623318,
-0.0036498468834906816,
-0.01646515168249607,
-0.05451125651597977,
0.024830995127558708,
0.022784674540162086,
0.0096297487616539,
-0.015106668695807457,
-0.0868053063750267,
0.006676339544355869,
-0.04354022070765495,
-0.024487076327204704,
0.030282121151685715,
-0.018468482419848442,
0.03951636329293251,
0.001626094919629395,
0.013189316727221012,
0.024521468207240105,
-0.05870707705616951,
0.06231823191046715,
0.016697296872735023,
-0.076762855052948,
-0.02321457304060459,
0.005313558038324118,
-0.037246495485305786,
0.046841852366924286,
0.022939438000321388,
-0.003523026593029499,
-0.0289064422249794,
0.03339459374547005,
0.0017228223150596023,
0.023816432803869247,
0.015854693949222565,
0.03361814096570015,
-0.06001397222280502,
-0.0037788166664540768,
-0.009810307063162327,
-0.0021613198332488537,
-0.025587618350982666,
-0.028700090944767,
-0.0013466601958498359,
-0.05942930653691292,
-0.00916545744985342,
0.014289859682321548,
-0.000012636694918910507,
-0.008559299632906914,
0.017101403325796127,
-0.053513891994953156,
-0.02489977888762951,
-0.07050351798534393,
-0.03392766788601875,
0.01254446804523468,
0.015003493055701256,
-0.020635176450014114,
0.013808372430503368,
0.022819066420197487,
0.038553386926651,
-0.013154924847185612,
0.0011360094649717212,
-0.0016529635759070516,
-0.017101403325796127,
-0.04398731887340546,
0.017935408279299736,
0.022733086720108986,
0.049558814615011215,
-0.0042946962639689445,
-0.006104573141783476,
0.004081896040588617,
0.0010742114391177893,
0.00008262131450464949,
0.031159115955233574,
-0.11280563473701477,
0.061252083629369736,
0.02993820235133171,
-0.037280887365341187,
0.001314417808316648,
0.016860658302903175,
-0.052413348108530045,
-0.0023085603024810553,
-0.011762050911784172,
-0.015123864635825157,
-0.05461443215608597,
-0.02202805131673813,
0.03251760080456734,
-0.016903648152947426,
-0.008443226106464863,
0.09760438650846481,
0.020566392689943314,
-0.0479080006480217,
-0.04237089678645134,
0.01814175955951214,
-0.07463055849075317,
-0.037280887365341187,
-0.007450158707797527,
-0.05554301664233208,
-0.008357246406376362,
-0.04006663337349892,
-0.01814175955951214,
-0.03494223207235336,
0.0009651244035921991,
-0.015768714249134064,
-0.004595625679939985,
0.028184212744235992,
0.022767478600144386,
-0.005438228603452444,
-0.010162824764847755,
-0.025295287370681763,
0.0019195013446733356,
0.02586275525391102,
-0.024315116927027702,
-0.037968724966049194,
0.016095437109470367,
-0.010962437838315964,
-0.04639475420117378,
-0.048630233854055405,
-0.00434198509901762,
-0.03734967112541199,
0.03642108663916588,
0.017496909946203232,
0.01484013069421053,
0.08529206365346909,
0.030282121151685715,
-0.013378472998738289,
-0.016766080632805824,
-0.017144393175840378,
0.021460583433508873,
0.04340265318751335,
-0.023610081523656845,
0.02704927697777748,
-0.03365253284573555,
0.02037723734974861,
-0.04116717725992203,
-0.024263529106974602,
-0.0015734322369098663,
0.00960395485162735,
0.0288892462849617,
-0.004058251157402992,
0.021890483796596527,
0.013172120787203312,
-0.0022763179149478674,
0.0059283142909407616,
-0.0191563218832016,
-0.024693427607417107,
0.04006663337349892,
0.02992100641131401,
-0.017161589115858078,
-0.00823687482625246,
0.005218979902565479,
-0.0576753169298172,
-0.05261969938874245,
0.05578375980257988,
-0.008503411896526814,
0.022612715139985085,
-0.04061690717935562,
-0.007656510453671217,
0.0287688747048378,
-0.013567628338932991,
-0.019758181646466255,
-0.020893115550279617,
0.018760815262794495,
-0.007372776512056589,
0.0008845182601362467,
0.021615346893668175,
0.02894083596765995,
0.015846095979213715,
0.02134021185338497,
-0.04364340007305145,
0.005292063113301992,
0.037005748599767685,
-0.0037702186964452267,
-0.01815895549952984,
0.0478048250079155,
0.011340749450027943,
0.004322639666497707,
0.02515771985054016,
-0.012338115833699703,
0.04646353796124458,
0.02587995119392872,
-0.046738673001527786,
0.06352195143699646,
0.0031877048313617706,
0.053410716354846954,
-0.042955558747053146,
-0.021838895976543427,
-0.048423882573843,
0.015519372187554836,
-0.04157987982034683,
-0.05585254356265068,
-0.006981567945331335,
0.03669622167944908,
0.016809070482850075,
0.01347305066883564,
0.022320382297039032,
-0.08852490782737732,
-0.03342898562550545,
-0.018657639622688293,
0.031417056918144226,
0.017694663256406784,
-0.06090816110372543,
-0.05936052277684212,
0.053582675755023956,
-0.07944542914628983,
-0.006061583291739225,
0.06159600242972374,
-0.038725346326828,
-0.0030501370783895254,
-0.029181579127907753,
0.01392874401062727,
-0.05698747932910919,
0.01631898619234562,
0.07311730831861496,
-0.005571497604250908,
-0.011151593178510666,
-0.040995217859745026,
0.02706647291779518,
-0.013215110637247562,
-0.047632865607738495,
0.0061604599468410015,
0.001895856810733676,
-0.010266000404953957,
-0.024349508807063103,
-0.0016035251319408417,
-0.016680100932717323,
0.0025600516237318516,
-0.007454457692801952,
-0.008146596141159534,
-0.006723628379404545,
0.0010419689351692796,
0.006328120827674866,
0.04935246333479881,
0.04532860592007637,
-0.037074532359838486,
-0.02118544839322567,
0.0191047340631485,
-0.021838895976543427,
0.05265409126877785,
-0.025415658950805664,
0.03576764091849327,
-0.013610618188977242,
-0.018863990902900696,
-0.01941426284611225,
-0.013258100487291813,
-0.015914879739284515,
0.01002525631338358,
-0.024263529106974602,
-0.01619861274957657,
-0.015983663499355316,
0.062146272510290146,
0.002723413286730647,
0.007940243929624557,
-0.01726476475596428,
-0.0020946853328496218,
0.011830834671854973,
0.006491482723504305,
-0.0010403568157926202,
-0.07380514591932297,
0.0016615616623312235,
-0.00008194959082175046,
0.044812723994255066,
0.04498468339443207,
-0.00917405541986227,
-0.018090171739459038,
-0.03236283361911774,
-0.025329679250717163,
-0.004436562769114971,
0.015321618877351284,
-0.005107206292450428,
0.029611477628350258,
0.009750121273100376,
0.014685367234051228,
-0.01355043239891529,
-0.001118813524954021,
-0.0070847440510988235,
-0.03655865415930748,
0.007273899856954813,
0.046601105481386185,
0.0029963995330035686,
0.0005188349750824273,
-0.018090171739459038,
0.007635015528649092,
0.04127035290002823,
-0.05299801006913185,
-0.04539738968014717,
-0.02115105651319027,
0.0031984522938728333,
0.014797140844166279,
-0.01355043239891529,
-0.033325809985399246,
0.011572894640266895,
-0.06352195143699646,
0.015373206697404385,
-0.04051373153924942,
-0.013215110637247562,
0.005700467620044947,
-0.00955236703157425,
-0.012424095533788204,
0.006525874603539705,
0.02777150832116604,
-0.0019399215234443545,
0.010618518106639385,
0.004892256576567888,
0.004870761651545763,
-0.005472620949149132,
-0.06427857279777527,
-0.023816432803869247,
-0.014255467802286148,
-0.00023590735509060323,
0.0014788543339818716,
-0.017006823793053627,
-0.03243161737918854,
0.029129991307854652,
-0.007733892183750868,
-0.004354882054030895,
0.019723789766430855,
0.007815573364496231,
-0.01838250271975994,
0.0482863113284111,
-0.01630179025232792,
0.0072008166462183,
-0.01943145878612995,
-0.021408995613455772,
-0.0068482994101941586,
-0.005360846873372793,
-0.012398301623761654,
0.02209683507680893,
-0.016662904992699623,
-0.018984362483024597,
0.002615938428789377,
-0.004642914514988661,
-0.052413348108530045,
-0.02978343889117241,
0.002822290174663067,
0.036180343478918076,
0.032242462038993835,
0.04608522728085518,
-0.011641678400337696,
-0.01729915663599968,
0.0005717663443647325,
-0.02311139740049839,
-0.01635337807238102,
-0.001176849938929081,
-0.004210865590721369,
-0.04732333868741989,
-0.03296469524502754,
-0.022853458300232887,
-0.012363909743726254,
0.021013488993048668,
-0.004466656129807234,
-0.003991616889834404,
-0.008688269183039665,
0.01631898619234562,
0.039894673973321915,
0.004479553084820509,
-0.006603256333619356,
-0.024745015427470207,
0.022303186357021332,
-0.03569885715842247,
-0.029594281688332558,
0.00604868633672595,
-0.01838250271975994,
0.00163039390463382,
0.03741845488548279,
-0.038966093212366104,
-0.009234241209924221,
-0.03958514705300331,
-0.006603256333619356,
0.025329679250717163,
-0.008890321478247643,
0.0057735503651201725,
0.02796066366136074,
0.0035165781155228615,
0.0388973094522953,
-0.0074716536328196526,
0.03275834396481514,
0.03150303661823273,
0.001381052192300558,
-0.032139286398887634,
0.005395238753408194,
-0.018657639622688293,
-0.062008704990148544,
-0.009303024969995022,
0.013266698457300663,
-0.00742436433210969,
-0.051347196102142334,
0.020532000809907913,
0.023833628743886948,
-0.00968993455171585,
-0.04708259552717209,
-0.006869794335216284,
-0.01297436747699976,
0.03160621225833893,
-0.016594121232628822,
0.07531839609146118,
-0.01304315123707056,
0.010850663296878338,
-0.0067795151844620705,
0.027255628257989883,
0.03176097571849823,
0.029439518228173256,
0.035079799592494965,
0.032328441739082336,
0.015553764067590237,
0.04336826130747795,
-0.026636574417352676,
0.00820248294621706,
0.04976516589522362,
0.01354183442890644,
-0.015158256515860558,
0.023386534303426743,
0.02593153901398182,
-0.022939438000321388,
-0.04914611205458641,
-0.007561932317912579,
-0.0007786554633639753,
-0.056437209248542786,
-0.0028093932196497917,
0.02211403101682663,
0.01744532212615013,
0.029301950708031654,
0.009904884733259678,
-0.10076844692230225,
-0.07005642354488373,
0.011633080430328846,
-0.008610887452960014,
-0.028545327484607697,
0.02596593089401722,
0.04023859277367592,
-0.0003898651048075408,
-0.003826105734333396,
0.00019291740318294615,
0.001426191651262343,
-0.007832769304513931,
-0.02986941859126091,
-0.0036455478984862566,
-0.010463753715157509,
-0.0063926056027412415,
0.019534634426236153,
-0.02980063483119011,
0.011117201298475266,
-0.03478746861219406,
-0.024659035727381706,
0.009836100973188877,
-0.013610618188977242,
0.05320436507463455,
-0.06249019131064415,
0.012621849775314331,
-0.029508301988244057,
0.025295287370681763,
-0.01251007616519928,
-0.0035832123830914497,
0.01346445269882679,
-0.04006663337349892,
0.01748831197619438,
0.015209844335913658,
-0.0015067977365106344,
0.015055080875754356,
-0.0037100326735526323,
0.023352140560746193,
0.002878177212551236,
0.005408135708421469,
0.06383147835731506,
-0.009242839179933071,
-0.027221236377954483,
0.034220002591609955,
0.004445160739123821,
0.03549250215291977,
0.05083131790161133,
-0.0021355259232223034,
0.02118544839322567,
0.02591434307396412,
-0.014822934754192829,
-0.027547961100935936,
-0.041855014860630035,
-0.04618840292096138,
-0.03549250215291977,
-0.011366543360054493,
-0.006577462423592806,
-0.005133000202476978,
-0.002641732571646571,
0.03256918862462044,
0.005979902110993862,
-0.025707989931106567,
0.003073781495913863,
-0.03444354981184006,
-0.029473910108208656,
0.042026977986097336,
0.03762480616569519,
-0.0017185233300551772,
-0.005274867173284292,
-0.02005051262676716,
-0.0388973094522953,
0.042955558747053146,
-0.014238271862268448,
-0.012148960493505001,
-0.014195282012224197,
-0.010154226794838905,
0.0024117361754179,
0.00817668903619051,
0.038140684366226196,
0.07022838294506073,
-0.00008268848614534363,
0.031417056918144226,
-0.023696061223745346,
-0.020944703370332718,
0.00719221867620945,
0.034048039466142654,
0.032104894518852234,
0.005481218919157982,
-0.016963833943009377,
-0.012819603085517883,
0.047564081847667694,
0.010283196344971657,
-0.004973937291651964,
0.03459831327199936,
-0.03385888412594795,
0.012028587982058525,
0.018795207142829895,
0.01735934242606163,
0.004973937291651964,
0.02612069435417652,
-0.02892364002764225,
0.05471761152148247,
-0.01836530677974224,
0.012750819325447083,
0.015854693949222565,
0.0481831356883049,
-0.028562523424625397,
0.005911118350923061,
0.05265409126877785,
-0.05946370214223862,
-0.0193110853433609,
-0.03265516832470894,
0.028390564024448395,
-0.016877854242920876,
0.046841852366924286,
0.004167875740677118,
-0.0481487438082695,
-0.03095276467502117,
0.06266215443611145,
-0.08371002972126007,
-0.0484926663339138,
-0.007983233779668808,
-0.016989627853035927,
0.02974904701113701,
-0.03741845488548279,
-0.0010204740101471543,
0.03528615087270737,
-0.029525497928261757,
-0.024779407307505608,
0.04880219325423241,
-0.016680100932717323,
0.0028007952496409416,
-0.011246170848608017,
0.03348057344555855,
-0.014289859682321548,
-0.03470148891210556,
0.03076360933482647,
-0.0014025471173226833,
0.018829599022865295,
0.006508678663522005,
-0.012793809175491333,
-0.030419688671827316,
0.04405610263347626,
-0.0011327852262184024,
-0.03741845488548279,
-0.01843409053981304,
-0.003305927151814103,
0.0383470356464386,
-0.037108924239873886,
0.0017410930013284087,
-0.03769358992576599,
0.006938578095287085,
-0.015992261469364166,
-0.019362673163414,
-0.01741093024611473,
0.007282497826963663,
0.00815089512616396,
0.07291095703840256,
0.028218604624271393,
-0.019569026306271553,
0.013868558220565319,
-0.024641839787364006,
0.005201783962547779,
-0.03762480616569519,
0.022853458300232887,
0.015484980307519436,
-0.008950508199632168,
-0.006998763885349035,
0.030333708971738815,
-0.013593422248959541,
-0.01387715619057417,
-0.019706593826413155,
-0.015098070725798607,
-0.03366972878575325,
0.007510344497859478,
-0.02505454421043396,
0.04546617344021797,
0.004458058159798384,
-0.0014777795877307653,
0.02512332797050476,
0.026378633454442024,
0.0191563218832016,
-0.02792627178132534,
-0.02484819106757641,
0.057297006249427795,
-0.005709065590053797,
-0.009715729393064976,
-0.011615884490311146,
-0.0050599174574017525,
0.015588155947625637,
-0.045844484120607376,
0.017746251076459885,
0.020824331790208817,
0.05513031408190727,
0.037143316119909286,
-0.02127142809331417,
-0.05389220267534256,
0.056299641728401184,
-0.050487399101257324,
-0.012295125983655453,
-0.015089472755789757,
0.0024052876979112625,
0.05977322906255722,
0.014229673892259598,
-0.03734967112541199,
-0.01343006081879139,
-0.045741308480501175,
0.003796012606471777,
-0.025484442710876465,
0.012062979862093925,
-0.007514643482863903,
0.06434735655784607,
-0.006482884753495455,
0.03552689403295517,
-0.023782040923833847,
0.026670966297388077,
-0.02316298522055149,
-0.0030544360633939505,
-0.03234563767910004,
-0.03241442143917084,
0.02496856451034546,
-0.0483207032084465,
0.014341447502374649,
0.04739212244749069,
0.01437583938241005,
-0.011590090580284595,
0.042886774986982346,
-0.055439841002225876,
-0.01944865472614765,
0.005167392082512379,
-0.028528131544589996,
-0.024487076327204704,
-0.03353216126561165,
-0.0005943360738456249,
0.021460583433508873,
0.008013326674699783,
0.000577677448745817,
0.005872427485883236,
0.019826965406537056,
0.008490514941513538,
-0.058259982615709305,
-0.011383739300072193,
-0.044640764594078064,
-0.0028953731525689363,
0.07559353113174438,
0.029129991307854652,
0.012733623385429382,
0.007755387108772993,
0.0095437690615654,
0.009930678643286228,
0.07538717985153198,
-0.01741093024611473,
0.0383126437664032,
-0.02775431238114834,
0.014659573324024677,
-0.03384168818593025,
-0.029301950708031654,
-0.01737653836607933,
-0.00410124147310853,
-0.03652426227927208,
0.02213122695684433,
0.0069342791102826595,
0.0022655704524368048,
0.037108924239873886,
-0.016766080632805824,
0.0014541350537911057,
0.030454080551862717,
0.0002733892179094255,
0.003101724898442626,
-0.039103660732507706,
0.0006142189376987517,
0.012252136133611202,
0.00478048250079155,
0.008352947421371937,
-0.006108872126787901,
0.07366757839918137,
-0.030350904911756516,
-0.006684937514364719,
0.011392337270081043,
-0.03239722549915314,
-0.01299156341701746,
0.014186684042215347,
0.008705465123057365,
-0.03679939731955528,
-0.002706217346712947,
-0.0073211886920034885,
-0.006379708647727966,
-0.05110645294189453,
0.014908915385603905,
0.027565157040953636,
0.00912246759980917,
-0.011650276370346546,
-0.013172120787203312,
-0.028424955904483795,
0.010360578075051308,
-0.03072921745479107,
-0.03968832269310951,
0.0017722607590258121,
0.030402492731809616,
0.031365469098091125,
-0.038381427526474,
0.0121145686134696,
-0.00028185287374071777,
0.010807673446834087,
-0.015080874785780907,
0.03158901631832123,
-0.029577085748314857,
0.03566446527838707,
-0.0023730453103780746,
0.022561125457286835,
0.007587726227939129,
-0.0008603364112786949,
0.012260734103620052,
-0.01718738302588463,
-0.02025686576962471,
0.015828900039196014,
-0.00012621580390259624,
-0.07026277482509613,
0.005107206292450428,
0.026378633454442024,
-0.005670374725013971,
0.019620614126324654,
-0.0075576333329081535,
-0.007910151034593582,
0.008559299632906914,
-0.023833628743886948,
-0.023455318063497543,
-0.0047718845307827,
0.03368692472577095,
-0.015622547827661037,
0.02400558814406395,
0.03305067494511604,
0.020652372390031815,
0.009492181241512299,
-0.007033156231045723,
0.0191047340631485,
0.0049997312016785145,
-0.014246869832277298,
-0.002038798527792096,
-0.02796066366136074,
-0.032328441739082336,
0.020635176450014114,
0.006869794335216284,
0.018674835562705994,
-0.02412595972418785,
-0.05378902703523636,
0.04422806203365326,
-0.026327045634388924,
-0.02801225148141384,
0.015579557977616787,
-0.021374603733420372,
-0.042921166867017746,
-0.07332365959882736
] |
Ontology-based clustering has gained attention in recent years due to the
potential benefits of ontology. Current ontology-based clustering approaches
have mainly been applied to reduce the dimensionality of attributes in text
document clustering. Reduction in dimensionality of attributes using ontology
helps to produce high quality clusters for a dataset. However, ontology-based
approaches in clustering numerical datasets have not been gained enough
attention. Moreover, some literature mentions that ontology-based clustering
can produce either high quality or low-quality clusters from a dataset.
Therefore, in this paper we present a clustering approach that is based on
domain ontology to reduce the dimensionality of attributes in a numerical
dataset using domain ontology and to produce high quality clusters. For every
dataset, we produce three datasets using domain ontology. We then cluster these
datasets using a genetic algorithm-based clustering technique called
GenClust++. The clusters of each dataset are evaluated in terms of Sum of
Squared-Error (SSE). We use six numerical datasets to evaluate the performance
of our ontology-based approach. The experimental results of our approach
indicate that cluster quality gradually improves from lower to the higher
levels of a domain ontology. | [
-0.03362150490283966,
-0.0061420900747179985,
-0.027377955615520477,
-0.00785516295582056,
0.02310112677514553,
0.020088614895939827,
-0.0003053485124837607,
0.002341330284252763,
-0.024677621200680733,
-0.02124367095530033,
0.03334054350852966,
-0.09945971518754959,
-0.0014662580797448754,
-0.0491679385304451,
-0.013353387825191021,
0.017107320949435234,
-0.014172852970659733,
-0.047669485211372375,
-0.033371761441230774,
-0.03418342396616936,
-0.008709749206900597,
0.03490143269300461,
-0.05765916407108307,
0.05572366341948509,
-0.00881901104003191,
0.024630796164274216,
0.043954573571681976,
0.015327909030020237,
-0.06655621528625488,
0.059469789266586304,
-0.0015677157789468765,
-0.015164016745984554,
0.0016740511637181044,
-0.05497443675994873,
-0.08228995651006699,
0.005939174443483353,
0.052445799112319946,
0.007870771922171116,
0.00010535986803006381,
0.044922325760126114,
0.03324688971042633,
0.013142667710781097,
-0.030718253925442696,
0.060593631118535995,
0.047981664538383484,
-0.05129074305295944,
0.013493867591023445,
-0.0012867561308667064,
-0.04485988989472389,
-0.05016690492630005,
-0.004651443101465702,
-0.029610024765133858,
0.006625964771956205,
-0.018761860206723213,
-0.1151934564113617,
0.03362150490283966,
0.02235190011560917,
0.04098888859152794,
0.0323103591799736,
0.019417433068156242,
0.03777346387505531,
-0.002833009697496891,
-0.04582763835787773,
-0.003139333799481392,
0.01304901484400034,
-0.04894941300153732,
-0.028689101338386536,
-0.006001610308885574,
-0.004963620565831661,
-0.006661084946244955,
-0.041956640779972076,
0.02090027555823326,
-0.015468388795852661,
0.022336291149258614,
0.00959165021777153,
0.014539661817252636,
0.019760828465223312,
-0.014383573085069656,
-0.07835651934146881,
0.027565263211727142,
0.06199842691421509,
-0.004109034780412912,
0.014812816865742207,
0.02564537152647972,
0.024022050201892853,
0.014617705717682838,
0.009529214352369308,
-0.03892851993441582,
0.025192715227603912,
-0.026316553354263306,
-0.055161744356155396,
-0.004054403863847256,
-0.026831645518541336,
0.0020369573030620813,
-0.007656150497496128,
0.03908460959792137,
0.02936028316617012,
0.0009165332885459065,
-0.0025949745904654264,
0.012721228413283825,
-0.04142593964934349,
-0.0220085047185421,
0.037492502480745316,
-0.031951356679201126,
0.019276952371001244,
-0.011480323038995266,
-0.03468290716409683,
-0.033153239637613297,
0.02420935593545437,
0.08853350579738617,
0.020338356494903564,
-0.0031686003785580397,
-0.027487218379974365,
-0.011573976837098598,
0.01223735325038433,
-0.03942800313234329,
-0.03705545514822006,
-0.044329188764095306,
0.025879504159092903,
-0.012096873484551907,
0.019370606169104576,
0.061904773116111755,
-0.002674969844520092,
-0.013384604826569557,
-0.0646207183599472,
0.008452202193439007,
-0.011168145574629307,
0.05356963723897934,
-0.03571309149265289,
0.006633769255131483,
-0.031857702881097794,
-0.01196419820189476,
0.024662012234330177,
-0.017575586214661598,
0.0508849136531353,
0.016576619818806648,
0.11781574040651321,
0.0014662580797448754,
-0.0035783331841230392,
-0.0251614972949028,
-0.019792046397924423,
-0.06611917167901993,
-0.010629639960825443,
-0.03527604416012764,
0.04520328342914581,
0.013923111371695995,
-0.0105750085785985,
0.09471461921930313,
-0.029859766364097595,
-0.008592681959271431,
-0.011074492707848549,
0.03499508276581764,
0.0017794111045077443,
-0.036431100219488144,
-0.0003616867761593312,
0.016654662787914276,
0.007316657342016697,
-0.03558821976184845,
-0.03352785110473633,
-0.04941767826676369,
0.03605648875236511,
-0.011214972473680973,
0.01766924001276493,
0.06078093498945236,
0.024505924433469772,
0.01606152579188347,
-0.02836131490767002,
0.034433163702487946,
-0.0345892533659935,
0.03967774659395218,
0.020791012793779373,
-0.02541123889386654,
-0.0471700020134449,
0.04607738181948662,
-0.06168625131249428,
0.018715033307671547,
0.020197875797748566,
-0.001847699866630137,
0.047638267278671265,
0.01002089399844408,
-0.07542205601930618,
0.008155633695423603,
0.0053187222220003605,
0.03163917735219002,
0.0771702453494072,
0.0020603707525879145,
0.07386116683483124,
-0.015733739361166954,
0.05250823497772217,
-0.021368540823459625,
-0.007000577636063099,
0.027143822982907295,
0.014446008019149303,
0.015632282942533493,
-0.013899697922170162,
-0.044297970831394196,
-0.04823140427470207,
0.021649502217769623,
-0.030109507963061333,
-0.04142593964934349,
-0.037430066615343094,
-0.07635858654975891,
0.02853301353752613,
0.016826361417770386,
0.04979229345917702,
0.04102010652422905,
0.02055688016116619,
0.004776313900947571,
-0.022570423781871796,
-0.040520623326301575,
-0.0009160455083474517,
-0.011831522919237614,
-0.039584092795848846,
0.04863723739981651,
-0.021150017157197,
-0.0042495145462453365,
0.010902795009315014,
0.0011043275007978082,
-0.05497443675994873,
-0.02884518913924694,
0.03736763074994087,
-0.004109034780412912,
0.03490143269300461,
0.003030071733519435,
0.012721228413283825,
0.02822083607316017,
-0.0025735122617334127,
0.00019291586067993194,
0.02341330423951149,
0.026769209653139114,
-0.0037071064580231905,
0.01372019574046135,
-0.024037659168243408,
-0.0734865590929985,
0.002823254093527794,
-0.007172275334596634,
0.015000123530626297,
-0.04479745402932167,
-0.018449682742357254,
0.004436821211129427,
-0.006415245123207569,
0.00866292230784893,
-0.06128041818737984,
-0.015897633507847786,
0.03727398067712784,
0.025879504159092903,
0.017481932416558266,
-0.028938842937350273,
0.019089646637439728,
0.0343082956969738,
0.0096462806686759,
0.018012635409832,
-0.002518881345167756,
-0.03249766677618027,
0.0468890443444252,
-0.0014838181668892503,
0.05534904822707176,
-0.01777850277721882,
-0.0545998252928257,
-0.04557789862155914,
0.002610583323985338,
-0.011175950057804585,
0.015312300994992256,
0.0052445800974965096,
-0.018059462308883667,
0.02238311804831028,
0.021025147289037704,
0.007180079817771912,
0.014071395620703697,
0.028564229607582092,
-0.011277408339083195,
-0.006540115922689438,
-0.04407944530248642,
-0.037149108946323395,
-0.025052234530448914,
-0.038210511207580566,
0.04879332333803177,
-0.04283073544502258,
-0.021430976688861847,
0.04083280265331268,
-0.003402733476832509,
-0.04676417261362076,
-0.008538051508367062,
0.021150017157197,
0.0011979807168245316,
-0.04083280265331268,
-0.012073460035026073,
-0.03327810764312744,
0.022273855283856392,
-0.045921292155981064,
-0.006423049606382847,
-0.08079150319099426,
-0.05556757375597954,
-0.020478835329413414,
-0.024989798665046692,
-0.0017120977863669395,
0.0026964321732521057,
0.013361192308366299,
0.047981664538383484,
-0.05122830718755722,
-0.07036478072404861,
-0.022945037111639977,
0.11812791973352432,
-0.0024057170376181602,
-0.00578308617696166,
0.0003648573183454573,
-0.016654662787914276,
-0.0006906924536451697,
-0.042643431574106216,
-0.033371761441230774,
-0.037804681807756424,
0.00563089968636632,
-0.057784032076597214,
-0.029407110065221786,
-0.01609274372458458,
0.013244125060737133,
0.06393393129110336,
0.011917371302843094,
0.01829359494149685,
-0.06580699235200882,
0.021680718287825584,
0.02392839640378952,
-0.06874145567417145,
0.05569244548678398,
0.02438105270266533,
-0.010504769161343575,
-0.024989798665046692,
0.02075979672372341,
-0.037180326879024506,
0.012003220617771149,
-0.02327282354235649,
-0.0343082956969738,
-0.014750381000339985,
0.02953197993338108,
0.02041640132665634,
-0.02987537533044815,
-0.021774372085928917,
0.022164594382047653,
0.007020088844001293,
0.024037659168243408,
0.026691166684031487,
0.03771102800965309,
-0.03892851993441582,
0.03256010264158249,
-0.022148985415697098,
-0.01749754138290882,
0.022601641714572906,
-0.007777119055390358,
0.01270561944693327,
-0.014414791017770767,
0.0007570301531814039,
0.030858734622597694,
-0.061904773116111755,
-0.020229093730449677,
-0.01695123128592968,
0.01020820066332817,
0.014656728133559227,
-0.015054753981530666,
0.04994837939739227,
0.014898665249347687,
0.006387929432094097,
-0.02021348476409912,
0.020775403827428818,
0.022820167243480682,
-0.07379873096942902,
0.02616046369075775,
0.04108254238963127,
0.023912787437438965,
-0.009201427921652794,
-0.05054151639342308,
-0.07535962015390396,
0.005178242456167936,
0.036524754017591476,
-0.014328941702842712,
-0.05435008183121681,
0.059469789266586304,
0.007059111259877682,
-0.02138414978981018,
0.02086905762553215,
0.014984514564275742,
0.020104223862290382,
0.017232190817594528,
-0.019776437431573868,
0.013735804706811905,
0.01770045794546604,
0.054443735629320145,
0.03586918115615845,
0.04960498586297035,
-0.03176404908299446,
0.03302836790680885,
-0.02338208630681038,
0.032716188579797745,
-0.018964776769280434,
-0.042893171310424805,
0.02090027555823326,
0.04236247017979622,
0.010379898361861706,
0.005404571071267128,
0.023772306740283966,
0.011316429823637009,
-0.04067671298980713,
-0.002446690108627081,
-0.009154601953923702,
-0.025208324193954468,
0.03452681750059128,
0.027596481144428253,
0.003459315514191985,
0.058502040803432465,
0.02647264115512371,
0.028517404571175575,
-0.040895238518714905,
0.019760828465223312,
-0.0454530268907547,
0.018855514004826546,
0.027346737682819366,
0.0005653336993418634,
-0.05010446906089783,
0.03568187355995178,
-0.025567326694726944,
0.017918981611728668,
-0.02141536772251129,
-0.01100425235927105,
-0.012658792547881603,
-0.017372671514749527,
-0.03056216612458229,
0.0032466447446495295,
-0.02609802968800068,
-0.017060494050383568,
0.03349663317203522,
-0.0010584763949736953,
-0.005267993081361055,
0.056472890079021454,
0.015070362947881222,
-0.0018808686872944236,
-0.0434550903737545,
0.042206380516290665,
-0.014141635037958622,
-0.014485030435025692,
-0.030265597626566887,
0.002325721550732851,
-0.00854585599154234,
-0.03633744642138481,
0.020026179030537605,
0.026285335421562195,
-0.044297970831394196,
-0.030811907723546028,
-0.0022652370389550924,
-0.006009414792060852,
-0.054755911231040955,
0.03864755854010582,
0.007394701708108187,
0.03533848002552986,
-0.05928248539566994,
-0.0042963409796357155,
0.04979229345917702,
0.04404822736978531,
-0.0018467243062332273,
-0.008873642422258854,
0.01684197038412094,
-0.05113465338945389,
0.010317462496459484,
0.005966490134596825,
-0.05225849524140358,
0.008311722427606583,
0.0007043502409942448,
0.055505137890577316,
0.007714683655649424,
-0.07879357039928436,
0.00854585599154234,
0.047326091676950455,
0.0046865628100931644,
-0.008928272873163223,
-0.0019364752806723118,
-0.02327282354235649,
-0.008171242661774158,
0.05194631591439247,
0.022148985415697098,
-0.030827516689896584,
-0.022164594382047653,
0.03767981007695198,
0.024833710864186287,
0.030780689790844917,
-0.04757583141326904,
0.014289919286966324,
-0.00850683357566595,
0.05765916407108307,
-0.010059916414320469,
0.045921292155981064,
-0.008725358173251152,
-0.005993805825710297,
-0.029750503599643707,
0.034058552235364914,
-0.04620225355029106,
-0.03861634060740471,
0.0012760250829160213,
0.030156334862113,
-0.01483623031526804,
-0.002534490078687668,
0.056191928684711456,
0.05563000962138176,
-0.013571911491453648,
-0.036150142550468445,
-0.07361142337322235,
0.016998058184981346,
-0.033059585839509964,
0.026519468054175377,
0.0328722782433033,
0.007488355040550232,
0.04251855984330177,
-0.000886778871063143,
-0.02278894931077957,
-0.015382540412247181,
-0.015554238110780716,
-0.021056365221738815,
-0.01912086457014084,
0.022492380812764168,
-0.0030983604956418276,
0.0035939421504735947,
0.046295907348394394,
0.003976359497755766,
0.0025735122617334127,
-0.001907208701595664,
-0.01684197038412094,
0.021259279921650887,
-0.02218020334839821,
0.03621257469058037,
0.03777346387505531,
0.012252962216734886,
-0.005346037447452545,
0.00873316265642643,
-0.06252913177013397,
0.030827516689896584,
-0.02481810189783573,
-0.047357309609651566,
-0.038834866136312485,
0.0032329868990927935,
0.03599405288696289,
0.022507989779114723,
-0.0016603934345766902,
-0.06555724889039993,
0.00013255343947093934,
0.09552627801895142,
-0.07873113453388214,
-0.042643431574106216,
0.0013218760723248124,
0.045671552419662476,
0.07479769736528397,
0.014726967550814152,
0.02623850852251053,
0.004030990414321423,
0.01550741121172905,
0.008787793107330799,
-0.008147829212248325,
-0.016514183953404427,
0.005849423818290234,
-0.03627501055598259,
-0.043923359364271164,
-0.019620347768068314,
0.02444348856806755,
-0.017544368281960487,
0.014875251799821854,
0.014812816865742207,
0.05634801834821701,
0.0060445345006883144,
0.00046216885675676167,
0.03318445384502411,
0.008639508858323097,
0.07323681563138962,
-0.028798364102840424,
0.003219329286366701,
0.02495858073234558,
-0.02041640132665634,
-0.022991864010691643,
-0.06555724889039993,
-0.0026261922903358936,
0.00931849516928196,
0.05484956502914429,
-0.04626468941569328,
-0.015803979709744453,
0.02644142508506775,
-0.0397401824593544,
-0.030062681064009666,
-0.009178015403449535,
0.014641119167208672,
0.0434550903737545,
-0.00555285532027483,
-0.0009340932592749596,
-0.02733113057911396,
-0.016170788556337357,
0.0054357885383069515,
0.010824751108884811,
0.04589007422327995,
-0.00005399083238444291,
-0.030109507963061333,
0.03533848002552986,
-0.005447495263069868,
-0.010543790645897388,
0.012229548767209053,
0.025910722091794014,
-0.01952669583261013,
-0.03499508276581764,
0.02936028316617012,
0.036431100219488144,
-0.007457137107849121,
0.044329188764095306,
-0.007710781414061785,
-0.010887186042964458,
-0.026535077020525932,
0.02272651344537735,
-0.011019861325621605,
0.00764834601432085,
-0.04279951751232147,
0.02080662176012993,
-0.03736763074994087,
-0.03842903673648834,
0.03836660087108612,
0.05132196098566055,
-0.01846529170870781,
-0.042861953377723694,
-0.01041891984641552,
0.03053094819188118,
-0.013267538510262966,
0.014586487784981728,
0.0012613916769623756,
0.054818347096443176,
0.057503074407577515,
0.017872154712677002,
-0.013759218156337738,
0.020947102457284927,
0.00458120321854949,
-0.039209477603435516,
0.016529792919754982,
-0.030546557158231735,
0.011652020737528801,
0.009802369400858879,
0.005201655440032482,
0.03090556152164936,
0.027518436312675476,
0.015843002125620842,
-0.022492380812764168,
0.0005336282192729414,
0.01809067837893963,
-0.012260766699910164,
-0.008210265077650547,
-0.01122277695685625,
0.03035924956202507,
-0.022835776209831238,
0.01282268576323986,
0.004916793666779995,
0.04298682510852814,
0.03796076774597168,
0.016576619818806648,
-0.009599454700946808,
0.03107725828886032,
-0.026894081383943558,
-0.00045558385318145156,
-0.010340875945985317,
-0.005205557681620121,
-0.021259279921650887,
0.0007116668857634068,
-0.0006306958384811878,
-0.050073251128196716,
0.022851385176181793,
-0.005720650311559439,
0.04485988989472389,
0.01052037812769413,
-0.009373125620186329,
-0.00014669897791463882,
0.03138943389058113,
0.05319502577185631,
0.03073386289179325,
0.014570878818631172,
-0.008701944723725319,
0.02169632725417614,
0.030921170487999916,
-0.029266629368066788,
-0.04476623609662056,
0.01100425235927105,
0.014664532616734505,
0.02410009317100048,
0.012284180149435997,
-0.010442333295941353,
0.016561010852456093,
-0.007980034686625004,
-0.06811710447072983,
0.007741998881101608,
-0.049667421728372574,
0.02850179560482502,
0.0017852643504738808,
-0.0020759794861078262,
-0.019573520869016647,
0.0033520045690238476,
0.010247222147881985,
0.004924598149955273,
-0.007948816753923893,
0.008194656111299992,
-0.006520605180412531,
0.037461284548044205,
0.01963595673441887,
-0.0015335713978856802,
-0.03705545514822006,
-0.006700106896460056,
0.01076231524348259,
0.07741998881101608,
0.03196696564555168,
0.03352785110473633,
0.000770687882322818,
0.049043066799640656,
0.009755543433129787,
0.0282988790422678,
0.0017657532589510083,
0.046701736748218536,
0.006423049606382847,
0.027690133079886436,
0.005182144697755575,
-0.021946070715785027,
-0.052820414304733276,
0.031717222183942795,
-0.03699301928281784,
0.028517404571175575,
0.007624932564795017,
0.023772306740283966,
0.007874674163758755,
-0.05200875177979469,
-0.03324688971042633,
0.021977286785840988,
-0.016826361417770386,
-0.025910722091794014,
0.01053598616272211,
0.0020174463279545307,
-0.009388734586536884,
-0.01574934832751751,
-0.007964425720274448,
-0.015366931445896626,
-0.009170210920274258,
-0.018137505277991295,
0.008241483010351658,
0.02847057767212391,
-0.06655621528625488,
0.03035924956202507,
-0.030140725895762444,
-0.03256010264158249,
0.03736763074994087,
0.030078290030360222,
-0.0008004422998055816,
0.021821198984980583,
-0.008998513221740723,
0.013610933907330036,
-0.05400668829679489,
0.02895445190370083,
0.02747160941362381,
-0.03661840781569481,
-0.030140725895762444,
-0.014087004587054253,
-0.034120988100767136,
-0.0006819124682806432,
0.0008306844974868,
-0.0067937602289021015,
-0.0005897225928492844,
0.012057851068675518,
-0.01519523374736309,
0.0014877202920615673,
0.0325913168489933,
-0.01313486322760582,
0.027143822982907295,
-0.0005999659188091755,
-0.050760041922330856,
-0.007905892096459866,
0.015218647196888924,
0.03664962574839592,
0.02709699608385563,
-0.04620225355029106,
0.027112605050206184,
-0.06293495744466782,
0.04551546275615692,
0.01375141367316246,
-0.02781500481069088,
-0.028892016038298607,
0.0010116498451679945,
0.02358500100672245,
-0.023506956174969673,
0.03280984237790108,
-0.006263058632612228,
0.019589129835367203,
-0.016561010852456093,
-0.01795019954442978,
0.008264896459877491,
-0.03808563947677612,
-0.025941940024495125,
0.008920468389987946,
-0.05600462108850479,
0.0003233962634112686,
-0.0007394701824523509,
0.02946954406797886,
0.01667027175426483,
0.0312957838177681,
0.04064549505710602,
-0.013673368841409683,
-0.014617705717682838,
-0.047013912349939346,
0.023023081943392754,
0.013212908059358597,
-0.03449559956789017,
0.02575463429093361,
-0.07279976457357407,
-0.002376450225710869,
-0.009888218715786934,
-0.017684848979115486,
0.026706775650382042,
0.020619316026568413,
0.058470822870731354,
-0.004054403863847256,
0.00016401507309637964,
-0.0035041910596191883,
0.04130106791853905,
-0.024427879601716995,
-0.060187797993421555,
-0.02090027555823326,
0.028314488008618355,
0.014141635037958622,
-0.06384027749300003,
-0.05690993741154671,
-0.013353387825191021,
-0.017903372645378113,
-0.0403021015226841,
0.01949547789990902,
0.009700912050902843,
-0.029485153034329414,
0.01921451836824417,
0.03299714997410774,
-0.0010575008345767856,
-0.02155584841966629,
-0.045983728021383286,
-0.019245736300945282,
0.012572944164276123,
0.041862986981868744,
0.02324160560965538,
0.014211875386536121,
0.019167691469192505,
0.0058260103687644005,
0.03433951362967491,
0.035494569689035416,
0.031514305621385574,
-0.01866820827126503,
0.01646735705435276,
0.016717098653316498,
-0.030078290030360222,
0.018746251240372658,
-0.008725358173251152,
0.04710756614804268,
0.044953543692827225,
0.010871577076613903,
0.00007450795965269208,
0.006711813621222973,
-0.0009457999258302152,
0.04267464950680733,
0.027518436312675476,
0.003336395835503936,
0.04102010652422905,
-0.005931370425969362,
0.06693083047866821,
0.011238385923206806,
0.008826815523207188,
0.008397571742534637,
0.016451748088002205,
-0.011113515123724937,
0.016904404386878014,
-0.033465415239334106,
-0.04205029457807541,
-0.06305982917547226,
-0.034058552235364914,
0.037461284548044205,
-0.015999089926481247,
0.038834866136312485,
0.01532010454684496,
0.007972230203449726,
-0.03724276274442673,
-0.0063332985155284405,
0.01294755656272173,
-0.020775403827428818,
-0.02055688016116619,
-0.0503229945898056,
0.008405376225709915,
-0.003611502004787326,
0.06006292998790741,
-0.009552627801895142,
-0.028860798105597496,
-0.05809621140360832,
-0.004190981388092041,
-0.05759672820568085,
0.022570423781871796,
-0.04183176904916763,
0.007640541531145573,
0.014687946066260338,
0.0035744309425354004,
0.017825327813625336,
-0.018199941143393517,
0.013111449778079987,
0.0012048095231875777,
0.011854936368763447,
0.005556757561862469,
-0.022664077579975128,
-0.0054904199205338955,
-0.03533848002552986,
-0.003937337081879377,
-0.016420530155301094,
0.018512118607759476,
-0.05506809055805206,
-0.021477803587913513,
0.027627699077129364,
-0.023881569504737854,
-0.017403889447450638,
0.02767452411353588,
-0.04539059102535248,
0.02664433978497982,
-0.060624849051237106,
-0.046295907348394394,
-0.006153796799480915,
0.028236445039510727,
-0.004019283689558506,
0.030421685427427292,
0.04654564708471298,
0.004998740274459124,
0.01915208250284195,
-0.02035396546125412,
0.009443365968763828,
-0.003459315514191985,
-0.039802614599466324,
0.010145764797925949,
-0.011456909589469433,
0.011979807168245316,
0.028064746409654617,
0.01399335078895092,
0.017247799783945084,
0.06555724889039993,
-0.027346737682819366,
0.06761761754751205,
0.017185363918542862,
0.00462412741035223,
0.002932516159489751,
-0.01067646685987711,
0.006754738278687,
0.05553635582327843,
0.023007472977042198,
-0.005868934560567141,
-0.010395506396889687,
0.044578928500413895,
0.035775527358055115,
-0.0010760363657027483,
-0.005431886296719313,
-0.02203972265124321,
-0.026410207152366638,
0.014102613553404808,
0.01146471407264471,
-0.008717553690075874,
0.01215150486677885,
-0.018246768042445183,
0.046670518815517426,
0.018995992839336395,
0.010075525380671024,
0.007999544963240623,
-0.010840359143912792,
-0.018605772405862808,
0.004682660568505526,
-0.0075000617653131485,
-0.026550685986876488,
0.016280051320791245,
0.04139472171664238,
0.004507061094045639,
0.004015381447970867,
0.015062558464705944,
-0.007191786542534828,
0.034807778894901276,
-0.0074259196408092976,
-0.012331006117165089,
-0.021337324753403664,
0.0051470245234668255,
0.001984277507290244,
0.00036827175063081086,
0.022945037111639977,
-0.0006526458309963346,
0.028454968705773354,
-0.04514084756374359,
-0.0021598772145807743,
-0.028595447540283203,
-0.023428913205862045,
0.030374858528375626,
-0.03262253478169441,
-0.0014965003356337547,
0.02352256514132023,
0.02149341255426407,
-0.01955791376531124,
0.04407944530248642,
-0.004073914606124163,
-0.015093776397407055,
-0.01100425235927105,
-0.03163917735219002,
0.013267538510262966,
0.008803402073681355,
0.04704513028264046,
0.010731097310781479,
-0.07148861885070801,
-0.017138538882136345,
0.00004213175270706415,
-0.010660857893526554,
0.009661889635026455,
0.030421685427427292,
-0.010005285032093525,
-0.020447619259357452,
0.037867117673158646,
0.021274888888001442,
0.008038567379117012,
0.028408141806721687,
0.06081215292215347,
-0.0022535305470228195,
0.044266752898693085,
-0.06302861124277115,
0.0017774599837139249,
0.008147829212248325,
-0.042861953377723694,
0.020400792360305786,
-0.010910599492490292,
-0.03674327954649925,
0.013212908059358597
] |
Neural networks (NNs) playing the role of controllers have demonstrated
impressive empirical performances on challenging control problems. However, the
potential adoption of NN controllers in real-life applications also gives rise
to a growing concern over the safety of these neural-network controlled systems
(NNCSs), especially when used in safety-critical applications. In this work, we
present POLAR-Express, an efficient and precise formal reachability analysis
tool for verifying the safety of NNCSs. POLAR-Express uses Taylor model
arithmetic to propagate Taylor models (TMs) across a neural network
layer-by-layer to compute an overapproximation of the neural-network function.
It can be applied to analyze any feed-forward neural network with continuous
activation functions. We also present a novel approach to propagate TMs more
efficiently and precisely across ReLU activation functions. In addition,
POLAR-Express provides parallel computation support for the layer-by-layer
propagation of TMs, thus significantly improving the efficiency and scalability
over its earlier prototype POLAR. Across the comparison with six other
state-of-the-art tools on a diverse set of benchmarks, POLAR-Express achieves
the best verification efficiency and tightness in the reachable set analysis. | [
-0.03626029193401337,
-0.0009349680040031672,
-0.029975425451993942,
-0.07127866894006729,
0.07650978118181229,
0.017687948420643806,
-0.009756596758961678,
0.041397325694561005,
-0.027510404586791992,
0.0212443545460701,
0.008138337172567844,
-0.0036551954690366983,
-0.004805382806807756,
-0.02830071561038494,
0.005137031432241201,
0.020284688100218773,
-0.018007835373282433,
-0.018581753596663475,
-0.035432346165180206,
-0.054832637310028076,
0.01834654062986374,
0.015072389505803585,
-0.005249933339655399,
-0.005555708892643452,
0.003389406017959118,
0.020736295729875565,
0.00003947152436012402,
-0.002467374550178647,
-0.04854777082800865,
0.04835960268974304,
0.00837355013936758,
0.02497011423110962,
-0.02103736810386181,
0.05264987051486969,
-0.014827769249677658,
-0.035996854305267334,
0.03861241415143013,
-0.006891713477671146,
-0.048171430826187134,
0.05980031564831734,
0.046365004032850266,
-0.01567453145980835,
0.04907464608550072,
-0.01778203248977661,
0.0038339567836374044,
0.019343839958310127,
0.006115513853728771,
-0.005188778042793274,
0.0450478158891201,
0.018638204783201218,
0.0003419395361561328,
-0.0012430958449840546,
0.06092933565378189,
-0.01125254575163126,
0.03010714426636696,
-0.0041561974212527275,
0.08219250291585922,
0.019033361226320267,
0.07259584963321686,
-0.03757748007774353,
0.05392942205071449,
-0.014743092469871044,
-0.07142920047044754,
-0.011233728379011154,
-0.0006133154965937138,
-0.06461746245622635,
0.04606393352150917,
-0.03876294940710068,
0.031857121735811234,
-0.030690470710396767,
-0.02850770205259323,
-0.010462232865393162,
-0.051332682371139526,
-0.021959397941827774,
0.05140795186161995,
0.02660718932747841,
-0.01617318205535412,
0.07417647540569305,
0.02993779256939888,
0.06266049295663834,
0.0326286181807518,
0.06616044789552689,
-0.05178428813815117,
0.02783029153943062,
0.041359689086675644,
0.02335185371339321,
0.025120649486780167,
-0.07526785880327225,
0.019701363518834114,
-0.0466284416615963,
0.004981791600584984,
0.005941457115113735,
-0.037690382450819016,
-0.0005236408906057477,
0.06917116791009903,
-0.010556317865848541,
0.0097095537930727,
-0.004878298379480839,
0.0008820452494546771,
0.04482201114296913,
-0.005231116432696581,
0.0011607715860009193,
-0.006919939070940018,
0.014884219504892826,
-0.005151144228875637,
-0.0549079068005085,
-0.05238643288612366,
0.04990259185433388,
0.0019052177667617798,
0.13999822735786438,
0.02393518015742302,
0.0019557883497327566,
0.00041132711339741945,
0.006477740593254566,
-0.03507482260465622,
-0.023577658459544182,
-0.0652572363615036,
-0.04421987012028694,
0.013162467628717422,
-0.017716173082590103,
-0.020134152844548225,
0.09686973690986633,
0.03328721225261688,
0.0011707680532708764,
-0.008453521877527237,
0.03136788308620453,
0.046967145055532455,
-0.016690649092197418,
-0.011149052530527115,
0.01855352893471718,
0.005503962282091379,
-0.0021851202473044395,
-0.007197489496320486,
-0.032534532248973846,
0.013237735256552696,
-0.041811298578977585,
0.022411005571484566,
-0.001981661655008793,
-0.01674710027873516,
-0.03865004703402519,
-0.03951562941074371,
-0.048397235572338104,
-0.00541458185762167,
0.05001549422740936,
0.04433277249336243,
0.009206200018525124,
-0.006647093221545219,
0.04617683216929436,
-0.007841970771551132,
0.0009373201173730195,
-0.040193039923906326,
0.025685157626867294,
0.007672617677599192,
0.04832196608185768,
0.09340741485357285,
0.007475039456039667,
-0.03400225564837456,
0.05487027019262314,
-0.03951562941074371,
-0.055622950196266174,
0.0194191075861454,
-0.04192420095205307,
0.01218398567289114,
0.04749402031302452,
0.023389488458633423,
0.03699415549635887,
-0.01373638492077589,
0.015768617391586304,
-0.09829983115196228,
0.03898875415325165,
-0.009869498200714588,
0.014263260178267956,
-0.018835783004760742,
-0.01962609589099884,
0.02227928675711155,
0.025496987625956535,
0.029617903754115105,
-0.016050871461629868,
-0.008641691878437996,
-0.007126925513148308,
-0.03740812838077545,
0.0008279464673250914,
-0.015232333913445473,
0.027152881026268005,
0.020077701658010483,
0.051483217626810074,
0.06871955841779709,
0.016455436125397682,
0.018958093598484993,
-0.0020592815708369017,
-0.010678627528250217,
0.06213362142443657,
0.017179889604449272,
-0.051520850509405136,
0.005819146521389484,
-0.03959089517593384,
-0.04207473620772362,
0.00625193677842617,
-0.002773150335997343,
-0.016888227313756943,
-0.008961579762399197,
-0.002490895800292492,
-0.002385050291195512,
-0.03567696735262871,
-0.029241563752293587,
-0.021827680990099907,
0.016408393159508705,
0.03814198821783066,
0.010847981087863445,
-0.04606393352150917,
0.025703975930809975,
-0.022768529132008553,
-0.004290268290787935,
-0.0709775909781456,
-0.05487027019262314,
-0.010631585493683815,
-0.03277915343642235,
-0.01614495739340782,
-0.021394889801740646,
-0.02416098304092884,
-0.007766702678054571,
0.011139643378555775,
0.015335827134549618,
-0.010358739644289017,
-0.02826308272778988,
0.018355950713157654,
0.00541458185762167,
0.015909744426608086,
-0.024104533717036247,
0.0007197489612735808,
-0.05660143122076988,
-0.01745273545384407,
0.024725493043661118,
0.062208887189626694,
-0.009154453873634338,
0.035808686167001724,
0.012212210334837437,
-0.016822367906570435,
-0.0076490966603159904,
-0.01720811426639557,
-0.043881163001060486,
-0.00047365829232148826,
0.05735411122441292,
-0.014611373655498028,
-0.018224231898784637,
-0.005729766096919775,
-0.01239097211509943,
0.06134330853819847,
0.03876294940710068,
0.018788740038871765,
-0.040531743317842484,
-0.051332682371139526,
0.004252634011209011,
-0.0030859822873026133,
-0.01302134059369564,
-0.017894934862852097,
-0.01985189877450466,
0.030878640711307526,
0.025327635928988457,
-0.015806250274181366,
0.05238643288612366,
0.05012839660048485,
0.011506574228405952,
0.04764455556869507,
-0.06025192514061928,
0.0009149749530479312,
-0.001685294439084828,
0.02783029153943062,
0.025101833045482635,
0.005979090929031372,
0.04230053722858429,
-0.0056356810964643955,
-0.0174715518951416,
-0.05471973493695259,
0.04030593857169151,
-0.04342955723404884,
-0.006120217964053154,
0.001685294439084828,
0.02954263612627983,
0.009192087687551975,
-0.04331665486097336,
-0.007884308695793152,
0.017066987231373787,
-0.039779067039489746,
0.018835783004760742,
-0.04783272743225098,
-0.02788674272596836,
0.028244266286492348,
-0.061832547187805176,
-0.0318383052945137,
-0.010264654643833637,
-0.0031353768426924944,
-0.08565482497215271,
0.013247143477201462,
0.037050604820251465,
0.02210993506014347,
-0.004090338014066219,
-0.04493491351604462,
0.006797628942877054,
-0.027962010353803635,
-0.006411881186068058,
0.015787433832883835,
0.045085448771715164,
0.024876028299331665,
0.022392189130187035,
-0.02433033660054207,
-0.007522081956267357,
0.008942763321101665,
-0.0061014010570943356,
-0.008839269168674946,
-0.00536753935739398,
-0.00017552700592204928,
-0.0556982196867466,
-0.07752589881420135,
0.016041463240981102,
-0.023182502016425133,
-0.015552221797406673,
0.007578532677143812,
-0.06563357263803482,
-0.0336635522544384,
0.07270875573158264,
0.02664482407271862,
-0.055246610194444656,
0.027152881026268005,
-0.021790046244859695,
-0.021827680990099907,
0.029392100870609283,
0.01600382849574089,
-0.05577348545193672,
-0.01907099410891533,
0.009681329131126404,
-0.02207230031490326,
-0.09634286165237427,
-0.07903125882148743,
0.018788740038871765,
-0.038499511778354645,
-0.05280040577054024,
0.003958619199693203,
-0.011713560670614243,
-0.043692994862794876,
0.024462055414915085,
0.027359867468476295,
-0.02105618454515934,
-0.004311437252908945,
-0.02002125233411789,
-0.08046134561300278,
-0.002514417050406337,
-0.03533826023340225,
-0.0357334166765213,
0.0016770620131865144,
0.0009920068550854921,
0.01672828197479248,
0.03343774750828743,
-0.028582971543073654,
0.08610643446445465,
-0.010424599051475525,
-0.05980031564831734,
0.014583148062229156,
0.014827769249677658,
-0.005038242321461439,
0.0016829423839226365,
-0.02372819371521473,
-0.04294031485915184,
0.014583148062229156,
-0.054381031543016434,
-0.011308996006846428,
-0.05456919968128204,
0.06307446956634521,
0.007719660177826881,
0.021394889801740646,
-0.02867705561220646,
0.06303683668375015,
0.013087200000882149,
0.0020498731173574924,
0.05347781628370285,
-0.04625210165977478,
0.013651708140969276,
-0.027980828657746315,
-0.04971442371606827,
0.01731160841882229,
-0.04440803825855255,
0.017189297825098038,
0.025873327627778053,
0.019682545214891434,
-0.02600504644215107,
0.07805277407169342,
0.006021428853273392,
-0.044445671141147614,
0.006858783774077892,
0.00448784651234746,
-0.0021451341453939676,
-0.014893628656864166,
-0.01299311500042677,
-0.03018241375684738,
0.03308022394776344,
0.0010866797529160976,
-0.002021647756919265,
-0.03712587431073189,
0.03853714466094971,
-0.039553262293338776,
-0.011628884822130203,
-0.04354245960712433,
-0.04587576165795326,
0.007837265729904175,
-0.0287335067987442,
0.034585583955049515,
-0.013764610514044762,
0.028752323240041733,
0.07267112284898758,
0.013115424662828445,
0.04982732608914375,
-0.041171520948410034,
-0.01731160841882229,
0.01010471023619175,
0.050278931856155396,
-0.0424887090921402,
-0.011798237450420856,
0.019456742331385612,
-0.019757814705371857,
-0.025553438812494278,
-0.018393583595752716,
0.024462055414915085,
0.027134064584970474,
-0.0087357759475708,
-0.018619388341903687,
0.043881163001060486,
-0.0025920369662344456,
-0.0047795092687010765,
0.00043631839798763394,
-0.008255943655967712,
0.004471381660550833,
0.01250387355685234,
0.03097272478044033,
-0.03765274956822395,
-0.030483484268188477,
-0.007324503734707832,
0.012118126265704632,
-0.017480961978435516,
-0.013134242035448551,
-0.04105861857533455,
-0.04339192435145378,
-0.028789957985281944,
0.012438014149665833,
-0.02685181051492691,
0.0051699611358344555,
-0.016182590276002884,
-0.03279796987771988,
-0.033945806324481964,
-0.02871469035744667,
-0.017292791977524757,
-0.007159855216741562,
0.03219582885503769,
-0.012917846441268921,
-0.07963339984416962,
-0.007921942509710789,
-0.002909573260694742,
-0.057730451226234436,
-0.04482201114296913,
-0.0010813875123858452,
-0.048209067434072495,
0.04975205659866333,
0.06529486924409866,
-0.012193393893539906,
-0.06950987130403519,
0.00680703716352582,
-0.001958140404894948,
-0.003236518008634448,
-0.020491676405072212,
0.012428605929017067,
-0.02248627319931984,
0.04143495857715607,
-0.04824670031666756,
0.049450986087322235,
0.018497077748179436,
0.025045381858944893,
-0.010236429050564766,
0.0023215431720018387,
-0.015843885019421577,
-0.02414216659963131,
-0.032534532248973846,
0.09559018164873123,
-0.015429912135004997,
0.002843713853508234,
0.026738908141851425,
0.023652926087379456,
0.02086801454424858,
0.055848754942417145,
-0.012588550336658955,
-0.02416098304092884,
-0.03441622853279114,
0.00950256735086441,
-0.021959397941827774,
-0.04459621012210846,
-0.04568759351968765,
-0.021225538104772568,
-0.011393672786653042,
-0.029429733753204346,
0.000028096816095057875,
0.08746125549077988,
0.0014077442465350032,
0.026889443397521973,
0.0032741520553827286,
0.009982400573790073,
-0.015533405356109142,
-0.0007109284633770585,
0.022335737943649292,
-0.002363881329074502,
-0.017151664942502975,
-0.03876294940710068,
-0.02803727798163891,
0.004915932193398476,
-0.05197246000170708,
0.019259164109826088,
0.01289902999997139,
0.02662600576877594,
0.015533405356109142,
0.020303506404161453,
-0.0064918529242277145,
0.002620262559503317,
0.050278931856155396,
-0.0001442143984604627,
0.022015849128365517,
-0.006745882332324982,
0.014169175177812576,
-0.0025755721144378185,
0.030690470710396767,
-0.008589944802224636,
0.0007520905928686261,
-0.001627667574211955,
0.00829357746988535,
0.010245838202536106,
0.0556982196867466,
-0.02600504644215107,
-0.0075032650493085384,
-0.02004006877541542,
-0.04708004742860794,
-0.02165832743048668,
0.03842424228787422,
-0.018995726481080055,
-0.017565637826919556,
-0.04564995691180229,
0.06254759430885315,
0.013679933734238148,
0.02579805999994278,
-0.03648609668016434,
0.008255943655967712,
0.0017934920033439994,
-0.013755202293395996,
0.01743391901254654,
-0.020792746916413307,
-0.04542415589094162,
0.02103736810386181,
-0.005757991690188646,
0.024236252531409264,
0.012729677371680737,
-0.02207230031490326,
-0.0018769922899082303,
-0.011271362192928791,
0.01888282410800457,
-0.027924377471208572,
-0.03392698988318443,
-0.022241653874516487,
-0.041359689086675644,
-0.02991897612810135,
-0.014206808991730213,
-0.04606393352150917,
-0.015759209170937538,
0.050053127110004425,
-0.03716350719332695,
-0.008796931244432926,
-0.029185114428400993,
0.0143667533993721,
0.016690649092197418,
0.0231636855751276,
0.023013148456811905,
-0.001718224142678082,
0.017528003081679344,
0.018271273002028465,
-0.006106105167418718,
-0.010575134307146072,
-0.018732288852334023,
-0.014611373655498028,
0.005908527411520481,
0.020566944032907486,
-0.006915234960615635,
-0.025459354743361473,
-0.029053395614027977,
-0.00857112742960453,
0.05238643288612366,
-0.040757548063993454,
-0.02783029153943062,
0.031292613595724106,
0.034773752093315125,
0.030408216640353203,
-0.03793500363826752,
0.014225626364350319,
0.0126920435577631,
-0.024217434227466583,
-0.019757814705371857,
-0.05280040577054024,
0.027303416281938553,
0.013077790848910809,
0.036467280238866806,
0.002327423542737961,
0.02910984493792057,
0.016671830788254738,
-0.005819146521389484,
0.010274062864482403,
0.04610156640410423,
-0.0013336524134501815,
-0.013482355512678623,
-0.015636898577213287,
0.04564995691180229,
-0.0231636855751276,
0.014394978992640972,
0.02581687644124031,
0.02478194423019886,
0.005198186729103327,
0.016135547310113907,
0.0047207060270011425,
0.015646306797862053,
-0.02847006916999817,
0.009474341757595539,
-0.047192949801683426,
0.011346629820764065,
0.04911227896809578,
0.004047999624162912,
-0.04312848672270775,
0.0023168388288468122,
0.00485477689653635,
0.01302134059369564,
0.00992594938725233,
-0.01569334976375103,
0.004203239921480417,
0.021827680990099907,
0.019945982843637466,
0.005993203725665808,
0.02500774711370468,
-0.0028084320947527885,
0.014573739841580391,
0.02147015742957592,
0.0018334781052544713,
0.020303506404161453,
0.06299920380115509,
0.002900164807215333,
-0.001228983048349619,
0.01981426402926445,
0.01085738930851221,
0.054983172565698624,
0.04745638743042946,
0.030822189524769783,
0.038725316524505615,
0.04237580671906471,
0.04708004742860794,
0.020585760474205017,
-0.020943282172083855,
0.061418574303388596,
-0.005696836393326521,
-0.02643783576786518,
-0.011976998299360275,
-0.02728459984064102,
-0.011149052530527115,
-0.02521473355591297,
0.053778886795043945,
0.033362481743097305,
-0.028639420866966248,
0.013275369070470333,
0.030238863080739975,
-0.002580276457592845,
0.045123085379600525,
-0.015702757984399796,
-0.009972991421818733,
-0.01838417537510395,
0.00604024576023221,
0.016972903162240982,
-0.03428450971841812,
0.01691645197570324,
0.047757457941770554,
0.017716173082590103,
-0.0042596906423568726,
-0.05140795186161995,
0.016389576718211174,
0.028808774426579475,
0.02352120727300644,
-0.009643695317208767,
-0.0028248969465494156,
0.015298193320631981,
-0.0023615292739123106,
-0.02148897387087345,
0.03306140750646591,
-0.02867705561220646,
-0.07124102860689163,
-0.020886830985546112,
-0.0003137140884064138,
0.029279198497533798,
0.018769923597574234,
0.0007179848616942763,
-0.04482201114296913,
0.036636631935834885,
-0.02660718932747841,
-0.0036904774606227875,
-0.001135486294515431,
-0.007625575177371502,
0.012861396186053753,
-0.022580359131097794,
0.0022650922182947397,
0.01912744529545307,
0.012616774998605251,
-0.00047424633521586657,
-0.000045609089283971116,
0.009436707943677902,
0.04354245960712433,
-0.019908349961042404,
0.02948618493974209,
0.037690382450819016,
-0.009497863240540028,
0.05720357596874237,
-0.013708159327507019,
0.012795536778867245,
0.04271451011300087,
0.024687858298420906,
0.022204019129276276,
-0.03281678631901741,
-0.04215000197291374,
-0.05449393391609192,
0.031104443594813347,
0.03865004703402519,
-0.03840542584657669,
0.014526697807013988,
-0.0027378685772418976,
0.021978216245770454,
-0.0007650272455066442,
-0.01373638492077589,
0.009831864386796951,
0.016803549602627754,
-0.017076395452022552,
0.030690470710396767,
0.03865004703402519,
0.003173010889440775,
0.00837355013936758,
0.02604268118739128,
-0.013416496105492115,
0.04926281422376633,
-0.004504311364144087,
0.022617992013692856,
-0.004116211086511612,
-0.06047772616147995,
0.01736805960536003,
0.017396284267306328,
-0.01343531347811222,
0.06698840111494064,
0.013811652548611164,
0.01591915264725685,
-0.04188656434416771,
-0.04866067320108414,
0.039139289408922195,
0.016257857903838158,
0.020566944032907486,
-0.011788829229772091,
-0.007630279753357172,
-0.029260382056236267,
0.06977330893278122,
-0.02831953391432762,
0.01413154136389494,
0.04391879588365555,
-0.049037013202905655,
-0.025026563555002213,
-0.009417891502380371,
0.021187903359532356,
-0.03895111754536629,
0.036241475492715836,
0.012136942707002163,
0.026701273396611214,
-0.02743513509631157,
0.01569334976375103,
-0.00266260071657598,
0.025290001183748245,
0.015204108320176601,
0.03825489059090614,
0.04832196608185768,
0.017095213755965233,
-0.01803606189787388,
0.005447511561214924,
0.017753807827830315,
-0.023464756086468697,
0.015015938319265842,
-0.02150779217481613,
-0.008938058279454708,
0.023596474900841713,
0.026362568140029907,
0.014526697807013988,
0.0011778244515880942,
-0.015947379171848297,
0.03221464529633522,
0.020604576915502548,
0.004240873735398054,
-0.05185955762863159,
-0.01693526841700077,
-0.004603100009262562,
-0.06217125430703163,
0.02391636371612549,
-0.01196759007871151,
0.006684727035462856,
-0.003189475741237402,
0.028771139681339264,
0.014498472213745117,
-0.015947379171848297,
0.011911138892173767,
0.006016724742949009,
0.0027872631326317787,
0.018939275294542313,
-0.03178185597062111,
-0.009954174980521202,
0.031085627153515816,
0.0029283901676535606,
-0.014404387213289738,
0.05020366609096527,
0.05660143122076988,
-0.0009114467538893223,
-0.000562744855415076,
-0.01302134059369564,
-0.057316478341817856,
-0.015241742134094238,
-0.019325023517012596,
-0.02229810506105423,
-0.06747763603925705,
0.01322832703590393,
-0.029617903754115105,
0.037464577704668045,
0.00532520143315196,
-0.04064464569091797,
0.08678384870290756,
-0.02645665407180786,
0.028808774426579475,
-0.036015670746564865,
0.009479046799242496,
-0.0024650224950164557,
0.033117860555648804,
0.002514417050406337,
0.0002826955169439316,
-0.003913928754627705,
0.028582971543073654,
0.015853293240070343,
0.008312394842505455,
-0.021526608616113663,
0.02480076067149639,
0.005541596561670303,
0.023577658459544182,
-0.0007567948196083307,
-0.03757748007774353,
-0.033569466322660446,
0.07425174862146378,
0.02969317138195038,
0.04877357557415962,
-0.005772104021161795,
-0.0202094204723835,
0.07620871067047119,
0.04485964775085449,
-0.003252982860431075,
0.01569334976375103,
-0.015495771542191505,
0.009384961798787117,
0.05528424680233002,
-0.012927255593240261,
0.022392189130187035,
0.0309539083391428,
0.036448463797569275,
-0.0268141757696867,
-0.0034787864424288273,
-0.047418754547834396,
0.029787257313728333,
0.015552221797406673,
0.020190604031085968,
0.059988487511873245,
0.034133974462747574,
0.030013060197234154,
0.010669219307601452,
-0.0416983962059021,
0.017650313675403595,
0.01720811426639557,
-0.014178583398461342,
0.015100615099072456,
0.041773661971092224,
-0.0038598300889134407,
-0.009380257688462734,
-0.01598501205444336,
-0.015241742134094238,
-0.054381031543016434,
-0.007079883478581905,
-0.04854777082800865,
0.023013148456811905,
0.020717479288578033,
-0.04888647794723511,
-0.03710705786943436,
0.035996854305267334,
-0.0043467190116643906,
-0.033550649881362915,
0.0014736036537215114,
-0.018478259444236755,
-0.012964889407157898,
0.0018064286559820175,
-0.047606922686100006,
-0.035846319049596786,
-0.05840786173939705,
0.0052122995257377625,
-0.011704152449965477,
0.02000243403017521,
0.009841272607445717,
0.036862436681985855,
-0.01672828197479248,
-0.016558930277824402,
-0.012165168300271034,
-0.01797020249068737,
-0.02393518015742302,
0.0038998161908239126,
0.043692994862794876,
-0.0636766105890274,
-0.014376161620020866,
0.018751107156276703,
0.0025849805679172277,
-0.01010471023619175,
-0.007221010513603687,
-0.017217524349689484,
0.02209111675620079,
0.001751153846271336,
0.013962188735604286,
0.02604268118739128,
0.010565726086497307,
-0.004892411176115274,
0.021790046244859695,
-0.025741608813405037,
0.01664360612630844,
-0.002094563562422991,
-0.01454551424831152,
0.00959665235131979,
0.023634109646081924,
0.01695408672094345,
-0.014912445098161697,
-0.043655361980199814,
-0.004831255879253149,
-0.03654254600405693,
-0.04087045043706894,
0.013999822549521923,
0.017923159524798393,
0.030916273593902588,
-0.031104443594813347,
0.03347538039088249,
0.011440714821219444,
0.01278612855821848,
0.02002125233411789,
0.03451031446456909,
-0.038913484662771225,
0.007714956067502499,
0.0022156976629048586,
-0.055848754942417145,
0.0157968420535326,
-0.02022823877632618,
-0.045499421656131744,
-0.04113388806581497,
0.042865049093961716,
-0.016464844346046448,
-0.03836779296398163,
-0.03710705786943436,
-0.010876205749809742,
-0.023069599643349648,
0.013209509663283825,
0.012607366777956486,
-0.032496899366378784,
0.035187724977731705,
0.015665123239159584,
-0.027171697467565536,
-0.011308996006846428,
0.037050604820251465,
0.01938147470355034,
0.012645000591874123,
0.0311985295265913,
0.04395643249154091,
-0.03857478126883507,
-0.010038850829005241,
0.012776719406247139,
0.009888315573334694,
0.016822367906570435,
0.02109381929039955,
-0.03737049549818039,
0.0135293984785676,
-0.06875719130039215,
-0.002749629085883498,
-0.006741177756339312,
0.005536891985684633,
0.01508179772645235,
-0.01454551424831152,
-0.011610067449510098,
-0.02480076067149639,
-0.0006433050148189068,
-0.0006168436375446618,
0.03349420055747032,
-0.036034490913152695,
-0.047381117939949036,
0.0066376845352351665,
-0.02703997865319252,
-0.03076573833823204,
-0.004125619772821665,
-0.004977087490260601,
0.028601787984371185,
-0.011073783971369267,
0.012936663813889027,
0.02436797134578228,
-0.022749710828065872,
-0.025101833045482635,
-0.01289902999997139,
-0.026569554582238197,
-0.005296975839883089,
-0.0013901033671572804,
-0.011083193123340607,
-0.03116089478135109,
0.031706586480140686,
-0.0512574128806591,
0.04519835114479065,
-0.002363881329074502,
0.0018769922899082303,
0.0005133503582328558,
-0.00681174173951149,
0.02662600576877594,
0.030483484268188477
] |
The task of dimensionality reduction and visualization of high-dimensional
datasets remains a challenging problem since long. Modern high-throughput
technologies produce newer high-dimensional datasets having multiple views with
relatively new data types. Visualization of these datasets require proper
methodology that can uncover hidden patterns in the data without affecting the
local and global structures within the data. To this end, however, very few
such methodology exist, which can realise this task. In this work, we have
introduced a novel unsupervised deep neural network model, called NeuroDAVIS,
for data visualization. NeuroDAVIS is capable of extracting important features
from the data, without assuming any data distribution, and visualize
effectively in lower dimension. It has been shown theoritically that
neighbourhood relationship of the data in high dimension remains preserved in
lower dimension. The performance of NeuroDAVIS has been evaluated on a wide
variety of synthetic and real high-dimensional datasets including numeric,
textual, image and biological data. NeuroDAVIS has been highly competitive
against both t-Distributed Stochastic Neighbor Embedding (t-SNE) and Uniform
Manifold Approximation and Projection (UMAP) with respect to visualization
quality, and preservation of data size, shape, and both local and global
structure. It has outperformed Fast interpolation-based t-SNE (Fit-SNE), a
variant of t-SNE, for most of the high-dimensional datasets as well. For the
biological datasets, besides t-SNE, UMAP and Fit-SNE, NeuroDAVIS has also
performed well compared to other state-of-the-art algorithms, like Potential of
Heat-diffusion for Affinity-based Trajectory Embedding (PHATE) and the siamese
neural network-based method, called IVIS. Downstream classification and
clustering analyses have also revealed favourable results for
NeuroDAVIS-generated embeddings. | [
0.04989044740796089,
-0.01172525156289339,
-0.032518476247787476,
0.014806036837399006,
0.058792341500520706,
0.017920037731528282,
-0.0016452305717393756,
0.009699075482785702,
0.020029254257678986,
0.02130807191133499,
0.004120861180126667,
-0.04842894524335861,
0.01723911054432392,
-0.02439716085791588,
-0.014365924522280693,
0.008810547180473804,
-0.003510517068207264,
-0.00648542633280158,
-0.01780378259718418,
-0.03304992988705635,
0.03006049059331417,
0.01545374933630228,
-0.034544650465250015,
-0.02705444023013115,
0.023184776306152344,
0.054939281195402145,
0.050986576825380325,
0.002108178799971938,
-0.07247733324766159,
0.0406896136701107,
0.005094505846500397,
-0.0007297142292372882,
0.0343453548848629,
-0.05145160108804703,
-0.012597172521054745,
0.01121040340512991,
0.009043059311807156,
0.015104981139302254,
0.02808413654565811,
0.0606856532394886,
0.024264296516776085,
-0.02627386525273323,
-0.009632643312215805,
0.006925538182258606,
0.0035333530977368355,
-0.014797733165323734,
-0.0703515112400055,
-0.013668389059603214,
0.02243741601705551,
0.013917508535087109,
-0.004637785721570253,
-0.03969313204288483,
-0.05650043487548828,
-0.0055221617221832275,
-0.08151209354400635,
0.03902881219983101,
0.05062120035290718,
0.03610580414533615,
0.0995151698589325,
0.032452043145895004,
0.05095336213707924,
-0.011957763694226742,
0.009167619049549103,
-0.0019628587178885937,
0.04935899376869202,
-0.024098215624690056,
0.04803035035729408,
-0.03919489309191704,
0.005285497754812241,
-0.03346513211727142,
0.009258963167667389,
0.03323261812329292,
-0.04560558497905731,
0.020693574100732803,
0.0009700113441795111,
-0.008067338727414608,
0.05304596945643425,
0.054573904722929,
0.008536514826118946,
-0.00430977763608098,
0.06922216713428497,
-0.014797733165323734,
-0.0020137205719947815,
0.03079124167561531,
0.09160976111888885,
-0.0020853427704423666,
0.010911460034549236,
-0.06055278703570366,
0.028781672939658165,
-0.0016192805487662554,
-0.061150677502155304,
0.0465688481926918,
-0.00021823956922162324,
-0.021905958652496338,
0.020245159044861794,
0.010853331536054611,
0.03231918066740036,
-0.009823635220527649,
0.0009020222933031619,
-0.020361414179205894,
-0.02039463073015213,
-0.01033848337829113,
0.011251923628151417,
-0.004737433511763811,
0.01468978077173233,
-0.09260623902082443,
0.007398866582661867,
0.010006323456764221,
-0.00583356199786067,
0.10071094334125519,
-0.01655818149447441,
-0.005327017977833748,
-0.05988846719264984,
-0.004372057504951954,
-0.014299492351710796,
0.00035603411379270256,
-0.05161768198013306,
-0.043346893042325974,
-0.0031285330187529325,
-0.10031235218048096,
-0.01031357143074274,
0.015271061100065708,
-0.0243473369628191,
0.004014985170215368,
-0.02942938543856144,
0.0404571034014225,
-0.017753958702087402,
-0.012829684652388096,
-0.0030745570547878742,
0.01733875833451748,
-0.005924906115978956,
0.001585026504471898,
0.024928616359829903,
-0.005729761905968189,
0.006124202162027359,
0.03275098651647568,
0.032452043145895004,
0.006024553906172514,
-0.014257973060011864,
0.012696820311248302,
-0.01191624440252781,
-0.04520699009299278,
-0.027718761935830116,
-0.03620545193552971,
0.015802517533302307,
0.012323140166699886,
-0.0016618386143818498,
0.09978089481592178,
-0.0212914627045393,
0.01432440523058176,
-0.04653563350439072,
0.05699867382645607,
0.007037642411887646,
0.014075284823775291,
0.04666849598288536,
0.03148877993226051,
0.025609545409679413,
-0.025792231783270836,
0.003197041107341647,
-0.0773933082818985,
0.08317289501428604,
-0.039792779833078384,
0.044609103351831436,
0.05626792460680008,
0.04168609529733658,
0.03630509972572327,
0.002663508988916874,
0.006622442044317722,
-0.004318081308156252,
0.04806356877088547,
0.0002753295993898064,
0.0317545048892498,
0.04361262172460556,
0.0337640754878521,
-0.043413326144218445,
0.023234600201249123,
0.02531060017645359,
-0.014673172496259212,
-0.06407368928194046,
-0.01610146090388298,
-0.0795191302895546,
-0.02411482483148575,
0.03892916440963745,
0.04225076735019684,
0.014017156325280666,
0.06317685544490814,
0.11373162269592285,
0.03383050858974457,
0.05400923267006874,
-0.039626702666282654,
0.04039067029953003,
0.038098763674497604,
0.03667047619819641,
-0.03231918066740036,
0.014756212942302227,
-0.057031892240047455,
0.006589226424694061,
0.04039067029953003,
0.0216402318328619,
0.014365924522280693,
-0.08098063617944717,
-0.05557038635015488,
0.022553671151399612,
0.01938154175877571,
0.015744389966130257,
0.043512973934412,
0.01471469271928072,
-0.010969587601721287,
0.017438406124711037,
-0.020328199490904808,
-0.01251413207501173,
-0.004986553452908993,
-0.09200835227966309,
-0.004380361642688513,
-0.015752693638205528,
0.0005132911610417068,
-0.026240648701786995,
-0.011824900284409523,
0.006651506293565035,
0.012065716087818146,
-0.0259915292263031,
0.033531561493873596,
0.05141838639974594,
-0.01570286974310875,
-0.004187293350696564,
0.026307079941034317,
0.03936097398400307,
-0.005393449682742357,
0.012223492376506329,
0.007631378713995218,
0.01219858042895794,
0.010263747535645962,
0.030243178829550743,
-0.016541574150323868,
-0.0009871383663266897,
-0.029960842803120613,
0.01248091645538807,
-0.017870213836431503,
-0.031555209308862686,
-0.004355449695140123,
0.02248723991215229,
-0.021756486967206,
-0.030293002724647522,
0.02514452114701271,
0.024596456438302994,
0.04500769451260567,
0.00324271316640079,
0.015420532785356045,
0.07134798914194107,
0.04052353277802467,
0.02622404135763645,
-0.014382532797753811,
0.03627188503742218,
0.025410247966647148,
-0.06829211860895157,
-0.002356260782107711,
-0.011534259654581547,
0.0048578414134681225,
0.00690477853640914,
-0.010305267758667469,
0.0032344090286642313,
-0.015511876903474331,
-0.0034939092583954334,
0.06430619955062866,
0.00918422732502222,
0.01903277449309826,
0.05653364956378937,
0.030575338751077652,
0.06254574656486511,
0.042350415140390396,
-0.005841866135597229,
-0.02688836120069027,
-0.05311240255832672,
-0.044941261410713196,
-0.003743029199540615,
0.006418994162231684,
0.047598544508218765,
-0.020427847281098366,
0.04500769451260567,
-0.02034480683505535,
0.05055476725101471,
-0.031953804194927216,
-0.017488230019807816,
0.04078926146030426,
-0.07154728472232819,
-0.036637261509895325,
0.060984596610069275,
-0.014042068272829056,
-0.0157609973102808,
-0.026622632518410683,
-0.014299492351710796,
-0.01297085266560316,
-0.03853057324886322,
-0.022520456463098526,
0.007739330641925335,
-0.03016013838350773,
-0.028150569647550583,
-0.026024743914604187,
0.04049031808972359,
-0.08788956701755524,
-0.08423580229282379,
0.0261077843606472,
0.02095930278301239,
0.04158644750714302,
0.00016387431242037565,
0.016533270478248596,
0.0004774801491294056,
0.08549801260232925,
-0.026257256045937538,
-0.029180265963077545,
-0.026904968544840813,
0.056965459138154984,
0.0169401653110981,
-0.03995886072516441,
0.02457984909415245,
0.015827428549528122,
0.04673492908477783,
0.0026946489233523607,
0.012331443838775158,
-0.052846673876047134,
-0.022387592121958733,
0.027868233621120453,
-0.05185019224882126,
0.04105499014258385,
0.0037471812684088945,
-0.004268257413059473,
-0.004774801433086395,
0.04354619234800339,
0.006182330194860697,
0.039460621774196625,
-0.013369444757699966,
-0.045173775404691696,
-0.06440584361553192,
0.021391110494732857,
0.0813792273402214,
0.018451495096087456,
-0.043911565095186234,
0.022836007177829742,
-0.042450062930583954,
-0.0255265049636364,
0.0065310983918607235,
0.013219972141087055,
-0.0199960395693779,
-0.021673446521162987,
-0.01530427671968937,
-0.02157379873096943,
-0.03373086079955101,
0.009217442944645882,
0.01389259658753872,
0.007876346819102764,
0.001016721362248063,
-0.00023977807722985744,
-0.020477671176195145,
-0.007128986530005932,
0.0006015212275087833,
-0.026871753856539726,
-0.026456553488969803,
-0.015910468995571136,
0.005356081761419773,
0.007722722832113504,
0.020809831097722054,
-0.013444180600345135,
-0.009640946984291077,
0.02062714286148548,
-0.07347381860017776,
-0.03657082840800285,
-0.020261766389012337,
-0.01903277449309826,
0.007838978432118893,
0.07759260386228561,
-0.01938154175877571,
-0.0008309193071909249,
-0.06716277450323105,
-0.010695555247366428,
-0.022287944331765175,
-0.009541299194097519,
-0.01121040340512991,
0.0007572212489321828,
-0.004147849511355162,
0.024662887677550316,
-0.009375219233334064,
0.013651780784130096,
-0.07931983470916748,
0.03806554898619652,
0.01750483736395836,
0.06706312298774719,
0.023467112332582474,
0.044144079089164734,
0.01650005392730236,
0.01409189309924841,
-0.02451341599225998,
-0.03517575562000275,
0.003929869271814823,
-0.04713352024555206,
0.04161966219544411,
0.029512425884604454,
0.03570721298456192,
-0.01502194069325924,
0.05576968193054199,
-0.010355091653764248,
-0.09028112143278122,
0.03799911588430405,
-0.05201627314090729,
-0.0703515112400055,
-0.020892871543765068,
-0.007834826596081257,
-0.03424570709466934,
0.006028706207871437,
0.040091726928949356,
0.012389572337269783,
0.007926170714199543,
-0.012165363878011703,
0.003612241242080927,
0.010654035955667496,
0.02394874393939972,
-0.011393091641366482,
0.021225031465291977,
-0.00018722930690273643,
-0.025576328858733177,
-0.012887812219560146,
0.011874724179506302,
-0.0017812085570767522,
0.0021445087622851133,
0.011658820323646069,
-0.03799911588430405,
0.030425867065787315,
-0.02180631086230278,
-0.004832929465919733,
0.004720825701951981,
-0.0259915292263031,
0.031140010803937912,
0.0009928473737090826,
-0.029113834723830223,
-0.018335238099098206,
-0.04935899376869202,
0.004289017524570227,
-0.03789946809411049,
-0.00810470711439848,
-0.03520897030830383,
-0.000011401784831832629,
-0.07334095239639282,
-0.0050529856234788895,
0.05636757239699364,
-0.03766695782542229,
-0.10383325070142746,
-0.013161844573915005,
-0.01565304584801197,
-0.033979978412389755,
-0.03321601077914238,
-0.005148481577634811,
-0.05344456061720848,
0.015545093454420567,
-0.09672502428293228,
-0.10954640805721283,
0.05327848345041275,
-0.03819841146469116,
-0.09054684638977051,
0.004949185531586409,
-0.014158324338495731,
-0.03869665414094925,
-0.005111113656312227,
0.031372521072626114,
-0.03281741961836815,
-0.009383522905409336,
-0.007735178805887699,
0.0255265049636364,
0.0023853247985243797,
-0.07965199649333954,
0.012630388140678406,
0.049226127564907074,
0.025443464517593384,
0.0024268447887152433,
0.020378023386001587,
0.04706708714365959,
-0.010678947903215885,
0.006805130280554295,
-0.010678947903215885,
-0.04480839893221855,
0.035341836512088776,
0.01497211679816246,
0.026821928098797798,
0.024928616359829903,
0.003628849284723401,
0.01488907728344202,
-0.04899361729621887,
0.03909524530172348,
-0.01025544386357069,
0.01790343038737774,
0.019248679280281067,
-0.060353491455316544,
0.03084106557071209,
0.003527125110849738,
-0.03401319682598114,
-0.06121710687875748,
-0.01616789400577545,
-0.01333622820675373,
0.003610165324062109,
0.010654035955667496,
0.06550197303295135,
0.09898371249437332,
-0.005372690036892891,
0.00022329982311930507,
-0.025111304596066475,
0.006875714287161827,
0.00929217878729105,
0.04935899376869202,
0.005829410161823034,
0.014448964968323708,
-0.004073113203048706,
-0.027037832885980606,
0.03956026956439018,
-0.005742217879742384,
0.008976627141237259,
-0.014224756509065628,
0.007838978432118893,
0.0030724811367690563,
-0.03246865049004555,
0.007818218320608139,
0.03507610782980919,
0.004095949232578278,
0.01712285354733467,
0.03773338720202446,
-0.0028088288381695747,
0.02514452114701271,
-0.037368010729551315,
0.014789428561925888,
-0.013801252469420433,
-0.023865703493356705,
-0.02034480683505535,
0.003055873094126582,
-0.040191374719142914,
0.015005333349108696,
-0.02203882299363613,
-0.04055675119161606,
0.015262757427990437,
0.010114275850355625,
0.031223051249980927,
-0.003122305031865835,
0.010944675654172897,
-0.04168609529733658,
-0.020710183307528496,
0.026307079941034317,
0.011285140179097652,
-0.03100714646279812,
-0.02587527222931385,
-0.02853255346417427,
0.00013104754907544702,
-0.043346893042325974,
-0.028798282146453857,
-0.017438406124711037,
0.025327209383249283,
-0.012472611851990223,
-0.02215507999062538,
-0.0371687151491642,
0.008474234491586685,
-0.02745303325355053,
-0.04570523276925087,
-0.01361856423318386,
-0.008943410590291023,
-0.032966889441013336,
-0.015752693638205528,
0.05596897751092911,
-0.003350665094330907,
-0.019082598388195038,
0.012281619943678379,
-0.003506365232169628,
-0.03574042767286301,
0.06948789209127426,
-0.000961707322858274,
-0.002260764827951789,
-0.012414484284818172,
-0.003527125110849738,
-0.03290046006441116,
-0.0034648452419787645,
-0.013037284836173058,
0.034146059304475784,
0.018036294728517532,
-0.011418003588914871,
-0.009682467207312584,
0.022271335124969482,
0.03919489309191704,
-0.00655185803771019,
0.010139187797904015,
0.030591946095228195,
0.008092250674962997,
0.012132148258388042,
-0.018783655017614365,
-0.03580686077475548,
-0.008059035055339336,
-0.002588772913441062,
0.021540584042668343,
0.055105362087488174,
0.048727888613939285,
0.007145594339817762,
0.019198855385184288,
0.01121040340512991,
0.005065441597253084,
0.02665584906935692,
0.06015419587492943,
-0.024430375546216965,
-0.01192454807460308,
0.04450945556163788,
0.021092167124152184,
0.0597556047141552,
0.003089088946580887,
0.018451495096087456,
0.010230530984699726,
-0.018268806859850883,
0.04786427319049835,
-0.013012371957302094,
-0.02592509612441063,
-0.023350855335593224,
0.019929606467485428,
-0.02316816709935665,
-0.0028524249792099,
0.03726836293935776,
0.024563239887356758,
0.012223492376506329,
-0.03349834680557251,
0.01033848337829113,
0.03107357770204544,
0.018733831122517586,
0.046303119510412216,
-0.011036019772291183,
0.047764625400304794,
0.048661455512046814,
0.009964803233742714,
-0.057197969406843185,
0.008876979351043701,
-0.019846566021442413,
0.01499702874571085,
0.011858115904033184,
-0.010761987417936325,
-0.027386602014303207,
0.043014734983444214,
-0.011534259654581547,
0.0317545048892498,
0.018966343253850937,
0.020195335149765015,
0.0020137205719947815,
0.010105971246957779,
0.025725800544023514,
-0.03391354903578758,
0.029645290225744247,
-0.0272869523614645,
0.01650005392730236,
-0.012389572337269783,
-0.0014314025174826384,
0.042350415140390396,
0.015777604654431343,
0.02135789580643177,
-0.013593652285635471,
-0.01813594251871109,
0.03006049059331417,
-0.003981769550591707,
-0.04603739082813263,
0.04314759746193886,
0.01609315723180771,
-0.022105256095528603,
0.04072282835841179,
-0.0033921850845217705,
-0.029911018908023834,
-0.027021225541830063,
0.0034378571435809135,
0.01592707820236683,
0.0013950724387541413,
0.0011957763927057385,
-0.019298503175377846,
0.021108774468302727,
0.02942938543856144,
0.02740320935845375,
-0.048096783459186554,
-0.04577166214585304,
0.037600524723529816,
0.040423884987831116,
-0.015204628929495811,
0.046070609241724014,
0.014540309086441994,
0.03039265051484108,
-0.03401319682598114,
-0.017920037731528282,
-0.02637351304292679,
-0.017488230019807816,
0.012040804140269756,
-0.050421904772520065,
0.0007042832439765334,
0.012422787956893444,
0.004164457321166992,
-0.00651033828034997,
0.03936097398400307,
-0.041785743087530136,
-0.006302738096565008,
0.04407764598727226,
0.008029970340430737,
0.04779784008860588,
-0.01699829287827015,
0.009275571443140507,
-0.02298547886312008,
0.021341286599636078,
0.030010666698217392,
-0.05118587240576744,
-0.00775178661569953,
0.016068246215581894,
0.019115814939141273,
-0.001171902404166758,
0.004021213389933109,
0.0063816262409091,
-0.007220330648124218,
-0.026456553488969803,
-0.0031389130745083094,
0.01616789400577545,
0.009383522905409336,
0.0256427600979805,
0.014590132981538773,
0.007319978438317776,
0.03730158135294914,
0.003369349054992199,
0.004129165317863226,
-0.045173775404691696,
-0.0016742945881560445,
0.008237570524215698,
0.010139187797904015,
0.04756532981991768,
-0.05294632166624069,
0.012846291996538639,
0.012032500468194485,
-0.024878792464733124,
-0.05028904229402542,
-0.0367036908864975,
0.0014884924748912454,
0.033299051225185394,
-0.022454023361206055,
0.007365650497376919,
0.01031357143074274,
0.004974097479134798,
-0.008204354904592037,
-0.016134677454829216,
0.01757127046585083,
-0.028997577726840973,
0.011343267746269703,
-0.007535882759839296,
-0.04125428572297096,
-0.0037160413339734077,
0.020643750205636024,
-0.006593378260731697,
0.0288148894906044,
-0.03750087693333626,
0.04965793713927269,
-0.006111746188253164,
0.010670643299818039,
0.012671908363699913,
0.012090628035366535,
0.042682573199272156,
-0.04274900630116463,
-0.027951274067163467,
0.03710228577256203,
0.015918772667646408,
-0.00405235355719924,
-0.0015632285503670573,
0.0031596729531884193,
0.01268851663917303,
0.012181972153484821,
-0.007319978438317776,
0.039859212934970856,
0.04786427319049835,
-0.02874845825135708,
-0.007610618602484465,
-0.009765507653355598,
-0.022636711597442627,
-0.022836007177829742,
0.006730394437909126,
-0.003846829291433096,
0.0303428266197443,
-0.03836449235677719,
-0.011833203956484795,
0.02627386525273323,
0.012323140166699886,
-0.0404571034014225,
-0.02554311230778694,
0.013435876928269863,
-0.013543828390538692,
0.007851434871554375,
-0.007361498661339283,
0.0374012291431427,
-0.0042931693606078625,
-0.008652770891785622,
0.019348327070474625,
0.001951440703123808,
-0.012314836494624615,
0.010629124008119106,
-0.06583413481712341,
-0.023301031440496445,
0.01745501346886158,
-0.005368537735193968,
0.03514254093170166,
0.02921348251402378,
-0.02808413654565811,
-0.007232786621898413,
-0.04161966219544411,
-0.03544148430228233,
0.005667482037097216,
0.00890189129859209,
0.030973929911851883,
0.00041649764170870185,
-0.04271579161286354,
-0.007747634779661894,
-0.021141991019248962,
-0.023932136595249176,
0.05497249960899353,
0.0034482371993362904,
0.02441376820206642,
-0.013394356705248356,
-0.01620941422879696,
0.05314561724662781,
0.03389693796634674,
-0.014448964968323708,
-0.009449955075979233,
-0.019746918231248856,
-0.02373283915221691,
-0.01938154175877571,
-0.03627188503742218,
-0.003846829291433096,
-0.002242080867290497,
-0.046967439353466034,
-0.025111304596066475,
-0.02672228030860424,
0.021158598363399506,
0.005692393984645605,
0.03613901883363724,
0.015694566071033478,
0.008316459134221077,
0.04029102250933647,
-0.03723514825105667,
0.010263747535645962,
-0.005410057958215475,
0.0604531392455101,
0.00609929021447897,
0.036936204880476,
0.03145556151866913,
-0.009043059311807156,
0.04783105477690697,
0.012032500468194485,
-0.006929690483957529,
-0.03218631446361542,
0.05055476725101471,
0.00772687466815114,
-0.045273423194885254,
0.01966387778520584,
0.031156618148088455,
0.02667245641350746,
0.013477396219968796,
-0.02112538367509842,
0.03710228577256203,
-0.007797458674758673,
-0.006747002247720957,
0.01994621381163597,
0.0491596981883049,
0.018783655017614365,
0.01971370354294777,
-0.009865155443549156,
0.06922216713428497,
0.005621809978038073,
-0.010670643299818039,
0.003385957097634673,
0.029645290225744247,
-0.024446984753012657,
0.019132422283291817,
-0.02667245641350746,
-0.011451220139861107,
-0.04617025703191757,
0.0059124501422047615,
0.012447699904441833,
-0.020826438441872597,
0.059058066457509995,
0.004654393531382084,
0.0174051895737648,
-0.0023666408378630877,
-0.030010666698217392,
-0.009175922721624374,
-0.03177111595869064,
0.0338803306221962,
0.0019628587178885937,
0.029960842803120613,
0.020245159044861794,
0.03547469899058342,
-0.02514452114701271,
0.002033442724496126,
-0.032452043145895004,
0.03303332254290581,
-0.02891453728079796,
0.012265011668205261,
-0.0007151822210289538,
0.014830948784947395,
-0.02192256785929203,
0.022570280358195305,
0.004297321662306786,
-0.006273674312978983,
0.021673446521162987,
0.01926528662443161,
-0.017753958702087402,
0.004646089393645525,
-0.002700876910239458,
-0.017089636996388435,
-0.030492298305034637,
-0.029014185070991516,
-0.0174051895737648,
0.015146501362323761,
-0.03004388138651848,
0.03112340159714222,
-0.000030734539905097336,
-0.05337813124060631,
-0.02667245641350746,
-0.006057769991457462,
-0.012837988324463367,
0.004162381403148174,
0.014033764600753784,
-0.03843092545866966,
0.003931945189833641,
0.011966068297624588,
-0.01271342858672142,
0.009873459115624428,
0.017073029652237892,
0.007382258307188749,
0.02648976817727089,
0.014681477099657059,
-0.023882312700152397,
-0.0700857862830162,
0.011293443851172924,
0.007523426320403814,
0.025061480700969696,
-0.01390090025961399,
0.053245265036821365,
0.027270345017313957,
0.007888802327215672,
0.061383187770843506,
-0.04062318056821823,
-0.06477122008800507,
0.0019555927719920874,
0.03710228577256203,
0.02526077628135681,
-0.015188020654022694,
0.0008179442957043648,
-0.03404641151428223,
0.0437454879283905,
-0.023683015257120132,
-0.05483963340520859,
0.02090947888791561,
-0.005821106024086475,
0.005787889938801527,
-0.006402386352419853,
-0.027718761935830116,
0.002298132749274373,
-0.026290472596883774,
0.002607456874102354,
-0.017587877810001373,
-0.006215546280145645,
-0.03593972325325012,
0.00668057007715106,
0.023799272254109383,
-0.000876591308042407,
0.010006323456764221,
0.020809831097722054,
-0.007984298281371593,
0.006257066037505865,
-0.020660359412431717,
0.008441018871963024,
-0.01565304584801197,
-0.02806752920150757,
-0.011658820323646069,
0.009375219233334064,
-0.022636711597442627,
-0.019132422283291817,
0.0703515112400055,
0.0001713998062768951,
0.009508083574473858,
0.014382532797753811,
0.008399498648941517,
0.011650515720248222,
-0.0454062856733799,
-0.040224589407444,
0.0035022131633013487,
0.003442009212449193,
0.013983940705657005,
0.0074694505892694,
0.009649251587688923,
-0.00478725740686059,
0.0071912663988769054,
-0.022271335124969482,
-0.005160937551409006,
0.021955782547593117,
-0.04012494161725044,
-0.006198938004672527,
0.03011031448841095,
-0.015403925441205502,
-0.017986470833420753,
0.02677210420370102,
0.008960018865764141,
0.0012995764845982194,
-0.0053353216499090195,
0.03620545193552971,
-0.002767308847978711,
-0.04803035035729408,
-0.0174051895737648,
0.02112538367509842,
0.01637549325823784,
0.020992519333958626,
0.040922123938798904,
0.028432905673980713,
-0.008602946996688843,
-0.00465854536741972,
0.020045863464474678,
-0.0283498652279377,
-0.05733083561062813,
0.010554387234151363,
-0.0524480827152729,
0.006593378260731697,
-0.04819643124938011,
0.009524690918624401,
-0.010272051207721233,
-0.01650005392730236,
0.008266635239124298,
-0.021706663072109222,
-0.012555652298033237,
-0.029047401621937752
] |
Bayesian inference provides a methodology for parameter estimation and
uncertainty quantification in machine learning and deep learning methods.
Variational inference and Markov Chain Monte-Carlo (MCMC) sampling techniques
are used to implement Bayesian inference. In the past three decades, MCMC
methods have faced a number of challenges in being adapted to larger models
(such as in deep learning) and big data problems. Advanced proposals that
incorporate gradients, such as a Langevin proposal distribution, provide a
means to address some of the limitations of MCMC sampling for Bayesian neural
networks. Furthermore, MCMC methods have typically been constrained to use by
statisticians and are still not prominent among deep learning researchers. We
present a tutorial for MCMC methods that covers simple Bayesian linear and
logistic models, and Bayesian neural networks. The aim of this tutorial is to
bridge the gap between theory and implementation via coding, given a general
sparsity of libraries and tutorials to this end. This tutorial provides code in
Python with data and instructions that enable their use and extension. We
provide results for some benchmark problems showing the strengths and
weaknesses of implementing the respective Bayesian models via MCMC. We
highlight the challenges in sampling multi-modal posterior distributions in
particular for the case of Bayesian neural networks, and the need for further
improvement of convergence diagnosis. | [
0.005197613034397364,
0.03146706521511078,
-0.03212631493806839,
-0.03354128822684288,
0.06303060799837112,
-0.001926493481732905,
-0.037689730525016785,
0.02677192911505699,
-0.016449058428406715,
0.04074478521943092,
-0.0012793042697012424,
-0.04444301128387451,
0.01853935979306698,
0.043703366070985794,
0.033091068267822266,
-0.017462050542235374,
0.061101097613573074,
0.024488676339387894,
0.03746462240815163,
-0.009663620963692665,
0.04334961995482445,
0.032560452818870544,
-0.009149085730314255,
-0.012437289580702782,
0.01010579988360405,
0.03418445587158203,
0.008907897397875786,
0.0013697500107809901,
-0.011368020437657833,
0.02037239260971546,
0.055473364889621735,
0.012694557197391987,
-0.04518265277147293,
-0.03868664428591728,
-0.044861070811748505,
-0.01776755601167679,
0.04794828221201897,
-0.005547336768358946,
-0.02302546612918377,
-0.00009119942114921287,
0.021449701860547066,
-0.06383457034826279,
0.04772317409515381,
-0.03212631493806839,
0.0050569199956953526,
-0.009108887054026127,
-0.06746847927570343,
-0.027575891464948654,
0.020420629531145096,
0.012565922923386097,
-0.00806775689125061,
-0.013908539898693562,
0.001149665447883308,
0.042031124234199524,
0.00723565649241209,
0.04621172696352005,
0.05849626287817955,
0.01779971458017826,
0.034377407282590866,
-0.043220989406108856,
0.0117137236520648,
0.03904038667678833,
-0.024745944887399673,
-0.03698224201798439,
-0.006009614560753107,
-0.011215267702937126,
0.04090557619929314,
-0.0234274473041296,
0.046661943197250366,
-0.014760739170014858,
-0.028958704322576523,
-0.011914714239537716,
0.021706968545913696,
0.016690246760845184,
0.040616150945425034,
0.029360685497522354,
-0.0029887279961258173,
0.03791483864188194,
0.015805888921022415,
0.04711216315627098,
0.04621172696352005,
0.0038389177061617374,
-0.018233854323625565,
0.005635772366076708,
0.00006306075374595821,
0.02368471585214138,
-0.0004896629834547639,
-0.03440956771373749,
0.033862870186567307,
0.0045182653702795506,
-0.03083997592329979,
-0.018105220049619675,
0.014616025611758232,
0.026386026293039322,
-0.0208547692745924,
0.02366863563656807,
0.065989188849926,
0.014270322397351265,
-0.002777688205242157,
0.02791355364024639,
0.06036145240068436,
0.024472597986459732,
0.05029585212469101,
0.031402748078107834,
0.0027877376414835453,
-0.07409311830997467,
0.018121300265192986,
-0.032962433993816376,
0.008602391928434372,
0.09692563861608505,
0.01997041143476963,
0.032994594424963,
0.0041605024598538876,
0.044861070811748505,
-0.045504238456487656,
0.020324155688285828,
-0.012115704827010632,
-0.036403391510248184,
0.013273409567773342,
-0.03875096142292023,
0.00572420796379447,
0.05373680964112282,
0.024858498945832253,
0.02828337624669075,
-0.02929636836051941,
0.05055312067270279,
0.007790389936417341,
-0.07145612686872482,
0.03354128822684288,
-0.012879468500614166,
0.017317337915301323,
0.0005492063937708735,
-0.017301257699728012,
-0.03868664428591728,
-0.015830008313059807,
-0.017124386504292488,
0.024762023240327835,
0.009197323583066463,
0.02558206580579281,
-0.0562773272395134,
-0.03018072620034218,
-0.048430658876895905,
0.03275340422987938,
-0.02267172373831272,
0.00729193352162838,
0.026209155097603798,
-0.03752893954515457,
0.0852842703461647,
-0.029248131439089775,
0.04206328094005585,
-0.06296628713607788,
0.031434908509254456,
0.014648184180259705,
0.0358566977083683,
0.04521481320261955,
0.025244401767849922,
-0.04238486662507057,
-0.002552578691393137,
-0.0008818455971777439,
-0.03797915577888489,
0.037432461977005005,
0.012951824814081192,
0.013136736117303371,
0.10875995457172394,
0.05939669907093048,
0.08862875401973724,
0.06081167235970497,
-0.031209798529744148,
-0.09975558519363403,
0.034602515399456024,
-0.043446097522974014,
-0.0019777461420744658,
-0.00953498762100935,
-0.008019519038498402,
-0.0203563142567873,
0.02164265140891075,
0.0549909882247448,
-0.011609208770096302,
0.002570668002590537,
0.03952276334166527,
-0.021948156878352165,
0.018973499536514282,
0.049716997891664505,
0.04476459324359894,
0.07409311830997467,
-0.009687740355730057,
0.06772574037313461,
0.012445328757166862,
0.024167092517018318,
-0.02918381430208683,
-0.020275916904211044,
-0.004666998516768217,
0.06881913542747498,
0.0195684302598238,
0.04489322751760483,
0.004393651150166988,
-0.04106637090444565,
0.005366445053368807,
0.0007572315516881645,
0.023266654461622238,
-0.04077694192528725,
-0.076858751475811,
-0.009116927161812782,
0.02839593216776848,
0.009808334521949291,
-0.02815474383533001,
-0.01791226863861084,
-0.020919086411595345,
0.027077434584498405,
-0.037946999073028564,
0.022832516580820084,
-0.022719960659742355,
-0.06869050115346909,
-0.01943979598581791,
0.015042126178741455,
-0.018394647166132927,
-0.021546177566051483,
0.03095252998173237,
-0.010129919275641441,
-0.012847309932112694,
0.03222278878092766,
-0.025662461295723915,
0.06791869550943375,
-0.0038791156839579344,
0.023893745616078377,
0.0260001253336668,
0.03293027728796005,
-0.028219059109687805,
0.011544891633093357,
0.004630819894373417,
0.021031640470027924,
0.08239001035690308,
-0.005615673493593931,
-0.00636335788294673,
0.017204783856868744,
-0.023861587047576904,
0.04560071602463722,
-0.019664905965328217,
0.0024681626819074154,
-0.0059975553303956985,
-0.029794825240969658,
0.0036158182192593813,
-0.040648311376571655,
0.018266012892127037,
-0.0355672724545002,
0.01958451047539711,
-0.023330971598625183,
-0.01741381362080574,
0.013337726704776287,
-0.04238486662507057,
-0.000886870373506099,
-0.029778745025396347,
0.04540776461362839,
-0.006801517214626074,
-0.07602263242006302,
0.028621040284633636,
0.023330971598625183,
-0.03495626151561737,
0.02572677843272686,
-0.10020580142736435,
0.050874702632427216,
0.03707871958613396,
0.005965396761894226,
0.03280164301395416,
0.03868664428591728,
0.019021736457943916,
0.06894776225090027,
0.040262408554553986,
0.016690246760845184,
-0.00755724124610424,
0.00627090223133564,
-0.008192370645701885,
0.03431309014558792,
0.0307113416492939,
0.013570875860750675,
-0.052804213017225266,
0.022591326385736465,
0.0034871844109147787,
-0.02622523531317711,
0.03315538540482521,
0.040391042828559875,
0.02585541270673275,
-0.009872650727629662,
0.019906094297766685,
0.003179668914526701,
-0.007408508099615574,
-0.0076537164859473705,
-0.034473881125450134,
-0.05553768202662468,
0.03945844620466232,
0.01844288408756256,
-0.013353805989027023,
-0.028476327657699585,
-0.023138022050261497,
0.044475167989730835,
-0.002520420355722308,
-0.0755724087357521,
-0.033091068267822266,
0.006616605911403894,
0.03318754583597183,
-0.01984177716076374,
0.004321294836699963,
0.04257781803607941,
0.02265564352273941,
0.05245047062635422,
0.0007713008671998978,
0.03553511202335358,
0.07730896770954132,
0.002138538518920541,
-0.05187161639332771,
-0.0076738158240914345,
0.019295083358883858,
-0.04669410362839699,
-0.016079235821962357,
0.013209092430770397,
0.05897863954305649,
0.07460765540599823,
0.02112811617553234,
-0.0371430367231369,
0.011681565083563328,
0.030293282121419907,
0.043317463248968124,
-0.040005140006542206,
-0.010990157723426819,
-0.01767108030617237,
-0.02254308946430683,
0.020790452137589455,
0.02955363690853119,
-0.06605350226163864,
0.012501606717705727,
0.004675038158893585,
-0.07653716206550598,
-0.05926806479692459,
-0.031065084040164948,
-0.04084125906229019,
0.007468805182725191,
-0.04540776461362839,
0.03214239329099655,
0.015371750108897686,
-0.008204430341720581,
-0.014061292633414268,
-0.06875481456518173,
-0.04441085085272789,
-0.03672497719526291,
0.022430535405874252,
0.0002761106297839433,
-0.0520002506673336,
0.02045278809964657,
0.03305891156196594,
-0.06733984500169754,
0.0007094963220879436,
0.025405192747712135,
-0.006226684432476759,
-0.03133843094110489,
0.027447257190942764,
-0.0012370962649583817,
-0.02124067209661007,
-0.007573320530354977,
-0.04547208175063133,
0.023829428479075432,
0.024006299674510956,
-0.07615126669406891,
-0.03733598813414574,
-0.00838532205671072,
0.00954302679747343,
0.0281386636197567,
-0.026707611978054047,
-0.0012119724415242672,
-0.002301340689882636,
0.007111042272299528,
-0.021063799038529396,
0.023202337324619293,
0.01627218723297119,
-0.02778492122888565,
-0.036274757236242294,
-0.012959864921867847,
-0.029634032398462296,
0.026675453409552574,
-0.023732952773571014,
0.04119500517845154,
-0.017462050542235374,
0.015813929960131645,
-0.010346988216042519,
0.03338049352169037,
0.03469899296760559,
0.03059878759086132,
-0.021835602819919586,
-0.006676902994513512,
-0.005820683669298887,
-0.0053262473084032536,
0.03514920920133591,
-0.05566631630063057,
-0.02839593216776848,
-0.02932852692902088,
0.0407126285135746,
0.02892654575407505,
0.0028600941877812147,
-0.02267172373831272,
-0.01752636767923832,
0.020790452137589455,
-0.0018149438546970487,
0.048945195972919464,
0.008425519801676273,
-0.0014360768254846334,
-0.04826986789703369,
0.011247426271438599,
0.02828337624669075,
0.0035173329524695873,
0.04351041465997696,
-0.00272141071036458,
-0.008296886458992958,
-0.016577692702412605,
-0.045986615121364594,
0.009165165014564991,
0.03868664428591728,
0.034248773008584976,
-0.06476716697216034,
0.0028480347245931625,
-0.01170568447560072,
-0.01312869694083929,
0.020919086411595345,
-0.027672365307807922,
0.03939412906765938,
-0.029119497165083885,
0.0010551998857408762,
0.024649469181895256,
0.012742795050144196,
-0.027672365307807922,
0.01562097854912281,
-0.040391042828559875,
0.029971696436405182,
0.01509036310017109,
0.026386026293039322,
-0.00709898304194212,
0.01637670211493969,
-0.027206068858504295,
-0.0009672665619291365,
0.03543863818049431,
-0.03479546681046486,
-0.005800584331154823,
-0.02484242059290409,
0.023765111342072487,
-0.018089141696691513,
0.02701311744749546,
-0.050006426870822906,
-0.06560328602790833,
-0.011585090309381485,
-0.036789294332265854,
-0.034988418221473694,
-0.00019998550124000758,
-0.04688705503940582,
0.02225366234779358,
-0.06036145240068436,
-0.006339238956570625,
0.012469448149204254,
-0.016786722466349602,
-0.0006130209076218307,
-0.010451504029333591,
0.003937403205782175,
-0.028958704322576523,
-0.001210967544466257,
0.008232569321990013,
0.04029456526041031,
-0.03830074146389961,
0.007287913933396339,
0.02228582091629505,
0.036274757236242294,
0.036660660058259964,
-0.008023538626730442,
-0.025887571275234222,
0.02828337624669075,
-0.04904166981577873,
0.03376639634370804,
0.0013878390891477466,
0.020790452137589455,
0.040358882397413254,
0.005985495634377003,
-0.07891689240932465,
0.054958831518888474,
-0.043960630893707275,
0.03701440244913101,
0.027029195800423622,
0.043092355132102966,
0.009494788944721222,
-0.03207807615399361,
-0.011729802936315536,
0.01254984363913536,
0.05335090681910515,
-0.0365641824901104,
0.002138538518920541,
-0.06804732978343964,
-0.010789168067276478,
0.01985785737633705,
-0.034602515399456024,
0.02263956516981125,
-0.04810907691717148,
0.010917801409959793,
-0.015765691176056862,
-0.00020387969561852515,
0.042159758508205414,
-0.021417543292045593,
-0.04225623235106468,
0.0007426597294397652,
0.04534344747662544,
-0.01216394267976284,
0.06267686188220978,
-0.013900499790906906,
0.002608856186270714,
-0.016183750703930855,
0.024360043928027153,
-0.004574542865157127,
0.0322871059179306,
0.03392718732357025,
-0.028765754774212837,
0.00024395216314587742,
0.004618760664016008,
0.006556308828294277,
-0.026980958878993988,
0.039233338087797165,
-0.016071196645498276,
0.04174169898033142,
0.013144776225090027,
0.022961148992180824,
0.03791483864188194,
-0.0744147077202797,
0.022237583994865417,
0.011745882220566273,
-0.028781833127141,
-0.015476264990866184,
-0.0051654549315571785,
-0.00941439252346754,
0.061744268983602524,
-0.01960058882832527,
-0.0918445959687233,
0.04463595896959305,
0.010909762233495712,
0.012204140424728394,
0.04897735267877579,
-0.010194235481321812,
0.014624065719544888,
-0.04910598695278168,
0.02776884101331234,
-0.006335219368338585,
-0.004220799542963505,
-0.01511448249220848,
-0.03338049352169037,
0.029650112614035606,
-0.02598404698073864,
0.0024942916352301836,
-0.020822610706090927,
-0.04058399423956871,
0.00801147986203432,
0.027672365307807922,
-0.03252829611301422,
-0.06039361283183098,
0.02622523531317711,
-0.002456103451550007,
-0.03553511202335358,
0.00986461155116558,
-0.03907254338264465,
0.03659634292125702,
-0.006817596033215523,
-0.012300616130232811,
-0.003981621004641056,
-0.015500384382903576,
-0.06544249504804611,
0.003049025312066078,
0.007513023447245359,
0.048462819308042526,
0.02135322615504265,
-0.01586216688156128,
0.017992665991187096,
-0.016834961250424385,
0.009607343934476376,
-0.004498166497796774,
0.022880753502249718,
0.06534601747989655,
0.0004798647132702172,
0.006447773892432451,
0.02302546612918377,
0.02751157432794571,
-0.01741381362080574,
0.02548559010028839,
0.07673011720180511,
0.059332381933927536,
-0.051517874002456665,
-0.007983340881764889,
0.015009967610239983,
0.02497105486690998,
-0.008393361233174801,
0.015476264990866184,
0.03598533198237419,
-0.03293027728796005,
-0.00927771907299757,
-0.013040260411798954,
0.02622523531317711,
0.02008296549320221,
-0.01402109395712614,
0.0214979387819767,
-0.011022316291928291,
0.00889985729008913,
0.004988583270460367,
-0.0041524628177285194,
0.03762541338801384,
-0.028621040284633636,
0.03952276334166527,
0.01701183244585991,
-0.005483019631356001,
-0.04029456526041031,
0.02037239260971546,
-0.05759582668542862,
-0.0150340860709548,
0.06901208311319351,
-0.024906737729907036,
0.018394647166132927,
-0.043220989406108856,
-0.015717454254627228,
-0.011110752820968628,
-0.01741381362080574,
-0.008996332995593548,
0.02609660103917122,
0.029634032398462296,
-0.005748326890170574,
0.0020762314088642597,
-0.0008240608731284738,
-0.02686840482056141,
-0.016995752230286598,
-0.03572806343436241,
0.007693914696574211,
-0.004265017341822386,
0.009197323583066463,
0.020131204277276993,
0.0407126285135746,
-0.008674748241901398,
-0.021932078525424004,
-0.027672365307807922,
0.0036278776824474335,
0.06094030663371086,
0.014865254051983356,
-0.02736685983836651,
-0.02022767998278141,
0.012565922923386097,
0.011247426271438599,
0.034988418221473694,
0.001618978101760149,
0.0007351225940510631,
0.00553125748410821,
0.006632685195654631,
0.03598533198237419,
0.04566503316164017,
-0.02484242059290409,
-0.02815474383533001,
-0.046147409826517105,
0.04010161757469177,
-0.017719319090247154,
-0.023250576108694077,
-0.0013124676188454032,
-0.005225752014666796,
-0.025678541511297226,
0.0026892523746937513,
0.008288846351206303,
0.018635835498571396,
0.02046886831521988,
0.048430658876895905,
0.008513955399394035,
-0.0016591761959716678,
0.014141688123345375,
0.0067773982882499695,
-0.00953498762100935,
0.007637637201696634,
0.033444810658693314,
-0.012003149837255478,
-0.010451504029333591,
0.014125608839094639,
0.029489319771528244,
-0.025549907237291336,
-0.01781579479575157,
0.019246846437454224,
-0.012590042315423489,
-0.03125803545117378,
-0.01934332214295864,
0.016561614349484444,
0.01792834885418415,
-0.018651913851499557,
0.015403908677399158,
-0.0028420051094144583,
0.0182820912450552,
-0.014607986435294151,
-0.010853484272956848,
0.012927706353366375,
-0.004281096626073122,
-0.06344866752624512,
0.06415615230798721,
-0.00946263037621975,
0.022703882306814194,
0.0077180336229503155,
-0.041516587138175964,
0.0050046625547111034,
0.024778103455901146,
0.0035314022097736597,
-0.012606121599674225,
-0.007529102265834808,
-0.03582453727722168,
-0.005310168024152517,
0.017333416268229485,
0.06669667363166809,
0.00030651045381091535,
0.0024842419661581516,
-0.04209544137120247,
0.015098403207957745,
0.0011355960741639137,
-0.008932015858590603,
-0.023491764441132545,
0.0381399504840374,
-0.020324155688285828,
0.004066037014126778,
0.023716874420642853,
-0.04923462122678757,
0.02059750258922577,
0.033862870186567307,
0.0234274473041296,
0.0011667496291920543,
0.00033590529346838593,
-0.0002615388366393745,
0.008433559909462929,
0.07338563352823257,
-0.023636477068066597,
-0.009149085730314255,
0.021964237093925476,
-0.006785437930375338,
-0.015259195119142532,
-0.03952276334166527,
0.007714013569056988,
0.0381399504840374,
0.021690890192985535,
-0.027350781485438347,
-0.00935007631778717,
0.06016850471496582,
0.02173912711441517,
-0.008132074028253555,
-0.0019536272156983614,
-0.03495626151561737,
0.0007115062326192856,
0.006584447342902422,
0.0365641824901104,
0.05592358484864235,
-0.020324155688285828,
0.0642847865819931,
-0.025308718904852867,
0.05116413161158562,
0.023877665400505066,
-0.04695137217640877,
0.0038811257109045982,
-0.04775533080101013,
-0.04418574273586273,
0.020179441198706627,
0.02903910167515278,
0.004164522048085928,
-0.006801517214626074,
0.0038871553260833025,
0.01779971458017826,
0.07164907455444336,
0.028749674558639526,
0.03146706521511078,
0.04032672569155693,
0.01588628627359867,
-0.0391368605196476,
0.027800999581813812,
0.019713144749403,
-0.020951244980096817,
0.02635386772453785,
0.024536915123462677,
0.02649858221411705,
-0.023652557283639908,
-0.010355028323829174,
0.012887507677078247,
-0.002235013758763671,
0.04794828221201897,
-0.013265370391309261,
0.0001033216540236026,
0.0034168376587331295,
0.008562193252146244,
0.03260869160294533,
0.044217899441719055,
-0.05058527737855911,
-0.019873935729265213,
-0.028460249304771423,
-0.023604318499565125,
0.01726909913122654,
0.0015606909291818738,
0.010652494616806507,
-0.014624065719544888,
0.014511510729789734,
-0.06463853269815445,
0.06483148038387299,
-0.010250513441860676,
0.00451424578204751,
-0.010282672010362148,
-0.018137378618121147,
0.0015848097391426563,
-0.0026410145219415426,
-0.026273472234606743,
-0.007509003393352032,
0.003923333715647459,
-0.026032283902168274,
-0.05473371967673302,
-0.003979611210525036,
-0.01017815712839365,
0.05897863954305649,
-0.006202565506100655,
-0.0021727068815380335,
0.04952404648065567,
0.024151012301445007,
-0.0072959535755217075,
0.035921014845371246,
0.02366863563656807,
0.023861587047576904,
0.05122844874858856,
-0.0010165092535316944,
-0.08245432376861572,
-0.0017194733954966068,
-0.014889372512698174,
-0.0059251985512673855,
-0.07197066396474838,
-0.048430658876895905,
0.02916773408651352,
-0.016802802681922913,
-0.0015566711081191897,
0.01402109395712614,
0.0010572097962722182,
0.02826729789376259,
0.03659634292125702,
-0.04791612550616264,
0.034988418221473694,
-0.03239966183900833,
0.052900686860084534,
-0.014415035955607891,
0.002094320487231016,
0.04402494803071022,
0.04708000272512436,
-0.02916773408651352,
0.011472535319626331,
-0.022060712799429893,
-0.009679700247943401,
-0.007416547741740942,
-0.027447257190942764,
0.01997041143476963,
0.0015255175530910492,
0.03688576817512512,
0.01675456389784813,
0.02968227118253708,
0.0632878765463829,
-0.019230766221880913,
-0.0012973933480679989,
-0.01112683117389679,
-0.030116409063339233,
0.052418310195207596,
0.004638859536498785,
0.018716230988502502,
-0.010435424745082855,
0.015251155942678452,
0.024279646575450897,
-0.022816436365246773,
-0.022977229207754135,
0.020243758335709572,
0.01562901772558689,
0.020758293569087982,
-0.021964237093925476,
0.05717776343226433,
-0.0368536114692688,
0.0150340860709548,
0.011504693888127804,
-0.029087338596582413,
0.08110366761684418,
-0.019745301455259323,
0.000527097494341433,
-0.026836246252059937,
0.016690246760845184,
-0.03215847164392471,
-0.058946479111909866,
-0.010636415332555771,
0.01406933180987835,
0.04981347545981407,
-0.04826986789703369,
0.01932724192738533,
0.008345123380422592,
-0.012831230647861958,
-0.03302675113081932,
0.015596859157085419,
0.012774953618645668,
-0.023604318499565125,
0.018137378618121147,
-0.022687802091240883,
-0.04624388366937637,
0.003205797867849469,
0.016545534133911133,
-0.03505273535847664,
0.011625288054347038,
-0.009036530740559101,
-0.01702791079878807,
-0.0195684302598238,
0.005406643263995647,
0.009583224542438984,
-0.0468548946082592,
0.07351426780223846,
-0.0018099190201610327,
0.029537556692957878,
0.02302546612918377,
0.036917928606271744,
0.035760220140218735,
-0.028621040284633636,
-0.02894262596964836,
-0.02381335012614727,
-0.03788268193602562,
0.0381399504840374,
0.02624131366610527,
-0.002779697999358177,
-0.04775533080101013,
0.017494209110736847,
0.03543863818049431,
0.03566374629735947,
0.07087727636098862,
-0.013402043841779232,
0.02379726991057396,
0.019504113122820854,
-0.013426162302494049,
0.03990866616368294,
-0.006600526627153158,
0.014133648946881294,
0.04810907691717148,
-0.05833546817302704,
0.0018018794944509864,
0.04363904893398285,
0.017735397443175316,
0.020002570003271103,
-0.037593256682157516,
-0.023507842794060707,
0.04392847418785095,
-0.020243758335709572,
0.016103355213999748,
-0.008731025271117687,
-0.010547978803515434,
0.025951888412237167,
0.01805698312819004,
-0.022334059700369835,
0.049716997891664505,
0.013482439331710339,
0.02405453845858574,
-0.002407865598797798,
0.023652557283639908,
-0.0026792027056217194,
0.018619755282998085,
-0.005322227254509926,
-0.022607406601309776,
0.02188384160399437,
0.021031640470027924,
-0.029650112614035606,
-0.008682787418365479,
-0.00941439252346754,
0.030245043337345123,
0.035921014845371246,
-0.026707611978054047,
0.025775015354156494,
-0.016658088192343712,
0.002548558870330453,
0.02135322615504265,
-0.04019809141755104,
-0.010306790471076965,
-0.05888216570019722,
-0.006697001866996288,
0.025373036041855812,
-0.023202337324619293,
-0.03418445587158203,
0.008618470281362534,
0.013667350634932518,
0.005848822183907032,
0.04161306470632553,
-0.001101427711546421,
0.028347693383693695,
0.008304925635457039,
0.015026046894490719,
0.007730092853307724,
0.021272830665111542,
0.005366445053368807,
-0.007287913933396339,
0.0072959535755217075,
0.03952276334166527,
0.042545661330223083,
0.024987133219838142,
0.014439154416322708,
0.00011324555816827342,
-0.019005658105015755,
-0.009711858816444874,
-0.010982118546962738,
-0.030052093788981438,
-0.011102712713181973,
0.008666708134114742,
0.031145481392741203,
-0.004968483932316303,
-0.012389051727950573,
0.015018006786704063,
0.02061358094215393,
-0.01934332214295864,
0.0008768208790570498,
0.0032037878409028053,
0.005201633088290691,
0.025147926062345505,
0.003754501696676016,
-0.0074929241091012955,
-0.01627218723297119,
-0.008698866702616215,
-0.028958704322576523,
-0.013731667771935463,
-0.01554058212786913,
-0.02305762469768524,
0.010411305353045464,
-0.03643554821610451,
-0.0368536114692688,
0.03633907437324524,
-0.0013797994470223784,
-0.01554862130433321,
0.02789747528731823,
0.013683429919183254,
-0.03019680641591549
] |
Graph collaborative filtering (GCF) is a popular technique for capturing
high-order collaborative signals in recommendation systems. However, GCF's
bipartite adjacency matrix, which defines the neighbors being aggregated based
on user-item interactions, can be noisy for users/items with abundant
interactions and insufficient for users/items with scarce interactions.
Additionally, the adjacency matrix ignores user-user and item-item
correlations, which can limit the scope of beneficial neighbors being
aggregated.
In this work, we propose a new graph adjacency matrix that incorporates
user-user and item-item correlations, as well as a properly designed user-item
interaction matrix that balances the number of interactions across all users.
To achieve this, we pre-train a graph-based recommendation method to obtain
users/items embeddings, and then enhance the user-item interaction matrix via
top-K sampling. We also augment the symmetric user-user and item-item
correlation components to the adjacency matrix. Our experiments demonstrate
that the enhanced user-item interaction matrix with improved neighbors and
lower density leads to significant benefits in graph-based recommendation.
Moreover, we show that the inclusion of user-user and item-item correlations
can improve recommendations for users with both abundant and insufficient
interactions. The code is in \url{https://github.com/zfan20/GraphDA}. | [
0.006016894709318876,
0.01408555917441845,
-0.0351080521941185,
0.01673983223736286,
-0.02242290787398815,
0.004514706786721945,
-0.015453404746949673,
0.01760287769138813,
-0.028431659564375877,
0.006265223957598209,
-0.03914645314216614,
-0.0341961532831192,
0.022650880739092827,
-0.015722088515758514,
-0.01450893934816122,
0.04644163325428963,
0.010446110740303993,
0.01018556859344244,
-0.0017444109544157982,
-0.06116226315498352,
-0.0037432576064020395,
-0.03134647384285927,
0.008158225566148758,
0.02892017550766468,
0.03118363581597805,
0.02605421282351017,
0.0320955328643322,
-0.010169285349547863,
-0.06021779775619507,
0.010877633467316628,
0.010877633467316628,
-0.026217050850391388,
0.011455711908638477,
-0.035889677703380585,
-0.008312921971082687,
0.004425145220011473,
0.06435390561819077,
0.06865285336971283,
0.018368219956755638,
0.007116056978702545,
0.011219595558941364,
0.05034976452589035,
-0.025516845285892487,
0.02112019620835781,
0.017016658559441566,
-0.03979780897498131,
0.007804051041603088,
0.02751976251602173,
-0.019736066460609436,
-0.017342334613204002,
0.00094802730018273,
-0.009721478447318077,
-0.040318895131349564,
0.007523153908550739,
-0.030108898878097534,
0.054192762821912766,
0.04201241955161095,
0.0320955328643322,
0.060836587101221085,
0.02882247231900692,
-0.013906436040997505,
0.004070970695465803,
-0.04149133339524269,
0.00993316899985075,
0.027943143621087074,
-0.014321675524115562,
0.023676766082644463,
0.038201991468667984,
0.03768090531229973,
-0.03748549893498421,
-0.0651029646396637,
0.002373375929892063,
0.038299694657325745,
-0.026884691789746284,
0.005752281751483679,
0.041817013174295425,
0.0586545467376709,
0.053736813366413116,
-0.021511008962988853,
-0.010731078684329987,
0.010820640251040459,
0.02983207441866398,
0.0033626218792051077,
0.06917393207550049,
0.042728908360004425,
-0.03917902335524559,
0.03303999826312065,
-0.03979780897498131,
-0.02962038293480873,
0.01634087599813938,
-0.042175255715847015,
-0.011276588775217533,
-0.0201105959713459,
-0.0411330871284008,
-0.04767920821905136,
-0.004205312579870224,
0.004514706786721945,
-0.017163213342428207,
-0.08330834656953812,
0.0683923065662384,
-0.06865285336971283,
-0.02942497655749321,
0.014655495062470436,
0.007014282513409853,
0.0016406012000516057,
-0.034326426684856415,
-0.030255455523729324,
0.02484920620918274,
-0.021559860557317734,
0.09118974208831787,
0.01529056578874588,
-0.010364691726863384,
-0.04686501622200012,
0.038560234010219574,
-0.027470910921692848,
0.025972792878746986,
-0.05005665495991707,
-0.03474980592727661,
0.02289513871073723,
-0.07953048497438431,
0.038853343576192856,
0.028073415160179138,
-0.005630152765661478,
-0.041882146149873734,
-0.03712725266814232,
0.03364250063896179,
0.016112903133034706,
-0.036638736724853516,
0.012432744726538658,
0.006171591579914093,
-0.046343930065631866,
0.02901787869632244,
-0.004121857695281506,
-0.04149133339524269,
0.01644672267138958,
-0.021038776263594627,
0.04982868209481239,
0.02740577608346939,
0.00544695882126689,
-0.013263222761452198,
-0.00910269096493721,
-0.021592428907752037,
-0.017879704013466835,
-0.02624961920082569,
-0.015713946893811226,
0.014671778306365013,
0.0075272247195243835,
0.06780608743429184,
-0.02740577608346939,
0.04145876690745354,
-0.029734371230006218,
0.01254673209041357,
0.035075485706329346,
0.00037656479980796576,
0.004095396492630243,
0.00296163116581738,
0.006521695293486118,
-0.045953117311000824,
-0.009135258384048939,
-0.05670047923922539,
0.05920819938182831,
0.02696610987186432,
0.016821250319480896,
0.040058352053165436,
-0.008227432146668434,
0.03667130321264267,
0.0265590138733387,
-0.013499339111149311,
-0.04852597042918205,
0.04194728285074234,
0.019475523382425308,
0.016674695536494255,
0.011984937824308872,
0.03243749588727951,
-0.010169285349547863,
0.03823455795645714,
0.03527089208364487,
-0.031199919059872627,
-0.00046103744534775615,
0.012782848440110683,
-0.06702446192502975,
-0.0402211919426918,
0.01006343960762024,
0.06647080928087234,
0.02716151624917984,
0.03702954947948456,
0.03735522925853729,
0.02278115227818489,
0.020582828670740128,
-0.0010172338224947453,
0.052629511803388596,
0.01529056578874588,
0.06695932894945145,
-0.006843301933258772,
0.002794721396639943,
-0.017440039664506912,
-0.015982631593942642,
-0.024360688403248787,
0.02087593823671341,
-0.04829799756407738,
-0.07132340967655182,
-0.012668861076235771,
0.051522206515073776,
-0.052075859159231186,
0.037290092557668686,
0.04123079031705856,
0.0415564700961113,
-0.0351080521941185,
-0.021706415340304375,
-0.011415001936256886,
0.007694134954363108,
-0.002792685991153121,
-0.08057264983654022,
-0.014370527118444443,
0.02348135970532894,
0.002116904826834798,
0.008646741509437561,
0.021559860557317734,
0.0007027513347566128,
-0.01835193671286106,
-0.009941310621798038,
0.015591817907989025,
0.09373003244400024,
-0.01030769757926464,
0.055202364921569824,
-0.006668250076472759,
-0.005316687747836113,
-0.023921024054288864,
-0.025614548474550247,
-0.009395800530910492,
0.02918071858584881,
0.025158599019050598,
0.007429521530866623,
-0.009542355313897133,
-0.0017942803679034114,
-0.02600536122918129,
-0.03823455795645714,
-0.05692845582962036,
0.031151067465543747,
0.022308919578790665,
-0.03846253082156181,
-0.0063547855243086815,
-0.04657190665602684,
-0.020664246752858162,
0.06106455996632576,
0.032014112919569016,
-0.017668012529611588,
0.05959901213645935,
0.016178037971258163,
0.016210606321692467,
-0.023725617676973343,
-0.02932727336883545,
-0.004555416293442249,
0.04331512749195099,
-0.011528989300131798,
0.023774469271302223,
0.020550260320305824,
-0.0022451402619481087,
-0.002141330623999238,
-0.05901279300451279,
0.034684669226408005,
0.015485973097383976,
-0.01805882714688778,
0.03390304371714592,
-0.0031142926309257746,
0.026526445522904396,
0.034131020307540894,
-0.03520575538277626,
0.04683244600892067,
0.0448458157479763,
0.002180004958063364,
-0.0022797435522079468,
-0.022374054417014122,
-0.021608712151646614,
-0.016316451132297516,
-0.04370594024658203,
0.008720019832253456,
-0.06109713017940521,
0.08233131468296051,
-0.012416460551321507,
0.017782000824809074,
0.006932863034307957,
-0.007909895852208138,
0.003617057576775551,
-0.0288713239133358,
-0.04787461459636688,
-0.038006581366062164,
-0.02877362072467804,
-0.038006581366062164,
-0.053346000611782074,
-0.05416019633412361,
-0.018742749467492104,
-0.03481494262814522,
0.008540896698832512,
0.05181531608104706,
0.015933779999613762,
-0.0010269023478031158,
0.045334331691265106,
0.05989212170243263,
-0.07594802975654602,
-0.020192014053463936,
-0.0014268752420321107,
-0.0060087526217103004,
-0.014867185615003109,
-0.024474676698446274,
0.01750517450273037,
0.0011062863050028682,
0.06761068105697632,
-0.007282966747879982,
-0.025240018963813782,
0.04256606847047806,
0.029050447046756744,
-0.05969671532511711,
-0.013719171285629272,
0.010543813928961754,
0.0184659231454134,
0.026998678222298622,
-0.03455439954996109,
0.047907184809446335,
-0.05061030760407448,
-0.026721851900219917,
0.005113139282912016,
-0.058068327605724335,
0.005634223576635122,
-0.008459477685391903,
0.044031620025634766,
-0.04178444296121597,
0.03390304371714592,
0.005654578562825918,
0.0051782745867967606,
-0.007352173328399658,
-0.02559826336801052,
0.009167825803160667,
-0.009412084706127644,
0.0029249924700707197,
0.008325135335326195,
-0.040612004697322845,
0.026868406683206558,
-0.00802388321608305,
-0.015070733614265919,
0.010193711146712303,
0.027845440432429314,
-0.0007974014151841402,
0.03305628150701523,
-0.0011978831607848406,
-0.010608949698507786,
-0.013336500152945518,
0.04517149180173874,
0.052890051156282425,
-0.026282187551259995,
0.0008330224081873894,
0.021608712151646614,
-0.018482206389307976,
0.00905383937060833,
0.07588289678096771,
-0.0424683652818203,
0.00038877769839018583,
0.0066723208874464035,
-0.03284459188580513,
0.05793805420398712,
0.012326899915933609,
-0.025614548474550247,
-0.010649659670889378,
-0.017977407202124596,
-0.06256268173456192,
-0.033072564750909805,
-0.002817111788317561,
-0.033316824585199356,
0.03953726962208748,
-0.004999151919037104,
-0.07588289678096771,
0.003423686372116208,
-0.04982868209481239,
-0.0002651219838298857,
-0.03530345857143402,
-0.008589748293161392,
0.007054992485791445,
0.012815415859222412,
-0.0037676834035664797,
0.021641280502080917,
-0.00917596835643053,
-0.022341487929224968,
0.009143400005996227,
-0.017179496586322784,
0.031672153621912,
0.059468742460012436,
0.027047529816627502,
0.03869050741195679,
-0.035694271326065063,
0.024523528292775154,
0.03268175199627876,
-0.032518915832042694,
0.005715643055737019,
0.0024629372637718916,
0.02304169535636902,
-0.04797231778502464,
0.01408555917441845,
0.029441259801387787,
0.065168097615242,
0.009526071138679981,
-0.02651016227900982,
-0.01111374981701374,
-0.0457577109336853,
0.01267700269818306,
0.005841842852532864,
-0.018824169412255287,
0.03260033205151558,
-0.028301388025283813,
0.059729281812906265,
0.017619160935282707,
0.03333310782909393,
0.014175119809806347,
-0.013898294419050217,
0.008219289593398571,
0.03220951929688454,
0.0457577109336853,
-0.0568307526409626,
0.01957322657108307,
0.02364419773221016,
0.018628763034939766,
0.035694271326065063,
0.0026420599315315485,
0.06969501823186874,
-0.016967806965112686,
-0.004113716073334217,
0.03207924962043762,
-0.0168538186699152,
-0.004881093744188547,
0.004083183594048023,
-0.05285748466849327,
0.03481494262814522,
0.03647589683532715,
0.01187095046043396,
-0.06774095445871353,
-0.040058352053165436,
0.0018706111004576087,
0.0003121925692539662,
0.016935238614678383,
-0.018954439088702202,
-0.009770330041646957,
-0.025565696880221367,
-0.07249584794044495,
0.016129186376929283,
-0.0355965681374073,
-0.031916409730911255,
-0.0044007194228470325,
-0.020094310864806175,
-0.014606643468141556,
-0.0522061288356781,
-0.04334769770503044,
-0.10551956295967102,
-0.014142552390694618,
-0.06943447887897491,
-0.06813176721334457,
-0.002357091987505555,
-0.012359467335045338,
-0.021445874124765396,
0.0042093838565051556,
0.027275504544377327,
-0.03435899317264557,
-0.04953557252883911,
0.033267974853515625,
-0.010437969118356705,
0.01367846131324768,
0.0024975405540317297,
0.044585272669792175,
-0.002320453291758895,
-0.044129323214292526,
-0.013540049083530903,
-0.0064809853211045265,
-0.006012823898345232,
-0.021348170936107635,
0.03615022078156471,
0.00391016760841012,
-0.013238796964287758,
0.038104284554719925,
0.02349764294922352,
-0.07308206707239151,
0.03077653981745243,
0.024214133620262146,
0.027682600542902946,
0.03159073367714882,
0.029001595452427864,
-0.009118974208831787,
-0.014370527118444443,
0.012896835803985596,
0.03484750911593437,
0.019784918054938316,
-0.011097466573119164,
-0.013857584446668625,
0.002959595760330558,
0.04302201792597771,
-0.019605794921517372,
-0.02921328693628311,
0.012212912552058697,
-0.026591580361127853,
-0.026379890739917755,
-0.004754893947392702,
0.05321573093533516,
-0.008410625159740448,
-0.0031773927621543407,
0.015428978949785233,
0.03072768822312355,
0.012782848440110683,
-0.011341724544763565,
0.029587814584374428,
0.03722495585680008,
-0.013360925950109959,
-0.04093768075108528,
-0.030499713495373726,
-0.006452488712966442,
0.06288835406303406,
0.004046544898301363,
-0.027731452137231827,
-0.03592224419116974,
-0.000956169271375984,
-0.023513926193118095,
-0.03696441277861595,
0.02962038293480873,
-0.017081793397665024,
0.003134647384285927,
0.01284798327833414,
-0.03735522925853729,
0.02776402048766613,
-0.03647589683532715,
0.04145876690745354,
-0.009338807314634323,
0.007291108835488558,
0.0434454008936882,
0.0272592194378376,
0.0067048887722194195,
0.0035682059824466705,
-0.025126030668616295,
-0.05292262136936188,
0.0068148048594594,
0.004193099681288004,
0.03660617023706436,
-0.002505682408809662,
0.024881772696971893,
-0.03439155966043472,
-0.03676900640130043,
-0.003140753833577037,
-0.027470910921692848,
0.04259863868355751,
0.03983037918806076,
-0.04976354539394379,
0.031151067465543747,
-0.04083997756242752,
-0.04657190665602684,
0.05911049619317055,
-0.011610408313572407,
0.014354242943227291,
-0.0136296097189188,
-0.023562779650092125,
0.003405367024242878,
-0.017879704013466835,
-0.027747737243771553,
-0.023155681788921356,
0.0013535977341234684,
-0.060836587101221085,
0.044748108834028244,
0.004384435713291168,
0.0166421290487051,
-0.02525630220770836,
-0.009615632705390453,
0.012579299509525299,
0.011260305531322956,
0.03562913462519646,
-0.012620009481906891,
0.009526071138679981,
-0.027080098167061806,
-0.0351080521941185,
-0.0052108424715697765,
-0.0005877463845536113,
-0.021755266934633255,
-0.0033198767341673374,
0.01494046300649643,
-0.04640906676650047,
0.043836213648319244,
0.022862572222948074,
0.0057034301571547985,
-0.03227465599775314,
0.041523903608322144,
0.028057130053639412,
0.026314755901694298,
-0.0071649085730314255,
0.0011337653268128633,
-0.06086915358901024,
-0.0286270659416914,
-0.026168199256062508,
0.0050195069052278996,
0.07998643070459366,
0.018042542040348053,
-0.045985687524080276,
-0.02374190092086792,
-0.02545170858502388,
0.010478679090738297,
0.015201005153357983,
0.0739288255572319,
-0.08070292323827744,
0.03199782967567444,
-0.030418293550610542,
0.05227126553654671,
0.01851477473974228,
-0.017342334613204002,
-0.017586594447493553,
0.07262612134218216,
-0.007918038405478,
-0.01257115788757801,
0.019133562222123146,
-0.013466771692037582,
0.009509787894785404,
0.052727214992046356,
-0.036736439913511276,
-0.008671167306602001,
-0.021103912964463234,
0.04588798061013222,
0.01011229120194912,
-0.04601825401186943,
-0.015331275761127472,
0.09105947613716125,
-0.009184109978377819,
0.08063779026269913,
0.008671167306602001,
-0.013181803748011589,
-0.0067822374403476715,
0.004050615709275007,
-0.027926858514547348,
-0.017586594447493553,
0.001289480016566813,
-0.03992808237671852,
0.021462157368659973,
-0.05657020956277847,
-0.03891848027706146,
-0.018319368362426758,
-0.02348135970532894,
-0.002524001756682992,
0.022797435522079468,
0.03295857831835747,
0.0084269093349576,
-0.009892459027469158,
-0.006936934310942888,
-0.013092242181301117,
0.03207924962043762,
0.0005572141380980611,
0.041817013174295425,
-0.015054449439048767,
-0.029262138530611992,
0.004022119101136923,
0.02413271553814411,
0.03123248741030693,
0.007462089415639639,
-0.01262815110385418,
0.0221786480396986,
0.0034847508650273085,
-0.004518777597695589,
0.02133188769221306,
0.012896835803985596,
-0.05689588561654091,
-0.010959053412079811,
0.0055935136042535305,
-0.005784849636256695,
0.017326051369309425,
-0.04360823705792427,
0.01791227050125599,
0.008793297223746777,
-0.0201105959713459,
-0.014850901439785957,
0.03282830864191055,
0.030402010306715965,
0.02242290787398815,
0.02278115227818489,
-0.060282934457063675,
0.00047681244905106723,
0.06132510304450989,
-0.02721036784350872,
0.02651016227900982,
-0.013132951222360134,
0.008728161454200745,
-0.03888591378927231,
-0.028741054236888885,
-0.036638736724853516,
-0.05572344735264778,
-0.034228723496198654,
-0.0144356619566679,
-0.03163958340883255,
-0.027601182460784912,
-0.01695152185857296,
-0.017521457746624947,
0.06220443174242973,
-0.03901618346571922,
-0.020647963508963585,
-0.015428978949785233,
0.019605794921517372,
0.0024140856694430113,
0.015510398894548416,
0.008695593103766441,
-0.014696204103529453,
0.011024189181625843,
0.030206603929400444,
-0.013727313838899136,
0.0015622350620105863,
0.008312921971082687,
0.039504699409008026,
-0.008606032468378544,
0.022846287116408348,
0.007327747531235218,
0.04083997756242752,
-0.06314890086650848,
-0.0022817791905254126,
0.006224514450877905,
-0.02157614566385746,
-0.0383322611451149,
0.028741054236888885,
-0.029490111395716667,
0.019035859033465385,
-0.01704922504723072,
-0.0012111137621104717,
-0.021397022530436516,
0.025419142097234726,
-0.05061030760407448,
0.0235464945435524,
0.05054517462849617,
-0.042924314737319946,
-0.004113716073334217,
-0.03582454100251198,
0.015021882019937038,
0.0022105372045189142,
0.004502493888139725,
0.004441428929567337,
0.042175255715847015,
0.003651660867035389,
-0.038657937198877335,
-0.02932727336883545,
-0.00599653972312808,
0.04390135034918785,
-0.037908878177404404,
0.04706042259931564,
-0.005113139282912016,
-0.015681378543376923,
0.010315840132534504,
-0.04943786934018135,
-0.03429385647177696,
0.017895987257361412,
0.004498422611504793,
0.016560709103941917,
0.0017963158898055553,
0.0721050351858139,
-0.00550802331417799,
0.007046850398182869,
0.019589511677622795,
0.015021882019937038,
0.061031993478536606,
-0.032812025398015976,
-0.0748407244682312,
0.013084099628031254,
0.012261764146387577,
-0.06399565935134888,
-0.03219323605298996,
-0.040709707885980606,
0.01680496707558632,
0.016007056459784508,
-0.04367337375879288,
0.03934186324477196,
0.010470536537468433,
0.003354479791596532,
-0.08259185403585434,
0.0011815992183983326,
-0.014036707580089569,
-0.059371039271354675,
0.011537130922079086,
0.009648201055824757,
-0.024474676698446274,
-0.003859280375763774,
-0.006505411118268967,
0.01719577983021736,
0.028154833242297173,
-0.033577367663383484,
-0.018921872600913048,
-0.003250670153647661,
0.013662178069353104,
0.021950675174593925,
-0.011879093013703823,
0.0265590138733387,
-0.018091393634676933,
-0.041979849338531494,
-0.018042542040348053,
-0.03540116176009178,
0.013499339111149311,
0.031102215871214867,
-0.0281711183488369,
-0.005764494650065899,
-0.004101503174751997,
0.036541033536195755,
0.02349764294922352,
0.018026258796453476,
0.024311836808919907,
-0.006183804478496313,
-0.013588900677859783,
-0.030955661088228226,
0.009916884824633598,
-0.01654442586004734,
0.016438579186797142,
0.010177426971495152,
-0.02227635122835636,
-0.005406249314546585,
0.0005119245615787804,
0.027845440432429314,
-0.021657563745975494,
0.03937442973256111,
0.0286270659416914,
0.008264070376753807,
0.017440039664506912,
0.0075597926042973995,
0.005613868590444326,
-0.004294874146580696,
-0.029131866991519928,
-0.026363607496023178,
-0.021852970123291016,
-0.05503952503204346,
-0.0024425825104117393,
-0.03491264581680298,
-0.011838383041322231,
-0.008019812405109406,
-0.000015528527001151815,
-0.028903892263770103,
-0.013271364383399487,
0.00040328054456040263,
0.051229096949100494,
-0.0013820945750921965,
0.01875903271138668,
0.0109671950340271,
-0.0461810939013958,
0.015811650082468987,
-0.03294229507446289,
0.04002578556537628,
-0.024784069508314133,
-0.013222512789070606,
0.028399091213941574,
0.05884995311498642,
0.042533501982688904,
-0.018123961985111237,
-0.005890694912523031,
-0.021038776263594627,
0.004278590437024832,
0.03072768822312355,
0.004478067625313997,
0.01670726388692856,
0.045985687524080276,
0.04250093549489975,
-0.022162364795804024,
0.04165417328476906,
0.01516843680292368,
-0.023171965032815933,
-0.005951759405434132,
0.0230905469506979,
-0.010869491845369339,
0.023155681788921356,
0.011390576139092445,
-0.026624148711562157,
0.055560607463121414,
-0.009420226328074932,
-0.048363134264945984,
0.003207925008609891,
0.060966856777668,
-0.0015958205331116915,
0.023904740810394287,
-0.049112189561128616,
-0.01179767306894064,
-0.009802897460758686,
-0.02580995485186577,
-0.006220443174242973,
-0.019898904487490654,
0.0369318462908268,
-0.00902941357344389,
0.03549886494874954,
0.04888421669602394,
-0.0005083624855615199,
-0.026347322389483452,
-0.024523528292775154,
-0.000019639253878267482,
0.018189096823334694,
-0.0037554705049842596,
0.02826882153749466,
0.09001730382442474,
-0.004510635510087013,
-0.030011195689439774,
0.003444041358307004,
-0.03696441277861595,
-0.0313953272998333,
-0.02414899878203869,
0.021299319341778755,
-0.0007755199330858886,
-0.04862367361783981,
-0.001924551441334188,
0.006436205003410578,
-0.004412932321429253,
0.03012518398463726,
-0.003965125419199467,
0.027698885649442673,
-0.0015469689387828112,
-0.023106830194592476,
0.02116904780268669,
0.01199307944625616,
0.03768090531229973,
-0.008842148818075657,
0.029685519635677338,
-0.04044916480779648,
0.03970010578632355,
-0.0013790413504466414,
0.02624961920082569,
-0.022406622767448425,
0.02359534613788128,
-0.049665842205286026,
0.02861078269779682,
-0.0031142926309257746,
-0.02997862920165062,
0.0043233707547187805,
0.05230383202433586,
0.010332123376429081,
0.017081793397665024,
0.05608169361948967,
0.04917732626199722,
0.011903518810868263,
0.0016568851424381137,
-0.0035478509962558746,
-0.010332123376429081,
0.0109671950340271,
-0.0009780507534742355,
0.05350884050130844,
-0.05526749789714813,
0.006851444020867348,
0.025321438908576965,
0.004824100527912378,
0.023106830194592476,
0.024816637858748436,
-0.08428537845611572,
0.0024670083075761795,
-0.003596702590584755,
0.014052990823984146,
-0.015779083594679832,
-0.006049462594091892,
0.004510635510087013,
0.046604473143815994,
0.026379890739917755,
-0.007360314950346947,
0.04432472959160805,
-0.0013932897709310055,
-0.0005663738120347261,
0.03263290226459503,
-0.06021779775619507,
-0.016161754727363586,
-0.041263360530138016,
0.002348950132727623,
0.02983207441866398,
-0.0127014284953475,
-0.013075958006083965,
-0.0369318462908268,
-0.010218136943876743,
-0.0025260373950004578,
0.004840384237468243,
0.02901787869632244,
-0.013051532208919525,
-0.01415883656591177,
-0.059077925980091095,
0.014907894656062126,
0.000738372327759862,
-0.02012687921524048,
-0.05920819938182831,
0.022553177550435066,
-0.0136296097189188,
-0.0009393764776177704,
0.0249469093978405,
0.019133562222123146,
-0.0024385114666074514,
0.017472606152296066,
0.006945075932890177,
-0.012131492607295513,
-0.038560234010219574,
0.01342606171965599,
0.013222512789070606,
0.08480646461248398,
0.02882247231900692,
0.020306002348661423,
0.006493198219686747,
-0.020582828670740128,
0.013271364383399487,
-0.0032710249070078135,
-0.00765749579295516,
-0.006045391783118248,
-0.04777691140770912,
-0.009794755838811398,
0.04028632491827011,
-0.022113513201475143,
-0.04087254777550697,
0.03159073367714882,
-0.037908878177404404,
0.001479797880165279,
-0.023823320865631104,
0.00907826516777277,
-0.007958747446537018,
-0.052238695323467255,
-0.009249245747923851,
0.022162364795804024,
-0.03992808237671852,
-0.010869491845369339,
0.07451505213975906,
-0.0006971537368372083,
-0.02374190092086792,
0.05647250637412071,
0.004054686985909939,
-0.011936086229979992,
-0.003926451317965984,
-0.041426196694374084,
-0.00009146962111117318,
-0.024881772696971893,
-0.035140618681907654,
0.0042745191603899,
0.03263290226459503,
-0.007779625244438648,
0.015811650082468987,
-0.00018128541705664247,
-0.008386199362576008,
-0.024637514725327492
] |
Orchestrating a high-quality data preparation program is essential for
successful machine learning (ML), but it is known to be time and effort
consuming. Despite the impressive capabilities of large language models like
ChatGPT in generating programs by interacting with users through natural
language prompts, there are still limitations. Specifically, a user must
provide specific prompts to iteratively guide ChatGPT in improving data
preparation programs, which requires a certain level of expertise in
programming, the dataset used and the ML task. Moreover, once a program has
been generated, it is non-trivial to revisit a previous version or make changes
to the program without starting the process over again. In this paper, we
present ChatPipe, a novel system designed to facilitate seamless interaction
between users and ChatGPT. ChatPipe provides users with effective
recommendation on next data preparation operations, and guides ChatGPT to
generate program for the operations. Also, ChatPipe enables users to easily
roll back to previous versions of the program, which facilitates more efficient
experimentation and testing. We have developed a web application for ChatPipe
and prepared several real-world ML tasks from Kaggle. These tasks can showcase
the capabilities of ChatPipe and enable VLDB attendees to easily experiment
with our novel features to rapidly orchestrate a high-quality data preparation
program. | [
-0.02535811811685562,
-0.05670634284615517,
-0.01760728284716606,
-0.00852228794246912,
0.03209244832396507,
0.010056118480861187,
-0.03156604617834091,
0.007955042645335197,
-0.01374094095081091,
0.014648533426225185,
0.03307265043258667,
-0.0257756095379591,
-0.002106747590005398,
-0.0004909504787065089,
-0.023760756477713585,
0.002548064338043332,
-0.045561112463474274,
-0.024813562631607056,
-0.021128740161657333,
-0.05532680079340935,
0.0014169778442010283,
-0.017970319837331772,
-0.0791420117020607,
0.04225748032331467,
0.046613920480012894,
0.023361414670944214,
0.011317671276628971,
0.0017561903223395348,
-0.020420817658305168,
0.05547201633453369,
0.027209606021642685,
0.031638652086257935,
0.03485152870416641,
-0.03753799945116043,
-0.031039642170071602,
-0.0280808936804533,
0.012715362943708897,
0.07870636880397797,
0.0024822638370096684,
-0.014575925655663013,
-0.035650208592414856,
0.03728387504816055,
0.017734345048666,
0.012597375549376011,
0.014603153802454472,
-0.012860577553510666,
-0.00023569026961922646,
-0.027572641149163246,
-0.011844074353575706,
-0.0008389552822336555,
0.04479873552918434,
-0.03750169649720192,
0.06099017709493637,
0.008050340227782726,
-0.02820795588195324,
0.014031371101737022,
0.022254154086112976,
-0.015202164649963379,
0.04813867434859276,
-0.038663413375616074,
-0.004086432512849569,
0.017852332442998886,
-0.0025594092439860106,
0.0060808658599853516,
0.01898682303726673,
-0.049046266824007034,
-0.062079284340143204,
0.051514916121959686,
0.006430288776755333,
0.03011390008032322,
-0.0039003761485219,
-0.03300004079937935,
-0.00879910308867693,
0.021981876343488693,
-0.013750017620623112,
0.01665431074798107,
0.05554462596774101,
-0.03993404284119606,
0.027372971177101135,
-0.026882871985435486,
0.017126258462667465,
0.002532181330025196,
0.01606437750160694,
-0.018805304542183876,
0.09809253364801407,
-0.0417129248380661,
0.012025592848658562,
-0.06411229074001312,
0.025376269593834877,
-0.014249192550778389,
0.01367740985006094,
0.02029375545680523,
-0.012633679434657097,
-0.02699178270995617,
-0.05231359601020813,
-0.008721957914531231,
-0.0430198572576046,
-0.023688148707151413,
-0.05641591176390648,
0.052495114505290985,
-0.007941429503262043,
-0.004651408642530441,
0.02604788728058338,
-0.01684490591287613,
-0.019894413650035858,
-0.025866368785500526,
0.015329226851463318,
-0.015655960887670517,
-0.008985159918665886,
0.04414527118206024,
-0.005804050248116255,
-0.010900178924202919,
0.03323601558804512,
0.012633679434657097,
-0.042910944670438766,
-0.008513212203979492,
-0.021401017904281616,
-0.08582188934087753,
0.03957100585103035,
-0.03241918236017227,
0.024777259677648544,
0.029242610558867455,
-0.0577954538166523,
-0.022744253277778625,
-0.012751665897667408,
0.060481924563646317,
-0.03116670623421669,
-0.029006637632846832,
-0.017353156581521034,
0.030204659327864647,
-0.025503331795334816,
-0.004644601605832577,
-0.05020798370242119,
0.017462067306041718,
0.07689118385314941,
0.01812461018562317,
0.021001676097512245,
0.04345550015568733,
-0.02000332623720169,
0.013323449529707432,
-0.007165438029915094,
-0.02528551034629345,
-0.028462082147598267,
-0.034470342099666595,
0.020221147686243057,
0.018768999725580215,
0.02604788728058338,
0.08879879117012024,
-0.02909739688038826,
0.032165057957172394,
-0.055943965911865234,
-0.007297039031982422,
0.03270961344242096,
0.018932366743683815,
-0.013296221382915974,
-0.024123793467879295,
0.02544887736439705,
0.004488042090088129,
-0.035250868648290634,
-0.015873782336711884,
0.05060732364654541,
-0.043600715696811676,
0.008431528694927692,
-0.009974434971809387,
0.06759744137525558,
0.0041794609278440475,
0.027572641149163246,
0.0055816899985075,
-0.03530532494187355,
0.039425790309906006,
-0.005513620562851429,
0.05514528229832649,
0.002245155395939946,
-0.016472792252898216,
-0.016336653381586075,
0.009271050803363323,
0.017489295452833176,
0.025884520262479782,
-0.04922778531908989,
-0.00279084499925375,
-0.04501655697822571,
0.0012059627333655953,
0.052567724138498306,
0.019295403733849525,
0.03368981182575226,
0.017788801342248917,
0.06099017709493637,
0.017525600269436836,
-0.0027953831013292074,
-0.01911388523876667,
0.019912566989660263,
0.0052050394006073475,
-0.060481924563646317,
-0.0034284284338355064,
-0.05852152407169342,
-0.012297870591282845,
-0.04853801429271698,
-0.01803385093808174,
-0.009774764999747276,
0.03143898397684097,
-0.07416840642690659,
-0.06984826922416687,
-0.007319728843867779,
0.03182017058134079,
-0.014675760641694069,
0.04058751091361046,
-0.036339979618787766,
0.015492593869566917,
0.006271460093557835,
-0.09627734869718552,
0.012942260131239891,
-0.006253308150917292,
-0.0374290905892849,
-0.0361221581697464,
-0.01188945397734642,
-0.03746539354324341,
-0.025376269593834877,
0.011344898492097855,
-0.04229378327727318,
-0.042511604726314545,
-0.025757458060979843,
0.04704956337809563,
-0.013659258373081684,
-0.0257756095379591,
-0.06770635396242142,
-0.08945225924253464,
-0.02033005841076374,
0.04207596182823181,
0.0180610790848732,
0.050462108105421066,
0.05717828869819641,
0.03258254751563072,
0.01704457588493824,
-0.0860397145152092,
-0.00016038850299082696,
-0.04900996387004852,
0.007396874018013477,
-0.016772298142313957,
-0.044617217034101486,
0.0033580900635570288,
0.01280612125992775,
0.0011912144254893064,
-0.04570632800459862,
-0.01638203300535679,
0.0965677797794342,
0.021800357848405838,
0.03191092982888222,
0.02690102346241474,
0.04788454994559288,
0.007020223420113325,
-0.011962060816586018,
0.039062757045030594,
-0.008826331235468388,
-0.006593655329197645,
-0.06120799854397774,
0.03848189488053322,
0.08415192365646362,
-0.08436974138021469,
0.018678240478038788,
-0.026066038757562637,
-0.006030948366969824,
0.0016257240204140544,
0.04407266154885292,
0.0676700547337532,
0.027100693434476852,
-0.044580914080142975,
-0.009992586448788643,
-0.0027182376943528652,
-0.00598556874319911,
0.015637807548046112,
-0.021165043115615845,
0.0008412242168560624,
-0.010636976920068264,
-0.013114702887833118,
-0.01032839622348547,
-0.076165109872818,
-0.03543238714337349,
0.020765703171491623,
0.016000844538211823,
0.026084192097187042,
0.007510323077440262,
-0.02029375545680523,
0.015610580332577229,
0.03209244832396507,
-0.047739334404468536,
-0.0577954538166523,
-0.009411728009581566,
-0.01931355521082878,
-0.03928057849407196,
0.012588299810886383,
-0.017380384728312492,
-0.027300365269184113,
0.031638652086257935,
0.023179898038506508,
0.02439606934785843,
0.044943951070308685,
0.023524781689047813,
0.034996744245290756,
0.019095733761787415,
0.012443085201084614,
-0.06999348849058151,
-0.05993736907839775,
-0.01750744692981243,
0.044254180043935776,
-0.00965677760541439,
0.02975086309015751,
0.008658426813781261,
0.026592442765831947,
-0.04606936499476433,
-0.016699690371751785,
0.07209909707307816,
0.018015699461102486,
-0.04948190972208977,
0.02512214332818985,
0.012198034673929214,
0.07543903589248657,
0.06465684622526169,
0.02690102346241474,
-0.04516177251935005,
-0.027082541957497597,
0.0009824682492762804,
-0.017226094380021095,
-0.11479222029447556,
0.03205614537000656,
0.027772312983870506,
0.004742167890071869,
-0.014712064526975155,
0.017979394644498825,
0.030567694455385208,
0.009756612591445446,
-0.029805317521095276,
-0.012325097806751728,
-0.016245894134044647,
0.03080366924405098,
-0.003843651618808508,
-0.08124762773513794,
-0.039462096989154816,
0.03265515714883804,
-0.020584184676408768,
0.0019127499544993043,
-0.05917499214410782,
-0.044217877089977264,
0.0005836950149387121,
0.002895218087360263,
0.03388947993516922,
-0.029042940586805344,
-0.0024799949023872614,
0.028189804404973984,
-0.02085646241903305,
-0.0015678650233894587,
0.0011248467490077019,
-0.0078098285011947155,
0.006121707148849964,
0.02394227497279644,
0.03657595440745354,
0.026610594242811203,
-0.009756612591445446,
0.0031561509240418673,
-0.012080048210918903,
0.02857099287211895,
0.0646931529045105,
-0.039825133979320526,
-0.031838323920965195,
0.025376269593834877,
-0.024214552715420723,
-0.024033034220337868,
-0.008386149071156979,
-0.06349512934684753,
-0.015329226851463318,
-0.022508278489112854,
0.007750834804028273,
0.018605634570121765,
0.02406933717429638,
-0.018968671560287476,
-0.005077976733446121,
0.01724424585700035,
-0.016372958198189735,
-0.01836058497428894,
-0.0210198275744915,
0.027608945965766907,
-0.021564383059740067,
-0.04134988784790039,
0.00988367572426796,
-0.00211015110835433,
-0.02621125429868698,
0.02844393067061901,
0.02239936776459217,
-0.000004737381459563039,
-0.017816029489040375,
0.00127857003826648,
0.04062381386756897,
-0.019894413650035858,
-0.039752524346113205,
-0.03534162789583206,
0.025212902575731277,
0.0009490007651038468,
0.023270655423402786,
-0.010155953466892242,
0.051841650158166885,
-0.03957100585103035,
-0.030331721529364586,
-0.0019048084504902363,
0.005286722909659147,
0.022090787068009377,
-0.0029020251240581274,
-0.03635813295841217,
0.003308172570541501,
0.02601158432662487,
0.022671645507216454,
-0.008404300548136234,
-0.025902673602104187,
-0.01802477426826954,
0.02121949940919876,
0.04309246316552162,
0.07206279784440994,
0.035650208592414856,
0.0012570148101076484,
-0.021455472335219383,
0.01635480672121048,
-0.00786428339779377,
0.018605634570121765,
0.041821833699941635,
0.028552841395139694,
0.017189791426062584,
-0.025249207392334938,
-0.0037256646901369095,
0.0404059924185276,
0.029079245403409004,
-0.07609250396490097,
-0.014448863454163074,
0.02276240475475788,
0.01846041902899742,
-0.043491803109645844,
-0.027136998251080513,
0.00815925095230341,
-0.07311560213565826,
0.04715847596526146,
-0.01546536572277546,
-0.009702157229185104,
0.018405964598059654,
-0.03214690461754799,
-0.04853801429271698,
0.014639457687735558,
0.01947692222893238,
-0.05398356541991234,
-0.005785898305475712,
-0.025212902575731277,
0.005005369428545237,
0.0035736430436372757,
-0.05209577456116676,
-0.03505120053887367,
0.014539622701704502,
-0.09126744419336319,
-0.034107305109500885,
-0.018070153892040253,
-0.04124097526073456,
-0.000776558299548924,
0.006316839717328548,
0.027808615937829018,
-0.04410896450281143,
-0.018242597579956055,
-0.005232267081737518,
0.004896458238363266,
0.008917090483009815,
-0.014585001394152641,
-0.04476243257522583,
-0.04962712526321411,
-0.02085646241903305,
0.04058751091361046,
0.008926166221499443,
-0.01195298507809639,
-0.018859758973121643,
-0.014920811168849468,
0.003689361037686467,
0.0011583141749724746,
0.004576532170176506,
0.007678227499127388,
0.010292092338204384,
0.009774764999747276,
0.0036666712258011103,
-0.03154789283871651,
-0.029551193118095398,
-0.003371703904122114,
-0.02207263559103012,
-0.03174756467342377,
0.008485984057188034,
0.06589116901159286,
-0.046686526387929916,
0.06440272182226181,
-0.029533039778470993,
-0.054201386868953705,
0.006511971820145845,
0.00952063873410225,
0.008304465562105179,
-0.006144396960735321,
-0.0026229405775666237,
-0.07119151204824448,
0.005136969964951277,
0.002153261797502637,
-0.0257756095379591,
0.026483532041311264,
-0.03421621397137642,
-0.07957765460014343,
-0.03221951425075531,
-0.010900178924202919,
0.01024671271443367,
0.01759820617735386,
0.039026450365781784,
0.0073560322634875774,
-0.0027114308904856443,
-0.007238045334815979,
0.04120467230677605,
0.016273122280836105,
-0.0048193130642175674,
0.030222810804843903,
0.0178977120667696,
0.032037995755672455,
0.004190805368125439,
-0.019422465935349464,
0.0215099286288023,
-0.013132854364812374,
0.03643073886632919,
-0.032037995755672455,
0.026846569031476974,
-0.0574687197804451,
0.03724757209420204,
0.020947221666574478,
-0.010382851585745811,
0.040478598326444626,
0.002227003686130047,
-0.00867204088717699,
0.08168327063322067,
-0.02414194494485855,
-0.005940189119428396,
0.012642755173146725,
-0.008535902015864849,
0.03764691203832626,
0.0075466264970600605,
-0.006421212572604418,
-0.005758670624345541,
-0.023815210908651352,
0.0066980281844735146,
-0.03428882360458374,
0.01763451099395752,
0.020239299163222313,
0.013604803010821342,
-0.04657761752605438,
-0.015356454998254776,
-0.008127485401928425,
0.014367179945111275,
-0.024486828595399857,
0.008231858722865582,
-0.013178233988583088,
0.0062623838894069195,
0.0026252095121890306,
-0.04160401225090027,
0.011471961624920368,
-0.0564885213971138,
-0.002740927506238222,
-0.03334492817521095,
-0.00860397145152092,
0.029405977576971054,
-0.004295178689062595,
0.012778894044458866,
-0.0004861289053224027,
-0.01767081394791603,
0.04639609903097153,
0.05710568279027939,
-0.028462082147598267,
0.04519807547330856,
-0.013686485588550568,
0.03136637434363365,
-0.008681116625666618,
0.009143988601863384,
0.030222810804843903,
0.029859773814678192,
0.0018061079317703843,
-0.028153501451015472,
-0.007818903774023056,
-0.009602322243154049,
-0.013976914808154106,
-0.022217849269509315,
0.016037149354815483,
-0.005105204414576292,
0.008045801892876625,
0.010373775847256184,
-0.014911734499037266,
-0.022471975535154343,
-0.004419972654432058,
-0.026592442765831947,
0.02285316400229931,
0.034070998430252075,
0.032328423112630844,
0.00040756550151854753,
-0.03920796886086464,
-0.016236819326877594,
0.0078098285011947155,
0.022217849269509315,
0.013949687592685223,
-0.05481855198740959,
-0.005359330214560032,
0.03450664505362511,
0.059066079556941986,
0.006334991659969091,
-0.029605647549033165,
0.02082015760242939,
0.030731061473488808,
-0.01996702142059803,
0.015347379259765148,
0.0011957522947341204,
-0.0032990965992212296,
-0.012198034673929214,
0.07275256514549255,
-0.03570466488599777,
0.02597527951002121,
-0.05017168074846268,
0.02236306481063366,
-0.014113053679466248,
-0.02065679244697094,
-0.025067688897252083,
0.02341587096452713,
-0.021818509325385094,
0.07057434320449829,
-0.05608917772769928,
0.019204644486308098,
0.05017168074846268,
0.0008321483037434518,
-0.04603306204080582,
-0.011816846206784248,
0.0005476750084199011,
-0.027808615937829018,
0.05343900993466377,
-0.033417534083127975,
-0.03300004079937935,
0.02771785669028759,
0.007637385744601488,
0.0007147286087274551,
0.027971982955932617,
0.019948869943618774,
0.0028543765656650066,
-0.07021130621433258,
-0.005908423103392124,
-0.013196386396884918,
0.10702323913574219,
-0.0040410528890788555,
0.013287145644426346,
0.04741260036826134,
0.009729385375976562,
0.025339966639876366,
0.036993447691202164,
-0.051115576177835464,
-0.009865524247288704,
0.039462096989154816,
0.034434035420417786,
-0.02268979698419571,
-0.017525600269436836,
0.025594091042876244,
-0.0034738080576062202,
0.009212058037519455,
0.05500007048249245,
0.03599509596824646,
-0.01770711876451969,
0.005332102533429861,
0.003335400251671672,
0.04200335219502449,
0.005182349588721991,
0.017543751746416092,
0.015301999635994434,
0.03307265043258667,
0.04788454994559288,
0.024686500430107117,
-0.030658453702926636,
-0.047376297414302826,
0.0351419597864151,
0.015356454998254776,
0.0018707738490775228,
0.0043609789572656155,
-0.00952063873410225,
0.011780543252825737,
0.013296221382915974,
-0.03693899139761925,
-0.025630395859479904,
-0.0321832075715065,
0.0005371809820644557,
-0.01796124316751957,
-0.011127077043056488,
-0.018896063789725304,
0.017353156581521034,
-0.02272610180079937,
0.003959369845688343,
-0.03721126914024353,
0.02397857792675495,
-0.007818903774023056,
0.015138632617890835,
0.005794974509626627,
0.01615513674914837,
0.008399763144552708,
-0.010155953466892242,
0.029333369806408882,
-0.05035319924354553,
-0.010691432282328606,
0.02009408548474312,
-0.03189278021454811,
-0.042511604726314545,
0.00015003628504928201,
0.01915018819272518,
-0.01060974970459938,
0.009847371838986874,
-0.022217849269509315,
0.02025745064020157,
0.01533830352127552,
-0.01816091313958168,
0.0180610790848732,
0.02820795588195324,
0.011798694729804993,
0.03964361548423767,
0.009511562995612621,
-0.008794565685093403,
0.014938962645828724,
0.05158752202987671,
-0.024704651907086372,
0.009234747849404812,
0.041858136653900146,
-0.07674597203731537,
-0.05761393532156944,
-0.02909739688038826,
0.018042927607893944,
0.009910903871059418,
0.01024671271443367,
-0.002759079448878765,
0.05343900993466377,
-0.04610566794872284,
-0.03530532494187355,
-0.0020069126039743423,
-0.015873782336711884,
-0.02390597015619278,
-0.003083543386310339,
0.03209244832396507,
0.005386557895690203,
-0.04272942617535591,
0.03160234913229942,
-0.052567724138498306,
-0.04294724762439728,
-0.025049535557627678,
0.00996535923331976,
0.006566427182406187,
0.060409318655729294,
0.04610566794872284,
0.02154623158276081,
-0.014158433303236961,
0.03149344027042389,
-0.025467028841376305,
0.06643572449684143,
0.010555293411016464,
-0.032691460102796555,
0.030422480776906013,
-0.041495103389024734,
-0.03953470289707184,
0.0024845327716320753,
-0.05823109671473503,
-0.00034176508779637516,
0.052821848541498184,
0.02515844814479351,
0.010464534163475037,
-0.003566836239770055,
-0.002954211551696062,
0.0005533474613912404,
0.03967991843819618,
-0.01802477426826954,
-0.0007493305602110922,
0.014439786784350872,
-0.005745056550949812,
0.11704304814338684,
-0.00027284480165690184,
0.011599024757742882,
0.009089533239603043,
0.07202649116516113,
-0.019622137770056725,
-0.029569344595074654,
-0.027990134432911873,
-0.03345383703708649,
-0.0016790450317785144,
-0.027736008167266846,
0.0008576743421144783,
0.007941429503262043,
0.008576743304729462,
0.008399763144552708,
-0.0426931232213974,
-0.0011776004685088992,
-0.01635480672121048,
-0.010010738857090473,
0.014058598317205906,
-0.01858748123049736,
0.0031493438873440027,
0.06262384355068207,
-0.026283862069249153,
0.041821833699941635,
-0.015810251235961914,
-0.009121298789978027,
-0.02062048763036728,
0.04240269213914871,
-0.02670135349035263,
0.03516010940074921,
0.022816861048340797,
-0.015556124970316887,
-0.064366415143013,
-0.012878729030489922,
-0.02528551034629345,
-0.006548275705426931,
0.028226107358932495,
-0.00422030221670866,
0.02321620099246502,
-0.04069641977548599,
0.0048011611215770245,
-0.019368011504411697,
-0.050462108105421066,
-0.035250868648290634,
0.022617191076278687,
0.002382428850978613,
-0.010028890334069729,
-0.002808996941894293,
0.022580886259675026,
0.03412545472383499,
-0.024722803384065628,
-0.017298702150583267,
-0.0024618429597467184,
0.016372958198189735,
0.03432512655854225,
0.01862378604710102,
0.01802477426826954,
-0.007705455180257559,
0.009330044500529766,
-0.02483171410858631,
0.013713713735342026,
-0.017443915829062462,
0.049336694180965424,
0.006030948366969824,
0.03465186059474945,
-0.00939357653260231,
0.01160810049623251,
-0.04374593123793602,
0.002654706360772252,
-0.01783418096601963,
-0.015619657002389431,
-0.00709283072501421,
-0.026719504967331886,
-0.017017347738146782,
-0.00025284942239522934,
0.013849852606654167,
0.07311560213565826,
0.007905125617980957,
-0.020965373143553734,
0.005082514602690935,
0.006598193198442459,
-0.05053471773862839,
0.004419972654432058,
0.008004960604012012,
0.06287796795368195,
-0.025049535557627678,
0.0041658468544483185,
0.017743421718478203,
-0.02926076203584671,
-0.049736037850379944,
0.022653494030237198,
-0.010518990457057953,
-0.04066011682152748,
-0.0040410528890788555,
-0.025303661823272705,
-0.009811068885028362,
-0.0215099286288023,
-0.0015848823823034763,
-0.004873768426477909,
-0.04708586633205414,
0.021945571526885033,
-0.0038323067128658295,
0.026156798005104065,
-0.023669997230172157,
-0.001393153565004468,
-0.05786805972456932,
-0.017053652554750443,
0.01891421526670456,
-0.0010913792066276073,
0.00249133980832994,
-0.007823442108929157,
0.0001310335792368278,
-0.02699178270995617,
-0.0014249192317947745,
-0.040478598326444626,
-0.00023115231306292117,
-0.03468816354870796,
0.023797059431672096,
0.052168384194374084,
-0.026410924270749092,
-0.00937542412430048,
0.031838323920965195,
0.014448863454163074,
-0.034887831658124924,
0.0006120572797954082,
-0.014929886907339096,
-0.010727736167609692,
-0.000844060443341732,
-0.01375909335911274,
-0.057686541229486465,
0.017734345048666,
0.03209244832396507,
-0.0028362246230244637,
0.028752511367201805,
-0.04066011682152748,
0.047339994460344315,
-0.03372611477971077,
-0.017915863543748856,
0.0495908223092556,
-0.001130519201979041,
0.009493411518633366,
0.023887818679213524,
-0.018233520910143852,
-0.027209606021642685,
-0.0157648716121912,
0.0036167537327855825,
-0.03367165848612785,
-0.01882345601916313,
0.05608917772769928,
0.05441921204328537,
0.025231054052710533,
-0.01878715306520462,
0.02312544174492359,
-0.018660089001059532,
0.0010238770628347993,
0.016826754435896873,
0.017198866233229637,
-0.04784824326634407,
0.011717011220753193,
-0.017126258462667465,
0.004626449663192034,
0.03661225736141205,
0.029206307604908943,
0.02414194494485855,
-0.027990134432911873,
0.012996716424822807,
0.009320968762040138,
-0.038118861615657806,
-0.014094902202486992,
-0.01039192732423544,
0.021745901554822922,
0.016853980720043182,
0.023815210908651352,
0.03675747290253639,
0.02653798647224903,
0.0010170701425522566,
-0.03330862149596214,
-0.050389502197504044,
-0.012769818305969238,
0.039026450365781784,
0.004211226478219032,
-0.03307265043258667,
0.00701114721596241,
-0.005313950590789318,
0.018079230561852455,
0.006235156208276749,
-0.01648186892271042,
-0.007610158063471317,
0.002019392093643546,
0.01964028924703598,
-0.0318564772605896,
-0.019712895154953003,
0.009938131086528301,
-0.030004987493157387,
-0.002595712896436453,
-0.008132023736834526,
-0.016409261152148247,
0.012025592848658562,
0.0075466264970600605,
-0.0031379989814013243,
0.009026001207530499,
0.056343305855989456,
-0.006829629186540842,
-0.03632182627916336,
-0.002677396172657609,
-0.01412213034927845,
0.013241766020655632,
0.06291426718235016,
-0.04247530177235603,
0.017035499215126038,
0.04646870493888855,
-0.009438956156373024,
-0.031711261719465256,
0.008830869570374489,
0.012915032915771008,
0.001456685015000403,
0.0022723833099007607,
-0.023397719487547874,
-0.007147286087274551,
0.01976735144853592,
-0.0211831945925951,
-0.013305297121405602,
0.0018106458010151982,
-0.01404044684022665,
-0.012942260131239891,
0.02312544174492359,
0.0058403536677360535,
0.006784249562770128,
-0.02962379902601242,
0.007955042645335197,
0.05394726246595383,
0.010882026515901089,
0.03172941133379936,
0.0156015045940876,
-0.007537550758570433,
-0.009938131086528301,
0.0637129545211792,
0.012933184392750263,
-0.0075647784397006035,
-0.012933184392750263,
-0.013568499125540257,
-0.018696393817663193,
0.07082847505807877,
-0.08495060354471207,
-0.012978564016520977,
0.020311906933784485,
-0.019821807742118835,
-0.01359572634100914,
-0.025231054052710533,
0.030295416712760925,
-0.03243733569979668
] |
Current state-of-the-art crowd navigation approaches are mainly deep
reinforcement learning (DRL)-based. However, DRL-based methods suffer from the
issues of generalization and scalability. To overcome these challenges, we
propose a method that includes a Collision Probability (CP) in the observation
space to give the robot a sense of the level of danger of the moving crowd to
help the robot navigate safely through crowds with unseen behaviors. We studied
the effects of changing the number of moving obstacles to pay attention during
navigation. During training, we generated local waypoints to increase the
reward density and improve the learning efficiency of the system. Our approach
was developed using deep reinforcement learning (DRL) and trained using the
Gazebo simulator in a non-cooperative crowd environment with obstacles moving
at randomized speeds and directions. We then evaluated our model on four
different crowd-behavior scenarios. The results show that our method achieved a
100% success rate in all test settings. We compared our approach with a current
state-of-the-art DRL-based approach, and our approach has performed
significantly better, especially in terms of social safety. Importantly, our
method can navigate in different crowd behaviors and requires no fine-tuning
after being trained once. We further demonstrated the crowd navigation
capability of our model in real-world tests. | [
0.016375379636883736,
-0.010902013629674911,
-0.031015736982226372,
-0.005696950480341911,
0.03201739862561226,
-0.02999618835747242,
-0.05140670761466026,
0.040459975600242615,
-0.07072446495294571,
0.00793280266225338,
0.0053257993422448635,
-0.00890316255390644,
-0.0001855757145676762,
-0.030192945152521133,
-0.022143878042697906,
0.022787801921367645,
0.0451105497777462,
-0.02396833337843418,
0.0028842489700764418,
-0.03638178110122681,
0.002240323694422841,
-0.021947123110294342,
0.00911780446767807,
0.06056475639343262,
0.028100186958909035,
0.00011353935406077653,
0.014541980810463428,
0.0040849014185369015,
-0.07934591174125671,
0.0711895227432251,
0.028976641595363617,
0.02443338930606842,
0.021696707233786583,
-0.013763904571533203,
-0.025166749954223633,
0.005643290001899004,
0.08828932046890259,
0.016849379986524582,
0.0008602440357208252,
0.05190753936767578,
0.050476592034101486,
-0.01812828704714775,
-0.037168800830841064,
-0.03849242627620697,
-0.004348732065409422,
-0.03441423177719116,
-0.0427137166261673,
0.0005508580361492932,
-0.03332313522696495,
-0.004740005824714899,
0.019031571224331856,
-0.006238027010113001,
0.027098525315523148,
-0.04267794266343117,
-0.03895748406648636,
-0.004100552294403315,
0.03021083027124405,
0.003474513767287135,
0.04883100464940071,
0.0021654225420206785,
0.043930020183324814,
-0.011760581284761429,
-0.0728708878159523,
-0.02844003587961197,
-0.01158171333372593,
-0.013334620743989944,
0.04253484681248665,
-0.019389307126402855,
0.005008308216929436,
-0.07247737795114517,
-0.05888339504599571,
0.04246329888701439,
-0.09215287119150162,
0.0015617425087839365,
0.019890138879418373,
-0.013549262657761574,
0.022716255858540535,
0.05959886685013771,
-0.00991823896765709,
-0.0069848014973104,
0.02223331108689308,
-0.0059563093818724155,
-0.018960023298859596,
-0.0008742181234993041,
0.0836387500166893,
-0.06017124652862549,
0.07841579616069794,
-0.07791496813297272,
0.025363504886627197,
-0.046899229288101196,
-0.027402600273489952,
0.03970872983336449,
-0.00810719933360815,
0.011054052039980888,
0.02482689917087555,
-0.027456261217594147,
-0.028744112700223923,
-0.027992865070700645,
-0.04217711091041565,
-0.014541980810463428,
0.002081578131765127,
0.018405532464385033,
0.0162143986672163,
-0.002586880698800087,
0.03561265021562576,
-0.006354290992021561,
-0.029835207387804985,
0.047507382929325104,
0.008657218888401985,
0.1519663780927658,
-0.016903040930628777,
-0.014622471295297146,
0.021786140277981758,
0.03956563398241997,
-0.07161881029605865,
-0.00494123250246048,
-0.03842087835073471,
-0.0496537983417511,
0.008317369036376476,
-0.013441941700875759,
0.018423419445753098,
0.043500736355781555,
0.010848353616893291,
-0.030586455017328262,
-0.01706402190029621,
-0.04986844211816788,
0.03441423177719116,
0.0026025315746665,
-0.009064143523573875,
-0.0036511460784822702,
0.01819983497262001,
-0.026794448494911194,
-0.001158171333372593,
0.009515785612165928,
0.04131854325532913,
-0.003997703082859516,
-0.03629234805703163,
-0.018494967371225357,
0.008205576799809933,
0.03484351560473442,
-0.040209561586380005,
-0.05469788238406181,
-0.03824201226234436,
0.061602190136909485,
-0.01792258955538273,
0.06296159327030182,
-0.026114750653505325,
0.025721240788698196,
-0.053875088691711426,
0.012672808952629566,
-0.04897410050034523,
0.05205063149333,
0.03566630929708481,
0.031248265877366066,
0.03607770800590515,
-0.00733806611970067,
-0.030604340136051178,
0.008594614453613758,
-0.006376649718731642,
-0.046935003250837326,
0.05362467095255852,
-0.01035646628588438,
0.010141824372112751,
0.04528941586613655,
0.0690431073307991,
0.022859349846839905,
0.0752677172422409,
-0.00009872683585854247,
-0.0690431073307991,
0.03788427636027336,
-0.04460971802473068,
-0.0275814700871706,
-0.0366143099963665,
0.03877861425280571,
0.021982895210385323,
0.020820252597332,
0.0500115342438221,
0.008348670788109303,
-0.050762780010700226,
0.04621953144669533,
-0.07612628489732742,
-0.03445000573992729,
0.0209991205483675,
0.030729549005627632,
0.03523702546954155,
0.02302033081650734,
0.027116412296891212,
-0.014085867442190647,
0.02071293257176876,
0.008509652689099312,
0.0016053416766226292,
-0.004290599841624498,
0.03031815215945244,
-0.03491506353020668,
0.02854735776782036,
-0.04267794266343117,
-0.043679602444171906,
0.0034409761428833008,
-0.0002839531807694584,
0.05008308216929436,
-0.03371664509177208,
-0.02616841159760952,
0.024129314348101616,
-0.01706402190029621,
0.028493696823716164,
0.02699120342731476,
0.06027856841683388,
0.020981233566999435,
-0.007981991395354271,
-0.09086502343416214,
-0.04890255257487297,
-0.060958266258239746,
-0.02999618835747242,
-0.009846691973507404,
-0.07058137655258179,
-0.013432998210191727,
0.013146809302270412,
0.015615189447999,
0.02489844709634781,
0.009748314507305622,
0.002238087821751833,
0.0162143986672163,
0.06331932544708252,
-0.01777055114507675,
-0.0788450837135315,
0.012046770192682743,
0.036632198840379715,
0.025649692863225937,
-0.027492035180330276,
-0.02801075205206871,
-0.02917339652776718,
-0.05287342518568039,
0.03264343738555908,
0.028279054909944534,
0.0485805906355381,
0.03115883283317089,
0.035147592425346375,
0.01678677648305893,
-0.013540319167077541,
-0.010436956770718098,
-0.014032206498086452,
-0.025113089010119438,
-0.0028305884916335344,
-0.001349336584098637,
0.0916520431637764,
0.05158557370305061,
-0.025059428066015244,
0.054053954780101776,
0.005111157428473234,
-0.020981233566999435,
-0.06775525957345963,
-0.017967306077480316,
0.01653636060655117,
-0.006452668458223343,
-0.014595641754567623,
0.01521273609250784,
0.02096334844827652,
-0.05566376820206642,
0.034467894583940506,
-0.02276991680264473,
0.05956309661269188,
0.040316883474588394,
-0.026544034481048584,
0.027170073240995407,
-0.015740398317575455,
-0.032947514206171036,
0.030228717252612114,
0.06943661719560623,
0.022036556154489517,
-0.01228824257850647,
-0.036954160779714584,
-0.06618122011423111,
-0.043107226490974426,
0.01335250772535801,
0.015168019570410252,
-0.012851676903665066,
0.05180021747946739,
-0.008746652863919735,
0.014774509705603123,
0.026883883401751518,
0.022752029821276665,
-0.02276991680264473,
0.0282969418913126,
-0.030192945152521133,
-0.031015736982226372,
-0.017788438126444817,
-0.034396346658468246,
-0.0009787441231310368,
-0.033126380294561386,
0.02237640507519245,
-0.026025315746665,
-0.02157149836421013,
-0.03491506353020668,
0.004509713500738144,
0.04847326874732971,
0.022143878042697906,
-0.004205637611448765,
-0.019711270928382874,
0.027670903131365776,
0.009909295476973057,
-0.020730819553136826,
0.007293349131941795,
0.044001564383506775,
0.017502248287200928,
0.04486013203859329,
-0.012967941351234913,
0.00663153687492013,
-0.0026248900685459375,
-0.04156895726919174,
-0.07347903400659561,
0.010902013629674911,
-0.019890138879418373,
-0.00012639550550375134,
-0.044395074248313904,
0.023789463564753532,
0.036882612854242325,
0.02135685831308365,
-0.031319811940193176,
-0.034467894583940506,
0.011009334586560726,
0.000713795714545995,
0.013951716013252735,
-0.05974196270108223,
0.015445264987647533,
-0.0020838140044361353,
0.044073112308979034,
0.035326458513736725,
0.01610707677900791,
-0.06035011634230614,
-0.009247483685612679,
-0.013522432185709476,
-0.03228570148348808,
-0.06682514399290085,
-0.01552575547248125,
-0.0157940573990345,
0.07115375250577927,
-0.06897155940532684,
-0.012672808952629566,
-0.013280960731208324,
-0.005714837461709976,
-0.02226908504962921,
0.023628482595086098,
-0.02518463507294655,
0.0029289659578353167,
-0.009640993550419807,
-0.03870707005262375,
0.03183853253722191,
0.0011995345121249557,
0.02953113242983818,
-0.05273033306002617,
0.0009340271353721619,
0.021768255159258842,
-0.006935612764209509,
-0.02302033081650734,
0.08972026407718658,
-0.003870259737595916,
-0.0031391361262649298,
-0.006519744172692299,
-0.03509393334388733,
-0.061995700001716614,
0.021678820252418518,
0.0063721779733896255,
-0.014488320797681808,
0.03895748406648636,
-0.04571869969367981,
0.03749076649546623,
-0.007083178963512182,
-0.001838988158851862,
0.00979303102940321,
0.024630144238471985,
-0.015346887521445751,
0.0025958239566534758,
0.009019427001476288,
-0.022215424105525017,
-0.01819983497262001,
-0.0029446170665323734,
-0.007239688653498888,
-0.03910057991743088,
-0.043500736355781555,
0.021750368177890778,
-0.0057729696854949,
0.033019062131643295,
0.001143079251050949,
0.009184879250824451,
-0.00005865617640665732,
0.11261539161205292,
0.06020702049136162,
-0.044180434197187424,
-0.003921684343367815,
0.061459098011255264,
-0.03931521996855736,
-0.03555898740887642,
-0.06968703120946884,
0.025113089010119438,
0.037311896681785583,
-0.022054443135857582,
0.04153318330645561,
-0.0016388794174417853,
-0.016098134219646454,
-0.033627212047576904,
0.005831101909279823,
0.007409613113850355,
0.04103235527873039,
0.029405923560261726,
0.02418297342956066,
-0.009122275747358799,
-0.03267921134829521,
-0.03250034525990486,
-0.04807975888252258,
-0.002951324451714754,
-0.007637670263648033,
-0.02588222175836563,
0.012511827051639557,
0.011089825071394444,
0.0012811431661248207,
0.022787801921367645,
-0.020301535725593567,
0.011644316837191582,
-0.037133026868104935,
-0.06675359606742859,
-0.02461225725710392,
0.023539049550890923,
0.05584263801574707,
0.03849242627620697,
-0.04979689419269562,
0.05641501396894455,
0.057702865451574326,
-0.010732089169323444,
-0.024451276287436485,
-0.02471957914531231,
0.0310515109449625,
0.01983647793531418,
0.01575828343629837,
-0.057810187339782715,
-0.008031180128455162,
0.0029446170665323734,
0.0010240201372653246,
-0.021965010091662407,
-0.010463787242770195,
-0.012735412456095219,
-0.05183599144220352,
-0.03384185582399368,
-0.013585036620497704,
-0.04450239613652229,
0.023592708632349968,
-0.043822698295116425,
0.037133026868104935,
-0.020194213837385178,
0.020194213837385178,
0.015024924650788307,
-0.0648575946688652,
0.032947514206171036,
-0.0005553297232836485,
-0.024558598175644875,
0.06195992976427078,
0.02107066847383976,
-0.06392747908830643,
-0.040459975600242615,
-0.01393382903188467,
-0.03257188946008682,
0.027205845341086388,
-0.0038814388681203127,
-0.02736682817339897,
-0.019872251898050308,
0.009533672593533993,
0.006519744172692299,
-0.027813997119665146,
-0.02164304628968239,
0.008138501085340977,
-0.018280325457453728,
0.020802365615963936,
-0.002759041264653206,
0.030711662024259567,
-0.0017417286289855838,
-0.04868791252374649,
0.024129314348101616,
-0.007646613754332066,
-0.022716255858540535,
-0.02056983672082424,
-0.013719187118113041,
0.0017730306135490537,
0.04897410050034523,
0.00485179852694273,
-0.05509139224886894,
0.012860620394349098,
0.00991823896765709,
0.02493422105908394,
-0.018387645483016968,
-0.011921562254428864,
-0.04621953144669533,
0.024558598175644875,
-0.05974196270108223,
-0.021303197368979454,
-0.03428902477025986,
-0.006591291632503271,
-0.02132108435034752,
0.0023990690242499113,
-0.058132149279117584,
0.057845961302518845,
0.030890529975295067,
-0.008898690342903137,
-0.07770032435655594,
0.02663346752524376,
0.008858445100486279,
-0.018333986401557922,
0.0019608421716839075,
0.05856143310666084,
-0.0041788071393966675,
-0.014425716362893581,
-0.009801974520087242,
0.029155509546399117,
0.04103235527873039,
-0.009623106569051743,
-0.025792786851525307,
0.0025734654627740383,
-0.0043822699226439,
0.027009090408682823,
-0.015534698963165283,
0.006492914166301489,
0.021696707233786583,
-0.0016042237402871251,
0.009037313051521778,
-0.030854756012558937,
0.0015740396920591593,
-0.018298212438821793,
0.03003196232020855,
0.021517839282751083,
-0.05151402950286865,
0.015642020851373672,
-0.037204574793577194,
-0.001032963627949357,
0.04296413064002991,
-0.028565244749188423,
-0.02298455685377121,
-0.04264216870069504,
-0.0427137166261673,
-0.009587332606315613,
-0.007548236288130283,
-0.019281987100839615,
-0.01127763744443655,
-0.020820252597332,
0.036954160779714584,
-0.024200860410928726,
0.010544277727603912,
0.018387645483016968,
0.028457922860980034,
0.023825237527489662,
-0.03799159452319145,
-0.016768889501690865,
0.010902013629674911,
0.010902013629674911,
-0.0017596154939383268,
-0.008621444925665855,
0.00006200995267136022,
-0.017573796212673187,
-0.03970872983336449,
0.002683022292330861,
0.011080882512032986,
-0.01384439505636692,
-0.0358988381922245,
-0.000997189898043871,
-0.009989785961806774,
-0.018566513434052467,
-0.018494967371225357,
0.007901500910520554,
-0.03650699183344841,
-0.009372691623866558,
0.05341003090143204,
-0.023592708632349968,
0.02475535310804844,
0.001985436538234353,
-0.03130192682147026,
-0.009730427525937557,
-0.010410126298666,
0.061387550085783005,
-0.030854756012558937,
-0.004283892456442118,
-0.028779886662960052,
-0.007736047729849815,
-0.005182704888284206,
0.0007104419637471437,
0.013763904571533203,
0.006774631328880787,
0.03137347474694252,
-0.008876332081854343,
-0.013468772172927856,
-0.031355585902929306,
-0.029978303238749504,
0.005665648728609085,
-0.030729549005627632,
-0.01901368424296379,
0.05945577472448349,
0.01111665554344654,
0.015391604974865913,
-0.02421874739229679,
-0.031892191618680954,
0.017976248636841774,
0.022054443135857582,
0.012628091499209404,
-0.07998983561992645,
-0.06578771024942398,
0.02786765806376934,
0.01388016901910305,
0.00757953803986311,
-0.028708338737487793,
-0.004440401680767536,
0.02234063297510147,
0.010436956770718098,
0.0023990690242499113,
-0.0011179259745404124,
0.004838383756577969,
0.007306763902306557,
-0.05194331333041191,
-0.04317877069115639,
0.0018635825254023075,
0.040925033390522,
0.0388859361410141,
-0.014479377306997776,
0.014774509705603123,
-0.01944296807050705,
0.006367706228047609,
-0.009010483510792255,
0.02284146286547184,
0.016759945079684258,
-0.024272408336400986,
0.04486013203859329,
0.0022939841728657484,
0.015042811632156372,
0.006756744347512722,
0.019281987100839615,
-0.03917212411761284,
0.02298455685377121,
0.019031571224331856,
-0.009801974520087242,
-0.029870981350541115,
0.025095202028751373,
-0.0024840314872562885,
0.07505307346582413,
0.015588359907269478,
-0.0054465350694954395,
0.0012498411815613508,
0.027635129168629646,
-0.007212858181446791,
0.04521786794066429,
-0.020444629713892937,
-0.002604767447337508,
-0.012538657523691654,
-0.017931532114744186,
0.051048971712589264,
0.024522824212908745,
-0.0075571793131530285,
0.011706920340657234,
0.017752664163708687,
0.02960267849266529,
0.0005980904097668827,
0.0034499194007366896,
0.03140924870967865,
-0.00710106547921896,
-0.036632198840379715,
0.04621953144669533,
-0.010034503415226936,
-0.03942254185676575,
0.00988246500492096,
0.00908650178462267,
0.015275340527296066,
0.03942254185676575,
0.06564461439847946,
0.006376649718731642,
-0.010275975801050663,
0.05963464081287384,
-0.013370394706726074,
0.014461490325629711,
-0.04239175096154213,
0.036954160779714584,
0.02323497273027897,
-0.015141189098358154,
0.03902903199195862,
0.03343045711517334,
0.018441306427121162,
-0.000032245177862932906,
-0.005840045399963856,
-0.014264735393226147,
-0.031427133828401566,
0.019425081089138985,
-0.03938676789402962,
-0.02822539396584034,
-0.018924251198768616,
0.014649301767349243,
-0.0030854756478220224,
0.02790343202650547,
-0.06661050021648407,
-0.03208894655108452,
-0.011107712052762508,
0.03892171010375023,
0.03194585070014,
0.006707555614411831,
-0.0034991081338375807,
-0.021839801222085953,
0.023664256557822227,
-0.028100186958909035,
-0.012529714033007622,
-0.025721240788698196,
-0.05620037391781807,
-0.006175423040986061,
0.024630144238471985,
0.02790343202650547,
-0.004380033817142248,
0.06052898243069649,
-0.03282230719923973,
0.008362086489796638,
0.0034186176490038633,
0.029584793373942375,
-0.0009122276096604764,
0.017663229256868362,
0.0067209708504378796,
0.009596276096999645,
0.018995797261595726,
-0.0061620078049600124,
0.005723780952394009,
0.028726225718855858,
0.00742750009521842,
0.030157171189785004,
0.0031995039898902178,
-0.04782934486865997,
-0.043822698295116425,
0.005155874416232109,
0.0162143986672163,
-0.037311896681785583,
0.011027221567928791,
0.0036109008360654116,
0.03942254185676575,
-0.03530857339501381,
-0.01799413561820984,
0.011340240947902203,
-0.0036869198083877563,
-0.0014700726605951786,
0.039994917809963226,
0.003065353026613593,
0.03586306422948837,
0.0004172658664174378,
0.03090841695666313,
-0.043679602444171906,
0.07927436381578445,
-0.016697341576218605,
0.003235277719795704,
0.021446291357278824,
0.0011391665320843458,
0.04639839753508568,
0.013540319167077541,
-0.05287342518568039,
0.06396324932575226,
-0.004856270272284746,
0.040102239698171616,
-0.05573531612753868,
-0.01944296807050705,
0.002508625853806734,
0.001237543998286128,
-0.005688007455319166,
-0.03466464951634407,
0.004263769369572401,
0.02486267313361168,
0.016062360256910324,
0.005348157603293657,
0.009462125599384308,
0.050655461847782135,
-0.022430066019296646,
0.0015416198875755072,
0.005777441430836916,
-0.005688007455319166,
-0.015060698613524437,
0.00002663807936187368,
-0.0033470704220235348,
0.058096375316381454,
0.004460524767637253,
-0.018781155347824097,
0.00713683944195509,
0.013558206148445606,
-0.00656893290579319,
-0.031230378895998,
-0.017269719392061234,
-0.037025708705186844,
-0.00825029332190752,
-0.0016880681505426764,
0.061244454234838486,
-0.02981732040643692,
0.061280228197574615,
-0.013942772522568703,
-0.01322729978710413,
0.0004217375535517931,
0.015668850392103195,
-0.0063721779733896255,
0.005111157428473234,
0.010839410126209259,
-0.0009871285874396563,
0.029763661324977875,
0.00511562917381525,
-0.051335159689188004,
0.035505328327417374,
-0.0310515109449625,
-0.03112305887043476,
-0.020122667774558067,
0.022090217098593712,
-0.01111665554344654,
0.029012413695454597,
-0.017296550795435905,
0.028064412996172905,
-0.009202766232192516,
0.015928208827972412,
0.01074997615069151,
0.002331993542611599,
0.018459193408489227,
-0.013388281688094139,
-0.04224865883588791,
-0.019031571224331856,
-0.015445264987647533,
-0.032303586602211,
0.02996041625738144,
0.028815658763051033,
-0.027062751352787018,
-0.025828560814261436,
0.03389551490545273,
-0.03942254185676575,
-0.02074870653450489,
-0.007959633134305477,
-0.010392239317297935,
-0.005853460170328617,
0.027563583105802536,
0.004583496600389481,
0.07390832155942917,
-0.03788427636027336,
0.05684429779648781,
0.06829185783863068,
-0.05544912815093994,
-0.0022917483001947403,
0.00013394150300882757,
0.01490866020321846,
0.02305610477924347,
0.026293618604540825,
-0.01221669465303421,
0.00241248426027596,
-0.01919255219399929,
0.016590021550655365,
-0.021231649443507195,
-0.023664256557822227,
-0.018781155347824097,
-0.006273800507187843,
-0.007753934245556593,
-0.002171012107282877,
0.00863933190703392,
0.004489590413868427,
0.03255400434136391,
0.043393414467573166,
0.015856660902500153,
0.01212726067751646,
-0.04214133694767952,
-0.00016000315372366458,
0.014103753492236137,
0.0232707466930151,
0.003154787002131343,
-0.008657218888401985,
0.001935129868797958,
-0.0286546777933836,
-0.03292962536215782,
-0.009721484035253525,
0.020551951602101326,
0.02475535310804844,
-0.025667579844594002,
-0.026025315746665,
-0.0604216605424881,
-0.04171205312013626,
0.018655948340892792,
0.029692113399505615,
-0.06804144382476807,
0.04156895726919174,
-0.026186296716332436,
0.001603105803951621,
0.02988886833190918,
-0.01295899786055088,
0.005442063789814711,
-0.030818982049822807,
0.03353777900338173,
-0.00021058930724393576,
0.018512854352593422,
-0.0008909869939088821,
0.00911780446767807,
-0.04564715176820755,
-0.0062559135258197784,
-0.014577754773199558,
0.011912618763744831,
-0.015633076429367065,
-0.003959693945944309,
0.0016958937048912048,
-0.015293227508664131,
-0.015713566914200783,
-0.0017160163260996342,
0.00238118227571249,
-0.011528052389621735,
0.03255400434136391,
0.0027031449135392904,
0.030371813103556633,
-0.0035102874971926212,
0.0034365043975412846,
-0.012234581634402275,
-0.03307272121310234,
0.018745383247733116,
0.012565487995743752,
-0.005303440615534782,
-0.028869319707155228,
0.012118317186832428,
-0.03741921856999397,
-0.018155118450522423,
-0.011760581284761429,
-0.013871225528419018,
-0.00222579063847661,
0.03588095307350159,
-0.0008440340752713382,
-0.0030497019179165363,
-0.012860620394349098,
0.03165966272354126,
-0.005093270447105169,
0.008263709023594856,
-0.029620565474033356,
-0.04314299672842026,
0.031248265877366066,
-0.018423419445753098,
-0.015042811632156372,
0.023342294618487358,
-0.03595249727368355,
-0.002935673575848341,
0.005316855851560831,
0.013066318817436695,
0.01521273609250784,
0.0075571793131530285,
0.005334742832928896,
0.029334377497434616,
-0.003615372581407428,
-0.027026977390050888,
-0.026865996420383453,
-0.04564715176820755,
0.03927944600582123,
-0.0006143003120087087,
0.0005357660120353103,
-0.04232020676136017,
0.017305493354797363,
0.01209148671478033,
-0.0073425378650426865,
0.05956309661269188,
0.014872887171804905,
-0.004163156263530254,
0.026830222457647324,
-0.026955431327223778,
-0.05945577472448349,
0.03303694725036621,
-0.014139527454972267,
-0.01349560171365738,
0.009480011649429798,
-0.026830222457647324,
-0.012100430205464363,
-0.02089180052280426,
0.06979435682296753,
-0.011080882512032986,
0.0041855149902403355,
-0.05237259343266487,
-0.016804663464426994,
-0.05548490211367607,
0.01890636421740055,
-0.029405923560261726,
-0.01642904058098793,
0.0037830614019185305,
0.04460971802473068,
0.025095202028751373,
-0.04253484681248665,
0.020838139578700066,
0.021768255159258842,
-0.008929992094635963,
0.06253230571746826,
-0.020015345886349678,
-0.030711662024259567,
-0.03428902477025986,
-0.012198807671666145,
0.027420487254858017,
-0.018119344487786293,
0.001617638859897852,
-0.027742451056838036,
0.010794692672789097,
-0.03419959172606468,
-0.007525877561420202,
-0.014774509705603123,
0.029906755313277245,
0.03144502267241478,
-0.030836869031190872,
-0.0038657879922538996,
0.012180921621620655,
-0.06027856841683388,
-0.0003616490575950593,
0.028171734884381294,
0.025900108739733696,
-0.04264216870069504,
0.02684810943901539,
0.010615824721753597,
-0.006725442595779896,
0.002298455685377121,
-0.0024348427541553974,
0.07086756080389023,
-0.00488757248967886,
-0.013397224247455597,
0.014398885890841484,
0.027527809143066406,
-0.006962442770600319,
0.006345347501337528,
-0.04951070621609688,
-0.005477837286889553,
0.0025466352235525846,
0.008178746327757835,
0.0023610596545040607,
-0.005339214578270912,
-0.01784209907054901,
0.03466464951634407,
0.006273800507187843,
-0.057953283190727234,
0.04181937500834465,
0.015007037669420242,
0.06296159327030182,
0.013772848062217236
] |
As quantum chemical properties have a dependence on their geometries, graph
neural networks (GNNs) using 3D geometric information have achieved high
prediction accuracy in many tasks. However, they often require 3D geometries
obtained from high-level quantum mechanical calculations, which are practically
infeasible, limiting their applicability to real-world problems. To tackle
this, we propose a new training framework, GeoTMI, that employs denoising
process to predict properties accurately using easy-to-obtain geometries
(corrupted versions of correct geometries, such as those obtained from
low-level calculations). Our starting point was the idea that the correct
geometry is the best description of the target property. Hence, to incorporate
information of the correct, GeoTMI aims to maximize mutual information between
three variables: the correct and the corrupted geometries and the property.
GeoTMI also explicitly updates the corrupted input to approach the correct
geometry as it passes through the GNN layers, contributing to more effective
denoising. We investigated the performance of the proposed method using 3D GNNs
for three prediction tasks: molecular properties, a chemical reaction property,
and relaxed energy in a heterogeneous catalytic system. Our results showed
consistent improvements in accuracy across various tasks, demonstrating the
effectiveness and robustness of GeoTMI. | [
-0.015134640038013458,
-0.015011285431683064,
-0.03484288230538368,
-0.030933495610952377,
0.047064460813999176,
0.03814498707652092,
-0.01336023397743702,
0.028143787756562233,
-0.02524021454155445,
-0.006253120955079794,
-0.005968456622213125,
-0.02969995141029358,
0.03140793740749359,
-0.03330569714307785,
-0.0018645497038960457,
0.040687985718250275,
-0.030421100556850433,
-0.037746455520391464,
-0.010617970488965511,
-0.026587624102830887,
0.041523002088069916,
-0.02730877324938774,
-0.001241847057826817,
0.0028940849006175995,
0.028826981782913208,
0.014963841997087002,
0.06220858916640282,
-0.0009601482306607068,
-0.04406600072979927,
0.07048282772302628,
-0.010257395915687084,
0.010105574503540993,
0.021710380911827087,
-0.04042229801416397,
-0.01642511785030365,
0.013350745663046837,
0.011263208463788033,
0.034653108566999435,
-0.02913062460720539,
0.032831255346536636,
0.015561636537313461,
0.010285861790180206,
0.03495674952864647,
0.027365706861019135,
0.012933238409459591,
-0.0468367300927639,
-0.044331684708595276,
-0.04562216252088547,
0.051770906895399094,
-0.004421782214194536,
-0.0064666192047297955,
0.016026588156819344,
0.03935955464839935,
0.03036416880786419,
-0.04311712086200714,
0.03389400243759155,
0.07541700452566147,
0.057236459106206894,
0.045356474816799164,
0.01604556478559971,
0.02854231745004654,
0.03562096506357193,
-0.07640384137630463,
0.0014328091638162732,
0.030515989288687706,
-0.019252780824899673,
0.029054714366793633,
-0.041560955345630646,
0.03935955464839935,
0.006300564855337143,
-0.07332946360111237,
0.02002137340605259,
-0.020457858219742775,
-0.07579655200242996,
0.025373058393597603,
-0.0018977605504915118,
0.002981856232509017,
0.014565312303602695,
0.010551548562943935,
-0.01295221596956253,
0.03897999972105026,
0.04736810177564621,
-0.00871072057634592,
0.0028063133358955383,
0.03541221097111702,
-0.06900257617235184,
0.029643019661307335,
-0.049341775476932526,
0.024006670340895653,
0.022886991500854492,
-0.056363485753536224,
0.03239477053284645,
-0.041523002088069916,
0.018474698066711426,
0.00693157035857439,
0.015248505398631096,
0.01841776631772518,
0.008596855215728283,
-0.05010087788105011,
0.047557879239320755,
0.0023378038313239813,
-0.05328911542892456,
0.05807147175073624,
0.05731236934661865,
0.00922786071896553,
-0.02635989338159561,
-0.00579291395843029,
0.015466747805476189,
0.04744401201605797,
0.1419524848461151,
0.028105832636356354,
0.006869893055409193,
0.000047073357563931495,
0.04729219153523445,
-0.00891473051160574,
-0.015191572718322277,
-0.09982220083475113,
-0.033495474606752396,
-0.013701830990612507,
-0.049417685717344284,
-0.02651171386241913,
0.03330569714307785,
-0.06748436391353607,
-0.030553944408893585,
-0.04695059359073639,
0.05089793726801872,
-0.028978804126381874,
-0.05207454785704613,
0.005142930895090103,
0.01737399771809578,
-0.034975726157426834,
0.01241135410964489,
0.030838608741760254,
-0.02292494662106037,
0.0008688184898346663,
-0.01243033166974783,
0.02524021454155445,
0.004628163296729326,
-0.020457858219742775,
-0.052188415080308914,
-0.0075008985586464405,
-0.03715815022587776,
-0.03541221097111702,
-0.05473141372203827,
0.0013984122779220343,
0.01758275181055069,
-0.023266544565558434,
0.09230706840753555,
-0.03850556164979935,
-0.003195354249328375,
-0.10559139400720596,
0.03603847324848175,
0.03159771114587784,
0.003748076967895031,
0.014641222544014454,
0.03053496591746807,
-0.01808565855026245,
0.014612755738198757,
-0.02503146044909954,
-0.1000499352812767,
0.050366565585136414,
-0.06429612636566162,
-0.01158582791686058,
0.04448350518941879,
-0.008886263705790043,
0.022108910605311394,
0.04417986422777176,
0.017943326383829117,
-0.01044717151671648,
0.053592756390571594,
0.019262269139289856,
0.03776543587446213,
-0.034558217972517014,
0.028162766247987747,
-0.0395493283867836,
0.007424987852573395,
-0.004957899451255798,
-0.02093229815363884,
0.033495474606752396,
0.025467947125434875,
-0.03277432546019554,
-0.006419174838811159,
0.01617840863764286,
0.039283644407987595,
0.0174973513931036,
0.05662917345762253,
0.017013423144817352,
-0.01940460130572319,
0.03362831473350525,
0.01770610548555851,
0.036759622395038605,
0.02622704952955246,
0.04144708812236786,
-0.0066089509055018425,
0.06767413765192032,
-0.0660800188779831,
-0.03702530637383461,
-0.011842025443911552,
0.00928479339927435,
-0.05602189153432846,
-0.022830059751868248,
-0.016576938331127167,
0.006604206748306751,
0.0064808521419763565,
0.04562216252088547,
0.0284284520894289,
-0.0150587297976017,
0.012847838923335075,
0.012658062390983105,
0.023513253778219223,
0.013123014010488987,
-0.05382048711180687,
-0.048089250922203064,
-0.0818314328789711,
-0.0032949866726994514,
-0.01592221111059189,
0.00893845222890377,
-0.020306037738919258,
-0.0340837799012661,
0.016320740804076195,
0.00695054791867733,
0.008008548989892006,
0.05404822155833244,
0.003245170461013913,
0.007173534948378801,
-0.033818092197179794,
0.012847838923335075,
0.008843564428389072,
-0.032129086554050446,
0.02142571657896042,
0.019433068111538887,
0.04751992225646973,
0.0004258100234437734,
-0.015561636537313461,
-0.03842965140938759,
-0.01071285828948021,
0.02222277596592903,
-0.022317662835121155,
-0.005892546381801367,
0.00891473051160574,
-0.03848658502101898,
0.024481110274791718,
-0.020173193886876106,
-0.049455638974905014,
0.052567966282367706,
-0.0011149343336001039,
-0.027081042528152466,
0.06171517074108124,
0.05336502566933632,
0.0629676952958107,
-0.01646307297050953,
-0.05180886387825012,
0.0179528146982193,
-0.0002284725778736174,
-0.07063464820384979,
0.02440520003437996,
0.005119209177792072,
-0.05328911542892456,
-0.0012821744894608855,
-0.07704907655715942,
0.04603967070579529,
-0.035222433507442474,
0.014204737730324268,
0.03827783092856407,
0.029965639114379883,
0.03148384764790535,
0.03248966112732887,
0.006025389768183231,
-0.012306977063417435,
0.07412652671337128,
-0.01874038577079773,
-0.05249205604195595,
-0.014024450443685055,
0.0043458715081214905,
-0.01812361367046833,
-0.0431930311024189,
-0.005859335418790579,
0.005921012721955776,
0.05188477411866188,
-0.034937772899866104,
0.05131544545292854,
-0.01663387008011341,
0.027574460953474045,
0.006457129959017038,
0.03433048725128174,
-0.03884715959429741,
0.020704567432403564,
0.03829680755734444,
-0.0627020075917244,
-0.04550829902291298,
-0.006219909992069006,
0.03040212392807007,
-0.043914180248975754,
-0.02544896863400936,
0.026530692353844643,
0.00392124755308032,
-0.06456181406974792,
-0.05404822155833244,
0.004269961267709732,
-0.0052520520985126495,
-0.03292614594101906,
0.029339376837015152,
0.0035132290795445442,
0.041143447160720825,
0.012686529196798801,
0.026986153796315193,
0.051163624972105026,
0.03803111985325813,
-0.0005248493980616331,
-0.03803111985325813,
0.010494615882635117,
0.01104496605694294,
-0.01243033166974783,
-0.020780477672815323,
-0.0013094547903165221,
-0.023019835352897644,
0.012107712216675282,
-0.06604206562042236,
-0.04676081985235214,
-0.016197385266423225,
0.0001114934275392443,
-0.022412551566958427,
-0.044331684708595276,
-0.01355001050978899,
-0.014925886876881123,
0.02808685600757599,
-0.02275414951145649,
0.06771209836006165,
-0.008079715073108673,
0.015988633036613464,
-0.022602327167987823,
-0.026910243555903435,
-0.049000177532434464,
0.007443965878337622,
0.02093229815363884,
-0.044407594949007034,
-0.026037273928523064,
-0.0006022424204275012,
-0.06144948676228523,
0.01650102809071541,
-0.009479314088821411,
-0.0162638071924448,
0.00523307453840971,
0.010105574503540993,
0.0012050779769197106,
-0.07044486701488495,
-0.017117800191044807,
0.0026616090908646584,
0.029472220689058304,
0.02474679797887802,
0.0008747489773668349,
-0.006348008755594492,
-0.051694996654987335,
0.062360409647226334,
0.016491539776325226,
-0.032451704144477844,
-0.00261179287917912,
-0.015647035092115402,
0.010598992928862572,
0.04049820825457573,
0.012563174590468407,
-0.06771209836006165,
0.007486665155738592,
0.00899538490921259,
-0.09443256258964539,
0.012610618956387043,
-0.05207454785704613,
0.004369593691080809,
-0.0173360425978899,
-0.008445034734904766,
0.009028595872223377,
0.02134980633854866,
-0.004343499429523945,
0.03205317631363869,
0.006599462125450373,
0.0009382053394801915,
-0.010902633890509605,
0.030174393206834793,
-0.03277432546019554,
0.045660119503736496,
-0.02349427528679371,
0.038695335388183594,
0.04641922190785408,
-0.0098873320966959,
-0.045242611318826675,
0.05374457687139511,
0.03970114886760712,
-0.018882717937231064,
0.014185760170221329,
0.041523002088069916,
-0.036057449877262115,
-0.046684909611940384,
0.006452385801821947,
-0.01791485957801342,
0.0344063974916935,
-0.027650371193885803,
-0.004632907919585705,
-0.007562575861811638,
0.08790426701307297,
0.019679777324199677,
-0.037082239985466,
0.0139200733974576,
-0.04493897035717964,
-0.01981261931359768,
-0.01833236590027809,
0.011889469809830189,
-0.04679877310991287,
-0.06080424785614014,
0.024557020515203476,
-0.030022570863366127,
0.0028063133358955383,
-0.03209112957119942,
0.001957065425813198,
-0.037253040820360184,
0.048962220549583435,
-0.038619425147771835,
-0.045736029744148254,
0.03004154935479164,
0.010020175948739052,
-0.003337686415761709,
0.03290716931223869,
-0.007889939472079277,
-0.02271619439125061,
-0.008340657688677311,
0.029282445088028908,
0.04953154921531677,
0.002965250751003623,
-0.009858866222202778,
0.030231324955821037,
-0.06122175604104996,
0.02019217237830162,
-0.003748076967895031,
0.032375793904066086,
-0.009128227829933167,
-0.03007950447499752,
0.010750813409686089,
0.03656984493136406,
0.004369593691080809,
0.006955292541533709,
0.007553087081760168,
-0.012335443869233131,
-0.004872499965131283,
-0.009455591440200806,
-0.010874168016016483,
-0.0014043428236618638,
-0.0465710423886776,
-0.024519065394997597,
-0.035848695784807205,
-0.005664815194904804,
-0.034064799547195435,
-0.011490940116345882,
0.0075483424589037895,
-0.06444794684648514,
-0.024898618459701538,
0.05799556151032448,
0.027441617101430893,
-0.037537701427936554,
-0.009280049242079258,
0.07526518404483795,
-0.006087067071348429,
-0.002633142750710249,
0.04915199801325798,
-0.04884835705161095,
-0.04224414750933647,
-0.025581812486052513,
0.013806208036839962,
-0.026986153796315193,
0.0032736368011683226,
0.025676699355244637,
0.057691920548677444,
0.038126010447740555,
-0.05617371201515198,
0.023057790473103523,
-0.01721268706023693,
0.036342114210128784,
0.003914130851626396,
-0.023228589445352554,
-0.08608241379261017,
0.011244230903685093,
0.009469824843108654,
0.026132162660360336,
0.008226792328059673,
-0.0002633142867125571,
0.023684050887823105,
-0.04281347617506981,
0.026777401566505432,
0.06065242737531662,
-0.01503975223749876,
0.028637206181883812,
0.009801933541893959,
-0.011082921177148819,
-0.020989231765270233,
0.004006647039204836,
-0.0076622082851827145,
0.0296619962900877,
-0.01948999986052513,
-0.028808005154132843,
0.0079184053465724,
0.04490101337432861,
0.06251223385334015,
0.023323476314544678,
-0.06391657143831253,
-0.049341775476932526,
0.02229868620634079,
0.021254917606711388,
0.009033340029418468,
0.10065721720457077,
0.02958608604967594,
-0.01484997570514679,
-0.035564031451940536,
0.024006670340895653,
0.0331728532910347,
0.0003670980513561517,
-0.017364509403705597,
0.019888529554009438,
0.025885453447699547,
-0.044825103133916855,
-0.04653308913111687,
0.0006410872447304428,
0.03628518059849739,
0.03842965140938759,
0.02524021454155445,
0.022146865725517273,
0.02825765497982502,
-0.0504804290831089,
0.036968376487493515,
0.004307916387915611,
-0.012677039951086044,
0.03338160738348961,
0.0036342113744467497,
-0.02457599900662899,
0.00866802129894495,
-0.004523786716163158,
-0.023399386554956436,
-0.021046163514256477,
-0.009839888662099838,
-0.000731823907699436,
-0.022526416927576065,
-0.045242611318826675,
-0.030933495610952377,
-0.017981281504034996,
0.010276373475790024,
-0.01100701093673706,
0.005085998214781284,
0.029529154300689697,
0.020628657191991806,
0.03154078125953674,
-0.030136436223983765,
-0.003050650004297495,
0.01621636375784874,
0.008003804832696915,
0.00862532202154398,
0.032793302088975906,
0.011747137643396854,
0.0032949866726994514,
-0.04486306011676788,
-0.04057411849498749,
-0.03996683657169342,
0.0031929821707308292,
-0.017478374764323235,
0.03229988366365433,
0.02689126692712307,
-0.01886373944580555,
0.0014517868403345346,
-0.003937853034585714,
-0.007956361398100853,
0.020818432793021202,
0.008838819339871407,
0.018237479031085968,
-0.01866447553038597,
-0.005731236655265093,
-0.035810742527246475,
-0.05146726593375206,
0.01013404130935669,
0.04550829902291298,
-0.004324521869421005,
0.0025192771572619677,
-0.0035108570009469986,
0.029756885021924973,
0.017487863078713417,
-0.008800864219665527,
-0.04057411849498749,
0.030459055677056313,
0.025600789114832878,
-0.017317064106464386,
-0.03524141386151314,
-0.02808685600757599,
-0.08069277554750443,
-0.027574460953474045,
-0.01928124763071537,
-0.0006654022727161646,
0.04911404103040695,
0.02106514200568199,
-0.011699693277478218,
-0.007524620275944471,
-0.0019072493305429816,
0.0006986131193116307,
0.013701830990612507,
0.09223116189241409,
-0.038790225982666016,
0.0027588694356381893,
0.016984956339001656,
0.005660070572048426,
0.016111986711621284,
-0.005607882514595985,
0.010959566570818424,
0.015590102411806583,
0.02983279526233673,
-0.002097025280818343,
0.005550949368625879,
-0.00784249510616064,
0.03148384764790535,
0.02858027257025242,
-0.016899557784199715,
0.04368644580245018,
-0.0035061126109212637,
-0.049417685717344284,
0.013066081330180168,
-0.022355619817972183,
-0.04717832803726196,
0.044331684708595276,
-0.0450148805975914,
0.03507061302661896,
-0.013796718791127205,
0.0191578920930624,
0.00723046762868762,
0.0016652848571538925,
-0.004478714894503355,
-0.038866136223077774,
-0.0013711319770663977,
-0.03835374116897583,
-0.02279210463166237,
-0.08038913458585739,
0.017260132357478142,
0.029149601235985756,
0.004262844566255808,
-0.002194285625591874,
0.03169260174036026,
0.041598912328481674,
0.021729357540607452,
-0.02184322290122509,
-0.00017910114547703415,
-0.03723406046628952,
0.014992307871580124,
0.006314798258244991,
0.04873448982834816,
-0.014337580651044846,
0.019907508045434952,
0.01770610548555851,
0.05423799529671669,
-0.026986153796315193,
-0.01191793568432331,
0.017819970846176147,
0.05712259188294411,
-0.014897420071065426,
-0.0049958545714616776,
0.010580015368759632,
-0.027479572221636772,
0.02755548246204853,
0.019888529554009438,
0.027232863008975983,
0.017696617171168327,
0.012050779536366463,
-0.03186339884996414,
0.04733014851808548,
-0.028845960274338722,
0.007045435719192028,
-0.011785092763602734,
-0.010627458803355694,
0.027954012155532837,
0.03501368314027786,
-0.008293213322758675,
-0.02296290174126625,
0.03854351490736008,
0.047481968998909,
-0.02436724491417408,
-0.004730168264359236,
0.020761501044034958,
0.01596965454518795,
0.008539922535419464,
-0.0025714654475450516,
-0.015115662477910519,
-0.044331684708595276,
0.030136436223983765,
-0.021368782967329025,
-0.0022856153082102537,
-0.014679177664220333,
0.003287870204076171,
0.01898709312081337,
0.026948198676109314,
0.02945324406027794,
-0.04102958366274834,
0.0034135966561734676,
0.017573261633515358,
-0.02110309712588787,
0.009384425356984138,
0.00431266101077199,
-0.006053856108337641,
0.02436724491417408,
-0.03391297906637192,
-0.05921012908220291,
-0.0037030051462352276,
-0.0017720338655635715,
0.02692922204732895,
0.011879980564117432,
0.05788169428706169,
0.01069388072937727,
-0.002825290895998478,
0.03169260174036026,
0.001662912662141025,
0.011500428430736065,
-0.011196787469089031,
-0.00005911968764849007,
0.008701232261955738,
-0.017241153866052628,
0.012344932183623314,
-0.02005932852625847,
-0.01540981512516737,
-0.03188237547874451,
0.023778939619660378,
-0.022886991500854492,
-0.004324521869421005,
0.03594358265399933,
-0.07640384137630463,
-0.005356429144740105,
0.001429250929504633,
0.03015541471540928,
0.006077578291296959,
-0.005859335418790579,
0.0017684756312519312,
0.024727819487452507,
-0.05621166527271271,
-0.02801094576716423,
0.02089434303343296,
-0.0003727320290636271,
-0.0004889698466286063,
0.02233664132654667,
0.033191829919815063,
0.007738118525594473,
-0.023323476314544678,
0.03516550362110138,
-0.018047703430056572,
-0.000863481021951884,
0.011671227402985096,
-0.004549880977720022,
0.03759463503956795,
0.0022998484782874584,
0.02651171386241913,
0.0037789156194776297,
0.027783213183283806,
0.02973790653049946,
-0.027688326314091682,
0.0031834933906793594,
-0.05063224956393242,
-0.019603867083787918,
-0.0011007010471075773,
0.0270620658993721,
-0.04869653657078743,
0.0006778563256375492,
-0.046153534203767776,
0.00928479339927435,
-0.003916503395885229,
-0.008862541988492012,
0.0168805792927742,
0.02916857972741127,
-0.009792444296181202,
-0.04596376046538353,
0.00023959226382430643,
-0.0011155273532494903,
-0.03734792768955231,
0.012240555137395859,
0.014071893878281116,
0.05336502566933632,
-0.04087776318192482,
0.03505163639783859,
0.004972132388502359,
0.006884126458317041,
0.0029320400208234787,
-0.02341836504638195,
0.013967517763376236,
-0.021786291152238846,
0.020951276645064354,
-0.008891007862985134,
0.01849367655813694,
0.02821969985961914,
0.014356558211147785,
0.006613695528358221,
-0.030648833140730858,
-0.040194567292928696,
-0.0061914436519145966,
0.013208413496613503,
-0.05977945774793625,
0.028200721368193626,
-0.007856728509068489,
0.027498550713062286,
0.037917256355285645,
0.009726022370159626,
0.021976066753268242,
0.034444354474544525,
-0.011946402490139008,
0.0008219675510190427,
0.0026995644439011812,
0.05325115844607353,
0.014669688418507576,
-0.032167039811611176,
-0.03387502580881119,
-0.045660119503736496,
-0.01365438662469387,
0.010228929109871387,
-0.004552253056317568,
0.03453924134373665,
0.013274834491312504,
0.031502824276685715,
0.008407078683376312,
0.033704228699207306,
-0.0005414548213593662,
-0.026283983141183853,
-0.017430931329727173,
0.02222277596592903,
-0.01334125641733408,
0.004369593691080809,
0.0014031566679477692,
-0.027707302942872047,
0.01425218116492033,
-0.021729357540607452,
0.019385624676942825,
0.04994905740022659,
-0.0024018532130867243,
0.06163926050066948,
-0.007942127995193005,
0.003100466215983033,
0.011225253343582153,
-0.04467328265309334,
0.013398189097642899,
-0.06300564855337143,
0.026283983141183853,
-0.030497010797262192,
0.02878902666270733,
-0.010874168016016483,
-0.01486895326524973,
-0.03372320532798767,
-0.017449907958507538,
-0.046115580946207047,
-0.006575740408152342,
-0.0225074402987957,
0.03529834747314453,
0.02685331180691719,
-0.021406738087534904,
0.02072354406118393,
0.021160030737519264,
-0.005014832131564617,
0.015561636537313461,
0.012269021943211555,
0.031180204823613167,
0.017468886449933052,
-0.012771928682923317,
-0.016681315377354622,
-0.0007075088215060532,
0.01700393483042717,
-0.03744281455874443,
0.028826981782913208,
-0.001769661670550704,
0.004851150326430798,
0.0045380196534097195,
0.02419644594192505,
-0.009109250269830227,
-0.030497010797262192,
-0.05549051612615585,
-0.02892187051475048,
-0.033362630754709244,
-0.03379911556839943,
-0.020457858219742775,
-0.027422640472650528,
0.02117900736629963,
0.006053856108337641,
0.03717712685465813,
-0.013625920750200748,
0.021008208394050598,
-0.0116427605971694,
-0.02138776145875454,
0.008037015795707703,
0.014555823057889938,
0.04630535840988159,
0.005645837634801865,
0.02453804388642311,
0.01592221111059189,
-0.04038434475660324,
-0.011785092763602734,
-0.022393574938178062,
-0.027479572221636772,
-0.0061439997516572475,
-0.01356898806989193,
-0.06281587481498718,
-0.002054325770586729,
0.005992178805172443,
0.018379811197519302,
-0.02825765497982502,
-0.046684909611940384,
0.0007662207935936749,
0.035810742527246475,
0.003555928822606802,
-0.06611797958612442,
-0.02618909440934658,
0.008203069679439068,
0.010456660762429237,
-0.032660458236932755,
-0.015134640038013458,
-0.0422821044921875,
0.014641222544014454,
0.041560955345630646,
-0.02569567784667015,
-0.016766713932156563,
-0.008696487173438072,
0.005128697957843542,
-0.03537425771355629,
0.015115662477910519,
0.015694480389356613,
0.011130365543067455,
0.009398658759891987,
0.016111986711621284,
-0.004827428143471479,
0.009422381408512592,
-0.010304839350283146,
0.027232863008975983,
-0.016567450016736984,
-0.016434606164693832,
-0.04399009048938751,
0.04186459630727768,
0.0060633448883891106,
0.003802637569606304,
-0.003679283196106553,
0.0009121111361309886,
0.012136178091168404,
0.04922790825366974,
0.06376475095748901,
-0.03322978690266609,
-0.012572663836181164,
-0.023323476314544678,
0.01750684157013893,
-0.008032271638512611,
-0.007638486102223396,
-0.005370662081986666,
0.01584630087018013,
0.03334365412592888,
0.01369234174489975,
0.00024626406957395375,
0.053137294948101044,
0.02920653484761715,
-0.007202001288533211,
0.009811421856284142,
-0.005451316945254803,
-0.0010983288520947099,
0.018360832706093788,
0.005437084008008242,
-0.004687468521296978,
0.027194907888770103,
-0.009877843782305717,
-0.00026509343297220767,
0.009455591440200806,
0.03996683657169342,
-0.010788768529891968,
0.035526078194379807,
-0.023722006008028984,
-0.0383157841861248,
-0.01356898806989193,
0.004632907919585705,
-0.05002496764063835,
-0.02945324406027794,
-0.02208993211388588,
-0.018057191744446754,
-0.011301163583993912,
0.01588425599038601,
0.06551069021224976,
-0.004369593691080809,
0.0010046269744634628,
-0.027232863008975983,
0.03615233674645424,
-0.03727201744914055,
0.020704567432403564,
0.05044247582554817,
0.07856728881597519,
0.022279707714915276,
0.04087776318192482,
0.009123483672738075,
-0.012629596516489983,
-0.01651051640510559,
0.0013450377155095339,
0.0006090624956414104,
-0.0766315683722496,
-0.017468886449933052,
0.005299496464431286,
-0.03396991267800331,
0.007377543952316046,
0.001213973737321794,
-0.031711578369140625,
0.019176870584487915,
-0.005456061568111181,
-0.01237339898943901,
-0.016168920323252678,
0.011993846856057644,
-0.007325355429202318,
-0.05480732396245003,
0.008962173946201801,
0.03744281455874443,
0.026265006512403488,
-0.014195248484611511,
0.03951137512922287,
0.017364509403705597,
-0.025581812486052513,
0.07659361511468887,
-0.01725064404308796,
-0.029073690995573997,
0.009858866222202778,
-0.014916397631168365,
-0.03368524834513664,
-0.024253379553556442,
-0.051694996654987335,
-0.0035369512625038624,
0.00166765705216676,
-0.009588435292243958,
0.029984615743160248,
-0.049835190176963806,
-0.03759463503956795,
0.00807022675871849
] |
MANET is a collection of mobile nodes that communicate through wireless
networks as they move from one point to another. MANET is an
infrastructure-less network with a changeable topology; as a result, it is very
susceptible to attacks. MANET attack prevention represents a serious
difficulty. Malicious network nodes are the source of network-based attacks. In
a MANET, attacks can take various forms, and each one alters the network's
operation in its unique way. In general, attacks can be separated into two
categories: those that target the data traffic on a network and those that
target the control traffic. This article explains the many sorts of assaults,
their impact on MANET, and the MANET-based defence measures that are currently
in place. The suggested SRA that employs blockchain technology (SRABC) protects
MANET from attacks and authenticates nodes. The secure routing algorithm (SRA)
proposed by blockchain technology safeguards control and data flow against
threats. This is achieved by generating a Hash Function for every transaction.
We will begin by discussing the security of the MANET. This article's second
section explores the role of blockchain in MANET security. In the third
section, the SRA is described in connection with blockchain. In the fourth
phase, PDR and Throughput are utilised to conduct an SRA review using
Blockchain employing PDR and Throughput. The results suggest that the proposed
technique enhances MANET security while concurrently decreasing delay. The
performance of the proposed technique is analysed and compared to the routing
protocols Q-AODV and DSR. | [
-0.03341249004006386,
-0.0063638645224273205,
-0.020579136908054352,
-0.029962096363306046,
0.05858628451824188,
0.01992778666317463,
-0.026511700823903084,
-0.0031511252745985985,
-0.02980365976691246,
0.0006238435744307935,
0.04777739569544792,
-0.019646121188998222,
-0.019276436418294907,
-0.011706694029271603,
-0.017568843439221382,
0.06277604401111603,
0.03858808055520058,
-0.057776495814323425,
-0.01427688542753458,
-0.02668774127960205,
-0.025578686967492104,
-0.010553629137575626,
-0.03770787641406059,
0.010861699469387531,
-0.024064738303422928,
0.01640697568655014,
0.0023237348068505526,
0.006509098224341869,
-0.07485242933034897,
0.07513409107923508,
-0.004801505245268345,
0.003133521182462573,
-0.0369332991540432,
-0.01604609377682209,
-0.004871921148151159,
0.016292549669742584,
0.0207727812230587,
0.040031611919403076,
-0.00955019798129797,
0.01763925887644291,
0.019646121188998222,
-0.005439652130007744,
-0.04351721704006195,
0.020931217819452286,
0.0062142303213477135,
0.01562359556555748,
-0.058621492236852646,
-0.031828124076128006,
-0.029750846326351166,
0.014972245320677757,
-0.005378037691116333,
-0.044080544263124466,
-0.01697910763323307,
-0.003954309970140457,
-0.05397402122616768,
0.04650990292429924,
0.0720357820391655,
0.004053332842886448,
-0.005897357128560543,
-0.011856328696012497,
0.027691172435879707,
0.032268226146698,
0.045629702508449554,
-0.0015953672118484974,
-0.0195228923112154,
-0.006869981065392494,
0.031423233449459076,
-0.043552424758672714,
0.03290197253227234,
-0.02283245511353016,
-0.08717526495456696,
0.06316334009170532,
-0.016398174688220024,
-0.03813037648797035,
-0.02179381623864174,
-0.02929314225912094,
-0.006051392760127783,
0.0537627749145031,
0.027532735839486122,
0.012692521326243877,
-0.007433310616761446,
0.020174242556095123,
-0.027022218331694603,
-0.04059494286775589,
0.05390360578894615,
-0.0022973287850618362,
0.0243816114962101,
-0.07513409107923508,
0.07351452112197876,
-0.015905261039733887,
-0.06524061411619186,
0.040735773742198944,
0.003401982830837369,
-0.011213780380785465,
0.015447555109858513,
0.027039822190999985,
0.048622388392686844,
-0.004125949461013079,
-0.037320587784051895,
0.001972754020243883,
-0.04401012882590294,
0.010087121278047562,
0.011460237205028534,
0.038975369185209274,
0.043658047914505005,
-0.05545276030898094,
0.0002241765905637294,
0.04879843071103096,
-0.020279867574572563,
0.11949630081653595,
-0.0007366195204667747,
-0.007719376590102911,
0.004524241201579571,
0.0891469195485115,
-0.028307314962148666,
-0.036722052842378616,
-0.014188865199685097,
-0.035771433264017105,
-0.008617183193564415,
0.012446064502000809,
-0.054889433085918427,
0.01271892711520195,
-0.04643948748707771,
-0.011565862223505974,
-0.026142016053199768,
-0.009145304560661316,
-0.0006375967641361058,
-0.012692521326243877,
-0.015711616724729538,
-0.01962851732969284,
-0.04358763247728348,
-0.01265731267631054,
0.009532594121992588,
-0.03749663010239601,
0.029944490641355515,
0.04527762159705162,
-0.021741002798080444,
0.061086058616638184,
-0.025701915845274925,
-0.035560183227062225,
0.020579136908054352,
-0.05302340164780617,
-0.028272107243537903,
0.024223174899816513,
0.03063105046749115,
0.034099046140909195,
0.02293807826936245,
0.03450394049286842,
-0.10132891684770584,
0.018449045717716217,
-0.0021047843620181084,
0.03232103958725929,
0.04063015058636665,
-0.012850957922637463,
0.0041325511410832405,
0.007217661011964083,
-0.0017934127245098352,
-0.02209308370947838,
-0.005571682471781969,
-0.0064914938993752,
0.03084229864180088,
-0.07027537375688553,
0.018554670736193657,
0.02189943939447403,
0.007534534204751253,
-0.01292137335985899,
0.013440693728625774,
0.021547358483076096,
-0.061191681772470474,
0.05006592348217964,
-0.06668414920568466,
-0.013370277360081673,
-0.04341159015893936,
-0.010923313908278942,
0.029944490641355515,
-0.012886165641248226,
0.007917421869933605,
-0.023219743743538857,
-0.0035780235193669796,
0.0035164093133062124,
-0.029152309522032738,
0.009911080822348595,
0.015262712724506855,
0.00949738547205925,
-0.004889525473117828,
0.029451578855514526,
0.03309561684727669,
0.003822279628366232,
0.028624188154935837,
-0.00445162458345294,
-0.01510427612811327,
0.018959563225507736,
0.04665073752403259,
0.030261363834142685,
0.03416946530342102,
-0.005919362418353558,
-0.04612261429429054,
-0.03564820438623428,
0.05429089441895485,
-0.056121714413166046,
-0.01765686273574829,
-0.015324327163398266,
0.005157987121492624,
-0.004273383412510157,
0.04679156839847565,
-0.027867212891578674,
0.02418796718120575,
-0.023589428514242172,
0.03508487343788147,
0.016759056597948074,
-0.06351541727781296,
-0.021248091012239456,
-0.007226462941616774,
0.022550789639353752,
0.0021796016953885555,
-0.0012003763113170862,
-0.014734591357409954,
-0.03686288371682167,
0.00442521832883358,
0.027391904965043068,
0.056227341294288635,
-0.013106216676533222,
-0.02003340981900692,
-0.0058357431553304195,
-0.04601699113845825,
-0.017964934930205345,
-0.03446873277425766,
0.032127395272254944,
-0.05312902852892876,
0.0002602098975330591,
-0.010412796400487423,
0.0376022532582283,
-0.005395641550421715,
0.01598447933793068,
-0.04066535830497742,
-0.018748315051198006,
-0.024733692407608032,
0.010958521626889706,
0.03554258123040199,
0.0002588345669209957,
-0.07302160561084747,
0.03589466214179993,
-0.056861087679862976,
-0.048833638429641724,
0.032761137932538986,
0.05689629539847374,
-0.050101131200790405,
0.08379528671503067,
-0.022462770342826843,
0.0014138254337012768,
0.005703712813556194,
-0.005017154850065708,
-0.00677315890789032,
0.041580770164728165,
-0.031229587271809578,
-0.020825592800974846,
-0.015086672268807888,
-0.026599721983075142,
0.0202446598559618,
-0.017736081033945084,
0.015526773408055305,
-0.017524832859635353,
-0.011970754712820053,
0.030455008149147034,
0.018871543928980827,
0.014937037602066994,
0.044925540685653687,
0.027655964717268944,
0.029521994292736053,
0.0021696994081139565,
-0.00038893951568752527,
-0.07358493655920029,
-0.016186924651265144,
0.036898091435432434,
0.006777559872716665,
-0.016715046018362045,
0.040735773742198944,
0.027884816750884056,
0.014937037602066994,
0.007798594888299704,
0.01562359556555748,
-0.07661283016204834,
0.0022522183135151863,
-0.03883453831076622,
-0.004330596886575222,
-0.0276031531393528,
-0.07759866118431091,
0.009048482403159142,
-0.026318056508898735,
-0.001106304582208395,
-0.04735489934682846,
0.030067719519138336,
0.026511700823903084,
-0.03591226413846016,
0.06488853693008423,
0.030296573415398598,
-0.0013643139973282814,
-0.002735229441896081,
0.011292998678982258,
-0.024117549881339073,
-0.019663725048303604,
-0.03478560596704483,
-0.02408234216272831,
0.02821929380297661,
-0.02874741517007351,
0.0003886644553858787,
-0.0315464586019516,
0.025385042652487755,
-0.008612781763076782,
-0.0738665983080864,
0.020279867574572563,
-0.04446783289313316,
-0.020297471433877945,
-0.041158273816108704,
-0.003338168142363429,
-0.004942337516695261,
0.012314033694565296,
-0.035049665719270706,
-0.008027447387576103,
-0.00755653902888298,
0.04577053338289261,
0.027180654928088188,
-0.013968815095722675,
0.02170579507946968,
-0.022867662832140923,
-0.058198995888233185,
-0.007653361186385155,
0.009224522858858109,
-0.07738740742206573,
0.007186853792518377,
-0.05707233399152756,
0.014338499866425991,
0.018748315051198006,
-0.03932745009660721,
-0.03218020498752594,
-0.039714738726615906,
0.00047640965203754604,
0.03946828469634056,
-0.010835293680429459,
0.05348110944032669,
-0.026194829493761063,
-0.06421957910060883,
0.03395821526646614,
0.009955091401934624,
-0.041475147008895874,
-0.013590327464044094,
-0.07245827466249466,
-0.001279594493098557,
-0.006592717487365007,
0.0022423160262405872,
0.0010111327283084393,
0.01058883685618639,
-0.007332087494432926,
-0.008225493133068085,
0.03989078104496002,
0.03093031793832779,
-0.02459285967051983,
-0.0569315031170845,
-0.03564820438623428,
-0.02045590803027153,
0.01226122211664915,
-0.022181104868650436,
0.015209900215268135,
-0.0033689753618091345,
0.003710053861141205,
-0.014884225092828274,
-0.05161507800221443,
0.018413837999105453,
-0.011557059362530708,
0.020702363923192024,
-0.034099046140909195,
0.006289047189056873,
0.038869746029376984,
-0.05221361666917801,
-0.008683198131620884,
0.017049523070454597,
0.06393791735172272,
0.0042161704041063786,
-0.007305681239813566,
0.02999730408191681,
0.02480410784482956,
0.049889881163835526,
0.000776228669565171,
0.008573172613978386,
-0.012014765292406082,
0.02170579507946968,
0.06358583271503448,
-0.007094432599842548,
-0.01837863028049469,
0.09661103785037994,
0.01535953488200903,
0.010932115837931633,
-0.014039231464266777,
0.01708473265171051,
0.051439039409160614,
-0.06788121908903122,
-0.020086223259568214,
-0.018026549369096756,
0.024909732863307,
-0.0383768305182457,
-0.0055496771819889545,
0.003886094316840172,
0.03360613435506821,
0.041897643357515335,
0.00820348784327507,
-0.005589286331087351,
-0.02897626906633377,
-0.0544317252933979,
0.007961432449519634,
-0.046157822012901306,
-0.024628067389130592,
-0.002609800547361374,
-0.0050303577445447445,
-0.009268533438444138,
0.011970754712820053,
0.03739100694656372,
-0.04379887878894806,
0.02107204869389534,
0.013942408375442028,
0.001331306411884725,
-0.03777829557657242,
-0.008344320580363274,
0.055487971752882004,
-0.03177531436085701,
0.0005399492802098393,
0.024733692407608032,
-0.035243310034275055,
-0.07006412744522095,
-0.006429879926145077,
0.061825428158044815,
0.04890405386686325,
0.001318103400990367,
0.005087570752948523,
-0.034820813685655594,
-0.00021124861086718738,
-0.05988898128271103,
-0.014937037602066994,
-0.018625086173415184,
-0.031176775693893433,
0.012093983590602875,
-0.002796843647956848,
-0.005329626612365246,
-0.016336560249328613,
0.02948678657412529,
-0.05429089441895485,
-0.021107258275151253,
0.00794822908937931,
-0.02925793267786503,
-0.05700191855430603,
-0.036898091435432434,
-0.030789485201239586,
-0.000997379538603127,
-0.013863190077245235,
0.037989541888237,
0.054361309856176376,
-0.0365460105240345,
-0.009426969103515148,
-0.030067719519138336,
0.025385042652487755,
0.029011476784944534,
0.030543029308319092,
0.044784706085920334,
-0.009418167173862457,
-0.0301029272377491,
0.006240636110305786,
0.014338499866425991,
-0.01962851732969284,
-0.015650002285838127,
0.011257790960371494,
-0.0419328510761261,
0.05172070488333702,
-0.0408766083419323,
0.060276273638010025,
-0.0239943228662014,
-0.00011408250429667532,
-0.014083241112530231,
0.0011662683682516217,
-0.07534533739089966,
0.013000591658055782,
0.0059017580933868885,
-0.030807090923190117,
0.045840948820114136,
-0.03622913733124733,
0.031071150675415993,
-0.02086080051958561,
-0.01660062000155449,
-0.023853490129113197,
-0.03247947618365288,
-0.06372666358947754,
-0.04172160103917122,
0.020385490730404854,
-0.09132982045412064,
-0.026969406753778458,
-0.006834772881120443,
-0.008155076764523983,
-0.007147245109081268,
0.017058325931429863,
0.041052646934986115,
0.033676549792289734,
0.057177960872650146,
-0.01776248775422573,
-0.0011354612652212381,
0.054783809930086136,
0.01982216164469719,
-0.012472470290958881,
0.0024381610564887524,
0.018449045717716217,
0.018325816839933395,
0.014479332603514194,
0.007499326020479202,
-0.018237797543406487,
0.04034848511219025,
-0.06073397770524025,
0.007270473055541515,
0.004445022903382778,
0.005413245875388384,
0.0027330289594829082,
-0.019258832558989525,
0.0021025838796049356,
0.05214320123195648,
0.017718477174639702,
0.014188865199685097,
-0.027585549280047417,
-0.014056835323572159,
-0.01901237480342388,
-0.01950528845191002,
0.040735773742198944,
0.04133431240916252,
-0.0658743605017662,
-0.031828124076128006,
-0.0558752603828907,
0.05077008530497551,
-0.009629416279494762,
0.030296573415398598,
-0.02512098103761673,
-0.0003234744362998754,
0.013449495658278465,
0.04559449478983879,
-0.07207098603248596,
0.017269574105739594,
0.016530204564332962,
0.04467908293008804,
-0.016776660457253456,
0.013264652341604233,
-0.026722950860857964,
0.010395192541182041,
0.03767266869544983,
0.0023875494953244925,
0.009999101050198078,
-0.026406077668070793,
-0.016908692196011543,
-0.018765918910503387,
-0.04309471696615219,
-0.0017086932202801108,
-0.01712874136865139,
0.028078462928533554,
0.02925793267786503,
0.0001088563003577292,
-0.009937486611306667,
0.003498805221170187,
-0.00980545673519373,
-0.013625536113977432,
0.057353999465703964,
-0.027585549280047417,
0.009708634577691555,
-0.0062802452594041824,
-0.0157732293009758,
0.02005101554095745,
0.01638937182724476,
-0.003206137800589204,
0.012472470290958881,
-0.028782624751329422,
-0.03189853951334953,
0.02295568399131298,
0.010219152085483074,
-0.01738400012254715,
0.04129910469055176,
0.0383768305182457,
-0.032866764813661575,
-0.003980716224759817,
-0.014312094077467918,
-0.021723398938775063,
-0.0021311903838068247,
-0.004092941991984844,
0.03989078104496002,
0.05253048986196518,
0.004165558610111475,
-0.012701323255896568,
0.006434280890971422,
-0.01198835950344801,
0.004068736452609301,
0.02658211812376976,
0.015148286707699299,
-0.015192296355962753,
0.05348110944032669,
-0.016142915934324265,
-0.008608381263911724,
-0.012049973011016846,
0.04108785465359688,
-0.001096402294933796,
-0.0101223299279809,
0.045735325664281845,
-0.006742351688444614,
0.03186333179473877,
0.018202589824795723,
-0.0037408608477562666,
0.032144997268915176,
0.013933606445789337,
-0.03809516876935959,
-0.03436310961842537,
0.020174242556095123,
-0.03626434504985809,
0.01265731267631054,
-0.018026549369096756,
-0.008454346098005772,
-0.037637460976839066,
0.04756614565849304,
-0.019452476873993874,
-0.0263532642275095,
-0.009356553666293621,
0.07119078189134598,
-0.004385609179735184,
0.026846177875995636,
0.0184666495770216,
-0.05309382081031799,
-0.042003266513347626,
0.0053164237178862095,
0.014752195216715336,
-0.017771290615200996,
0.008493955247104168,
-0.02179381623864174,
-0.004229373298585415,
0.007732579484581947,
0.01685587875545025,
0.003126919735223055,
-0.007239666301757097,
-0.023536616936326027,
-0.012824551202356815,
-0.015614793635904789,
-0.008423538878560066,
0.014690580777823925,
0.04869280755519867,
0.023008495569229126,
0.052671320736408234,
-0.017348792403936386,
0.03749663010239601,
-0.04249618202447891,
0.006922793108969927,
0.0369332991540432,
0.019258832558989525,
-0.0026164022274315357,
-0.012085181660950184,
-0.003507607150822878,
0.009787852875888348,
0.019153207540512085,
-0.04517199471592903,
0.003122518537566066,
0.042003266513347626,
-0.011926745064556599,
-0.009180513210594654,
0.0019067388493567705,
-0.03267312049865723,
-0.05812857672572136,
0.01837863028049469,
0.002075077500194311,
-0.014056835323572159,
0.021547358483076096,
0.025261813774704933,
0.022814851254224777,
0.02925793267786503,
-0.03517289459705353,
-0.030384592711925507,
-0.02677576243877411,
0.03423988074064255,
-0.010474410839378834,
-0.005303220357745886,
-0.007433310616761446,
0.02804325334727764,
-0.032338641583919525,
-0.039820365607738495,
0.012446064502000809,
0.006311052478849888,
-0.08872441947460175,
0.057248376309871674,
-0.021670587360858917,
-0.02793763019144535,
-0.0738665983080864,
-0.03841204196214676,
-0.00625383947044611,
-0.04774218797683716,
0.005413245875388384,
0.006632326170802116,
0.013880794867873192,
-0.005017154850065708,
0.03499685600399971,
-0.006922793108969927,
0.027286279946565628,
-0.03309561684727669,
-0.03749663010239601,
-0.041475147008895874,
0.0027528335340321064,
-0.017938528209924698,
-0.05855107679963112,
-0.010782481171190739,
-0.05422047898173332,
0.015253910794854164,
-0.009048482403159142,
-0.03020855225622654,
0.031423233449459076,
-0.005448454059660435,
-0.0138015765696764,
0.023290159180760384,
-0.024733692407608032,
0.04538324475288391,
0.05098133161664009,
0.02212829329073429,
0.021318506449460983,
-0.012111587449908257,
-0.05013633891940117,
0.024364007636904716,
0.009171710349619389,
-0.001982656307518482,
0.04650990292429924,
0.009206918999552727,
0.015253910794854164,
-0.006887584924697876,
-0.025719519704580307,
-0.05710754171013832,
-0.035665810108184814,
-0.009673425927758217,
0.012182003818452358,
-0.017049523070454597,
-0.028905851766467094,
0.012991789728403091,
-0.028483355417847633,
0.007965832948684692,
0.028078462928533554,
-0.019751746207475662,
0.012938978150486946,
0.04922092705965042,
0.02200506441295147,
-0.015121879987418652,
-0.018290609121322632,
-0.017146345227956772,
0.01763925887644291,
0.007728178519755602,
0.0017141945427283645,
0.0076049501076340675,
-0.06978245824575424,
-0.0018231195863336325,
-0.02212829329073429,
-0.018114568665623665,
0.044995956122875214,
-0.08034489303827286,
-0.007182452827692032,
0.00985826924443245,
0.039292242377996445,
0.019065188243985176,
0.0016811869572848082,
0.015473960898816586,
0.004385609179735184,
0.060381896793842316,
-0.029944490641355515,
0.026599721983075142,
0.03531372547149658,
-0.04256659746170044,
-0.01079128310084343,
0.007754584774374962,
0.012358044274151325,
0.022867662832140923,
-0.029310746118426323,
0.043341174721717834,
0.01839623413980007,
-0.017551239579916,
-0.024839317426085472,
0.025561083108186722,
-0.008599579334259033,
-0.06076918542385101,
0.04348200559616089,
0.0013203038834035397,
-0.029733242467045784,
0.05471339076757431,
0.001735099358484149,
0.049995504319667816,
-0.0195228923112154,
0.003302960190922022,
-0.012014765292406082,
-0.028289711102843285,
-0.01785050891339779,
0.00034272889024578035,
0.029838867485523224,
0.025455458089709282,
0.03383498638868332,
-0.009655822068452835,
0.02721586264669895,
0.003716655308380723,
-0.005329626612365246,
0.06636727601289749,
-0.04175680875778198,
0.007472919765859842,
0.0166622344404459,
-0.0014996451791375875,
-0.017516031861305237,
0.0195228923112154,
-0.03911620378494263,
-0.02005101554095745,
-0.01581723988056183,
-0.03594747185707092,
-0.05189674347639084,
0.005523270927369595,
0.0019650522153824568,
0.024575255811214447,
-0.02223391644656658,
0.04464387521147728,
-0.05172070488333702,
0.05288257077336311,
0.059748150408267975,
0.0014424319379031658,
-0.00033942810841836035,
-0.0017967134481295943,
-0.0007069127168506384,
-0.018132172524929047,
-0.04418616741895676,
0.017181554809212685,
-0.015975676476955414,
0.006724747829139233,
0.07435951381921768,
0.011504247784614563,
-0.00542644876986742,
0.04679156839847565,
0.020948821678757668,
0.011002532206475735,
-0.012419658713042736,
0.04485512152314186,
-0.04249618202447891,
0.0037122543435543776,
0.015341931022703648,
0.02564910240471363,
0.011381018906831741,
-0.02564910240471363,
0.0067995646968483925,
0.06024106591939926,
0.004315193276852369,
-0.030155740678310394,
-0.07738740742206573,
0.0029266735073179007,
0.01867789775133133,
-0.01438251044601202,
0.019047584384679794,
-0.021107258275151253,
-0.019575705751776695,
0.009919882752001286,
0.009391761384904385,
0.050206754356622696,
-0.00518879434093833,
0.006966803222894669,
-0.02013903483748436,
-0.018202589824795723,
0.009215720929205418,
-0.011900338344275951,
0.019998202100396156,
0.037848711013793945,
0.006676336284726858,
0.04960821568965912,
0.003716655308380723,
0.04710844159126282,
-0.008335518650710583,
-0.039397865533828735,
-0.024311194196343422,
-0.025578686967492104,
0.0037892721593379974,
-0.0333244688808918,
-0.03746142238378525,
0.04112306237220764,
0.04855197295546532,
-0.03830641508102417,
0.004304190631955862,
0.033676549792289734,
0.018449045717716217,
-0.023096514865756035,
0.021441735327243805,
-0.022181104868650436,
-0.041158273816108704,
-0.041792016476392746,
0.06485332548618317,
-0.04320034384727478,
0.015438753180205822,
-0.06495895236730576,
-0.005932565312832594,
-0.003239145502448082,
0.0037056528963148594,
0.0047442917712032795,
-0.012419658713042736,
0.010553629137575626,
0.04672115296125412,
-0.01594046875834465,
-0.036686841398477554,
-0.02711023949086666,
-0.048833638429641724,
0.028483355417847633,
0.01770087331533432,
-0.03996119648218155,
-0.06640248000621796,
-0.004495634697377682,
0.03124719113111496,
0.016459787264466286,
-0.012208409607410431,
-0.02864179201424122,
-0.014690580777823925,
-0.02189943939447403,
-0.0028848638758063316,
-0.03320124000310898,
-0.012542886659502983,
-0.032743535935878754,
-0.024117549881339073,
-0.021459339186549187,
-0.01837863028049469,
-0.03467998281121254,
-0.015958072617650032,
-0.011583466082811356,
0.02015663869678974,
0.011979556642472744,
-0.08985108137130737,
-0.014778601005673409,
0.01141622755676508,
0.03605309873819351,
-0.03135281428694725,
0.019910182803869247,
0.012833353132009506,
0.010351181961596012,
0.0017483023693785071,
-0.00924212671816349,
-0.02253318578004837,
0.01634536124765873,
0.013634338043630123,
0.024346403777599335,
-0.021160069853067398,
0.008749214000999928,
-0.03717975690960884,
0.004341599065810442,
-0.013968815095722675,
0.015209900215268135,
0.049150511622428894,
0.02200506441295147,
-0.003602229058742523,
0.01322944462299347,
-0.002986087230965495,
0.05749483034014702,
-0.03554258123040199,
0.015341931022703648,
-0.06189584359526634,
-0.004200766794383526,
0.010764877311885357,
-0.008106665685772896,
-0.02075517736375332,
-0.03031417727470398,
-0.021353714168071747,
-0.056861087679862976,
-0.0454888679087162,
0.02086080051958561,
-0.014937037602066994,
0.03725017234683037,
-0.030190948396921158,
-0.006465088110417128,
-0.016952700912952423,
0.06249438226222992,
0.050101131200790405,
-0.015121879987418652,
-0.07062745094299316,
0.026828574016690254,
-0.009198117069900036,
-0.05369235575199127,
0.009963893331587315,
0.002578993560746312,
-0.016116509214043617,
0.0025767930783331394,
-0.037003714591264725,
-0.030138136819005013,
0.018237797543406487,
0.01033357810229063,
0.03103594295680523,
-0.02688138745725155,
0.04753093793988228,
-0.0263532642275095,
-0.011398623697459698,
0.0015238507185131311,
0.0019155408954247832,
-0.023747865110635757,
0.006460686679929495,
0.020191846415400505,
0.00007529857975896448,
0.008982467465102673,
-0.053727563470602036,
0.03894016146659851,
-0.02344859577715397,
-0.0003171479911543429,
-0.005923763383179903,
-0.019452476873993874,
-0.02617722377181053,
-0.012049973011016846,
-0.010958521626889706,
-0.02240995690226555,
-0.0063902707770466805,
0.020684760063886642,
0.005087570752948523,
0.007384899538010359,
0.03585945442318916,
-0.02242756076157093,
-0.03219781070947647,
-0.03633476048707962,
-0.04640427976846695,
-0.007983437739312649,
-0.02607160061597824,
0.017586447298526764,
0.020508719608187675,
-0.0005666303914040327,
-0.015491565689444542,
0.042003266513347626,
-0.012630906887352467,
-0.017119940370321274,
0.006495894864201546,
0.01602848805487156,
0.0009544696658849716,
0.012815749272704124
] |
Deep neural networks (DNNs) have substantial computational and memory
requirements, and the compilation of its computational graphs has a great
impact on the performance of resource-constrained (e.g., computation, I/O, and
memory-bound) edge computing systems. While efficient execution of their
computational graph requires an effective scheduling algorithm, generating the
optimal scheduling solution is a challenging NP-hard problem. Furthermore, the
complexity of scheduling DNN computational graphs will further increase on
pipelined multi-core systems considering memory communication cost, as well as
the increasing size of DNNs. Using the synthetic graph for the training
dataset, this work presents a reinforcement learning (RL) based scheduling
framework RESPECT, which learns the behaviors of optimal optimization
algorithms and generates near-optimal scheduling results with short solving
runtime overhead. Our framework has demonstrated up to $\sim2.5\times$
real-world on-chip inference runtime speedups over the commercial compiler with
ten popular ImageNet models deployed on the physical Coral Edge TPUs system.
Moreover, compared to the exact optimization methods, the proposed RL
scheduling improves the scheduling optimization runtime by up to 683$\times$
speedups compared to the commercial compiler and matches the exact optimal
solutions with up to 930$\times$ speedups. Finally, we perform a comprehensive
generalizability test, which demonstrates RESPECT successfully imitates optimal
solving behaviors from small synthetic graphs to large real-world DNNs
computational graphs. | [
-0.003722180612385273,
-0.03698889911174774,
-0.04768531769514084,
-0.008259531110525131,
0.05731208994984627,
0.04161251336336136,
0.012007590383291245,
0.04171602427959442,
-0.035677727311849594,
-0.016294782981276512,
0.032693080604076385,
-0.024826038628816605,
0.004015469457954168,
-0.025274597108364105,
-0.008794352412223816,
0.04499395936727524,
0.014034734107553959,
0.018183909356594086,
0.002113404916599393,
-0.067007876932621,
-0.00577520253136754,
0.0074529871344566345,
0.0357467345893383,
-0.013146241195499897,
-0.0003649936697911471,
0.005745010916143656,
0.029328884556889534,
0.02097877860069275,
-0.08322502672672272,
-0.02260049432516098,
0.016493184491991997,
0.06500661373138428,
-0.0036121972370892763,
-0.009152336977422237,
-0.011144976131618023,
-0.015613318420946598,
0.07666915655136108,
0.014543676748871803,
-0.0021382051054388285,
0.0033340041991323233,
0.006003795191645622,
0.0012949996162205935,
-0.03874863311648369,
-0.024222208186984062,
0.013982976786792278,
-0.04109494388103485,
0.0027495829854160547,
0.0051023634150624275,
-0.02287653088569641,
-0.012611420825123787,
0.03024325519800186,
0.0006377954268828034,
0.045856572687625885,
-0.008289722725749016,
-0.04081890732049942,
0.028380008414387703,
0.06376444548368454,
-0.011291620321571827,
0.027707170695066452,
0.04223359376192093,
-0.0012896083062514663,
0.015130254440009594,
-0.08853872865438461,
-0.014302144758403301,
0.06404048204421997,
-0.05789867043495178,
0.008250905200839043,
0.01906377449631691,
0.025654148310422897,
-0.020702742040157318,
-0.052550461143255234,
-0.03847259655594826,
-0.027310367673635483,
-0.005542296450585127,
0.06100407987833023,
-0.004013312980532646,
0.017735349014401436,
-0.025274597108364105,
-0.0033943871967494488,
-0.013706940226256847,
-0.001681019552052021,
0.04775432497262955,
0.011981711722910404,
-0.012585542164742947,
0.08115474879741669,
-0.05976191535592079,
0.029484154656529427,
-0.050514690577983856,
0.0428546778857708,
-0.012783943675458431,
-0.05700154975056648,
-0.03405601158738136,
-0.010532519780099392,
-0.007194202858954668,
0.02401518076658249,
0.008578699082136154,
-0.014241761527955532,
-0.01854620687663555,
-0.02872505411505699,
-0.008104261010885239,
-0.04271665960550308,
-0.031019609421491623,
-0.006430789362639189,
-0.012801195494830608,
0.027758926153182983,
-0.003959399648010731,
-0.05123928561806679,
0.015190636739134789,
-0.0033081257715821266,
0.1161423847079277,
-0.011567656882107258,
-0.01686410792171955,
0.003318908391520381,
-0.012904709205031395,
-0.032520558685064316,
-0.00947150494903326,
-0.016570819541811943,
-0.03830007463693619,
0.01003220397979021,
-0.037989530712366104,
0.013292885385453701,
0.06352291256189346,
0.006482546217739582,
0.01591523364186287,
-0.027362124994397163,
0.06300534307956696,
-0.012921961955726147,
-0.026413248851895332,
0.026620276272296906,
-0.0020152826327830553,
0.012421645224094391,
-0.020029902458190918,
-0.03239979222416878,
-0.045856572687625885,
-0.0019818563014268875,
0.04319972172379494,
-0.004121139645576477,
0.008505376987159252,
-0.008026625961065292,
-0.02073724754154682,
0.028086720034480095,
0.027189601212739944,
-0.004476968199014664,
-0.018477197736501694,
0.017286790534853935,
0.017304042354226112,
-0.01464719045907259,
0.07121743261814117,
-0.02805221639573574,
0.04278566688299179,
-0.0669388696551323,
0.04109494388103485,
-0.014190004207193851,
0.03302087262272835,
0.011662544682621956,
0.01545804738998413,
-0.01956409215927124,
-0.02063373290002346,
0.0033792913891375065,
0.01211973000317812,
0.0522744245827198,
0.0013133302563801408,
-0.02170337550342083,
0.050135139375925064,
0.014440163038671017,
0.03210650384426117,
0.008367358706891537,
0.0058140200562775135,
-0.09661279618740082,
0.029087353497743607,
-0.018632467836141586,
0.008979814127087593,
-0.005822646431624889,
-0.04754729941487312,
0.0009564235806465149,
0.028103971853852272,
0.01625165343284607,
-0.005977916996926069,
-0.04830639809370041,
-0.028380008414387703,
-0.038369081914424896,
0.03510839864611626,
0.02417045086622238,
0.004834952764213085,
0.011964459903538227,
0.011032836511731148,
0.029587669298052788,
-0.007069123908877373,
0.013724192976951599,
0.016950370743870735,
-0.005952038336545229,
0.03919719159603119,
0.052377939224243164,
-0.01939156837761402,
-0.010920696891844273,
-0.09309332817792892,
-0.024981308728456497,
0.028638793155550957,
0.0212030578404665,
0.028811316937208176,
-0.040404852479696274,
-0.013620679266750813,
0.01928805559873581,
-0.02242797054350376,
0.004834952764213085,
-0.06362643092870712,
0.05955488979816437,
0.024653514847159386,
0.02244522236287594,
-0.025550633668899536,
-0.002117718104273081,
-0.003588475286960602,
-0.0866064727306366,
-0.03723043203353882,
-0.033762723207473755,
0.007806659210473299,
0.024808786809444427,
-0.0464431531727314,
-0.02625797875225544,
-0.046926215291023254,
-0.03200298920273781,
0.04043935611844063,
0.006762895733118057,
-0.03526367247104645,
0.005486226640641689,
-0.006077117286622524,
0.03131289780139923,
0.019357064738869667,
0.026844555512070656,
0.00809563510119915,
-0.023583874106407166,
0.0030514979735016823,
0.0446489155292511,
0.0057493238709867,
0.024308469146490097,
-0.027413880452513695,
0.02660302445292473,
0.005706193391233683,
-0.04947955533862114,
0.019667604938149452,
0.007056184578686953,
0.0060296738520264626,
-0.0005388643476180732,
-0.015190636739134789,
0.05876128375530243,
-0.021410085260868073,
-0.02772442251443863,
0.06390246748924255,
0.05065270885825157,
-0.023307837545871735,
-0.04430386796593666,
-0.05838173255324364,
-0.01569095253944397,
-0.013982976786792278,
-0.06286732852458954,
0.014120995067059994,
0.009411121718585491,
-0.012516533024609089,
-0.008074069395661354,
-0.003983121365308762,
0.07004427909851074,
0.00318520306609571,
0.027189601212739944,
-0.005261946935206652,
-0.051411811262369156,
0.009333486668765545,
0.04954856261610985,
0.015501177869737148,
0.012361261993646622,
-0.00787566788494587,
-0.006163378711789846,
-0.03974926471710205,
-0.019546838477253914,
-0.04430386796593666,
-0.02979469671845436,
-0.055862899869680405,
-0.003357725916430354,
-0.022980043664574623,
0.06100407987833023,
0.021617112681269646,
-0.010834435001015663,
0.022514231503009796,
-0.012568289414048195,
-0.03750646859407425,
-0.034038759768009186,
-0.0032153946813195944,
-0.00939386896789074,
-0.03046753630042076,
-0.03957674279808998,
0.03830007463693619,
-0.04485594108700752,
0.0482373908162117,
-0.023549368605017662,
0.05969290807843208,
0.06003795191645622,
0.010230605490505695,
-0.012188739143311977,
-0.07356374710798264,
0.025171084329485893,
-0.002242797054350376,
0.008785726502537727,
0.021341076120734215,
0.04537351056933403,
0.036402322351932526,
-0.005227442365139723,
-0.0268100518733263,
-0.010152969509363174,
0.02097877860069275,
0.0243429746478796,
-0.03359019756317139,
0.014526423998177052,
0.03833457827568054,
0.0045373509638011456,
-0.06152164936065674,
0.012413019314408302,
0.042820170521736145,
-0.03678187355399132,
0.004274253733456135,
-0.043268732726573944,
-0.013396399095654488,
0.04499395936727524,
-0.02227270044386387,
-0.045235492289066315,
0.0212030578404665,
0.03143366426229477,
0.03895565867424011,
0.060244981199502945,
0.0011709989048540592,
-0.024532750248908997,
0.00605986500158906,
-0.029001090675592422,
-0.028759559616446495,
-0.0687331035733223,
0.0026201908476650715,
-0.009247224777936935,
0.03181321546435356,
-0.07121743261814117,
0.04751279205083847,
0.009454252198338509,
-0.0214273389428854,
0.012413019314408302,
0.005158433225005865,
-0.011774684302508831,
0.005688941106200218,
-0.011429638601839542,
-0.04271665960550308,
-0.04937604069709778,
-0.013499912805855274,
0.007241646759212017,
-0.02996721863746643,
0.001120320288464427,
-0.003610040759667754,
0.028138477355241776,
-0.019581343978643417,
0.08881476521492004,
-0.019426073879003525,
0.010308240540325642,
-0.004834952764213085,
-0.01375007163733244,
-0.03553970903158188,
0.0018427596660330892,
-0.06335039436817169,
-0.0673874244093895,
0.0013338172575458884,
-0.04409684240818024,
0.03265857696533203,
-0.012982344254851341,
0.0002517755492590368,
-0.03481511026620865,
0.07273563742637634,
-0.022669503465294838,
0.03422853350639343,
0.026689285412430763,
-0.025774914771318436,
0.014517798088490963,
-0.03279659524559975,
0.009635400958359241,
-0.021392833441495895,
-0.06966472417116165,
0.02844901755452156,
-0.02232445776462555,
0.04468341916799545,
-0.018511701375246048,
-0.015320029109716415,
-0.00076233537402004,
0.048823967576026917,
0.01545804738998413,
-0.08336304128170013,
-0.011662544682621956,
0.016993500292301178,
0.03923169523477554,
-0.04637414216995239,
-0.034383803606033325,
-0.02175513096153736,
-0.014138247817754745,
0.02984645403921604,
0.009402495808899403,
-0.0014416440390050411,
0.040232330560684204,
-0.0075737531296908855,
-0.04982459917664528,
-0.03636781871318817,
0.020271435379981995,
0.05217090994119644,
-0.05030766502022743,
-0.004334636498242617,
-0.006042612716555595,
-0.0643165186047554,
0.04771982133388519,
0.012904709205031395,
0.05110126733779907,
-0.04454540088772774,
-0.010687790811061859,
-0.005041980184614658,
0.023514864966273308,
0.03155443072319031,
-0.020340444520115852,
0.0010049456031993032,
-0.00804387778043747,
-0.06345390528440475,
-0.04602909833192825,
0.029535911977291107,
0.018063142895698547,
0.0058614639565348625,
0.0513773038983345,
0.017226407304406166,
0.010636033490300179,
0.0024994248524308205,
-0.016277531161904335,
-0.010463510639965534,
-0.0021533009130507708,
-0.004485594108700752,
-0.0030234630685299635,
-0.029449651017785072,
-0.022669503465294838,
0.031174879521131516,
0.023031800985336304,
0.06293633580207825,
-0.05958939343690872,
0.001640045316889882,
-0.034107767045497894,
-0.05776065215468407,
-0.06269480288028717,
-0.015777215361595154,
-0.023256080225110054,
-0.020478462800383568,
-0.01871872879564762,
-0.0183219276368618,
-0.017640462145209312,
-0.04147449508309364,
-0.0759100541472435,
-0.010705042630434036,
-0.032141007483005524,
-0.02834550477564335,
0.04992811381816864,
-0.025826670229434967,
-0.024360226467251778,
-0.041578005999326706,
-0.030053481459617615,
-0.015440795570611954,
-0.005227442365139723,
0.04606360197067261,
0.003674736712127924,
-0.0768071711063385,
-0.04143998771905899,
0.06731841713190079,
-0.08336304128170013,
-0.050687212496995926,
0.013819080777466297,
0.023877162486314774,
-0.025395363569259644,
-0.027689917013049126,
0.01254241168498993,
-0.008272470906376839,
0.03923169523477554,
-0.021634366363286972,
0.018511701375246048,
-0.10068433731794357,
-0.019753865897655487,
-0.04313071444630623,
0.042751163244247437,
0.01453504990786314,
0.06414399296045303,
-0.016838230192661285,
0.0006140735349617898,
0.046581171452999115,
0.004157800693064928,
-0.014457414858043194,
0.02530910260975361,
-0.04368278756737709,
0.056311458349227905,
0.04920351877808571,
-0.07032031565904617,
-0.01312898937612772,
-0.01487146969884634,
-0.017787106335163116,
-0.007496118079870939,
-0.07611708343029022,
0.07377076894044876,
0.017166024073958397,
-0.028155729174613953,
-0.031174879521131516,
0.016001494601368904,
0.03757547587156296,
-0.05099775642156601,
-0.02379090152680874,
0.06787049025297165,
0.006642129737883806,
-0.07135545462369919,
-0.02406693808734417,
-0.017166024073958397,
0.05807119235396385,
0.024826038628816605,
-0.008216400630772114,
0.0013359738513827324,
0.06317786872386932,
-0.008216400630772114,
-0.019805623218417168,
0.024808786809444427,
0.0562424510717392,
-0.013844958506524563,
-0.019132783636450768,
0.029604921117424965,
0.04457990452647209,
-0.038093045353889465,
0.01180918887257576,
0.03498763591051102,
-0.02727586217224598,
0.021410085260868073,
0.006870722398161888,
-0.024377478286623955,
0.020254183560609818,
-0.011757432483136654,
-0.0005590818473137915,
-0.03333141654729843,
-0.01946057751774788,
0.015311403200030327,
0.022962791845202446,
-0.0070906891487538815,
0.008099948056042194,
-0.03469434380531311,
0.01794237643480301,
-0.005952038336545229,
-0.017683591693639755,
-0.027258610352873802,
0.0009391712956130505,
0.02765541337430477,
-0.03469434380531311,
-0.039887282997369766,
0.015552935190498829,
-0.04347575828433037,
-0.01669158600270748,
-0.010782678611576557,
-0.020116165280342102,
-0.042026568204164505,
-0.022082924842834473,
-0.0036898325197398663,
-0.04682270064949989,
-0.04840991273522377,
-0.016898613423109055,
-0.0036855193320661783,
0.009040197357535362,
-0.0009650497231632471,
-0.006335901562124491,
-0.023928919807076454,
-0.03681637719273567,
-0.014638563618063927,
0.02872505411505699,
0.022565988823771477,
-0.014776581898331642,
0.014112369157373905,
-0.0050290413200855255,
-0.026775546371936798,
-0.03150267153978348,
0.00021147527149878442,
0.04920351877808571,
-0.01489734835922718,
-0.03578123822808266,
0.023756396025419235,
0.0140606127679348,
0.011265742592513561,
0.019374316558241844,
0.021116796880960464,
0.032917361706495285,
0.04499395936727524,
-0.012663177214562893,
-0.02192765474319458,
-0.026395997032523155,
0.0669388696551323,
-0.05196388438344002,
-0.02530910260975361,
0.01646730676293373,
-0.017528321593999863,
0.024705272167921066,
-0.044614408165216446,
-0.007504743989557028,
0.01127436850219965,
0.002445511519908905,
0.010230605490505695,
-0.052999019622802734,
0.04468341916799545,
0.04537351056933403,
-0.0049341535195708275,
-0.005581114441156387,
-0.03267582878470421,
-0.012827074155211449,
0.042371612042188644,
0.016889987513422966,
0.05593190714716911,
0.021996663883328438,
-0.0008167878841049969,
0.03940422087907791,
0.04668468236923218,
0.004069382790476084,
0.012292252853512764,
0.013085857965052128,
0.036402322351932526,
0.018684225156903267,
-0.018408188596367836,
-0.021151302382349968,
-0.013249754905700684,
-0.04858243465423584,
0.0019236297812312841,
0.03236528858542442,
-0.016450053080916405,
0.05375812202692032,
-0.021410085260868073,
-0.0410604402422905,
-0.01732129417359829,
-0.012240496464073658,
-0.0013338172575458884,
0.01563057117164135,
-0.013232503086328506,
-0.000960736651904881,
-0.009143711067736149,
-0.03272758424282074,
-0.038541603833436966,
0.04699522629380226,
-0.012775316834449768,
0.00520156417042017,
-0.03650583699345589,
0.002156535629183054,
0.008608890697360039,
0.043441254645586014,
-0.00022131447622086853,
0.005844211671501398,
0.014578181318938732,
0.012533784843981266,
0.03172695264220238,
0.020219678059220314,
0.02215193398296833,
0.031347401440143585,
0.03183046728372574,
0.04188854992389679,
0.021634366363286972,
-0.036471329629421234,
0.05986542999744415,
0.0007219003164209425,
0.004356202203780413,
0.04009431228041649,
0.01371556706726551,
0.052930012345314026,
-0.014724825508892536,
0.0038472595624625683,
0.02862154133617878,
-0.011455517262220383,
0.024360226467251778,
0.0759100541472435,
0.000005349219463823829,
0.03447006642818451,
-0.03636781871318817,
-0.036747366189956665,
-0.02225544862449169,
0.0018589337123557925,
0.03329690918326378,
-0.03046753630042076,
0.019029270857572556,
0.0236701350659132,
-0.01759733073413372,
0.008583012036979198,
-0.03476335480809212,
-0.03543619439005852,
-0.001642201910726726,
-0.001717680599540472,
-0.023238828405737877,
-0.009324859827756882,
-0.012447523884475231,
-0.011774684302508831,
-0.01568232662975788,
0.07245960086584091,
-0.008639081381261349,
-0.0212030578404665,
-0.00029194101807661355,
-0.004545977339148521,
0.025395363569259644,
0.048720452934503555,
-0.01714877225458622,
-0.007625509984791279,
0.050514690577983856,
-0.03362470492720604,
-0.005067858844995499,
0.017183275893330574,
-0.015242394059896469,
0.015113001689314842,
0.005348208360373974,
0.028880326077342033,
0.00863045547157526,
0.015052618458867073,
-0.048375409096479416,
-0.001961369067430496,
0.011412386782467365,
-0.00919546838849783,
-0.0020886047277599573,
0.04143998771905899,
0.06390246748924255,
0.04012881591916084,
0.002840157365426421,
-0.0022967103868722916,
-0.005041980184614658,
0.028604289516806602,
0.003983121365308762,
-0.011740179732441902,
0.005085111130028963,
-0.04982459917664528,
-0.010170222260057926,
0.04727126285433769,
0.04378629848361015,
-0.007077749818563461,
-0.0009262320818379521,
-0.0026503822300583124,
0.02693081647157669,
-0.007729023694992065,
-0.01693311706185341,
-0.010463510639965534,
0.01736442558467388,
-0.043820805847644806,
0.05341307446360588,
0.0009165276424027979,
0.01951233483850956,
-0.02125481516122818,
0.011722927913069725,
-0.026050951331853867,
0.015397664159536362,
0.02682730369269848,
0.03874863311648369,
-0.014543676748871803,
-0.00885042268782854,
-0.00038790685357525945,
-0.013111736625432968,
-0.0064997985027730465,
0.014008855447173119,
-0.002079978585243225,
0.03357294574379921,
-0.008738282136619091,
-0.06390246748924255,
0.026188969612121582,
-0.014155499637126923,
-0.017838863655924797,
0.0361952930688858,
0.000561777560506016,
0.005227442365139723,
0.048996489495038986,
0.0310368612408638,
0.01681235246360302,
0.0602794848382473,
0.014992236159741879,
-0.023083558306097984,
0.024032432585954666,
0.008686525747179985,
0.026068203151226044,
0.03360745310783386,
0.0034137959592044353,
0.060969576239585876,
-0.012016216292977333,
-0.007763528265058994,
0.0070432452484965324,
-0.01579446718096733,
0.027914198115468025,
0.0063057104125618935,
0.016967622563242912,
-0.019150037318468094,
-0.0010863548377528787,
-0.0015807406743988395,
0.03076082468032837,
-0.034832362085580826,
0.005365460645407438,
0.015440795570611954,
-0.005395652260631323,
-0.021013284102082253,
0.01366380974650383,
0.0121714873239398,
0.014086490496993065,
0.003200298873707652,
0.010463510639965534,
0.036022771149873734,
-0.01248202845454216,
0.010705042630434036,
0.016967622563242912,
-0.008997066877782345,
-0.03712691739201546,
0.05475875362753868,
-0.022617746144533157,
-0.015225141309201717,
0.019426073879003525,
0.00559405330568552,
0.014043360017240047,
-0.005637184251099825,
0.015932485461235046,
-0.004476968199014664,
0.01093794871121645,
0.04992811381816864,
0.032917361706495285,
-0.01393984630703926,
-0.00593047309666872,
0.03233078122138977,
-0.045131977647542953,
0.03605727478861809,
0.021151302382349968,
-0.04019782319664955,
-0.04526999592781067,
0.0254643727093935,
-0.026516761630773544,
0.004011156503111124,
-0.005227442365139723,
-0.04126746580004692,
-0.02941514551639557,
0.04706423357129097,
0.027293115854263306,
0.026240725070238113,
0.006435102317482233,
-0.012620046734809875,
0.07176950573921204,
-0.036022771149873734,
0.0401633195579052,
-0.04992811381816864,
0.04319972172379494,
0.0007030306151136756,
0.06348840892314911,
-0.011791937053203583,
0.0018427596660330892,
0.020167920738458633,
0.0026245038025081158,
-0.017105640843510628,
-0.012378514744341373,
-0.014681695029139519,
0.011455517262220383,
-0.02889757789671421,
0.01400022953748703,
-0.015777215361595154,
-0.016631202772259712,
0.004252688493579626,
0.03257231414318085,
-0.008388923481106758,
-0.01968485675752163,
-0.03008798509836197,
-0.038990166038274765,
0.011067341081798077,
0.011075966991484165,
-0.023514864966273308,
-0.008035251870751381,
0.053378570824861526,
0.023066304624080658,
-0.014655816368758678,
-0.0166398286819458,
0.010920696891844273,
0.0020044997800141573,
0.0029264187905937433,
0.018011385574936867,
-0.012689055874943733,
-0.05762263387441635,
0.00486514437943697,
0.05610443279147148,
-0.026913564652204514,
0.03767899051308632,
0.01248202845454216,
-0.00559405330568552,
0.019443325698375702,
-0.05606992542743683,
0.007172637619078159,
-0.013059980235993862,
0.0003172802971675992,
-0.001597992959432304,
0.06269480288028717,
-0.035850249230861664,
0.07135545462369919,
0.005197250749915838,
-0.011774684302508831,
-0.03578123822808266,
0.011360629461705685,
-0.04616711661219597,
-0.023066304624080658,
0.06894013285636902,
0.0030040540732443333,
0.0017963942373171449,
0.021013284102082253,
-0.005412904545664787,
-0.013525791466236115,
0.0079834945499897,
0.03740295395255089,
-0.0029673930257558823,
0.002029299968853593,
-0.05575938522815704,
-0.020823508501052856,
-0.08915980905294418,
0.05379262566566467,
0.007798032835125923,
-0.01034274511039257,
-0.0037739374674856663,
0.028863072395324707,
-0.035004887729883194,
-0.003668267047032714,
-0.015423542819917202,
0.01871872879564762,
-0.018011385574936867,
0.013629305176436901,
0.01304272748529911,
-0.026723789051175117,
-0.02660302445292473,
0.06197020784020424,
-0.03767899051308632,
0.003111880971118808,
0.012594168074429035,
-0.004834952764213085,
0.031847719103097916,
0.025930184870958328,
0.029052847996354103,
-0.00442521134391427,
0.011352003552019596,
-0.023480359464883804,
-0.011136350221931934,
-0.028742307797074318,
0.047478288412094116,
0.05296451598405838,
-0.019184540957212448,
0.024187704548239708,
0.015130254440009594,
0.004019782412797213,
-0.019046522676944733,
-0.023756396025419235,
0.02889757789671421,
-0.041301969438791275,
0.032141007483005524,
0.0012658864725381136,
-0.0033706652466207743,
0.01040312834084034,
0.011679797433316708,
0.033262405544519424,
0.02862154133617878,
-0.013957099057734013,
0.03547069802880287,
-0.05382712930440903,
0.0009661279618740082,
0.003946460317820311,
-0.011705675162374973,
-0.007513370364904404,
-0.04447638988494873,
-0.008099948056042194,
0.019805623218417168,
0.02046121098101139,
0.06359191983938217,
-0.010101213119924068,
0.012378514744341373,
-0.028190234676003456,
0.0006324040587060153,
-0.00939386896789074,
0.018977513536810875,
-0.036022771149873734,
-0.045684050768613815,
-0.021893149241805077,
0.009575018659234047,
0.04012881591916084,
-0.011955833993852139,
0.018114900216460228,
0.0029673930257558823,
-0.0366438552737236,
-0.002044395776465535,
0.014992236159741879,
-0.015501177869737148,
0.0036553279496729374,
-0.015285524539649487,
0.04047385975718498,
-0.0032024553511291742,
-0.015285524539649487,
-0.0010841982439160347,
0.002710765227675438,
-0.047995857894420624,
-0.011740179732441902,
0.0007353786495514214,
-0.0344010554254055,
0.0012076599523425102,
-0.049514058977365494,
0.011464143171906471,
-0.002553338184952736,
-0.03778250515460968,
0.004800448194146156,
-0.001634654006920755,
-0.0029393581207841635,
-0.020150668919086456,
0.016337914392352104,
0.01968485675752163,
-0.013336016796529293,
0.019270801916718483,
-0.015043992549180984,
0.04271665960550308,
0.04944504797458649,
0.002404537284746766,
0.05061820521950722,
-0.012904709205031395,
-0.03743745759129524,
0.021099545061588287,
0.023014549165964127,
0.025343606248497963,
-0.00033911524224095047,
0.0014578180853277445,
0.012413019314408302,
0.017623208463191986,
0.005977916996926069,
0.05500028654932976,
0.001563488389365375,
-0.005964977666735649,
-0.017588704824447632,
-0.026016445830464363,
0.0067887743934988976,
0.03396974876523018
] |
Extending Moore's law by augmenting complementary-metal-oxide semiconductor
(CMOS) transistors with emerging nanotechnologies (X) has become increasingly
important. Accelerating Monte Carlo algorithms that rely on random sampling
with such CMOS+X technologies could have significant impact on a large number
of fields from probabilistic machine learning, optimization to quantum
simulation. In this paper, we show the combination of stochastic magnetic
tunnel junction (sMTJ)-based probabilistic bits (p-bits) with versatile Field
Programmable Gate Arrays (FPGA) to design a CMOS + X (X = sMTJ) prototype. Our
approach enables high-quality true randomness that is essential for Monte Carlo
based probabilistic sampling and learning. Our heterogeneous computer
successfully performs probabilistic inference and asynchronous Boltzmann
learning, despite device-to-device variations in sMTJs. A comprehensive
comparison using a CMOS predictive process design kit (PDK) reveals that
compact sMTJ-based p-bits replace 10,000 transistors while dissipating two
orders of magnitude of less energy (2 fJ per random bit), compared to digital
CMOS p-bits. Scaled and integrated versions of our CMOS + stochastic nanomagnet
approach can significantly advance probabilistic computing and its applications
in various domains by providing massively parallel and truly random numbers
with extremely high throughput and energy-efficiency. | [
-0.020002281293272972,
0.010258262045681477,
-0.04812605679035187,
0.006086687091737986,
0.05195628106594086,
0.013751568272709846,
-0.02936505153775215,
0.015852872282266617,
0.010719307698309422,
0.04255804792046547,
0.04450862482190132,
-0.03429469093680382,
0.07270333170890808,
-0.005284290760755539,
-0.038018520921468735,
0.014017556793987751,
0.004158275667577982,
-0.0035243381280452013,
0.03716735914349556,
-0.03003888763487339,
0.038798753172159195,
-0.016659701243042946,
-0.06323416531085968,
-0.02489645779132843,
0.03477346897125244,
0.011756660416722298,
-0.012882675044238567,
0.021190360188484192,
-0.07064635306596756,
0.037344686686992645,
0.0466010607779026,
0.0275386031717062,
-0.045005135238170624,
-0.045395247638225555,
-0.0368836410343647,
-0.01923978328704834,
0.07390914112329483,
-0.020108677446842194,
-0.007988499477505684,
-0.012740815058350563,
0.02108396589756012,
-0.036050211638212204,
0.006312776822596788,
0.030606327578425407,
0.030251678079366684,
-0.023282798007130623,
-0.010302593931555748,
-0.04177781566977501,
-0.033142078667879105,
-0.006379273720085621,
0.013760434463620186,
-0.005776368081569672,
0.05780801177024841,
0.018370889127254486,
-0.013476714491844177,
-0.024559538811445236,
0.04879989102482796,
0.06699346005916595,
0.043160952627658844,
0.014948513358831406,
0.023229600861668587,
0.05706324800848961,
-0.013006802648305893,
-0.012146775610744953,
-0.018530482426285744,
0.014345607720315456,
0.02528657205402851,
-0.008139226585626602,
0.04096211865544319,
-0.02542843297123909,
-0.09894745796918869,
-0.005191194824874401,
0.04387025162577629,
-0.025783082470297813,
0.013042268343269825,
0.041174910962581635,
0.05493534356355667,
0.022289777174592018,
-0.02014414221048355,
0.02294587902724743,
0.022804019972682,
0.055644646286964417,
-0.011969450861215591,
-0.01423921249806881,
0.04259351268410683,
0.0068137203343212605,
0.024860991165041924,
-0.07738471031188965,
0.011907386593520641,
-0.0007841098122298717,
-0.026155466213822365,
0.023655179888010025,
0.006272878497838974,
0.03282289206981659,
0.0314042903482914,
0.03922433406114578,
0.019328445196151733,
-0.0019494688604027033,
0.010001140646636486,
-0.01318412832915783,
-0.005984725430607796,
-0.006272878497838974,
0.011676863767206669,
0.01672176644206047,
0.015976998955011368,
-0.018406355753540993,
-0.011153754778206348,
0.037486545741558075,
0.017023218795657158,
0.11824043840169907,
-0.010772505775094032,
0.009065750055015087,
-0.029701970517635345,
0.025499362498521805,
-0.019328445196151733,
-0.01595926657319069,
-0.06614229828119278,
-0.045608039945364,
-0.04089118912816048,
-0.01133994571864605,
-0.02739674225449562,
0.05929754301905632,
0.03495079651474953,
-0.005754202604293823,
-0.05624755099415779,
0.05702778324484825,
-0.003695013700053096,
-0.03519904986023903,
-0.012749681249260902,
0.004778914153575897,
-0.026705173775553703,
-0.020481059327721596,
0.008480577729642391,
-0.05050221458077431,
0.03395777568221092,
-0.015400692820549011,
0.04638826847076416,
0.009850414469838142,
-0.03386911004781723,
-0.03253917396068573,
-0.01688135787844658,
-0.02067611739039421,
-0.010311460122466087,
-0.04216793179512024,
0.014744590036571026,
-0.023389192298054695,
-0.0737672820687294,
0.0482679158449173,
-0.03652898967266083,
0.026049070060253143,
-0.05865917354822159,
0.061212655156850815,
-0.016305051743984222,
-0.005638941191136837,
0.01815810054540634,
0.023477856069803238,
0.0169877540320158,
-0.01701435260474682,
0.0608934722840786,
-0.06387253105640411,
0.011499539017677307,
0.016810428351163864,
-0.045395247638225555,
0.04727489501237869,
0.013414651155471802,
-0.0011492888443171978,
0.030499933287501335,
-0.0029502478428184986,
-0.04734582453966141,
0.016118859872221947,
0.029808364808559418,
-0.00494293961673975,
0.010781371966004372,
0.00672062486410141,
0.04968651756644249,
0.07163938134908676,
0.03108510561287403,
0.024860991165041924,
-0.0363871306180954,
-0.021420883014798164,
-0.013263924047350883,
-0.0016879141330718994,
0.05280744284391403,
0.045785363763570786,
0.03408190235495567,
0.030996443703770638,
0.06834112852811813,
-0.0042558046989142895,
-0.005412851460278034,
-0.0027862221468240023,
0.029081331565976143,
-0.0181935653090477,
-0.004818812012672424,
0.000983600621111691,
0.06252486258745193,
-0.014452002942562103,
-0.03573102504014969,
-0.016012465581297874,
-0.012146775610744953,
0.038692355155944824,
-0.0708591490983963,
-0.019824955612421036,
-0.007598384283483028,
-0.007762410212308168,
0.02755633555352688,
0.02294587902724743,
0.041848745197057724,
-0.03230864927172661,
0.023158669471740723,
-0.022608961910009384,
0.016269586980342865,
0.018495017662644386,
-0.019665364176034927,
-0.10164280235767365,
-0.008343149907886982,
-0.006498968228697777,
0.052630115300416946,
-0.023531053215265274,
-0.014709124341607094,
-0.014806653372943401,
-0.03385137766599655,
-0.02346012368798256,
0.05174349248409271,
-0.05380046367645264,
0.03477346897125244,
-0.008334283716976643,
-0.03342580050230026,
0.012634419836103916,
-0.010311460122466087,
-0.00025448936503380537,
0.013538778759539127,
0.04833884909749031,
0.020126409828662872,
0.03567782789468765,
0.016242988407611847,
-0.03042900376021862,
0.02030373364686966,
0.03622753545641899,
0.02041012980043888,
0.007567352615296841,
-0.03745108097791672,
0.039862703531980515,
0.0022387306671589613,
-0.049615588039159775,
-0.004929640330374241,
-0.008786463178694248,
-0.07554053515195847,
0.042380720376968384,
0.013654040172696114,
0.04348013550043106,
-0.06929868459701538,
-0.028372030705213547,
0.029028134420514107,
0.02567668817937374,
-0.03624526783823967,
0.01899152807891369,
-0.018495017662644386,
-0.051601629704236984,
0.044721413403749466,
-0.027698194608092308,
0.04720396548509598,
0.006303910631686449,
-0.015356361865997314,
0.014992845244705677,
-0.02755633555352688,
0.03440108895301819,
0.013538778759539127,
0.03016301430761814,
0.0045927222818136215,
0.008808628655970097,
0.017422199249267578,
-0.07468937337398529,
-0.017457665875554085,
0.009770617820322514,
0.08334284275770187,
-0.09313119202852249,
-0.010453320108354092,
0.030730456113815308,
-0.019044725224375725,
-0.014132818207144737,
0.008808628655970097,
0.043692927807569504,
0.0061797830276191235,
-0.05770161747932434,
0.0006549949175678194,
-0.05372953414916992,
-0.040536537766456604,
0.003553153481334448,
-0.08660562336444855,
0.010754772461950779,
-0.003087674966081977,
-0.038408637046813965,
-0.009123381227254868,
-0.017431067302823067,
0.013857963494956493,
-0.05206267535686493,
-0.021686870604753494,
-0.003728262148797512,
0.036812711507081985,
-0.003703879890963435,
-0.006365974433720112,
-0.05759522318840027,
-0.048303380608558655,
0.06181556358933449,
-0.07156844437122345,
-0.011180353350937366,
0.027591800317168236,
0.011357678100466728,
0.02122582495212555,
-0.03624526783823967,
0.053977787494659424,
0.04174235090613365,
0.013600842095911503,
0.024843258783221245,
-0.012430495582520962,
-0.011402009986341,
-0.006405872758477926,
-0.022449368610978127,
-0.036174338310956955,
-0.06170916557312012,
-0.03147521987557411,
-0.050679538398981094,
-0.13859736919403076,
0.0355537012219429,
0.0073057981207966805,
0.0016336083645001054,
-0.020888907834887505,
0.0519208163022995,
-0.06568124890327454,
0.006259579211473465,
-0.0012091360986232758,
-0.06390799582004547,
-0.056992318481206894,
0.010231663472950459,
-0.020232804119586945,
-0.04351560398936272,
-0.00164025800768286,
0.07539866864681244,
0.0018076086416840553,
0.01284721028059721,
-0.015312029980123043,
0.014416538178920746,
-0.00526655837893486,
0.010302593931555748,
-0.012120177038013935,
-0.021314488723874092,
-0.0016114426543936133,
0.0363871306180954,
0.024204889312386513,
-0.014540665782988071,
0.00103014858905226,
0.00928297359496355,
0.0006666319095529616,
-0.04323188215494156,
0.06557485461235046,
-0.0034135100431740284,
0.035624630749225616,
-0.025517094880342484,
0.009460299275815487,
-0.00638813991099596,
0.021899661049246788,
-0.06334055960178375,
0.029471447691321373,
0.026793835684657097,
-0.02080024592578411,
0.0019007044611498713,
-0.021172627806663513,
-0.04706210643053055,
0.008932756260037422,
-0.023406924679875374,
-0.02690023183822632,
0.05177895724773407,
-0.045395247638225555,
0.02909906394779682,
-0.0037459947634488344,
-0.04773594066500664,
0.003613000735640526,
0.05731150135397911,
-0.07064635306596756,
0.048941753804683685,
-0.008449545130133629,
0.007722511887550354,
0.0046104551292955875,
-0.0022897114977240562,
0.03057086281478405,
0.004023065324872732,
0.05411965027451515,
-0.05121151730418205,
-0.06245393306016922,
0.08171144872903824,
0.009646490216255188,
-0.06263125687837601,
-0.020108677446842194,
-0.019080189988017082,
0.018211297690868378,
-0.013334854505956173,
0.019576700404286385,
-0.02397436648607254,
0.03152842074632645,
-0.0524173267185688,
-0.03161708265542984,
-0.04376385733485222,
-0.04879989102482796,
-0.00672505795955658,
0.02372611127793789,
0.01750199683010578,
-0.031439755111932755,
-0.023123204708099365,
-0.020711582154035568,
-0.031688012182712555,
-0.04638826847076416,
-0.03649352490901947,
-0.01191625278443098,
-0.016792695969343185,
-0.012483693659305573,
-0.01860141195356846,
-0.04507606476545334,
0.03833770751953125,
-0.010293727740645409,
-0.01508150715380907,
-0.03108510561287403,
-0.010630644857883453,
0.044473156332969666,
-0.028247904032468796,
0.04507606476545334,
0.03727375715970993,
0.023619715124368668,
-0.0026377122849226,
0.017954176291823387,
-0.016535574570298195,
-0.0012734165647998452,
0.030641792342066765,
-0.02768046222627163,
-0.017049817368388176,
0.0035908350255340338,
-0.008888425305485725,
0.008600272238254547,
0.04805512726306915,
0.029010402038693428,
-0.010391255840659142,
-0.004792213439941406,
0.01897379569709301,
-0.06422718614339828,
0.02674063853919506,
-0.008285519666969776,
-0.01688135787844658,
-0.05833998695015907,
-0.019044725224375725,
-0.05787894129753113,
-0.011251283809542656,
-0.046423736959695816,
0.011738928034901619,
-0.0727742612361908,
0.006467936560511589,
0.03243277594447136,
-0.004351116716861725,
-0.0040319315157830715,
-0.009770617820322514,
0.04979291558265686,
0.033815912902355194,
0.044579554349184036,
0.06883764266967773,
0.006299477536231279,
-0.0805765688419342,
0.03138655796647072,
0.007789009250700474,
-0.045395247638225555,
-0.06071614474058151,
-0.0020237236749380827,
-0.009584426879882812,
-0.011809857562184334,
-0.0025490496773272753,
-0.03191853314638138,
0.004854277241975069,
0.021030766889452934,
-0.03727375715970993,
0.004548391327261925,
-0.0514243058860302,
0.0292409248650074,
-0.02106623351573944,
-0.00785107258707285,
-0.02042786218225956,
-0.014700258150696754,
-0.015906069427728653,
0.0023074441123753786,
0.0348089337348938,
0.023531053215265274,
-0.013263924047350883,
0.03780573233962059,
0.0002457616210449487,
-0.040536537766456604,
-0.018548214808106422,
0.025783082470297813,
-0.014868717640638351,
-0.013866829685866833,
0.0291167963296175,
-0.024080760776996613,
-0.038692355155944824,
0.025215642526745796,
0.015462757088243961,
-0.040110956877470016,
-0.06546846032142639,
-0.0017211626982316375,
0.038798753172159195,
-0.0681992694735527,
-0.006255146116018295,
0.058836497366428375,
0.04528885334730148,
0.004156059119850397,
-0.007953034713864326,
-0.013272790238261223,
-0.002670960733667016,
-0.018131500110030174,
-0.03477346897125244,
0.023885702714323997,
-0.016686299815773964,
-0.022059254348278046,
-0.01817583292722702,
0.001215785858221352,
0.064298115670681,
0.040536537766456604,
0.0035598031245172024,
-0.0017444365657866001,
0.03542957454919815,
-0.0006472369423136115,
0.011277882382273674,
0.006104419939219952,
-0.04596269130706787,
0.04089118912816048,
-0.01455839816480875,
-0.04007549211382866,
0.02792871743440628,
-0.04731035977602005,
0.0034223762340843678,
-0.03296475484967232,
-0.014265812002122402,
0.018778737634420395,
0.036954570561647415,
-0.009708554483950138,
-0.025499362498521805,
0.01777685061097145,
0.06667426973581314,
0.021261289715766907,
-0.003925536293536425,
0.01423921249806881,
0.015001711435616016,
0.02503831684589386,
0.0028815343976020813,
-0.0003180770727340132,
0.021580476313829422,
-0.04567896947264671,
-0.0080993277952075,
-0.0037792432121932507,
-0.015046042390167713,
-0.004273537080734968,
-0.00850274320691824,
0.004204823635518551,
-0.027981914579868317,
0.03245050832629204,
-0.020126409828662872,
-0.009309572167694569,
-0.004650352988392115,
-0.017821181565523148,
-0.01829995959997177,
-0.004007549490779638,
-0.029028134420514107,
0.022821752354502678,
0.09674862772226334,
0.0319008007645607,
0.00242048897780478,
-0.014150550588965416,
-0.003910020459443331,
-0.03635166585445404,
0.006419172044843435,
-0.011348811909556389,
0.03005662001669407,
-0.0068580517545342445,
-0.0030366939026862383,
-0.02886854112148285,
0.018282227218151093,
0.016686299815773964,
-0.038798753172159195,
0.02227204479277134,
0.0037437782157212496,
-0.001888513332232833,
0.01911565661430359,
-0.01817583292722702,
-0.014584996737539768,
-0.029808364808559418,
-0.027432207018136978,
-0.03349673002958298,
0.008538207970559597,
-0.044083043932914734,
0.011295614764094353,
-0.005186761729419231,
-0.03230864927172661,
0.018690075725317,
-0.02333599515259266,
0.02149181254208088,
-0.052630115300416946,
-0.025765350088477135,
0.05504173785448074,
-0.017723653465509415,
-0.016757231205701828,
-0.001247926033101976,
0.027715926989912987,
0.003810275113210082,
-0.003078808542340994,
-0.027325812727212906,
-0.013671772554516792,
0.0174044668674469,
-0.011011894792318344,
0.030801385641098022,
-0.011836456134915352,
0.01456726435571909,
0.002278628759086132,
0.014966246671974659,
-0.007660448085516691,
-0.008861826732754707,
0.019168853759765625,
0.019683096557855606,
0.014709124341607094,
-0.013476714491844177,
0.018229030072689056,
0.0015959267038851976,
0.03335486724972725,
-0.030606327578425407,
0.00004443520083441399,
-0.016101127490401268,
0.019275248050689697,
-0.00969082210212946,
-0.009123381227254868,
-0.055786505341529846,
-0.016535574570298195,
0.01790984533727169,
-0.0115882009267807,
-0.01283834408968687,
0.07220681756734848,
0.0008378615602850914,
-0.011455207131803036,
-0.017333537340164185,
-0.000023447100829798728,
0.022165648639202118,
-0.018016239628195763,
-0.009389368817210197,
0.03773479908704758,
0.025907211005687714,
-0.014921914786100388,
0.024346748366951942,
0.029701970517635345,
0.054509762674570084,
0.02002001367509365,
-0.004973971750587225,
0.04752315208315849,
-0.012084712274372578,
-0.040926653891801834,
0.019700828939676285,
-0.010249395854771137,
-0.0038523897528648376,
0.00212568580172956,
-0.0074653904885053635,
0.017697054892778397,
0.00731023121625185,
0.03823131322860718,
-0.021686870604753494,
-0.014540665782988071,
-0.0071861036121845245,
-0.002158934250473976,
-0.05280744284391403,
0.02425808645784855,
-0.012829477898776531,
-0.021013034507632256,
0.01739560067653656,
0.020250536501407623,
0.028762146830558777,
-0.03684817627072334,
-0.004548391327261925,
0.014407671988010406,
0.03791212663054466,
0.0018951629754155874,
0.008400781080126762,
0.043941181153059006,
-0.009646490216255188,
-0.02319413423538208,
-0.008564806543290615,
-0.014611596241593361,
-0.01870780810713768,
0.004340033978223801,
-0.018885133787989616,
0.015010577626526356,
-0.011809857562184334,
-0.04110397771000862,
0.019470306113362312,
0.039862703531980515,
-0.011836456134915352,
0.04191967472434044,
-0.06458183377981186,
-0.021793266758322716,
-0.0058694640174508095,
-0.04479234293103218,
-0.017165077850222588,
-0.005975858774036169,
-0.014336741529405117,
-0.032202254980802536,
0.01647351123392582,
0.037096429616212845,
0.013689504936337471,
0.007421059068292379,
-0.051459770649671555,
0.007726945448666811,
-0.00038706764462403953,
0.061460912227630615,
-0.022041521966457367,
0.04649466648697853,
0.029028134420514107,
-0.005501514300704002,
0.027467671781778336,
-0.005971425678580999,
-0.014647061005234718,
0.05890743061900139,
-0.0031918534077703953,
0.042912695556879044,
-0.00731466431170702,
-0.011419742368161678,
0.019594434648752213,
0.06458183377981186,
0.02714848704636097,
-0.011118289083242416,
0.009806083515286446,
0.0020048830192536116,
0.011118289083242416,
-0.02794644981622696,
0.0003169687697663903,
0.018131500110030174,
0.029276389628648758,
0.011508405208587646,
-0.008219022303819656,
0.0516725592315197,
0.011703462339937687,
0.011508405208587646,
-0.002828336786478758,
0.004313435405492783,
-0.034312423318624496,
0.025641223415732384,
0.023619715124368668,
-0.04929640516638756,
-0.018246762454509735,
0.0016668568132445216,
-0.025623491033911705,
0.026776103302836418,
0.013804766349494457,
-0.0022719791159033775,
0.020055478438735008,
-0.05479348450899124,
-0.02409849315881729,
-0.02067611739039421,
0.003134222701191902,
-0.0057497695088386536,
0.04674291983246803,
-0.04567896947264671,
-0.013724969699978828,
0.026456918567419052,
0.000956447736825794,
0.043657463043928146,
0.03883421793580055,
-0.03851503133773804,
-0.05128244683146477,
-0.015524820424616337,
0.017182810232043266,
-0.017634989693760872,
0.006255146116018295,
-0.01173006184399128,
0.0334789976477623,
-0.0008932756609283388,
0.012962471693754196,
-0.024311283603310585,
-0.026776103302836418,
0.030269410461187363,
0.04475687816739082,
0.03720282390713692,
-0.0003987046075053513,
0.02333599515259266,
-0.017315804958343506,
0.02624412812292576,
-0.010666110552847385,
-0.031422022730112076,
-0.04099758341908455,
-0.004903041757643223,
0.0036639817990362644,
-0.01845955289900303,
0.0040186322294175625,
-0.007013211492449045,
0.04426036775112152,
0.008360883221030235,
0.0463528037071228,
0.03519904986023903,
0.0014041938120499253,
0.022059254348278046,
-0.025534827262163162,
-0.02503831684589386,
-0.005918228067457676,
-0.027183951810002327,
-0.006525567267090082,
0.038798753172159195,
0.00435333326458931,
-0.01712074689567089,
-0.021013034507632256,
-0.02452407404780388,
0.008954922668635845,
0.0021024118177592754,
0.01858367957174778,
-0.016420312225818634,
-0.010719307698309422,
0.01620752178132534,
0.04333827644586563,
-0.044969670474529266,
-0.013388051651418209,
0.03925979882478714,
-0.01700548641383648,
-0.031014176085591316,
0.016650835052132607,
-0.05692138522863388,
0.02989702671766281,
0.016384847462177277,
-0.008649036288261414,
-0.030801385641098022,
-0.002176666632294655,
-0.01515243761241436,
0.03612114116549492,
-0.03330167010426521,
-0.03883421793580055,
0.0019273031502962112,
-0.023389192298054695,
-0.017067549750208855,
-0.05780801177024841,
0.04865803197026253,
-0.01139314379543066,
0.04759408161044121,
-0.030269410461187363,
0.021704602986574173,
-0.044083043932914734,
-0.021775534376502037,
-0.009735153056681156,
-0.012652152217924595,
-0.019133388996124268,
-0.007682614028453827,
0.0022597878705710173,
0.023406924679875374,
0.014425404369831085,
0.0022398389410227537,
0.03425922617316246,
0.017989641055464745,
-0.013645173981785774,
0.01402642298489809,
-0.061212655156850815,
-0.01015186682343483,
-0.02003774605691433,
-0.03276969492435455,
0.0003673956380225718,
-0.007296931464225054,
-0.01883193477988243,
0.04674291983246803,
-0.041174910962581635,
-0.005151296965777874,
0.01345011591911316,
0.0015172386774793267,
-0.02870894782245159,
-0.02055198885500431,
-0.061070796102285385,
-0.06688706576824188,
-0.006809287238866091,
0.06731264293193817,
-0.06390799582004547,
0.014859851449728012,
0.008586972020566463,
0.01112715620547533,
-0.013999823480844498,
-0.011251283809542656,
-0.0062063816003501415,
0.00405409699305892,
0.021013034507632256,
0.02108396589756012,
0.024311283603310585,
-0.0157021451741457,
0.05043128505349159,
0.022555764764547348,
-0.02505604922771454,
-0.013671772554516792,
-0.01580854132771492,
-0.02014414221048355,
0.002327393041923642,
0.014602729119360447,
-0.0004679722769651562,
0.022059254348278046,
0.030092084780335426,
-0.036192070692777634,
-0.020108677446842194,
-0.003850173205137253,
0.03936619311571121,
-0.01805170439183712,
-0.0033470129128545523,
-0.024311283603310585,
-0.03241504356265068,
0.014177149161696434,
-0.01726260781288147,
0.003905587363988161,
-0.0002680658071767539,
-0.01662423647940159,
0.011898520402610302,
-0.024417679756879807,
0.009593293070793152,
-0.011703462339937687,
0.017484264448285103,
-0.04865803197026253,
0.021793266758322716,
0.005279857665300369,
-0.018246762454509735,
-0.007611684035509825,
0.03333713486790657,
-0.014762322418391705,
0.019771758466959,
0.027201684191823006,
-0.006361541338264942,
0.005767501890659332,
-0.013077733106911182,
-0.01833542436361313,
-0.002353991847485304,
-0.016961155459284782,
-0.027609532698988914,
0.030145281925797462,
0.005443883594125509,
0.029081331565976143,
0.03957898169755936,
0.001305556739680469,
-0.005492647644132376,
-0.04266444221138954,
-0.017581792548298836,
-0.04071386530995369,
0.0013687288155779243,
-0.002803954528644681,
-0.061212655156850815,
0.009841548278927803,
0.006702892482280731,
0.0017954175127670169,
-0.017856646329164505,
0.02344239130616188,
0.04887082427740097,
0.053694069385528564,
-0.006410305853933096,
0.050785936415195465,
-0.010027739219367504,
0.05387139320373535,
0.043302811682224274,
-0.05511267110705376,
0.014921914786100388,
-0.023158669471740723,
-0.01660650409758091,
-0.033656321465969086,
-0.0016136592021211982,
0.04387025162577629,
0.013512179255485535,
0.022963613271713257,
-0.02067611739039421,
0.00012890710786450654,
0.035518236458301544,
0.0008594730170443654,
0.0021733418107032776,
-0.007704779505729675,
-0.04741675779223442,
0.029701970517635345,
-0.03411736711859703,
-0.046707455068826675,
0.042380720376968384,
0.024825526401400566,
0.006148750893771648,
-0.022999078035354614,
0.027219416573643684,
-0.04731035977602005,
0.0036019179970026016,
0.029684236273169518,
0.05426150932908058,
-0.046707455068826675,
-0.003925536293536425,
0.02003774605691433,
-0.012678750790655613,
0.046565596014261246,
0.04653013125061989,
-0.009575560688972473,
-0.04489873722195625,
-0.020906640216708183,
-0.019275248050689697,
0.0033691786229610443,
0.05833998695015907,
-0.019594434648752213,
-0.04919000715017319,
0.018246762454509735,
-0.02198832295835018,
-0.022484835237264633,
-0.02635052427649498,
-0.06011324003338814,
0.03989816829562187,
0.004113944247364998,
0.014425404369831085,
0.04716850072145462,
0.0031187068670988083,
0.013060000725090504,
0.033017951995134354,
-0.0005449979216791689,
-0.06993705779314041,
0.01833542436361313,
-0.011605934239923954,
0.018353156745433807,
0.05429697409272194,
-0.011357678100466728,
-0.021793266758322716,
0.004142759833484888,
-0.016145458444952965,
0.021580476313829422,
0.005319755990058184,
0.002373941009864211,
0.009238642640411854,
-0.04298362508416176,
0.009513496421277523,
0.013583109714090824
] |
We applied physics-informed neural networks to solve the constitutive
relations for nonlinear, path-dependent material behavior. As a result, the
trained network not only satisfies all thermodynamic constraints but also
instantly provides information about the current material state (i.e., free
energy, stress, and the evolution of internal variables) under any given
loading scenario without requiring initial data. One advantage of this work is
that it bypasses the repetitive Newton iterations needed to solve nonlinear
equations in complex material models. Additionally, strategies are provided to
reduce the required order of derivative for obtaining the tangent operator. The
trained model can be directly used in any finite element package (or other
numerical methods) as a user-defined material model. However, challenges remain
in the proper definition of collocation points and in integrating several
non-equality constraints that become active or non-active simultaneously. We
tested this methodology on rate-independent processes such as the classical von
Mises plasticity model with a nonlinear hardening law, as well as local damage
models for interface cracking behavior with a nonlinear softening law. In order
to demonstrate the applicability of the methodology in handling complex path
dependency in a three-dimensional (3D) scenario, we tested the approach using
the equations governing a damage model for a three-dimensional interface model.
Such models are frequently employed for intergranular fracture at grain
boundaries. We have observed a perfect agreement between the results obtained
through the proposed methodology and those obtained using the classical
approach. Furthermore, the proposed approach requires significantly less effort
in terms of implementation and computing time compared to the traditional
methods. | [
-0.01360202208161354,
0.02096790075302124,
-0.031126488000154495,
-0.03251832351088524,
0.022540494799613953,
0.037669919431209564,
-0.010321268811821938,
0.04912996292114258,
-0.010917769744992256,
0.08755906671285629,
0.042261168360710144,
0.01083642803132534,
0.02013641595840454,
-0.0071534886956214905,
0.02479996532201767,
0.0035970795433968306,
0.002005281625315547,
-0.03457896038889885,
0.004659031517803669,
-0.0604453980922699,
0.04330956190824509,
-0.026950983330607414,
0.0063762301579117775,
-0.019286854192614555,
0.021582478657364845,
0.007280019111931324,
0.02237781137228012,
-0.01018569990992546,
-0.040381286293268204,
0.05523957312107086,
0.08148559927940369,
0.004907573573291302,
-0.051335208117961884,
0.03128917142748833,
0.028613954782485962,
-0.026227952912449837,
0.01534633431583643,
0.008667334914207458,
0.0017262366600334644,
0.052275147289037704,
0.07186929136514664,
-0.04565941169857979,
0.017298517748713493,
-0.014695607125759125,
0.03672998026013374,
0.01324954442679882,
0.0035292955581098795,
-0.001399743021465838,
0.024655360728502274,
0.0072303107008337975,
0.011902899481356144,
-0.04435795545578003,
0.013674325309693813,
0.005395619664341211,
-0.00865829735994339,
-0.0008043720736168325,
0.08842670172452927,
0.06257834285497665,
0.06492818892002106,
-0.030475759878754616,
-0.004279440268874168,
-0.005336873233318329,
-0.07779814302921295,
0.0007258554105646908,
0.015753040090203285,
-0.028433198109269142,
0.03868216276168823,
0.007844887673854828,
0.06254218518733978,
-0.03629615902900696,
-0.08676373213529587,
0.03479586914181709,
-0.020949825644493103,
0.008617626503109932,
0.012020391412079334,
0.017181025817990303,
0.005056698806583881,
0.05932470038533211,
0.0792442038655281,
0.010239928029477596,
0.022956237196922302,
0.0825701504945755,
0.004731334745883942,
-0.019865278154611588,
0.005119964014738798,
0.022630872204899788,
0.007334246765822172,
-0.05202208459377289,
0.05581799894571304,
-0.03121686726808548,
-0.042261168360710144,
0.016982192173600197,
0.014659455046057701,
-0.06149379536509514,
0.03439820557832718,
0.0604453980922699,
0.046201687306165695,
0.013692401349544525,
-0.03510315716266632,
0.007646053563803434,
-0.03197604790329933,
0.0005515936063602567,
0.024546904489398003,
0.047141626477241516,
-0.015472864732146263,
-0.055094968527555466,
-0.04193580150604248,
0.059577759355306625,
0.005617047660052776,
0.14807677268981934,
-0.005142558366060257,
-0.004250067286193371,
-0.002449267776682973,
0.04631014168262482,
0.009205089882016182,
-0.009598237462341785,
-0.006353635806590319,
-0.05093754082918167,
0.06048154830932617,
-0.04967223480343819,
0.027167892083525658,
0.044538713991642,
-0.005002471152693033,
0.028812788426876068,
-0.018464406952261925,
0.04905765876173973,
-0.04678010940551758,
-0.04880459979176521,
-0.0033688729163259268,
0.020461779087781906,
-0.03434397652745247,
-0.037959132343530655,
-0.004121277015656233,
-0.03752531483769417,
0.019124172627925873,
-0.013529718853533268,
0.0040851254016160965,
-0.014316015876829624,
-0.0019160324009135365,
-0.027945151552557945,
0.006371711380779743,
-0.013909310102462769,
0.012210187502205372,
-0.026770226657390594,
-0.0004315591650083661,
0.027728242799639702,
-0.03882676735520363,
0.017705224454402924,
0.033132899552583694,
-0.02610142156481743,
-0.08285935968160629,
0.046382442116737366,
-0.04631014168262482,
0.005237456411123276,
0.027927076444029808,
-0.018744580447673798,
-0.033819779753685,
-0.0024989761877804995,
0.007270981092005968,
-0.0242034662514925,
0.030114244669675827,
0.00389533000998199,
-0.01354779489338398,
0.00971573032438755,
0.01107141375541687,
0.03604310005903244,
0.04576786607503891,
-0.013665287755429745,
-0.0022639911621809006,
0.03340403735637665,
0.03788682818412781,
-0.016566449776291847,
0.008576956577599049,
0.00977899506688118,
-0.019395308569073677,
0.02161862887442112,
0.05205823853611946,
0.0047177779488265514,
0.0346512645483017,
0.03573581203818321,
-0.02179938741028309,
-0.022630872204899788,
0.06890486180782318,
0.0420442558825016,
0.042658835649490356,
0.060698460787534714,
0.008626664988696575,
-0.006688037421554327,
0.016819510608911514,
-0.00021422619465738535,
0.019811050966382027,
-0.0042907376773655415,
0.024474602192640305,
0.006489203777164221,
0.035012781620025635,
-0.06753110140562057,
-0.0027384802233427763,
-0.03674805536866188,
0.0017217177664861083,
0.046273987740278244,
-0.04645474627614021,
-0.07320689409971237,
-0.005296202842146158,
0.025251859799027443,
-0.0373445563018322,
0.03316904976963997,
-0.0002818691427819431,
-0.027999378740787506,
0.05314278602600098,
-0.04547865688800812,
-0.014370243065059185,
-0.01990143023431301,
-0.056685637682676315,
-0.05617951601743698,
-0.0723392590880394,
-0.013755666092038155,
-0.014306977391242981,
0.004546057898551226,
-0.010953920893371105,
-0.03226526081562042,
-0.04725008085370064,
0.03577196225523949,
0.061168428510427475,
-0.008581475354731083,
0.020281022414565086,
-0.00783133041113615,
0.004351743496954441,
-0.007731913588941097,
0.025956815108656883,
0.04865999147295952,
0.03116264007985592,
-0.0004304294416215271,
0.04399644210934639,
-0.003131628269329667,
-0.08683603256940842,
-0.024420375004410744,
-0.03051191195845604,
-0.07678589969873428,
-0.02273932844400406,
-0.0036106365732848644,
-0.011432928964495659,
-0.01142389141023159,
-0.007781622000038624,
0.011179868131875992,
0.005323316436260939,
-0.03275330737233162,
-0.0121378842741251,
0.02686060406267643,
0.0562879703938961,
-0.014460621401667595,
-0.044611018151044846,
-0.05455269664525986,
0.05740866810083389,
0.024474602192640305,
-0.023173145949840546,
0.0029508706647902727,
-0.007239348720759153,
0.007257424294948578,
0.03085535205900669,
0.03233756497502327,
0.007433663122355938,
0.03604310005903244,
0.0169098898768425,
0.042622681707143784,
0.003122590482234955,
0.03405476361513138,
-0.021510174497961998,
0.03604310005903244,
0.0071399318985641,
0.009724767878651619,
0.030819199979305267,
0.00839619804173708,
0.02951774373650551,
-0.0731707438826561,
-0.032247185707092285,
-0.07226695865392685,
0.013394150882959366,
0.003942778799682856,
0.042550377547740936,
-0.0033507971093058586,
0.024311920627951622,
0.018744580447673798,
0.01654837466776371,
-0.04576786607503891,
0.024781890213489532,
-0.06185530871152878,
-0.044032592326402664,
-0.015409599989652634,
-0.031054185703396797,
-0.014053916558623314,
-0.013972575776278973,
0.006177396979182959,
-0.04175504669547081,
0.021510174497961998,
0.025721831247210503,
0.0174250490963459,
-0.040959712117910385,
-0.08538997173309326,
0.04128507524728775,
0.03470549359917641,
-0.010818352922797203,
0.019051868468523026,
0.03203027695417404,
-0.00447601405903697,
-0.0174973513931036,
0.02266702428460121,
0.024890344589948654,
0.050973691046237946,
0.04074279963970184,
-0.004654512740671635,
0.03282561153173447,
0.02610142156481743,
-0.006439495366066694,
-0.029174303635954857,
-0.03723610192537308,
0.003050287486985326,
0.018744580447673798,
-0.0166658665984869,
0.017515428364276886,
-0.01101718656718731,
0.033711325377225876,
0.030439607799053192,
-0.03911598026752472,
0.023661192506551743,
0.02472766302525997,
-0.021329417824745178,
0.004509906284511089,
0.030783047899603844,
-0.003416321938857436,
-0.03555505350232124,
-0.0037868754006922245,
-0.03362094610929489,
-0.012535551562905312,
0.010411647148430347,
-0.05943315476179123,
-0.018762657418847084,
-0.06774801015853882,
-0.04576786607503891,
-0.040200527757406235,
-0.04406874626874924,
0.0032784941140562296,
-0.04800926521420479,
0.017406973987817764,
-0.013150127604603767,
0.0021013091318309307,
-0.06236143037676811,
-0.02991541102528572,
-0.010791239328682423,
-0.036205779761075974,
-0.00643497658893466,
0.0009602756472304463,
0.02266702428460121,
-0.016096480190753937,
-0.008341970853507519,
0.03392823413014412,
-0.03947749733924866,
0.03781452402472496,
-0.005788767710328102,
-0.008441387675702572,
0.03486817330121994,
0.024944571778178215,
-0.013855082914233208,
0.0020064113195985556,
0.007546636741608381,
-0.0746891126036644,
-0.0028378970455378294,
-0.04569556564092636,
-0.04327341169118881,
0.04005592316389084,
0.026246028020977974,
0.02745710499584675,
0.06420516222715378,
0.036964964121580124,
-0.019594142213463783,
0.006353635806590319,
0.010447799228131771,
0.032771382480859756,
0.0270413625985384,
-0.07237540930509567,
0.027222121134400368,
-0.031361471861600876,
0.006859757471829653,
0.03009616956114769,
-0.001138209132477641,
0.011911937035620213,
-0.01690085232257843,
-0.03656729683279991,
0.013132051564753056,
0.00998686719685793,
0.009851298294961452,
-0.012598816305398941,
-0.05824015289545059,
-0.02863203175365925,
-0.06622964888811111,
0.0428757444024086,
-0.04164658859372139,
-0.0059243361465632915,
-0.035085082054138184,
0.028125908225774765,
0.03004194237291813,
-0.06037309393286705,
-0.020516006276011467,
-0.04283959046006203,
-0.014677531085908413,
0.026535240933299065,
0.03564543277025223,
-0.019069945439696312,
-0.03635038807988167,
-0.002880827058106661,
0.03186759352684021,
-0.01879880763590336,
0.019413383677601814,
0.053395844995975494,
-0.024131162092089653,
0.016268199309706688,
-0.028939319774508476,
-0.05730021372437477,
0.009860336780548096,
-0.002221061149612069,
-0.016177820041775703,
0.006719670258462429,
0.004772005137056112,
-0.0025983930099755526,
-0.02790899947285652,
-0.0029983194544911385,
0.039188284426927567,
-0.03752531483769417,
0.0012088175863027573,
-0.020750992000102997,
0.01589764654636383,
0.006502760574221611,
0.0012641747016459703,
0.03275330737233162,
0.0044353436678647995,
0.006859757471829653,
-0.0027475180104374886,
0.012418058700859547,
-0.014560038223862648,
-0.02156440168619156,
0.02085944637656212,
-0.018057702109217644,
-0.014270826242864132,
0.019304929301142693,
0.005061217583715916,
0.007596345152705908,
-0.019124172627925873,
-0.03904367983341217,
-0.03452473506331444,
0.015210766345262527,
-0.06807337701320648,
-0.053215086460113525,
-0.030403457581996918,
-0.020407551899552345,
-0.044032592326402664,
0.024836117401719093,
-0.011658876203000546,
0.008780308999121189,
-0.036603447049856186,
0.018355950713157654,
-0.020407551899552345,
0.010330306366086006,
0.06333751976490021,
0.028885092586278915,
-0.024836117401719093,
0.02443845011293888,
-0.023010464385151863,
-0.0018053182866424322,
0.02727634832262993,
0.00743818236514926,
0.07259231805801392,
0.05343199521303177,
0.009263835847377777,
0.007686724420636892,
0.024402299895882607,
0.021311340853571892,
-0.022811630740761757,
-0.022359736263751984,
-0.0539381168782711,
0.008513690903782845,
-0.045731715857982635,
0.023136993870139122,
-0.01248132437467575,
0.037778373807668686,
-0.036079250276088715,
-0.05737251788377762,
0.0010184571146965027,
0.0234442837536335,
0.02745710499584675,
0.04298419877886772,
-0.02555914781987667,
-0.004322370048612356,
-0.02425769343972206,
-0.04464716836810112,
-0.02657139301300049,
0.016566449776291847,
-0.018834959715604782,
0.031777214258909225,
0.007637016009539366,
0.05354045331478119,
0.01879880763590336,
0.04421335086226463,
-0.04396028816699982,
0.007234829943627119,
-0.011966164223849773,
0.005251013208180666,
0.0381760410964489,
0.04446640983223915,
0.0010512194130569696,
-0.011234095320105553,
0.01790405623614788,
-0.01174925547093153,
-0.00560800964012742,
0.009995904751121998,
-0.022413963451981544,
0.045080989599227905,
0.011261208914220333,
0.004527982324361801,
-0.043020348995923996,
-0.005680312868207693,
0.05296202749013901,
0.03864601254463196,
0.0014912516344338655,
0.007881038822233677,
0.014062954112887383,
-0.0485515370965004,
0.06716958433389664,
0.028668181970715523,
-0.04399644210934639,
0.031108412891626358,
0.030529987066984177,
0.020714839920401573,
0.05194978415966034,
-0.00895202811807394,
-0.037959132343530655,
-0.01844632998108864,
-0.024546904489398003,
-0.03186759352684021,
0.034488581120967865,
-0.021582478657364845,
-0.0611322782933712,
-0.04743083938956261,
0.03606117516756058,
0.016295313835144043,
0.011414852924644947,
-0.014325053431093693,
-0.007433663122355938,
0.01319531723856926,
-0.03627808392047882,
0.006349116563796997,
-0.03606117516756058,
-0.0242757685482502,
0.022178977727890015,
0.03468741476535797,
0.021220961585640907,
-0.01872650533914566,
0.008274187333881855,
-0.0023362941574305296,
-0.017741374671459198,
0.0305661391466856,
-0.020299097523093224,
0.027818620204925537,
0.01684662513434887,
-0.06185530871152878,
-0.04240577295422554,
-0.02827051468193531,
-0.022757403552532196,
0.0006733227055519819,
0.020461779087781906,
0.015490940771996975,
-0.001855026581324637,
-0.0053775436244904995,
-0.026770226657390594,
-0.027005210518836975,
0.04659935459494591,
0.035338144749403,
0.05361275374889374,
0.0029960600659251213,
-0.010050131939351559,
0.0021645743399858475,
0.006412381771951914,
0.019268779084086418,
-0.029174303635954857,
-0.00006591303827008232,
0.040019769221544266,
-0.011206981725990772,
0.04146583378314972,
-0.010881617665290833,
-0.03278946131467819,
0.016268199309706688,
-0.017867906019091606,
-0.003314645728096366,
0.05307048186659813,
-0.0017104203579947352,
0.006380749400705099,
0.01080931443721056,
-0.012255377136170864,
-0.008256111294031143,
-0.008405236527323723,
0.02633640728890896,
-0.04652705043554306,
-0.011152754537761211,
0.003574484959244728,
0.027710165828466415,
-0.01732563227415085,
-0.011116602458059788,
0.025306086987257004,
0.03510315716266632,
0.006190953776240349,
-0.01872650533914566,
-0.03445243090391159,
0.014216599054634571,
0.023950405418872833,
0.014207560569047928,
-0.02292008511722088,
0.036494992673397064,
0.017054496333003044,
0.03197604790329933,
0.027077514678239822,
-0.034127067774534225,
0.0023295157589018345,
0.010926807299256325,
-0.0058249193243682384,
0.043490320444107056,
-0.01315916609019041,
0.013611060567200184,
-0.03193989768624306,
-0.015093273483216763,
-0.023353904485702515,
-0.006163840182125568,
-0.016891812905669212,
-0.013348961248993874,
-0.03569965809583664,
-0.029065849259495735,
0.01997373439371586,
0.05404657498002052,
0.024113086983561516,
-0.022178977727890015,
0.03629615902900696,
-0.03269908204674721,
0.04934687167406082,
0.03315097466111183,
-0.003737166989594698,
-0.02404078282415867,
0.024709587916731834,
0.007822292856872082,
0.03452473506331444,
-0.022468190640211105,
-0.03385592997074127,
0.051515962928533554,
0.04725008085370064,
0.006805530283600092,
-0.02198014408349991,
-0.013150127604603767,
0.047141626477241516,
0.004907573573291302,
-0.024583056569099426,
0.029065849259495735,
-0.017705224454402924,
-0.02933698706328869,
0.0005823789397254586,
0.003066103672608733,
-0.005287164822220802,
0.0014923813287168741,
0.013068786822259426,
-0.006471128202974796,
-0.03463318943977356,
0.05252820625901222,
0.011288322508335114,
0.028071681037545204,
0.012653043493628502,
0.0058249193243682384,
-0.024492677301168442,
-0.019467612728476524,
0.03452473506331444,
0.01351164374500513,
-0.027402877807617188,
0.022883933037519455,
0.03015039674937725,
0.07555674761533737,
-0.027674013748764992,
-0.05252820625901222,
-0.027059437707066536,
-0.01284283958375454,
-0.032373715192079544,
-0.027294423431158066,
-0.0025645007845014334,
-0.014496773481369019,
-0.010203775949776173,
-0.005119964014738798,
0.022956237196922302,
0.0036693827714771032,
-0.03868216276168823,
0.03638653829693794,
0.014695607125759125,
0.04334571212530136,
-0.017885981127619743,
0.05730021372437477,
-0.013981613330543041,
0.025161482393741608,
0.039260588586330414,
-0.002788188634440303,
-0.00027353735640645027,
-0.0005253272829577327,
-0.014379280619323254,
0.07526753842830658,
0.049925297498703,
0.007365879137068987,
-0.01972067356109619,
-0.010574329644441605,
-0.010673746466636658,
0.023136993870139122,
0.011740216985344887,
0.028071681037545204,
0.02120288647711277,
0.028613954782485962,
0.04576786607503891,
-0.008689929731190205,
0.018455367535352707,
-0.004180023446679115,
-0.023173145949840546,
-0.008351009339094162,
-0.0008580345311202109,
-0.025233784690499306,
-0.051515962928533554,
-0.010285116732120514,
0.009069520980119705,
-0.012815725989639759,
-0.011695027351379395,
-0.015635546296834946,
0.012915142811834812,
-0.00678745424374938,
-0.028812788426876068,
0.023480433970689774,
-0.003560928162187338,
0.0008162343292497098,
-0.017813678830862045,
0.030837275087833405,
0.03653114661574364,
0.02355273813009262,
0.014659455046057701,
0.0050386227667331696,
-0.0034954033326357603,
0.023353904485702515,
0.007885557599365711,
0.005169672425836325,
0.022703176364302635,
-0.015066159889101982,
0.013258582912385464,
-0.012255377136170864,
0.0032084505073726177,
0.024926496669650078,
-0.07248386740684509,
0.055854152888059616,
-0.04959993064403534,
-0.03828449547290802,
-0.004119017627090216,
0.034723568707704544,
-0.0515882670879364,
-0.01908802054822445,
0.008495614863932133,
-0.014081030152738094,
0.06019233912229538,
-0.02154632657766342,
0.03915213420987129,
0.07186929136514664,
-0.02060638554394245,
-0.016105517745018005,
-0.04280344024300575,
0.02085944637656212,
-0.04276729002594948,
-0.015644585713744164,
0.038899071514606476,
0.06171070411801338,
-0.003655825974419713,
0.008143137209117413,
-0.018744580447673798,
-0.022829705849289894,
0.03109033592045307,
0.028903167694807053,
0.04298419877886772,
-0.010764124803245068,
0.01709064655005932,
0.0018651942955330014,
-0.0021114766132086515,
0.012083657085895538,
0.015165576711297035,
-0.015219803899526596,
-0.021745160222053528,
-0.005169672425836325,
0.004299775697290897,
-0.0016494146548211575,
0.029427364468574524,
0.013656249269843102,
0.017289480194449425,
0.04678010940551758,
0.028830863535404205,
-0.03850140422582626,
0.02568567916750908,
-0.01854574680328369,
-0.03492240235209465,
-0.010971996933221817,
0.008400717750191689,
0.014514848589897156,
-0.0249626487493515,
0.003825286403298378,
0.018816884607076645,
-0.04941917583346367,
-0.02055215835571289,
-0.03233756497502327,
-0.027601711452007294,
-0.008319376036524773,
-0.04345416650176048,
0.01324954442679882,
-0.01254458911716938,
0.0009789163013920188,
0.00011954020010307431,
0.011966164223849773,
0.019955657422542572,
0.005870108492672443,
0.021835539489984512,
-0.027348650619387627,
-0.05625181645154953,
0.005711945705115795,
-0.010999110527336597,
-0.03363902121782303,
-0.016801435500383377,
0.017895018681883812,
0.006556988228112459,
0.05932470038533211,
0.03492240235209465,
0.010646632872521877,
0.05693869665265083,
-0.04446640983223915,
0.022269356995821,
-0.045550957322120667,
0.03875446692109108,
0.011297360993921757,
0.07042323052883148,
-0.050033751875162125,
0.03598887100815773,
-0.004509906284511089,
-0.005856551695615053,
0.026191800832748413,
-0.014343129470944405,
-0.014062954112887383,
0.029770804569125175,
0.0010331436060369015,
0.0010393571574240923,
-0.01607840321958065,
-0.005291683599352837,
0.016467032954096794,
0.025414543226361275,
0.002736220834776759,
0.0011297360761091113,
-0.027366725727915764,
-0.010547216050326824,
-0.00236340775154531,
0.0014867326244711876,
-0.015771115198731422,
-0.03320520371198654,
0.037199947983026505,
-0.02073291689157486,
0.05379351228475571,
-0.016168782487511635,
0.03226526081562042,
-0.04819002002477646,
0.018762657418847084,
-0.05267281457781792,
-0.009580161422491074,
-0.0564325749874115,
0.02702328749001026,
-0.01614166982471943,
0.017298517748713493,
0.017759451642632484,
0.01990143023431301,
-0.032066427171230316,
-0.016394730657339096,
-0.015861494466662407,
0.009182495065033436,
0.030602291226387024,
-0.0006665443070232868,
-0.018301723524928093,
0.029770804569125175,
-0.001529662637040019,
0.030493834987282753,
0.01678335852921009,
0.01826557330787182,
-0.019214551895856857,
-0.032012201845645905,
-0.02816206030547619,
-0.037019193172454834,
0.05194978415966034,
-0.029355062171816826,
-0.032066427171230316,
0.019341081380844116,
0.029300834983587265,
-0.030313078314065933,
0.008206402882933617,
-0.015490940771996975,
-0.007835849188268185,
0.005187748000025749,
-0.015472864732146263,
-0.021835539489984512,
-0.06810952723026276,
-0.03432590141892433,
-0.01589764654636383,
0.03723610192537308,
-0.017650995403528214,
0.02639063447713852,
0.0038591783959418535,
-0.044502563774585724,
0.0021905582398176193,
-0.032590627670288086,
-0.03139762580394745,
-0.04280344024300575,
0.07432759553194046,
-0.06771185994148254,
0.012906105257570744,
0.025866437703371048,
0.027999378740787506,
0.0011771849822252989,
-0.01979297585785389,
0.010348382405936718,
0.017714262008666992,
-0.035663507878780365,
0.048406932502985,
0.02373349480330944,
-0.009069520980119705,
0.02172708325088024,
0.0043788570910692215,
-0.02198014408349991,
0.03190374746918678,
0.026137573644518852,
0.04258653149008751,
0.0684710443019867,
0.03682035952806473,
-0.015861494466662407,
-0.03611540421843529,
-0.004351743496954441,
-0.007862962782382965,
-0.043671078979969025,
0.005793286487460136,
-0.0003479587030597031,
0.0021385904401540756,
0.01186674740165472,
-0.0564325749874115,
0.04941917583346367,
0.004460197873413563,
0.010203775949776173,
0.06810952723026276,
-0.00444890046492219,
0.0011122251162305474,
0.015463827177882195,
-0.02751133218407631,
-0.0540827251970768,
0.0053323544561862946,
-0.02255856990814209,
-0.044972531497478485,
-0.012246338650584221,
0.03398245945572853,
0.018419217318296432,
-0.0009212997392751276,
-0.05589030310511589,
-0.023227373138070107,
0.016629714518785477,
0.05205823853611946,
-0.04041743651032448,
-0.08069027215242386,
-0.025595299899578094,
0.009462669491767883,
-0.026137573644518852,
-0.013113976456224918,
0.045550957322120667,
0.021184811368584633,
0.03150608018040657,
0.006665442604571581,
-0.02892124280333519,
-0.052383601665496826,
-0.012409021146595478,
0.022703176364302635,
0.04175504669547081,
0.013376074843108654,
0.0005558301345445216,
-0.023841949179768562,
0.002607430797070265,
0.020154491066932678,
-0.018283648416399956,
0.0009704433032311499,
-0.041610438376665115,
0.005612528882920742,
0.00936325266957283,
0.0068145678378641605,
0.01154138334095478,
-0.03217488154768944,
-0.010520102456212044,
-0.0005422733374871314,
0.007650572806596756,
-0.0034276191145181656,
0.04164658859372139,
0.03763376921415329,
-0.006335559766739607,
0.014243712648749352,
-0.02268509939312935,
0.050214510411024094,
0.029481591656804085,
0.00933613907545805,
0.022359736263751984,
-0.010357419960200787,
-0.031307246536016464,
-0.012851877138018608,
-0.02002796158194542,
-0.041321225464344025,
0.03944134712219238,
-0.01172214187681675,
-0.06207221746444702,
-0.02391425333917141,
-0.009051444940268993,
-0.008708005771040916,
-0.012372869066894054,
-0.043381866067647934,
0.043020348995923996,
-0.018392102792859077,
0.04457486793398857,
-0.022160902619361877
] |
Sleep abnormalities can have severe health consequences. Automated sleep
staging, i.e. labelling the sequence of sleep stages from the patient's
physiological recordings, could simplify the diagnostic process. Previous work
on automated sleep staging has achieved great results, mainly relying on the
EEG signal. However, often multiple sources of information are available beyond
EEG. This can be particularly beneficial when the EEG recordings are noisy or
even missing completely. In this paper, we propose CoRe-Sleep, a Coordinated
Representation multimodal fusion network that is particularly focused on
improving the robustness of signal analysis on imperfect data. We demonstrate
how appropriately handling multimodal information can be the key to achieving
such robustness. CoRe-Sleep tolerates noisy or missing modalities segments,
allowing training on incomplete data. Additionally, it shows state-of-the-art
performance when testing on both multimodal and unimodal data using a single
model on SHHS-1, the largest publicly available study that includes sleep stage
labels. The results indicate that training the model on multimodal data does
positively influence performance when tested on unimodal data. This work aims
at bridging the gap between automated analysis tools and their clinical
utility. | [
0.03326205909252167,
0.021013345569372177,
-0.028943251818418503,
-0.023390503600239754,
0.05004733055830002,
-0.05835830792784691,
0.009172923862934113,
0.02124924585223198,
-0.01872691884636879,
0.021303685382008553,
0.012185200117528439,
-0.038905538618564606,
0.044712334871292114,
-0.043369513005018234,
-0.03627433255314827,
-0.009426971897482872,
0.0093180937692523,
-0.03974026441574097,
-0.02417079173028469,
-0.012920122593641281,
-0.014544211328029633,
0.022301727905869484,
-0.021267393603920937,
-0.0275459922850132,
0.029088422656059265,
0.041845228523015976,
0.04914001747965813,
0.017483901232481003,
-0.07022594660520554,
0.038832951337099075,
-0.02527771145105362,
0.007163228001445532,
-0.01947091519832611,
0.008800926618278027,
-0.009762677364051342,
-0.0525515116751194,
0.01627717725932598,
0.03130226209759712,
0.029324322938919067,
0.01872691884636879,
0.023027578368782997,
-0.015079525299370289,
-0.020269349217414856,
-0.01087867096066475,
-0.011413984932005405,
-0.028852520510554314,
-0.07911760360002518,
0.034550439566373825,
0.020269349217414856,
0.008406245149672031,
-0.004566047340631485,
0.0036315161269158125,
0.0006787827587686479,
-0.043042879551649094,
-0.009227362461388111,
0.045801110565662384,
0.07044370472431183,
0.026384633034467697,
0.08586800843477249,
0.02946949377655983,
0.009671946056187153,
0.04667212814092636,
-0.022138413041830063,
0.0032867377158254385,
-0.03905070945620537,
-0.08470664918422699,
0.03678242862224579,
-0.020341934636235237,
-0.005552749149501324,
-0.013319339603185654,
-0.0854324996471405,
-0.035729944705963135,
0.04090162366628647,
0.05621705204248428,
0.0007938980124890804,
-0.005638943985104561,
0.01754741370677948,
0.09290874749422073,
0.037145353853702545,
0.011513789184391499,
0.01803736202418804,
0.04391390085220337,
-0.01720263436436653,
0.047071345150470734,
0.04805124178528786,
-0.07781107723712921,
0.0031801285222172737,
-0.04532930627465248,
-0.03540331497788429,
0.04057499021291733,
-0.014807331375777721,
0.07672230154275894,
-0.00371544249355793,
0.008356343023478985,
-0.0029487640131264925,
-0.05636221915483475,
0.024533716961741447,
-0.007821029052138329,
-0.06950009614229202,
-0.031447432935237885,
-0.03839744254946709,
0.010524818673729897,
0.016476785764098167,
0.009844334796071053,
0.06496353447437286,
-0.010053017176687717,
0.022646507248282433,
0.03694574534893036,
0.01803736202418804,
0.11374063044786453,
-0.016014056280255318,
-0.025459174066781998,
0.0008506049634888768,
-0.03534887358546257,
-0.024043766781687737,
-0.014644015580415726,
-0.058648645877838135,
-0.03692759945988655,
0.02310016378760338,
-0.008664829656481743,
0.022519484162330627,
0.05832201614975929,
-0.06028180941939354,
0.028671057894825935,
-0.05745099484920502,
0.08122257143259048,
0.0068003032356500626,
-0.007621420547366142,
-0.00843800138682127,
0.056797731667757034,
-0.0019291720818728209,
-0.01999715529382229,
-0.046889882534742355,
-0.02542288228869438,
-0.005434799008071423,
-0.0032254941761493683,
-0.006423769053071737,
0.02694716677069664,
-0.022936847060918808,
-0.03716349974274635,
-0.013228608295321465,
0.008061466738581657,
-0.014644015580415726,
0.016631029546260834,
0.00557996891438961,
-0.020196765661239624,
0.010506672784686089,
0.07214944809675217,
-0.04812382906675339,
0.004057952668517828,
-0.06685074418783188,
0.05077317729592323,
0.01722078211605549,
0.038832951337099075,
-0.01720263436436653,
0.009962285868823528,
0.0488496758043766,
-0.037816762924194336,
-0.04013948142528534,
-0.08514215797185898,
0.06750401109457016,
-0.059664834290742874,
0.053930625319480896,
-0.0216484647244215,
0.04986586794257164,
0.004216732457280159,
-0.00209475657902658,
0.019017258659005165,
-0.02578580752015114,
0.034623026847839355,
-0.0703711211681366,
0.03685501217842102,
0.02023305743932724,
0.0023476697970181704,
0.04064757749438286,
0.050410252064466476,
0.03886924684047699,
-0.010506672784686089,
-0.07429070770740509,
0.05491052195429802,
-0.04373243823647499,
0.028925105929374695,
-0.010007651522755623,
-0.02317274734377861,
0.08107739686965942,
-0.01606849581003189,
0.03850632160902023,
0.01271144114434719,
0.03153816610574722,
-0.006909180898219347,
0.022918701171875,
-0.0056162611581385136,
0.07904502004384995,
-0.03785305470228195,
-0.04511155188083649,
-0.014471625909209251,
-0.001249822205863893,
0.02678385004401207,
0.004718022421002388,
0.02618502452969551,
-0.05607188120484352,
-0.05610817298293114,
-0.027219358831644058,
-0.032028112560510635,
-0.04474862664937973,
-0.0001390030374750495,
0.040357235819101334,
-0.017048392444849014,
-0.004184976685792208,
-0.044204238802194595,
-0.040502406656742096,
0.0019722694996744394,
-0.020759297534823418,
-0.00892341323196888,
0.01313787791877985,
-0.046381790190935135,
0.007131472229957581,
-0.02810852602124214,
0.06002775952219963,
0.053349945694208145,
0.004690803121775389,
0.027600429952144623,
0.02349938079714775,
-0.03206440433859825,
-0.010161894373595715,
0.039014413952827454,
-0.03465931862592697,
-0.002082281047478318,
0.011268815025687218,
0.06561680138111115,
-0.017402244731783867,
-0.013573387637734413,
0.04569223150610924,
0.032282158732414246,
0.03868778422474861,
0.008787316270172596,
0.03894183039665222,
-0.0574147030711174,
0.011749690398573875,
-0.05853977054357529,
-0.00974453054368496,
-0.023227186873555183,
-0.03467746451497078,
-0.040248360484838486,
0.04641808196902275,
-0.001178371487185359,
0.007594201248139143,
0.10016724467277527,
-0.010316137224435806,
0.037072766572237015,
-0.012983634136617184,
0.0021412563510239124,
-0.05585412681102753,
0.02250133641064167,
-0.06351184099912643,
0.010942182503640652,
-0.007630493957549334,
-0.011241595260798931,
0.008764633908867836,
0.026239462196826935,
0.04590998589992523,
-0.030159050598740578,
-0.012484612874686718,
0.0439864844083786,
-0.0002611357194837183,
0.005997332278639078,
0.07254866510629654,
0.011241595260798931,
0.06877424567937851,
-0.053858038038015366,
0.04122825711965561,
0.00031954393489286304,
-0.03344351798295975,
0.0217573419213295,
0.00998950470238924,
-0.018781358376145363,
0.06884683668613434,
-0.051499027758836746,
0.010470380075275898,
0.031610749661922455,
-0.017574632540345192,
0.001582125318236649,
0.04718022421002388,
0.008038784377276897,
-0.05868493765592575,
0.013237682171165943,
0.04061128571629524,
-0.038905538618564606,
-0.04500267282128334,
-0.014761965721845627,
0.024334106594324112,
-0.031937383115291595,
-0.03574809059500694,
-0.010497599840164185,
0.03894183039665222,
-0.024987371638417244,
-0.009141168557107449,
-0.00675947405397892,
0.019271306693553925,
0.0024769618175923824,
-0.0003243640239816159,
0.03861519694328308,
0.050083622336387634,
-0.006147038657218218,
-0.01280217245221138,
0.03738125413656235,
0.03944992646574974,
0.04253478720784187,
-0.03847002983093262,
0.008614927530288696,
-0.01166803203523159,
0.012874756939709187,
-0.004414072725921869,
-0.008129515685141087,
-0.047470562160015106,
0.08848106116056442,
-0.017347805202007294,
-0.028562180697917938,
0.0054484084248542786,
-0.02669311873614788,
0.0014902598923072219,
0.003509029047563672,
-0.07788366079330444,
0.05102722719311714,
-0.006478207651525736,
-0.029197299852967262,
0.01175876334309578,
0.03415122255682945,
0.021557733416557312,
0.021557733416557312,
-0.020850028842687607,
0.005466554779559374,
0.011840421706438065,
0.00782556552439928,
0.03594769909977913,
0.00012028971832478419,
-0.012666075490415096,
0.007576054893434048,
-0.0063375742174685,
-0.02896139770746231,
0.02945134788751602,
-0.05639851465821266,
-0.060644734650850296,
0.0008182820165529847,
0.0029555687215179205,
0.003343444550409913,
-0.062350478023290634,
-0.007489860523492098,
0.013391925022006035,
-0.02551361359655857,
0.0008999400888569653,
-0.004885875154286623,
-0.005248799920082092,
0.012203346006572247,
-0.0361110158264637,
-0.001181773841381073,
-0.02444298565387726,
-0.03315318003296852,
-0.029777979478240013,
0.001413138466887176,
0.01297456119209528,
-0.09552180767059326,
-0.035149265080690384,
-0.02275538444519043,
-0.04634549468755722,
0.0039377338252961636,
-0.022610215470194817,
-0.029197299852967262,
0.014825478196144104,
0.05211599916219711,
0.013609679415822029,
0.029741687700152397,
-0.011813201941549778,
-0.007780200336128473,
-0.02618502452969551,
-0.0062922085635364056,
-0.007870931178331375,
0.020632274448871613,
0.026638679206371307,
0.049067433923482895,
-0.04511155188083649,
0.013582460582256317,
-0.03551219031214714,
-0.004958460107445717,
-0.003445517271757126,
0.05523715540766716,
0.014408114366233349,
0.002192292595282197,
-0.001984745031222701,
0.017982924357056618,
-0.004298390354961157,
-0.05599929392337799,
0.027146775275468826,
-0.020468957722187042,
0.07214944809675217,
0.020360080525279045,
0.017347805202007294,
0.02863476611673832,
0.048305291682481766,
0.0061243558302521706,
-0.07606903463602066,
-0.016231810674071312,
-0.025495465844869614,
0.022809823974967003,
-0.042099274694919586,
-0.03641950339078903,
-0.01854545623064041,
0.007576054893434048,
0.015986837446689606,
0.03525814414024353,
-0.041591182351112366,
0.021031491458415985,
-0.015986837446689606,
-0.02821740321815014,
-0.024969225749373436,
-0.005970112979412079,
-0.014979721046984196,
-0.004316536709666252,
-0.002867105882614851,
-0.00682298606261611,
-0.05516456812620163,
0.016885075718164444,
0.04188152030110359,
0.012148907408118248,
0.012911049649119377,
0.019180575385689735,
-0.03190108761191368,
-0.012992708012461662,
0.07247608155012131,
-0.068048395216465,
0.04434940963983536,
-0.026910873129963875,
0.02896139770746231,
-0.03627433255314827,
0.015161183662712574,
-0.02273723855614662,
0.02928803116083145,
-0.028253694996237755,
-0.03814339637756348,
-0.0173659510910511,
-0.008020637556910515,
0.007117862347513437,
-0.022791676223278046,
-0.048486754298210144,
-0.021448856219649315,
-0.028362572193145752,
-0.005316848400980234,
0.03072158433496952,
0.010951255448162556,
0.010388722643256187,
-0.06329408288002014,
0.044458288699388504,
-0.037308670580387115,
0.03159260377287865,
0.010352429933845997,
0.0020040252711623907,
0.004561510868370533,
-0.013918166048824787,
0.04199039936065674,
-0.030104611068964005,
0.02694716677069664,
0.04086533188819885,
0.03828856721520424,
-0.016603808850049973,
0.02761857770383358,
0.0007593067130073905,
-0.08085964620113373,
-0.030703438445925713,
0.011169010773301125,
0.03828856721520424,
-0.03373385965824127,
-0.00554367620497942,
-0.020795591175556183,
-0.004953923635184765,
-0.01780146174132824,
0.011286960914731026,
0.0012997244484722614,
-0.0587938167154789,
0.054184671491384506,
-0.01965237781405449,
0.02921544574201107,
-0.020704859867691994,
-0.009141168557107449,
0.06351184099912643,
-0.0335705429315567,
0.025640636682510376,
-0.004985679406672716,
0.01907169818878174,
-0.01653122343122959,
0.012747732922434807,
0.018536383286118507,
-0.02335420995950699,
0.065290167927742,
-0.0002795655163936317,
0.02444298565387726,
0.0036859549582004547,
0.00728117860853672,
-0.0116317393258214,
0.05719694867730141,
0.02409820631146431,
-0.02041452005505562,
-0.05491052195429802,
0.022973138839006424,
0.047071345150470734,
-0.030830461531877518,
-0.01472567394375801,
0.004699876066297293,
-0.007889077998697758,
-0.020106034353375435,
0.03876036778092384,
0.05465647578239441,
0.053023312240839005,
0.009472337551414967,
-0.045293014496564865,
0.003298079129308462,
0.03460488095879555,
-0.03159260377287865,
0.012593490071594715,
0.04053869843482971,
0.015896106138825417,
0.01506137941032648,
0.03382458910346031,
-0.03257250040769577,
0.08013379573822021,
-0.0773029774427414,
-0.00493577728047967,
0.008601317182183266,
0.011268815025687218,
0.029941296204924583,
-0.05636221915483475,
-0.016077568754553795,
-0.008596780709922314,
-0.01914428360760212,
0.00587938167154789,
0.01149564329534769,
-0.022973138839006424,
-0.00022782037558499724,
0.03389717638492584,
-0.033951614052057266,
-0.050337668508291245,
0.004917630925774574,
0.058394599705934525,
-0.010887743905186653,
-0.009254582226276398,
-0.025622490793466568,
0.00807961355894804,
0.06409251689910889,
-0.04195410758256912,
-0.022102119401097298,
0.004389121662825346,
-0.01997900940477848,
-0.02486034855246544,
-0.00044685116154141724,
-0.003268591361120343,
-0.01796477660536766,
-0.010053017176687717,
0.0010360368760302663,
0.004568316042423248,
-0.008696584962308407,
-0.06137058138847351,
0.007226740010082722,
-0.020523397251963615,
0.02268279902637005,
-0.004402731545269489,
-0.00673679169267416,
-0.019870132207870483,
0.04010318964719772,
0.029650956392288208,
0.011277887970209122,
0.008111368864774704,
-0.038905538618564606,
-0.03318947181105614,
-0.019688669592142105,
-0.004305195529013872,
-0.0006946607609279454,
0.02678385004401207,
0.05774133652448654,
-0.03073973022401333,
0.0036859549582004547,
0.013564313761889935,
-0.01638605445623398,
0.006519036833196878,
0.0537128709256649,
0.02157587930560112,
-0.009372532367706299,
-0.009277264587581158,
-0.03023163601756096,
-0.048232704401016235,
-0.042280737310647964,
-0.002828545169904828,
0.02108593098819256,
0.021539585664868355,
-0.013800214976072311,
-0.011404911987483501,
-0.013564313761889935,
-0.03384273871779442,
-0.018019216135144234,
0.0007990016019903123,
0.019525354728102684,
-0.05676143616437912,
0.027074189856648445,
0.07933536171913147,
0.02266465313732624,
0.06521758437156677,
0.033461667597293854,
-0.014135920442640781,
0.032463621348142624,
0.00925911869853735,
0.015642058104276657,
0.04104679450392723,
0.05088205635547638,
0.024624446406960487,
0.013446363620460033,
-0.013763923197984695,
0.02377157472074032,
-0.016222737729549408,
0.0116317393258214,
0.026348339393734932,
0.0016717222752049565,
-0.013791142031550407,
0.05610817298293114,
0.006659669801592827,
0.01678527146577835,
0.018363995477557182,
0.009889700450003147,
0.04801495000720024,
-0.005684309639036655,
-0.021594025194644928,
0.007625957019627094,
0.006110746413469315,
-0.020614128559827805,
0.0037177109625190496,
-0.0001341829338343814,
-0.04935777187347412,
0.009835261851549149,
-0.01472567394375801,
-0.010062090121209621,
0.015868887305259705,
0.030013879761099815,
-0.002871642354875803,
-0.019616086035966873,
0.04220815375447273,
0.030685290694236755,
0.047325391322374344,
-0.0009952078107744455,
0.0018044167663902044,
0.0186361875385046,
0.006228696554899216,
0.032645083963871,
0.016095714643597603,
-0.00041707998025231063,
0.03763530030846596,
0.01233944296836853,
0.0251143965870142,
-0.012629782781004906,
-0.03540331497788429,
0.030013879761099815,
0.018654335290193558,
0.016141079366207123,
-0.060426976531744,
0.03847002983093262,
-0.037744179368019104,
0.02342679537832737,
-0.005684309639036655,
0.05171678215265274,
-0.023880451917648315,
0.000810910074505955,
0.020033448934555054,
-0.02268279902637005,
0.03598399460315704,
0.008896194398403168,
-0.03854261338710785,
0.02099519968032837,
-0.005557286087423563,
0.0037585399113595486,
-0.020632274448871613,
0.05229746177792549,
0.027781892567873,
0.00040375383105129004,
-0.014117774553596973,
-0.04111937806010246,
-0.015515035018324852,
-0.02359011210501194,
0.0163225419819355,
-0.027745600789785385,
-0.015986837446689606,
-0.018255116418004036,
-0.03268137946724892,
-0.028979545459151268,
-0.025549905374646187,
-0.0314837247133255,
-0.0016342956805601716,
-0.03576624020934105,
0.02206582762300968,
0.010252625681459904,
0.0159777645021677,
-0.00275822845287621,
0.03335278853774071,
0.06010034680366516,
-0.007775663863867521,
-0.0046635838225483894,
-0.02847144939005375,
0.00418951315805316,
-0.004352829419076443,
0.0069636194966733456,
0.049756988883018494,
0.006895571015775204,
-0.01669454015791416,
-0.008633073419332504,
-0.00957214180380106,
-0.005371286999434233,
0.009150241501629353,
-0.002939690835773945,
0.01129603385925293,
0.0010286649921908975,
0.020178617909550667,
0.0009390679188072681,
-0.006423769053071737,
-0.01963423192501068,
0.041700057685375214,
0.009436044842004776,
0.015469669364392757,
0.006931863725185394,
-0.02877993695437908,
0.009998577646911144,
0.015515035018324852,
0.02780003845691681,
-0.029614662751555443,
-0.01850009150803089,
0.005203434266149998,
0.03115709312260151,
-0.028017794713377953,
-0.04275254160165787,
0.019253160804510117,
0.006868351716548204,
-0.043296929448843,
0.002703789621591568,
0.0550919845700264,
0.006605231203138828,
0.025386588647961617,
-0.035312581807374954,
-0.011749690398573875,
-0.003377468790858984,
0.015605766326189041,
0.01545152347534895,
0.025332150980830193,
0.024969225749373436,
0.037236083298921585,
-0.0372723750770092,
-0.022265436127781868,
0.03088489919900894,
0.008465221151709557,
0.01694858819246292,
-0.007798346690833569,
0.027999646961688995,
0.017030246555805206,
0.010334283113479614,
-0.033624980598688126,
0.01419035904109478,
-0.04641808196902275,
0.007789273280650377,
0.04355097562074661,
0.003806173801422119,
0.04834158346056938,
0.04718022421002388,
0.0025155225303024054,
-0.043188050389289856,
0.019198721274733543,
0.012357588857412338,
-0.024878494441509247,
0.04039353132247925,
-0.016195518895983696,
0.06931863725185394,
-0.050664301961660385,
0.025894684717059135,
-0.018944675102829933,
-0.0022773530799895525,
-0.0005415518535301089,
0.007399129215627909,
0.000740593415684998,
-0.007662249729037285,
0.018200678750872612,
-0.00437551224604249,
-0.004194049630314112,
0.04656325280666351,
-0.0009884029859676957,
-0.022483190521597862,
-0.019198721274733543,
-0.032191429287195206,
0.019779400900006294,
0.006587084848433733,
-0.00901868101209402,
0.007902687415480614,
-0.02039637416601181,
0.008406245149672031,
-0.0012883830349892378,
0.014335528947412968,
0.04649066552519798,
-0.05853977054357529,
-0.021285539492964745,
0.015170256607234478,
-0.011985591612756252,
0.008601317182183266,
0.036546528339385986,
-0.0001538177311886102,
-0.03620174899697304,
-0.05026508495211601,
-0.03155631199479103,
0.003127958159893751,
-0.014952501282095909,
0.006591621786355972,
-0.015315426513552666,
0.024551862850785255,
-0.003270859597250819,
-0.002665228908881545,
-0.033697567880153656,
-0.013065292499959469,
0.036637257784605026,
-0.007580591831356287,
-0.05189824476838112,
-0.02224729023873806,
-0.013092512264847755,
-0.00013971187581773847,
-0.011377692222595215,
0.003127958159893751,
-0.02645721659064293,
0.016821565106511116,
0.013028999790549278,
0.0391232930123806,
0.02282796986401081,
-0.031447432935237885,
0.035802531987428665,
-0.03734496235847473,
-0.011105498299002647,
0.004990215878933668,
0.02736452966928482,
-0.0024157180450856686,
0.017792388796806335,
0.00023561758280266076,
-0.0020437203347682953,
-0.03585696965456009,
-0.006723181810230017,
-0.009925993159413338,
-0.00913209468126297,
0.007244886364787817,
-0.009281801991164684,
0.00785732176154852,
0.02257392182946205,
0.017629072070121765,
-0.008115905337035656,
0.03347981348633766,
-0.004615949932485819,
0.03905070945620537,
-0.02166661061346531,
0.018872089684009552,
-0.01972496323287487,
0.017901265993714333,
0.003774417797103524,
0.025967268273234367,
0.025658782571554184,
0.08354528993368149,
-0.035149265080690384,
0.0020788786932826042,
0.032445475459098816,
0.0125571982935071,
0.007993418723344803,
0.006745864637196064,
0.02847144939005375,
-0.02819925732910633,
-0.021975096315145493,
0.006137965712696314,
-0.005874845199286938,
0.0034251026809215546,
0.01921686716377735,
0.006382939871400595,
0.02368084341287613,
-0.044385701417922974,
-0.018527310341596603,
-0.005412116181105375,
-0.00216167070902884,
0.05752357840538025,
0.032463621348142624,
0.051099810749292374,
-0.022029535844922066,
0.09109412133693695,
0.0015265523688867688,
-0.03509482741355896,
-0.00910941231995821,
0.013872800394892693,
-0.08187583088874817,
0.0014199432916939259,
-0.010742573998868465,
0.005892991553992033,
0.008710195310413837,
-0.008174881339073181,
0.02030564285814762,
-0.02182992547750473,
0.012321297079324722,
0.016812490299344063,
0.027346383780241013,
-0.0041078547947108746,
-0.08485181629657745,
-0.03249991685152054,
-0.027564138174057007,
-0.02335420995950699,
0.00007449882104992867,
0.035040389746427536,
-0.02493293397128582,
0.013038073666393757,
0.012412028387188911,
-0.01592332497239113,
-0.025168834254145622,
0.01410870160907507,
0.0349496565759182,
-0.010806085541844368,
0.015433376654982567,
0.020940760150551796,
-0.019797546789050102,
0.028852520510554314,
-0.020850028842687607,
0.025477319955825806,
-0.003806173801422119,
-0.002932885894551873,
0.03523999825119972,
-0.04601886495947838,
-0.025168834254145622,
-0.03106636181473732,
-0.016730833798646927,
0.023644549772143364,
0.020614128559827805,
-0.01045223418623209,
0.03335278853774071,
0.04736168682575226,
0.0008069406030699611,
0.04039353132247925,
-0.00036916256067343056,
-0.01947091519832611,
0.02402562089264393,
0.018690627068281174,
-0.010615549981594086,
-0.008492439985275269,
0.039159584790468216,
-0.051353856921195984,
0.0232634786516428,
0.011096425354480743,
-0.0414460115134716,
-0.011232522316277027,
-0.03331649675965309,
-0.010252625681459904,
-0.010461307130753994,
0.0024746933486312628,
-0.03460488095879555,
-0.029777979478240013,
0.02384415827691555,
0.020341934636235237,
0.03669169545173645,
-0.013655045069754124,
-0.026293901726603508,
-0.02375342696905136,
0.004257561638951302,
-0.03137484937906265,
0.026584241539239883,
0.025477319955825806,
0.006677816156297922,
0.00018968491349369287,
0.014789185486733913,
-0.01401797030121088,
-0.0342601016163826,
-0.039232172071933746,
0.011559154838323593,
0.023789720609784126,
0.0000911565002752468,
0.024297814816236496,
-0.017347805202007294,
0.002021037507802248,
-0.010806085541844368,
-0.021467002108693123,
-0.04424053058028221,
-0.01923501491546631,
0.011513789184391499,
0.0172480009496212,
-0.03509482741355896,
0.006020015105605125,
-0.012829391285777092,
0.024914786219596863,
0.019017258659005165,
-0.008156734518706799,
-0.018137166276574135,
-0.035802531987428665,
-0.013210462406277657,
0.01657659001648426,
-0.009508629329502583,
0.0469987615942955,
0.004150952212512493,
-0.029505785554647446,
0.03340722620487213,
0.005824943073093891,
0.001078000059351325,
0.03507668152451515,
0.00438685342669487,
-0.02182992547750473,
-0.01566927880048752,
0.005148995667695999,
0.05099093168973923,
-0.030921192839741707,
0.011023840866982937,
0.006346647161990404,
0.009231899864971638,
-0.03536701947450638,
0.025912830606102943,
0.006954546552151442,
-0.03224586695432663,
0.024315960705280304,
-0.009726384654641151,
0.0030871289782226086,
0.036727990955114365,
-0.060572147369384766,
0.00866029318422079,
0.03999431058764458,
-0.040937915444374084,
-0.01930759847164154,
-0.028090378269553185,
0.004767924547195435,
-0.05770504102110863
] |
Dynamic Graph Neural Networks (DGNNs) are becoming increasingly popular due
to their effectiveness in analyzing and predicting the evolution of complex
interconnected graph-based systems. However, hardware deployment of DGNNs still
remains a challenge. First, DGNNs do not fully utilize hardware resources
because temporal data dependencies cause low hardware parallelism.
Additionally, there is currently a lack of generic DGNN hardware accelerator
frameworks, and existing GNN accelerator frameworks have limited ability to
handle dynamic graphs with changing topologies and node features. To address
the aforementioned challenges, in this paper, we propose DGNN-Booster, which is
a novel Field-Programmable Gate Array (FPGA) accelerator framework for
real-time DGNN inference using High-Level Synthesis (HLS). It includes two
different FPGA accelerator designs with different dataflows that can support
the most widely used DGNNs. We showcase the effectiveness of our designs by
implementing and evaluating two representative DGNN models on ZCU102 board and
measuring the end-to-end performance. The experiment results demonstrate that
DGNN-Booster can achieve a speedup of up to 5.6x compared to the CPU baseline
(6226R), 8.4x compared to the GPU baseline (A6000) and 2.1x compared to the
FPGA baseline without applying optimizations proposed in this paper. Moreover,
DGNN-Booster can achieve over 100x and over 1000x runtime energy efficiency
than the CPU and GPU baseline respectively. Our implementation code and
on-board measurements are publicly available at
https://github.com/sharc-lab/DGNN-Booster. | [
-0.007713366765528917,
0.036686383187770844,
-0.025958821177482605,
0.006939293351024389,
0.06886906921863556,
-0.013339080847799778,
-0.013714388944208622,
0.053199946880340576,
-0.03308967873454094,
0.012486818246543407,
0.011165420524775982,
-0.013096694834530354,
0.07706329226493835,
-0.023894626647233963,
-0.05276208743453026,
0.059361256659030914,
-0.0008644795743748546,
-0.031948115676641464,
0.017060887068510056,
-0.031729184091091156,
0.014738667756319046,
-0.05357525497674942,
-0.016591751947999,
-0.02253413386642933,
0.010008220560848713,
0.036060869693756104,
-0.010743198916316032,
0.0036514366511255503,
-0.03784358128905296,
0.04025181010365486,
-0.0057860021479427814,
0.022252652794122696,
-0.02186170592904091,
-0.03063453733921051,
-0.028148120269179344,
0.032714370638132095,
0.023222198709845543,
0.00242582056671381,
-0.039907779544591904,
-0.022205738350749016,
0.021627139300107956,
-0.0005331527208909392,
-0.02857034094631672,
0.025786805897951126,
0.003225305350497365,
0.0026584335137158632,
-0.04109625518321991,
0.0030181040056049824,
0.008999579586088657,
-0.00820204894989729,
0.011572004295885563,
-0.014144429937005043,
-0.003616251517087221,
0.03280819579958916,
-0.005958018824458122,
0.013229615986347198,
0.025927545502781868,
0.06339582055807114,
0.06836865097284317,
0.03768720477819443,
0.014441548846662045,
-0.01471521146595478,
-0.03349626064300537,
0.010031676851212978,
-0.005825096741318703,
-0.02342548966407776,
0.018937429413199425,
0.041971974074840546,
0.019437840208411217,
-0.02401972934603691,
-0.053637806326150894,
-0.04513081908226013,
-0.02508310228586197,
-0.021752241998910904,
0.0346221886575222,
-0.06530363857746124,
0.004781270865350962,
0.005950199905782938,
0.010430442169308662,
-0.019171996042132378,
0.029164578765630722,
0.04206579923629761,
-0.043035347014665604,
-0.032714370638132095,
0.0675554871559143,
-0.013988051563501358,
-0.008155135437846184,
-0.05451352521777153,
-0.03352753818035126,
-0.03186992555856705,
-0.04012670740485191,
-0.0074592516757547855,
-0.004613163881003857,
-0.03900078311562538,
-0.009844022803008556,
0.01564566232264042,
-0.029414784163236618,
-0.0379999615252018,
-0.053418874740600586,
0.0014162022853270173,
-0.05401311442255974,
0.010899577289819717,
0.01577858440577984,
0.013776940293610096,
-0.00034916374715976417,
-0.01892179064452648,
0.003409049939364195,
0.014496281743049622,
0.022158825770020485,
0.07768881320953369,
0.025317668914794922,
-0.016748130321502686,
0.03565428406000137,
0.030603261664509773,
-0.029790092259645462,
0.03796868398785591,
-0.03556045889854431,
-0.02491108514368534,
-0.006556166335940361,
0.00979710929095745,
0.05836043506860733,
0.03756210207939148,
-0.03556045889854431,
0.010672828182578087,
-0.021752241998910904,
0.04481806233525276,
-0.024879809468984604,
-0.06436536461114883,
-0.003096293192356825,
-0.0044294195249676704,
-0.0531373955309391,
-0.008436616510152817,
-0.017373645678162575,
-0.015856774523854256,
-0.021220553666353226,
-0.040533293038606644,
0.006067483685910702,
0.06333326548337936,
-0.036154694855213165,
0.0069783879444003105,
0.026396680623292923,
-0.011556366458535194,
0.008913571015000343,
-0.03659255430102348,
0.04503699019551277,
0.014339903369545937,
-0.026349768042564392,
0.04960324242711067,
-0.0038781852927058935,
-0.0005087186000309885,
-0.02527075633406639,
0.04119008034467697,
0.021408207714557648,
0.0017318911850452423,
-0.008241144008934498,
0.018218088895082474,
-0.030556347221136093,
-0.027116021141409874,
0.021533312276005745,
-0.0680558979511261,
0.03268309310078621,
0.007764189504086971,
0.013511097058653831,
0.04037691280245781,
-0.04190942272543907,
0.05545179545879364,
0.03690531104803085,
0.023331662639975548,
-0.07944025099277496,
0.0372806191444397,
0.04516209289431572,
0.0355917327105999,
0.018859239295125008,
0.04434892535209656,
-0.0019527757540345192,
0.059267427772283554,
0.03581066429615021,
-0.043754689395427704,
-0.03133824095129967,
-0.014754305593669415,
-0.04828966408967972,
-0.016513563692569733,
0.027741534635424614,
0.02566170133650303,
0.015106157399713993,
0.03921971470117569,
0.03987650200724602,
0.024113556370139122,
0.00852262508124113,
0.03621724620461464,
0.016169531270861626,
0.02231520414352417,
0.06295795738697052,
-0.0745612382888794,
0.022080635651946068,
-0.054169490933418274,
0.0021541130263358355,
-0.014394635334610939,
-0.021048538386821747,
-0.0001886315003503114,
-0.07969045639038086,
-0.01663866639137268,
-0.02602137252688408,
-0.04119008034467697,
0.01609134115278721,
-0.005469336174428463,
0.021877344697713852,
-0.01702961139380932,
-0.004945468157529831,
-0.020688867196440697,
0.04866497218608856,
0.01118105836212635,
-0.059455081820487976,
-0.06774313747882843,
0.04660077393054962,
-0.010719742625951767,
0.02231520414352417,
-0.03191683813929558,
-0.02866416797041893,
-0.021251829341053963,
0.007439704146236181,
0.002529421355575323,
0.011923856101930141,
-0.0346221886575222,
-0.030306141823530197,
-0.009578179568052292,
-0.016310270875692368,
-0.0157473087310791,
-0.03158844634890556,
0.0067633674480021,
-0.009844022803008556,
0.026240302249789238,
0.027600795030593872,
0.002138475188985467,
0.003194029675796628,
0.010094228200614452,
0.0007486618123948574,
0.0003376796958036721,
-0.029305320233106613,
0.04297279566526413,
-0.018890514969825745,
0.01967240869998932,
-0.01637282222509384,
-0.006067483685910702,
0.02154894918203354,
0.038437820971012115,
0.043629586696624756,
0.06567894667387009,
-0.0031432067044079304,
0.028023017570376396,
-0.029539886862039566,
0.002521602436900139,
-0.01448846235871315,
0.011337436735630035,
-0.026990918442606926,
0.034903667867183685,
-0.008952666074037552,
-0.017232904210686684,
-0.007330239284783602,
-0.029727540910243988,
0.03446580842137337,
-0.029946470633149147,
-0.06855630874633789,
0.03881312906742096,
-0.04081477224826813,
0.018906153738498688,
0.052605707198381424,
0.060706112533807755,
-0.018499569967389107,
-0.019688045606017113,
0.009554722346365452,
-0.05588965490460396,
-0.0666172131896019,
-0.024441950023174286,
0.02142384648323059,
-0.02401972934603691,
0.014191343449056149,
0.031103672459721565,
0.10458590090274811,
0.038250166922807693,
0.03953247144818306,
-0.011360893957316875,
-0.0019273642683401704,
0.013784759677946568,
-0.019171996042132378,
-0.038844406604766846,
-0.015950601547956467,
-0.0565151683986187,
-0.009969125501811504,
-0.0031490707769989967,
-0.02258104644715786,
-0.016435373574495316,
-0.012486818246543407,
0.01878105103969574,
0.06730528175830841,
0.015864592045545578,
-0.044599130749702454,
-0.05294974148273468,
0.06980733573436737,
-0.03393412008881569,
-0.04037691280245781,
0.014637022279202938,
0.028679806739091873,
-0.0016243810532614589,
-0.04034563899040222,
-0.016169531270861626,
-0.015770765021443367,
0.07481144368648529,
0.02508310228586197,
-0.038031235337257385,
0.031854286789894104,
-0.004945468157529831,
-0.01654483936727047,
-0.006356783676892519,
-0.01892179064452648,
0.034684740006923676,
0.011360893957316875,
0.007541350554674864,
0.005449788644909859,
-0.03362136334180832,
0.03790613263845444,
-0.007158223073929548,
-0.10258425772190094,
0.05786002427339554,
0.024879809468984604,
0.03384029492735863,
0.012353897094726562,
0.015661301091313362,
-0.08594559133052826,
0.029148941859602928,
-0.03809378668665886,
-0.04919665679335594,
-0.002621293533593416,
-0.003422733163461089,
-0.05535796657204628,
-0.014042784459888935,
-0.0743110328912735,
0.042722590267658234,
-0.024082280695438385,
0.005727360490709543,
-0.0004505653923843056,
-0.015606568194925785,
-0.011548548005521297,
0.01043826062232256,
-0.030978569760918617,
-0.054263319820165634,
-0.014144429937005043,
-0.015520560555160046,
0.0037980414927005768,
-0.06567894667387009,
0.0008380907238461077,
0.05782874673604965,
0.025098739191889763,
0.02061067894101143,
0.05929870530962944,
-0.04622546583414078,
-0.005301229190081358,
0.025302032008767128,
-0.029930833727121353,
-0.01269792951643467,
-0.0014171795919537544,
-0.03399667143821716,
-0.002677980810403824,
0.054888833314180374,
-0.09076204895973206,
0.0066851782612502575,
-0.07080815732479095,
-0.03218268230557442,
-0.05022875592112541,
0.04788307845592499,
-0.022205738350749016,
0.04047074168920517,
-0.01588023081421852,
-0.022143187001347542,
-0.024879809468984604,
0.0031823012977838516,
0.017999159172177315,
0.007944025099277496,
-0.02272178791463375,
0.03094729408621788,
-0.028898736461997032,
0.04194069653749466,
0.008288057520985603,
-0.029148941859602928,
0.022659236565232277,
0.03972012549638748,
0.03484111651778221,
-0.04660077393054962,
-0.006575713399797678,
0.024879809468984604,
0.03818761557340622,
-0.07062050700187683,
-0.02652178332209587,
-0.012940316461026669,
0.006376330740749836,
-0.015684757381677628,
0.04597526043653488,
-0.03900078311562538,
0.034903667867183685,
0.0013341035228222609,
-0.047820527106523514,
0.008952666074037552,
-0.00842879805713892,
0.0015833317302167416,
-0.005101846531033516,
-0.018968705087900162,
-0.027600795030593872,
-0.015035787597298622,
0.023362938314676285,
-0.04660077393054962,
0.043660860508680344,
-0.025864994153380394,
-0.03430943191051483,
-0.029946470633149147,
0.0011650193482637405,
0.015301630832254887,
-0.042722590267658234,
0.025646064430475235,
-0.005137031897902489,
-0.05182381719350815,
-0.03768720477819443,
0.04153411462903023,
0.009554722346365452,
0.02048557624220848,
0.028069930151104927,
0.03925098851323128,
-0.042503658682107925,
-0.004323863890022039,
-0.01712343841791153,
0.005973656661808491,
-0.013855129480361938,
0.0026271578390151262,
0.01976623572409153,
-0.07631267607212067,
-0.05961146205663681,
0.038750577718019485,
0.00773682352155447,
0.060080599039793015,
-0.06836865097284317,
0.008983941748738289,
-0.043629586696624756,
-0.07224684208631516,
-0.015012330375611782,
0.008030032739043236,
-0.04075222089886665,
-0.002013372490182519,
-0.0116032799705863,
-0.023988453671336174,
-0.033871568739414215,
-0.05526414141058922,
-0.07499910145998001,
-0.004812546540051699,
-0.08719661831855774,
-0.027116021141409874,
0.00409320555627346,
-0.008710279129445553,
-0.017874056473374367,
-0.010078590363264084,
0.06530363857746124,
-0.035310253500938416,
0.0027737626805901527,
0.09726738929748535,
-0.0055475253611803055,
-0.03399667143821716,
-0.01035225298255682,
0.10658754408359528,
-0.0029868283309042454,
-0.084632009267807,
0.007236412260681391,
0.0391884371638298,
0.029148941859602928,
0.008350608870387077,
0.03421560302376747,
0.00013829718227498233,
-0.0149106839671731,
0.015684757381677628,
0.021486397832632065,
-0.07593736797571182,
0.028945649042725563,
0.00009388814942212775,
0.023957177996635437,
-0.009961307048797607,
0.054763730615377426,
0.00957036018371582,
-0.008178592659533024,
-0.022299565374851227,
0.025286393240094185,
-0.0021932076197117567,
0.03987650200724602,
-0.022925078868865967,
-0.03409050032496452,
0.026318492367863655,
-0.05470117926597595,
0.001595060108229518,
0.016075704246759415,
0.003893823130056262,
-0.026224665343761444,
-0.0076273586601018906,
0.0639587789773941,
0.02173660323023796,
-0.01649792492389679,
0.0022440305911004543,
-0.0067164539359509945,
-0.014050602912902832,
-0.0005522113642655313,
0.011196696199476719,
0.0037667658179998398,
0.05423204228281975,
-0.03215140849351883,
0.01950039155781269,
-0.016920147463679314,
0.002810902427881956,
-0.02190862037241459,
-0.03321478143334389,
0.01055554486811161,
-0.018186813220381737,
-0.06617935746908188,
-0.00608312152326107,
0.03568556159734726,
0.054763730615377426,
0.03768720477819443,
-0.020313559100031853,
-0.036686383187770844,
0.04140901193022728,
-0.03981395065784454,
0.038844406604766846,
-0.0281324815005064,
-0.00682982848957181,
0.056421343237161636,
0.011970769613981247,
-0.011986407451331615,
0.016310270875692368,
-0.012948134914040565,
-0.0014513874193653464,
-0.028367049992084503,
0.000573713390622288,
0.0005961927818134427,
-0.0017142986180260777,
-0.01923454739153385,
-0.01735800690948963,
-0.039376091212034225,
0.04284769296646118,
0.0068102809600532055,
0.024754706770181656,
0.0140662407502532,
-0.023237835615873337,
0.024926723912358284,
-0.025599149987101555,
-0.003995469305664301,
0.0027248943224549294,
-0.020720142871141434,
-0.005395056214183569,
0.0011024679988622665,
-0.03540407866239548,
-0.019531667232513428,
-0.035216424614191055,
-0.030884742736816406,
-0.022784339264035225,
-0.010821388103067875,
-0.022925078868865967,
0.0068102809600532055,
-0.0005204469780437648,
-0.005015838425606489,
-0.043316829949617386,
-0.009984763339161873,
-0.03430943191051483,
0.00820986833423376,
0.014300808310508728,
-0.011392169632017612,
0.02289380319416523,
0.0013204204151406884,
-0.02186170592904091,
-0.025739891454577446,
-0.00585637241601944,
0.0031021572649478912,
-0.019609857350587845,
0.012854307889938354,
-0.04356703534722328,
-0.01312797050923109,
0.041346460580825806,
0.021220553666353226,
-0.006227771285921335,
0.03784358128905296,
-0.0228468906134367,
0.009867480024695396,
-0.045412298291921616,
-0.021251829341053963,
-0.031635358929634094,
-0.0006880651344545186,
-0.0228468906134367,
0.038343992084264755,
0.008725916966795921,
-0.006865013390779495,
-0.02003207802772522,
-0.06189458817243576,
-0.007498346269130707,
0.011470358818769455,
0.034809842705726624,
0.010008220560848713,
-0.046256743371486664,
0.014793400652706623,
0.004077567718923092,
-0.004570160061120987,
0.00946089532226324,
-0.03527897596359253,
-0.0242855716496706,
0.003796086646616459,
-0.015997514128684998,
0.005887648090720177,
-0.020469937473535538,
0.0003288834122940898,
0.005031476262956858,
0.09464023262262344,
0.00395832909271121,
0.021361295133829117,
0.03296457603573799,
0.01770203933119774,
0.04065839573740959,
-0.025458410382270813,
-0.06555384397506714,
0.050416409969329834,
-0.04144028574228287,
0.05398183688521385,
0.01748310960829258,
0.0012901221634820104,
0.04378596320748329,
0.02387898787856102,
-0.033183503895998,
-0.01832755282521248,
-0.0077407327480614185,
-0.02366005815565586,
0.026287216693162918,
-0.06724272668361664,
0.01699833571910858,
-0.023581869900226593,
-0.03618597239255905,
-0.044786784797906876,
0.026678161695599556,
-0.01558311190456152,
-0.025286393240094185,
-0.029102027416229248,
0.014707392081618309,
0.013432907871901989,
0.03868802636861801,
-0.016795044764876366,
0.02996210940182209,
-0.038343992084264755,
0.015215622261166573,
0.019828787073493004,
0.038562923669815063,
0.04212835058569908,
0.030040299519896507,
0.023409852758049965,
0.04619419202208519,
-0.009695463813841343,
-0.0464131198823452,
0.04003288224339485,
-0.011579823680222034,
0.008592995814979076,
0.03981395065784454,
-0.028523428365588188,
0.03049379587173462,
0.016435373574495316,
0.008342789486050606,
0.009265422821044922,
-0.047601599246263504,
-0.022471582517027855,
0.0555456206202507,
0.006290322635322809,
0.04982217028737068,
-0.023003268986940384,
-0.039063334465026855,
0.010399166494607925,
0.007482708431780338,
0.03188556432723999,
-0.030118487775325775,
0.03590448945760727,
0.030509434640407562,
-0.015012330375611782,
-0.03116622380912304,
-0.04037691280245781,
-0.040314361453056335,
-0.029790092259645462,
-0.02173660323023796,
-0.04172176867723465,
-0.0014122928259894252,
-0.027334950864315033,
-0.001120060565881431,
-0.024473225697875023,
0.03215140849351883,
-0.021298743784427643,
-0.026709437370300293,
-0.010766656138002872,
0.028460877016186714,
0.0026701618917286396,
0.022346479818224907,
-0.004789089784026146,
-0.017999159172177315,
0.019531667232513428,
-0.020063353702425957,
-0.00905431155115366,
-0.006044026929885149,
0.004781270865350962,
-0.016701217740774155,
-0.01120451558381319,
0.04538102447986603,
-0.0082958759739995,
0.014683935791254044,
-0.05876701697707176,
-0.029586801305413246,
-0.010735380463302135,
-0.010297520086169243,
0.009171595796942711,
0.0348723940551281,
0.048414766788482666,
-0.024488864466547966,
-0.0014269532402977347,
-0.026678161695599556,
-0.020376110449433327,
0.04387979209423065,
-0.023284750059247017,
0.009765833616256714,
0.0034931034315377474,
-0.04910283163189888,
-0.003641662886366248,
0.021173641085624695,
-0.011118507012724876,
-0.0023456765338778496,
-0.058204054832458496,
0.005355961620807648,
-0.00885101966559887,
-0.046569500118494034,
-0.011446901597082615,
0.0021267468109726906,
-0.01440245471894741,
-0.0056726280599832535,
0.03434070572257042,
0.0771884024143219,
0.008280238136649132,
-0.001562807010486722,
-0.02012590505182743,
-0.017060887068510056,
0.011525090783834457,
-0.00006328440213110298,
0.00788929220288992,
-0.023534955456852913,
0.020110268145799637,
0.006474067457020283,
-0.02423865906894207,
-0.023597506806254387,
0.010563363321125507,
-0.0053911469876766205,
0.021486397832632065,
-0.022815614938735962,
-0.07055795192718506,
-0.007349786814302206,
0.001882405485957861,
-0.003158844541758299,
0.008217686787247658,
0.014191343449056149,
-0.009062130935490131,
0.03374646604061127,
-0.002550923265516758,
0.025255117565393448,
0.058735743165016174,
-0.007936205714941025,
-0.005699994042515755,
-0.001563784433528781,
-0.013041961938142776,
0.029993385076522827,
0.031228775158524513,
0.020016441121697426,
0.013737846165895462,
-0.011102869175374508,
-0.008905752561986446,
0.009664188139140606,
0.04431765154004097,
0.004222217947244644,
-0.0005087186000309885,
-0.004218308255076408,
-0.07074560970067978,
0.007435794919729233,
-0.030603261664509773,
0.03696786239743233,
-0.0104617178440094,
-0.007123038172721863,
-0.0003208201378583908,
-0.011227971874177456,
-0.01986006274819374,
0.03581066429615021,
-0.006223862059414387,
0.005742998328059912,
0.01860903389751911,
0.025020550936460495,
0.05804767832159996,
0.013120151124894619,
0.00798311922699213,
0.043848514556884766,
0.012291345745325089,
-0.024129193276166916,
0.0372806191444397,
-0.0346221886575222,
-0.015317268669605255,
0.06918182224035263,
-0.0010340524604544044,
-0.022925078868865967,
-0.017874056473374367,
-0.0073967003263533115,
-0.006614807993173599,
0.019891338422894478,
0.05294974148273468,
0.02839832566678524,
-0.022080635651946068,
0.020016441121697426,
0.03330860659480095,
-0.057265784591436386,
-0.0324641652405262,
-0.024473225697875023,
-0.020313559100031853,
-0.04269131273031235,
-0.020157180726528168,
-0.04412999749183655,
-0.032714370638132095,
0.0016752040246501565,
-0.0075022559612989426,
-0.033871568739414215,
0.007060486823320389,
0.027694622054696083,
0.03205757960677147,
-0.0061222161166369915,
0.03255799040198326,
0.01408969797194004,
-0.014785581268370152,
-0.020469937473535538,
-0.051855091005563736,
0.04140901193022728,
-0.030165402218699455,
0.046131640672683716,
0.016263358294963837,
0.02486417256295681,
0.012502456083893776,
0.05004110187292099,
-0.011548548005521297,
0.014762124978005886,
-0.040408190339803696,
-0.03371519222855568,
0.014840314164757729,
0.00023969882749952376,
-0.02097034826874733,
0.0020055535715073347,
0.01704525016248226,
0.02186170592904091,
0.010508631356060505,
0.0050353859551250935,
-0.030775276944041252,
0.03434070572257042,
0.03452835977077484,
0.017811505123972893,
-0.016247719526290894,
-0.01573948934674263,
0.035935766994953156,
0.0012930541997775435,
-0.0076469057239592075,
0.002392590045928955,
0.01564566232264042,
-0.02173660323023796,
0.002202981384471059,
-0.015145252458751202,
0.017342370003461838,
-0.01824936456978321,
-0.021799154579639435,
0.0027503059245646,
-0.01873413659632206,
0.049259208142757416,
-0.003483329899609089,
-0.03868802636861801,
-0.00458188820630312,
-0.03287074714899063,
0.0013487640535458922,
-0.006196495611220598,
0.045193370431661606,
0.009922211989760399,
0.059455081820487976,
-0.025098739191889763,
0.0769381895661354,
-0.006567894481122494,
-0.021408207714557648,
-0.013714388944208622,
-0.054482247680425644,
-0.013925500214099884,
-0.031025482341647148,
0.044161271303892136,
-0.0008292944403365254,
-0.026240302249789238,
0.027350589632987976,
-0.012963772751390934,
-0.012009864673018456,
-0.011165420524775982,
0.003704214235767722,
0.01793660782277584,
0.007064396049827337,
-0.04278514161705971,
0.018655948340892792,
-0.029399147257208824,
0.06389623135328293,
0.018937429413199425,
0.010829207487404346,
-0.009937849827110767,
-0.004273040685802698,
-0.005340323783457279,
-0.01671685464680195,
0.0048672789707779884,
0.028195032849907875,
-0.03515387326478958,
0.04122135788202286,
0.020454300567507744,
0.0003867922932840884,
-0.02517692930996418,
0.0694945827126503,
-0.03104112111032009,
-0.007138676010072231,
0.017827142030000687,
-0.04090860113501549,
0.041971974074840546,
-0.03662383183836937,
0.02714729681611061,
-0.03085346706211567,
0.02772589772939682,
-0.04622546583414078,
0.03277692198753357,
0.017967883497476578,
0.04078349843621254,
0.028585979714989662,
0.0037550374399870634,
0.01323743537068367,
-0.01097776647657156,
-0.02325347438454628,
0.0173110943287611,
-0.018702860921621323,
0.018702860921621323,
-0.013855129480361938,
-0.03681148588657379,
0.01774895377457142,
-0.0030571985989809036,
-0.014339903369545937,
-0.04525592178106308,
0.01451191958039999,
0.06233244761824608,
0.0014269532402977347,
0.030024660751223564,
0.0017094118520617485,
0.016122616827487946,
0.009578179568052292,
-0.018530845642089844,
-0.024379398673772812,
-0.029039476066827774,
-0.022018084302544594,
-0.012869945727288723,
0.0018804507562890649,
0.026615610346198082,
0.004464604426175356,
0.01502796821296215,
-0.0007716298568993807,
0.0073224203661084175,
0.04278514161705971,
-0.009249784983694553,
0.014660478569567204,
-0.008890114724636078,
-0.04653822258114815,
-0.03587321564555168,
0.008288057520985603,
-0.0644279196858406,
0.02763207070529461,
0.0262090265750885,
-0.017905332148075104,
0.005211311392486095,
0.009718920104205608,
-0.013925500214099884,
-0.023503679782152176,
-0.0003872809757012874,
0.03202630579471588,
0.025520961731672287,
-0.0035576096270233393,
0.02401972934603691,
0.0034520539920777082,
-0.03160408139228821,
0.017404921352863312,
-0.03599831834435463,
-0.056953027844429016,
0.0003777516831178218,
-0.039688847959041595,
0.033871568739414215,
0.032307785004377365,
-0.038437820971012115,
-0.007283325772732496,
-0.006626536604017019,
-0.03443453460931778,
-0.047476496547460556,
-0.0034325066953897476,
0.016669942066073418,
0.021971171721816063,
-0.05563944950699806,
-0.045818883925676346,
0.046757154166698456,
-0.020360473543405533,
0.034590911120176315,
-0.008483530022203922,
0.027616431936621666,
-0.011470358818769455,
0.05648389458656311,
-0.017139077186584473,
-0.0425662100315094,
-0.028101205825805664,
0.0029926924034953117,
-0.015841135755181313,
-0.014840314164757729,
-0.036874037235975266,
0.047163739800453186,
-0.010852663777768612,
-0.00983620434999466,
0.021392570808529854,
0.0030474248342216015,
-0.0003056709829252213,
-0.015113976784050465
] |
Robots operating in real-world environments must reason about possible
outcomes of stochastic actions and make decisions based on partial observations
of the true world state. A major challenge for making accurate and robust
action predictions is the problem of confounding, which if left untreated can
lead to prediction errors. The partially observable Markov decision process
(POMDP) is a widely-used framework to model these stochastic and
partially-observable decision-making problems. However, due to a lack of
explicit causal semantics, POMDP planning methods are prone to confounding bias
and thus in the presence of unobserved confounders may produce underperforming
policies. This paper presents a novel causally-informed extension of "anytime
regularized determinized sparse partially observable tree" (AR-DESPOT), a
modern anytime online POMDP planner, using causal modelling and inference to
eliminate errors caused by unmeasured confounder variables. We further propose
a method to learn offline the partial parameterisation of the causal model for
planning, from ground truth model data. We evaluate our methods on a toy
problem with an unobserved confounder and show that the learned causal model is
highly accurate, while our planning method is more robust to confounding and
produces overall higher performing policies than AR-DESPOT. | [
0.014946818351745605,
-0.029254401102662086,
-0.03243177384138107,
-0.021094754338264465,
0.0583207905292511,
0.010039749555289745,
-0.06993982940912247,
-0.002204420743510127,
-0.08129564672708511,
0.014683603309094906,
0.018904434517025948,
-0.01835920475423336,
-0.03982057794928551,
0.0268290676176548,
-0.044257622212171555,
0.02534378692507744,
0.0252497810870409,
0.01625349000096321,
0.01799258403480053,
-0.0121736666187644,
0.034725502133369446,
0.01602787710726261,
-0.02241082675755024,
0.09250105917453766,
0.04512247070670128,
0.049258697777986526,
-0.02938600815832615,
0.006256042513996363,
-0.03692522272467613,
0.055876657366752625,
0.034293077886104584,
0.04504726454615593,
-0.022147612646222115,
-0.031115703284740448,
0.00021342105173971504,
0.016215886920690536,
0.0013442735653370619,
0.015764662995934486,
0.021527178585529327,
0.061404161155223846,
-0.014862213283777237,
0.023350877687335014,
-0.014702404849231243,
-0.08046840131282806,
0.004827164113521576,
-0.007275998126715422,
-0.053695738315582275,
0.010284163057804108,
-0.05926084518432617,
0.04474644735455513,
-0.018453210592269897,
-0.047491397708654404,
0.049935534596443176,
-0.015539050102233887,
-0.02959281951189041,
0.03019445203244686,
0.015595453791320324,
-0.04188869148492813,
0.017672967165708542,
0.04079823195934296,
0.003905913792550564,
0.014796409755945206,
-0.0590728335082531,
0.002507587196305394,
-0.009080897085368633,
-0.04846905171871185,
0.021019550040364265,
-0.006265442818403244,
0.04831864312291145,
-0.03183014318346977,
-0.04835624620318413,
0.0120608601719141,
-0.02996884100139141,
-0.026904271915555,
0.0013395732967182994,
0.0016920926282182336,
0.020417917519807816,
0.026208633556962013,
-0.0022243966814130545,
-0.01049097441136837,
0.01947786659002304,
0.04846905171871185,
-0.003786057233810425,
-0.024535343050956726,
0.10333045572042465,
-0.06817252933979034,
0.053620535880327225,
-0.06460033357143402,
0.05745594576001167,
-0.021639984101057053,
-0.020192304626107216,
0.004864766262471676,
0.011431025341153145,
-0.0258514154702425,
-0.008469863794744015,
-0.00013314947136677802,
0.0014312283601611853,
0.014777609147131443,
-0.05192844197154045,
0.0026133430656045675,
-0.01588686928153038,
-0.0002686490770429373,
-0.0042795841582119465,
0.010688384994864464,
0.06610441952943802,
-0.03335302695631981,
-0.02810753881931305,
-0.001317247049883008,
0.05207885056734085,
0.17492477595806122,
0.02038031630218029,
0.020812738686800003,
-0.003931764978915453,
0.01034056581556797,
-0.05911043658852577,
0.012352275662124157,
-0.022805647924542427,
-0.06749569624662399,
0.0028225043788552284,
-0.041550274938344955,
-0.007793026510626078,
0.08024279028177261,
0.04474644735455513,
-0.039895784109830856,
-0.02587021514773369,
0.013038513250648975,
-0.0027778521180152893,
-0.006721368059515953,
0.01874462515115738,
-0.003971717320382595,
-0.00786823034286499,
0.00506217684596777,
-0.023125264793634415,
0.010603779926896095,
-0.016507303342223167,
-0.031190907582640648,
-0.002064588014036417,
0.009264207445085049,
-0.02810753881931305,
-0.004164427984505892,
-0.04038460925221443,
-0.0617801807820797,
-0.07426406443119049,
-0.000277755840215832,
0.022956056520342827,
0.01442978996783495,
-0.002650944981724024,
0.07031584531068802,
-0.07321120798587799,
0.006965781096369028,
-0.0486946664750576,
0.032337769865989685,
0.03626718372106552,
0.025230981409549713,
0.02906639128923416,
-0.024253327399492264,
-0.014852812513709068,
-0.002293725498020649,
0.018124191090464592,
-0.02263643965125084,
0.03438708186149597,
-0.013198322616517544,
-0.00937231257557869,
0.03201815113425255,
0.06005048751831055,
0.02846475876867771,
-0.017400352284312248,
-0.050837982445955276,
-0.005428797099739313,
0.031510524451732635,
-0.025418991222977638,
-0.01449559349566698,
-0.0667436495423317,
0.0595240592956543,
0.00925480667501688,
0.05012354254722595,
0.0521540530025959,
0.032939404249191284,
-0.03089009039103985,
0.00910439807921648,
-0.006956380791962147,
-0.033898256719112396,
0.0017625964246690273,
0.021527178585529327,
0.052642881870269775,
0.052266862243413925,
0.057004719972610474,
-0.021771591156721115,
0.045310478657484055,
0.023651694878935814,
0.0024088819045573473,
-0.020041896030306816,
-0.005475799553096294,
0.014213577844202518,
0.016140682622790337,
-0.012248869985342026,
-0.05222925916314125,
-0.003842460224404931,
-0.02846475876867771,
0.02128276415169239,
-0.02504296973347664,
-0.04805542901158333,
0.022880852222442627,
0.00023941935796756297,
0.03367264196276665,
0.05207885056734085,
0.07249676436185837,
-0.0697518140077591,
0.04549849033355713,
-0.054748594760894775,
0.024836160242557526,
-0.04083583503961563,
-0.004288984928280115,
-0.03910614177584648,
-0.04982272535562515,
-0.0063547478057444096,
-0.019158247858285904,
0.018678821623325348,
-0.03596637025475502,
-0.04151267185807228,
0.035627949982881546,
0.014683603309094906,
0.015369840897619724,
-0.006246641743928194,
0.013104316778481007,
0.0580199770629406,
0.0083617577329278,
0.006904677953571081,
0.03530833125114441,
-0.010876395739614964,
-0.00850276555866003,
-0.014589598402380943,
-0.0018542514881119132,
0.002076338743790984,
0.027242690324783325,
0.03162332996726036,
0.013423934578895569,
0.029197998344898224,
0.025907818228006363,
-0.037808869034051895,
-0.013658947311341763,
-0.009207803755998611,
-0.03408626466989517,
-0.03459389507770538,
0.08001717925071716,
0.04910828918218613,
-0.024422537535429,
-0.007543913088738918,
0.02921679988503456,
0.03393585607409477,
-0.007995137944817543,
-0.012953909114003181,
-0.04030940681695938,
-0.0023724548518657684,
0.012606089934706688,
0.022542433813214302,
-0.0005563929444178939,
-0.07099268585443497,
-0.005268988199532032,
0.0034781903959810734,
0.0703534483909607,
0.006956380791962147,
0.042678337544202805,
0.019308656454086304,
-0.021414371207356453,
-0.01056617870926857,
0.01120541337877512,
0.004697907250374556,
0.04027180373668671,
0.025061771273612976,
-0.006533357780426741,
-0.034800704568624496,
0.012728296220302582,
0.03643639385700226,
0.005330091807991266,
-0.026904271915555,
0.07287278771400452,
0.0030457666143774986,
0.0137529531493783,
0.012051459401845932,
0.015228833071887493,
-0.030156850814819336,
-0.00959792546927929,
0.008718976750969887,
0.05283088982105255,
0.020737534388899803,
-0.015454445965588093,
0.015313438139855862,
-0.07072947174310684,
-0.013931562192738056,
-0.022166412323713303,
0.02765631303191185,
-0.03677481412887573,
0.04173828288912773,
0.05478619784116745,
0.008140845224261284,
-0.03230016678571701,
0.011562632396817207,
0.03579716011881828,
0.010519175790250301,
-0.018124191090464592,
-0.022298021242022514,
0.01760716363787651,
0.0577191598713398,
0.00757211446762085,
0.06422431766986847,
0.026923073455691338,
0.06847334653139114,
-0.00858266931027174,
-0.007769525051116943,
-0.0003287242434453219,
0.008164347149431705,
-0.010067950934171677,
-0.02361409179866314,
0.0013313478557392955,
0.04437042772769928,
0.03626718372106552,
-0.0523044615983963,
-0.02271164394915104,
0.0035792458802461624,
-0.013057314790785313,
-0.02818274311721325,
-0.08107003569602966,
-0.034293077886104584,
0.0051749832928180695,
0.025663403794169426,
-0.005663809832185507,
0.04647614434361458,
-0.02884077839553356,
-0.0068529751151800156,
-0.06621722131967545,
-0.011459226720035076,
-0.03839170187711716,
-0.008070341311395168,
-0.06031370162963867,
-0.01597147434949875,
-0.023350877687335014,
0.018622418865561485,
-0.011703640222549438,
-0.06452513486146927,
0.027712717652320862,
-0.01524763461202383,
-0.04903308302164078,
0.001816649455577135,
0.015915071591734886,
-0.07403845340013504,
0.013320528902113438,
0.01617828570306301,
0.005663809832185507,
-0.005193784367293119,
0.0009136124863289297,
-0.07197033613920212,
-0.006053931545466185,
0.012474482879042625,
0.10348086059093475,
-0.019083043560385704,
-0.033014606684446335,
-0.02359529212117195,
-0.053470127284526825,
-0.023952510207891464,
0.03903093561530113,
-0.0686989575624466,
-0.03320261836051941,
0.05313170701265335,
-0.06309625506401062,
0.03925655037164688,
0.003243177430704236,
-0.018556615337729454,
-0.022918453440070152,
-0.021545980125665665,
0.00225729844532907,
0.0485442578792572,
0.03087128885090351,
-0.020793939009308815,
0.00782592874020338,
-0.008892886340618134,
-0.014072570018470287,
0.017644764855504036,
-0.03277019411325455,
0.0272050891071558,
-0.03282659500837326,
-0.028276747092604637,
-0.03335302695631981,
0.01895143650472164,
0.007938734255731106,
0.040873438119888306,
0.0238961074501276,
-0.0037931075785309076,
0.01191985234618187,
0.08069401979446411,
0.03318381682038307,
-0.07896432280540466,
-0.04079823195934296,
-0.01435458566993475,
0.002893008291721344,
-0.0456865020096302,
0.03617317974567413,
0.015266435220837593,
0.034142669290304184,
-0.012859904207289219,
0.009574424475431442,
-0.013762352988123894,
-0.014796409755945206,
0.02165878564119339,
0.01207026094198227,
0.03581596165895462,
-0.01567065715789795,
-0.042979151010513306,
0.010274762287735939,
0.03747045248746872,
0.016582507640123367,
0.009193703532218933,
-0.008634372614324093,
0.002803703537210822,
0.023332076147198677,
0.008281853049993515,
0.011581433936953545,
-0.011346421204507351,
0.027750318869948387,
-0.019534269347786903,
-0.012784699909389019,
0.02158358134329319,
0.04542328789830208,
0.02060592733323574,
-0.00005908370076213032,
0.01962827518582344,
-0.01904544234275818,
-0.02667866088449955,
-0.015369840897619724,
-0.00869547575712204,
0.05222925916314125,
0.04564889892935753,
0.0023466034326702356,
-0.03978297859430313,
-0.016497902572155,
0.04226471483707428,
-0.038335297256708145,
0.0082113491371274,
-0.003520492697134614,
0.016949128359556198,
0.01964707486331463,
-0.05719273164868355,
-0.0556134432554245,
0.0035721955355256796,
0.033898256719112396,
-0.024328531697392464,
-0.011976255103945732,
-0.015040823258459568,
-0.027374297380447388,
-0.017372149974107742,
-0.05798237398266792,
0.061028141528367996,
-0.007087987847626209,
-0.005029275082051754,
-0.007642618380486965,
0.01521003246307373,
0.01026536151766777,
-0.007069186773151159,
0.03794047608971596,
-0.028690369799733162,
0.0314917229115963,
0.026133431121706963,
-0.025381390005350113,
-0.03799688071012497,
0.016065480187535286,
0.02818274311721325,
-0.054071757942438126,
-0.03574075549840927,
0.002306651324033737,
0.022354423999786377,
-0.0005828319117426872,
-0.007351202424615622,
-0.03842930495738983,
-0.011186611838638783,
-0.006735468748956919,
0.052266862243413925,
0.008234851062297821,
-0.054447781294584274,
0.023031260818243027,
-0.04309196025133133,
0.03686881810426712,
-0.032337769865989685,
0.006885876879096031,
-0.0006615612073801458,
-0.007797726895660162,
-0.0004259608103893697,
0.01715593971312046,
0.018340403214097023,
-0.015774063766002655,
-0.015426244586706161,
-0.009612025693058968,
-0.07396324723958969,
-0.010246560908854008,
-0.006326546426862478,
0.026735063642263412,
0.012436880730092525,
0.005381794646382332,
-0.05896002799272537,
0.04801782965660095,
0.010218359529972076,
0.05899762734770775,
-0.05298129841685295,
-0.019148848950862885,
0.024535343050956726,
-0.010509775020182133,
-0.019383860751986504,
0.018923236057162285,
0.014025568030774593,
-0.024403735995292664,
-0.0283331498503685,
0.012361676432192326,
0.03117210604250431,
0.009936343878507614,
0.008201949298381805,
0.012201867997646332,
-0.003245527623221278,
0.05117640271782875,
0.00018169432587455958,
0.025907818228006363,
0.006077432539314032,
0.016300491988658905,
-0.007473409175872803,
-0.0616297721862793,
0.021226361393928528,
-0.04587450996041298,
0.0524548701941967,
-0.01052857656031847,
-0.052868492901325226,
0.05042435973882675,
-0.035195525735616684,
0.04940910264849663,
0.07061666250228882,
-0.03876772150397301,
-0.055049411952495575,
0.0016803420148789883,
-0.0497475229203701,
0.0471905842423439,
0.03307101130485535,
0.0021233411971479654,
-0.0029259100556373596,
-0.028671570122241974,
0.04798022657632828,
0.030232055112719536,
0.02951761521399021,
-0.025719808414578438,
0.015003221109509468,
0.043731193989515305,
0.010500374250113964,
0.021038351580500603,
0.014551996253430843,
-0.019985493272542953,
-0.008413460105657578,
-0.0045568994246423244,
0.026998277753591537,
-0.008982191793620586,
-0.04361838847398758,
-0.024685751646757126,
-0.0007467533578164876,
0.015473246574401855,
-0.027336696162819862,
0.026434246450662613,
-0.019515467807650566,
0.012389877811074257,
0.006589760538190603,
0.01957187056541443,
-0.023482484742999077,
0.03963256999850273,
0.04606252163648605,
0.01934625953435898,
0.028690369799733162,
-0.01947786659002304,
0.009156101383268833,
0.010998602025210857,
0.010716586373746395,
0.04955951124429703,
0.014918616972863674,
0.002505237003788352,
-0.00278255227021873,
-0.03647399693727493,
-0.040347009897232056,
-0.004761360585689545,
0.011619036085903645,
0.03696282207965851,
0.02600182220339775,
0.004606252070516348,
-0.00481306342408061,
-0.02308766357600689,
-0.005480499938130379,
-0.01662950962781906,
-0.02256123535335064,
-0.0314917229115963,
0.03590996563434601,
0.02024870738387108,
0.021395571529865265,
-0.01859421841800213,
0.0037273040506988764,
0.007849429734051228,
-0.013339330442249775,
0.005630908068269491,
-0.0556134432554245,
-0.009861139580607414,
0.0032384772785007954,
-0.017212342470884323,
0.03273259103298187,
-0.026265038177371025,
0.003179724095389247,
0.005715512670576572,
0.02263643965125084,
0.00004068660200573504,
0.037959277629852295,
0.017804574221372604,
-0.034518688917160034,
0.013799955137073994,
-0.042377520352602005,
0.030232055112719536,
-0.052567675709724426,
0.00958852469921112,
0.0018448509508743882,
-0.009691930375993252,
-0.014664802700281143,
0.03337182477116585,
-0.040873438119888306,
0.035477541387081146,
0.007854130119085312,
-0.0241969246417284,
0.007346502039581537,
-0.018622418865561485,
-0.03156692907214165,
-0.0136777488514781,
-0.00006488558574346825,
-0.021771591156721115,
-0.0015487347263842821,
-0.0013007961679250002,
-0.012427479960024357,
0.007586215157061815,
-0.005809518042951822,
-0.013470937497913837,
0.06309625506401062,
0.04384399950504303,
-0.0000871750817168504,
-0.01262489054352045,
-0.011224213987588882,
0.03231896832585335,
0.022467229515314102,
-0.012709495611488819,
0.019007841125130653,
0.013301728293299675,
-0.02519337832927704,
0.06151696667075157,
-0.03292060270905495,
-0.04647614434361458,
0.04271593689918518,
0.02436613291501999,
0.052718084305524826,
0.008206648752093315,
-0.004079823382198811,
-0.025437792763113976,
-0.0006597986212000251,
-0.01588686928153038,
0.016817521303892136,
-0.002505237003788352,
-0.01701493188738823,
0.00552750239148736,
0.041399866342544556,
0.021771591156721115,
0.007139690686017275,
0.03854211047291756,
0.007600315846502781,
-0.022880852222442627,
0.07106789201498032,
-0.030927693471312523,
-0.021113555878400803,
-0.03154812753200531,
0.01281290128827095,
0.040422212332487106,
-0.022373223677277565,
-0.004063372500240803,
0.04500966519117355,
-0.01191985234618187,
-0.02931080386042595,
-0.025494195520877838,
-0.03230016678571701,
0.0030927693005651236,
0.03152932599186897,
0.017738770693540573,
0.007891732268035412,
0.003943515941500664,
-0.0006609736592508852,
-0.010152556002140045,
0.011337020434439182,
-0.04662655293941498,
-0.05794477090239525,
0.02000429481267929,
0.0020128851756453514,
0.013781154528260231,
-0.002451184205710888,
-0.010603779926896095,
-0.03213096037507057,
0.01120541337877512,
0.011149010621011257,
-0.06670605391263962,
0.007990437559783459,
-0.006773070897907019,
0.062080997973680496,
0.011299418285489082,
-0.01449559349566698,
0.0004115662886761129,
0.0082113491371274,
-0.012465082108974457,
0.025588201358914375,
-0.010152556002140045,
0.04771701246500015,
-0.035345934331417084,
0.04786742106080055,
0.03985818102955818,
0.03739524632692337,
0.050950787961483,
-0.06249462068080902,
0.00429133465513587,
0.0066743651404976845,
0.035853561013936996,
-0.003059867536649108,
0.013781154528260231,
0.010989201255142689,
-0.014984420500695705,
0.012577888555824757,
0.022542433813214302,
0.03199934959411621,
-0.000426254584454,
-0.00721019459888339,
0.033616241067647934,
-0.04339277371764183,
-0.0051749832928180695,
0.02316286787390709,
-0.017184140160679817,
0.004032820928841829,
0.027411900460720062,
0.023219270631670952,
0.0136777488514781,
0.02180919423699379,
0.03974537551403046,
0.018039587885141373,
0.024760955944657326,
-0.01970347762107849,
-0.007238395977765322,
0.025588201358914375,
-0.010782389901578426,
-0.011703640222549438,
0.03126611188054085,
0.027280293405056,
0.08054360747337341,
-0.010406369343400002,
0.005579205229878426,
0.0135649424046278,
-0.0473409928381443,
-0.011026803404092789,
0.008789480663836002,
-0.009193703532218933,
0.034951113164424896,
-0.011299418285489082,
0.022072408348321915,
0.019966693595051765,
0.028615165501832962,
-0.0023701046593487263,
0.048093032091856,
-0.00419967994093895,
-0.03837290033698082,
0.013292327523231506,
0.041700683534145355,
0.0007144390838220716,
0.04053501784801483,
0.03393585607409477,
-0.019365059211850166,
-0.014110172167420387,
-0.014072570018470287,
-0.002287850249558687,
0.012295872904360294,
0.023275673389434814,
-0.03156692907214165,
-0.020643530413508415,
-0.0004312485980335623,
-0.010970400646328926,
-0.03903093561530113,
0.015990275889635086,
-0.0021538930013775826,
0.02449773997068405,
-0.009170201607048512,
-0.036022771149873734,
0.004545148927718401,
0.017719969153404236,
-0.012859904207289219,
-0.01904544234275818,
0.025287384167313576,
-0.005315991118550301,
0.02098194882273674,
-0.05253007635474205,
-0.041023846715688705,
0.012568487785756588,
0.0018836280796676874,
-0.009071496315300465,
-0.014636601321399212,
0.020474320277571678,
-0.0254001896828413,
0.056177474558353424,
0.0135273402556777,
-0.04256552830338478,
-0.003172673750668764,
-0.03485710918903351,
0.032864198088645935,
-0.0035768956877291203,
0.01874462515115738,
0.013085516169667244,
-0.030138049274683,
0.017870377749204636,
-0.010537976399064064,
-0.0559142604470253,
-0.030307259410619736,
0.03598516806960106,
0.011600234545767307,
-0.0930274948477745,
-0.016074879094958305,
-0.06275783479213715,
-0.008512166328728199,
-0.015924472361803055,
0.013959763571619987,
-0.021075952798128128,
0.007849429734051228,
0.0008049190510064363,
0.03502631559967995,
-0.015980875119566917,
0.030250854790210724,
0.06095293536782265,
-0.03809088468551636,
0.0014241778990253806,
-0.02502417005598545,
0.03357863798737526,
-0.04384399950504303,
-0.028126338496804237,
0.018932636827230453,
0.01903604157269001,
0.019985493272542953,
0.002958812052384019,
-0.014194777235388756,
-0.010368767194449902,
0.02951761521399021,
0.011468627490103245,
-0.019083043560385704,
0.029348406940698624,
-0.03034486062824726,
-0.022204015403985977,
0.008413460105657578,
-0.01602787710726261,
0.022655239328742027,
0.0026203934103250504,
-0.020117100328207016,
-0.031153304502367973,
0.047491397708654404,
0.01259668916463852,
-0.003059867536649108,
-0.02263643965125084,
-0.01045337226241827,
0.011102007701992989,
-0.033691443502902985,
-0.06922538578510284,
0.005917624104768038,
0.04557369276881218,
0.0238961074501276,
-0.025531796738505363,
-0.008648473769426346,
-0.056177474558353424,
0.029705625027418137,
0.02773151732981205,
-0.07565534114837646,
0.022222816944122314,
-0.015567252412438393,
0.011778844520449638,
0.010096152313053608,
0.002573390956968069,
0.0015064324252307415,
-0.007642618380486965,
0.016667112708091736,
0.014382787048816681,
0.042678337544202805,
-0.07306079566478729,
0.05388374999165535,
-0.024760955944657326,
0.00683887442573905,
-0.03459389507770538,
-0.007887031883001328,
-0.028370752930641174,
-0.009221904911100864,
0.02188439853489399,
-0.027994731441140175,
-0.003041066462174058,
0.029273202642798424,
0.018613018095493317,
0.023350877687335014,
-0.00509977899491787,
-0.000286568800220266,
0.011064405553042889,
-0.0034969914704561234,
-0.020436719059944153,
-0.026114629581570625,
0.03337182477116585,
-0.0014535546069964767,
-0.014937417581677437,
0.032036952674388885,
-0.0028060534968972206,
0.053996555507183075,
-0.01889503374695778,
0.01604667864739895,
-0.03521432727575302,
-0.0011938653187826276,
-0.022128811106085777,
0.007877631112933159,
-0.008869385346770287,
-0.03775246441364288,
-0.0335974395275116,
0.011440426111221313,
-0.017719969153404236,
0.027242690324783325,
0.004202030133455992,
0.03243177384138107,
0.02788192592561245,
-0.010895196348428726,
0.026697460561990738,
0.06648043543100357,
0.0470401756465435,
0.0011821147054433823,
0.0036944022867828608,
-0.022072408348321915,
0.007821228355169296,
-0.014796409755945206,
0.03560914844274521,
-0.00508097792044282,
0.03910614177584648,
-0.023144066333770752,
-0.04203910008072853,
0.03162332996726036,
-0.0302884578704834,
-0.0032478778157383204,
0.016056079417467117,
-0.04790502041578293,
0.03205575421452522,
-0.0073700034990906715,
0.033898256719112396,
0.034894708544015884,
-0.014410988427698612,
-0.012709495611488819,
0.006777770817279816,
0.0011033853515982628,
-0.015933871269226074,
0.021527178585529327,
-0.04181348904967308,
-0.03854211047291756,
0.03448108583688736,
-0.0041362266056239605,
-0.016667112708091736,
0.01442978996783495,
0.03827889636158943,
0.025964220985770226,
0.019741080701351166,
-0.028803177177906036,
-0.03333422541618347,
-0.012606089934706688,
0.006660264451056719,
-0.01760716363787651,
-0.027938328683376312,
-0.06189298629760742,
-0.016018476337194443,
0.035496342927217484,
-0.03574075549840927,
-0.02352008782327175,
0.030457666143774986,
0.03019445203244686,
0.015755262225866318,
-0.023877305909991264,
-0.016949128359556198,
-0.03230016678571701,
-0.01813359186053276,
0.07558013498783112,
-0.045084867626428604,
0.017522558569908142,
-0.0325445793569088,
-0.002258473541587591,
-0.003508741967380047,
0.02090674452483654,
0.0007068011909723282,
0.008230150677263737,
-0.029292002320289612,
-0.010096152313053608,
0.0031773739028722048,
0.042828742414712906,
-0.03230016678571701,
-0.009456917643547058,
-0.000474725995445624,
-0.020211106166243553,
-0.03974537551403046,
0.053996555507183075,
0.012465082108974457,
0.0061902389861643314,
-0.03049526922404766,
-0.03895573318004608,
0.03801568225026131,
0.032262567430734634,
0.004911768715828657,
0.07509130984544754,
0.004093924071639776,
0.018246399238705635,
0.004512247163802385,
-0.02494896575808525,
0.005814218427985907,
0.005170282907783985,
-0.007666119374334812,
-0.025907818228006363,
0.022053606808185577,
-0.01101740263402462,
-0.025983022525906563,
-0.02908519096672535,
-0.0270546805113554,
0.021978402510285378,
-0.010321765206754208,
0.011139609850943089,
-0.0051185800693929195
] |
Reasoning on knowledge graphs is a challenging task because it utilizes
observed information to predict the missing one. Particularly, answering
complex queries based on first-order logic is one of the crucial tasks to
verify learning to reason abilities for generalization and composition.
Recently, the prevailing method is query embedding which learns the embedding
of a set of entities and treats logic operations as set operations and has
shown great empirical success. Though there has been much research following
the same formulation, many of its claims lack a formal and systematic
inspection. In this paper, we rethink this formulation and justify many of the
previous claims by characterizing the scope of queries investigated previously
and precisely identifying the gap between its formulation and its goal, as well
as providing complexity analysis for the currently investigated queries.
Moreover, we develop a new dataset containing ten new types of queries with
features that have never been considered and therefore can provide a thorough
investigation of complex queries. Finally, we propose a new neural-symbolic
method, Fuzzy Inference with Truth value (FIT), where we equip the neural link
predictors with fuzzy logic theory to support end-to-end learning using complex
queries with provable reasoning capability. Empirical results show that our
method outperforms previous methods significantly in the new dataset and also
surpasses previous methods in the existing dataset at the same time. | [
-0.010038957931101322,
-0.011920131742954254,
-0.035887010395526886,
-0.01797063834965229,
0.0604146271944046,
-0.001480972277931869,
0.00017254457634408027,
0.019553357735276222,
-0.024437174201011658,
-0.011938219889998436,
0.05462639778852463,
-0.021615412086248398,
0.04160288721323013,
0.0036741679068654776,
-0.0624043308198452,
0.057122573256492615,
-0.006272087339311838,
-0.01383748184889555,
-0.05676080659031868,
-0.06189785897731781,
-0.04518435150384903,
0.007782453205436468,
-0.004456483293324709,
-0.004049498587846756,
0.029320990666747093,
0.009677193127572536,
0.022284677252173424,
0.02597467228770256,
-0.10599692165851593,
0.10758868604898453,
0.07181020081043243,
0.033354662358760834,
0.028145257383584976,
-0.01485042180866003,
-0.04417141154408455,
-0.007845762185752392,
0.0643940344452858,
-0.01062682457268238,
0.001595154171809554,
0.06110198050737381,
0.017446080222725868,
-0.03755112737417221,
-0.0083477096632123,
0.004110546316951513,
0.026354525238275528,
0.0021366700530052185,
0.022972028702497482,
-0.03874494880437851,
-0.0304062832146883,
-0.047354936599731445,
-0.016071375459432602,
0.0019128284184262156,
0.07879225164651871,
0.005521426443010569,
-0.017545565962791443,
0.03263113275170326,
0.04337553307414055,
-0.04113259166479111,
0.046667587012052536,
0.033969663083553314,
-0.024021144956350327,
0.012661748565733433,
-0.08110754191875458,
-0.028036728501319885,
-0.0002639748272486031,
-0.05122581496834755,
0.06942255795001984,
-0.01962571032345295,
0.02979128435254097,
-0.04037288948893547,
-0.0038957486394792795,
0.012553218752145767,
0.025504378601908684,
-0.04341170936822891,
-0.010952412150800228,
0.01821482926607132,
0.018287181854248047,
0.05252816528081894,
0.03391539677977562,
0.006787601392716169,
0.04739111289381981,
0.05748433619737625,
0.04963405430316925,
0.03181716427206993,
0.04974258318543434,
-0.029755108058452606,
0.017247110605239868,
-0.06443020701408386,
-0.0278739333152771,
0.016577845439314842,
-0.01836857944726944,
-0.07944342494010925,
-0.026806728914380074,
-0.055928751826286316,
0.022284677252173424,
0.009120980277657509,
-0.00337345153093338,
-0.019860856235027313,
-0.051587577909231186,
-0.004546924028545618,
-0.009469178505241871,
-0.010482118465006351,
0.013005424290895462,
-0.007135799620300531,
0.022899676114320755,
-0.07734519243240356,
-0.016722552478313446,
0.019788503646850586,
-0.035181570798158646,
0.13240571320056915,
-0.02626408264040947,
0.03896200656890869,
-0.03675524517893791,
-0.017717402428388596,
-0.005978154018521309,
-0.014352995902299881,
-0.035579513758420944,
-0.050972580909729004,
0.07669401913881302,
-0.017210934311151505,
0.00493355980142951,
0.048765819519758224,
0.02657158300280571,
-0.014045496471226215,
-0.0533602237701416,
0.07003755867481232,
-0.006728814914822578,
-0.039215244352817535,
-0.018884092569351196,
0.01726519875228405,
0.00024701713118702173,
0.005503338295966387,
-0.0003648731508292258,
-0.03311951458454132,
0.03241407498717308,
-0.014723803848028183,
0.021163208410143852,
0.05205787345767021,
-0.03874494880437851,
-0.04279670864343643,
-0.005792749579995871,
-0.04572699964046478,
-0.028705991804599762,
0.022284677252173424,
0.025305408984422684,
0.030116872861981392,
-0.031654369086027145,
0.06895226240158081,
0.020891884341835976,
0.00485668471083045,
-0.029737019911408424,
0.05788227915763855,
-0.01852232962846756,
0.0015521947061643004,
0.015890493988990784,
-0.029339078813791275,
0.02577570080757141,
-0.0027652352582663298,
0.04225406423211098,
-0.04619729146361351,
0.04659523442387581,
-0.03661054000258446,
0.014832333661615849,
-0.010156530886888504,
-0.025305408984422684,
0.07032696902751923,
0.014977038837969303,
-0.01940865069627762,
-0.03684568777680397,
0.032160840928554535,
-0.03530818969011307,
0.033463191241025925,
-0.014425348490476608,
0.03630303964018822,
0.011549322865903378,
0.02242938242852688,
0.0682649090886116,
0.01131417602300644,
-0.02564908377826214,
-0.02800055220723152,
-0.040409065783023834,
-0.021307913586497307,
0.010038957931101322,
0.04167523980140686,
0.025214966386556625,
0.008076386526226997,
0.055313751101493835,
-0.022773059085011482,
0.08342283219099045,
-0.014542922377586365,
-0.019571445882320404,
0.036791421473026276,
-0.0006415662355720997,
-0.03480171784758568,
-0.011305131949484348,
-0.07336578518152237,
-0.05896757170557976,
0.0023672946263104677,
0.00687352055683732,
-0.029556138440966606,
0.007257895078510046,
-0.05556698516011238,
-0.019282033666968346,
0.0042801229283213615,
0.046161115169525146,
0.010961456224322319,
0.015402112156152725,
-0.008845135569572449,
0.006701682228595018,
-0.008768260478973389,
-0.0037781752180308104,
0.02868790365755558,
-0.03201613575220108,
-0.07633225619792938,
-0.044135235249996185,
-0.02015026845037937,
-0.0068192556500434875,
-0.004662236664444208,
-0.03463892638683319,
-0.01631556637585163,
0.01121469121426344,
0.00877730455249548,
0.08226518332958221,
0.02608320116996765,
0.019770415499806404,
0.008189437910914421,
-0.0062856534495949745,
-0.020873796194791794,
-0.004883816931396723,
0.004628321155905724,
-0.018757475540041924,
0.008162305690348148,
0.015727700665593147,
-0.03903435915708542,
0.02163350209593773,
-0.014823289588093758,
0.003289793385192752,
-0.08877694606781006,
-0.003834700910374522,
0.04308611899614334,
0.008388408459722996,
-0.0671796202659607,
0.02326144091784954,
0.002021357649937272,
0.040915533900260925,
0.0012774799251928926,
-0.03018922545015812,
-0.007845762185752392,
-0.017473213374614716,
0.019661886617541313,
0.0006658722995780408,
0.0012492170790210366,
0.022483646869659424,
-0.015067480504512787,
-0.03561569005250931,
0.028109081089496613,
0.04370111972093582,
-0.003805307438597083,
-0.015628214925527573,
-0.025938495993614197,
0.08660636097192764,
0.016396963968873024,
0.033173780888319016,
-0.024075409397482872,
-0.02980937249958515,
0.004368303343653679,
0.024238204583525658,
-0.019101152196526527,
0.01297829207032919,
-0.014081672765314579,
0.010337413288652897,
-0.004657714627683163,
-0.030080696567893028,
0.007854806259274483,
0.016396963968873024,
-0.06048697978258133,
0.005114441737532616,
0.04098788648843765,
0.007728188298642635,
0.005046611186116934,
0.005720396991819143,
0.01605328731238842,
0.0021626718807965517,
0.012761233374476433,
0.006516278255730867,
-0.03523583710193634,
-0.010066090151667595,
-0.016071375459432602,
-0.03369833901524544,
-0.013882702216506004,
-0.01434395182877779,
0.004013321828097105,
-0.07047167420387268,
-0.010672044940292835,
0.01112425047904253,
0.023804087191820145,
0.01551064196974039,
-0.012408513575792313,
0.022085705772042274,
-0.0616084486246109,
-0.08125224709510803,
-0.011160426773130894,
0.015266451053321362,
0.00506017729640007,
-0.029972167685627937,
0.020873796194791794,
0.007443299051374197,
0.10382633656263351,
-0.05676080659031868,
-0.02244747057557106,
0.0023288573138415813,
0.03409627825021744,
-0.040228184312582016,
-0.015465420670807362,
0.038998182862997055,
0.025739524513483047,
0.01675872877240181,
-0.02637261338531971,
-0.03131069615483284,
-0.060052864253520966,
-0.029320990666747093,
-0.02074717916548252,
-0.08154165744781494,
0.011142338626086712,
0.007465909235179424,
0.009912339970469475,
0.031274519860744476,
0.035778481513261795,
-0.03630303964018822,
-0.029519962146878242,
-0.01012035459280014,
0.007181019987910986,
-0.03655627742409706,
0.01384652592241764,
0.01845902018249035,
-0.06102962791919708,
-0.020783355459570885,
0.0616084486246109,
0.005340544506907463,
-0.0333908386528492,
0.017654094845056534,
0.02365938015282154,
-0.014117849059402943,
-0.02355085127055645,
0.021922912448644638,
-0.0639960914850235,
0.07741754502058029,
-0.01790732890367508,
0.014542922377586365,
0.009035062044858932,
0.0010038957698270679,
0.01021983940154314,
-0.06573256105184555,
-0.025540554895997047,
0.05205787345767021,
-0.035579513758420944,
-0.029519962146878242,
-0.006358006503432989,
0.010997632518410683,
0.052709050476551056,
-0.03389731049537659,
-0.07235284894704819,
-0.028217609971761703,
0.04276053234934807,
-0.11504102498292923,
-0.042326416820287704,
-0.020711002871394157,
0.018422843888401985,
0.007411644794046879,
-0.02961040288209915,
-0.041530534625053406,
0.05021287500858307,
0.033047161996364594,
-0.008691385388374329,
-0.05021287500858307,
0.02224850095808506,
0.003047863719984889,
0.0021434531081467867,
0.029122021049261093,
0.03371642529964447,
0.007266939152032137,
-0.009288297034800053,
0.01213719043880701,
0.04239876940846443,
-0.01519409753382206,
0.027747316285967827,
0.008637120947241783,
-0.039794065058231354,
-0.030134961009025574,
0.006344440393149853,
-0.004196465015411377,
-0.008361276239156723,
-0.04456935450434685,
-0.05791845545172691,
0.0761151984333992,
-0.008718517608940601,
-0.014235422946512699,
0.009075759910047054,
0.02165159024298191,
0.008121606893837452,
-0.006462013814598322,
0.01162167638540268,
-0.025920407846570015,
-0.043918177485466,
0.000566952396184206,
-0.008266313001513481,
0.013059688732028008,
0.011847778223454952,
0.0014900164678692818,
0.030134961009025574,
-0.006050506606698036,
0.016767771914601326,
0.03150966390967369,
-0.049272287636995316,
0.017590785399079323,
0.06251285970211029,
-0.03311951458454132,
0.02043967880308628,
0.011775425635278225,
0.0011700812028720975,
-0.018594682216644287,
0.00102141872048378,
0.020313061773777008,
-0.03559760004281998,
-0.033354662358760834,
0.013728952966630459,
0.0329386331140995,
0.015085568651556969,
-0.02376791089773178,
-0.07922636717557907,
-0.013050644658505917,
-0.027530258521437645,
0.06779462099075317,
-0.009821899235248566,
-0.01741894707083702,
-0.011187558993697166,
0.024310557171702385,
0.011241823434829712,
-0.04185612127184868,
-0.02002364955842495,
0.015637259930372238,
-0.018594682216644287,
0.0006438273121602833,
-0.013276747427880764,
-0.03402392566204071,
0.019064975902438164,
-0.023388057947158813,
-0.014108804985880852,
-0.03027966618537903,
0.017545565962791443,
0.0065569765865802765,
-0.0025097394827753305,
-0.059329334646463394,
-0.01188395544886589,
0.07228049635887146,
0.0026001804508268833,
0.029122021049261093,
-0.022067617624998093,
0.06092109531164169,
-0.05437316372990608,
0.005670654587447643,
0.0643940344452858,
-0.023026293143630028,
-0.020294973626732826,
0.005222971085458994,
0.012164322659373283,
0.02454570308327675,
-0.02999025583267212,
-0.006109293550252914,
0.02242938242852688,
0.0019060453632846475,
-0.0027087097987532616,
-0.018866004422307014,
-0.01163072045892477,
-0.007705578114837408,
-0.00523653719574213,
0.027331287041306496,
-0.014823289588093758,
0.039794065058231354,
0.02376791089773178,
0.03324613347649574,
0.04901905357837677,
0.024527614936232567,
-0.0011011199094355106,
0.022212324663996696,
0.0333908386528492,
0.048476409167051315,
-0.001961440546438098,
0.02286349982023239,
-0.04015583172440529,
-0.011287043802440166,
-0.03841936215758324,
-0.005177750717848539,
-0.02687908336520195,
0.0066700279712677,
-0.013692776672542095,
-0.027729228138923645,
-0.05466257408261299,
0.02897731587290764,
0.005037567112594843,
0.00843362882733345,
-0.002204500837251544,
-0.03160010650753975,
0.07032696902751923,
0.004049498587846756,
0.06569638848304749,
-0.0024780849926173687,
0.04341170936822891,
-0.036990392953157425,
0.007018226198852062,
0.004051759373396635,
-0.03986641764640808,
-0.004693890921771526,
-0.029031580314040184,
-0.00022680922120343894,
0.005589257460087538,
0.025902319699525833,
-0.026137465611100197,
0.025938495993614197,
0.021199384704232216,
0.017581742256879807,
0.004076630808413029,
-0.0017104665748775005,
0.039613183587789536,
-0.03733406960964203,
0.03100319392979145,
0.021307913586497307,
-0.014705715700984001,
-0.02474467270076275,
-0.004255251958966255,
-0.009903295896947384,
0.02937525510787964,
-0.014208290725946426,
0.010129398666322231,
0.012019616551697254,
0.011106162331998348,
0.039902593940496445,
0.03199804574251175,
0.019499091431498528,
-0.044135235249996185,
-0.004078891593962908,
0.041096415370702744,
-0.021868648007512093,
0.03261304646730423,
-0.008659731596708298,
-0.0004937516641803086,
0.03737024590373039,
-0.02015026845037937,
0.027222758159041405,
0.02344232238829136,
0.030080696567893028,
-0.03310142830014229,
-0.026227906346321106,
-0.02062056213617325,
0.04760817438364029,
0.001088118995539844,
0.04366494342684746,
-0.005462639965116978,
0.017075272276997566,
-0.01248991023749113,
0.006330874282866716,
0.014515790157020092,
-0.013638511300086975,
-0.007013704162091017,
0.03058716654777527,
-0.03554333746433258,
-0.008329621516168118,
0.0021084072068333626,
-0.027150405570864677,
0.02778349258005619,
-0.01603519916534424,
-0.016288435086607933,
-0.04569082334637642,
-0.00851050391793251,
0.010256015695631504,
0.0068554324097931385,
0.0022214585915207863,
-0.0048973835073411465,
-0.003868616186082363,
0.014570054598152637,
0.020457766950130463,
-0.014081672765314579,
-0.007081534713506699,
0.060342274606227875,
0.03147348761558533,
-0.005118963774293661,
-0.037876714020967484,
-0.032956723123788834,
0.04098788648843765,
0.02545011416077614,
-0.010482118465006351,
0.05936551094055176,
-0.02313482202589512,
-0.002349206479266286,
0.02101850137114525,
0.007958813570439816,
0.009975648485124111,
0.013557114638388157,
0.036284953355789185,
-0.03590510040521622,
-0.03290245682001114,
-0.03319186717271805,
0.02910393290221691,
-0.0014900164678692818,
0.002889591734856367,
-0.015718655660748482,
-0.003653818741440773,
-0.02809099294245243,
-0.008876790292561054,
0.036682892590761185,
0.00927020888775587,
-0.04598023369908333,
0.025793788954615593,
-0.07188255339860916,
0.034765541553497314,
-0.001480972277931869,
0.020276885479688644,
-0.010337413288652897,
-0.014660495333373547,
0.0030998673755675554,
0.014895642176270485,
-0.04851258546113968,
0.03102128393948078,
-0.0231529101729393,
0.006837343797087669,
0.05846109986305237,
-0.0005299280746839941,
-0.025902319699525833,
-0.03415054455399513,
-0.019481003284454346,
-0.017807845026254654,
0.006706204265356064,
0.01208292506635189,
0.0016539408825337887,
0.004112807102501392,
0.008632599376142025,
0.0009349344181828201,
0.08696812391281128,
0.04359259083867073,
0.001894740154966712,
-0.04388200119137764,
-0.023713644593954086,
-0.024581879377365112,
0.023930704221129417,
-0.0015035825781524181,
0.009812855161726475,
0.009740501642227173,
0.02264644019305706,
0.03997494652867317,
0.03896200656890869,
0.012517042458057404,
0.021416442468762398,
0.02859746292233467,
0.04800611361861229,
-0.026426877826452255,
0.005620911717414856,
0.02384026348590851,
-0.021705854684114456,
-0.010653956793248653,
0.04218170791864395,
0.039106715470552444,
0.030569078400731087,
0.021814383566379547,
-0.006982049904763699,
-0.010536382906138897,
-0.034186720848083496,
0.0014063584385439754,
0.01232711598277092,
0.010907191783189774,
0.04681229218840599,
-0.002159280236810446,
-0.00280367280356586,
-0.05828021839261055,
0.023514674976468086,
0.02930290251970291,
-0.039902593940496445,
-0.005743007175624371,
-0.007601570803672075,
0.009378737770020962,
-0.015474464744329453,
-0.02646305412054062,
0.023026293143630028,
-0.009921384043991566,
-0.06356197595596313,
-0.020096004009246826,
0.001755687058903277,
-0.01911924034357071,
-0.007307637482881546,
0.003986189607530832,
0.03615833446383476,
0.016595933586359024,
-0.028633639216423035,
-0.018440932035446167,
0.006326352246105671,
-0.02163350209593773,
-0.00475719990208745,
0.008519547991454601,
-0.01358424685895443,
-0.027711139991879463,
-0.029429519549012184,
-0.025015996769070625,
0.018314315006136894,
0.03212466463446617,
0.007181019987910986,
0.010328369215130806,
0.002857937477529049,
0.024111585691571236,
-0.01838666759431362,
-0.010183663107454777,
-0.029266726225614548,
-0.0003648731508292258,
0.01519409753382206,
0.033879220485687256,
0.02999025583267212,
-0.003913837019354105,
0.01468762755393982,
0.029122021049261093,
-0.008370320312678814,
0.023822175338864326,
0.014615274965763092,
0.0026476620696485043,
0.01655975729227066,
-0.014163069427013397,
-0.009134546853601933,
-0.03472936525940895,
0.012173366732895374,
-0.0033417970407754183,
0.03816612809896469,
0.0016109813004732132,
0.007502085994929075,
0.0451119989156723,
0.009170723147690296,
0.01901070959866047,
0.012896894477307796,
0.013376232236623764,
-0.007298593409359455,
0.02456379123032093,
0.014108804985880852,
-0.013321967795491219,
-0.062151096761226654,
0.02917628549039364,
-0.02919437363743782,
0.0008179263095371425,
-0.015836229547858238,
-0.03069569543004036,
0.00047142402036115527,
0.02145261876285076,
0.009342561475932598,
0.00895366445183754,
0.004449700005352497,
0.028470845893025398,
-0.058135513216257095,
0.014515790157020092,
-0.01953526772558689,
-0.025341585278511047,
-0.012164322659373283,
0.032974809408187866,
-0.030171137303113937,
-0.008383885957300663,
-0.023822175338864326,
-0.002223719609901309,
0.031672459095716476,
-0.02968275547027588,
0.00016731595678720623,
0.07879225164651871,
-0.015374979935586452,
-0.0608125664293766,
0.007651313673704863,
-0.011060941033065319,
-0.07039932161569595,
0.037406422197818756,
-0.018251005560159683,
0.037406422197818756,
-0.03029775433242321,
-0.003796263365074992,
0.006520800292491913,
-0.033879220485687256,
0.0004185725119896233,
-0.03320995718240738,
0.011847778223454952,
-0.01524836290627718,
-0.017229022458195686,
-0.04030053690075874,
0.029447607696056366,
-0.0084471944719553,
-0.021705854684114456,
0.014868509955704212,
-0.03149157762527466,
0.04265200346708298,
0.00019911164417862892,
-0.004526575095951557,
0.004399957600980997,
0.03393348678946495,
0.027204670011997223,
0.058931395411491394,
-0.020077915862202644,
-0.005856058560311794,
-0.03874494880437851,
-0.02154305949807167,
-0.040915533900260925,
0.024618055671453476,
0.005191316828131676,
0.037008482962846756,
0.030243489891290665,
-0.022574087604880333,
0.00860998872667551,
-0.03197995945811272,
0.03194378316402435,
-0.03655627742409706,
0.042109355330467224,
0.005946499761193991,
-0.00687352055683732,
0.051804639399051666,
0.022375117987394333,
0.02143453061580658,
-0.005779183469712734,
-0.017916373908519745,
0.02897731587290764,
-0.02445526234805584,
0.01222763117402792,
-0.03141922503709793,
-0.05889521539211273,
0.020258797332644463,
-0.017482256516814232,
-0.025793788954615593,
-0.061463743448257446,
0.04087935760617256,
-0.003891226602718234,
0.04127730056643486,
-0.046559058129787445,
-0.001762470114044845,
0.03615833446383476,
-0.044533178210258484,
0.011947263963520527,
-0.06265756487846375,
0.040626123547554016,
-0.010789617896080017,
-0.022592175751924515,
0.02705996483564377,
0.060631684958934784,
-0.06956726312637329,
0.015592038631439209,
-0.026408789679408073,
-0.010843883268535137,
-0.025106437504291534,
0.013539026491343975,
0.010518294759094715,
-0.01036454550921917,
-0.009075759910047054,
0.049380816519260406,
0.023388057947158813,
-0.000053699379350291565,
0.04702934995293617,
-0.02376791089773178,
0.0015024520689621568,
-0.033770691603422165,
0.022067617624998093,
0.04427994042634964,
-0.011965352110564709,
0.011929175816476345,
0.019462915137410164,
-0.05151522532105446,
0.014606230892241001,
-0.03138304874300957,
0.01940865069627762,
-0.03556142374873161,
0.003893487621098757,
-0.059835802763700485,
-0.02235702984035015,
-0.020258797332644463,
0.020204532891511917,
-0.0455099418759346,
-0.0164964497089386,
0.07966048270463943,
0.0066926381550729275,
0.0021084072068333626,
-0.021506883203983307,
0.007954291068017483,
0.026028936728835106,
-0.02545011416077614,
-0.019806591793894768,
-0.0017726446967571974,
0.02897731587290764,
-0.010400721803307533,
0.012498954311013222,
0.0053450665436685085,
-0.0015861100982874632,
-0.050466109067201614,
0.008438150398433208,
-0.044352296739816666,
-0.03270348533987999,
0.0600166879594326,
-0.03585083410143852,
-0.024997908622026443,
0.02103658951818943,
0.003129260614514351,
-0.0016912478022277355,
0.08175871521234512,
-0.016876300796866417,
-0.04077082872390747,
0.010256015695631504,
-0.022664528340101242,
0.01795255020260811,
-0.03322804346680641,
0.003312403801828623,
-0.03744259849190712,
-0.02163350209593773,
0.007366424426436424,
0.02968275547027588,
0.010319325141608715,
-0.014126893132925034,
-0.00339832273311913,
-0.007212674245238304,
-0.033065252006053925,
-0.008053775876760483,
-0.0017771668499335647,
-0.0659857988357544,
-0.03089466504752636,
0.01797063834965229,
0.028561286628246307,
0.0420370027422905,
0.050176698714494705,
0.050683170557022095,
0.04782523214817047,
0.003217440564185381,
-0.014325863681733608,
-0.026933347806334496,
-0.008795392699539661,
0.01182064600288868,
-0.008619032800197601,
-0.045365236699581146,
0.02255599945783615,
0.02304438129067421,
0.007416166830807924,
0.020656738430261612,
-0.02376791089773178,
-0.00817134976387024,
-0.010527338832616806,
0.016306523233652115,
-0.00641679298132658,
-0.044352296739816666,
-0.014606230892241001,
-0.009487266652286053,
-0.002801411785185337,
0.013321967795491219,
-0.007791497278958559,
0.043845824897289276,
0.006660983897745609,
-0.03463892638683319,
0.03445804491639137,
-0.006244955118745565,
-0.000868234143126756,
0.031147900968790054,
-0.027041876688599586,
0.008750172331929207,
-0.023514674976468086,
-0.02185055986046791,
-0.026499230414628983,
0.028018640354275703,
0.0011847778223454952,
0.012598439119756222,
0.004461005330085754,
-0.0066338516771793365,
-0.016523580998182297,
-0.020475855097174644,
0.005476206075400114,
-0.02224850095808506,
-0.050068169832229614,
-0.07126755267381668,
0.019987473264336586,
0.020982325077056885,
0.029339078813791275,
0.017590785399079323,
0.04030053690075874,
0.054192282259464264,
-0.009830943308770657,
0.03878112509846687,
0.012281895615160465,
-0.008252746425569057,
0.03434951230883598,
0.031672459095716476,
0.02968275547027588,
0.009211421944200993,
0.06055933237075806,
-0.004026887938380241,
0.0064574917778372765,
0.04427994042634964,
0.0032061354722827673,
0.023297617211937904,
0.01499512791633606,
0.011802557855844498,
0.008664253167808056,
0.0025979194324463606,
0.01746416836977005,
-0.04087935760617256,
0.04901905357837677,
-0.0018088212236762047,
0.016586890444159508,
0.035073041915893555,
0.012643660418689251,
-0.001651679864153266,
-0.006570542696863413,
-0.016107551753520966,
0.005191316828131676,
0.014524834230542183,
-0.02427438087761402,
0.005770139396190643,
-0.01213719043880701,
-0.010093222372233868,
0.05408375337719917,
-0.00835675373673439,
0.0011423836695030332,
-0.020982325077056885,
0.0404452420771122,
-0.036863774061203,
-0.027041876688599586,
-0.02456379123032093,
0.01399123203009367,
-0.039794065058231354,
-0.026119377464056015,
-0.020801443606615067,
-0.04366494342684746,
0.016677331179380417,
-0.027946287766098976
] |
The rapid adoption of Internet of Things (IoT) devices in healthcare has
introduced new challenges in preserving data privacy, security and patient
safety. Traditional approaches need to ensure security and privacy while
maintaining computational efficiency, particularly for resource-constrained IoT
devices. This paper proposes a novel hybrid approach combining federated
learning and blockchain technology to provide a secure and privacy-preserved
solution for IoT-enabled healthcare applications. Our approach leverages a
public-key cryptosystem that provides semantic security for local model
updates, while blockchain technology ensures the integrity of these updates and
enforces access control and accountability. The federated learning process
enables a secure model aggregation without sharing sensitive patient data. We
implement and evaluate our proposed framework using EMNIST datasets,
demonstrating its effectiveness in preserving data privacy and security while
maintaining computational efficiency. The results suggest that our hybrid
approach can significantly enhance the development of secure and
privacy-preserved IoT-enabled healthcare applications, offering a promising
direction for future research in this field. | [
-0.06803534179925919,
0.0516027994453907,
-0.020581843331456184,
-0.019132882356643677,
0.0681670680642128,
0.0006385517190210521,
0.025258038192987442,
0.01998908631503582,
-0.0248628668487072,
0.01824374683201313,
0.03582887351512909,
-0.050614871084690094,
-0.0010162285761907697,
-0.015304658561944962,
0.002659174147993326,
0.04715711995959282,
-0.011805745773017406,
-0.0534469299018383,
0.030345870181918144,
-0.06941844522953033,
0.023282181471586227,
0.00001865229569375515,
0.012876001186668873,
-0.07593876868486404,
0.06398483365774155,
0.04300782084465027,
0.06701448559761047,
0.02229425311088562,
-0.06915499269962311,
0.04844142869114876,
0.005026086233556271,
0.017815643921494484,
-0.0598684661090374,
-0.05387503281235695,
0.0027394434437155724,
-0.01262078620493412,
0.02636122517287731,
0.058814674615859985,
-0.01500828005373478,
0.008627909235656261,
0.017107628285884857,
-0.014654272235929966,
-0.021948477253317833,
0.045016609132289886,
0.01649017259478569,
-0.01345229335129261,
-0.028139496222138405,
-0.03941834717988968,
-0.03087276592850685,
0.024829935282468796,
-0.039648864418268204,
-0.0884525328874588,
0.04274437204003334,
-0.06490690261125565,
-0.016786551102995872,
0.0016588965663686395,
0.04890245944261551,
0.007804634980857372,
0.07751945406198502,
-0.013987421058118343,
-0.0396159328520298,
0.016251424327492714,
-0.004717358388006687,
-0.01487655658274889,
-0.006557375192642212,
0.012151520699262619,
0.011081264354288578,
0.05305175855755806,
0.026921050623059273,
-0.020515982061624527,
-0.04043920710682869,
0.05222848802804947,
0.034511636942625046,
-0.008175108581781387,
-0.01602090708911419,
-0.01593858003616333,
-0.00759881641715765,
0.043699368834495544,
0.034676291048526764,
0.002504810458049178,
0.027135102078318596,
0.004865547642111778,
0.010216827504336834,
-0.02267295867204666,
0.050055041909217834,
0.025472089648246765,
-0.023611491546034813,
-0.07448980957269669,
0.03434697911143303,
0.00976402685046196,
-0.053842101246118546,
0.010875445790588856,
-0.01639137975871563,
0.0014180890284478664,
0.008636141195893288,
-0.009492346085608006,
-0.012645484879612923,
-0.04228334128856659,
-0.056048475205898285,
-0.02570260688662529,
-0.0025006940122693777,
0.07304084300994873,
-0.026674069464206696,
0.016737155616283417,
-0.013707507401704788,
-0.05380917340517044,
0.031070351600646973,
0.023529164493083954,
0.02506045252084732,
0.08417150378227234,
-0.03839748725295067,
-0.009492346085608006,
-0.017008835449814796,
0.05334813892841339,
-0.03628990799188614,
0.016251424327492714,
0.0012585797812789679,
-0.03372129425406456,
-0.0070142922922968864,
-0.006166320294141769,
0.019396329298615456,
0.05815605819225311,
-0.015502244234085083,
0.02384200692176819,
-0.03862800449132919,
0.06378725171089172,
0.027200965210795403,
-0.05469830706715584,
0.00885019265115261,
0.03401767089962959,
0.017980298027396202,
0.046926602721214294,
-0.010809584520757198,
-0.05018676817417145,
0.043435923755168915,
0.0085208835080266,
0.03484094515442848,
-0.002570672193542123,
0.004717358388006687,
-0.0423821322619915,
-0.011838676407933235,
-0.015823321416974068,
-0.044456783682107925,
0.02726682648062706,
0.02698691375553608,
0.03935248404741287,
-0.02219546027481556,
0.026394156739115715,
0.02809010073542595,
0.008117479272186756,
-0.043337129056453705,
0.040768515318632126,
0.07949531078338623,
-0.0070472233928740025,
0.08825494349002838,
-0.01989029347896576,
0.08186633884906769,
-0.016424311324954033,
-0.010101568885147572,
-0.01712409406900406,
0.05331520736217499,
-0.034050602465867996,
0.03207474574446678,
0.05275538191199303,
0.045543503016233444,
0.04639970883727074,
0.01924814097583294,
0.0294732004404068,
-0.05239314213395119,
0.0516027994453907,
-0.025537950918078423,
-0.010537903755903244,
-0.014152076095342636,
0.0019079368794336915,
-0.013147681951522827,
0.005384210497140884,
0.037804730236530304,
-0.06948430091142654,
-0.026295363903045654,
-0.024484161287546158,
-0.0032622222788631916,
0.030724575743079185,
0.03087276592850685,
-0.011855142191052437,
0.021767357364296913,
0.03602645918726921,
0.03148198872804642,
-0.007133666891604662,
0.010381481610238552,
-0.050252627581357956,
-0.009796957485377789,
0.012357339262962341,
0.03288155421614647,
-0.05150400474667549,
-0.017272282391786575,
-0.05021969974040985,
0.046070396900177,
-0.006973128765821457,
0.017338145524263382,
-0.026295363903045654,
-0.019017623737454414,
-0.003599764546379447,
-0.03391887992620468,
-0.027958376333117485,
0.008504417724907398,
0.013328801840543747,
0.03240405395627022,
-0.023446835577487946,
0.01220915000885725,
0.019742105156183243,
-0.04936349391937256,
0.050516076385974884,
-0.028304152190685272,
-0.046564362943172455,
0.01482716016471386,
-0.010150965303182602,
-0.010332085192203522,
-0.04373230040073395,
-0.01500828005373478,
0.045741088688373566,
0.021849684417247772,
-0.025636743754148483,
0.020795894786715508,
-0.035894736647605896,
0.0027867816388607025,
0.008187456987798214,
-0.022146062925457954,
0.09135045111179352,
0.004779104143381119,
0.02366088703274727,
0.024105455726385117,
0.0021261044312268496,
0.013649879023432732,
0.03576301038265228,
0.005034319125115871,
-0.05031849071383476,
0.01267018262296915,
-0.00005788643466075882,
-0.01824374683201313,
-0.0031963603105396032,
-0.015773924067616463,
0.012464364059269428,
-0.060296569019556046,
-0.04034041240811348,
0.04132834076881409,
0.029226217418909073,
-0.07600463181734085,
0.12540104985237122,
0.003813815535977483,
0.058979332447052,
0.028666391968727112,
-0.015140004456043243,
0.006059294566512108,
-0.003785001114010811,
-0.0479145310819149,
-0.038265764713287354,
-0.035137321799993515,
-0.08120772242546082,
0.04001110419631004,
-0.02265649288892746,
0.05920984596014023,
-0.021948477253317833,
-0.015362287871539593,
0.0202525332570076,
0.04244799539446831,
0.0020396606996655464,
0.09319458901882172,
0.05598261579871178,
0.03945127874612808,
-0.04070265218615532,
-0.028863977640867233,
-0.020845290273427963,
-0.02293640561401844,
0.005207206588238478,
-0.02054891176521778,
-0.0021096388809382915,
-0.029045097529888153,
-0.03322732821106911,
-0.0014777763281017542,
0.025109849870204926,
0.034050602465867996,
-0.03586180508136749,
0.034577496349811554,
-0.008105129934847355,
-0.016975903883576393,
-0.019956154748797417,
-0.04524712637066841,
0.0012379979016259313,
-0.021240463480353355,
0.0012266779085621238,
-0.014020351693034172,
-0.025867260992527008,
-0.006335091311484575,
-0.0016516929026693106,
0.040933169424533844,
-0.017272282391786575,
0.012843070551753044,
-0.002760025206953287,
-0.01677831821143627,
-0.0007311700028367341,
-0.04248092696070671,
-0.053117621690034866,
0.01110596302896738,
0.028863977640867233,
0.002401901176199317,
-0.0024986357893794775,
-0.004367467015981674,
0.03530197963118553,
-0.025126313790678978,
-0.03278275951743126,
-0.0074012307450175285,
-0.012925397604703903,
-0.05282124504446983,
-0.08173462003469467,
0.011748116463422775,
0.03031293861567974,
-0.009311226196587086,
0.04073558375239372,
-0.01814495399594307,
-0.03298034518957138,
0.023825543001294136,
0.04366644099354744,
-0.07290912419557571,
0.03215707093477249,
-0.018210815265774727,
-0.04870487377047539,
0.03372129425406456,
-0.02091115340590477,
-0.004449794534593821,
0.008669072762131691,
-0.03711317852139473,
-0.040307480841875076,
-0.1013614609837532,
-0.02347976714372635,
0.04208575189113617,
-0.020203137770295143,
-0.0634908676147461,
0.01989029347896576,
-0.02193201333284378,
-0.016095001250505447,
0.010883678682148457,
-0.0699453353881836,
-0.07857324928045273,
-0.005746450740844011,
0.003999052103608847,
0.019495122134685516,
-0.03711317852139473,
0.04004403576254845,
0.02081236056983471,
-0.01261255331337452,
0.0007939446368254721,
0.010858980938792229,
-0.04264558106660843,
-0.02846880629658699,
-0.009385320357978344,
-0.017552196979522705,
0.03345784544944763,
-0.04478609189391136,
-0.05403968691825867,
-0.005186624359339476,
0.039550069719552994,
-0.0216356348246336,
-0.030823368579149246,
0.004548587370663881,
-0.040933169424533844,
-0.034412842243909836,
-0.026311829686164856,
-0.024352436885237694,
-0.010521437972784042,
0.03240405395627022,
-0.035927664488554,
0.006940197665244341,
-0.006820823065936565,
0.0350055992603302,
0.005972851067781448,
-0.04448971152305603,
-0.00568882143124938,
-0.020104344934225082,
0.023265715688467026,
0.06207484006881714,
0.006734379101544619,
-0.01723935268819332,
-0.01118829008191824,
0.016638362780213356,
0.023512698709964752,
0.04567522555589676,
0.02347976714372635,
-0.027612600475549698,
0.015304658561944962,
0.032486382871866226,
0.009080708958208561,
-0.01593034714460373,
-0.0014746891101822257,
-0.038002315908670425,
0.0893087387084961,
-0.03235465660691261,
0.03517025336623192,
-0.013172379694879055,
0.03138319402933121,
-0.04567522555589676,
-0.004139008931815624,
0.013847464695572853,
-0.02608131244778633,
-0.021800288930535316,
-0.016926508396863937,
-0.01722288690507412,
-0.027941910549998283,
0.03655335307121277,
0.04686073958873749,
-0.025472089648246765,
-0.024006662890315056,
-0.02478053979575634,
0.019363397732377052,
-0.004248092416673899,
-0.014242636039853096,
-0.01732167974114418,
-0.0709991306066513,
0.005960501730442047,
-0.005445955786854029,
-0.0051166461780667305,
-0.005491235759109259,
-0.006433884147554636,
0.04939642548561096,
-0.013295871205627918,
-0.010875445790588856,
-0.007261274382472038,
0.002030398929491639,
-0.020746497437357903,
0.03001656010746956,
0.03566421940922737,
0.026657603681087494,
0.01492595300078392,
0.014012118801474571,
-0.0562131293118,
-0.027793722227215767,
-0.011385875754058361,
0.010480274446308613,
0.0030605201609432697,
-0.01760159246623516,
0.0019470424158498645,
0.009327691048383713,
0.029802508652210236,
-0.05795847252011299,
0.010216827504336834,
-0.019939690828323364,
-0.007788169663399458,
0.00550358509644866,
-0.013460525311529636,
-0.0478815995156765,
-0.05848536640405655,
-0.01400388590991497,
0.07139430195093155,
-0.06941844522953033,
-0.04356764629483223,
0.030329404398798943,
-0.029917767271399498,
0.032107677310705185,
-0.05736571550369263,
0.046761948615312576,
-0.03232172876596451,
-0.010068638250231743,
0.04725591465830803,
-0.006594422738999128,
0.015485779382288456,
-0.007981639355421066,
0.01381453312933445,
-0.017387541010975838,
-0.07857324928045273,
-0.0006174552836455405,
-0.0041451831348240376,
0.006577957421541214,
-0.01514823641628027,
0.013575783930718899,
0.004474492743611336,
-0.007841682061553001,
-0.009582906030118465,
0.04386402666568756,
0.008014569990336895,
0.00501785334199667,
-0.050153836607933044,
0.006228066049516201,
0.03148198872804642,
0.04442385211586952,
-0.05367744714021683,
-0.026377690955996513,
0.06161380559206009,
0.009920448996126652,
-0.009492346085608006,
0.00511252973228693,
-0.020219603553414345,
-0.007849914953112602,
-0.06922085583209991,
-0.006948430556803942,
-0.04313954338431358,
0.033754222095012665,
-0.03195948526263237,
-0.018902365118265152,
0.02504398673772812,
0.03340844810009003,
0.014300265349447727,
0.033375516533851624,
-0.009566441178321838,
0.007084270473569632,
0.015271727927029133,
-0.046465568244457245,
-0.025817865505814552,
0.004795569460839033,
-0.033573102205991745,
-0.03401767089962959,
0.03885852172970772,
0.013938024640083313,
0.042876098304986954,
-0.004902595188468695,
-0.04323833808302879,
-0.033194396644830704,
0.026789328083395958,
-0.014637807384133339,
-0.028781650587916374,
-0.0026406506076455116,
0.05463244393467903,
0.0035977063234895468,
0.06062587723135948,
-0.00550358509644866,
0.021388651803135872,
-0.025455623865127563,
0.014678970910608768,
0.023051664233207703,
-0.0037561864592134953,
0.02975311316549778,
-0.013946257531642914,
-0.03935248404741287,
-0.0017052057664841413,
-0.07356774061918259,
-0.02395726554095745,
0.02377614565193653,
-0.0018204640364274383,
-0.009056011214852333,
-0.004919060505926609,
0.006569724529981613,
-0.04073558375239372,
-0.031910091638565063,
0.02524157240986824,
0.02726682648062706,
0.01630081981420517,
0.010611998848617077,
-0.004980806261301041,
0.044160403311252594,
-0.05483002960681915,
0.009747561067342758,
-0.010842515155673027,
0.00875139981508255,
-0.008636141195893288,
-0.034775082021951675,
0.03093862719833851,
-0.010167431086301804,
-0.041229549795389175,
0.06395190209150314,
-0.040669724345207214,
-0.01760159246623516,
-0.01095777377486229,
-0.010793118737637997,
-0.002667407039552927,
-0.011550530791282654,
-0.03563128784298897,
0.011822210624814034,
-0.0515698678791523,
0.006162203848361969,
0.05331520736217499,
-0.007631747517734766,
0.015913881361484528,
0.0048902458511292934,
-0.05028555914759636,
-0.012242080643773079,
-0.008323297835886478,
0.00021508026111405343,
-0.007084270473569632,
0.04771694540977478,
0.029160356149077415,
-0.004482725635170937,
0.05041728541254997,
-0.03480801358819008,
0.027382085099816322,
0.0014499909011647105,
0.048309702426195145,
0.025356831029057503,
0.047124188393354416,
-0.015271727927029133,
-0.03540077060461044,
0.0008510592160746455,
-0.020680636167526245,
0.006026363931596279,
-0.015074142254889011,
-0.04929763078689575,
0.014143843203783035,
-0.00239366851747036,
0.005326581187546253,
0.010241525247693062,
0.002424541162326932,
0.020565377548336983,
-0.03447870537638664,
-0.03767300769686699,
0.03507146239280701,
0.012217381969094276,
0.04495074599981308,
0.012176218442618847,
0.03111974708735943,
0.011756349354982376,
-0.0018513367976993322,
-0.0216356348246336,
-0.02590019255876541,
0.05631192401051521,
-0.015041211619973183,
0.01712409406900406,
-0.02955552749335766,
0.032568708062171936,
0.014580178074538708,
0.026460018008947372,
-0.008438555523753166,
-0.021339256316423416,
0.0038282228633761406,
0.027497343719005585,
-0.02469821274280548,
0.008228621445596218,
0.028600530698895454,
0.032371122390031815,
0.014481385238468647,
0.0033527822233736515,
-0.030362335965037346,
0.005952269304543734,
-0.032305262982845306,
-0.008907821960747242,
-0.029884837567806244,
0.021438049152493477,
-0.0368168018758297,
-0.021306324750185013,
-0.023693818598985672,
0.00842620711773634,
0.03549956530332565,
0.014012118801474571,
0.050516076385974884,
-0.020878221839666367,
0.028139496222138405,
0.03003302589058876,
0.07396291196346283,
-0.020499516278505325,
-0.002961727324873209,
0.029160356149077415,
-0.01770038530230522,
0.04014282673597336,
0.03573007881641388,
-0.003007007297128439,
-0.0016352274687960744,
0.0202689990401268,
0.03143259137868881,
-0.014563712291419506,
-0.04633384570479393,
-0.01267018262296915,
0.02782665193080902,
-0.02524157240986824,
0.002961727324873209,
0.042513854801654816,
0.034577496349811554,
-0.008455021306872368,
0.0395830012857914,
0.0014561654534190893,
-0.004544470924884081,
0.031449057161808014,
0.052195556461811066,
-0.006956662982702255,
0.013114750385284424,
-0.022458907216787338,
-0.032190002501010895,
-0.02265649288892746,
0.030559921637177467,
0.05351279303431511,
-0.040307480841875076,
0.05038435384631157,
0.018671847879886627,
-0.012423200532793999,
-0.04669608548283577,
-0.053018830716609955,
-0.009829888120293617,
-0.013485223986208439,
0.0007172772311605513,
-0.04004403576254845,
-0.005170159041881561,
-0.0016547802370041609,
0.026278898119926453,
-0.0023339809849858284,
-0.02405605837702751,
-0.009352389723062515,
-0.020515982061624527,
0.019231675192713737,
-0.0025233339983969927,
0.03194301947951317,
-0.011937469244003296,
-0.007133666891604662,
-0.020301930606365204,
-0.019659776240587234,
0.012991259805858135,
0.005874058231711388,
-0.013987421058118343,
-0.005120762623846531,
0.053743310272693634,
0.003591531654819846,
0.016449009999632835,
0.011550530791282654,
-0.02071356773376465,
0.007965173572301865,
-0.0038920266088098288,
0.004556820262223482,
0.04340299218893051,
-0.0015076200943440199,
0.03171250596642494,
0.032469917088747025,
-0.03158077970147133,
-0.04630091413855553,
-0.01730521395802498,
-0.01997262053191662,
0.02135572023689747,
-0.010636696591973305,
-0.012324407696723938,
0.005721752531826496,
-0.008998381905257702,
-0.004083437845110893,
0.005935803521424532,
-0.02237658016383648,
-0.018112022429704666,
-0.01878710649907589,
0.009871052578091621,
0.06487397104501724,
-0.032288797199726105,
-0.0368168018758297,
0.0170417670160532,
-0.014094446785748005,
-0.0014489617897197604,
0.06144915148615837,
0.03454456478357315,
-0.010027473792433739,
0.023364508524537086,
0.027859583497047424,
-0.006833171937614679,
0.009154804050922394,
0.0015024745371192694,
0.030428197234869003,
0.0024348320439457893,
0.010702558793127537,
0.009829888120293617,
-0.07534601539373398,
-0.017255818471312523,
0.01834253966808319,
0.00027270943974144757,
0.05627899244427681,
-0.023973731324076653,
-0.020515982061624527,
0.010109801776707172,
0.003712964477017522,
0.011706952936947346,
0.04182230681180954,
0.004639147315174341,
-0.014119144529104233,
0.027052775025367737,
0.015979742631316185,
0.07804635167121887,
0.011542297899723053,
-0.03638869896531105,
-0.029078029096126556,
-0.04198696091771126,
0.0015364346327260137,
0.006116923876106739,
0.0055323997512459755,
0.007010175846517086,
0.05012090504169464,
-0.06573017686605453,
-0.03444577381014824,
-0.0024677631445229053,
0.009978077374398708,
-0.003070811042562127,
0.004276907071471214,
-0.028353547677397728,
0.01714055985212326,
0.004552703816443682,
0.0063927206210792065,
0.053479861468076706,
-0.005087831523269415,
0.01386392954736948,
0.044456783682107925,
-0.05683881789445877,
-0.0010898086475208402,
0.01340289693325758,
0.007804634980857372,
0.014522548764944077,
0.04119661822915077,
0.0197915006428957,
0.047288842499256134,
0.0005701170885004103,
-0.015041211619973183,
0.044522643089294434,
-0.018836503848433495,
-0.05239314213395119,
0.05354572460055351,
-0.018112022429704666,
0.025669675320386887,
-0.018852969631552696,
-0.07139430195093155,
-0.014753065072000027,
-0.05104297026991844,
-0.008203922770917416,
0.01501651294529438,
-0.004824384115636349,
0.012414967641234398,
0.02606484666466713,
0.013262939639389515,
-0.013435827568173409,
0.004120484925806522,
-0.006598539184778929,
-0.02155330590903759,
0.04751935973763466,
-0.0036718009505420923,
-0.052360210567712784,
0.009426484815776348,
-0.04024162143468857,
0.010653162375092506,
0.013246474787592888,
-0.001336790737695992,
-0.013337034732103348,
0.012316174805164337,
0.008014569990336895,
0.006071643903851509,
0.02155330590903759,
0.008315064944326878,
-0.03563128784298897,
-0.027102172374725342,
-0.004807918798178434,
-0.05499468743801117,
0.04175644367933273,
-0.025653209537267685,
0.04547763988375664,
-0.0050631333142519,
-0.03813403844833374,
0.01137764286249876,
0.0042892564088106155,
-0.02782665193080902,
-0.0016414020210504532,
0.000493706960696727,
0.005729985423386097,
-0.004552703816443682,
0.047025397419929504,
0.014818927273154259,
0.0011844851542264223,
0.04152592644095421,
-0.01832607388496399,
-0.013600482605397701,
0.02920975163578987,
-0.002471879357472062,
-0.017667453736066818,
0.03622404485940933,
-0.010702558793127537,
-0.019956154748797417,
-0.005676472559571266,
0.019034089520573616,
0.02680579386651516,
0.003130498342216015,
0.02127339318394661,
0.009731095284223557,
-0.022310718894004822,
0.007174830883741379,
-0.023101061582565308,
-0.024023128673434258,
-0.05008797347545624,
0.006660284474492073,
-0.038660936057567596,
0.023101061582565308,
0.023973731324076653,
-0.0017216712003573775,
0.010842515155673027,
-0.011608160100877285,
0.011394108645617962,
0.006421535275876522,
-0.03276629373431206,
0.004643263760954142,
-0.010060405358672142,
0.005976967513561249,
-0.03760714456439018,
0.04985745623707771,
-0.01926460489630699,
-0.016251424327492714,
-0.030905695632100105,
0.010924842208623886,
-0.030164750292897224,
-0.01253022626042366,
0.028896909207105637,
0.02976957894861698,
0.013106518425047398,
0.01631728559732437,
-0.015024745836853981,
-0.017371075227856636,
-0.015913881361484528,
0.014168540947139263,
0.08311771601438522,
0.015321124345064163,
-0.051536936312913895,
-0.01583978720009327,
-0.0034001206513494253,
0.023068130016326904,
0.03363896533846855,
0.006475048139691353,
-0.004276907071471214,
-0.010118034668266773,
-0.002805305179208517,
-0.0341164655983448,
-0.032305262982845306,
-0.0048449658788740635,
0.0073189036920666695,
0.029637854546308517,
0.009648768231272697,
-0.02856759913265705,
0.005894639994949102,
0.0054541886784136295,
-0.018540125340223312,
0.016284354031085968,
0.08772805333137512,
-0.01778271235525608,
0.039023175835609436,
0.009245363995432854,
-0.02191554754972458,
-0.007915777154266834,
0.006738495547324419,
-0.009006614796817303,
-0.014662505127489567,
-0.012950096279382706,
0.01639961265027523,
0.0331449992954731,
0.0032622222788631916,
0.030724575743079185,
0.01758512668311596,
-0.0423492006957531,
0.02018667198717594,
-0.03233819082379341,
0.021223997697234154,
-0.013839231804013252,
-0.02634475938975811,
-0.0057711489498615265,
0.019297536462545395,
-0.0038529210723936558,
0.005392442923039198,
0.04959401115775108,
0.005713519640266895,
0.02790897898375988,
0.004947875160723925,
-0.0607905313372612,
-0.006989594083279371,
0.03859507292509079,
-0.006705564446747303,
-0.021800288930535316,
-0.011550530791282654,
-0.008734934031963348,
-0.0019542460795491934,
-0.0405379980802536,
0.029818974435329437,
0.010620231740176678,
-0.009887517429888248,
-0.03242051973938942,
-0.012917164713144302,
-0.0007913718582130969,
0.023150457069277763,
0.003599764546379447,
-0.020664170384407043,
-0.04761815443634987,
-0.019495122134685516,
0.005668239668011665,
-0.04488488286733627,
-0.007121318019926548,
0.003980528563261032,
-0.015815088525414467,
-0.029061563313007355,
-0.015461080707609653,
-0.0030749274883419275,
-0.017799178138375282,
0.010200361721217632,
0.04376523196697235,
-0.051997970789670944,
0.002712687011808157,
0.018276676535606384,
-0.06273345649242401,
-0.05865002050995827,
0.01896822638809681,
-0.009253596886992455,
-0.04373230040073395,
0.021602703258395195,
0.016794783994555473,
-0.0021487444173544645,
0.03586180508136749,
-0.015633968636393547,
-0.03586180508136749,
-0.01215975359082222,
-0.025126313790678978,
-0.044193334877491,
-0.011888072825968266,
0.00679200841113925,
-0.005083715543150902,
-0.015255262143909931,
0.008059849962592125,
0.009204200468957424,
-0.00435511814430356,
0.019017623737454414,
0.07238222658634186,
0.08548874408006668,
-0.02203080616891384,
0.019577449187636375,
-0.020153740420937538,
-0.011953935027122498,
0.047124188393354416,
0.02071356773376465,
-0.04063679277896881,
-0.004635031335055828,
-0.04653143137693405,
0.013221776112914085,
0.007051339838653803,
-0.03787059336900711,
0.042052824050188065,
-0.010076870210468769,
0.027299758046865463,
0.011558763682842255
] |
Incentive mechanism is crucial for federated learning (FL) when rational
clients do not have the same interests in the global model as the server.
However, due to system heterogeneity and limited budget, it is generally
impractical for the server to incentivize all clients to participate in all
training rounds (known as full participation). The existing FL incentive
mechanisms are typically designed by stimulating a fixed subset of clients
based on their data quantity or system resources. Hence, FL is performed only
using this subset of clients throughout the entire training process, leading to
a biased model because of data heterogeneity. This paper proposes a game
theoretic incentive mechanism for FL with randomized client participation,
where the server adopts a customized pricing strategy that motivates different
clients to join with different participation levels (probabilities) for
obtaining an unbiased and high performance model. Each client responds to the
server's monetary incentive by choosing its best participation level, to
maximize its profit based on not only the incurred local cost but also its
intrinsic value for the global model. To effectively evaluate clients'
contribution to the model performance, we derive a new convergence bound which
analytically predicts how clients' arbitrary participation levels and their
heterogeneous data affect the model performance. By solving a non-convex
optimization problem, our analysis reveals that the intrinsic value leads to
the interesting possibility of bidirectional payment between the server and
clients. Experimental results using real datasets on a hardware prototype
demonstrate the superiority of our mechanism in achieving higher model
performance for the server as well as higher profits for the clients. | [
-0.053737539798021317,
-0.025666972622275352,
-0.03234553709626198,
-0.02963290549814701,
0.04161655157804489,
0.016790835186839104,
-0.011408497579395771,
0.051677316427230835,
-0.03729007765650749,
0.04230329021811485,
-0.04171955958008766,
-0.031178075820207596,
0.019211599603295326,
-0.04505025967955589,
-0.023417893797159195,
0.02279982529580593,
0.042200278490781784,
-0.030731692910194397,
0.023503735661506653,
-0.03215668350458145,
-0.028568455949425697,
-0.032191019505262375,
0.007906114682555199,
-0.02425915189087391,
0.011940722353756428,
0.0011234665289521217,
-0.00958004780113697,
0.016704993322491646,
-0.061360374093055725,
0.06122302636504173,
0.023538073524832726,
0.01764926314353943,
-0.04831228032708168,
-0.0115630142390728,
-0.029100680723786354,
-0.032191019505262375,
0.06812477856874466,
-0.05960918217897415,
-0.010653081350028515,
0.057239923626184464,
-0.08261503279209137,
-0.003225540043786168,
0.015202745795249939,
-0.01878238655626774,
0.010816182941198349,
-0.005807260051369667,
-0.04230329021811485,
0.007185035385191441,
-0.04539363086223602,
-0.024757040664553642,
-0.010292542167007923,
-0.001885320758447051,
0.06681997328996658,
0.02243928611278534,
0.010816182941198349,
0.008137890137732029,
0.06551516056060791,
-0.015623374842107296,
0.012490115128457546,
-0.025478119030594826,
0.035504549741744995,
-0.0132798682898283,
-0.016507554799318314,
-0.014481666497886181,
0.03612261638045311,
0.027383826673030853,
-0.0187995545566082,
0.07210788130760193,
-0.006588428746908903,
-0.005893102381378412,
-0.029478389769792557,
0.04741951823234558,
-0.03074886091053486,
-0.04353942722082138,
0.005051843822002411,
0.03646598756313324,
0.053977902978658676,
0.005966068711131811,
0.010532901622354984,
-0.023383555933833122,
-0.006266518495976925,
0.04182257130742073,
0.009932002052664757,
0.01843901537358761,
0.017434656620025635,
0.07231390476226807,
0.024430837482213974,
-0.05820136144757271,
-0.0017619217978790402,
0.02029321901500225,
-0.0025516748428344727,
0.017408903688192368,
-0.057926665991544724,
-0.013477306813001633,
0.0006754748756065965,
-0.020945623517036438,
-0.032517220824956894,
-0.019057083874940872,
-0.06441637873649597,
0.009545709937810898,
-0.05926581099629402,
0.037084054201841354,
-0.02983892895281315,
-0.001071960898116231,
-0.005682787857949734,
-0.025375107303261757,
-0.010884856805205345,
0.05881943181157112,
0.05881943181157112,
0.08426321297883987,
-0.03876657038927078,
0.023040184751152992,
-0.0072580017149448395,
0.06118869036436081,
-0.026971781626343727,
0.0065583838149905205,
-0.011236811988055706,
-0.018198655918240547,
0.02710913121700287,
-0.06592720746994019,
0.0018305960111320019,
0.007506945636123419,
-0.028516951948404312,
-0.03292926773428917,
-0.032551560550928116,
0.028448276221752167,
-0.030886210501194,
0.013108182698488235,
0.006858833134174347,
-0.008356788195669651,
-0.004549663979560137,
0.019177263602614403,
0.012756227515637875,
-0.019005578011274338,
0.01972665637731552,
0.04158221185207367,
0.06465673446655273,
0.018164319917559624,
-0.006609889212995768,
-0.01218966580927372,
0.03591659292578697,
0.022147420793771744,
-0.001535511575639248,
0.07231390476226807,
0.014919464476406574,
0.024791376665234566,
-0.021941399201750755,
0.001985112903639674,
0.0028993377927690744,
0.039144281297922134,
-0.02805340103805065,
0.06448505073785782,
0.04151353985071182,
0.052123699337244034,
0.017177127301692963,
-0.03270607441663742,
0.02824225462973118,
-0.000773120962549001,
0.038663558661937714,
0.005528271198272705,
0.013923688791692257,
0.033770523965358734,
-0.029684411361813545,
0.059197138994932175,
0.010301126167178154,
0.033341310918331146,
0.016155598685145378,
0.03159011900424957,
-0.07533556967973709,
0.06918922811746597,
0.007451147772371769,
-0.021495016291737556,
-0.0006019720458425581,
0.0003312992339488119,
0.008545642718672752,
0.03577924519777298,
0.03790814429521561,
-0.05847606062889099,
-0.0000971766421571374,
-0.01105654239654541,
-0.024757040664553642,
0.03873223438858986,
0.00927959755063057,
0.017855284735560417,
0.045427966862916946,
0.03763344883918762,
0.027950389310717583,
-0.017511915415525436,
0.011047957465052605,
-0.0013659722171723843,
0.021580860018730164,
0.05232972279191017,
0.048380956053733826,
-0.05002913624048233,
0.041994258761405945,
-0.035710569471120834,
0.0019572139717638493,
-0.0011599496938288212,
0.061944104731082916,
-0.0024379331152886152,
-0.041650887578725815,
-0.04422616958618164,
-0.031401265412569046,
0.01190638542175293,
0.012035149149596691,
-0.023761264979839325,
0.008223732002079487,
-0.02619919739663601,
0.023847106844186783,
-0.07767049223184586,
0.004978877492249012,
-0.017923960462212563,
-0.025117579847574234,
0.0030109332874417305,
0.007386765908449888,
-0.022645309567451477,
0.010292542167007923,
0.05576343089342117,
0.002311315154656768,
-0.052261047065258026,
0.0021825511939823627,
0.02382993884384632,
-0.006249350029975176,
0.003002349054440856,
-0.023503735661506653,
-0.013631823472678661,
0.03141843527555466,
-0.0018670791760087013,
0.0006341630942188203,
0.013863598927855492,
-0.014910880476236343,
0.017554836347699165,
-0.06129170209169388,
0.019537802785634995,
0.04195991903543472,
-0.019348949193954468,
0.008588563650846481,
-0.017597757279872894,
0.0007082024239934981,
0.000009514793418929912,
-0.05524837225675583,
-0.01821582391858101,
-0.04796890914440155,
-0.0004911813302896917,
0.008627193048596382,
-0.02758985012769699,
-0.007940451614558697,
0.07478617876768112,
0.035367198288440704,
-0.022422118112444878,
-0.08288972824811935,
-0.04068944975733757,
0.006193552166223526,
0.009374025277793407,
-0.007223664782941341,
0.044260505586862564,
0.03684369474649429,
-0.0483466200530529,
0.02961573749780655,
-0.014258475974202156,
0.05778931826353073,
0.07945601642131805,
0.010687418282032013,
-0.001015090150758624,
0.02654256857931614,
-0.0035689109936356544,
0.03547021001577377,
-0.005339417140930891,
0.016687825322151184,
-0.021168814972043037,
-0.05250140652060509,
-0.03098922222852707,
-0.038938257843256,
-0.024001624435186386,
0.019348949193954468,
-0.014996723271906376,
-0.07197053730487823,
-0.043917134404182434,
-0.003927304409444332,
0.047453854233026505,
0.015108318068087101,
0.03543587401509285,
0.011253979988396168,
-0.029032006859779358,
0.0030946300830692053,
-0.06390132009983063,
-0.02563263475894928,
-0.007185035385191441,
-0.06798743456602097,
0.02393295057117939,
-0.04134185239672661,
-0.023520905524492264,
0.005875933915376663,
0.032294031232595444,
0.052604418247938156,
0.06925790756940842,
-0.02508324198424816,
0.03996837139129639,
0.03274041414260864,
0.029684411361813545,
-0.00020333993597887456,
-0.003208371577784419,
0.00923667661845684,
-0.003807124448940158,
0.0035216975957155228,
-0.01778661087155342,
-0.026353714987635612,
-0.005953192710876465,
-0.01195789035409689,
-0.03146994113922119,
0.023898612707853317,
-0.01242144126445055,
-0.018748050555586815,
-0.023108860477805138,
-0.014061037451028824,
0.005223529413342476,
0.07451147586107254,
-0.0037684952840209007,
0.010232452303171158,
-0.04470688849687576,
0.02243928611278534,
0.008567103184759617,
-0.06884586066007614,
0.012558789923787117,
-0.020001353695988655,
-0.04082679748535156,
0.019194431602954865,
0.07739579677581787,
-0.06486275792121887,
0.01825016178190708,
-0.0367063470184803,
-0.035367198288440704,
-0.04601169750094414,
-0.03852621093392372,
-0.006142046302556992,
0.04728217050433159,
-0.025804320350289345,
0.018542027100920677,
-0.03121241182088852,
0.002171820728108287,
-0.0304398275911808,
-0.018662206828594208,
-0.0346117839217186,
0.022868501022458076,
0.01821582391858101,
0.04305870831012726,
-0.04271533712744713,
-0.008296698331832886,
0.05572909116744995,
-0.017803778871893883,
0.0008718401077203453,
0.03498949110507965,
-0.0019325341563671827,
-0.035847920924425125,
0.03301510959863663,
0.004212731495499611,
-0.008125013671815395,
0.01960647664964199,
-0.07526689767837524,
0.00723224924877286,
0.04048342630267143,
-0.02448234334588051,
-0.06469107419252396,
0.022404950112104416,
-0.043024368584156036,
-0.00889330543577671,
-0.0250660739839077,
-0.03215668350458145,
0.01766643114387989,
0.01703977957367897,
-0.06723202019929886,
0.019984185695648193,
0.014661936089396477,
0.023417893797159195,
-0.015108318068087101,
0.02779587171971798,
-0.06153206154704094,
-0.019881173968315125,
-0.0716271623969078,
0.01928027532994747,
0.05734293535351753,
-0.012773396447300911,
0.044741224497556686,
-0.005687079858034849,
0.040517762303352356,
-0.035367198288440704,
-0.01564912684261799,
-0.09971490502357483,
0.011829126626253128,
0.04151353985071182,
0.038114167749881744,
-0.05569475516676903,
-0.029032006859779358,
0.008721619844436646,
0.011073710396885872,
-0.025838658213615417,
0.030731692910194397,
-0.03701537847518921,
-0.014928048476576805,
-0.025615466758608818,
-0.019211599603295326,
0.05071587860584259,
-0.012352767400443554,
0.01845618523657322,
-0.005519686732441187,
-0.042921360582113266,
-0.017872454598546028,
0.005747170187532902,
-0.021477848291397095,
-0.02061942033469677,
0.01859353296458721,
-0.022525129839777946,
-0.017254386097192764,
0.01070458721369505,
0.01532292552292347,
0.003392933402210474,
-0.08584272116422653,
-0.010721755214035511,
-0.025718478485941887,
0.006446788087487221,
-0.005386630538851023,
-0.005322248674929142,
0.10871122032403946,
0.03212234377861023,
0.014447329565882683,
-0.0026868770364671946,
0.030937716364860535,
-0.013314205221831799,
-0.03212234377861023,
0.014619015157222748,
0.0000908725633053109,
0.011940722353756428,
0.002684731036424637,
-0.03739308938384056,
-0.034594614058732986,
0.0042749675922095776,
0.001506539760157466,
0.02983892895281315,
0.00006941188621567562,
-0.04123884066939354,
0.03359884023666382,
-0.040964145213365555,
-0.022954342886805534,
-0.010696002282202244,
0.005772922653704882,
-0.015692049637436867,
0.017717937007546425,
-0.07464882731437683,
-0.024568185210227966,
-0.005948900245130062,
-0.050544191151857376,
0.0152199137955904,
-0.10301126539707184,
0.01385501492768526,
0.038663558661937714,
-0.01970948837697506,
0.002588158007711172,
-0.03989969566464424,
0.025495287030935287,
-0.0362599641084671,
0.010756092146039009,
0.03042265959084034,
-0.0015934554394334555,
0.017941128462553024,
-0.027297984808683395,
0.004605461843311787,
0.012095239013433456,
-0.04989178851246834,
0.0068545411340892315,
-0.004815776366740465,
-0.05081889033317566,
-0.049376729875802994,
0.03294643387198448,
-0.009425530210137367,
0.02791605144739151,
-0.009700227528810501,
0.04388279840350151,
-0.09895948320627213,
0.008133597671985626,
0.008425462990999222,
0.016953937709331512,
-0.01903991401195526,
0.05545439571142197,
-0.018627868965268135,
0.028980500996112823,
0.036294300109148026,
0.00748977717012167,
0.009786070324480534,
-0.0030774613842368126,
0.000644356885459274,
-0.03650032356381416,
-0.04868999123573303,
0.016885261982679367,
-0.006936091464012861,
-0.03797682002186775,
-0.02223326452076435,
-0.0008187249186448753,
-0.038011156022548676,
0.060089901089668274,
-0.020138701424002647,
-0.01133123878389597,
-0.006738653406500816,
-0.008305283263325691,
0.0011470733443275094,
0.000725370948202908,
-0.049170710146427155,
-0.0026761468034237623,
0.014687689021229744,
0.019451959058642387,
-0.04089546948671341,
0.050200819969177246,
0.10376667976379395,
0.018988410010933876,
-0.05620981380343437,
0.007266586180776358,
-0.0077430130913853645,
-0.0068073277361691,
-0.027418164536356926,
-0.01982966810464859,
0.028774479404091835,
0.0020022813696414232,
0.030062120407819748,
0.008725912310183048,
0.020688094198703766,
-0.05528271198272705,
0.014627599157392979,
0.044054482132196426,
0.024362163618206978,
0.03340998664498329,
-0.011245395988225937,
-0.005678495857864618,
0.03756477311253548,
-0.050544191151857376,
-0.046080369502305984,
0.02607901766896248,
0.0006636715261265635,
0.013520227745175362,
0.006901754532009363,
-0.0003758301609195769,
-0.02379560098052025,
-0.05174599215388298,
0.06932657957077026,
0.02075676992535591,
0.020602252334356308,
0.015357262454926968,
0.02451668120920658,
0.0405864380300045,
-0.057136911898851395,
-0.04652675241231918,
0.018421847373247147,
0.042097270488739014,
-0.007567035499960184,
-0.014558925293385983,
0.016790835186839104,
-0.014490250498056412,
-0.05617547407746315,
0.011305485852062702,
-0.00912508089095354,
-0.03198499605059624,
-0.015056813135743141,
0.0020720285829156637,
0.0023177533876150846,
-0.0016149161383509636,
-0.03643164783716202,
0.0337190181016922,
-0.039350301027297974,
0.010052182711660862,
0.046561092138290405,
-0.004820068832486868,
0.04384845867753029,
0.006644226610660553,
-0.010241036303341389,
-0.02860279381275177,
-0.033907875418663025,
-0.023297714069485664,
0.013022339902818203,
-0.03167596459388733,
0.06606455892324448,
-0.01570921763777733,
-0.018318835645914078,
-0.008704451844096184,
-0.03615695238113403,
0.026731422170996666,
0.045977361500263214,
0.036397311836481094,
0.012009396217763424,
-0.009416946209967136,
-0.03746176138520241,
0.018851060420274734,
-0.030405491590499878,
-0.025495287030935287,
0.049067698419094086,
-0.006506877951323986,
0.0031783266458660364,
0.003989540506154299,
-0.013949441723525524,
0.0401400551199913,
0.024362163618206978,
0.03996837139129639,
-0.06836514174938202,
-0.0017147082835435867,
0.0024872927460819483,
-0.035161178559064865,
0.031727470457553864,
0.02551245503127575,
-0.020361892879009247,
-0.003354304237291217,
0.0011502924608066678,
0.026594074442982674,
0.022834163159132004,
0.031075064092874527,
0.009691642597317696,
0.05287911370396614,
-0.013606070540845394,
0.021254656836390495,
-0.01750333048403263,
0.03753043711185455,
-0.030954884365200996,
-0.02666274830698967,
-0.018404679372906685,
0.0346117839217186,
-0.018542027100920677,
0.03165879473090172,
0.01734022982418537,
0.0211859829723835,
0.03601960465312004,
-0.024997400119900703,
-0.030010614544153214,
-0.009494205005466938,
-0.02005285955965519,
-0.02858562581241131,
0.012335598468780518,
-0.03485214337706566,
-0.017417486757040024,
-0.02904917672276497,
-0.02084261178970337,
-0.004371540620923042,
0.0332726389169693,
0.013674745336174965,
-0.01059299148619175,
0.00535658560693264,
-0.002616056939586997,
0.035401538014411926,
0.07416810840368271,
-0.006356653291732073,
0.018730880692601204,
-0.019108589738607407,
0.021701039746403694,
0.01281631737947464,
0.03704971820116043,
0.0048501137644052505,
0.009562878869473934,
-0.008485552854835987,
0.03385636955499649,
-0.0647597461938858,
-0.04844963178038597,
0.0012844216544181108,
-0.06235615164041519,
0.03153861314058304,
0.03749610111117363,
0.04319605603814125,
0.01750333048403263,
-0.008120721206068993,
-0.015546116046607494,
0.03522985056042671,
0.007039102725684643,
0.010919193737208843,
0.03907560557126999,
0.0075369905680418015,
0.059300150722265244,
-0.04965142905712128,
0.01572638563811779,
-0.04299003258347511,
0.024774208664894104,
0.06122302636504173,
-0.008472676388919353,
0.009030654095113277,
0.03577924519777298,
0.01458467822521925,
-0.0462520569562912,
-0.023314882069826126,
0.017803778871893883,
0.0009904103353619576,
-0.060673631727695465,
-0.022628139704465866,
-0.018421847373247147,
0.0030495624523609877,
0.044844236224889755,
-0.017056947574019432,
-0.01572638563811779,
0.021580860018730164,
-0.04123884066939354,
0.02724647894501686,
-0.013400048017501831,
0.009957754984498024,
0.03181331232190132,
0.005442428402602673,
0.002238348824903369,
-0.017632095143198967,
0.04601169750094414,
0.001980820670723915,
-0.0029916188213974237,
-0.02654256857931614,
0.005923147778958082,
-0.03370185196399689,
0.0038049784488976,
-0.008365373127162457,
0.020928455516695976,
-0.01568346470594406,
0.009416946209967136,
0.023177534341812134,
0.011846295557916164,
-0.029375378042459488,
0.015082566067576408,
-0.005875933915376663,
0.011854879558086395,
-0.0010676687816157937,
-0.013099598698318005,
-0.010378384962677956,
0.002727652434259653,
0.011760452762246132,
0.010241036303341389,
0.028568455949425697,
-0.017400318756699562,
0.006618473678827286,
0.026233535259962082,
-0.01036121603101492,
-0.004695596639066935,
-0.03790814429521561,
-0.007021934259682894,
0.019554970785975456,
-0.04250931367278099,
-0.053256820887327194,
0.016464633867144585,
0.01218966580927372,
0.011975059285759926,
0.03646598756313324,
0.039144281297922134,
0.01750333048403263,
-0.010146609507501125,
0.016601981595158577,
0.015434520319104195,
0.016988273710012436,
0.02575281634926796,
-0.0328262560069561,
0.015357262454926968,
0.02607901766896248,
0.04487857222557068,
-0.01623285748064518,
-0.01446449849754572,
0.01799263432621956,
-0.02120315097272396,
0.03989969566464424,
-0.01722005009651184,
-0.0475912019610405,
-0.008601440116763115,
0.034354254603385925,
-0.008979148231446743,
0.039590660482645035,
0.01509973406791687,
0.004251360427588224,
0.037324413657188416,
0.02448234334588051,
0.006485417485237122,
0.04920504614710808,
0.013700498268008232,
-0.028534119948744774,
-0.02769286185503006,
-0.017297307029366493,
-0.01385501492768526,
0.014026700519025326,
-0.010223867371678352,
0.007670046761631966,
-0.06668262183666229,
-0.007640001829713583,
0.039487648755311966,
0.013794925063848495,
0.003030247986316681,
-0.011047957465052605,
0.019108589738607407,
0.007249417714774609,
0.03145277127623558,
0.028791647404432297,
-0.004347933456301689,
-0.02449951134622097,
0.0004147276340518147,
0.019503464922308922,
-0.04041475057601929,
-0.0033800569362938404,
0.030027782544493675,
0.015082566067576408,
0.02029321901500225,
0.012224002741277218,
0.0012436463730409741,
0.058064013719558716,
0.003837169613689184,
-0.007927575148642063,
0.00456254044547677,
-0.032208189368247986,
-0.030147962272167206,
0.04010571911931038,
-0.002075247699394822,
0.020087195560336113,
-0.0009823626605793834,
-0.009940586984157562,
-0.0008428681758232415,
-0.012721890583634377,
-0.03722140192985535,
-0.006446788087487221,
0.008451215922832489,
0.01742607168853283,
-0.003609686391428113,
0.014558925293385983,
0.018147150054574013,
0.021958567202091217,
-0.023984454572200775,
0.038697898387908936,
0.050200819969177246,
-0.015795059502124786,
-0.03677501901984215,
0.003137551248073578,
0.015983914956450462,
-0.0190227460116148,
0.02975308708846569,
-0.024997400119900703,
-0.04820927232503891,
-0.0017726521473377943,
0.001568775624036789,
0.006674271542578936,
-0.021031465381383896,
-0.0077086761593818665,
0.014189801178872585,
-0.04395147040486336,
0.02870580554008484,
-0.06616757065057755,
0.0270061194896698,
-0.031830478459596634,
0.035710569471120834,
-0.011442834511399269,
0.019984185695648193,
-0.00963155273348093,
-0.016207104548811913,
-0.005944608245044947,
0.019057083874940872,
0.0036204166244715452,
0.0028993377927690744,
0.021735375747084618,
-0.023623915389180183,
0.034800637513399124,
0.003822147147729993,
-0.0035753492265939713,
0.06314590573310852,
0.07039102911949158,
-0.02223326452076435,
-0.025821490213274956,
-0.01667924039065838,
-0.009597215801477432,
-0.015777891501784325,
-0.01657622866332531,
-0.024104636162519455,
-0.03134975954890251,
0.02803623117506504,
0.02130616270005703,
-0.04501591995358467,
0.011468587443232536,
0.004270675126463175,
-0.01019811537116766,
-0.07258860021829605,
-0.06685430556535721,
-0.052604418247938156,
0.045187607407569885,
-0.02097995951771736,
0.027761535719037056,
0.04659542813897133,
-0.002047348767518997,
-0.0001152170225395821,
-0.03677501901984215,
0.027950389310717583,
0.031057896092534065,
-0.07334402203559875,
0.008558519184589386,
0.03395937755703926,
0.008262361399829388,
-0.03291209787130356,
0.020361892879009247,
-0.04182257130742073,
-0.009554294869303703,
-0.06149772182106972,
-0.05081889033317566,
-0.017520498484373093,
0.029941940680146217,
0.023435061797499657,
-0.03653465956449509,
0.020791105926036835,
0.026645580306649208,
-0.03303227946162224,
0.015013891272246838,
-0.01384643092751503,
0.043814122676849365,
0.02154652215540409,
0.0003025955811608583,
-0.011554430238902569,
0.017434656620025635,
-0.017855284735560417,
0.04261232540011406,
0.0022340568248182535,
0.012472947128117085,
-0.01435290277004242,
0.0036869447212666273,
-0.020567914471030235,
-0.012112407945096493,
-0.009107911959290504,
-0.002845686161890626,
-0.012318430468440056,
0.010421305894851685,
-0.007013350259512663,
-0.05153996869921684,
0.003923012409359217,
0.009820407256484032,
0.025203421711921692,
0.02564980462193489,
0.030371153727173805,
0.006841664668172598,
0.002416472416371107,
-0.00842975452542305,
-0.04796890914440155,
0.030594345182180405,
0.0332726389169693,
-0.05023515969514847,
-0.00615063076838851,
-0.03910994157195091,
0.03450877219438553,
0.024997400119900703,
0.039831019937992096,
0.003676214488223195,
0.0265597365796566,
-0.015202745795249939,
0.00141103973146528,
-0.04429484158754349,
0.02199290506541729,
-0.02928953617811203,
-0.04412315785884857,
0.019503464922308922,
0.06242482364177704,
0.03406238928437233,
-0.01845618523657322,
0.017537666484713554,
0.002701899502426386,
-0.02585582621395588,
0.008704451844096184,
-0.028276590630412102,
0.03042265959084034,
0.009064991027116776,
-0.010721755214035511,
-0.024997400119900703,
-0.010996452532708645,
-0.026044679805636406,
0.014859374612569809,
0.016850925981998444,
0.06345494091510773,
0.0010789356892928481,
-0.011374159716069698,
-0.0272293109446764,
-0.0190227460116148,
-0.002025888068601489,
0.020190207287669182,
-0.034028053283691406,
-0.03250005468726158,
-0.030371153727173805,
0.03622562810778618,
-0.00399812450632453,
-0.02187272533774376,
0.005305080208927393,
0.004553955979645252,
0.03749610111117363,
-0.022198926657438278,
-0.000549929914996028,
-0.019967015832662582,
-0.016464633867144585,
0.038938257843256,
0.004098990000784397,
-0.007116361521184444,
0.03404522314667702,
0.012730475515127182,
-0.03636297583580017,
-0.019640814512968063,
0.009657305665314198,
-0.0038736527785658836,
-0.04350509122014046,
0.033444322645664215,
0.007674339227378368,
-0.0006534776766784489,
-0.002807056996971369,
-0.02733232080936432,
-0.016911014914512634,
0.05335983261466026,
-0.006142046302556992,
-0.034371424466371536,
-0.006021866574883461,
-0.01582939736545086,
-0.05232972279191017,
0.023967286571860313,
-0.004592585377395153,
0.016001082956790924,
-0.014576093293726444,
-0.01811281405389309,
0.04340207949280739,
0.05150563269853592,
-0.0414792001247406,
0.07210788130760193,
-0.04717915877699852,
-0.037770796567201614,
0.005798675585538149,
0.04765987768769264,
-0.05432127043604851,
-0.017958296462893486,
-0.02429348975419998,
-0.0021621633786708117,
0.006489709485322237,
-0.031057896092534065,
-0.01766643114387989,
-0.009923418052494526,
-0.012447194196283817,
-0.0007768765790387988
] |
Enabling robots to learn novel visuomotor skills in a data-efficient manner
remains an unsolved problem with myriad challenges. A popular paradigm for
tackling this problem is through leveraging large unlabeled datasets that have
many behaviors in them and then adapting a policy to a specific task using a
small amount of task-specific human supervision (i.e. interventions or
demonstrations). However, how best to leverage the narrow task-specific
supervision and balance it with offline data remains an open question. Our key
insight in this work is that task-specific data not only provides new data for
an agent to train on but can also inform the type of prior data the agent
should use for learning. Concretely, we propose a simple approach that uses a
small amount of downstream expert data to selectively query relevant behaviors
from an offline, unlabeled dataset (including many sub-optimal behaviors). The
agent is then jointly trained on the expert and queried data. We observe that
our method learns to query only the relevant transitions to the task, filtering
out sub-optimal or task-irrelevant data. By doing so, it is able to learn more
effectively from the mix of task-specific and offline data compared to naively
mixing the data or only using the task-specific data. Furthermore, we find that
our simple querying approach outperforms more complex goal-conditioned methods
by 20% across simulated and real robotic manipulation tasks from images. See
https://sites.google.com/view/behaviorretrieval for videos and code. | [
0.0234136413782835,
0.013321862556040287,
-0.016810709610581398,
-0.035852137953042984,
0.001344009069725871,
0.007124921306967735,
0.013330785557627678,
0.03187253326177597,
-0.07381007820367813,
0.025340985506772995,
0.0049745067954063416,
-0.0679209753870964,
0.009377948939800262,
-0.04161632061004639,
-0.046684518456459045,
0.014071384444832802,
-0.019219888374209404,
0.028463993221521378,
-0.03158700093626976,
-0.036048442125320435,
0.04175908863544464,
-0.023467179387807846,
-0.059283629059791565,
0.04550669714808464,
0.025876358151435852,
0.009645635262131691,
0.002737093949690461,
-0.015249205753207207,
-0.06074697896838188,
0.037369031459093094,
0.009377948939800262,
0.03237221762537956,
0.0047469730488955975,
0.007745061535388231,
-0.028553223237395287,
0.01043977215886116,
0.054679419845342636,
0.031230086460709572,
-0.04026004299521446,
0.03947483003139496,
-0.027214789763092995,
-0.016989167779684067,
-0.04557808116078377,
-0.07263226062059402,
-0.015650734305381775,
-0.002207297831773758,
-0.02700064145028591,
0.008869344368577003,
-0.014044616371393204,
-0.02220012992620468,
0.03237221762537956,
-0.006223710253834724,
0.022342896088957787,
0.009904398582875729,
-0.04821925237774849,
0.0008978649857454002,
0.061639267951250076,
-0.003297004848718643,
0.02792862057685852,
0.004965583793818951,
0.00849012192338705,
-0.0011967815225943923,
-0.05996176600456238,
0.006964309606701136,
0.02915997803211212,
-0.058248572051525116,
0.01936265453696251,
-0.020701086148619652,
0.0005392766906879842,
-0.008168898522853851,
-0.018845126032829285,
0.00597386946901679,
-0.05881963670253754,
0.022146593779325485,
0.0008878267835825682,
0.03940344601869583,
0.032657746225595474,
0.009431486018002033,
0.024698536843061447,
-0.010778841562569141,
-0.019808797165751457,
0.028749525547027588,
0.019862335175275803,
0.0015882729785516858,
0.09044232964515686,
-0.08187636733055115,
0.034924160689115524,
-0.06253155320882797,
0.04946845769882202,
-0.017827918753027916,
-0.04522116482257843,
0.020005101338028908,
0.008507967926561832,
0.009850861504673958,
0.005487572401762009,
0.03471001237630844,
-0.0012224348029121757,
-0.015284896828234196,
-0.05592862516641617,
-0.04422180354595184,
0.0002891571493819356,
-0.020005101338028908,
0.016337797045707703,
-0.012527726590633392,
0.018363291397690773,
-0.019719569012522697,
-0.059747617691755295,
-0.06813512742519379,
-0.009413640014827251,
0.10336266458034515,
-0.0024716383777558804,
-0.021878907456994057,
-0.015258127823472023,
0.019969409331679344,
-0.046291910111904144,
-0.031069474294781685,
-0.03110516630113125,
-0.04936138167977333,
0.05253792926669121,
-0.05799873173236847,
0.0410095639526844,
0.025251755490899086,
0.03476354852318764,
-0.03392479568719864,
-0.032390061765909195,
-0.013589548878371716,
-0.022503508254885674,
0.005523263942450285,
0.05960485339164734,
0.03281835839152336,
-0.005028043873608112,
-0.015615043230354786,
0.001935150008648634,
0.012474188581109047,
0.01898789219558239,
0.027964312583208084,
0.030070113018155098,
-0.019416190683841705,
-0.0319439172744751,
-0.016703635454177856,
0.01136775128543377,
-0.03283620625734329,
-0.03128362447023392,
0.04932568967342377,
0.001979764550924301,
0.007753984536975622,
0.02294965274631977,
0.0422944612801075,
-0.03301466256380081,
0.011358828283846378,
-0.005835564807057381,
0.05014659836888313,
0.030998092144727707,
0.022503508254885674,
0.053822822868824005,
-0.017694074660539627,
-0.04711281508207321,
-0.006344168912619352,
0.01340216863900423,
-0.06502996385097504,
0.06028299033641815,
-0.04465010017156601,
-0.004282983485609293,
0.07416699826717377,
0.0970095694065094,
0.06146081164479256,
0.045649465173482895,
-0.043686430901288986,
-0.050253670662641525,
0.04143786430358887,
-0.02914213202893734,
-0.008293818682432175,
0.019880181178450584,
0.04143786430358887,
0.053180377930402756,
0.022896114736795425,
0.045363932847976685,
0.004599745851010084,
-0.07273933291435242,
-0.039724670350551605,
-0.02614404447376728,
-0.015980880707502365,
-0.028446147218346596,
0.08030594140291214,
0.04454302787780762,
0.046791594475507736,
0.018648823723196983,
-0.01814914122223854,
0.01733716018497944,
-0.0016663481947034597,
0.0028798601124435663,
0.032657746225595474,
-0.033335886895656586,
0.018934356048703194,
0.019487574696540833,
-0.041223715990781784,
-0.03631613031029701,
0.007539835292845964,
0.012884641997516155,
0.05000383034348488,
-0.04036711901426315,
-0.07231103628873825,
-0.02887444570660591,
0.01975526101887226,
0.028160614892840385,
0.00555003248155117,
0.0068349274806678295,
-0.017372850328683853,
0.0078030601143836975,
-0.07830721139907837,
-0.0033505421597510576,
-0.006732314359396696,
-0.05442957952618599,
-0.032479289919137955,
-0.03349649906158447,
0.005987253971397877,
-0.014936904422938824,
0.019434036687016487,
-0.05799873173236847,
-0.015409816987812519,
-0.06710007041692734,
-0.00044642292778007686,
0.011153602041304111,
0.0232173390686512,
-0.058998096734285355,
-0.007816444151103497,
0.01669471152126789,
0.009458255022764206,
0.04886170104146004,
0.012964947149157524,
-0.006460166536271572,
-0.031069474294781685,
0.013866158202290535,
-0.006469089537858963,
-0.0018102297326549888,
-0.02209305576980114,
0.000909018621314317,
-0.0028463993221521378,
0.0023734865244477987,
0.008427661843597889,
0.023645637556910515,
-0.0074327606707811356,
-0.026625879108905792,
-0.008017209358513355,
0.10985852032899857,
0.05596431717276573,
0.025894204154610634,
0.013928619213402271,
0.03037348948419094,
-0.00810643844306469,
-0.01396431028842926,
-0.014321225695312023,
-0.03494200482964516,
0.035120464861392975,
-0.01797068491578102,
0.02841045707464218,
0.019202042371034622,
-0.052323780953884125,
-0.018952202051877975,
-0.017738688737154007,
0.046862974762916565,
0.02678649127483368,
0.014026770368218422,
0.06820651143789291,
-0.004530593287199736,
0.004854047670960426,
0.052395161241292953,
-0.010903761722147465,
-0.006348630413413048,
-0.0037609946448355913,
-0.0034375402610749006,
0.010145316831767559,
0.0006619663327001035,
0.0069330791011452675,
-0.050075214356184006,
-0.03465647250413895,
0.06549395620822906,
-0.0122243482619524,
0.0036873810458928347,
0.01645379513502121,
0.0011655514826998115,
0.023342259228229523,
0.01936265453696251,
0.04497132450342178,
-0.009297642856836319,
0.0014064692659303546,
-0.006295093335211277,
-0.011010836809873581,
-0.04768387973308563,
0.027482476085424423,
-0.016623329371213913,
-0.03758317977190018,
-0.015579352155327797,
-0.016667943447828293,
0.054108355194330215,
-0.008686425164341927,
-0.032943278551101685,
0.0019284578738734126,
0.018541749566793442,
0.018559593707323074,
-0.022164437919855118,
0.0012213194277137518,
0.0020901851821690798,
0.0509675033390522,
-0.03471001237630844,
0.03617336228489876,
-0.02360994555056095,
0.03779732808470726,
-0.016221798956394196,
-0.04586361348628998,
0.024288084357976913,
0.043008290231227875,
-0.01814914122223854,
-0.05282346159219742,
-0.031997453421354294,
0.06660038977861404,
0.038404084742069244,
0.020665394142270088,
-0.04632760211825371,
-0.03383556753396988,
-0.013455705717206001,
0.006991078145802021,
-0.08758700639009476,
0.023806249722838402,
0.055714476853609085,
0.021040156483650208,
0.04764819145202637,
-0.01843467354774475,
-0.02237858809530735,
0.0050726584158837795,
-0.03196176141500473,
-0.05746335908770561,
-0.014820907264947891,
0.01832759939134121,
0.0027125561609864235,
-0.014169536530971527,
-0.0725608766078949,
0.0219859816133976,
-0.020808160305023193,
-0.04953984171152115,
-0.05746335908770561,
0.006330784875899553,
0.010493309237062931,
-0.03572721779346466,
0.025983432307839394,
-0.006830465979874134,
-0.006750160362571478,
0.04547100514173508,
-0.017738688737154007,
-0.010502232238650322,
0.0009882091544568539,
-0.04250860959291458,
-0.028535377234220505,
-0.003818993456661701,
0.02332441322505474,
-0.02473422884941101,
-0.06510134786367416,
0.029659660533070564,
-0.015936266630887985,
0.03872530907392502,
0.06859911978244781,
-0.09879414737224579,
-0.05835564807057381,
0.04186616092920303,
-0.039617594331502914,
0.020540473982691765,
-0.023110264912247658,
-0.054393887519836426,
0.014695986174046993,
0.035869985818862915,
-0.02352071739733219,
-0.03365711122751236,
-0.012072659097611904,
-0.006852773483842611,
-0.03658381476998329,
-0.00011397587513783947,
0.008284895680844784,
0.0001010098130791448,
-0.0244486965239048,
0.04829063639044762,
0.0008136553224176168,
0.014704909175634384,
-0.04900446906685829,
-0.025269601494073868,
0.028981519863009453,
0.09087062627077103,
0.010243468917906284,
0.007664755452424288,
-0.03490631282329559,
0.03581644967198372,
0.03665519878268242,
-0.012429574504494667,
-0.012045891024172306,
0.03528107702732086,
0.006616317201405764,
-0.011135756969451904,
0.045720845460891724,
-0.031247932463884354,
-0.007075845263898373,
0.01748884841799736,
-0.011849586851894855,
0.05050351098179817,
-0.0019295732490718365,
-0.015240282751619816,
0.03128362447023392,
-0.009128108620643616,
0.03146208077669144,
0.01663225144147873,
-0.018452519550919533,
0.01307202223688364,
-0.017560232430696487,
-0.041973236948251724,
0.008762270212173462,
0.02848183922469616,
0.010930530726909637,
0.001867113052867353,
0.03494200482964516,
0.03235436975955963,
0.0256800539791584,
-0.022771194577217102,
-0.027875082567334175,
0.017988530918955803,
0.01888081803917885,
0.019523264840245247,
-0.0551077201962471,
-0.0009341142140328884,
-0.03128362447023392,
0.0020277248695492744,
-0.04457871988415718,
-0.04054557532072067,
0.04614914581179619,
0.06702868640422821,
-0.010609306395053864,
-0.028892291709780693,
0.055785857141017914,
0.022806886583566666,
-0.007066922727972269,
0.01832759939134121,
-0.06874188035726547,
-0.045078400522470474,
-0.0005021909601055086,
-0.011920969933271408,
-0.04814787209033966,
-0.05489356815814972,
0.05442957952618599,
-0.052252396941185,
-0.015481200069189072,
-0.043008290231227875,
0.015436585992574692,
0.022146593779325485,
-0.10336266458034515,
0.022503508254885674,
-0.06720715016126633,
-0.036619506776332855,
-0.001248088083229959,
-0.036333974450826645,
-0.010841301642358303,
-0.02312811091542244,
-0.017506694421172142,
-0.06056852266192436,
0.018158065155148506,
-0.003731995355337858,
0.019951563328504562,
-0.028838753700256348,
-0.005532186944037676,
-0.000492431572638452,
-0.03226514160633087,
-0.02473422884941101,
-0.010502232238650322,
0.007173996884375811,
0.021397070959210396,
-0.03438878804445267,
-0.04375781491398811,
0.03729764744639397,
0.012242194265127182,
0.030998092144727707,
-0.026286810636520386,
-0.0116086695343256,
0.03779732808470726,
-0.03908222168684006,
0.023431487381458282,
-0.013562780804932117,
0.007968133315443993,
-0.031087320297956467,
0.01395538728684187,
-0.022521354258060455,
0.05150287598371506,
0.019987255334854126,
-0.02698279544711113,
-0.04647037014365196,
-0.004733589012175798,
-0.055143412202596664,
-0.04315105825662613,
0.012197579257190228,
0.005166348535567522,
-0.009038879536092281,
-0.060033150017261505,
-0.015106439590454102,
0.04275844991207123,
-0.008864883333444595,
0.00667431578040123,
-0.03968897834420204,
-0.011590823531150818,
-0.002775016240775585,
0.01367877796292305,
0.011073296889662743,
0.0011103411670774221,
0.0285889133810997,
0.003897068789228797,
-0.039332062005996704,
0.025876358151435852,
-0.010047164745628834,
0.008039516396820545,
-0.07545188814401627,
-0.002033301629126072,
0.02378840371966362,
0.03645889461040497,
-0.02801784873008728,
0.06288847327232361,
0.010609306395053864,
0.015722118318080902,
0.021575529128313065,
0.03761887177824974,
0.010305928997695446,
-0.013045253232121468,
0.05014659836888313,
0.011108987964689732,
-0.004407903645187616,
0.06642193347215652,
0.05389420688152313,
-0.03533461317420006,
0.022521354258060455,
-0.015258127823472023,
-0.02011217549443245,
0.018595285713672638,
-0.018845126032829285,
0.04957553371787071,
-0.016480563208460808,
0.013536011800169945,
-0.02273550257086754,
-0.046862974762916565,
0.014490759931504726,
0.022806886583566666,
0.011439134366810322,
0.010520078241825104,
-0.007709369994699955,
0.026590188965201378,
0.0031453159172087908,
0.013571703806519508,
0.02849968522787094,
0.011724666692316532,
-0.0077138314954936504,
0.005773104727268219,
0.01514213066548109,
-0.009645635262131691,
-0.04589930549263954,
-0.00046677826321683824,
-0.0017778842011466622,
0.00568833714351058,
-0.04675590246915817,
0.010778841562569141,
0.022539200261235237,
-0.0003178776823915541,
-0.005822180304676294,
0.014035693369805813,
-0.04400765523314476,
0.005608031526207924,
0.06167495995759964,
-0.004075526259839535,
0.008686425164341927,
-0.008191205561161041,
-0.00930656585842371,
-0.009690250270068645,
-0.000793021114077419,
0.040188658982515335,
0.015855960547924042,
-0.0002922243729699403,
-0.03958190605044365,
-0.01700701378285885,
0.004030911717563868,
0.013036330230534077,
-0.010868070647120476,
0.01547227706760168,
0.07944934070110321,
0.003163161687552929,
-0.02173614129424095,
-0.011251754127442837,
-0.03365711122751236,
0.036155518144369125,
0.0009937860304489732,
-0.053180377930402756,
0.037190571427345276,
0.005813257768750191,
0.01105545088648796,
-0.00700446218252182,
-0.002351179486140609,
-0.020915234461426735,
0.011207140050828457,
0.03658381476998329,
-0.061353735625743866,
0.0013852773699909449,
0.01016316283494234,
-0.0043744430877268314,
0.01729254610836506,
0.026090506464242935,
-0.012438497506082058,
-0.013750161044299603,
-0.03469216451048851,
-0.02039770781993866,
0.028981519863009453,
-0.024787766858935356,
0.01601657271385193,
0.03504908084869385,
-0.014767369255423546,
0.0410095639526844,
-0.02161121927201748,
0.025608671829104424,
0.030034421011805534,
-0.007066922727972269,
-0.012331422418355942,
0.010636075399816036,
-0.012349268421530724,
0.04786233976483345,
-0.010743149556219578,
-0.0039528366178274155,
0.0036427665036171675,
-0.010948375798761845,
-0.01720331609249115,
-0.008075208403170109,
0.0315513089299202,
0.02726832777261734,
0.02248566225171089,
0.010859147645533085,
-0.013170173391699791,
0.01872020587325096,
-0.01573104038834572,
-0.003067240584641695,
0.05228808894753456,
-0.004329828545451164,
-0.006531549617648125,
-0.03488846868276596,
0.010297005996108055,
0.027143407613039017,
0.06784959137439728,
-0.012331422418355942,
0.030123649165034294,
0.020808160305023193,
0.02228935994207859,
0.03208668529987335,
-0.010279159992933273,
-0.07538050413131714,
0.005509879440069199,
0.03133716061711311,
0.03560229763388634,
-0.02680433727800846,
-0.0010885916417464614,
0.044792868196964264,
0.002824092051014304,
-0.013080945238471031,
0.01634671911597252,
0.06456597149372101,
-0.06385214626789093,
0.008200128562748432,
-0.005086042918264866,
0.03269343823194504,
0.00284416857175529,
0.04661313444375992,
0.061639267951250076,
0.02971319667994976,
0.05671383813023567,
-0.004410134628415108,
-0.016355643048882484,
-0.027428939938545227,
0.013384322635829449,
0.042080312967300415,
0.004454748705029488,
0.02057616598904133,
0.007071383763104677,
0.007695985492318869,
-0.0037074575666338205,
-0.006750160362571478,
-0.02885659970343113,
0.012358191423118114,
-0.05667814612388611,
0.005844487808644772,
-0.017239008098840714,
-0.005630338564515114,
0.02473422884941101,
-0.022521354258060455,
0.009609944187104702,
-0.06549395620822906,
-0.013232634402811527,
0.028160614892840385,
0.01546335406601429,
0.036423202604055405,
-0.003319312119856477,
-0.031176550313830376,
-0.046970050781965256,
0.03993881866335869,
-0.028535377234220505,
-0.0637807622551918,
0.010689612478017807,
0.009940090589225292,
0.017890378832817078,
0.058070115745067596,
-0.005822180304676294,
-0.005822180304676294,
0.007490759249776602,
-0.0033148506190627813,
0.003870300017297268,
-0.0062995548360049725,
-0.02660803496837616,
0.026911411434412003,
0.0234136413782835,
-0.010564692318439484,
0.03251498192548752,
0.019951563328504562,
-0.011135756969451904,
0.028731679543852806,
0.03779732808470726,
0.02255704626441002,
0.0410095639526844,
0.02876737155020237,
-0.006495858076959848,
-0.017943914979696274,
0.0112874461337924,
0.044792868196964264,
0.018648823723196983,
0.012679414823651314,
-0.005295730661600828,
0.041509248316287994,
-0.03495985269546509,
-0.00786552019417286,
-0.008793500252068043,
0.0030137032736092806,
-0.025251755490899086,
-0.0017678459407761693,
0.004316444043070078,
0.0025296369567513466,
-0.024520080536603928,
0.018470365554094315,
-0.016150416806340218,
0.0410095639526844,
0.0036717660259455442,
-0.019112812355160713,
-0.003076163586229086,
0.007089229766279459,
0.049968138337135315,
0.03301466256380081,
-0.04079541563987732,
0.07266794890165329,
0.017979606986045837,
0.036155518144369125,
-0.019612494856119156,
-0.04814787209033966,
-0.020469091832637787,
0.020094329491257668,
-0.05746335908770561,
0.04793372377753258,
-0.022681966423988342,
0.03288974240422249,
0.06527980417013168,
-0.0007015615701675415,
-0.007816444151103497,
0.026964949443936348,
0.0000870678122737445,
-0.05699937045574188,
0.02905290387570858,
0.03187253326177597,
-0.008543659932911396,
0.0001325884513789788,
-0.009016572497785091,
0.07102613896131516,
-0.04325813055038452,
-0.005737413186579943,
0.011626515537500381,
-0.016899937763810158,
0.020469091832637787,
-0.055428944528102875,
-0.03151562064886093,
-0.03183684125542641,
0.0049745067954063416,
0.026964949443936348,
0.019719569012522697,
-0.011965584941208363,
0.012518803589046001,
0.015026133507490158,
0.009788401424884796,
0.014187382534146309,
0.024109626188874245,
-0.036726582795381546,
-0.003027087775990367,
-0.011528363451361656,
0.0024627153761684895,
0.02086169831454754,
-0.003921606577932835,
-0.024466542527079582,
-0.00867750309407711,
-0.0031587001867592335,
-0.04982537403702736,
0.0215398371219635,
-0.0014209689106792212,
0.013241556473076344,
0.04839771240949631,
-0.0426870658993721,
-0.004430210683494806,
-0.003810070687904954,
-0.008186744526028633,
0.00895411241799593,
0.02048693783581257,
-0.0053448062390089035,
-0.0016563099343329668,
-0.02566220797598362,
-0.0064110904932022095,
0.00048601822345517576,
-0.06370937824249268,
0.013616317883133888,
0.025697899982333183,
0.0234136413782835,
-0.03772594407200813,
-0.007785214576870203,
0.0006000638240948319,
-0.006402167957276106,
-0.0037074575666338205,
-0.03851115703582764,
-0.005585724022239447,
-0.03094455413520336,
-0.011216063052415848,
0.029391972348093987,
-0.007365839090198278,
0.04411472752690315,
0.05039643868803978,
-0.016882091760635376,
-0.015356279909610748,
-0.004030911717563868,
0.007178458385169506,
0.0015035056276246905,
-0.013134482316672802,
-0.0271612536162138,
0.046113453805446625,
0.005295730661600828,
-0.02350287139415741,
-0.05350159853696823,
-0.01843467354774475,
0.020147867500782013,
-0.00851242896169424,
-0.05114595964550972,
0.037940092384815216,
0.004381135106086731,
0.035102616995573044,
-0.00538049777969718,
-0.000754541193600744,
0.027750162407755852,
0.002652326598763466,
-0.055892933160066605,
0.0234136413782835,
-0.01217973418533802,
0.054964952170848846,
-0.04336520656943321,
-0.0029445509426295757,
-0.001692001475021243,
-0.003392925951629877,
-0.0406169593334198,
-0.013188019394874573,
0.04854047670960426,
-0.005286807660013437,
0.011671129614114761,
-0.022699812427163124,
-0.018042067065835,
-0.05425112321972847,
0.009663481265306473,
0.010975144803524017,
-0.03231867775321007,
0.02585851214826107,
-0.011385597288608551,
0.030319953337311745,
0.013491397723555565,
0.006130020134150982,
0.007624602876603603,
-0.05500064417719841,
-0.03203314542770386,
0.01841682754456997,
0.007646909914910793,
-0.03196176141500473,
0.036137670278549194,
-0.02020140551030636,
0.009253028780221939,
-0.02236074209213257,
0.032871898263692856,
-0.001373008475638926,
-0.025073299184441566,
0.04468579217791557,
-0.08287572860717773,
-0.041402172297239304,
-0.00958317518234253,
0.0022775656543672085,
-0.03704780712723732,
-0.003337157890200615,
0.001576004084199667,
-0.005059273913502693,
-0.0019708415493369102,
0.04429318755865097,
-0.009123646654188633,
-0.010680689476430416,
-0.0002021590480580926,
0.01691778376698494,
0.007223072927445173,
-0.014883367344737053,
0.06727852672338486,
-0.01076991856098175,
0.002018802100792527,
0.024234548211097717,
0.03665519878268242,
-0.0033527729101479053,
0.013571703806519508,
0.005282346159219742,
0.0026166350580751896,
-0.07545188814401627,
0.030873171985149384,
-0.06870619207620621,
0.026822183281183243,
0.0040286811999976635,
-0.0034085409715771675,
0.0273575559258461,
-0.04914723336696625,
-0.011867432855069637,
0.016355643048882484,
0.007740600034594536,
0.017765458673238754,
-0.0039037608075886965,
-0.03326450288295746,
-0.004320905543863773,
-0.016507331281900406,
0.03335373103618622,
-0.013384322635829449,
0.011635438539087772,
-0.005924793425947428,
-0.05742766708135605,
-0.01669471152126789,
-0.00930656585842371,
-0.038225624710321426,
-0.005737413186579943,
-0.04814787209033966,
-0.007031231187283993,
0.05742766708135605,
-0.023841939866542816,
0.008940727449953556,
0.020933080464601517,
-0.01658763736486435,
0.006741237360984087,
-0.0080841314047575,
0.0015849268529564142,
-0.010073933750391006,
-0.010885915718972683,
-0.04707712680101395,
-0.015615043230354786,
-0.007303379010409117,
-0.01834544539451599,
-0.036441050469875336,
0.0712759792804718,
0.004543977789580822,
0.03326450288295746,
-0.05271638557314873,
-0.003950606100261211,
-0.04275844991207123,
0.02425239235162735,
-0.0283926110714674,
-0.010511155240237713,
-0.02669726312160492,
0.012715106830000877,
0.0004227215249557048,
-0.02605481445789337,
0.0221822839230299,
-0.000517805980052799,
0.021307842805981636,
0.009761632420122623,
-0.04693435877561569,
-0.015177822671830654,
-0.06096113100647926,
-0.024787766858935356,
0.02123645879328251,
-0.04354366287589073,
0.03235436975955963,
0.012358191423118114,
0.007548758294433355,
-0.02189675159752369,
-0.0008275972795672715,
0.009061186574399471,
0.00166300218552351,
-0.023538563400506973,
-0.00709815276786685,
-0.022789040580391884,
0.028713833540678024,
0.00101442018058151,
-0.013411091640591621,
0.013527088798582554,
0.00479604909196496,
-0.00284416857175529,
0.008195667527616024,
0.008534736931324005,
-0.011421289294958115,
0.03244359791278839,
0.0006926386849954724,
0.041687704622745514,
0.044507335871458054,
0.03369280323386192,
0.06295985728502274,
0.004140217322856188,
-0.02189675159752369,
0.042651377618312836,
-0.0015492354286834598,
-0.0221822839230299,
-0.0016685789451003075,
0.001431007171049714,
0.019790953025221825,
0.02584066614508629,
-0.0033036970999091864,
0.006808158941566944,
-0.031194394454360008,
-0.015561506152153015,
0.01330401748418808,
-0.02923136204481125,
0.032390061765909195,
-0.04925430938601494
] |
With the end of Moore's Law, there is a growing demand for rapid
architectural innovations in modern processors, such as RISC-V custom
extensions, to continue performance scaling. Program sampling is a crucial step
in microprocessor design, as it selects representative simulation points for
workload simulation. While SimPoint has been the de-facto approach for decades,
its limited expressiveness with Basic Block Vector (BBV) requires
time-consuming human tuning, often taking months, which impedes fast innovation
and agile hardware development. This paper introduces Neural Program Sampling
(NPS), a novel framework that learns execution embeddings using dynamic
snapshots of a Graph Neural Network. NPS deploys AssemblyNet for embedding
generation, leveraging an application's code structures and runtime states.
AssemblyNet serves as NPS's graph model and neural architecture, capturing a
program's behavior in aspects such as data computation, code path, and data
flow. AssemblyNet is trained with a data prefetch task that predicts
consecutive memory addresses.
In the experiments, NPS outperforms SimPoint by up to 63%, reducing the
average error by 38%. Additionally, NPS demonstrates strong robustness with
increased accuracy, reducing the expensive accuracy tuning overhead.
Furthermore, NPS shows higher accuracy and generality than the state-of-the-art
GNN approach in code behavior learning, enabling the generation of high-quality
execution embeddings. | [
0.04074844717979431,
0.013534563593566418,
-0.038685690611600876,
0.000947690918110311,
0.06904798746109009,
0.023287411779165268,
0.008925031870603561,
0.04226836934685707,
-0.02770243026316166,
-0.0011105398880317807,
0.01633918657898903,
-0.017877204343676567,
0.054500143975019455,
-0.045127276331186295,
-0.02598346769809723,
0.027358638122677803,
-0.021405600011348724,
-0.01881811022758484,
0.05113459751009941,
-0.03171937167644501,
0.04194267466664314,
-0.04121889919042587,
-0.012964592315256596,
0.014882592484354973,
-0.01927046850323677,
0.02994612790644169,
-0.023377884179353714,
0.03141177073121071,
-0.11153349280357361,
0.014547847211360931,
0.001188571797683835,
0.0425940677523613,
-0.007192499004304409,
-0.01698153465986252,
-0.006749187596142292,
0.00767199881374836,
0.06665953993797302,
0.01954188384115696,
-0.022436978295445442,
-0.006744664162397385,
0.010241394862532616,
0.007739852648228407,
0.007373442407697439,
0.0009499526931904256,
0.015407327562570572,
-0.012521280907094479,
0.028281448408961296,
-0.03018135391175747,
0.00018150881805922836,
-0.060724593698978424,
0.030941316857933998,
0.037925731390714645,
0.021315129473805428,
-0.05062795430421829,
0.0034401859156787395,
-0.0003966617805417627,
0.01336266752332449,
0.0356096550822258,
0.07563433051109314,
-0.016845827922225,
-0.04469301179051399,
0.005835423711687326,
0.003272813279181719,
-0.027503391727805138,
0.00989760272204876,
-0.02940329723060131,
0.029131881892681122,
0.004519060719758272,
0.05381255969405174,
-0.0209894310683012,
-0.07190689444541931,
-0.01372455433011055,
-0.03602582588791847,
0.012430809438228607,
0.0246987696737051,
0.008920508436858654,
0.06452440470457077,
0.055513426661491394,
-0.004256692714989185,
0.0291499774903059,
0.025386353954672813,
0.061665501445531845,
0.02297980710864067,
0.01608586497604847,
0.08916889131069183,
-0.01148085668683052,
0.03287741169333458,
-0.06658715754747391,
0.028064316138625145,
-0.03778097406029701,
-0.008241970092058182,
-0.007789612282067537,
0.008549573831260204,
0.005826376378536224,
-0.01655631884932518,
0.08793848007917404,
-0.002325122244656086,
-0.030959410592913628,
0.006405395455658436,
0.048565201461315155,
-0.019143808633089066,
-0.025892995297908783,
0.019903769716620445,
0.00008481720578856766,
0.025350166484713554,
-0.01199654582887888,
-0.04863757640123367,
0.01444832794368267,
0.019179997965693474,
0.12955544888973236,
-0.01979520544409752,
-0.051026031374931335,
0.00849076732993126,
0.024427354335784912,
-0.01593206450343132,
-0.0019541883375495672,
-0.03244314715266228,
-0.06702142208814621,
-0.0033022165298461914,
-0.02097133733332157,
0.04997655749320984,
0.08482625335454941,
0.0026214171666651964,
0.028788089752197266,
-0.05113459751009941,
0.04892708733677864,
-0.03414401412010193,
-0.04371591657400131,
-0.029330920428037643,
-0.03579059988260269,
0.014755931682884693,
-0.0047588106244802475,
0.011770365759730339,
-0.060435086488723755,
0.045091088861227036,
-0.004265740048140287,
-0.02844429761171341,
0.017325326800346375,
-0.004123247228562832,
-0.025404449552297592,
0.018854299560189247,
-0.020898958668112755,
-0.014873544685542583,
-0.0775885134935379,
0.052039314061403275,
-0.0009770941687747836,
-0.010594233870506287,
0.08873462677001953,
-0.02989184483885765,
0.017361516132950783,
-0.043390218168497086,
0.06969938427209854,
0.017488176003098488,
0.017578648403286934,
0.00895217340439558,
0.058951348066329956,
-0.03466875106096268,
-0.012295101769268513,
-0.012575563974678516,
0.01729818619787693,
0.05464489758014679,
-0.05196693539619446,
-0.026562485843896866,
0.03973516449332237,
-0.00693465443328023,
0.0031732942443341017,
0.028335731476545334,
-0.009924744255840778,
-0.052039314061403275,
0.01901714876294136,
-0.018220996484160423,
0.06032652035355568,
0.0024789241142570972,
0.0411103330552578,
0.03911995515227318,
0.0015006990870460868,
0.014565940946340561,
0.0032999548129737377,
-0.005093555897474289,
-0.014991158619523048,
-0.00010036702587967739,
-0.0015470657963305712,
0.007246782071888447,
-0.01408644113689661,
-0.011589422821998596,
0.03749146685004234,
0.040893200784921646,
0.004618579521775246,
0.02918616496026516,
-0.024517826735973358,
0.014222148805856705,
0.010286630131304264,
0.047805238515138626,
-0.027286259457468987,
0.03437924012541771,
-0.027376731857657433,
-0.03653246536850929,
0.007699140347540379,
-0.027123410254716873,
0.0932944044470787,
-0.055766746401786804,
-0.04252169281244278,
-0.004175268113613129,
-0.045851048082113266,
0.035446807742118835,
0.00043002323945984244,
0.009662375785410404,
0.021079903468489647,
0.04096557945013046,
-0.02477114647626877,
0.015253526158630848,
-0.029131881892681122,
-0.043896861374378204,
-0.054753463715314865,
-0.029964221641421318,
-0.02969280630350113,
0.010340913198888302,
-0.009689517319202423,
-0.04255788028240204,
-0.019487600773572922,
-0.014050252735614777,
-0.003695768304169178,
0.05381255969405174,
-0.05927704647183418,
-0.012087017297744751,
-0.004206933546811342,
0.028589053079485893,
0.022436978295445442,
0.01844717562198639,
0.02102562040090561,
-0.0005787360714748502,
0.015923015773296356,
0.02896903268992901,
0.030072787776589394,
0.013236007653176785,
-0.024101655930280685,
0.019632356241345406,
0.007753423415124416,
-0.026761524379253387,
0.04889089986681938,
0.012240818701684475,
0.02077229879796505,
-0.013932639732956886,
0.02393880859017372,
0.022310316562652588,
-0.008536003530025482,
-0.0048447586596012115,
0.04404161497950554,
0.01610396057367325,
0.027014845982193947,
-0.007911749184131622,
-0.02073610946536064,
0.026870090514421463,
0.034686844795942307,
-0.04530822113156319,
-0.004853805992752314,
-0.010621375404298306,
-0.0323345810174942,
0.022364599630236626,
-0.0032547188457101583,
0.010530903935432434,
-0.00331126363016665,
0.01199654582887888,
0.010331866331398487,
-0.04132746532559395,
0.01493687555193901,
0.04722622036933899,
0.00846362579613924,
-0.00897026713937521,
0.027032939717173576,
0.00834601279348135,
-0.024517826735973358,
-0.023576920852065086,
-0.015552083030343056,
0.038215238600969315,
-0.04299214482307434,
0.0023839289788156748,
0.002158880466595292,
0.027105316519737244,
0.01852860115468502,
-0.003964921459555626,
0.018230045214295387,
-0.015334950760006905,
-0.008255541324615479,
-0.05554961413145065,
-0.0544639527797699,
-0.052763085812330246,
-0.020826581865549088,
-0.053052596747875214,
0.008332442492246628,
-0.06959082186222076,
-0.013163629919290543,
-0.03825142979621887,
0.046140559017658234,
0.04773285984992981,
0.027069127187132835,
-0.040386561304330826,
-0.009042644873261452,
0.016312044113874435,
-0.00010891942656598985,
0.013480281457304955,
0.01593206450343132,
0.02690627984702587,
0.008391248993575573,
-0.05659908428788185,
-0.014403091743588448,
-0.03278693929314613,
0.0527992770075798,
0.02075420506298542,
0.004975942429155111,
0.041653163731098175,
-0.0023658345453441143,
0.012421762570738792,
-0.004709050990641117,
-0.00977094192057848,
0.052509766072034836,
-0.0006791030755266547,
0.01682773418724537,
-0.036188673228025436,
-0.04650244489312172,
-0.017207713797688484,
-0.014077394269406796,
-0.0940905511379242,
0.06716617941856384,
0.055730558931827545,
0.032750748097896576,
0.01591396890580654,
0.05507916212081909,
-0.026055844500660896,
-0.01883620396256447,
-0.008576715365052223,
-0.06680428981781006,
-0.07469342648983002,
-0.037961918860673904,
0.011417526751756668,
-0.012141300365328789,
-0.023088373243808746,
0.0646691620349884,
-0.011046593077480793,
0.007757946848869324,
-0.006523008458316326,
0.00680347066372633,
-0.018872393295168877,
-0.00952666811645031,
-0.007834848016500473,
-0.037708599120378494,
-0.05536866933107376,
-0.007088456302881241,
0.012801743112504482,
0.0014520705444738269,
0.00112241436727345,
0.030561335384845734,
0.06152074411511421,
-0.044620633125305176,
0.08779372274875641,
-0.04968705028295517,
-0.015470658428966999,
0.005392112303525209,
-0.027014845982193947,
-0.007228687405586243,
0.039916105568408966,
-0.022889336571097374,
0.011381338350474834,
0.03385450318455696,
-0.07512768357992172,
0.022654110565781593,
0.014131677336990833,
-0.022545544430613518,
0.01729818619787693,
0.04849282279610634,
-0.006423489656299353,
0.07082123309373856,
-0.02401118539273739,
-0.0070929802022874355,
-0.006595385726541281,
0.004283834248781204,
0.008943125605583191,
0.024155938997864723,
-0.0508812740445137,
0.04997655749320984,
-0.003566846251487732,
0.036496277898550034,
0.01593206450343132,
0.02717769332230091,
0.05174980312585831,
0.0246987696737051,
0.032298389822244644,
-0.028516674414277077,
-0.036496277898550034,
0.022382695227861404,
0.011109923012554646,
-0.05482584238052368,
-0.027087222784757614,
-0.033999260514974594,
0.02963852323591709,
-0.010956120677292347,
0.0005012696492485702,
-0.04697289690375328,
0.02697865664958954,
-0.035989634692668915,
-0.023812146857380867,
-0.010196158662438393,
-0.06387300789356232,
0.03687625750899315,
-0.055983878672122955,
0.021405600011348724,
-0.04071225970983505,
-0.08127976208925247,
0.020645638927817345,
-0.023540731519460678,
0.02987375110387802,
-0.02621869370341301,
-0.004718098323792219,
-0.012729366309940815,
0.03872188180685043,
-0.009210017509758472,
-0.03886663541197777,
-0.008879795670509338,
-0.0016952131409198046,
-0.023395977914333344,
-0.023667393252253532,
0.023848336189985275,
0.051785990595817566,
0.0089793149381876,
0.002303635235875845,
0.038432370871305466,
-0.017994817346334457,
0.023576920852065086,
0.02768433466553688,
-0.04349878430366516,
0.001960973720997572,
-0.00025954065495170653,
0.0023183368612080812,
-0.020356129854917526,
-0.05793806537985802,
-0.01496401708573103,
0.03130320459604263,
-0.004071225877851248,
-0.07556194812059402,
-0.027557674795389175,
-0.04621293768286705,
-0.05833614245057106,
-0.02301599644124508,
-0.012765554711222649,
-0.030796561390161514,
-0.010187111794948578,
-0.05156886205077171,
-0.021550355479121208,
-0.0183295626193285,
-0.04874614253640175,
-0.07744376361370087,
0.035718221217393875,
-0.05334210395812988,
-0.002876999555155635,
0.10197968035936356,
-0.00518402736634016,
-0.04382448270916939,
-0.01927046850323677,
0.007871036417782307,
-0.019360940903425217,
-0.00008941147098084912,
0.04234074801206589,
0.014891639351844788,
-0.09293251484632492,
0.016022535040974617,
0.0345601849257946,
-0.018519554287195206,
-0.05862565338611603,
0.004154912196099758,
0.02846239134669304,
0.023902619257569313,
-0.0007401714683510363,
0.0287157129496336,
0.023432167246937752,
0.037165768444538116,
0.0018297898350283504,
-0.010304724797606468,
-0.05070033296942711,
0.016782497987151146,
0.005360447335988283,
0.0039513506926596165,
-0.02620059996843338,
0.033203110098838806,
-0.0022233417257666588,
-0.044873956590890884,
0.02272648736834526,
0.008689804933965206,
-0.004376567900180817,
0.013760743662714958,
-0.006183739751577377,
-0.02645391970872879,
0.0027186740189790726,
-0.0651034265756607,
-0.020808488130569458,
0.005545914173126221,
-0.004799522925168276,
-0.011580375954508781,
-0.03246124088764191,
0.07454866915941238,
0.05182218179106712,
-0.036659125238657,
-0.05323353782296181,
-0.04150841012597084,
0.017931487411260605,
-0.03582678735256195,
-0.007952461019158363,
-0.007278447039425373,
0.04925278574228287,
-0.02524160034954548,
-0.015597318299114704,
-0.012557470239698887,
-0.014846403151750565,
0.0010438170284032822,
-0.0000421258773712907,
0.004799522925168276,
-0.015787309035658836,
-0.004175268113613129,
-0.03342023864388466,
0.05793806537985802,
0.02867952361702919,
0.016194431111216545,
0.0033022165298461914,
-0.010286630131304264,
0.004089320078492165,
-0.055006783455610275,
0.009092404507100582,
0.052509766072034836,
-0.007667475380003452,
0.02419212833046913,
0.004629888571798801,
-0.013136488385498524,
0.016429657116532326,
-0.020446600392460823,
-0.03519348427653313,
-0.02990993857383728,
-0.041689351201057434,
-0.03461446613073349,
0.03466875106096268,
-0.034759219735860825,
-0.012937450781464577,
-0.006844182964414358,
0.035953447222709656,
0.027322448790073395,
0.03998848423361778,
-0.04925278574228287,
-0.00859028659760952,
0.0024110705126076937,
-0.0116075174883008,
-0.01247604563832283,
0.02571205236017704,
-0.02574824169278145,
0.01061232853680849,
0.021315129473805428,
-0.013109346851706505,
-0.02028375118970871,
-0.059204671531915665,
-0.0035216102842241526,
-0.014584035612642765,
0.01770530827343464,
0.002167927799746394,
-0.03872188180685043,
0.018908582627773285,
0.015398280695080757,
-0.04552535340189934,
-0.01100135687738657,
-0.001793601200915873,
0.014403091743588448,
0.05171361565589905,
-0.002207509009167552,
0.022871240973472595,
-0.02395690232515335,
0.04870995506644249,
-0.01745198853313923,
0.009010979905724525,
0.018980959430336952,
0.032063163816928864,
-0.015506846830248833,
-0.021894147619605064,
-0.026743430644273758,
-0.005839947145432234,
-0.008563145063817501,
-0.016999630257487297,
0.03380022197961807,
0.013661224395036697,
0.034216392785310745,
0.0004170179308857769,
-0.042919766157865524,
-0.022672204300761223,
0.02449973300099373,
-0.031031787395477295,
0.02524160034954548,
0.018148619681596756,
-0.0678175762295723,
0.01577826216816902,
-0.031013693660497665,
0.012530328705906868,
0.04277501255273819,
-0.0375276543200016,
0.011290865950286388,
-0.03262408822774887,
0.01175227202475071,
0.03041657991707325,
-0.012077969498932362,
0.015877781435847282,
0.006075173616409302,
0.012937450781464577,
0.032262202352285385,
-0.018284328281879425,
-0.003566846251487732,
0.013977875001728535,
-0.010684706270694733,
0.015787309035658836,
0.03211744874715805,
-0.04281120002269745,
0.004817617125809193,
-0.003132582176476717,
0.04226836934685707,
0.021061807870864868,
-0.013109346851706505,
0.015090676955878735,
0.018474318087100983,
-0.011833696626126766,
0.04208742827177048,
-0.02276267670094967,
-0.04367972910404205,
0.042883578687906265,
0.003833737690001726,
-0.02446354366838932,
0.0037749309558421373,
-0.026526298373937607,
-0.02153226174414158,
0.025603486225008965,
-0.040893200784921646,
-0.0014113582437857985,
-0.0479138046503067,
0.026327259838581085,
0.013326479122042656,
0.05692478269338608,
-0.032750748097896576,
-0.003437923965975642,
-0.011281819082796574,
-0.011824648827314377,
0.010449479334056377,
0.06698523461818695,
-0.0023149442858994007,
0.01782292127609253,
-0.011227536015212536,
-0.01433071494102478,
0.0459958054125309,
0.030977504327893257,
0.024644486606121063,
0.027575770393013954,
0.02147797867655754,
0.037201955914497375,
-0.020374223589897156,
-0.00813340488821268,
0.07368014007806778,
-0.012286054901778698,
-0.02026565745472908,
0.018230045214295387,
-0.036695316433906555,
0.026110127568244934,
-0.011878931894898415,
0.011444668285548687,
0.0011704773642122746,
-0.005414730403572321,
-0.06557387858629227,
0.026254883036017418,
-0.011209441348910332,
0.04530822113156319,
-0.03689435124397278,
-0.02600156143307686,
-0.01163465902209282,
0.04223218187689781,
0.016882017254829407,
-0.03110416606068611,
0.036930542439222336,
0.02127894014120102,
0.04234074801206589,
-0.010829460807144642,
0.013552658259868622,
0.04248550161719322,
0.004944277461618185,
-0.008816465735435486,
-0.049071840941905975,
-0.013416950590908527,
0.00962618738412857,
-0.043136898428201675,
-0.04577867314219475,
0.019125714898109436,
-0.026652958244085312,
-0.03504873067140579,
0.02051897719502449,
0.005102603230625391,
0.09901221096515656,
0.025585392490029335,
-0.0179586298763752,
0.0001870219421107322,
0.038939014077186584,
-0.015063535422086716,
-0.016583459451794624,
-0.02969280630350113,
-0.017252949997782707,
-0.07049553841352463,
0.046393878757953644,
0.02696056291460991,
0.008504338562488556,
-0.02051897719502449,
-0.028082411736249924,
-0.0030059218406677246,
0.005437348037958145,
0.040639881044626236,
-0.006228975486010313,
0.054717276245355606,
0.016565365716814995,
0.00429514329880476,
0.028534770011901855,
-0.013769790530204773,
-0.046574823558330536,
0.02600156143307686,
0.027032939717173576,
0.00021557706349994987,
-0.008327918127179146,
-0.042413126677274704,
-0.02938520349562168,
0.0032999548129737377,
-0.016583459451794624,
0.010820413939654827,
-0.019903769716620445,
-0.009246205911040306,
0.02421022206544876,
-0.06202738732099533,
-0.02493399567902088,
-0.013163629919290543,
0.05265451967716217,
-0.0263996385037899,
-0.010096640326082706,
0.020718015730381012,
0.011734177358448505,
-0.04273882508277893,
0.016275856643915176,
-0.029077598825097084,
0.017108196392655373,
0.018230045214295387,
0.0033338814973831177,
-0.0021554878912866116,
-0.016646789386868477,
-0.028589053079485893,
-0.059494178742170334,
0.0056092445738613605,
0.04378829523921013,
-0.007301065139472485,
0.021876053884625435,
-0.05916848033666611,
-0.05612863227725029,
-0.022183656692504883,
0.0016160504892468452,
0.003992062993347645,
0.02223793976008892,
-0.00783937145024538,
-0.02822716534137726,
0.05580293387174606,
0.010684706270694733,
0.010657564736902714,
0.04360735043883324,
-0.020681826397776604,
-0.00793436635285616,
0.0010195027571171522,
0.014674507081508636,
0.01813957281410694,
0.042376935482025146,
-0.0022516141179949045,
0.02171320468187332,
-0.002217687200754881,
-0.004179792013019323,
0.029602335765957832,
-0.005640909541398287,
0.01930665783584118,
0.003476374549791217,
-0.00087305175838992,
-0.029005222022533417,
-0.0042024096474051476,
0.02641773223876953,
0.04429493844509125,
-0.010458527132868767,
-0.02250935509800911,
-0.021658921614289284,
-0.02326931804418564,
0.014973063953220844,
0.006369206588715315,
-0.011381338350474834,
-0.028118599206209183,
0.00906978640705347,
0.003261504229158163,
0.05156886205077171,
0.016076818108558655,
0.006256117019802332,
-0.010205206461250782,
-0.05547723546624184,
-0.006274211220443249,
0.0706041008234024,
-0.034433525055646896,
-0.004575605504214764,
0.04371591657400131,
-0.00557305570691824,
-0.03137557953596115,
-0.008386725559830666,
-0.040639881044626236,
-0.021876053884625435,
0.000424368743551895,
0.009200970642268658,
-0.00795698445290327,
0.0027729570865631104,
0.005554961506277323,
0.06003700941801071,
-0.01955997757613659,
-0.0070070321671664715,
0.026345355436205864,
-0.009915696457028389,
-0.011200394481420517,
0.0118698850274086,
-0.03218982368707657,
-0.0054871076717972755,
-0.05022988095879555,
-0.02573014795780182,
-0.04592342674732208,
0.02965661883354187,
0.04320927709341049,
0.0651034265756607,
0.004713574890047312,
-0.003132582176476717,
0.032244108617305756,
0.0051659331656992435,
0.046393878757953644,
-0.03157461807131767,
0.019831392914056778,
-0.023377884179353714,
0.03987991809844971,
-0.029529957100749016,
-0.0031642471440136433,
-0.006504914257675409,
0.00021769749582745135,
0.0179586298763752,
-0.04234074801206589,
-0.028788089752197266,
0.03193650394678116,
-0.026309166103601456,
0.0678175762295723,
0.006676810327917337,
0.014032158069312572,
0.008554098196327686,
0.03266027942299843,
-0.0004939188365824521,
-0.003035325091332197,
-0.04570629447698593,
0.012358431704342365,
0.007323682773858309,
0.024174034595489502,
-0.01981329917907715,
-0.02813669480383396,
0.04530822113156319,
-0.0036166056524962187,
0.008097215555608273,
-0.036785788834095,
0.023142656311392784,
0.00820125825703144,
-0.0263996385037899,
-0.04273882508277893,
-0.056960973888635635,
-0.054536331444978714,
0.006274211220443249,
0.047081463038921356,
-0.06966319680213928,
0.028824279084801674,
-0.021677015349268913,
0.019071431830525398,
0.0068487063981592655,
-0.027810996398329735,
-0.011571328155696392,
-0.007631286513060331,
-0.0014498087111860514,
0.01348932832479477,
0.03188222274184227,
0.004075749311596155,
0.04798618331551552,
-0.000907544104848057,
-0.006577291525900364,
-0.06390919536352158,
-0.05073652043938637,
-0.05269071087241173,
0.015823498368263245,
0.007572480011731386,
0.003598511219024658,
0.018202902749180794,
0.04606818035244942,
-0.007712711114436388,
-0.024572109803557396,
-0.008911460638046265,
0.03749146685004234,
0.015407327562570572,
-0.002607846399769187,
-0.021640827879309654,
0.005107126664370298,
-0.04053131490945816,
0.001141074113547802,
-0.009273347444832325,
0.018012912943959236,
-0.003100916976109147,
-0.005776617210358381,
-0.009372866712510586,
0.013416950590908527,
-0.0030194923747330904,
-0.0070477444678545,
-0.04194267466664314,
0.03260599449276924,
0.04132746532559395,
-0.024572109803557396,
-0.013498375192284584,
0.040893200784921646,
-0.02591109089553356,
0.01162561122328043,
0.02126084640622139,
-0.0084229139611125,
-0.004019204527139664,
-0.001585516263730824,
0.020862771198153496,
0.01608586497604847,
0.01751531846821308,
-0.03416210785508156,
-0.010196158662438393,
-0.026526298373937607,
0.029566146433353424,
0.021568449214100838,
0.0021328700240701437,
0.04129127785563469,
0.002071801573038101,
-0.02623678930103779,
-0.014945922419428825,
-0.022147469222545624,
0.011164206080138683,
-0.05033844709396362,
0.009933791123330593,
-0.027087222784757614,
0.01819385588169098,
0.03506682440638542,
-0.023052185773849487,
0.04277501255273819,
0.0274491086602211,
0.0015877780970185995,
0.04125508666038513,
-0.04317308962345123,
-0.005848994478583336,
0.0118698850274086,
-0.0006655323086306453,
0.001135419588536024,
-0.016601555049419403,
-0.009142164140939713,
0.0015798617387190461,
-0.030977504327893257,
0.0007418678142130375,
0.028335731476545334,
0.003195912344381213,
-0.01558827143162489,
-0.01496401708573103,
0.025386353954672813,
-0.02178558148443699,
-0.028498580679297447,
-0.01647489331662655,
0.003903853241354227,
0.01903524249792099,
0.0028362872544676065,
-0.02591109089553356,
0.022382695227861404,
0.04371591657400131,
0.0019225232535973191,
-0.02916807122528553,
0.04244931414723396,
-0.021079903468489647,
0.011815601959824562,
0.02325122244656086,
0.05124316364526749,
-0.009490479715168476,
0.040929391980171204,
0.026888184249401093,
0.005826376378536224,
-0.01677345111966133,
0.027630051597952843,
-0.02670724131166935,
-0.05167742446064949,
0.005333305802196264,
-0.014538799412548542,
0.019198091700673103,
0.039952296763658524,
-0.021695109084248543,
-0.012720318511128426,
0.04404161497950554,
0.018012912943959236,
-0.020591355860233307,
-0.01928856410086155,
-0.028353825211524963,
0.005070937797427177,
-0.04827569052577019,
-0.03466875106096268,
0.02770243026316166,
0.023866429924964905,
0.008689804933965206,
0.024318788200616837,
-0.026128223165869713,
-0.04802237078547478,
0.02180367521941662,
-0.022853147238492966,
-0.017352469265460968,
0.01111896988004446,
0.002270839177072048,
0.00599827291443944,
0.006305876653641462,
-0.018347658216953278,
0.035989634692668915,
0.0030036598909646273,
0.0048447586596012115,
0.014846403151750565,
-0.04136365279555321,
0.009608092717826366,
-0.05714191496372223
] |
Balancing electrolytes is utmost important and essential for appropriate
functioning of organs in human body as electrolytes imbalance can be an
indication of the development of underlying pathophysiology. Efficient
monitoring of electrolytes imbalance not only can increase the chances of early
detection of disease, but also prevents the further deterioration of the health
by strictly following nutrient controlled diet for balancing the electrolytes
post disease detection. In this research, a recommender system MATURE Health is
proposed and implemented, which predicts the imbalance of mandatory
electrolytes and other substances presented in blood and recommends the food
items with the balanced nutrients to avoid occurrence of the electrolytes
imbalance. The proposed model takes user most recent laboratory results and
daily food intake into account to predict the electrolytes imbalance. MATURE
Health relies on MATURE Food algorithm to recommend food items as latter
recommends only those food items that satisfy all mandatory nutrient
requirements while also considering user past food preferences. To validate the
proposed method, particularly sodium, potassium, and BUN levels have been
predicted with prediction algorithm, Random Forest, for dialysis patients using
their laboratory reports history and daily food intake. And, the proposed model
demonstrates 99.53 percent, 96.94 percent and 95.35 percent accuracy for
Sodium, Potassium, and BUN respectively. MATURE Health is a novel health
recommender system that implements machine learning models to predict the
imbalance of mandatory electrolytes and other substances in the blood and
recommends the food items which contain the required amount of the nutrients
that prevent or at least reduce the risk of the electrolytes imbalance. | [
-0.006492858286947012,
0.036752380430698395,
-0.010911738499999046,
0.02714855596423149,
-0.002529412042349577,
0.012929663062095642,
-0.010201727971434593,
-0.03359470143914223,
-0.0001852391433203593,
-0.02131899632513523,
0.043310634791851044,
-0.037948187440633774,
-0.002499049762263894,
-0.05242866277694702,
0.04573961719870567,
0.04936440661549568,
-0.013041770085692406,
-0.03867688030004501,
0.0024663519579917192,
-0.02528010681271553,
-0.0492149293422699,
-0.05695030838251114,
-0.0045847054570913315,
0.014265603385865688,
0.025934062898159027,
0.021524526178836823,
0.0684225782752037,
-0.018843302503228188,
-0.001067351084202528,
-0.005376460030674934,
0.03744370490312576,
-0.008870459161698818,
-0.00799228809773922,
0.017675520852208138,
-0.0612851083278656,
-0.026233015581965446,
-0.006249960046261549,
0.07103841006755829,
0.05754821002483368,
-0.023056652396917343,
0.018170660361647606,
0.006857205647975206,
-0.0027863236609846354,
0.013434143736958504,
0.023822717368602753,
-0.06367672234773636,
-0.0048859925009310246,
-0.04626278206706047,
0.004267069045454264,
0.0002210024103987962,
0.046449627727270126,
-0.009085330180823803,
0.026793550699949265,
-0.04618804529309273,
-0.046972792595624924,
0.021935584023594856,
-0.005736136343330145,
0.02301928400993347,
0.05332551524043083,
0.04502960667014122,
0.004769214428961277,
0.010865027084946632,
0.02447667345404625,
0.007104774937033653,
0.00897789467126131,
0.003456629579886794,
-0.006815165281295776,
0.05762294679880142,
-0.02587801031768322,
0.048841241747140884,
-0.02651328220963478,
0.038452666252851486,
-0.011528326198458672,
0.03359470143914223,
-0.038490038365125656,
0.014405736699700356,
-0.04368432238698006,
0.05074705928564072,
0.017526045441627502,
-0.020889252424240112,
0.006399435922503471,
0.059528764337301254,
0.007562544662505388,
0.036752380430698395,
0.0790727362036705,
0.01478876918554306,
0.030119387432932854,
-0.08445386588573456,
-0.01668524369597435,
-0.03380023315548897,
-0.022197166457772255,
0.042750097811222076,
0.010678182356059551,
0.015526806004345417,
0.012285048142075539,
-0.003454294055700302,
0.013947967439889908,
-0.02328086644411087,
-0.023299550637602806,
0.052839718759059906,
-0.05201760306954384,
-0.042413778603076935,
-0.03254837170243263,
-0.0017189724603667855,
0.058370329439640045,
-0.03193178400397301,
0.005283037666231394,
0.02903568744659424,
-0.0008501440170221031,
0.12100071460008621,
-0.05085916444659233,
0.009449677541851997,
-0.009650535881519318,
-0.024906417354941368,
-0.02344902791082859,
-0.028923580422997475,
-0.0034472872503101826,
-0.04207745939493179,
-0.02647591382265091,
0.021038729697465897,
0.0357060469686985,
0.05418500304222107,
-0.004351149313151836,
0.005091521888971329,
-0.030025966465473175,
0.04970072582364082,
0.004834610037505627,
-0.01017370168119669,
0.014508501626551151,
0.07869904488325119,
0.01598457619547844,
0.06703992933034897,
-0.02204769104719162,
-0.06782467663288116,
-0.02144978754222393,
0.06845995038747787,
-0.023785347118973732,
0.054371848702430725,
0.008431373164057732,
0.030380969867110252,
-0.06509674340486526,
-0.03408049792051315,
-0.03860214352607727,
-0.01008962094783783,
0.034883931279182434,
0.0027793170884251595,
0.01825474016368389,
0.01272413320839405,
-0.007856825366616249,
-0.011481615714728832,
-0.04865439608693123,
0.006039759609848261,
0.03953636810183525,
0.0077680740505456924,
0.06449884176254272,
0.014938244596123695,
0.014302972704172134,
0.004792570136487484,
-0.021674001589417458,
0.017927762120962143,
0.0181146077811718,
-0.001784368185326457,
-0.0016664223512634635,
-0.007445767056196928,
0.05325077846646309,
0.009468362666666508,
-0.0656946450471878,
-0.01664787530899048,
-0.04035848379135132,
0.038303192704916,
-0.054670799523591995,
-0.014228234067559242,
0.016199447214603424,
0.02860594540834427,
-0.030268864706158638,
0.008295910432934761,
0.030679922550916672,
-0.012817556038498878,
-0.0335012786090374,
-0.00377660128287971,
-0.06984259933233261,
-0.024196406826376915,
0.01815197616815567,
-0.03224942088127136,
0.029932543635368347,
0.006922601256519556,
0.03684580326080322,
-0.013583620078861713,
0.038153715431690216,
0.0033935694955289364,
0.021431103348731995,
0.02744750678539276,
-0.020104505121707916,
-0.0024453317746520042,
-0.01689077354967594,
-0.011780567467212677,
-0.01589115336537361,
-0.03327706456184387,
0.026756180450320244,
-0.0327165313065052,
0.012014122679829597,
-0.05642713978886604,
0.007595242466777563,
0.011902016587555408,
-0.01578838936984539,
-0.007637282833456993,
0.06248091533780098,
-0.029054371640086174,
0.008823747746646404,
0.001679267967119813,
-0.006249960046261549,
-0.011584379710257053,
-0.04656173288822174,
-0.03710738569498062,
-0.0005868095904588699,
0.0020342732314020395,
-0.01530259195715189,
0.004577698651701212,
0.044842761009931564,
0.01781565509736538,
0.014022705145180225,
0.05384868383407593,
0.05762294679880142,
-0.007011352572590113,
-0.00501211266964674,
0.03593026101589203,
0.002398620592430234,
0.031389933079481125,
-0.02255217172205448,
-0.012574657797813416,
0.03763055056333542,
0.010771605186164379,
0.0305117629468441,
-0.01378914900124073,
-0.05676346272230148,
0.06722677499055862,
-0.00009495513222645968,
-0.05807137489318848,
-0.051606543362140656,
-0.018226714804768562,
-0.0084407152608037,
0.025186683982610703,
-0.0015765032730996609,
-0.02387876994907856,
0.019030146300792694,
0.006506871432065964,
-0.019338440150022507,
0.0963371992111206,
0.051569174975156784,
0.057436104863882065,
-0.028419099748134613,
-0.05511922761797905,
0.026886971667408943,
-0.004699147772043943,
-0.021898215636610985,
0.04013426974415779,
0.08834023773670197,
-0.03380023315548897,
0.026457229629158974,
-0.03243626281619072,
0.031950466334819794,
-0.025728534907102585,
0.030717290937900543,
-0.002211775863543153,
0.0034215960185974836,
0.019338440150022507,
0.054072897881269455,
0.013284668326377869,
0.01272413320839405,
-0.0008764190715737641,
-0.016367608681321144,
-0.03665895760059357,
0.01387322973459959,
-0.0486917644739151,
0.021561894565820694,
-0.051942866295576096,
0.03976058214902878,
0.005184944253414869,
0.04499223828315735,
0.016778666526079178,
-0.03774265572428703,
0.008875129744410515,
-0.0003386562748346478,
0.028568575158715248,
0.04461854696273804,
-0.05029863119125366,
-0.033127591013908386,
-0.02634512260556221,
-0.051868125796318054,
0.0077867587096989155,
0.012144914828240871,
-0.012163599021732807,
-0.01293900515884161,
-0.042974311858415604,
0.05575450137257576,
0.04162903130054474,
-0.03574341908097267,
0.029484115540981293,
-0.01818934455513954,
0.017096303403377533,
-0.022122429683804512,
-0.04342273995280266,
0.017301831394433975,
0.047271743416786194,
0.01604997180402279,
-0.050634950399398804,
0.0090573038905859,
0.04065743833780289,
-0.04872913286089897,
-0.0231127068400383,
0.0516812838613987,
0.016292870044708252,
-0.06924469769001007,
-0.06012666970491409,
0.006894574500620365,
0.009132041595876217,
-0.0041713109239935875,
-0.014302972704172134,
0.03490261733531952,
-0.03269784525036812,
-0.024588780477643013,
0.020833199843764305,
-0.05022389441728592,
0.001278719399124384,
-0.08542545884847641,
-0.03180099278688431,
0.021337680518627167,
0.08026853948831558,
0.01945054717361927,
0.012836240231990814,
-0.043348003178834915,
0.009267504326999187,
-0.050335999578237534,
-0.009837380610406399,
-0.0018170661060139537,
-0.03826582431793213,
0.01978686824440956,
-0.0031623488757759333,
-0.013929282315075397,
-0.0013499539345502853,
-0.014695346355438232,
-0.020029766485095024,
0.005432513542473316,
-0.009314214810729027,
0.03469708561897278,
0.014742057770490646,
-0.020758461207151413,
0.03834056109189987,
-0.026270383968949318,
0.0010083782253786922,
0.00112165289465338,
0.015143774449825287,
-0.045216452330350876,
0.04469328373670578,
0.048243336379528046,
-0.01027646567672491,
0.04663647338747978,
0.010098963975906372,
0.009669220075011253,
0.051606543362140656,
0.018796591088175774,
-0.04786964878439903,
-0.08094118535518646,
-0.007511162664741278,
-0.016507741063833237,
0.038415297865867615,
0.009090001694858074,
0.020235296338796616,
0.08183804154396057,
-0.04753332585096359,
0.01898343488574028,
-0.012742818333208561,
0.03656553477048874,
-0.009388953447341919,
0.025093261152505875,
-0.0016056977910920978,
0.006759112235158682,
-0.0016886101802811027,
-0.024738255888223648,
0.04450644180178642,
0.008337951265275478,
-0.007469122298061848,
-0.04200271889567375,
-0.037051331251859665,
0.015283907763659954,
0.015638912096619606,
0.0016056977910920978,
-0.05941665917634964,
-0.009262832812964916,
0.0531013049185276,
-0.04659910127520561,
-0.021860845386981964,
0.02357981912791729,
-0.033389173448085785,
-0.059902455657720566,
0.017105644568800926,
0.00676845433190465,
0.06715203821659088,
0.03621052950620651,
-0.049140192568302155,
0.03664027154445648,
-0.025429582223296165,
0.0037695947103202343,
-0.017143014818429947,
0.00607712846249342,
-0.030885452404618263,
-0.031389933079481125,
-0.05029863119125366,
0.061546690762043,
-0.08295910805463791,
-0.00419700238853693,
0.03200652077794075,
0.019730815663933754,
-0.032025206834077835,
-0.012443866580724716,
0.02357981912791729,
0.00018071399244945496,
0.00024260634381789714,
-0.00601173285394907,
0.008211830630898476,
-0.0642746239900589,
0.007132801692932844,
0.044880129396915436,
-0.003947097342461348,
-0.007006681524217129,
0.013265983201563358,
-0.05911770835518837,
-0.037182122468948364,
-0.007016023620963097,
-0.017143014818429947,
0.0033772203605622053,
0.05945402756333351,
-0.009996199049055576,
-0.020571617409586906,
-0.01272413320839405,
-0.016227474436163902,
0.026064854115247726,
-0.0094450069591403,
-0.032492317259311676,
-0.04133007675409317,
-0.002156889997422695,
-0.04555277153849602,
-0.044207487255334854,
0.03426734358072281,
-0.009430993348360062,
-0.04955125227570534,
0.07298159599304199,
0.036154475063085556,
-0.015227854251861572,
0.0034169249702244997,
0.0043044378980994225,
-0.016395634040236473,
0.004225029144436121,
0.048504918813705444,
0.013200587593019009,
-0.0254482664167881,
-0.052503399550914764,
-0.043908536434173584,
0.0492149293422699,
0.0011409212602302432,
-0.03983531892299652,
0.003258106764405966,
-0.003255771240219474,
0.026662757620215416,
0.04745858907699585,
-0.0006095813005231321,
-0.03252968564629555,
-0.036789748817682266,
0.030418340116739273,
0.02141241915524006,
-0.01445244811475277,
-0.0038443326484411955,
-0.04936440661549568,
-0.02447667345404625,
0.013209929689764977,
-0.0094450069591403,
0.020963991060853004,
0.023336920887231827,
0.026700127869844437,
-0.01948791742324829,
-0.0153212770819664,
0.038788989186286926,
0.02843778394162655,
-0.009650535881519318,
-0.030418340116739273,
-0.019067516550421715,
-0.011033187620341778,
-0.0023320571053773165,
-0.004526316188275814,
-0.02477562613785267,
-0.025765903294086456,
-0.03916267678141594,
-0.042114827781915665,
-0.011528326198458672,
-0.016134051606059074,
-0.03837792947888374,
-0.04312378913164139,
0.01935712620615959,
0.015405356884002686,
-0.04536592587828636,
0.04686068370938301,
0.02647591382265091,
-0.017862366512417793,
0.008225844241678715,
-0.04032111540436745,
0.035388413816690445,
-0.001546140993013978,
0.018469613045454025,
-0.07772745192050934,
-0.009949487634003162,
0.009828038513660431,
0.019394494593143463,
0.025560373440384865,
0.000851895660161972,
0.0031296510715037584,
0.0066096363589167595,
0.0007065070676617324,
-0.003984466195106506,
0.019301071763038635,
0.015564175322651863,
-0.0292785856872797,
0.01134148146957159,
-0.04136744886636734,
0.05515659600496292,
-0.10784684121608734,
0.01036054641008377,
0.05631503462791443,
0.03434208035469055,
0.004056868609040976,
0.007655967492610216,
0.0017376570031046867,
0.030231494456529617,
0.030418340116739273,
0.0035290319938212633,
-0.031987834721803665,
0.0034402806777507067,
-0.00395410368219018,
0.021767424419522285,
0.012770844623446465,
-0.026718812063336372,
-0.029801752418279648,
0.07010418176651001,
-0.012836240231990814,
-0.006973983719944954,
-0.01334072183817625,
0.05104601010680199,
0.06969312578439713,
-0.05795926973223686,
0.01634892262518406,
0.008239857852458954,
-0.022327957674860954,
0.009678563103079796,
0.010790289379656315,
0.001999239670112729,
-0.006997339427471161,
-0.005030797328799963,
-0.012602684088051319,
-0.047944385558366776,
-0.008384661749005318,
-0.03606105223298073,
0.015993917360901833,
-0.05205497145652771,
-0.010080278851091862,
-0.03209994360804558,
-0.005226984154433012,
-0.0229819156229496,
-0.02498115412890911,
0.02950279973447323,
0.008987236768007278,
-0.003923741634935141,
0.008188474923372269,
-0.0385647751390934,
0.012257021851837635,
-0.006987996865063906,
-0.04248851537704468,
0.04192798212170601,
0.028736736625432968,
-0.012481234967708588,
0.0078101144172251225,
0.016199447214603424,
0.004554342944175005,
0.0003027470374945551,
0.0010801967000588775,
0.02144978754222393,
-0.022122429683804512,
-0.012967031449079514,
0.03520156815648079,
-0.019600024446845055,
-0.019637392833828926,
-0.04196535050868988,
0.01655445247888565,
-0.0015286243287846446,
-0.04461854696273804,
0.0019793875981122255,
-0.10388573259115219,
0.01525588147342205,
0.005768834613263607,
0.017161699011921883,
0.02604616992175579,
-0.04312378913164139,
-0.0127895288169384,
0.04529118910431862,
-0.007730705197900534,
0.06225670129060745,
0.015779046341776848,
0.043011680245399475,
0.006787138991057873,
0.028830159455537796,
0.031165719032287598,
0.011126610450446606,
0.0077820876613259315,
-0.04443170130252838,
0.027821196243166924,
0.002555103274062276,
-0.00452865194529295,
-0.0680488869547844,
0.025037208572030067,
0.008239857852458954,
0.013695727102458477,
0.015199827961623669,
0.00040697140502743423,
-0.028830159455537796,
0.04775753989815712,
0.009865407831966877,
-0.004449242725968361,
0.006698387674987316,
-0.0058482433669269085,
-0.028400415554642677,
-0.016563795506954193,
-0.011761882342398167,
-0.04043322429060936,
-0.02787725068628788,
-0.011313455179333687,
-0.030119387432932854,
0.09700983762741089,
-0.024233775213360786,
-0.010939765721559525,
0.030623869970440865,
-0.0021195211447775364,
0.020496878772974014,
-0.01764749549329281,
0.06573201715946198,
-0.0070674060843884945,
0.04095638915896416,
-0.0013406117213889956,
0.006226604338735342,
0.0011835453333333135,
0.004984085913747549,
0.07126262038946152,
0.047309111803770065,
-0.01751670427620411,
0.03516419976949692,
0.04446907341480255,
0.021431103348731995,
0.0007082587108016014,
-0.01195807009935379,
-0.01478876918554306,
0.010267123579978943,
0.029558854177594185,
-0.03170756995677948,
-0.035388413816690445,
0.0019817231222987175,
0.07343002408742905,
-0.05825822055339813,
-0.008249199949204922,
0.02860594540834427,
0.04588909074664116,
0.03335180506110191,
0.03591157868504524,
0.0007100104121491313,
-0.01015501655638218,
-0.08034328371286392,
-0.023729294538497925,
0.07174842059612274,
-0.0034449517261236906,
-0.018843302503228188,
0.007838141173124313,
0.053998157382011414,
-0.018030526116490364,
-0.025765903294086456,
-0.044880129396915436,
-0.022589540109038353,
0.0035126828588545322,
0.002690565772354603,
-0.011444246396422386,
0.003253435716032982,
-0.005516593810170889,
0.02797067165374756,
-0.008912499062716961,
0.016040628775954247,
0.02387876994907856,
-0.008566835895180702,
0.02570985071361065,
0.0056287008337676525,
0.03238021209836006,
-0.04144218564033508,
-0.05325077846646309,
-0.03178230673074722,
0.012649395503103733,
0.018432242795825005,
-0.013667699880897999,
0.0016337245469912887,
-0.002798001514747739,
0.037985555827617645,
-0.021132150664925575,
0.0338936522603035,
0.01608734019100666,
-0.02524273842573166,
0.011378850787878036,
-0.04473065584897995,
-0.01202346570789814,
-0.007651295978575945,
-0.04985020309686661,
0.02774645946919918,
0.05627766624093056,
-0.004122264217585325,
-0.0588187538087368,
0.007950248196721077,
-0.02574721910059452,
0.020627669990062714,
-0.0017423281678929925,
0.0000479154841741547,
-0.008333279751241207,
-0.009902776218950748,
-0.01004291046410799,
0.03953636810183525,
0.0075251758098602295,
0.01842290163040161,
-0.009884092025458813,
0.008487426675856113,
0.03680843487381935,
0.012499920092523098,
-0.03837792947888374,
0.01595654897391796,
-0.0434974767267704,
0.017124328762292862,
-0.03094150498509407,
0.043049052357673645,
-0.004052197560667992,
0.008823747746646404,
0.005091521888971329,
0.021599262952804565,
0.030287548899650574,
-0.018693825230002403,
-0.03523893654346466,
0.004533322993665934,
0.033688124269247055,
0.02094530686736107,
-0.020459510385990143,
-0.02821356989443302,
0.008365977555513382,
0.009015263058245182,
0.041853245347738266,
-0.03669632598757744,
-0.04872913286089897,
0.02570985071361065,
0.0028283637948334217,
-0.034323398023843765,
0.02498115412890911,
0.03647211194038391,
0.0188900139182806,
0.0434974767267704,
-0.023299550637602806,
0.005348433740437031,
0.02830699272453785,
0.011163978837430477,
-0.039611104875802994,
0.011836620979011059,
-0.011257401667535305,
-0.04207745939493179,
-0.02821356989443302,
0.043609585613012314,
0.04592646285891533,
-0.037312913686037064,
0.017143014818429947,
0.002051789779216051,
-0.0065675959922373295,
-0.005717452149838209,
-0.018030526116490364,
0.007964260876178741,
-0.06662886589765549,
0.036752380430698395,
0.011462930589914322,
0.02158057875931263,
-0.03314627334475517,
0.0034402806777507067,
0.030679922550916672,
-0.05564239248633385,
0.012527946382761002,
0.020907936617732048,
0.008253870531916618,
0.011266743764281273,
0.012752160429954529,
-0.0035547229927033186,
0.019170280545949936,
0.01300440076738596,
-0.0015986911021173,
-0.007357015740126371,
-0.06969312578439713,
-0.020590301603078842,
0.004278746899217367,
-0.0035453808959573507,
0.025392213836312294,
0.026270383968949318,
-0.022122429683804512,
-0.04312378913164139,
-0.012882951647043228,
0.013350063934922218,
-0.025990117341279984,
0.034155234694480896,
-0.015246538445353508,
0.004960730671882629,
0.014620608650147915,
-0.016591820865869522,
-0.011715170927345753,
-0.007081419229507446,
-0.029465431347489357,
0.024999840185046196,
-0.02414035238325596,
0.015442726202309132,
-0.009603824466466904,
-0.018833959475159645,
-0.009781327098608017,
-0.017628811299800873,
-0.006534898187965155,
-0.043945904821157455,
0.04140481725335121,
0.02171136997640133,
-0.0049140192568302155,
-0.004965401720255613,
0.014695346355438232,
-0.05074705928564072,
0.0037649234291166067,
-0.024831678718328476,
-0.017796970903873444,
0.03852740675210953,
0.0030946177430450916,
0.029988596215844154,
-0.021898215636610985,
0.04398327320814133,
-0.000878754653967917,
-0.0077820876613259315,
-0.03426734358072281,
0.012845582328736782,
-0.048878610134124756,
0.006390093360096216,
-0.005778176710009575,
-0.007698007393628359,
0.03406181558966637,
0.046486996114254,
0.01551746390759945,
-0.03495866805315018,
0.037518445402383804,
-0.0030011951457709074,
-0.0002871279721148312,
-0.01195807009935379,
0.045478034764528275,
-0.00277231028303504,
0.023766662925481796,
0.039087940007448196,
0.010229755192995071,
0.0024897074326872826,
0.015564175322651863,
-0.01015501655638218,
0.037350282073020935,
-0.035425782203674316,
-0.01971212960779667,
-0.03477182611823082,
-0.022888492792844772,
-0.018329478800296783,
-0.006717071868479252,
0.025859326124191284,
0.03579946979880333,
0.030362285673618317,
-0.007095432840287685,
0.034622348845005035,
-0.03490261733531952,
0.023523764684796333,
-0.005259682424366474,
0.014686004258692265,
0.025859326124191284,
-0.030063334852457047,
-0.0001227628963533789,
-0.027821196243166924,
0.07346738874912262,
-0.03546315059065819,
-0.05567976087331772,
0.0011829613940790296,
0.014695346355438232,
-0.04069480672478676,
0.012453208677470684,
0.021561894565820694,
0.006558253895491362,
-0.0434974767267704,
0.030100703239440918,
-0.004759872332215309,
-0.042451146990060806,
0.03353864699602127,
-0.03680843487381935,
0.024028245359659195,
0.0017107980092987418,
0.0009429825586266816,
-0.030362285673618317,
-0.012144914828240871,
0.01815197616815567,
-0.06005193293094635,
0.013284668326377869,
-0.04226430132985115,
0.032492317259311676,
-0.03664027154445648,
-0.008356635458767414,
-0.006572267040610313,
0.01306979637593031,
-0.014545870944857597,
0.024102983996272087,
-0.034323398023843765,
-0.010668840259313583,
0.0016909458208829165,
-0.008889143355190754,
-0.015209170058369637,
-0.007464451249688864,
0.04559013992547989,
-0.015274565666913986,
0.03714475408196449,
-0.0006545408396050334,
0.012518604286015034,
-0.009603824466466904,
0.010827658697962761,
0.03159546107053757,
-0.00995882973074913,
0.011126610450446606,
0.008781707845628262,
0.01632089726626873,
-0.017656836658716202,
-0.023206129670143127,
-0.0003620118659455329,
0.04263799265027046,
0.013051112182438374,
-0.0566139854490757,
-0.0016115367179736495,
0.015442726202309132,
-0.0032861335203051567,
0.002982510719448328,
0.030717290937900543,
-0.038303192704916,
-0.015265223570168018,
0.023355605080723763,
-0.0023811038117855787,
0.04555277153849602,
0.018805932253599167,
-0.020907936617732048,
0.027522245422005653,
0.002082152059301734,
0.016834719106554985,
-0.030156757682561874,
-0.02072109282016754,
-0.028531206771731377,
-0.020758461207151413,
-0.004453913774341345,
-0.042712729424238205,
-0.038153715431690216,
-0.024196406826376915,
-0.006119168363511562,
-0.010678182356059551,
-0.06393830478191376,
0.01575101912021637,
-0.007160828448832035,
0.011332139372825623,
-0.0694689080119133,
-0.023523764684796333,
0.0068525345996022224,
-0.02191689983010292,
0.054072897881269455,
0.022963231429457664,
-0.023804033175110817,
0.0021650646813213825,
0.019992398098111153,
-0.01988029107451439,
0.02204769104719162,
0.010930422693490982,
0.03834056109189987,
-0.03893846273422241,
0.007002010475844145,
-0.02460746467113495,
0.026830919086933136,
-0.021132150664925575,
-0.0020132530480623245,
-0.013350063934922218,
-0.04439433291554451,
-0.014732715673744678,
0.01704959198832512,
-0.06311618536710739,
0.03733159974217415,
0.0035523874685168266,
-0.048542290925979614,
0.02838173136115074,
0.015442726202309132,
-0.010248439386487007,
0.02864331379532814,
0.01901146210730076,
0.009216121397912502,
-0.014742057770490646,
0.004643094260245562,
0.023000599816441536,
0.0090573038905859,
0.05369920656085014,
0.042712729424238205,
-0.02098267525434494,
-0.025784587487578392,
0.03124045766890049,
-0.00004835340223507956,
-0.020608985796570778,
-0.01080897357314825,
0.03604236990213394,
-0.04289957508444786,
-0.07032839953899384,
-0.020067134872078896,
0.043646953999996185,
0.020833199843764305,
-0.0327165313065052,
0.00832393765449524,
0.01861908845603466,
-0.018133291974663734,
-0.027055133134126663
] |
All data on the Internet are transferred by network traffic, thus accurately
modeling network traffic can help improve network services quality and protect
data privacy. Pretrained models for network traffic can utilize large-scale raw
data to learn the essential characteristics of network traffic, and generate
distinguishable results for input traffic without considering specific
downstream tasks. Effective pretrained models can significantly optimize the
training efficiency and effectiveness of downstream tasks, such as application
classification, attack detection and traffic generation. Despite the great
success of pretraining in natural language processing, there is no work in the
network field. Considering the diverse demands and characteristics of network
traffic and network tasks, it is non-trivial to build a pretrained model for
network traffic and we face various challenges, especially the heterogeneous
headers and payloads in the multi-pattern network traffic and the different
dependencies for contexts of diverse downstream network tasks.
To tackle these challenges, in this paper, we make the first attempt to
provide a generative pretrained model NetGPT for both traffic understanding and
generation tasks. We propose the multi-pattern network traffic modeling to
construct unified text inputs and support both traffic understanding and
generation tasks. We further optimize the adaptation effect of the pretrained
model to diversified tasks by shuffling header fields, segmenting packets in
flows, and incorporating diverse task labels with prompts. With diverse traffic
datasets from encrypted software, DNS, private industrial protocols and
cryptocurrency mining, expensive experiments demonstrate the effectiveness of
our NetGPT in a range of traffic understanding and generation tasks on traffic
datasets, and outperform state-of-the-art baselines by a wide margin. | [
-0.04076041653752327,
-0.034581493586301804,
-0.019492628052830696,
-0.009780451655387878,
0.05004587396979332,
-0.042023513466119766,
-0.04492521658539772,
0.017546778544783592,
-0.05939960479736328,
-0.008798993192613125,
0.04151144623756409,
-0.026268962770700455,
0.005777806043624878,
-0.06431543081998825,
-0.015387569554150105,
0.004907294642180204,
0.002287226030603051,
-0.0460858978331089,
-0.01638609729707241,
-0.017615053802728653,
0.041886962950229645,
0.000029153730793041177,
-0.04267212748527527,
-0.016164202243089676,
0.013646546751260757,
0.028453774750232697,
0.028692739084362984,
0.022479677572846413,
-0.06438370794057846,
0.03898525610566139,
-0.011581216007471085,
0.027378438040614128,
0.0019490495324134827,
-0.03084341436624527,
-0.047656234353780746,
-0.03686871752142906,
0.0316627211868763,
0.07687810808420181,
-0.01068510115146637,
-0.013211291283369064,
0.03282340243458748,
-0.016488511115312576,
0.000861976994201541,
-0.034649766981601715,
0.018826942890882492,
-0.020107107236981392,
0.018007637932896614,
-0.04205764830112457,
0.00783460307866335,
-0.033506155014038086,
-0.0006086112116463482,
-0.04332074522972107,
0.01266508735716343,
0.014918176457285881,
-0.041374895721673965,
0.04612003639340401,
0.04960208386182785,
0.0005931425839662552,
0.07940429449081421,
-0.0052444045431911945,
-0.012195694260299206,
0.010830186307430267,
-0.025961723178625107,
-0.023640358820557594,
0.030246004462242126,
0.05356205627322197,
-0.032106511294841766,
-0.01452559232711792,
0.0415797233581543,
-0.013740424998104572,
-0.06131131574511528,
0.020431416109204292,
-0.02022658847272396,
0.024613283574581146,
0.027924640104174614,
-0.017299281433224678,
0.06155027821660042,
0.01513153687119484,
0.04523245617747307,
0.034530285745859146,
-0.02469862811267376,
0.045846935361623764,
0.020431416109204292,
0.009225714020431042,
0.06646610796451569,
-0.00068222067784518,
-0.005316947121173143,
-0.05424480885267258,
0.05229895934462547,
-0.009908468462526798,
0.013783097267150879,
0.04004352539777756,
-0.03217478469014168,
-0.03430839255452156,
-0.0070494357496500015,
0.032669782638549805,
0.016241012141108513,
-0.030809277668595314,
-0.031201859936118126,
0.0345473550260067,
-0.017956431955099106,
0.0066397832706570625,
0.011043546721339226,
0.008376538753509521,
0.014431714080274105,
-0.04772450774908066,
0.005282809492200613,
0.03282340243458748,
-0.00054353621089831,
0.07817533612251282,
0.02840256877243519,
-0.011973799206316471,
0.017700398340821266,
0.02597879245877266,
-0.010232776403427124,
0.025296038016676903,
-0.050148285925388336,
-0.07032366842031479,
0.04355970770120621,
0.007373743690550327,
0.015746016055345535,
0.013390514068305492,
-0.028385499492287636,
0.00130470038857311,
-0.039121806621551514,
0.06885574758052826,
-0.006908617448061705,
0.014312231913208961,
-0.01804177649319172,
-0.030348418280482292,
0.009234248660504818,
0.03929249569773674,
0.02355501428246498,
-0.014192749746143818,
0.05113827809691429,
-0.010727773420512676,
0.007979688234627247,
-0.006178924348205328,
-0.025842241942882538,
-0.061208900064229965,
0.02085813693702221,
-0.018587978556752205,
0.017836950719356537,
-0.05277688801288605,
0.031782202422618866,
0.029972903430461884,
0.0017442232929170132,
0.07203055173158646,
-0.00908916350454092,
0.01811005175113678,
-0.024664489552378654,
0.08868975192308426,
0.020585034042596817,
0.00008981149585451931,
-0.010744841769337654,
-0.0006870212964713573,
-0.001863705227151513,
-0.013330773450434208,
-0.002963579259812832,
-0.014781625010073185,
0.0192024577409029,
-0.023128293454647064,
0.013783097267150879,
0.03622010350227356,
0.04280867800116539,
0.05789754539728165,
0.08213531225919724,
-0.0024003072176128626,
-0.035161834210157394,
0.02137020230293274,
0.010377861559391022,
0.0348716638982296,
0.00006607512477785349,
0.029392562806606293,
-0.004194670356810093,
0.01976572908461094,
-0.011700697243213654,
-0.0005061981501057744,
0.003723143134266138,
0.04441315308213234,
-0.010292517021298409,
0.014252491295337677,
0.012195694260299206,
0.0005278008757159114,
0.0004955300828441978,
0.056668587028980255,
0.05393756926059723,
-0.010002346709370613,
0.01738462597131729,
-0.013859907165169716,
-0.00039765090332366526,
0.025313107296824455,
-0.0019970557186752558,
-0.04448142647743225,
0.026729822158813477,
-0.005846081767231226,
-0.03758561238646507,
-0.023384327068924904,
-0.03186754509806633,
0.02316243201494217,
-0.042911093682050705,
0.01645437255501747,
0.03287460654973984,
-0.0062386654317379,
0.001031065359711647,
0.01116302888840437,
-0.03628837689757347,
0.07585397362709045,
-0.013800166547298431,
-0.054688598960638046,
-0.034274253994226456,
-0.09462971240282059,
-0.039326634258031845,
0.007168917451053858,
-0.023008812218904495,
-0.0364590659737587,
-0.010104760527610779,
-0.0022402866743505,
-0.0026392710860818624,
-0.007719388231635094,
-0.0012246901169419289,
0.057180654257535934,
0.025893447920680046,
0.01103501208126545,
-0.06766092777252197,
-0.08554908633232117,
0.011530009098351002,
0.02981928363442421,
-0.04171627387404442,
0.03806353732943535,
-0.012212763540446758,
0.024937592446804047,
-0.0015212614089250565,
-0.027736883610486984,
0.021967612206935883,
-0.035605624318122864,
-0.006737929303199053,
-0.0013495060848072171,
-0.014909641817212105,
0.004557383246719837,
-0.006703791208565235,
-0.018895218148827553,
-0.040999382734298706,
-0.05363032966852188,
-0.0014903240371495485,
-0.01536196656525135,
-0.04506176710128784,
0.03352322429418564,
-0.028743945062160492,
-0.0022402866743505,
-0.04260385408997536,
0.031048240140080452,
0.012340779416263103,
0.019748661667108536,
-0.027890503406524658,
-0.0061405193991959095,
0.018349016085267067,
-0.01932193897664547,
-0.005671125836670399,
-0.01731635071337223,
0.029477907344698906,
0.021131237968802452,
-0.027566194534301758,
0.07783396542072296,
-0.02509121224284172,
0.02872687764465809,
0.03761974722146988,
0.0214384775608778,
0.011461733840405941,
0.032413747161626816,
0.0026670079678297043,
-0.009797520935535431,
-0.03282340243458748,
0.02432311326265335,
-0.02387932315468788,
-0.026456719264388084,
0.028573257848620415,
-0.0473489947617054,
0.021353133022785187,
0.0492948442697525,
-0.026354307308793068,
-0.04168213531374931,
-0.004907294642180204,
-0.003211077768355608,
-0.09913589060306549,
-0.07216710597276688,
-0.023657428100705147,
-0.024084148928523064,
-0.06663679331541061,
0.01654825173318386,
-0.03265271335840225,
0.030228935182094574,
-0.01817832700908184,
0.03717595711350441,
0.02309415675699711,
0.01455972995609045,
0.013313704170286655,
0.019236596301198006,
0.07995050400495529,
0.003945038188248873,
-0.059297189116477966,
-0.015746016055345535,
0.013108878396451473,
0.045403145253658295,
-0.05714651569724083,
0.00583754712715745,
-0.012212763540446758,
0.016300752758979797,
-0.0017058183439075947,
-0.003136401530355215,
-0.012229831889271736,
-0.023008812218904495,
-0.04140903428196907,
-0.011214235797524452,
-0.030177729204297066,
0.03615182638168335,
-0.000908382935449481,
0.0022189507726579905,
-0.04844139888882637,
-0.04550555720925331,
0.025825172662734985,
-0.025705689564347267,
-0.0492948442697525,
0.03321598470211029,
0.016309287399053574,
-0.001892508938908577,
0.025739828124642372,
0.06923126429319382,
0.005462032277137041,
0.011658025905489922,
-0.038234226405620575,
-0.029665663838386536,
-0.05448377504944801,
-0.006277069915086031,
0.013970854692161083,
0.019680386409163475,
-0.05332309380173683,
0.02942669950425625,
-0.03162858262658119,
-0.002481384202837944,
0.002451513893902302,
-0.0204826220870018,
-0.03826836496591568,
0.023145362734794617,
0.007211589720100164,
-0.03615182638168335,
-0.03103117272257805,
0.047963473945856094,
-0.05025069788098335,
0.04516418278217316,
0.0009745247662067413,
0.017256608232855797,
0.010164501145482063,
-0.01234931405633688,
0.048543814569711685,
0.005709530785679817,
0.0026904777623713017,
-0.042842816561460495,
0.019048837944865227,
-0.008978215977549553,
0.012110349722206593,
-0.0050779832527041435,
-0.007373743690550327,
0.030536174774169922,
-0.07394226640462875,
0.02304294891655445,
-0.03449614718556404,
-0.05421067401766777,
-0.018263671547174454,
0.00850882288068533,
-0.015498517081141472,
0.057692717760801315,
-0.031969957053661346,
0.002846230985596776,
-0.003727410454303026,
0.0072030555456876755,
-0.013032068498432636,
0.008265591226518154,
-0.030536174774169922,
0.03700527176260948,
-0.00949881598353386,
0.004437901545315981,
0.04076041653752327,
-0.013842838816344738,
-0.012135953642427921,
0.05243551358580589,
0.026729822158813477,
-0.026217756792902946,
-0.024101218208670616,
0.024562077596783638,
0.009618298150599003,
-0.06796816736459732,
-0.0326356440782547,
-0.034393735229969025,
0.005291344132274389,
0.02693464793264866,
-0.025005867704749107,
-0.03761974722146988,
0.0543813593685627,
-0.027788089588284492,
-0.060833387076854706,
-0.006507499609142542,
-0.015660671517252922,
0.012502933852374554,
-0.04216006398200989,
-0.007514561992138624,
-0.0026115342043340206,
-0.012076212093234062,
0.021097101271152496,
-0.04652968794107437,
0.00902088824659586,
-0.002178412163630128,
-0.03289167582988739,
0.015720412135124207,
0.03751733526587486,
0.008675243705511093,
-0.09203524887561798,
0.007574303075671196,
-0.004907294642180204,
0.01139345858246088,
-0.008534425869584084,
0.032277196645736694,
0.040726277977228165,
0.009550021961331367,
-0.04885105416178703,
0.006392284762114286,
0.03214064612984657,
0.03456442430615425,
0.011973799206316471,
-0.01222129724919796,
0.07858499139547348,
-0.031782202422618866,
0.03608355298638344,
-0.059809256345033646,
-0.01132518332451582,
-0.028641533106565475,
-0.007117711007595062,
-0.01804177649319172,
-0.031833406537771225,
-0.004775010980665684,
-0.032106511294841766,
-0.027873434126377106,
0.013271031901240349,
-0.0068147387355566025,
-0.016462907195091248,
0.031048240140080452,
-0.050455525517463684,
-0.03693699464201927,
-0.01653118245303631,
-0.052128273993730545,
-0.03884870558977127,
0.05639548599720001,
-0.07558087259531021,
-0.017888156697154045,
0.019612111151218414,
-0.023128293454647064,
0.011410526931285858,
-0.0217627864331007,
0.060116495937108994,
0.0005422027315944433,
0.010633894242346287,
0.02411828748881817,
-0.03512769564986229,
-0.04772450774908066,
-0.02251381427049637,
-0.02118244394659996,
-0.05335722863674164,
-0.05267447605729103,
0.008474684320390224,
0.01059122197329998,
0.011572681367397308,
-0.023008812218904495,
0.0027758220676332712,
0.05803409591317177,
0.030758069828152657,
0.009874330833554268,
-0.024408457800745964,
-0.051991719752550125,
-0.017871087417006493,
-0.050387248396873474,
-0.002102669095620513,
-0.0028398302383720875,
0.02251381427049637,
-0.05076276510953903,
-0.010778979398310184,
0.04253557696938515,
0.025961723178625107,
-0.01887814886868,
0.025449657812714577,
-0.06441784650087357,
-0.014022061601281166,
-0.028453774750232697,
0.007766327355057001,
-0.03533252328634262,
-0.02509121224284172,
-0.007245727349072695,
-0.0033198916353285313,
0.03922422230243683,
0.04274040460586548,
0.02483517862856388,
-0.039326634258031845,
-0.027890503406524658,
0.015950841829180717,
-0.017768673598766327,
0.011922592297196388,
0.02227485179901123,
0.006861678324639797,
0.05216240882873535,
-0.046871066093444824,
-0.014039129950106144,
-0.037346646189689636,
0.043286606669425964,
-0.02623482421040535,
-0.047519683837890625,
0.03628837689757347,
0.03891698271036148,
-0.0351959727704525,
-0.026661546900868416,
0.012409054674208164,
0.03400115296244621,
-0.000680620432831347,
-0.0027608866803348064,
-0.027805158868432045,
-0.0045019094832241535,
-0.053527917712926865,
0.043935224413871765,
0.027788089588284492,
0.005376688204705715,
-0.004149864427745342,
-0.025500863790512085,
-0.05390343442559242,
0.03898525610566139,
-0.01799056865274906,
-0.0185709111392498,
-0.003347628517076373,
0.0015159273752942681,
-0.0441741868853569,
0.003181207226589322,
-0.028556188568472862,
-0.03587872534990311,
-0.02399880439043045,
0.0018359683454036713,
-0.013919648714363575,
0.009746314026415348,
0.04536900669336319,
0.009771917015314102,
0.008636838756501675,
-0.03461563214659691,
0.006703791208565235,
-0.019680386409163475,
0.007164650596678257,
0.007006763480603695,
0.03476925194263458,
0.03412063419818878,
-0.014337834902107716,
-0.03615182638168335,
-0.017120057716965675,
-0.03980456292629242,
0.01741022802889347,
-0.022803986445069313,
-0.0035055154003202915,
0.04007766395807266,
-0.04168213531374931,
-0.025961723178625107,
0.017068851739168167,
-0.012195694260299206,
0.06841195374727249,
0.0556785948574543,
0.030894620344042778,
0.04717830568552017,
0.018980562686920166,
0.03449614718556404,
-0.0857539102435112,
0.012042074464261532,
0.03384753316640854,
0.010352258570492268,
0.046427275985479355,
-0.039121806621551514,
0.0010214641224592924,
0.00532548176124692,
-0.0021624101791530848,
-0.010429068468511105,
0.0038426253013312817,
0.02099468745291233,
0.01641170121729374,
-0.008376538753509521,
-0.025415519252419472,
-0.034069426357746124,
0.0058076768182218075,
-0.06776334345340729,
0.001829567481763661,
0.016514113172888756,
-0.00010074622696265578,
-0.022223643958568573,
-0.025483794510364532,
-0.04253557696938515,
0.012204228900372982,
0.030877552926540375,
0.04280867800116539,
-0.047519683837890625,
0.03577631339430809,
0.0588875375688076,
0.04816829785704613,
0.00393437035381794,
-0.039190083742141724,
-0.03150910139083862,
0.06953850388526917,
-0.003940770868211985,
-0.008231453597545624,
-0.023264843970537186,
0.01804177649319172,
-0.010531481355428696,
0.06052614748477936,
-0.05277688801288605,
0.038746293634176254,
0.008402141742408276,
0.0291194599121809,
-0.026064136996865273,
-0.03149203211069107,
-0.006720860488712788,
0.052708614617586136,
-0.0211141686886549,
0.03449614718556404,
-0.03070686385035515,
-0.00908916350454092,
0.024562077596783638,
0.007092108018696308,
-0.059740979224443436,
-0.02872687764465809,
-0.03244788572192192,
-0.05537135526537895,
0.0028078260365873575,
-0.03195289149880409,
0.005432161968201399,
0.01677868142724037,
-0.012767501175403595,
-0.019680386409163475,
-0.0016076724277809262,
-0.025057073682546616,
-0.011410526931285858,
-0.005060914438217878,
0.025483794510364532,
-0.04403763636946678,
0.1017303541302681,
-0.002803558949381113,
0.01624954678118229,
-0.027617402374744415,
0.00023869721917435527,
0.013364911079406738,
0.057556167244911194,
0.004856088198721409,
0.005334015935659409,
-0.003757280996069312,
0.03768802434206009,
-0.017632123082876205,
-0.018912287428975105,
0.019356077536940575,
-0.02713947370648384,
-0.015174209140241146,
0.005547376815229654,
0.007787663489580154,
-0.006221596151590347,
-0.02835136279463768,
-0.04625658690929413,
0.05216240882873535,
-0.019748661667108536,
-0.023913461714982986,
-0.013936717063188553,
-0.00563272088766098,
0.042911093682050705,
-0.010966736823320389,
-0.008841665461659431,
-0.040999382734298706,
0.02027779631316662,
0.024084148928523064,
-0.021711578592658043,
0.029136529192328453,
0.057180654257535934,
-0.02251381427049637,
-0.028624463826417923,
-0.00127162947319448,
-0.009430540725588799,
-0.07585397362709045,
0.015123002231121063,
-0.030041178688406944,
0.0038532931357622147,
-0.00048539545969106257,
0.009626831859350204,
-0.028436707332730293,
-0.0018669056007638574,
-0.025842241942882538,
-0.0313725508749485,
-0.00869657937437296,
-0.009456143714487553,
0.038097675889730453,
0.03441080451011658,
0.005235870368778706,
0.03340374305844307,
0.03857560455799103,
-0.004205338191241026,
-0.012110349722206593,
0.006904350593686104,
-0.024408457800745964,
-0.006417888216674328,
-0.009311058558523655,
0.04871450364589691,
0.010872858576476574,
-0.014781625010073185,
-0.03495700657367706,
0.03466683626174927,
-0.004971303045749664,
-0.015959376469254494,
-0.024220699444413185,
0.04243316501379013,
0.03792698681354523,
0.01218715962022543,
0.014380507171154022,
-0.008739251643419266,
-0.009413471445441246,
0.010343723930418491,
-0.0313725508749485,
0.02451087161898613,
0.05400584638118744,
-0.07332778722047806,
-0.047656234353780746,
0.02867566980421543,
-0.03365977481007576,
0.03802940249443054,
-0.018468497321009636,
-0.013356376439332962,
0.031901683658361435,
-0.058648575097322464,
-0.01266508735716343,
0.009575625881552696,
0.029290148988366127,
-0.016258081421256065,
-0.05509825423359871,
0.016838422045111656,
0.0204826220870018,
-0.037414923310279846,
0.05926305055618286,
-0.035298384726047516,
0.0023853720631450415,
-0.005619919393211603,
-0.004000511951744556,
-0.006968358531594276,
-0.03857560455799103,
0.05127482861280441,
0.008798993192613125,
-0.00032350808032788336,
0.029409630224108696,
-0.012622416019439697,
-0.009097698144614697,
0.0029145064763724804,
-0.050080008804798126,
0.047383133322000504,
-0.005816210992634296,
-0.00429494958370924,
0.012195694260299206,
-0.03628837689757347,
0.040419042110443115,
0.015515586361289024,
-0.004949966911226511,
0.02777102217078209,
0.017939362674951553,
-0.03130427375435829,
-0.028300154954195023,
0.032021164894104004,
-0.01381723489612341,
0.011453199200332165,
-0.009865796193480492,
0.005299878306686878,
0.048543814569711685,
-0.003874629270285368,
0.025773964822292328,
0.02169450931251049,
0.05219654738903046,
-0.0416138581931591,
-0.01622394286096096,
0.016428768634796143,
-0.05356205627322197,
0.011350786313414574,
0.001318568829447031,
0.032925814390182495,
-0.03367684409022331,
-0.004664063453674316,
-0.005073715932667255,
-0.033506155014038086,
-0.00430561788380146,
0.027293093502521515,
-0.002210416365414858,
-0.02034607157111168,
0.029341354966163635,
0.045983485877513885,
0.018263671547174454,
-0.0029891827143728733,
-0.004277880769222975,
0.041818685829639435,
-0.0326356440782547,
-0.010471740737557411,
0.05851202458143234,
-0.004672598093748093,
0.019595041871070862,
0.030024109408259392,
-0.025261899456381798,
-0.04683692753314972,
-0.05895581468939781,
-0.04454970359802246,
0.00857709813863039,
-0.0031556040048599243,
-0.005368153564631939,
-0.0011308114044368267,
0.01613006554543972,
-0.0007067571277730167,
0.002073865383863449,
-0.045607972890138626,
-0.021472614258527756,
0.014943779446184635,
-0.029153598472476006,
-0.0633595734834671,
-0.012682156637310982,
-0.02374277263879776,
-0.00702383229508996,
-0.013740424998104572,
-0.02872687764465809,
-0.03437666594982147,
0.018349016085267067,
-0.00885873381048441,
0.02713947370648384,
0.019885212182998657,
-0.043866947293281555,
0.018383152782917023,
-0.03697113320231438,
0.023896392434835434,
-0.037653885781764984,
0.017290746793150902,
-0.023572083562612534,
0.025552069768309593,
-0.02418656274676323,
-0.020704517140984535,
-0.034393735229969025,
0.03755147382616997,
-0.01100087445229292,
-0.03594700247049332,
-0.018314877524971962,
-0.012810173444449902,
-0.016607992351055145,
-0.010813117027282715,
0.018587978556752205,
0.049499668180942535,
0.008598433807492256,
0.06175510585308075,
0.013629477471113205,
0.019031768664717674,
-0.04110179468989372,
0.00660991296172142,
-0.021609166637063026,
0.03908766806125641,
-0.017751606181263924,
-0.05492756515741348,
0.025005867704749107,
-0.011811644770205021,
-0.014866969548165798,
0.02765153907239437,
-0.01575455069541931,
0.008478951640427113,
0.01875866763293743,
-0.04973863437771797,
0.023077087476849556,
-0.022803986445069313,
0.01373189128935337,
-0.011572681367397308,
-0.037210095673799515,
0.02674688957631588,
-0.005752203054726124,
0.015029123984277248,
0.027600333094596863,
-0.016300752758979797,
-0.010932599194347858,
-0.0019597175996750593,
0.006567240692675114,
-0.005555910989642143,
0.009669504128396511,
-0.02283812314271927,
0.030433762818574905,
-0.03444494307041168,
-0.011128891259431839,
-0.013356376439332962,
-0.021609166637063026,
-0.04676865413784981,
0.0012246901169419289,
0.03850732743740082,
-0.039770424365997314,
-0.007621242199093103,
0.04557383432984352,
0.013125946745276451,
0.010949668474495411,
-0.0182466022670269,
0.018468497321009636,
0.05304998904466629,
0.014337834902107716,
0.003974908962845802,
-0.03403529152274132,
-0.0467003770172596,
0.05799995735287666,
-0.009481746703386307,
0.002799291629344225,
-0.006571508012712002,
0.04171627387404442,
-0.004064520355314016,
-0.010087691247463226,
0.007587104570120573,
0.014824297279119492,
-0.012195694260299206,
0.02253088355064392,
0.06028718501329422,
0.05796581879258156,
-0.00021829460456501693,
0.012520002201199532,
0.012340779416263103,
0.023452602326869965,
0.05670272558927536,
-0.015216881409287453,
0.011026478372514248,
-0.0047323391772806644,
0.012921120971441269,
0.03058738261461258,
-0.03796112537384033,
-0.01971452310681343,
0.014150077477097511,
-0.04717830568552017,
0.005991166923195124,
-0.01608739234507084,
-0.015285156667232513,
0.022684503346681595,
0.06233544647693634,
0.0021165376529097557,
0.003889564424753189,
-0.03686871752142906,
-0.00478354562073946,
-0.018963493406772614,
0.005846081767231226,
0.010104760527610779,
0.04997759684920311,
0.01874159835278988,
-0.03152616694569588,
0.07435191422700882,
0.005722332280129194,
0.008026627823710442,
0.005176129285246134,
-0.01350146159529686,
-0.016940835863351822,
-0.01811005175113678,
-0.031645651906728745,
-0.07544432580471039,
0.02956325002014637,
-0.015447310172021389,
-0.0384049154818058,
-0.001937314635142684,
0.018844012171030045,
0.042023513466119766,
0.07121124863624573,
-0.019885212182998657,
-0.04168213531374931,
0.008952612988650799,
0.02751498855650425,
-0.0024024408776313066,
-0.004804881755262613,
-0.024237768724560738,
0.019373146817088127,
-0.047007616609334946,
-0.059228915721178055,
0.016428768634796143,
0.00039791761082597077,
0.04345729574561119,
-0.0009174507576972246,
0.03396701440215111,
0.00022789584181737155,
-0.0004376560100354254,
-0.0116750942543149,
0.07148434966802597,
0.019885212182998657,
0.007676715962588787,
0.013834304176270962,
0.018383152782917023,
-0.0384049154818058,
-0.007442019414156675,
-0.040419042110443115,
-0.05574686825275421,
0.02893170341849327,
-0.028624463826417923,
0.009660969488322735,
0.01254560612142086,
0.01516567450016737,
-0.01957797259092331,
-0.006046640686690807,
0.012554139830172062,
0.0007542298990301788,
0.004945699591189623,
0.02847084403038025,
-0.030484968796372414,
-0.028897564858198166,
-0.026712752878665924,
0.04973863437771797,
0.00855576153844595,
0.03045083023607731,
0.03333546593785286,
0.012409054674208164,
0.0001973585895029828,
0.025176556780934334,
0.0008283727220259607,
-0.05636134743690491,
-0.015251019038259983,
-0.011564146727323532,
0.0008070366457104683,
0.021199513226747513,
-0.0665343850851059,
0.022121232002973557,
-0.02937549352645874,
-0.023691566661000252,
-0.030297212302684784,
-0.03149203211069107,
0.046563826501369476,
0.018656253814697266
] |
We propose a model-based reinforcement learning (RL) approach for noisy
time-dependent gate optimization with improved sample complexity over
model-free RL. Sample complexity is the number of controller interactions with
the physical system. Leveraging an inductive bias, inspired by recent advances
in neural ordinary differential equations (ODEs), we use an auto-differentiable
ODE parametrised by a learnable Hamiltonian ansatz to represent the model
approximating the environment whose time-dependent part, including the control,
is fully known. Control alongside Hamiltonian learning of continuous
time-independent parameters is addressed through interactions with the system.
We demonstrate an order of magnitude advantage in the sample complexity of our
method over standard model-free RL in preparing some standard unitary gates
with closed and open system dynamics, in realistic numerical experiments
incorporating single shot measurements, arbitrary Hilbert space truncations and
uncertainty in Hamiltonian parameters. Also, the learned Hamiltonian can be
leveraged by existing control methods like GRAPE for further gradient-based
optimization with the controllers found by RL as initializations. Our algorithm
that we apply on nitrogen vacancy (NV) centers and transmons in this paper is
well suited for controlling partially characterised one and two qubit systems. | [
-0.005773812998086214,
-0.020117681473493576,
-0.03637979179620743,
-0.021472858265042305,
-0.004685854539275169,
0.06088748201727867,
-0.0160139799118042,
0.0505041629076004,
-0.03687605261802673,
0.009228557348251343,
0.027084430679678917,
0.010001580230891705,
0.000980593846179545,
-0.002560041844844818,
0.03651340305805206,
0.04771745949983597,
-0.032085221260786057,
0.004886268172413111,
-0.002396609401330352,
-0.01564178429543972,
0.009204698726534843,
-0.013026867061853409,
-0.03533000871539116,
0.04649589583277702,
-0.017750896513462067,
0.03126448020339012,
0.011728951707482338,
0.012731018476188183,
-0.10009215027093887,
0.042793020606040955,
-0.005635431967675686,
0.050427813082933426,
-0.02000316046178341,
0.02330520749092102,
-0.04390006512403488,
-0.014945108443498611,
0.01964050717651844,
-0.0018872255459427834,
-0.012826453894376755,
0.009281046688556671,
-0.008040391840040684,
-0.012082060799002647,
-0.043174758553504944,
-0.017569569870829582,
0.03859388455748558,
-0.00581675861030817,
-0.0027461398858577013,
-0.014219803735613823,
-0.02202638052403927,
-0.014830587431788445,
0.011022733524441719,
-0.03225700557231903,
0.05523773282766342,
-0.001798948273062706,
-0.04092249646782875,
-0.021549206227064133,
0.03426113724708557,
0.04928259551525116,
0.06443765759468079,
0.0445108488202095,
0.05554312467575073,
-0.01638617552816868,
-0.11650695651769638,
0.02668360434472561,
-0.002087638946250081,
-0.05458877608180046,
0.03437566012144089,
0.0038531851023435593,
0.019401919096708298,
-0.006284389644861221,
-0.08795282244682312,
-0.03636070713400841,
-0.02433590590953827,
-0.018543004989624023,
0.011013190262019634,
0.02759977988898754,
0.0018681385554373264,
0.02229359745979309,
-0.0021496715489774942,
0.04668676480650902,
0.03254330903291702,
0.0433274544775486,
-0.018838854506611824,
0.0005937841488048434,
0.06134556978940964,
-0.0794782042503357,
0.07027827948331833,
-0.060429394245147705,
0.02792425826191902,
-0.006737705320119858,
-0.029871130362153053,
-0.005258464254438877,
-0.01967868022620678,
-0.02225542441010475,
-0.02460312284529209,
-0.017082851380109787,
-0.019888637587428093,
0.00378638063557446,
-0.03326861560344696,
0.0309972632676363,
0.014878304675221443,
-0.0033616952132433653,
0.04336562752723694,
0.0013682981953024864,
-0.0008082144777290523,
-0.023725122213363647,
-0.07818029075860977,
0.00459280563518405,
0.0453888475894928,
0.11772852391004562,
-0.009906144812703133,
-0.02265625074505806,
0.014582456089556217,
0.043136585503816605,
-0.07569897919893265,
0.0029513249173760414,
-0.06184183061122894,
-0.0500078983604908,
0.011270863935351372,
-0.0465722419321537,
0.03618892282247543,
0.07375210523605347,
0.04164779931306839,
-0.030882740393280983,
-0.003149352502077818,
0.05573399364948273,
0.009247643873095512,
-0.006265302654355764,
0.021911857649683952,
0.013618563301861286,
-0.05901695787906647,
-0.023858729749917984,
-0.006752020679414272,
-0.07783672213554382,
0.0071623907424509525,
-0.004669153597205877,
0.026492735370993614,
-0.03704783692955971,
-0.015422283671796322,
-0.024584036320447922,
0.041151538491249084,
-0.04626685008406639,
-0.021797336637973785,
0.020423073321580887,
0.03002382628619671,
0.037792228162288666,
-0.05229833722114563,
0.03395574539899826,
-0.038784753531217575,
0.014677891507744789,
-0.06207087263464928,
0.035826269537210464,
0.006236672401428223,
0.03141717612743378,
0.044816240668296814,
-0.005525682121515274,
-0.02695082128047943,
-0.009128350764513016,
0.02494668960571289,
-0.08161594718694687,
0.03805944696068764,
-0.0018514374969527125,
-0.0013229666510596871,
0.06596461683511734,
-0.00983934011310339,
0.05332903563976288,
0.043403804302215576,
0.019774116575717926,
-0.050771377980709076,
0.03265783190727234,
-0.025786515325307846,
-0.029088564217090607,
-0.01163351722061634,
0.019888637587428093,
0.03594079241156578,
0.016195306554436684,
0.09894692897796631,
0.009605525061488152,
0.010383320041000843,
-0.0309972632676363,
-0.04042623192071915,
0.007906783372163773,
0.013542215339839458,
0.05951321870088577,
0.08329559862613678,
0.03550179302692413,
0.04271667078137398,
-0.0046667675487697124,
0.00540161645039916,
0.012272930704057217,
0.01400984637439251,
0.012110691517591476,
-0.005458877421915531,
0.007606163155287504,
-0.006222357042133808,
-0.05287094786763191,
-0.023915991187095642,
-0.02366786077618599,
-0.013255910947918892,
0.01799902692437172,
-0.014897391200065613,
-0.013294084928929806,
-0.0005499437684193254,
-0.039777275174856186,
-0.012387452647089958,
-0.010621907189488411,
0.05726095288991928,
-0.015842197462916374,
0.034490179270505905,
-0.029527565464377403,
0.04653406888246536,
-0.010860494337975979,
-0.049778856337070465,
-0.050084248185157776,
-0.01698741689324379,
-0.019067898392677307,
-0.00949577521532774,
-0.03569266200065613,
-0.020136767998337746,
-0.024049600586295128,
-0.01396212913095951,
-0.0024049601051956415,
0.04851911589503288,
-0.02101477049291134,
-0.040846146643161774,
0.00946714449673891,
-0.00011690778046613559,
-0.015870828181505203,
-0.011118168942630291,
0.011929364874958992,
0.005339583847671747,
0.02067120373249054,
0.017245089635252953,
0.025213906541466713,
-0.02032763883471489,
0.03825031593441963,
0.04893902689218521,
0.01447747740894556,
0.0359598770737648,
-0.05031329020857811,
-0.0012513904366642237,
0.01802765764296055,
0.010841406881809235,
-0.03592170402407646,
0.023171599954366684,
-0.004757430870085955,
-0.007835207507014275,
0.07020192593336105,
0.058711566030979156,
0.02702716924250126,
-0.07753133028745651,
-0.03931918740272522,
-0.04222040995955467,
-0.037162359803915024,
-0.0741720199584961,
0.034490179270505905,
0.0202894639223814,
-0.005535225383937359,
0.03200887143611908,
-0.0661173164844513,
0.03464287519454956,
0.06027669832110405,
0.06630818545818329,
0.042144060134887695,
-0.05523773282766342,
-0.023553339764475822,
0.050465986132621765,
0.050160594284534454,
-0.018180353567004204,
-0.0019922039937227964,
0.017149655148386955,
-0.03529183566570282,
-0.0019576088525354862,
0.03334496170282364,
0.05958956480026245,
-0.06844592839479446,
-0.018476201221346855,
-0.008355327881872654,
-0.002263000700622797,
-0.02299981564283371,
-0.01798948273062706,
-0.008436447009444237,
0.03059643693268299,
-0.0017106710001826286,
-0.011528538540005684,
-0.05130581557750702,
-0.05199294537305832,
-0.008698892779648304,
-0.04531250149011612,
0.031779829412698746,
-0.006608868483453989,
0.05134398862719536,
-0.012549692764878273,
0.01632891595363617,
0.015842197462916374,
0.04500710964202881,
-0.05073320493102074,
-0.007424836978316307,
0.021759161725640297,
-0.030577348545193672,
0.00467392522841692,
-0.025500211864709854,
-0.008760926313698292,
0.01731189526617527,
-0.052756424993276596,
-0.0014327167300507426,
0.01630982756614685,
-0.018857941031455994,
-0.019172875210642815,
0.02366786077618599,
0.04672493785619736,
0.020423073321580887,
-0.004246854223310947,
-0.03708600997924805,
-0.031455349177122116,
0.0050437357276678085,
0.02866865135729313,
0.013809433206915855,
-0.04829007014632225,
-0.04500710964202881,
0.006370280869305134,
0.0326196551322937,
-0.04523615166544914,
-0.02133924886584282,
0.029852043837308884,
-0.009600752964615822,
0.04855728894472122,
0.002657862612977624,
-0.026416387408971786,
0.0005794689059257507,
-0.017817700281739235,
0.022828033193945885,
-0.12314922362565994,
-0.01861935295164585,
0.01630982756614685,
-0.0125019745901227,
-0.03584535792469978,
0.03563540056347847,
-0.01600443571805954,
-0.0681787058711052,
-0.024736732244491577,
0.0011589378118515015,
0.020537596195936203,
0.009204698726534843,
0.061421915888786316,
-0.06623183935880661,
-0.011204060167074203,
0.028783172369003296,
0.012826453894376755,
0.01967868022620678,
0.0009966985089704394,
0.0011869719019159675,
0.02698899619281292,
-0.03584535792469978,
0.054092515259981155,
-0.04390006512403488,
0.015746762976050377,
-0.007968815974891186,
-0.0447017177939415,
0.028115129098296165,
0.017216460779309273,
-0.03786857798695564,
-0.047450244426727295,
0.011509452015161514,
-0.03771588206291199,
0.032505135983228683,
-0.02034672535955906,
-0.02296164259314537,
-0.007272141054272652,
0.011318582110106945,
-0.03573083505034447,
0.019153788685798645,
0.03571174666285515,
0.015069174580276012,
-0.0069142603315413,
-0.033783961087465286,
-0.0539398193359375,
-0.022102728486061096,
-0.024545861408114433,
0.03155078366398811,
-0.026378212496638298,
0.019440094009041786,
-0.020442159846425056,
-0.0008153720991685987,
0.025080297142267227,
0.03496735543012619,
-0.020499421283602715,
-0.06188000366091728,
-0.03387939929962158,
0.018867483362555504,
0.020403986796736717,
-0.020251290872693062,
-0.013294084928929806,
0.02832508459687233,
-0.0028463464695960283,
0.0259392112493515,
0.0073389457538723946,
-0.0004303518508095294,
-0.011175429448485374,
-0.0031231078319251537,
0.014362955465912819,
-0.03756318613886833,
-0.005783356260508299,
0.036799706518650055,
-0.012234756723046303,
0.0012334963539615273,
-0.06443765759468079,
-0.06829322874546051,
0.026206430047750473,
-0.03225700557231903,
0.007630022242665291,
0.0076586524955928326,
-0.015555892139673233,
-0.0018896114779636264,
-0.012454257346689701,
-0.024087773635983467,
-0.06302522122859955,
0.02301890403032303,
0.012282474897801876,
-0.06504844129085541,
-0.008622544817626476,
0.02792425826191902,
0.026836300268769264,
0.048404593020677567,
-0.011146798729896545,
0.047793809324502945,
0.03634161874651909,
-0.033115919679403305,
-0.02929852157831192,
-0.021052943542599678,
0.022102728486061096,
0.04905354976654053,
0.00048343752860091627,
-0.060429394245147705,
-0.04504528269171715,
0.009085404686629772,
0.006847455631941557,
0.05768086761236191,
-0.044472675770521164,
-0.006508661899715662,
-0.022904381155967712,
0.0002487272722646594,
-0.037792228162288666,
-0.012750105932354927,
0.029737522825598717,
-0.013456324115395546,
-0.03805944696068764,
-0.014324781484901905,
0.0031755969393998384,
0.028840433806180954,
-0.05974226072430611,
0.01217749621719122,
-0.0677969679236412,
0.004638137295842171,
0.019564159214496613,
-0.010984559543430805,
0.04218223690986633,
-0.03492918238043785,
0.038822926580905914,
-0.028573215007781982,
0.061078350991010666,
0.04821372404694557,
0.0346810519695282,
-0.07688237726688385,
0.02498486265540123,
0.021778250113129616,
-0.017846331000328064,
-0.05027511715888977,
0.005182116292417049,
0.037486836314201355,
0.007028782274574041,
-0.05592486634850502,
-0.00241450360044837,
0.011127712205052376,
0.002217669039964676,
0.013446780852973461,
-0.026053734123706818,
-0.07543176412582397,
-0.001188164809718728,
-0.05390164256095886,
0.009548263624310493,
-0.027447083964943886,
0.01927785389125347,
-0.01660567708313465,
-0.011853017844259739,
0.016472067683935165,
0.07619524002075195,
-0.02097659558057785,
0.019172875210642815,
0.018590722233057022,
-0.056688342243433,
-0.03256239742040634,
-0.0029990423936396837,
0.04603780806064606,
0.008403045125305653,
-0.005000790115445852,
0.025118472054600716,
-0.039815448224544525,
0.04218223690986633,
0.0017416873015463352,
0.01417208556085825,
-0.06852227449417114,
-0.020423073321580887,
-0.0019647665321826935,
-0.04664859175682068,
0.00819308776408434,
0.07707324624061584,
0.007854294031858444,
-0.009829796850681305,
-0.05054233595728874,
0.0447017177939415,
0.014563369564712048,
-0.02128198742866516,
-0.003638456342741847,
0.049855202436447144,
-0.006322563625872135,
-0.0313408300280571,
-0.04019718989729881,
0.030787305906414986,
0.04172414913773537,
0.032810527831315994,
-0.04000632092356682,
0.019850464537739754,
0.020766640082001686,
-0.058100782334804535,
0.007682511117309332,
0.0029513249173760414,
-0.04504528269171715,
-0.0033306789118796587,
0.02263716422021389,
-0.03622709587216377,
0.04256397485733032,
-0.03800218552350998,
-0.0938316136598587,
-0.06646087765693665,
-0.01896291971206665,
-0.025118472054600716,
0.02530934102833271,
-0.00616986770182848,
-0.0017917907098308206,
-0.00386750022880733,
0.06794966757297516,
0.01497373916208744,
0.027141692116856575,
0.017140112817287445,
-0.022847119718790054,
0.0159662626683712,
0.006179411429911852,
-0.003433271311223507,
0.0138285206630826,
0.0038293262477964163,
-0.03092091530561447,
0.018409397453069687,
0.02567199431359768,
-0.024488601833581924,
-0.026492735370993614,
0.0031135643366724253,
-0.040502581745386124,
-0.008579599671065807,
0.0025481125339865685,
-0.005439790431410074,
0.017455046996474266,
-0.00897088274359703,
-0.011375842615962029,
-0.0076586524955928326,
-0.030882740393280983,
0.05748999863862991,
0.020518507808446884,
0.030233783647418022,
-0.0058787912130355835,
-0.037467751652002335,
-0.029069477692246437,
0.018094461411237717,
-0.003512005088850856,
0.015584522858262062,
-0.005034191999584436,
0.013675824739038944,
-0.009109263308346272,
0.007539358921349049,
-0.022713512182235718,
-0.0062271286733448505,
-0.021911857649683952,
0.03935736045241356,
0.01450610812753439,
-0.02330520749092102,
-0.023839643225073814,
-0.03618892282247543,
-0.03470013663172722,
0.020060420036315918,
-0.004022581968456507,
-0.007916326634585857,
0.0412660613656044,
-0.023782383650541306,
0.046457719057798386,
-0.02460312284529209,
-0.025519298389554024,
-0.008856360800564289,
0.013647194020450115,
0.05027511715888977,
-0.03464287519454956,
-0.03540635481476784,
0.016796546056866646,
0.010373775847256184,
0.011404473334550858,
-0.03092091530561447,
-0.004891039803624153,
0.015269587747752666,
0.012893257662653923,
-0.00798790343105793,
0.01992681249976158,
0.01564178429543972,
0.03800218552350998,
0.014897391200065613,
-0.01934465952217579,
0.03907105699181557,
0.002373943803831935,
-0.020194029435515404,
0.02826782502233982,
0.021835509687662125,
-0.0479465052485466,
0.026244603097438812,
-0.01251151878386736,
0.030062001198530197,
-0.015870828181505203,
0.010087471455335617,
0.02361059933900833,
-0.020862074568867683,
-0.013437236659228802,
0.005253692623227835,
0.0019790816586464643,
0.006217585410922766,
-0.01765546016395092,
-0.03889927268028259,
-0.003908060025423765,
0.009343079291284084,
-0.012578322552144527,
0.018896114081144333,
0.06256713718175888,
0.032123394310474396,
0.04870998486876488,
-0.027733389288187027,
-0.002908379305154085,
0.0021103047765791416,
0.006895173341035843,
-0.0042277672328054905,
0.02132016234099865,
0.03533000871539116,
0.005988541524857283,
0.010698255151510239,
0.030462827533483505,
0.03441383317112923,
-0.006012400146573782,
0.056688342243433,
0.05603938549757004,
-0.026225516572594643,
-0.006919031962752342,
0.014048020355403423,
-0.043136585503816605,
-0.021091118454933167,
0.008364871144294739,
0.03796401247382164,
0.0007515500183217227,
0.03128356859087944,
0.007276912685483694,
0.0453888475894928,
0.016748828813433647,
0.043823715299367905,
0.03034830465912819,
-0.018504831939935684,
0.04489258676767349,
-0.03603622689843178,
-0.03095908835530281,
-0.0004309483338147402,
0.0025839004665613174,
0.0360553152859211,
-0.028038781136274338,
0.008035620674490929,
0.050084248185157776,
0.0010139960795640945,
-0.025729255750775337,
-0.0031994557939469814,
-0.01047875452786684,
-0.016118958592414856,
-0.023496078327298164,
-0.01448702160269022,
-0.003998723346740007,
-0.028496867045760155,
-0.0052918666042387486,
-0.03639888018369675,
0.015737218782305717,
-0.045503370463848114,
-0.0532526858150959,
-0.0017130568157881498,
0.0021759162191301584,
-0.012721475213766098,
0.029088564217090607,
-0.007644337136298418,
0.005182116292417049,
0.013446780852973461,
-0.01867661438882351,
-0.04359467327594757,
0.014563369564712048,
0.026378212496638298,
0.03067278489470482,
0.04160962626338005,
0.010182905942201614,
0.010879580862820148,
0.003313977736979723,
-0.03992997109889984,
-0.011891191825270653,
0.023515164852142334,
0.053825296461582184,
-0.004452039021998644,
0.006222357042133808,
0.0016164289554581046,
-0.020098594948649406,
0.020060420036315918,
0.030424652621150017,
-0.005301409866660833,
0.010221079923212528,
0.0126260407269001,
0.018857941031455994,
-0.004024968016892672,
-0.08398272842168808,
0.01266421377658844,
0.045732416212558746,
0.04787015542387962,
-0.004776517860591412,
0.03225700557231903,
0.008035620674490929,
0.010822320356965065,
-0.0398917980492115,
-0.020709378644824028,
0.012635583989322186,
-0.02498486265540123,
-0.014191173017024994,
0.016233479604125023,
0.043747369199991226,
0.026110995560884476,
-0.015317304991185665,
0.005616344977170229,
0.01595671847462654,
0.0006429927889257669,
0.013752172701060772,
-0.006093519739806652,
0.02698899619281292,
0.004211065825074911,
0.012301561422646046,
0.007143303751945496,
0.008589142933487892,
0.04454902186989784,
-0.0202894639223814,
-0.010020666755735874,
-0.01479241345077753,
-0.023839643225073814,
0.007167162839323282,
0.0033211354166269302,
0.007367576006799936,
0.017894048243761063,
-0.0027866996824741364,
0.018581179901957512,
0.04168597236275673,
0.01317001972347498,
0.002390644745901227,
0.013189106248319149,
-0.04424363002181053,
-0.033421311527490616,
-0.021052943542599678,
0.036131661385297775,
-0.01632891595363617,
0.04023536294698715,
0.04428180307149887,
0.047144852578639984,
-0.023381555452942848,
-0.010068383999168873,
-0.02061394415795803,
-0.009386024437844753,
0.007925869897007942,
-0.008431675843894482,
0.0028654334601014853,
-0.005721323657780886,
0.008927936665713787,
-0.028515955433249474,
0.033841222524642944,
0.0013814205303788185,
-0.007353260647505522,
-0.034108441323041916,
-0.0032662602607160807,
-0.0013849993702024221,
-0.01179575640708208,
0.008899306878447533,
-0.00042379071237519383,
0.008116739802062511,
0.026740865781903267,
0.01867661438882351,
0.018199440091848373,
-0.02634003944694996,
0.00532049685716629,
0.007792261429131031,
-0.011480821296572685,
-0.036780618131160736,
0.0073103150352835655,
-0.0065945531241595745,
0.029489390552043915,
0.00751072820276022,
-0.010707798413932323,
-0.020709378644824028,
-0.015489088371396065,
0.03139808773994446,
0.004852865822613239,
-0.02433590590953827,
0.013971672393381596,
0.029145825654268265,
-0.00008440025703748688,
0.03765862062573433,
-0.04855728894472122,
0.0008624931215308607,
0.04508345574140549,
0.02229359745979309,
-0.0005296638119034469,
0.008398273028433323,
-0.0018681385554373264,
-0.0003053917607758194,
-0.01634800247848034,
-0.006952434312552214,
-0.008212175220251083,
-0.028840433806180954,
-0.027370736002922058,
-0.03294413536787033,
0.0138285206630826,
-0.00897565484046936,
0.054397907108068466,
-0.058749739080667496,
-0.011814843863248825,
-0.018390309065580368,
0.04897720366716385,
-0.00014896795619279146,
0.041838668286800385,
0.007601391524076462,
0.0026411614380776882,
-0.016109414398670197,
-0.04054075479507446,
0.023133425042033195,
-0.022408120334148407,
-0.04027353599667549,
0.01998407207429409,
0.00039605493657290936,
0.006899944972246885,
-0.0352727472782135,
-0.013227280229330063,
0.006561150774359703,
-0.0036503858864307404,
0.047144852578639984,
0.0075298151932656765,
0.003540635574609041,
-0.006231900304555893,
0.006876086350530386,
0.05172572657465935,
-0.006136465352028608,
-0.04225858300924301,
0.009953862056136131,
-0.02261807583272457,
0.019735941663384438,
0.014067107811570168,
0.043403804302215576,
-0.006542063783854246,
-0.0035143911372870207,
-0.01447747740894556,
-0.0379258394241333,
-0.02435499243438244,
0.0006966749206185341,
0.0010581347160041332,
-0.07008741050958633,
0.018867483362555504,
-0.005396844819188118,
0.0016498311888426542,
-0.020213115960359573,
-0.020079508423805237,
-0.010116102173924446,
-0.03361218050122261,
-0.0026626342441886663,
0.028477780520915985,
0.020251290872693062,
-0.025175733491778374,
0.036818794906139374,
0.02004133351147175,
-0.020556682720780373,
-0.023896904662251472,
-0.0033569233492016792,
-0.04958798736333847,
-0.018189895898103714,
0.025481123477220535,
-0.03624618425965309,
0.03475739806890488,
0.04256397485733032,
0.014601543545722961,
-0.05748999863862991,
-0.008560512214899063,
0.03355491906404495,
0.004535544663667679,
-0.024717645719647408,
-0.05516138672828674,
-0.019583245739340782,
-0.04038805887103081,
0.027065344154834747,
-0.014525195583701134,
-0.004745501559227705,
-0.019755028188228607,
0.024488601833581924,
-0.04004449397325516,
-0.011032276786863804,
0.026798125356435776,
0.02897404320538044,
-0.053825296461582184,
0.03029104508459568,
0.008059479296207428,
-0.041495103389024734,
-0.05405433848500252,
0.03658974915742874,
0.016844263300299644,
-0.04218223690986633,
-0.018247157335281372,
-0.0007241124985739589,
0.023476991802453995,
-0.014448847621679306,
-0.023763295263051987,
-0.005468421149998903,
0.034833747893571854,
-0.001909891376271844,
-0.004972159396857023,
0.0028368029743433,
0.01233973540365696,
0.06565922498703003,
-0.013418150134384632,
0.013761715963482857,
0.03525365889072418,
0.02763795293867588,
0.0033903256990015507,
-0.005936052184551954,
-0.02368694730103016,
-0.016214393079280853,
-0.07932550460100174,
-0.008326697163283825,
0.004537930712103844,
0.030787305906414986,
-0.016777459532022476,
0.028496867045760155,
0.024145035073161125,
-0.04832824319601059,
-0.01830441877245903,
-0.0073389457538723946,
0.023515164852142334,
-0.01100364699959755,
0.017054220661520958,
-0.007859066128730774,
-0.01464926078915596,
-0.024183209985494614,
-0.03794492408633232,
-0.044129107147455215,
0.05516138672828674,
0.02328612096607685,
-0.001038451213389635,
-0.045770589262247086,
-0.016099872067570686,
-0.0372387059032917,
0.00584061723202467,
-0.0405789278447628,
0.003640842391178012,
-0.03324952721595764,
0.010440580546855927,
0.0030825480353087187,
-0.01264512725174427,
0.03491009399294853,
0.03141717612743378,
0.029832957312464714,
0.005535225383937359,
-0.009672329761087894,
0.011967538855969906,
-0.038765665143728256,
0.033096831291913986,
0.02399233914911747,
-0.0447017177939415,
-0.0019325572066009045,
0.004855251871049404,
0.0001959398214239627,
0.019077440723776817,
-0.005229833535850048,
-0.009190383367240429,
-0.011528538540005684,
0.003676630323752761,
-0.014582456089556217,
-0.028706824406981468,
0.05019877105951309,
-0.024889428168535233,
0.013589932583272457,
0.007596619892865419,
-0.006165096070617437,
-0.03630344569683075,
0.0346810519695282,
-0.03519640117883682,
0.002017255639657378,
-0.025462036952376366,
-0.003070618724450469,
0.048061028122901917,
0.06691896915435791,
-0.0049435291439294815,
0.06424678862094879,
-0.01299823634326458,
-0.045121632516384125,
0.015126435086131096,
-0.019545072689652443,
-0.025232993066310883,
0.04233493283390999,
0.014429760165512562,
-0.04206771403551102,
0.06882766634225845,
0.01630028523504734,
-0.006985836196690798,
0.022904381155967712,
-0.0125019745901227,
0.01796085201203823,
-0.03632253035902977,
0.030863653868436813,
-0.029413042590022087
] |
We present a system that enables an autonomous small-scale RC car to drive
aggressively from visual observations using reinforcement learning (RL). Our
system, FastRLAP (faster lap), trains autonomously in the real world, without
human interventions, and without requiring any simulation or expert
demonstrations. Our system integrates a number of important components to make
this possible: we initialize the representations for the RL policy and value
function from a large prior dataset of other robots navigating in other
environments (at low speed), which provides a navigation-relevant
representation. From here, a sample-efficient online RL method uses a single
low-speed user-provided demonstration to determine the desired driving course,
extracts a set of navigational checkpoints, and autonomously practices driving
through these checkpoints, resetting automatically on collision or failure.
Perhaps surprisingly, we find that with appropriate initialization and choice
of algorithm, our system can learn to drive over a variety of racing courses
with less than 20 minutes of online training. The resulting policies exhibit
emergent aggressive driving skills, such as timing braking and acceleration
around turns and avoiding areas which impede the robot's motion, approaching
the performance of a human driver using a similar first-person interface over
the course of training. | [
0.03177282214164734,
-0.004672335926443338,
-0.02881939895451069,
-0.0761118084192276,
-0.026674875989556313,
0.0412350669503212,
-0.005916254129260778,
0.019940314814448357,
-0.07182276248931885,
-0.021031389012932777,
0.04161129891872406,
-0.006546443328261375,
0.06023480370640755,
-0.06644263863563538,
-0.006917972583323717,
0.04612608999013901,
0.005634079687297344,
0.047367654740810394,
-0.0052625504322350025,
-0.025960033759474754,
0.02678774483501911,
-0.004481868352741003,
-0.040745966136455536,
0.04341721534729004,
-0.021501680836081505,
0.035140104591846466,
0.009048388339579105,
0.02827386185526848,
-0.08743640035390854,
-0.01995912753045559,
0.06335753202438354,
0.026373889297246933,
-0.024567974731326103,
0.025602612644433975,
0.012594378553330898,
0.021087825298309326,
0.05944471433758736,
0.008756808005273342,
-0.04868447035551071,
0.05899323523044586,
0.0002887877344619483,
-0.003207380883395672,
-0.034218333661556244,
-0.025527367368340492,
-0.02430461160838604,
-0.040670718997716904,
-0.06294367462396622,
0.019733387976884842,
-0.03942915424704552,
-0.023476900532841682,
0.008310032077133656,
-0.015895817428827286,
0.039542023092508316,
-0.0015684186946600676,
0.0005137923290021718,
0.010440448299050331,
-0.009062496945261955,
0.0013579637743532658,
-0.003964548464864492,
0.01610274612903595,
0.046163711696863174,
-0.048947833478450775,
-0.07005446404218674,
0.016911644488573074,
0.0025254597421735525,
-0.05128047242760658,
0.03863906487822533,
0.00973501242697239,
-0.017447777092456818,
-0.011954783461987972,
-0.044959768652915955,
-0.01525622233748436,
-0.02219771035015583,
0.024022437632083893,
0.0353282205760479,
-0.007336531300097704,
0.011315188370645046,
0.02799168787896633,
-0.003971602767705917,
0.022517507895827293,
0.04093408212065697,
-0.018350733444094658,
-0.035140104591846466,
-0.009716200642287731,
0.03408665210008621,
-0.05662297084927559,
0.04469640552997589,
-0.0815671756863594,
0.03939152881503105,
-0.051242850720882416,
-0.059256598353385925,
0.015331469476222992,
0.002030479023233056,
0.03250647708773613,
-0.001056389999575913,
0.012161711230874062,
-0.032788652926683426,
-0.019507648423314095,
-0.05831601843237877,
-0.009462243877351284,
-0.0010987160494551063,
0.03455694392323494,
0.01631907932460308,
-0.03587375581264496,
0.01646016538143158,
-0.047555770725011826,
-0.08344834297895432,
0.04052022472023964,
0.006988516543060541,
0.10880640149116516,
0.007190741132944822,
-0.03871431201696396,
-0.011334000155329704,
0.024078872054815292,
-0.04432017356157303,
-0.001464954810217023,
-0.01480474416166544,
-0.05459131672978401,
0.09420858323574066,
-0.002833500038832426,
0.05131809413433075,
0.07302670180797577,
0.036701466888189316,
-0.011484493501484394,
-0.015764135867357254,
0.00017415444017387927,
0.028537224978208542,
0.019150227308273315,
-0.010694405063986778,
-0.034161899238824844,
-0.01327159721404314,
-0.01559483166784048,
0.001064032199792564,
0.024210553616285324,
0.029158009216189384,
0.016610659658908844,
-0.019582895562052727,
-0.06290604919195175,
0.012199334800243378,
0.011437464505434036,
0.012914176099002361,
0.00682861777022481,
-0.0052719563245773315,
0.049135949462652206,
0.0697534829378128,
0.051769573241472244,
0.012650813907384872,
0.033804479986429214,
-0.034161899238824844,
0.03942915424704552,
-0.0645238533616066,
0.041874662041664124,
0.010487477295100689,
0.04612608999013901,
0.011493898928165436,
0.008103104308247566,
-0.04977554455399513,
0.0439063161611557,
0.02279968187212944,
-0.07114554196596146,
0.0843513011932373,
0.009067200124263763,
-0.01124934758991003,
0.05741306021809578,
0.04533600062131882,
0.05410221591591835,
0.04330434650182724,
0.005619971081614494,
-0.03931628167629242,
0.03764205053448677,
-0.01574532501399517,
-0.014212178066372871,
0.024266988039016724,
0.0007742156740278006,
0.08405031263828278,
0.005417746026068926,
0.04063309729099274,
0.01613096334040165,
-0.003790541086345911,
-0.03860144317150116,
-0.04819536581635475,
-0.003879896365106106,
0.03950439766049385,
0.04138556122779846,
0.013243379071354866,
0.04439542070031166,
0.03128372132778168,
0.00416207080706954,
0.01848241500556469,
-0.0011863077525049448,
0.030286705121397972,
0.045561742037534714,
0.014033467508852482,
0.00006830233905930072,
-0.03190450370311737,
-0.01796509511768818,
-0.019676953554153442,
0.0058833337388932705,
-0.018623502925038338,
0.0612882524728775,
-0.021520491689443588,
-0.04420730471611023,
0.014992860145866871,
0.013440901413559914,
0.025922410190105438,
-0.03466981276869774,
-0.012914176099002361,
0.029515430331230164,
-0.0034119572956115007,
-0.007073168642818928,
0.009396403096616268,
-0.021915536373853683,
-0.09601449966430664,
-0.0058645219542086124,
-0.023796698078513145,
-0.03553514927625656,
-0.006283080670982599,
-0.024530351161956787,
0.03638166934251785,
-0.039843007922172546,
0.009932534769177437,
0.008041966706514359,
-0.020824462175369263,
0.01049688272178173,
-0.04473402723670006,
-0.01459781639277935,
0.03389853611588478,
0.0004917474579997361,
-0.003602424869313836,
-0.04740528017282486,
-0.04319147765636444,
-0.04796962812542915,
0.019112603738904,
0.023853132501244545,
0.0075152418576180935,
0.001685991301201284,
-0.00360477645881474,
-0.0011263457126915455,
0.032600533217191696,
-0.023608582094311714,
0.035854946821928024,
-0.015209193341434002,
-0.039767760783433914,
-0.0038845993112772703,
0.04063309729099274,
-0.02411649562418461,
-0.017316095530986786,
0.05109235644340515,
0.0787830576300621,
0.006283080670982599,
-0.03239360824227333,
-0.041347939521074295,
-0.005027404986321926,
0.00682861777022481,
-0.03638166934251785,
0.027333281934261322,
0.02238582633435726,
-0.037717293947935104,
0.003470743540674448,
-0.05647248029708862,
0.01122113037854433,
0.015971064567565918,
0.02419174090027809,
0.04454591125249863,
-0.07137127965688705,
-0.004357241094112396,
-0.007327125407755375,
0.06535156071186066,
0.01914082281291485,
-0.01978982239961624,
0.01689283363521099,
-0.023533334955573082,
-0.04281524568796158,
0.010948361828923225,
0.0021974320989102125,
-0.06828617304563522,
-0.027897629886865616,
-0.007214255630970001,
0.030662938952445984,
0.023307595402002335,
-0.015284440480172634,
-0.015707701444625854,
0.033860914409160614,
-0.03433120250701904,
0.005469478201121092,
-0.05263490974903107,
-0.015782948583364487,
-0.024925393983721733,
-0.047555770725011826,
0.036043062806129456,
-0.030117401853203773,
-0.030192647129297256,
-0.03179163485765457,
0.03245004266500473,
0.040858834981918335,
0.04552411660552025,
-0.01381713431328535,
-0.05692395940423012,
-0.005182601045817137,
0.040670718997716904,
0.018679937347769737,
0.021069012582302094,
0.009640954434871674,
-0.016384920105338097,
0.000004808536232303595,
0.00027379722450859845,
-0.033315375447273254,
0.009546896442770958,
-0.022686811164021492,
-0.025546178221702576,
-0.008987250737845898,
0.05222105234861374,
-0.03867668658494949,
-0.02370264008641243,
0.01947002485394478,
0.011268159374594688,
0.008437011390924454,
-0.02231057919561863,
-0.04341721534729004,
0.005803384352475405,
-0.009245910681784153,
-0.029383748769760132,
-0.06388425827026367,
0.03408665210008621,
0.05018939822912216,
0.0407835878431797,
-0.0011316364398226142,
-0.04018161818385124,
-0.08668393641710281,
-0.015942847356200218,
-0.06373376399278641,
0.013083480298519135,
-0.08450178802013397,
0.030249083414673805,
-0.012867147102952003,
-0.027163976803421974,
-0.06377138942480087,
0.04563698545098305,
0.007392966188490391,
-0.0437934473156929,
-0.02889464609324932,
-0.021200694143772125,
0.012688436545431614,
-0.024379856884479523,
0.02443629316985607,
-0.02310066856443882,
-0.016526006162166595,
0.03991825506091118,
-0.01914082281291485,
-0.024925393983721733,
0.0010998918442055583,
0.0014379130443558097,
0.014372076839208603,
-0.022479884326457977,
0.014691874384880066,
-0.02532043866813183,
-0.045147884637117386,
-0.0019422996556386352,
-0.03218667954206467,
0.005779869854450226,
0.05654772371053696,
-0.054741811007261276,
-0.020655157044529915,
0.0319233164191246,
-0.039542023092508316,
0.05094186216592789,
0.021144259721040726,
0.0031485946383327246,
-0.010694405063986778,
0.058617003262043,
0.009988969191908836,
0.0058504133485257626,
-0.01930072158575058,
-0.0348767414689064,
0.017353719100356102,
-0.04360533133149147,
0.005093245767056942,
-0.02701348438858986,
-0.053349751979112625,
0.017776979133486748,
0.008737997151911259,
0.00234087067656219,
-0.02358976937830448,
0.02635507844388485,
0.010600347071886063,
0.10361439734697342,
0.009189475327730179,
-0.049662671983242035,
0.025922410190105438,
-0.0014191014925017953,
0.08021274209022522,
-0.04733003303408623,
0.0037482150364667177,
0.02900751680135727,
-0.008140727877616882,
0.02195315808057785,
0.024511538445949554,
-0.016168586909770966,
-0.020222490653395653,
-0.041761793196201324,
-0.013045857660472393,
0.030249083414673805,
-0.0009217693004757166,
-0.021501680836081505,
-0.021746231243014336,
0.01881161890923977,
-0.013111698441207409,
-0.005587050691246986,
0.03630642220377922,
0.037961848080158234,
0.030324328690767288,
-0.05158145725727081,
0.008573395200073719,
0.012302798219025135,
0.025000641122460365,
0.006325406953692436,
-0.009697389788925648,
-0.041046950966119766,
-0.055456653237342834,
-0.03980538621544838,
-0.03466981276869774,
0.05797740817070007,
0.011051826179027557,
0.008197163231670856,
-0.02490658313035965,
0.03598662465810776,
0.017720544710755348,
-0.00409387843683362,
-0.00005048274033470079,
-0.04661519080400467,
0.026204584166407585,
-0.0011192912934347987,
0.007331828586757183,
-0.04620133712887764,
-0.011785479262471199,
-0.018708154559135437,
0.056246738880872726,
0.03807471692562103,
-0.041949909180402756,
0.01309288665652275,
0.004909832496196032,
-0.04307860508561134,
-0.018679937347769737,
-0.03583613410592079,
0.024756090715527534,
-0.0018247270490974188,
0.03179163485765457,
-0.0043031577952206135,
0.01293298788368702,
0.00838057603687048,
-0.09601449966430664,
0.024944206699728966,
-0.08186816424131393,
-0.031076794490218163,
0.034594565629959106,
-0.023307595402002335,
-0.02490658313035965,
-0.0276342686265707,
-0.06843666732311249,
-0.028574848547577858,
0.08939281105995178,
0.03275102749466896,
0.05210818350315094,
-0.033503491431474686,
-0.00003832132642855868,
0.018952704966068268,
-0.015735918655991554,
-0.05970807746052742,
-0.0004552999453153461,
-0.005784572567790747,
0.0032732216641306877,
-0.0638466328382492,
-0.015971064567565918,
0.026129338890314102,
-0.0206175334751606,
0.052747778594493866,
-0.04398156329989433,
-0.05342499539256096,
0.0412350669503212,
-0.03846976161003113,
-0.0003535996365826577,
0.018520038574934006,
0.04518550634384155,
-0.01465425081551075,
0.011098855175077915,
0.0043055093847215176,
0.06599115580320358,
-0.02358976937830448,
-0.03045601025223732,
-0.008258300833404064,
0.00009508685616310686,
-0.004540654364973307,
-0.07088217884302139,
0.013384466990828514,
0.007265987806022167,
-0.016930457204580307,
0.018821025267243385,
-0.0037035373970866203,
0.02099376544356346,
-0.015924034640192986,
-0.011409246362745762,
-0.025527367368340492,
-0.008601612411439419,
-0.015011671930551529,
-0.03641929477453232,
0.051656704396009445,
0.03425595909357071,
0.005826898850500584,
-0.0206175334751606,
-0.051468588411808014,
0.026637252420186996,
0.033315375447273254,
0.004173827823251486,
-0.012340421788394451,
0.0037035373970866203,
-0.004004523158073425,
-0.018604690209031105,
-0.02170860767364502,
0.020241301506757736,
0.020523475483059883,
-0.003308493411168456,
0.009325860068202019,
-0.0036565084010362625,
-0.0058833337388932705,
-0.013224568217992783,
0.02569667063653469,
0.018087372183799744,
-0.05534378066658974,
0.019394779577851295,
0.04868447035551071,
-0.002204486634582281,
0.03384210169315338,
-0.048947833478450775,
-0.04838348180055618,
-0.021144259721040726,
-0.0206175334751606,
0.05782691389322281,
0.07961077243089676,
0.021614549681544304,
-0.002889934927225113,
-0.04108457639813423,
0.014795337803661823,
0.012688436545431614,
0.0206175334751606,
0.0012874201638624072,
-0.014879990369081497,
0.004082121420651674,
0.008977845311164856,
-0.02641151286661625,
0.016149774193763733,
0.02761545591056347,
0.01796509511768818,
-0.010167679749429226,
0.03425595909357071,
-0.03655097633600235,
-0.014268612489104271,
0.008065481670200825,
-0.04289048910140991,
-0.03387972339987755,
0.00870507676154375,
-0.004806368611752987,
-0.050753746181726456,
0.009866693988442421,
0.011127072386443615,
-0.007849147543311119,
-0.025414496660232544,
0.007091980427503586,
0.0351589135825634,
-0.0011816048063337803,
-0.006965001579374075,
-0.046953801065683365,
0.01842598058283329,
-0.020786838605999947,
-0.057074449956417084,
0.020335359498858452,
0.0031109715346246958,
-0.017626486718654633,
-0.04653994366526604,
-0.01566067337989807,
-0.03045601025223732,
-0.019451214000582695,
-0.01842598058283329,
0.011616174131631851,
-0.007468212395906448,
-0.009490462020039558,
0.03276984021067619,
-0.051468588411808014,
-0.029158009216189384,
0.02720160037279129,
-0.021257128566503525,
-0.048458728939294815,
0.018360139802098274,
-0.020278925076127052,
0.04541124776005745,
-0.04341721534729004,
-0.02443629316985607,
0.00571402907371521,
-0.021012578159570694,
-0.004463056568056345,
-0.049248818308115005,
0.002922855317592621,
0.04642707481980324,
0.0026406808756291866,
0.032167866826057434,
0.0026477354113012552,
0.0028146884869784117,
0.026938237249851227,
0.014174554497003555,
0.012707248330116272,
-0.027765948325395584,
0.028537224978208542,
-0.0003180339408572763,
0.02569667063653469,
-0.008620424196124077,
0.029891662299633026,
-0.013346843421459198,
0.04353008419275284,
0.013713669963181019,
0.023382842540740967,
-0.016366107389330864,
-0.030606502667069435,
-0.011277565732598305,
-0.0034096059389412403,
-0.011080043390393257,
-0.014334453269839287,
0.037115324288606644,
-0.005102651659399271,
-0.03632523491978645,
-0.0011351635912433267,
-0.005662297364324331,
0.0441320575773716,
-0.006616986822336912,
-0.010572129860520363,
-0.019451214000582695,
-0.023740261793136597,
0.010242925956845284,
-0.000027280520953354426,
0.04138556122779846,
0.0071107917465269566,
-0.007167226634919643,
-0.03743512183427811,
-0.010553318075835705,
-0.00008457880176138133,
0.04898545518517494,
-0.015152758918702602,
0.003832867369055748,
0.034105464816093445,
-0.04300336167216301,
0.0378301665186882,
0.03632523491978645,
-0.01886805333197117,
0.045862726867198944,
0.043943941593170166,
0.039654891937971115,
0.0005396583001129329,
0.012349827215075493,
0.001081080175936222,
-0.011522116139531136,
-0.02949661761522293,
-0.006612284108996391,
0.012980016879737377,
-0.0030028047040104866,
0.015190382488071918,
-0.02020367793738842,
0.021727420389652252,
0.024398669600486755,
0.022724434733390808,
0.021031389012932777,
0.0102805495262146,
0.0845770388841629,
-0.03722819313406944,
0.007322422694414854,
-0.004985078703612089,
0.006113776005804539,
0.006720450706779957,
-0.017918067052960396,
0.037416309118270874,
0.03474505990743637,
0.013647829182446003,
0.012801306322216988,
-0.020410606637597084,
-0.018576472997665405,
0.011597363278269768,
-0.007044950965791941,
-0.03792422264814377,
-0.028424356132745743,
-0.02485014870762825,
0.01332803163677454,
-0.02406005933880806,
0.002628923626616597,
-0.08292161673307419,
-0.006358326878398657,
0.035798508673906326,
0.0220095943659544,
-0.0030827540904283524,
0.044169679284095764,
-0.05000128224492073,
-0.013403277844190598,
0.04687855392694473,
-0.03562920540571213,
0.018962111324071884,
-0.026035280898213387,
0.020579909905791283,
0.005032108165323734,
0.03681433945894241,
-0.00795731507241726,
-0.006490008439868689,
-0.001728317467495799,
0.02906395122408867,
0.019582895562052727,
0.0102523323148489,
0.02750258706510067,
0.03134015575051308,
0.012453291565179825,
0.041159819811582565,
0.03688958287239075,
0.0046300096437335014,
-0.024379856884479523,
-0.008451119996607304,
0.04334196820855141,
0.02400362491607666,
0.002817039843648672,
0.022874929010868073,
-0.06313179433345795,
-0.030832242220640182,
-0.04168654605746269,
0.028311485424637794,
-0.00008935519144870341,
-0.014315641485154629,
-0.011268159374594688,
0.054365579038858414,
-0.01801212504506111,
0.017871037125587463,
-0.004611197859048843,
0.006960298866033554,
-0.013083480298519135,
0.03980538621544838,
-0.017861632630228996,
-0.0174948051571846,
-0.018623502925038338,
0.03256291151046753,
-0.01275427732616663,
0.05207056179642677,
0.024774901568889618,
-0.030418386682868004,
-0.0036541568115353584,
-0.022968987002968788,
0.0380559042096138,
0.026129338890314102,
-0.007952611893415451,
0.04202515631914139,
-0.017805196344852448,
0.005723434966057539,
-0.011860725469887257,
-0.015811165794730186,
-0.020843273028731346,
0.0013050560373812914,
0.013948814943432808,
0.011522116139531136,
-0.007491726893931627,
0.009866693988442421,
0.043868694454431534,
-0.02659962885081768,
0.008578098379075527,
0.04300336167216301,
-0.04198753088712692,
0.012829523533582687,
-0.011860725469887257,
0.014287424273788929,
-0.024285798892378807,
0.03743512183427811,
-0.008244192227721214,
0.0729890838265419,
0.00409387843683362,
0.0175794567912817,
0.015491368249058723,
0.005681108683347702,
0.028913456946611404,
-0.02285611629486084,
-0.0013379764277487993,
-0.03764205053448677,
0.004778150934726,
-0.020843273028731346,
0.026373889297246933,
0.02767189033329487,
0.008813243359327316,
-0.03371042013168335,
-0.005300173535943031,
-0.0020340061746537685,
-0.005441260524094105,
0.03576088696718216,
0.016930457204580307,
-0.025659047067165375,
0.01191716082394123,
0.052371546626091,
0.006395950447767973,
-0.026091715320944786,
0.026072902604937553,
-0.033070825040340424,
-0.045373622328042984,
0.002991047454997897,
0.022329391911625862,
-0.027239223942160606,
0.05079137161374092,
0.00208103540353477,
-0.005135572049766779,
-0.0018247270490974188,
-0.011870130896568298,
-0.016112150624394417,
0.0006613459554500878,
-0.004265534691512585,
0.034049030393362045,
-0.029628299176692963,
0.0005258435267023742,
-0.04398156329989433,
-0.04003112390637398,
0.039241038262844086,
0.02503826469182968,
-0.0036565084010362625,
0.0067815883085131645,
-0.03026789426803589,
-0.032355982810258865,
-0.025376873090863228,
0.00033772733877412975,
-0.008563989773392677,
-0.00892611313611269,
-0.010666187852621078,
0.001128697069361806,
0.02509469911456108,
0.0052954708226025105,
0.04823299124836922,
0.09157495945692062,
-0.007059060037136078,
0.02345808781683445,
-0.013563176617026329,
0.0006272498867474496,
0.042250894010066986,
-0.01555720902979374,
0.010929550044238567,
0.019263098016381264,
0.030625315383076668,
-0.0033696312457323074,
0.021125447005033493,
-0.021689796820282936,
-0.07535934448242188,
-0.01664828322827816,
0.006527631543576717,
0.017203224822878838,
0.024868959560990334,
-0.006080855615437031,
-0.008239489048719406,
0.0117572620511055,
0.022686811164021492,
-0.025057075545191765,
-0.005347202531993389,
0.0499260351061821,
0.024022437632083893,
0.04939930886030197,
-0.00932115688920021,
-0.01845419779419899,
0.029289690777659416,
-0.0031509462278336287,
0.002405535662546754,
-0.00889789592474699,
0.01402406208217144,
-0.04108457639813423,
-0.016902239993214607,
-0.018219051882624626,
-0.05097948759794235,
-0.018529444932937622,
0.015980470925569534,
0.02966592274606228,
-0.040444981306791306,
0.05602100118994713,
-0.022235333919525146,
0.02411649562418461,
0.030982736498117447,
-0.013083480298519135,
0.0038822477217763662,
-0.02121950499713421,
-0.007200147025287151,
-0.006297189276665449,
0.007788009941577911,
-0.03348468244075775,
0.01785222627222538,
-0.027333281934261322,
-0.014560192823410034,
-0.004999187774956226,
0.006720450706779957,
-0.03540346771478653,
0.0032661673612892628,
0.005624673794955015,
-0.03743512183427811,
-0.01623442769050598,
0.07272572070360184,
0.027295658364892006,
-0.060648657381534576,
0.010844898410141468,
0.010901332832872868,
0.01634729653596878,
-0.021501680836081505,
0.002732387511059642,
0.013422089628875256,
0.009612737223505974,
0.012707248330116272,
0.021087825298309326,
-0.014033467508852482,
0.00587863102555275,
0.03310845047235489,
-0.014908207580447197,
-0.026449136435985565,
0.022649189457297325,
0.023533334955573082,
-0.02466203272342682,
0.061852600425481796,
0.019037358462810516,
-0.04597559571266174,
-0.04322909936308861,
0.04070834442973137,
-0.028443166986107826,
0.007985532283782959,
-0.012302798219025135,
-0.005920956842601299,
0.022837305441498756,
-0.029628299176692963,
0.03427476808428764,
0.00020972015045117587,
-0.022517507895827293,
-0.00646649394184351,
-0.007331828586757183,
-0.015077512711286545,
0.026261020451784134,
0.013741887174546719,
0.03991825506091118,
0.04447066783905029,
0.012199334800243378,
0.02184028923511505,
-0.04638945311307907,
-0.05203293636441231,
0.04036973416805267,
-0.03425595909357071,
-0.041648924350738525,
-0.016366107389330864,
-0.027784761041402817,
-0.021877912804484367,
-0.023326406255364418,
0.027728326618671417,
0.05613387003540993,
-0.01393000315874815,
-0.0014214529655873775,
-0.01345030777156353,
-0.02326997183263302,
0.015303251333534718,
-0.015340874902904034,
0.006885052192956209,
-0.015895817428827286,
-0.0014038170920684934,
-0.022818492725491524,
-0.007910286076366901,
0.070204958319664,
-0.006917972583323717,
0.037848975509405136,
-0.004404270090162754,
-0.015726512297987938,
-0.04800724983215332,
0.03408665210008621,
-0.034763872623443604,
-0.025583801791071892,
-0.029759980738162994,
0.021388810127973557,
-0.012274581007659435,
0.012434479780495167,
0.043454840779304504,
0.03218667954206467,
-0.0005752240540459752,
0.03683314844965935,
-0.05730019137263298,
-0.03882718086242676,
-0.045373622328042984,
0.017269065603613853,
0.01643194817006588,
-0.05910610407590866,
-0.015924034640192986,
-0.0017001000232994556,
-0.010816680267453194,
-0.03559158369898796,
0.0033531710505485535,
0.009772635996341705,
0.016902239993214607,
0.009053091518580914,
-0.027521397918462753,
-0.0007083750097081065,
0.006278377491980791,
-0.04988841339945793,
-0.023608582094311714,
0.004131501540541649,
0.001916433684527874,
0.0006660488434135914,
0.042664751410484314,
0.019263098016381264,
-0.0016424894565716386,
0.0012168765533715487,
-0.021313562989234924,
0.027577832341194153,
0.024078872054815292,
-0.018792806193232536,
0.02274324744939804,
0.004756988026201725,
-0.03641929477453232,
0.026524381712079048,
-0.0071437121368944645,
-0.0016883427742868662,
0.03547871112823486,
-0.005525913089513779,
0.0020504663698375225,
0.015265628695487976,
0.015491368249058723,
0.01312110386788845,
-0.01312110386788845,
-0.010515694506466389,
0.03577969968318939,
-0.05000128224492073,
0.0761118084192276,
-0.018002718687057495
] |
Conformation Generation is a fundamental problem in drug discovery and
cheminformatics. And organic molecule conformation generation, particularly in
vacuum and protein pocket environments, is most relevant to drug design.
Recently, with the development of geometric neural networks, the data-driven
schemes have been successfully applied in this field, both for molecular
conformation generation (in vacuum) and binding pose generation (in protein
pocket). The former beats the traditional ETKDG method, while the latter
achieves similar accuracy compared with the widely used molecular docking
software. Although these methods have shown promising results, some researchers
have recently questioned whether deep learning (DL) methods perform better in
molecular conformation generation via a parameter-free method. To our surprise,
what they have designed is some kind analogous to the famous infinite monkey
theorem, the monkeys that are even equipped with physics education. To discuss
the feasibility of their proving, we constructed a real infinite stochastic
monkey for molecular conformation generation, showing that even with a more
stochastic sampler for geometry generation, the coverage of the benchmark
QM-computed conformations are higher than those of most DL-based methods. By
extending their physical monkey algorithm for binding pose prediction, we also
discover that the successful docking rate also achieves near-best performance
among existing DL-based docking models. Thus, though their conclusions are
right, their proof process needs more concern. | [
-0.025242144241929054,
-0.002071848139166832,
-0.035244524478912354,
-0.05611191317439079,
0.010053726844489574,
-0.009201367385685444,
-0.014592793770134449,
0.02222294546663761,
-0.027645180001854897,
0.00981239601969719,
-0.004562173504382372,
-0.06790116429328918,
0.0069010257720947266,
-0.03378627076745033,
-0.009740510024130344,
0.01507545541971922,
-0.016256434842944145,
-0.013309121131896973,
-0.028774812817573547,
-0.03409435227513313,
0.018875127658247948,
-0.047403473407030106,
-0.02080577053129673,
0.04003005847334862,
0.06095905974507332,
0.03146539255976677,
0.03269771859049797,
-0.023126652464270592,
-0.038489650934934616,
0.08215507119894028,
0.0416526198387146,
0.03910581395030022,
0.03165024146437645,
0.016276972368359566,
-0.05311325192451477,
0.03045899234712124,
0.011943292804062366,
0.028179189190268517,
-0.04477451369166374,
0.02038472704589367,
0.03797617927193642,
-0.02974013425409794,
0.02068253792822361,
-0.008313066326081753,
0.002508296864107251,
-0.018269233405590057,
-0.01989179663360119,
-0.035326678305864334,
0.012374606914818287,
0.009006249718368053,
0.004962679464370012,
0.014849528670310974,
0.057631779462099075,
-0.010772583074867725,
-0.05923380330204964,
0.04407619312405586,
0.005198875442147255,
-0.013832859694957733,
0.07315909117460251,
0.013473431579768658,
0.04076945409178734,
-0.03191724419593811,
-0.07361093908548355,
0.0024685030803084373,
-0.03282095119357109,
-0.04214555025100708,
0.003301606746390462,
-0.04953950643539429,
0.05459204316139221,
0.025632381439208984,
-0.06050720810890198,
0.017611993476748466,
-0.002119343960657716,
-0.026679858565330505,
0.01937832683324814,
-0.024975141510367393,
0.046746235340833664,
0.06670991331338882,
0.0443226583302021,
0.005468446761369705,
-0.003350386396050453,
0.03329334035515785,
0.015866197645664215,
-0.017201216891407967,
0.11674235016107559,
0.004821475595235825,
0.016821250319480896,
-0.046171147376298904,
-0.012200027704238892,
-0.008436298929154873,
-0.04095430299639702,
0.01999448984861374,
-0.03321118652820587,
-0.025180527940392494,
0.014428484253585339,
0.006372152362018824,
-0.004269496072083712,
0.014490100555121899,
-0.05097721889615059,
0.023557966575026512,
0.012970231473445892,
-0.013124272227287292,
0.02083657868206501,
0.07048904895782471,
-0.035799071192741394,
-0.0223667174577713,
0.015681348741054535,
0.024728676304221153,
-0.0151062635704875,
0.17794787883758545,
-0.03432027995586395,
-0.02031284011900425,
0.016153739765286446,
0.04415835067629814,
-0.07426818460226059,
-0.018587583675980568,
-0.0870022177696228,
-0.04978597164154053,
-0.017447682097554207,
-0.0791974887251854,
-0.024687597528100014,
-0.008138486184179783,
-0.0449388213455677,
0.0067931972444057465,
-0.028199726715683937,
0.06675099581480026,
-0.056769151240587234,
-0.02138085663318634,
0.0018947012722492218,
-0.00021148512314539403,
-0.05105937644839287,
-0.013699357397854328,
0.017622262239456177,
-0.036723315715789795,
0.012918884865939617,
-0.0028651580214500427,
0.008410625159740448,
-0.02967851795256138,
-0.0407283753156662,
0.013915014453232288,
-0.048225026577711105,
-0.0443226583302021,
-0.011286052875220776,
0.009637816809117794,
0.011912484653294086,
0.03337549790740013,
-0.06827086210250854,
0.0849483385682106,
-0.006972911302000284,
-0.017971420660614967,
-0.06847625225782394,
-0.008128217421472073,
-0.0005818247445859015,
-0.007758519146591425,
0.014469561167061329,
-0.010526117868721485,
0.009761049412190914,
-0.036189306527376175,
0.048225026577711105,
-0.0426795594394207,
0.05381156876683235,
-0.02242833375930786,
0.02214079163968563,
0.013247504830360413,
-0.003067978424951434,
0.07250184565782547,
0.01519868802279234,
-0.002508296864107251,
-0.03050006926059723,
0.04925196245312691,
0.03175293281674385,
-0.0018715951591730118,
0.02992498315870762,
0.0013517076149582863,
-0.023373117670416832,
0.005488985683768988,
-0.02025122381746769,
-0.023188268765807152,
0.0424741692841053,
0.002960149897262454,
-0.0437064953148365,
0.01533218938857317,
0.07476111501455307,
0.047403473407030106,
0.04272063449025154,
0.07036581635475159,
0.06038397550582886,
-0.002020501298829913,
0.02115493081510067,
0.010115343146026134,
0.02052849717438221,
0.026987940073013306,
0.027604103088378906,
-0.010854738764464855,
0.04863579943776131,
-0.05068967863917351,
-0.04230986163020134,
0.0062797279097139835,
-0.04395296052098274,
0.024872446432709694,
-0.03458728268742561,
-0.04202231764793396,
0.03189670667052269,
-0.024872446432709694,
0.026987940073013306,
0.011142280884087086,
-0.02011772245168686,
0.0018561910837888718,
0.027234405279159546,
-0.024810830131173134,
-0.008277122862637043,
-0.03023306466639042,
-0.05516712740063667,
-0.08733084052801132,
-0.04362434148788452,
-0.03029468096792698,
-0.028528347611427307,
0.009879146702587605,
-0.018074115738272667,
-0.038674499839544296,
-0.05147014930844307,
-0.0007631435873918235,
0.11304537206888199,
-0.045719295740127563,
0.018813511356711388,
0.002988390624523163,
0.02214079163968563,
0.038612883538007736,
0.014685218222439289,
0.0024685030803084373,
0.009565930813550949,
0.026412853971123695,
0.004426104482263327,
0.014377136714756489,
-0.01081366091966629,
-0.012333530001342297,
0.0017599156126379967,
-0.02994552254676819,
-0.04284386709332466,
0.03972197696566582,
0.003309308784082532,
-0.007650690618902445,
-0.04506205394864082,
-0.028302421793341637,
0.06560081988573074,
0.035018596798181534,
-0.009478640742599964,
0.04444589093327522,
0.036333080381155014,
0.0062643238343298435,
-0.023455271497368813,
-0.02992498315870762,
0.01998422108590603,
0.011871407739818096,
-0.02212025225162506,
-0.009350273758172989,
0.01934751868247986,
-0.03117784857749939,
-0.02166839875280857,
-0.03284148871898651,
0.036168769001960754,
-0.009422159753739834,
0.013689088635146618,
0.017991960048675537,
-0.0024993112310767174,
-0.014798182062804699,
0.048471491783857346,
0.013596664182841778,
-0.01035153865814209,
0.023414194583892822,
-0.018659470602869987,
-0.058494407683610916,
-0.0034659169614315033,
0.018115192651748657,
-0.010171824134886265,
-0.08470187336206436,
0.03191724419593811,
-0.018484890460968018,
0.10828038305044174,
-0.026248544454574585,
0.013812321238219738,
-0.01093689352273941,
-0.008518453687429428,
0.014356598258018494,
-0.0023208807688206434,
-0.025201067328453064,
-0.04888226464390755,
-0.02168893814086914,
-0.06613483279943466,
0.0211343914270401,
-0.012826460413634777,
0.00962754711508751,
-0.047444552183151245,
0.026269083842635155,
-0.0013709627091884613,
-0.004058973863720894,
-0.0058381445705890656,
0.012528647668659687,
-0.02232564054429531,
-0.007989580743014812,
-0.06707961112260818,
0.0027650315314531326,
0.02038472704589367,
0.029370436444878578,
0.011809791438281536,
0.003067978424951434,
-0.014171749353408813,
0.07110521197319031,
-0.0307259950786829,
0.02177109383046627,
0.0637112557888031,
0.013781513087451458,
-0.000032713604014134035,
-0.01536299753934145,
0.00014593756350222975,
0.006890756543725729,
0.07163921743631363,
-0.06560081988573074,
-0.013114002533257008,
-0.03218424692749977,
-0.01483925897628069,
-0.0005763691733591259,
-0.08519480377435684,
-0.04202231764793396,
0.015938082709908485,
0.04243309423327446,
0.023845508694648743,
-0.0021899461280554533,
-0.06239677593111992,
0.011974100954830647,
-0.025673458352684975,
-0.03968089818954468,
-0.06297186017036438,
-0.025755614042282104,
-0.0620681531727314,
-0.046458691358566284,
-0.0637112557888031,
0.017283372581005096,
-0.03191724419593811,
0.004960112273693085,
-0.007743115071207285,
0.04128292202949524,
-0.02000475861132145,
-0.0057765282690525055,
0.013298851437866688,
-0.06872271746397018,
-0.004467181861400604,
0.012025448493659496,
0.025324299931526184,
-0.016615862026810646,
0.0013465728843584657,
-0.0409337617456913,
-0.04191962257027626,
0.0012920168228447437,
0.004677704069763422,
-0.04101591929793358,
-0.0152603043243289,
-0.04163208231329918,
-0.024667060002684593,
0.05520820617675781,
-0.037750255316495895,
-0.08601635694503784,
0.01554784644395113,
0.005126989912241697,
-0.03351926803588867,
0.006105148699134588,
-0.026823630556464195,
-0.019029168412089348,
0.013155080378055573,
0.02992498315870762,
0.0026392315048724413,
0.02220240794122219,
0.001572499400936067,
0.02214079163968563,
0.04387080669403076,
0.0006463293102569878,
-0.0025570765137672424,
0.03269771859049797,
-0.026310160756111145,
0.03485428914427757,
0.025961002334952354,
0.018823780119419098,
0.02094954252243042,
-0.002066713524982333,
0.001685462542809546,
0.028117572888731956,
0.015876466408371925,
-0.015157610177993774,
0.005894626025110483,
0.03393004462122917,
-0.026556625962257385,
-0.04489774629473686,
-0.036476850509643555,
-0.013185888528823853,
-0.0015134504064917564,
-0.06654560565948486,
0.036209847778081894,
0.02060038410127163,
0.023229345679283142,
0.0016456687590107322,
-0.012035717256367207,
0.0041385614313185215,
-0.06560081988573074,
-0.025221606716513634,
0.004254091996699572,
0.0051860385574400425,
-0.00769176846370101,
-0.05060752108693123,
0.002937043784186244,
0.013986900448799133,
0.005617352668195963,
-0.0381610281765461,
0.004277198109775782,
-0.010700698010623455,
0.04313141107559204,
-0.006135956849902868,
-0.045924682170152664,
-0.0004277840198483318,
0.006223246455192566,
-0.028815889731049538,
0.016389936208724976,
-0.03565530106425285,
0.03206101432442665,
0.0018780134851112962,
-0.023085573688149452,
0.04888226464390755,
0.028076494112610817,
-0.0039023656863719225,
-0.03454620763659477,
-0.058042556047439575,
0.029103433713316917,
0.0622735433280468,
0.014469561167061329,
-0.02253102697432041,
-0.05192200466990471,
-0.03438189625740051,
-0.01124497503042221,
-0.003142431378364563,
-0.017899535596370697,
0.03275933489203453,
0.02263372205197811,
0.027768412604928017,
-0.03317010775208473,
-0.048060715198516846,
-0.004205312579870224,
-0.01121416687965393,
-0.06264323741197586,
-0.013360467739403248,
-0.04204285517334938,
-0.01931671053171158,
0.0023876316845417023,
0.01496249157935381,
-0.11698881536722183,
-0.012734035961329937,
0.05393480136990547,
-0.008143621496856213,
-0.006608348339796066,
-0.013966361992061138,
0.024379516020417213,
-0.0651489719748497,
0.05623514577746391,
0.02255156636238098,
0.02105223573744297,
-0.018967552110552788,
0.05233277752995491,
-0.005119287874549627,
0.0006912578828632832,
-0.023393655195832253,
0.011173089034855366,
-0.026618242263793945,
0.025077834725379944,
-0.017714686691761017,
-0.02041553519666195,
-0.02191486395895481,
0.005509524140506983,
-0.048923343420028687,
-0.0013138392241671681,
-0.06054828688502312,
0.018597854301333427,
0.04171423614025116,
-0.0013440055772662163,
0.0037945371586829424,
-0.01053638756275177,
0.03058222495019436,
-0.05508497357368469,
-0.003204047679901123,
0.027604103088378906,
-0.009401620365679264,
0.03050006926059723,
0.014089594595134258,
0.007547996938228607,
0.057672858238220215,
-0.06358802318572998,
0.02029230259358883,
0.02168893814086914,
-0.03378627076745033,
0.04017382860183716,
-0.03070545755326748,
0.07065335661172867,
0.05171661451458931,
0.02085711807012558,
-0.10121504217386246,
-0.004515961278229952,
0.010079399682581425,
0.024358978495001793,
0.0439118854701519,
0.05225062370300293,
0.028774812817573547,
0.02203809656202793,
0.0021745420526713133,
0.0009300210513174534,
-0.004890793934464455,
-0.06161630153656006,
-0.011748175136744976,
0.013350198976695538,
0.026844168081879616,
-0.019090784713625908,
0.0011745607480406761,
0.005268193781375885,
0.04522636532783508,
0.01544515322893858,
0.0004897212493233383,
-0.012836729176342487,
0.014151210896670818,
0.011111472733318806,
0.018330849707126617,
0.023496350273489952,
-0.02111385203897953,
0.0214424729347229,
-0.017899535596370697,
-0.012569725513458252,
0.018587583675980568,
0.014253904111683369,
-0.026002079248428345,
-0.008651955984532833,
-0.011676289141178131,
-0.006454307585954666,
0.03540883585810661,
-0.015712156891822815,
-0.0002334680175408721,
0.024625981226563454,
0.05911057069897652,
-0.04999135807156563,
0.013391275890171528,
0.006485115736722946,
0.00038670646608807147,
0.01995341293513775,
-0.05323648452758789,
0.008379817008972168,
-0.004451777786016464,
0.0047136470675468445,
-0.003984520677477121,
0.0052553568966686726,
-0.01533218938857317,
-0.007876616902649403,
-0.028466731309890747,
-0.011388746090233326,
-0.04547283053398132,
-0.008616012521088123,
-0.027439793571829796,
-0.026967400684952736,
0.03068491816520691,
-0.01487006712704897,
-0.029370436444878578,
-0.005345214158296585,
-0.03998897969722748,
0.03978359326720238,
0.005920299794524908,
0.024256283417344093,
0.024050896987318993,
0.009006249718368053,
-0.028035417199134827,
-0.02129870094358921,
0.013524778187274933,
0.028856968507170677,
0.04087214544415474,
0.026330700144171715,
-0.0034761864226311445,
0.017355257645249367,
0.01522949617356062,
0.0426795594394207,
-0.04263848066329956,
-0.015825120732188225,
-0.0226747989654541,
-0.0005224549095146358,
0.0013363035395741463,
0.017344988882541656,
-0.03043845295906067,
-0.013935553841292858,
0.0017214054241776466,
-0.03450512886047363,
0.06457388401031494,
-0.018813511356711388,
0.008862477727234364,
0.022777492180466652,
-0.00770717253908515,
0.014274443499743938,
0.023742815479636192,
-0.008749514818191528,
-0.07094090431928635,
-0.02138085663318634,
-0.0022323073353618383,
0.009370812214910984,
-0.0036430638283491135,
-0.037380557507276535,
0.05389372631907463,
-0.0035069945733994246,
0.02168893814086914,
-0.011542786844074726,
0.003083382500335574,
-0.017262833192944527,
0.016759634017944336,
-0.0057149119675159454,
-0.0197480246424675,
0.00993562862277031,
-0.036620620638132095,
0.0007625017315149307,
0.0008510751649737358,
-0.027090633288025856,
-0.0034607823472470045,
0.017961151897907257,
-0.03296472132205963,
0.008282258175313473,
0.0152603043243289,
0.027234405279159546,
0.07246077060699463,
-0.024523288011550903,
-0.016739094629883766,
-0.023208806291222572,
-0.02133977971971035,
-0.027316560968756676,
0.0009409322519786656,
-0.045678216964006424,
-0.012980501167476177,
0.057056695222854614,
-0.016472091898322105,
-0.06724392622709274,
0.016934214159846306,
0.001159156672656536,
0.04280279204249382,
-0.016934214159846306,
0.0307259950786829,
-0.005612218286842108,
-0.0028163783717900515,
-0.003324712859466672,
0.010053726844489574,
0.016790442168712616,
0.017242295667529106,
0.08018334954977036,
-0.004308006260544062,
0.029226666316390038,
-0.011984370648860931,
-0.01958371512591839,
0.03027414344251156,
-0.01033613458275795,
-0.006551866885274649,
0.0385718047618866,
0.006890756543725729,
0.016728825867176056,
0.01980964094400406,
0.002972986549139023,
0.03039737604558468,
-0.03380681201815605,
0.003776565892621875,
0.009879146702587605,
0.0036815740168094635,
0.0068548135459423065,
0.013144810684025288,
0.013935553841292858,
0.025735074654221535,
0.0015327055007219315,
-0.047485630959272385,
-0.07328232377767563,
0.0015057483687996864,
0.02049768902361393,
-0.0424741692841053,
0.017057446762919426,
0.027439793571829796,
0.009581334888935089,
-0.025714537128806114,
-0.023948201909661293,
0.025591304525732994,
-0.0025557929184287786,
0.004446642939001322,
-0.014171749353408813,
-0.0015121666947379708,
-0.04510313272476196,
-0.002248995006084442,
0.009458102285861969,
0.008338739164173603,
-0.002446680562570691,
-0.03086976706981659,
-0.012610803358256817,
0.0027855702210217714,
0.01978910155594349,
0.03497752174735069,
-0.03419704735279083,
-0.03160916268825531,
0.005504389759153128,
-0.009206502698361874,
-0.008862477727234364,
0.012138411402702332,
0.0026520683895796537,
-0.007219376508146524,
-0.007173164281994104,
-0.00017698640294838697,
0.018156269565224648,
0.016841789707541466,
-0.028877506032586098,
-0.006197573151439428,
0.028774812817573547,
0.06486142426729202,
-0.058658719062805176,
0.04230986163020134,
-0.018885396420955658,
0.001635399297811091,
-0.002806109143421054,
-0.017139600589871407,
-0.0151062635704875,
0.02077496238052845,
-0.024317899718880653,
-0.0029242068994790316,
0.02071334607899189,
-0.07550051063299179,
0.03249232843518257,
0.010156420059502125,
0.035511527210474014,
-0.004397863522171974,
-0.02242833375930786,
-0.0047136470675468445,
-0.018762163817882538,
-0.023948201909661293,
-0.028507808223366737,
0.025693997740745544,
-0.013535047881305218,
0.006156495306640863,
-0.035634759813547134,
0.03054114617407322,
-0.016410475596785545,
0.001028222031891346,
0.005001189652830362,
0.010279652662575245,
0.06519004702568054,
-0.01557865459471941,
-0.011563326232135296,
-0.016739094629883766,
0.001793291070498526,
0.02150408923625946,
-0.017273103818297386,
0.0015737829962745309,
0.04448696970939636,
-0.013535047881305218,
0.03068491816520691,
-0.000305353692965582,
-0.04204285517334938,
0.01953236758708954,
0.035696376115083694,
0.029370436444878578,
-0.009411890059709549,
-0.016749365255236626,
-0.004058973863720894,
0.004616087768226862,
0.023352578282356262,
0.015250034630298615,
0.007948502898216248,
-0.024174129590392113,
-0.017704417929053307,
-0.00978158786892891,
0.009391351602971554,
-0.002218186855316162,
0.058576565235853195,
-0.012898345477879047,
0.056892383843660355,
-0.005725181195884943,
0.007840674370527267,
-0.008913825266063213,
-0.036209847778081894,
-0.0027008478064090014,
0.001414607628248632,
0.05952134728431702,
-0.047362398356199265,
-0.023722276091575623,
0.02168893814086914,
0.03156808391213417,
0.0020269195083528757,
-0.002721386728808284,
0.028220266103744507,
-0.006947237998247147,
0.004364488180726767,
-0.009247579611837864,
-0.0010481189237907529,
-0.002546807052567601,
-0.006325940135866404,
-0.010895815677940845,
0.02207917533814907,
0.026104772463440895,
0.008518453687429428,
0.013422084040939808,
-0.035757992416620255,
-0.03442297503352165,
0.008960037492215633,
0.003799672005698085,
-0.011316861025989056,
0.05163446068763733,
-0.015814850106835365,
-0.03353980556130409,
0.004952410236001015,
-0.013432353734970093,
0.028651580214500427,
0.028240805491805077,
-0.001163007691502571,
0.02105223573744297,
0.04074891284108162,
0.05245601013302803,
0.029000738635659218,
-0.0025994377210736275,
0.007065335754305124,
0.03039737604558468,
-0.005370887462049723,
0.0037508923560380936,
-0.009098674170672894,
-0.0073836869560182095,
0.0008690466056577861,
-0.0034838884603232145,
0.003971684258431196,
-0.027439793571829796,
0.05319540575146675,
0.008287392556667328,
0.048389334231615067,
-0.011491440236568451,
0.012107603251934052,
-0.006438903510570526,
-0.046294379979372025,
0.03019198775291443,
-0.04179638996720314,
0.027337098494172096,
0.026125311851501465,
-0.012805921025574207,
-0.0007451721467077732,
0.028343498706817627,
-0.05553682520985603,
0.007902290672063828,
-0.012744304724037647,
0.009786722250282764,
-0.011388746090233326,
0.02279803156852722,
0.010125611908733845,
-0.005981916096061468,
-0.02294180355966091,
0.02257210575044155,
0.029699057340621948,
-0.025919923558831215,
0.012158949859440327,
0.027193328365683556,
-0.02168893814086914,
-0.00975077971816063,
0.028405115008354187,
0.027029016986489296,
-0.024564364925026894,
-0.00012275122571736574,
0.017375797033309937,
0.027398714795708656,
0.011481170542538166,
-0.06395772099494934,
0.025385916233062744,
-0.017057446762919426,
-0.01922428607940674,
-0.05241493508219719,
0.014038247056305408,
-0.048389334231615067,
0.011203897185623646,
-0.0028343498706817627,
-0.025159990414977074,
0.01935778744518757,
0.0004159100353717804,
-0.013216696679592133,
-0.002010231837630272,
-0.009961302392184734,
-0.029452592134475708,
-0.014520908705890179,
0.008374682627618313,
0.0013061371864750981,
-0.0017830217257142067,
-0.01493168342858553,
0.056645918637514114,
-0.02071334607899189,
-0.0020692807156592607,
-0.06634021550416946,
-0.04054352641105652,
-0.04027652367949486,
-0.02030257135629654,
0.0223667174577713,
-0.0641220286488533,
0.004277198109775782,
0.017180679365992546,
0.03803779557347298,
0.008610878139734268,
0.012148681096732616,
0.010392616502940655,
0.035449910908937454,
-0.003943443298339844,
-0.0416526198387146,
-0.0443226583302021,
-0.018248694017529488,
-0.011912484653294086,
-0.024441132321953773,
0.00981239601969719,
-0.04559606313705444,
0.04916980862617493,
0.004148831125348806,
-0.023455271497368813,
-0.005049969535320997,
-0.002821513218805194,
0.004159100353717804,
-0.01496249157935381,
0.06506681442260742,
0.01978910155594349,
0.008133351802825928,
0.03302633762359619,
-0.036148231476545334,
-0.015917545184493065,
-0.016995830461382866,
-0.02069280855357647,
-0.01551703829318285,
-0.04588360711932182,
-0.009791857562959194,
-0.03922904655337334,
0.03045899234712124,
-0.026577165350317955,
0.028384575620293617,
-0.005920299794524908,
0.026782551780343056,
0.06342371553182602,
0.0006238650530576706,
0.048389334231615067,
-0.04974489286541939,
-0.06625806540250778,
0.025016218423843384,
0.04382972791790962,
0.011460632085800171,
-0.018084384500980377,
0.0217505544424057,
0.023332038894295692,
0.013155080378055573,
-0.0015596626326441765,
0.008641686290502548,
0.035490989685058594,
0.04027652367949486,
-0.025303760543465614,
-0.0011822627857327461,
0.0037945371586829424,
-0.011645480990409851,
0.0074915154837071896,
-0.017889266833662987,
0.01560946274548769,
0.01560946274548769,
-0.016420744359493256,
0.005016593728214502,
0.007049931678920984,
0.03395058214664459,
-0.005360618233680725,
0.04325464367866516,
-0.027070095762610435,
-0.016882866621017456,
0.0043259779922664165,
0.02119600772857666,
-0.01991233415901661,
-0.00022672873456031084,
-0.03834587708115578,
0.015465691685676575,
-0.028713196516036987,
-0.02164786122739315,
0.010038322769105434,
0.03317010775208473,
-0.0009710986050777137,
-0.010038322769105434,
-0.01093689352273941,
-0.026166388764977455,
-0.010988240130245686,
0.023373117670416832,
0.025611842051148415,
-0.008194968104362488,
-0.04937519505620003,
-0.010079399682581425,
-0.019193477928638458,
-0.03791456297039986,
-0.007132086902856827,
-0.029966061934828758,
-0.04539067670702934,
0.002998660085722804,
0.018012499436736107,
-0.023414194583892822,
0.0013427218655124307,
-0.037298399955034256,
-0.000571876298636198,
0.00047784726484678686,
0.02185324765741825,
-0.0154143450781703,
0.003907500300556421,
0.009745645336806774,
0.007024258375167847,
-0.029575824737548828,
-0.007091009523719549,
0.05208631232380867,
0.07611667364835739,
-0.010710966773331165,
0.06223246455192566,
0.013103733770549297,
0.02168893814086914,
0.03458728268742561,
-0.009155155159533024,
-0.03107515536248684,
-0.015886737033724785,
0.03317010775208473,
0.0018176808953285217,
0.003309308784082532,
-0.046088993549346924,
0.03119838796555996,
0.012220566160976887,
0.005689238663762808,
0.03317010775208473,
-0.038243185728788376,
-0.017160139977931976,
-0.01922428607940674
] |
It is widely acknowledged that large models have the potential to deliver
superior performance across a broad range of domains. Despite the remarkable
progress made in the field of machine learning systems research, which has
enabled the development and exploration of large models, such abilities remain
confined to a small group of advanced users and industry leaders, resulting in
an implicit technical barrier for the wider community to access and leverage
these technologies. In this paper, we introduce PyTorch Fully Sharded Data
Parallel (FSDP) as an industry-grade solution for large model training. FSDP
has been closely co-designed with several key PyTorch core components including
Tensor implementation, dispatcher system, and CUDA memory caching allocator, to
provide non-intrusive user experiences and high training efficiency.
Additionally, FSDP natively incorporates a range of techniques and settings to
optimize resource utilization across a variety of hardware configurations. The
experimental results demonstrate that FSDP is capable of achieving comparable
performance to Distributed Data Parallel while providing support for
significantly larger models with near-linear scalability in terms of TFLOPS. | [
-0.027255751192569733,
0.021778158843517303,
-0.02340254746377468,
0.009042751975357533,
0.027274640277028084,
-0.03875869885087013,
-0.028351271525025368,
0.05855359137058258,
-0.019511567428708076,
0.06187792494893074,
0.031486719846725464,
-0.008013342507183552,
0.06100906431674957,
-0.0409119613468647,
-0.013996196910738945,
0.08189947158098221,
-0.02315700054168701,
-0.021815935149788857,
-0.02223147638142109,
-0.04567180201411247,
0.039703112095594406,
0.009812448173761368,
-0.02823794074356556,
-0.03698320314288139,
0.035472143441438675,
0.059384673833847046,
-0.010822970420122147,
0.01599835231900215,
-0.013627875596284866,
0.02147594653069973,
-0.006790327839553356,
0.018453825265169144,
0.011484059505164623,
-0.01419452391564846,
-0.006067852023988962,
-0.013958420604467392,
0.07604411244392395,
0.0010689571499824524,
-0.002201662166044116,
0.011975153349339962,
-0.03042897954583168,
0.0037233473267406225,
-0.035849906504154205,
0.02670799195766449,
0.04317855089902878,
0.005723141133785248,
-0.02852126583456993,
0.018586043268442154,
0.0086366543546319,
-0.003746957518160343,
0.010662419721484184,
-0.010275211185216904,
-0.0002952765498775989,
-0.0010406248038634658,
-0.028710147365927696,
-0.004563874565064907,
0.02736908197402954,
0.057193636894226074,
0.03681321069598198,
0.0030126767233014107,
-0.020285986363887787,
-0.03921201825141907,
0.0008299027103930712,
0.013155669905245304,
-0.04038308933377266,
0.021381504833698273,
-0.02021043375134468,
0.02481916733086109,
0.0008145559695549309,
-0.033696647733449936,
-0.026537997648119926,
0.02083374559879303,
-0.01170127373188734,
0.01059631071984768,
0.03902313485741615,
0.0034589117858558893,
0.07781960815191269,
0.0075600240379571915,
0.02480027824640274,
-0.01879381388425827,
0.0159605760127306,
-0.01430785283446312,
-0.03346998617053032,
0.01598890870809555,
0.06082018092274666,
0.039703112095594406,
-0.05896913260221481,
-0.045180704444646835,
0.011436838656663895,
-0.03592546284198761,
-0.03719097375869751,
0.009411073289811611,
0.0319211520254612,
-0.011569056659936905,
0.010841858573257923,
0.04661621153354645,
-0.030901184305548668,
-0.02070152759552002,
-0.009878557175397873,
0.008934144861996174,
-0.04975166544318199,
0.07079318165779114,
0.0159794632345438,
-0.010416872799396515,
-0.0011822867672890425,
-0.0472584143280983,
-0.008693319745361805,
0.05020498111844063,
0.01878437027335167,
0.10705862939357758,
-0.014770615845918655,
-0.01611168123781681,
-0.039438676089048386,
0.05904468521475792,
-0.005973410792648792,
0.038399823009967804,
-0.01430785283446312,
-0.03479216620326042,
0.01779273711144924,
-0.04193192720413208,
0.0511116199195385,
0.016253342851996422,
-0.020361538976430893,
0.03143005818128586,
-0.04461405798792839,
0.029106801375746727,
0.004174304194748402,
0.0021756908390671015,
0.004374992102384567,
-0.030825631693005562,
-0.03936312347650528,
0.015290042385458946,
-0.036492109298706055,
-0.03224224969744682,
-0.027312416583299637,
0.003647794248536229,
0.019983774051070213,
0.020134879276156425,
-0.02531026117503643,
0.02763351798057556,
-0.004745673853904009,
-0.005307599436491728,
0.015308930538594723,
-0.007101983763277531,
0.004190831445157528,
0.036246560513973236,
-0.02799239382147789,
0.04827838018536568,
0.03027787245810032,
0.046842873096466064,
-0.006525892298668623,
0.053378209471702576,
0.006318121217191219,
-0.016253342851996422,
-0.0022795763798058033,
-0.012456804513931274,
0.006507003679871559,
0.052736006677150726,
-0.01381675899028778,
0.0035651582293212414,
0.044538505375385284,
0.005912023596465588,
0.039665333926677704,
0.038418710231781006,
0.014326740987598896,
0.04552069306373596,
0.07256867736577988,
-0.006629777606576681,
-0.056286998093128204,
0.021683717146515846,
0.057193636894226074,
0.01430785283446312,
0.028219053521752357,
0.02825682982802391,
-0.0223825816065073,
0.005317043978720903,
0.0115029476583004,
0.013958420604467392,
-0.0421963632106781,
0.015195601619780064,
-0.014921721071004868,
0.0197948906570673,
0.03654877468943596,
0.020380428060889244,
0.01701831817626953,
0.04419851675629616,
0.03924979269504547,
0.0753263607621193,
0.019256576895713806,
-0.00919385813176632,
0.015431703999638557,
0.024856943637132645,
0.013750649988651276,
-0.010766305029392242,
-0.032676681876182556,
-0.0068894908763468266,
-0.016961652785539627,
-0.006577834952622652,
0.056815870106220245,
0.01840660534799099,
-0.03386664018034935,
-0.02466806024312973,
-0.000025786894184420817,
-0.04397185891866684,
0.009156081825494766,
0.013457881286740303,
0.011134626343846321,
0.00040609747520647943,
0.0575336255133152,
-0.013061228208243847,
0.0172733087092638,
-0.014657285995781422,
-0.027973506599664688,
-0.0396275594830513,
-0.02991899661719799,
0.0052084363996982574,
-0.004667759872972965,
0.027520187199115753,
-0.012239589355885983,
-0.07781960815191269,
0.0010211463086307049,
-0.024460289627313614,
-0.027954617515206337,
-0.011975153349339962,
0.022155923768877983,
-0.028974583372473717,
0.04669176787137985,
0.023950306698679924,
-0.016678329557180405,
0.006667553912848234,
-0.036624327301979065,
-0.03909868746995926,
0.010360208339989185,
-0.013665652833878994,
0.06712885946035385,
-0.05088495835661888,
-0.05341598391532898,
-0.015526145696640015,
-0.0652400329709053,
0.012428471818566322,
0.0143834063783288,
-0.019908221438527107,
-0.007437250576913357,
-0.028200164437294006,
0.03851315379142761,
-0.0013977308990433812,
-0.048127274960279465,
0.059498004615306854,
0.0028072670102119446,
-0.0210792925208807,
-0.046351779252290726,
-0.004120000638067722,
-0.016328897327184677,
0.028974583372473717,
-0.011493503116071224,
0.025990238413214684,
-0.01016188133507967,
-0.04189414903521538,
-0.010652976110577583,
-0.026877986267209053,
0.040949735790491104,
-0.026254674419760704,
0.009066362865269184,
0.032261140644550323,
-0.045294035226106644,
0.09806782007217407,
0.007640299387276173,
0.04064752534031868,
0.05825137719511986,
-0.002564080525189638,
-0.03424440696835518,
-0.014166191220283508,
-0.01774551533162594,
-0.029616784304380417,
0.031108956784009933,
-0.04125194996595383,
0.02045598067343235,
0.03218558803200722,
0.03363998234272003,
0.050544969737529755,
-0.03118450939655304,
-0.033243328332901,
-0.0005327078397385776,
0.002771851373836398,
-0.01647055894136429,
-0.06297343969345093,
-0.015393927693367004,
-0.02260924130678177,
-0.007257812190800905,
-0.026915762573480606,
-0.04268745705485344,
-0.034319959580898285,
-0.027803512290120125,
0.008986087515950203,
0.04536958783864975,
0.012636242434382439,
-0.007375863380730152,
0.011569056659936905,
0.014676174148917198,
0.014317297376692295,
-0.06338898092508316,
-0.0011923210695385933,
0.027822399511933327,
-0.03932534530758858,
0.02685909904539585,
-0.0030008715111762285,
-0.022684793919324875,
0.029597895219922066,
-0.00459692906588316,
-0.01008632779121399,
0.050431642681360245,
-0.01685776747763157,
-0.009071084670722485,
-0.01583780162036419,
-0.03178893402218819,
0.04805172234773636,
0.015667807310819626,
0.010766305029392242,
-0.05564479902386665,
-0.03178893402218819,
0.04385852813720703,
0.023704759776592255,
-0.13848868012428284,
0.050544969737529755,
0.06172681599855423,
-0.0639934092760086,
-0.03541547805070877,
0.048996131867170334,
-0.031127844005823135,
-0.027406858280301094,
0.008433605544269085,
-0.01878437027335167,
-0.060631297528743744,
-0.009160803630948067,
-0.030353425070643425,
-0.016130570322275162,
-0.0639934092760086,
-0.010709640569984913,
-0.007541135884821415,
-0.004611095413565636,
-0.0026278283912688494,
-0.016649996861815453,
-0.002448390005156398,
0.006738385185599327,
0.0026514388155192137,
0.020115992054343224,
-0.02325144223868847,
-0.026783546432852745,
-0.009481904096901417,
0.007909457199275494,
0.0010494786547496915,
-0.013977308757603168,
0.0010843038326129317,
0.02096596360206604,
0.02005932666361332,
-0.048882804811000824,
0.0010300001595169306,
0.03770095854997635,
-0.006554224528372288,
-0.027935728430747986,
-0.010530201718211174,
-0.06867769360542297,
-0.06497559696435928,
0.013089560903608799,
-0.0319400392472744,
0.03671876713633537,
0.005047886166721582,
-0.04654065892100334,
-0.0345466174185276,
0.046729542315006256,
0.0029300404712557793,
0.047107309103012085,
-0.004150694236159325,
0.027425745502114296,
-0.02298700623214245,
0.010634087957441807,
0.021173734217882156,
0.00021928083151578903,
-0.053869303315877914,
0.034716613590717316,
0.012315141968429089,
0.0077064079232513905,
0.032771121710538864,
-0.019341573119163513,
0.060895733535289764,
0.0370776429772377,
0.031637828797101974,
0.0017141090938821435,
-0.026821322739124298,
0.020531533285975456,
0.022817011922597885,
-0.0740797370672226,
0.003288917476311326,
-0.0223825816065073,
-0.03658654913306236,
-0.017547188326716423,
0.02274145931005478,
-0.04994054511189461,
-0.024611396715044975,
-0.012315141968429089,
-0.036114342510700226,
0.0945168286561966,
-0.047598402947187424,
0.002613662276417017,
0.012976231053471565,
-0.02068263851106167,
0.060895733535289764,
0.027331305667757988,
0.004568596836179495,
0.021513722836971283,
-0.051451604813337326,
-0.033299993723630905,
0.0121545922011137,
0.004608734045177698,
0.05096051096916199,
0.0036289060954004526,
-0.034187741577625275,
-0.00348252197727561,
-0.04280078411102295,
-0.004566235467791557,
-0.023459212854504585,
0.07347530871629715,
0.08477048575878143,
0.01444007083773613,
-0.0039169518277049065,
0.04400963336229324,
0.008650820702314377,
0.006875324994325638,
0.0030551753006875515,
-0.021815935149788857,
0.013835647143423557,
-0.019832666963338852,
0.003222808474674821,
-0.02606579102575779,
-0.03821093961596489,
-0.004658315796405077,
0.020474867895245552,
0.030485643073916435,
-0.003229891648516059,
0.015431703999638557,
-0.04162971302866936,
-0.03668099269270897,
0.007871679961681366,
-0.049260567873716354,
-0.04230969026684761,
-0.012060150504112244,
-0.016555555164813995,
-0.019492678344249725,
-0.027274640277028084,
-0.05288711562752724,
-0.12065817415714264,
0.013760093599557877,
-0.12436027079820633,
-0.061651263386011124,
-0.003593490459024906,
-0.00900969747453928,
-0.030107878148555756,
0.005165937822312117,
0.0048448373563587666,
-0.06539113819599152,
0.04956278204917908,
0.033658869564533234,
0.06146237999200821,
-0.014732838608324528,
0.018066616728901863,
0.04230969026684761,
-0.028407935053110123,
-0.058478038758039474,
0.02276034653186798,
0.024838054552674294,
0.006936711724847555,
0.010048551484942436,
-0.0018628541147336364,
0.03260112926363945,
0.010813525877892971,
0.05893135443329811,
0.02325144223868847,
-0.05560702458024025,
0.04960055649280548,
-0.05277378484606743,
0.007739462424069643,
-0.003987782634794712,
0.045445140451192856,
0.0024342238903045654,
-0.007026430685073137,
0.039552006870508194,
-0.00945829413831234,
-0.013212334364652634,
0.0032369745895266533,
-0.01842549256980419,
0.023591430857777596,
-0.04816504940390587,
0.004958166740834713,
-0.01879381388425827,
-0.035849906504154205,
-0.016517778858542442,
-0.040723077952861786,
0.015743359923362732,
0.04967610910534859,
-0.02848348766565323,
-0.023478100076317787,
0.022080369293689728,
-0.006223679985851049,
-0.008556379936635494,
0.004438739735633135,
0.02695354074239731,
0.012919566594064236,
-0.026103569194674492,
-0.05855359137058258,
-0.04382074996829033,
0.025253597646951675,
0.04038308933377266,
-0.007848070003092289,
-0.013958420604467392,
0.006950878072530031,
-0.01462895330041647,
-0.005897857714444399,
0.007116150110960007,
0.003947645425796509,
0.014506179839372635,
-0.0044859605841338634,
0.000003564604867278831,
-0.011927933432161808,
0.033545542508363724,
-0.0383809357881546,
0.03479216620326042,
-0.03296000510454178,
-0.03475438803434372,
0.06501337140798569,
-0.027916841208934784,
0.00195021228864789,
0.04665398970246315,
-0.03989199548959732,
-0.020928187295794487,
-0.005076218396425247,
0.01202237419784069,
0.0020387510303407907,
-0.0023952668998390436,
0.0010559714864939451,
-0.04257412627339363,
-0.016904987394809723,
-0.010171324945986271,
-0.00002403456710453611,
0.0014721034094691277,
0.009425239637494087,
0.008027507923543453,
0.03760651499032974,
-0.06928212195634842,
0.0041152783669531345,
-0.0021084013860672712,
0.013108449056744576,
-0.04374519735574722,
-0.0033101667650043964,
0.027690181508660316,
-0.013882867060601711,
-0.06214235723018646,
0.007508081384003162,
-0.016772771254181862,
0.025650249794125557,
-0.04030753672122955,
-0.04132750257849693,
0.02466806024312973,
-0.026292450726032257,
-0.010634087957441807,
-0.018463268876075745,
0.0012395416852086782,
-0.0007248367764987051,
0.05194270238280296,
-0.018123280256986618,
0.03618989512324333,
0.010737973265349865,
-0.028842365369200706,
0.012768460437655449,
0.0016019601607695222,
0.00005537357719731517,
-0.0021733299363404512,
0.017943842336535454,
-0.02351587824523449,
-0.012730684131383896,
-0.02468694932758808,
0.05995132029056549,
-0.03749318793416023,
-0.011285732500255108,
0.02234480530023575,
0.01930379681289196,
0.0370965339243412,
0.002814349951222539,
-0.034716613590717316,
0.024365849792957306,
-0.010388540104031563,
-0.022137034684419632,
0.0434429869055748,
-0.018576599657535553,
-0.041969701647758484,
-0.02364809438586235,
0.012485136277973652,
-0.0034990492276847363,
0.03401774913072586,
0.024894719943404198,
0.001946670818142593,
-0.0068894908763468266,
0.03985421732068062,
-0.008537490852177143,
-0.028407935053110123,
-0.015903910622000694,
-0.0036171008832752705,
-0.0003264126426074654,
0.008726374246180058,
0.0014968941686674953,
0.018312163650989532,
-0.00043324934085831046,
-0.016310008242726326,
0.021438170224428177,
-0.047598402947187424,
0.022193700075149536,
0.000549235031940043,
0.031014515087008476,
-0.040987513959407806,
-0.03541547805070877,
0.0004651232738979161,
0.0625956803560257,
-0.010360208339989185,
0.059649109840393066,
-0.02200481668114662,
0.026556886732578278,
0.03027787245810032,
0.032638903707265854,
0.003543908940628171,
-0.007366419304162264,
-0.038796477019786835,
-0.031241172924637794,
0.00887275766581297,
-0.03617100790143013,
-0.03747429698705673,
-0.016678329557180405,
-0.012617354281246662,
-0.01271179597824812,
0.031241172924637794,
-0.010511313565075397,
-0.02823794074356556,
0.0066911643370985985,
0.01840660534799099,
0.020550422370433807,
0.0524337962269783,
-0.0033526653423905373,
0.007909457199275494,
0.0042309691198170185,
-0.038909804075956345,
0.05470038577914238,
0.03898535668849945,
0.009557456709444523,
-0.009108860976994038,
0.00709726195782423,
0.055909235030412674,
0.012655130587518215,
-0.01701831817626953,
0.029352348297834396,
0.01239069551229477,
0.010605755262076855,
0.0025829689111560583,
0.012749572284519672,
0.031883373856544495,
-0.0072672562673687935,
0.036227673292160034,
0.034584395587444305,
-0.042763009667396545,
0.022458136081695557,
0.023818088695406914,
-0.020267097279429436,
0.037530962377786636,
-0.0018593126442283392,
0.02234480530023575,
-0.01814216934144497,
0.014883944764733315,
-0.0031921151094138622,
-0.03156227245926857,
0.053680419921875,
0.0434429869055748,
0.04064752534031868,
-0.013514546677470207,
-0.0004990631132386625,
-0.006733662914484739,
-0.017490524798631668,
-0.043140772730112076,
-0.05099828913807869,
-0.005000665318220854,
-0.019379349425435066,
-0.026915762573480606,
-0.018963808193802834,
-0.042763009667396545,
-0.0018120919121429324,
-0.03977866470813751,
-0.014288964681327343,
0.011975153349339962,
-0.012777904979884624,
0.017953285947442055,
-0.01981377974152565,
0.01917157880961895,
0.027463523671030998,
0.011512391269207,
-0.01189015619456768,
0.019332129508256912,
-0.03120339661836624,
-0.02506471425294876,
0.039816442877054214,
-0.00204465351998806,
0.00002263270471303258,
-0.0017011234303936362,
-0.011219623498618603,
-0.022798124700784683,
0.011682385578751564,
-0.033167775720357895,
0.014808392152190208,
0.007385307922959328,
-0.004585124086588621,
0.020928187295794487,
-0.003643072210252285,
-0.042234137654304504,
-0.010265766642987728,
0.036359891295433044,
-0.04510515183210373,
0.04004310071468353,
0.004174304194748402,
-0.03269556909799576,
-0.017858844250440598,
0.01336344052106142,
-0.047107309103012085,
0.010067439638078213,
-0.0026962982956320047,
-0.01059631071984768,
0.060404639691114426,
-0.018756037577986717,
-0.011295176111161709,
-0.013854535296559334,
0.03093896247446537,
-0.03146783262491226,
0.014940610155463219,
0.049260567873716354,
-0.027274640277028084,
-0.016848323866724968,
0.045822907239198685,
-0.000978647731244564,
0.015686696395277977,
0.01100240834057331,
-0.015035050921142101,
0.0034069688990712166,
0.04627622663974762,
0.039060913026332855,
-0.03173226863145828,
-0.017821067944169044,
-0.015526145696640015,
-0.04125194996595383,
0.029371237382292747,
0.010549090802669525,
-0.046729542315006256,
0.020493756979703903,
0.014175635762512684,
0.00276240729726851,
-0.005793972406536341,
0.017301641404628754,
-0.028030170127749443,
0.002866292605176568,
-0.007772516924887896,
0.0021225677337497473,
0.050431642681360245,
-0.038796477019786835,
-0.027822399511933327,
-0.010388540104031563,
-0.020758192986249924,
-0.01336344052106142,
0.02351587824523449,
-0.0024696392938494682,
0.02096596360206604,
-0.01623445563018322,
-0.005916745867580175,
0.07698852568864822,
-0.006842270493507385,
0.005543702747672796,
-0.013014007359743118,
0.05715585872530937,
-0.019511567428708076,
-0.016517778858542442,
-0.020474867895245552,
0.01928490772843361,
-0.010397984646260738,
-0.022571465000510216,
-0.007021708879619837,
0.009670786559581757,
0.03129784017801285,
0.04446295276284218,
0.023969195783138275,
0.037134308367967606,
-0.0009119485621340573,
-0.005949800368398428,
0.11997819691896439,
-0.0013221778208389878,
-0.026254674419760704,
0.02298700623214245,
-0.04291411489248276,
-0.028332382440567017,
0.0043395766988396645,
-0.060669075697660446,
0.028559042140841484,
0.06456005573272705,
0.04586068168282509,
-0.019237687811255455,
0.012258477509021759,
-0.0095763448625803,
-0.03862648084759712,
0.016687773168087006,
0.015554478392004967,
0.02657577395439148,
-0.011927933432161808,
0.030712302774190903,
-0.008924700319766998,
-0.04499182477593422,
-0.044538505375385284,
-0.020777080208063126,
-0.04790061339735985,
-0.04461405798792839,
-0.014071749523282051,
-0.010256322100758553,
0.01830272004008293,
0.04268745705485344,
-0.003586407518014312,
-0.04283856227993965,
-0.005279267206788063,
0.009963554330170155,
0.06331343203783035,
0.0061670150607824326,
0.0002672392874956131,
0.014175635762512684,
-0.01954934373497963,
0.036001015454530716,
-0.04011865332722664,
0.01889769919216633,
0.037398744374513626,
0.028823476284742355,
-0.015469481237232685,
0.06085795909166336,
0.044047411531209946,
0.0025924129877239466,
-0.039060913026332855,
0.017433859407901764,
-0.010586867108941078,
-0.04291411489248276,
0.029956772923469543,
0.0072530899196863174,
0.022590352222323418,
0.01698998548090458,
0.042876340448856354,
0.029069025069475174,
0.04642733186483383,
-0.053680419921875,
-0.036001015454530716,
0.006148126907646656,
-0.01685776747763157,
0.010747416876256466,
-0.05281155928969383,
-0.030051214620471,
-0.010379096493124962,
-0.007885846309363842,
0.018444381654262543,
0.009184413589537144,
-0.011569056659936905,
-0.009982442483305931,
0.010983520187437534,
-0.01816105656325817,
-0.0037823731545358896,
-0.007484470959752798,
0.03465994819998741,
-0.001741260988637805,
0.02021043375134468,
-0.030240096151828766,
0.023100335150957108,
0.007616688963025808,
-0.013155669905245304,
-0.05179159343242645,
-0.039438676089048386,
0.010813525877892971,
-0.0027458800468593836,
0.03314888849854469,
0.03601990267634392,
0.036359891295433044,
0.02402586117386818,
-0.03233669325709343,
-0.005350098013877869,
-0.031354501843452454,
-0.002310269745066762,
-0.05726918950676918,
-0.03271445631980896,
0.018718261271715164,
0.009954110719263554,
0.00603951932862401,
0.026537997648119926,
0.0009166706004180014,
-0.01476117130368948,
0.007843348197638988,
-0.02695354074239731,
-0.05613589286804199,
-0.006573112681508064,
-0.06599556654691696,
-0.0026514388155192137,
-0.046351779252290726,
0.019379349425435066,
-0.015913354232907295,
-0.00811722781509161,
0.000007115375410648994,
0.008844424970448017,
-0.03297889232635498,
0.006440895143896341,
-0.020871521905064583,
0.003385719610378146,
-0.02121151052415371,
0.036114342510700226,
0.009548013098537922,
0.006096184253692627,
-0.010662419721484184,
0.047976166009902954,
-0.023440323770046234,
-0.01867103949189186,
0.02072041667997837,
0.021702604368329048,
0.014043417759239674,
-0.034452177584171295,
0.0005043754354119301,
0.0217214934527874,
0.01430785283446312,
-0.015252266079187393,
0.07211535423994064,
0.00024746565031819046,
0.046465106308460236,
0.027671294286847115,
-0.02200481668114662,
0.03069341368973255,
0.033696647733449936,
-0.057344742119312286,
-0.01100240834057331,
-0.07438194751739502,
-0.002358670812100172,
-0.04540736600756645,
-0.038040947169065475,
0.020399315282702446,
0.00552481459453702,
-0.021154845133423805,
-0.06863991916179657,
0.0370776429772377,
0.04128972440958023,
-0.021759269759058952,
0.06104683876037598,
-0.013259555213153362,
-0.009850225411355495,
0.012060150504112244,
-0.030863407999277115,
0.009916333481669426,
0.00318030989728868,
-0.0036572383251041174,
0.01966267265379429,
0.005949800368398428,
0.0009892723755910993,
-0.022854788228869438,
0.014581732451915741,
-0.008787760511040688,
-0.022439246997237206,
0.017849400639533997,
0.02005932666361332,
-0.013032895512878895,
-0.07011320441961288,
-0.060102429240942,
-0.008584711700677872,
-0.01774551533162594,
-0.037889838218688965,
0.04125194996595383,
0.003076424589380622,
0.004944000858813524,
0.017981618642807007,
0.01764163002371788,
-0.018349939957261086,
0.03224224969744682,
-0.011011852882802486,
0.04627622663974762,
-0.0007809113012626767,
0.009481904096901417,
0.008452493697404861,
0.006058407947421074,
-0.04268745705485344,
0.02145705744624138,
-0.02251479960978031,
-0.04771173372864723,
-0.01830272004008293,
-0.013599543832242489,
-0.010218545794487,
0.07298421859741211,
-0.043291881680488586,
-0.03747429698705673,
0.008088895119726658,
-0.037398744374513626,
-0.07018875330686569,
0.0217403806746006,
-0.030901184305548668,
-0.04593623802065849,
-0.008405273780226707,
-0.052093807607889175,
0.03977866470813751,
0.04805172234773636,
0.003942923154681921,
0.05454928055405617,
0.03685098513960838,
-0.02544247917830944,
-0.01091741118580103,
-0.02145705744624138,
-0.029881220310926437,
-0.008107783272862434,
-0.0018793813651427627,
0.01527115423232317,
-0.026764657348394394,
-0.008480826392769814,
-0.010851302184164524,
0.009349686093628407,
-0.024875832721590996,
0.011795715428888798,
-0.007064207457005978,
0.03618989512324333,
-0.007649743463844061
] |
Pre-trained models (PTMs) have shown great promise in the speech and audio
domain. Embeddings leveraged from these models serve as inputs for learning
algorithms with applications in various downstream tasks. One such crucial task
is Speech Emotion Recognition (SER) which has a wide range of applications,
including dynamic analysis of customer calls, mental health assessment, and
personalized language learning. PTM embeddings have helped advance SER,
however, a comprehensive comparison of these PTM embeddings that consider
multiple facets such as embedding model architecture, data used for
pre-training, and the pre-training procedure being followed is missing. A
thorough comparison of PTM embeddings will aid in the faster and more efficient
development of models and enable their deployment in real-world scenarios. In
this work, we exploit this research gap and perform a comparative analysis of
embeddings extracted from eight speech and audio PTMs (wav2vec 2.0, data2vec,
wavLM, UniSpeech-SAT, wav2clip, YAMNet, x-vector, ECAPA). We perform an
extensive empirical analysis with four speech emotion datasets (CREMA-D, TESS,
SAVEE, Emo-DB) by training three algorithms (XGBoost, Random Forest, FCN) on
the derived embeddings. The results of our study indicate that the best
performance is achieved by algorithms trained on embeddings derived from PTMs
trained for speaker recognition followed by wav2clip and UniSpeech-SAT. This
can relay that the top performance by embeddings from speaker recognition PTMs
is most likely due to the model taking up information about numerous speech
features such as tone, accent, pitch, and so on during its speaker recognition
training. Insights from this work will assist future studies in their selection
of embeddings for applications related to SER. | [
-0.029975650832057,
0.023948706686496735,
-0.03306865692138672,
-0.05988060683012009,
0.03913095220923424,
0.015305963344871998,
-0.049594148993492126,
-0.0007108391728252172,
-0.024602657184004784,
0.024496611207723618,
0.004451720044016838,
-0.005138809327036142,
-0.0322733148932457,
-0.014413409866392612,
-0.028879843652248383,
-0.006499732378870249,
0.019353384152054787,
0.01123203244060278,
-0.023153362795710564,
-0.006009269971400499,
-0.026211021468043327,
-0.024090101942420006,
-0.03368726000189781,
-0.0916236862540245,
0.059986650943756104,
0.027925429865717888,
0.021598022431135178,
-0.006764846853911877,
-0.04736718535423279,
0.05609830096364021,
0.01275202352553606,
0.005160902161151171,
-0.04340813681483269,
-0.009561808779835701,
-0.047225791960954666,
-0.012725512497127056,
0.04248907044529915,
0.04871043562889099,
0.027837058529257774,
0.04521091654896736,
-0.020537562668323517,
-0.02470870316028595,
0.008081584237515926,
-0.047473229467868805,
0.0034045164939016104,
-0.030134720727801323,
-0.031919825822114944,
0.0080727469176054,
0.013883180916309357,
-0.004701369907706976,
0.012999464757740498,
-0.03665654733777046,
0.0329626128077507,
0.015182243660092354,
-0.020060356706380844,
0.0817260667681694,
0.055179234594106674,
0.004241837654262781,
0.07691865414381027,
0.031018435955047607,
-0.0021938253194093704,
0.04591789096593857,
-0.050513215363025665,
-0.013467834331095219,
-0.03045285865664482,
-0.050124380737543106,
0.017303161323070526,
-0.04588254168629646,
0.0015630729030817747,
-0.02576916292309761,
-0.03057657927274704,
-0.04199419170618057,
0.016392935067415237,
-0.010533896274864674,
0.01693200133740902,
-0.02879147231578827,
0.014510619454085827,
0.055780161172151566,
0.008876929059624672,
-0.025998929515480995,
0.06161268800497055,
0.06200152635574341,
0.022499412298202515,
0.06168338656425476,
0.08582650870084763,
-0.015429683960974216,
-0.030028674751520157,
-0.07387866824865341,
-0.01025110762566328,
0.011576681397855282,
-0.03704538196325302,
0.017568277195096016,
-0.00705205462872982,
0.00962366908788681,
-0.026723576709628105,
-0.009800411760807037,
0.04514022171497345,
-0.01621619053184986,
-0.042276978492736816,
-0.006464383564889431,
0.03577283024787903,
-0.02734217792749405,
-0.0044716037809848785,
-0.01044552493840456,
0.01416596956551075,
-0.009111113846302032,
-0.03980257362127304,
0.03651515021920204,
-0.008284838870167732,
0.11445891112089157,
-0.06235501170158386,
-0.005624853074550629,
0.00962366908788681,
0.016251539811491966,
0.014952477067708969,
-0.013600391335785389,
0.03451795130968094,
-0.06712707877159119,
0.02444358915090561,
-0.014652013778686523,
-0.030558904632925987,
0.08794742822647095,
0.0009096753201447427,
-0.023365454748272896,
0.0023816151078790426,
0.0731009989976883,
0.0015509218210354447,
0.017815716564655304,
0.026175672188401222,
0.0145017821341753,
0.016375260427594185,
0.033104006201028824,
0.0018094087718054652,
0.03842397779226303,
0.011214357800781727,
0.027183108031749725,
-0.02069663256406784,
0.019918961450457573,
0.047437883913517,
-0.015350149013102055,
-0.016189679503440857,
-0.01595107652246952,
-0.03439423069357872,
-0.021403605118393898,
-0.000060375761677278206,
-0.03220261633396149,
-0.007714841980487108,
0.08688697218894958,
0.018089668825268745,
-0.05751224607229233,
-0.026900319382548332,
0.02557474561035633,
0.022764528170228004,
0.005032763350754976,
0.027819383889436722,
-0.053729940205812454,
0.019211988896131516,
-0.027430549263954163,
-0.029887279495596886,
0.016834791749715805,
0.019353384152054787,
-0.0467662587761879,
0.0028212638571858406,
0.03651515021920204,
0.06132990121841431,
0.011753425002098083,
0.022746853530406952,
0.00046975037548691034,
-0.05793642997741699,
0.03906025364995003,
-0.017497580498456955,
0.06231966242194176,
-0.011311566457152367,
-0.008240653201937675,
-0.026122648268938065,
0.07889817655086517,
-0.014669688418507576,
0.01440457347780466,
-0.06500615924596786,
0.028437985107302666,
-0.024231497198343277,
0.02398405596613884,
0.014006900601089,
-0.0018370249308645725,
0.03465934842824936,
0.02096174657344818,
0.060269441455602646,
-0.004482650198042393,
0.030329138040542603,
-0.025733813643455505,
-0.0007555772899650037,
0.054330866783857346,
0.029957978054881096,
0.002748357132077217,
0.03517190366983414,
-0.017497580498456955,
-0.03563143312931061,
0.04779136925935745,
0.004847182892262936,
-0.037858400493860245,
-0.06938938796520233,
-0.029286352917551994,
0.05277552828192711,
0.0034464930649846792,
-0.016057122498750687,
0.011771098710596561,
0.018893850967288017,
0.06044618412852287,
-0.02826124243438244,
-0.017082232981920242,
0.006512987893074751,
-0.047013700008392334,
-0.01406876090914011,
-0.00899181142449379,
-0.02509753778576851,
-0.0073171695694327354,
0.01746223121881485,
0.04164070636034012,
0.013070161454379559,
0.001103540533222258,
0.017365021631121635,
0.049912288784980774,
0.04171140119433403,
-0.009119950234889984,
-0.03708072751760483,
-0.024408239871263504,
0.002432428766041994,
-0.014245504513382912,
0.032662149518728256,
0.03708072751760483,
0.05839596316218376,
0.0055055515840649605,
0.0035282366443425417,
-0.058820147067308426,
0.010162735357880592,
-0.02089104987680912,
0.016852466389536858,
-0.02649381011724472,
-0.046695560216903687,
0.07741353660821915,
-0.015182243660092354,
-0.02530962973833084,
0.0021087676286697388,
0.00212533725425601,
0.0060225254856050014,
-0.04468068853020668,
-0.044716037809848785,
0.05758294463157654,
-0.015146894380450249,
-0.019918961450457573,
-0.042877908796072006,
0.0145017821341753,
0.010030178353190422,
0.006870892830193043,
-0.005324389785528183,
0.009438088163733482,
0.05751224607229233,
-0.01594224013388157,
-0.0016227237647399306,
-0.0461299829185009,
0.051220186054706573,
0.02023709937930107,
0.022181274369359016,
0.06330942362546921,
-0.03149564191699028,
-0.009703203104436398,
0.05033647269010544,
-0.009358554147183895,
0.020131053403019905,
-0.03504818305373192,
-0.002523009665310383,
0.009491111151874065,
-0.023011967539787292,
-0.027571944519877434,
0.012575280852615833,
-0.026317067444324493,
0.027059387415647507,
-0.034111443907022476,
0.06677359342575073,
-0.03870676830410957,
-0.03881281241774559,
-0.03123052790760994,
0.029021238908171654,
0.010047852993011475,
-0.01060459390282631,
-0.021067792549729347,
0.005213925149291754,
-0.03018774278461933,
-0.04644811898469925,
-0.01522642932832241,
-0.026069626212120056,
-0.007953445427119732,
-0.0415346585214138,
0.02629939280450344,
0.032980285584926605,
-0.017029210925102234,
-0.03704538196325302,
0.012734349817037582,
0.03736351802945137,
-0.05213925242424011,
-0.014846431091427803,
0.018363621085882187,
0.013556205667555332,
0.05266948044300079,
-0.06405174732208252,
0.010498547926545143,
-0.024691028520464897,
0.019724544137716293,
-0.030099371448159218,
-0.05252808704972267,
0.013900854624807835,
-0.0051034605130553246,
-0.02518591098487377,
0.020731979981064796,
0.02431986853480339,
0.0021894066594541073,
0.0149878254160285,
0.001014616573229432,
-0.021509651094675064,
-0.0210854671895504,
-0.0021860927809029818,
0.030205417424440384,
-0.0962190106511116,
0.04093373194336891,
0.0013123184908181429,
-0.017497580498456955,
0.007109496276825666,
-0.02497381903231144,
0.033846329897642136,
0.0026754506397992373,
-0.01107296347618103,
-0.02826124243438244,
0.029091935604810715,
-0.02925100363790989,
0.04514022171497345,
0.027200782671570778,
-0.059279680252075195,
-0.027589617297053337,
-0.00875762663781643,
-0.022163601592183113,
-0.027501245960593224,
-0.00130569061730057,
-0.06051688268780708,
-0.022693829610943794,
-0.023418478667736053,
-0.03352819010615349,
0.03669189289212227,
0.02009570598602295,
-0.044044412672519684,
-0.05217460170388222,
0.0009339774842374027,
-0.04132256656885147,
0.043726272881031036,
0.002046907553449273,
0.0168171189725399,
-0.04450394585728645,
-0.01990128681063652,
0.014112946577370167,
0.03234400972723961,
0.017974786460399628,
-0.005686713382601738,
-0.008055072277784348,
-0.043514184653759,
0.018540363758802414,
-0.04733183607459068,
-0.028579380363225937,
-0.0033139355946332216,
-0.017771530896425247,
0.03842397779226303,
-0.015535729937255383,
0.02622869424521923,
0.05175041779875755,
0.019865939393639565,
-0.004882531706243753,
-0.030717972666025162,
0.012416211888194084,
0.03708072751760483,
-0.0042175352573394775,
-0.005205088295042515,
0.046695560216903687,
-0.08087769895792007,
-0.019936636090278625,
0.007197868078947067,
0.06818753480911255,
0.01859338767826557,
0.014970151707530022,
0.029639840126037598,
0.02622869424521923,
-0.06122385337948799,
0.028968214988708496,
0.010286455973982811,
-0.011373426765203476,
-0.016764095053076744,
-0.045034173876047134,
-0.00043136393651366234,
0.018098507076501846,
0.021067792549729347,
0.03637375682592392,
0.0024655680172145367,
0.03181378170847893,
-0.02219894900918007,
0.010913894511759281,
-0.025362653657794,
-0.004953228868544102,
-0.032308660447597504,
-0.045564405620098114,
0.019724544137716293,
0.04924066364765167,
0.07557540386915207,
0.007993212901055813,
-0.026140322908759117,
0.010198084637522697,
-0.03895420581102371,
-0.010056689381599426,
-0.013591554015874863,
0.016640374436974525,
0.026529159396886826,
0.010295293293893337,
0.048392295837402344,
0.02485009841620922,
-0.051290884613990784,
0.009862272068858147,
0.07161635905504227,
-0.0059208981692790985,
0.0024368471931666136,
0.06539499759674072,
0.01679060608148575,
0.011470635421574116,
-0.019141292199492455,
-0.005894386675208807,
-0.016454795375466347,
-0.05659318342804909,
0.05192716047167778,
-0.05182111635804176,
-0.01786874048411846,
-0.012451560236513615,
-0.006040199659764767,
0.0012018539709970355,
-0.037328168749809265,
-0.017965950071811676,
-0.037469565868377686,
-0.00003433029996813275,
0.03874211385846138,
-0.005549737252295017,
-0.03349284082651138,
-0.010516221635043621,
0.020908724516630173,
-0.00725089106708765,
-0.041216522455215454,
0.0026621948927640915,
-0.05383598804473877,
-0.022711504250764847,
-0.08844231069087982,
-0.026476135477423668,
0.018169203773140907,
0.0018955711275339127,
0.024956144392490387,
0.004922298714518547,
-0.015544567257165909,
-0.05256343632936478,
-0.016834791749715805,
0.03202587366104126,
0.04323139414191246,
-0.0362323634326458,
-0.00026276748394593596,
-0.031990524381399155,
-0.047614626586437225,
-0.012098073959350586,
-0.014537130482494831,
0.044716037809848785,
-0.022375693544745445,
-0.03184913098812103,
0.007971120066940784,
-0.005240436643362045,
0.03260912746191025,
-0.013618065975606441,
-0.015191080048680305,
-0.053341105580329895,
0.062425706535577774,
0.0586434043943882,
0.026741251349449158,
-0.010277618654072285,
0.003424399998039007,
0.021385930478572845,
0.04270116239786148,
0.023771964013576508,
-0.010489710606634617,
0.0020822561345994473,
-0.006561592221260071,
0.016225028783082962,
-0.012972952798008919,
0.011444124393165112,
0.010692965239286423,
-0.020184077322483063,
-0.005240436643362045,
-0.01659618876874447,
0.03485376387834549,
-0.06016339361667633,
0.07324239611625671,
-0.03863606974482536,
-0.008969718590378761,
0.0481095053255558,
-0.008426233194768429,
-0.0008732220157980919,
-0.03147796913981438,
0.04796811193227768,
-0.0336342379450798,
-0.0041181170381605625,
-0.03131889924407005,
0.01557991560548544,
0.05118484050035477,
-0.012866906821727753,
0.030064024031162262,
-0.0004167273873463273,
-0.021368255838751793,
0.05613365024328232,
0.009473437443375587,
0.04825090244412422,
0.00787832960486412,
-0.005704387556761503,
-0.02002500742673874,
-0.02879147231578827,
-0.01321155671030283,
0.04584719240665436,
-0.05079600214958191,
0.007082984782755375,
0.034959811717271805,
-0.009588319808244705,
0.04641277343034744,
-0.0481095053255558,
-0.036479800939559937,
0.00905809085816145,
0.005872293841093779,
-0.06482941657304764,
0.015014337375760078,
-0.01660502701997757,
0.04782671853899956,
0.0408630333840847,
-0.02265848219394684,
-0.017347346991300583,
-0.010843196883797646,
0.03154866769909859,
0.0012018539709970355,
0.005620434880256653,
-0.023418478667736053,
0.024920795112848282,
0.030806344002485275,
-0.06603126972913742,
-0.024408239871263504,
0.035490039736032486,
0.016702234745025635,
-0.00787391047924757,
-0.017382696270942688,
0.015358986333012581,
-0.03874211385846138,
-0.050831351429224014,
-0.050513215363025665,
0.0035591667983680964,
0.012946441769599915,
0.0003526579821482301,
-0.02267615683376789,
0.03147796913981438,
-0.0050902049988508224,
0.020838025957345963,
0.0270063653588295,
0.000400710036046803,
0.041287217289209366,
0.06376896053552628,
0.0030819601379334927,
-0.027571944519877434,
-0.007219960913062096,
0.003406725823879242,
-0.0797465443611145,
0.00637601176276803,
-0.042206283658742905,
0.04931136220693588,
0.042206283658742905,
-0.056628528982400894,
-0.0013222602428868413,
0.0026688226498663425,
0.013724111951887608,
0.013291090726852417,
0.008395303040742874,
0.061259202659130096,
0.018080832436680794,
0.022181274369359016,
-0.039908621460199356,
-0.07649447023868561,
-0.019671522080898285,
-0.007551354356110096,
0.011125986464321613,
0.02787240780889988,
0.0007611005567014217,
-0.059279680252075195,
-0.006199268624186516,
-0.056628528982400894,
0.03050588071346283,
0.004389859735965729,
0.0745149478316307,
-0.033033307641744614,
-0.015535729937255383,
0.024744052439928055,
0.01595107652246952,
0.05037182196974754,
-0.003199052531272173,
0.0004888054681941867,
0.046695560216903687,
0.038777463138103485,
0.02193383499979973,
0.026264043524861336,
-0.0058148521929979324,
-0.029109610244631767,
0.051043443381786346,
-0.001988361356779933,
0.01792176254093647,
-0.0022821968887001276,
0.05252808704972267,
0.014024575240910053,
0.003930327482521534,
0.010171572677791119,
0.011788773350417614,
-0.0025119632482528687,
0.05171506851911545,
-0.005372994113713503,
0.0007914782618172467,
0.057688988745212555,
0.024001730605959892,
-0.05747689679265022,
0.005426017101854086,
-0.019353384152054787,
-0.05970386415719986,
0.03768165782094002,
-0.027960779145359993,
-0.030293788760900497,
0.03356353938579559,
-0.009217159822583199,
0.005430435761809349,
0.0006638917257077992,
0.011028777807950974,
0.03011704608798027,
0.027395199984312057,
-0.01903524622321129,
-0.013061324134469032,
0.07387866824865341,
-0.02115616388618946,
0.005054856184870005,
-0.04931136220693588,
0.03342214599251747,
0.04970019683241844,
0.036338407546281815,
0.010958080179989338,
0.04199419170618057,
0.026334740221500397,
0.01891152560710907,
-0.030099371448159218,
-0.05358854681253433,
0.026370089501142502,
-0.020078031346201897,
0.024037079885601997,
0.013909691944718361,
0.028190545737743378,
0.016428282484412193,
-0.021438954398036003,
-0.015394335612654686,
0.05323506146669388,
-0.006756009999662638,
-0.03796444460749626,
0.016445957124233246,
-0.0015354567440226674,
0.025945905596017838,
0.014643176458775997,
-0.04255976900458336,
-0.04775601997971535,
-0.0004172797198407352,
0.030753321945667267,
-0.026458460837602615,
0.025132887065410614,
0.0691772997379303,
0.050053682178258896,
-0.01852269098162651,
-0.023895684629678726,
-0.030594252049922943,
-0.033970046788454056,
0.013299928046762943,
0.01917663961648941,
-0.0037778865080326796,
-0.006994613446295261,
0.014431084506213665,
-0.04931136220693588,
-0.013847831636667252,
-0.012840395793318748,
-0.03050588071346283,
-0.021438954398036003,
-0.047155093401670456,
-0.0016613863408565521,
0.029144957661628723,
-0.028897518292069435,
0.005607178900390863,
0.022746853530406952,
-0.024478936567902565,
-0.013061324134469032,
-0.02543335035443306,
-0.028013801202178,
0.0037248635198920965,
0.03458864986896515,
-0.03941373899579048,
0.014386898837983608,
-0.028756123036146164,
-0.015173406340181828,
-0.013450159691274166,
0.0045732310973107815,
-0.0027262642979621887,
-0.015535729937255383,
0.046023935079574585,
0.0553559809923172,
0.009027160704135895,
0.039979320019483566,
0.01857571303844452,
-0.01831059902906418,
0.01799246110022068,
0.033510517328977585,
0.06642010807991028,
-0.00323881977237761,
-0.06069362536072731,
-0.04658951610326767,
0.08066561073064804,
-0.01063994225114584,
0.027660315856337547,
0.001662491005845368,
-0.005386250093579292,
0.027306828647851944,
-0.042064886540174484,
-0.02852635644376278,
0.011346914805471897,
0.02366591803729534,
-0.03736351802945137,
-0.01818687841296196,
0.04595324024558067,
0.04033280536532402,
-0.05351784825325012,
-0.009809249080717564,
-0.0342881865799427,
0.009570646099746227,
0.007569028530269861,
-0.005275785457342863,
0.012106911279261112,
0.018805479630827904,
0.00469253258779645,
-0.03860072046518326,
0.0032675403635948896,
0.04291325435042381,
-0.011152497492730618,
0.028491009026765823,
-0.03181378170847893,
-0.08575581759214401,
-0.010259944014251232,
0.00866483710706234,
0.002178360242396593,
-0.013600391335785389,
-0.023436151444911957,
0.0028035894501954317,
0.03750491142272949,
-0.019229663535952568,
-0.003316144924610853,
0.027112411335110664,
0.01575665920972824,
-0.030806344002485275,
0.027925429865717888,
0.015199917368590832,
-0.013458997011184692,
0.013352951034903526,
0.01977756805717945,
0.03045285865664482,
0.012990627437829971,
0.028349613770842552,
0.0016956303734332323,
0.008116932585835457,
-0.010701802559196949,
-0.009994830004870892,
0.06182477995753288,
-0.05100809410214424,
-0.001228365465067327,
-0.016092471778392792,
0.006004851311445236,
-0.04666021093726158,
0.0034045164939016104,
0.022110577672719955,
-0.04994763806462288,
-0.0062832217663526535,
0.012513420544564724,
0.015102708712220192,
-0.021721743047237396,
0.00965901743620634,
0.030417509377002716,
0.02069663256406784,
0.007286239415407181,
-0.016764095053076744,
0.03531329706311226,
-0.04719044268131256,
-0.022517086938023567,
0.022446390241384506,
-0.019989660009741783,
0.03540166839957237,
0.026051951572299004,
-0.002962658414617181,
0.007613214664161205,
-0.0030952158849686384,
0.017612462863326073,
0.02806682512164116,
0.013423648662865162,
-0.009632506407797337,
-0.03368726000189781,
0.005549737252295017,
0.01930036023259163,
-0.0038795138243585825,
0.01661386340856552,
-0.007078566122800112,
-0.00014056610234547406,
-0.0355960875749588,
-0.04499882459640503,
-0.007546935696154833,
-0.017020372673869133,
0.020060356706380844,
-0.0070034503005445,
-0.02707706205546856,
-0.02753659524023533,
0.023082666099071503,
0.016057122498750687,
0.031000763177871704,
0.008161118254065514,
0.005775085184723139,
-0.011673890054225922,
0.030541229993104935,
0.03564910963177681,
-0.019158966839313507,
0.06189547851681709,
-0.0012338886735960841,
0.022499412298202515,
0.00531997112557292,
0.02787240780889988,
-0.035684458911418915,
-0.010949242860078812,
-0.04711974412202835,
-0.040615592151880264,
0.0027107992209494114,
-0.024143125861883163,
0.010436687618494034,
-0.010180409997701645,
-0.01633991114795208,
0.007356937043368816,
0.033121682703495026,
0.006402523256838322,
-0.026511484757065773,
0.0197598934173584,
-0.011064126156270504,
0.013803645968437195,
-0.01426317822188139,
0.020608261227607727,
-0.011744587682187557,
0.00915529951453209,
0.016649212688207626,
-0.011505983769893646,
-0.017285488545894623,
0.034093767404556274,
0.007259727921336889,
0.007564610335975885,
0.012062725611031055,
-0.054472263902425766,
-0.006097641307860613,
-0.07281821221113205,
0.015155731700360775,
0.06574848294258118,
-0.014272015541791916,
-0.01949477754533291,
0.0031681223772466183,
0.023224059492349625,
-0.0276779904961586,
-0.02642311342060566,
0.007339262403547764,
-0.018540363758802414,
-0.013114347122609615,
0.014386898837983608,
0.02458498254418373,
0.005209506489336491,
0.029940303415060043,
-0.010613431222736835,
0.006981357466429472,
-0.0382118858397007,
0.015668287873268127,
-0.014378061518073082,
-0.00919064786285162,
-0.015968751162290573,
0.038530025631189346,
0.02516823634505272,
0.05970386415719986,
-0.0335988886654377,
0.019918961450457573,
-0.025026841089129448,
-0.0161454938352108,
-0.01627805083990097,
0.005426017101854086,
-0.03994397073984146,
-0.059809908270835876,
-0.06274384260177612,
0.00438102288171649,
-0.020254774019122124,
0.04524626582860947,
-0.016693398356437683,
0.029869604855775833,
-0.029304027557373047,
0.007339262403547764,
-0.0016061541391536593,
0.014121783897280693,
0.0062301987782120705,
-0.02444358915090561,
-0.01871710829436779,
0.01726781390607357,
-0.0002841699752025306,
0.0342705138027668,
0.02412545122206211,
0.04015606269240379,
0.04369092732667923,
0.013715274631977081,
0.014864105731248856,
-0.025945905596017838,
0.0362323634326458,
-0.04178209975361824,
-0.00441637123003602,
0.005253692623227835,
0.002428010106086731,
-0.019795240834355354,
0.011541333049535751,
-0.014006900601089,
-0.042524419724941254,
0.060587577521800995,
-0.029215656220912933,
0.0018182459753006697,
0.005934153683483601,
0.013847831636667252,
0.01469619944691658,
0.0024014986120164394,
0.015279452316462994,
0.0033669585827738047,
-0.002529637422412634,
-0.04902857169508934,
-0.05330575630068779,
0.020466865971684456,
0.013953877612948418,
0.02016640268266201,
-0.033775631338357925,
-0.050442516803741455,
-0.0023970799520611763,
-0.03460632264614105,
-0.029427748173475266,
-0.014881779439747334,
-0.004559975117444992,
-0.02161569707095623,
-0.023011967539787292,
0.029692862182855606,
-0.003740328596904874,
-0.041075125336647034,
0.008130188100039959,
-0.012672489508986473,
0.016967350617051125,
-0.004860438872128725,
0.004071722272783518,
-0.02287057414650917,
0.0032852147705852985,
0.009694365784525871,
0.04673090949654579,
0.02188081108033657,
0.018345946446061134,
-0.007184612099081278,
-0.03234400972723961,
0.034818414598703384,
-0.06083501875400543,
0.008616232313215733,
-0.003906025318428874,
0.02398405596613884,
0.033121682703495026,
0.013061324134469032,
0.020537562668323517,
0.05068995803594589,
0.010966917499899864,
0.00903157889842987,
-0.021403605118393898,
0.041216522455215454,
-0.011824121698737144,
-0.0559922531247139,
0.03920164704322815,
-0.005227181129157543,
-0.05309366434812546,
0.020519888028502464,
0.01600409857928753,
-0.02682962268590927,
-0.030329138040542603,
-0.0005539795383810997,
0.029675187543034554,
0.037010032683610916,
0.01832827366888523,
-0.011505983769893646,
0.017806880176067352,
0.0032454475294798613,
0.045423008501529694,
-0.015827355906367302,
0.01117017213255167,
0.0395551361143589,
0.015562240965664387,
-0.04231232777237892,
0.013741785660386086,
0.023878009989857674,
-0.006857637315988541,
0.01771850883960724,
-0.020113378763198853,
0.029180306941270828,
0.015509217977523804,
-0.007825306616723537,
-0.020201750099658966,
0.01456364244222641,
-0.023754289373755455,
-0.0329626128077507,
-0.007719260640442371,
-0.0013509810669347644,
-0.01818687841296196
] |
Understanding the host-specificity of different families of viruses sheds
light on the origin of, e.g., SARS-CoV-2, rabies, and other such zoonotic
pathogens in humans. It enables epidemiologists, medical professionals, and
policymakers to curb existing epidemics and prevent future ones promptly. In
the family Coronaviridae (of which SARS-CoV-2 is a member), it is well-known
that the spike protein is the point of contact between the virus and the host
cell membrane. On the other hand, the two traditional mammalian orders,
Carnivora (carnivores) and Chiroptera (bats) are recognized to be responsible
for maintaining and spreading the Rabies Lyssavirus (RABV). We propose
Virus2Vec, a feature-vector representation for viral (nucleotide or amino acid)
sequences that enable vector-space-based machine learning models to identify
viral hosts. Virus2Vec generates numerical feature vectors for unaligned
sequences, allowing us to forego the computationally expensive sequence
alignment step from the pipeline. Virus2Vec leverages the power of both the
\emph{minimizer} and position weight matrix (PWM) to generate compact feature
vectors. Using several classifiers, we empirically evaluate Virus2Vec on
real-world spike sequences of Coronaviridae and rabies virus sequence data to
predict the host (identifying the reservoirs of infection). Our results
demonstrate that Virus2Vec outperforms the predictive accuracies of baseline
and state-of-the-art methods. | [
-0.056557390838861465,
0.01769675686955452,
-0.03431003913283348,
-0.015168648213148117,
0.05933830887079239,
-0.004539308603852987,
-0.024089258164167404,
-0.012134918943047523,
0.0016816433053463697,
0.04063030704855919,
-0.010175635106861591,
-0.002629683818668127,
-0.017227251082658768,
-0.020152634009718895,
-0.05941053852438927,
-0.012857235036790371,
-0.01766064018011093,
0.002740288618952036,
0.012333556078374386,
-0.02080271765589714,
-0.002244824543595314,
-0.02305995672941208,
-0.00019849598174914718,
-0.015493690967559814,
0.007494034711271524,
0.008694886229932308,
-0.024179548025131226,
-0.0030879033729434013,
-0.05150117352604866,
0.05926607549190521,
0.04012468829751015,
0.003974998369812965,
-0.016622310504317284,
0.01785927824676037,
-0.05023711919784546,
-0.03270288556814194,
-0.016956381499767303,
0.07168992608785629,
-0.07342348247766495,
0.012333556078374386,
0.008405959233641624,
-0.005060730502009392,
-0.014527592808008194,
-0.05756863206624985,
0.01828363910317421,
0.05128447711467743,
-0.04785347357392311,
0.013164220377802849,
0.004566395189613104,
-0.030174775049090385,
0.01841907389461994,
0.01739880070090294,
-0.011683470569550991,
-0.025046328082680702,
-0.03662145137786865,
0.04492809250950813,
-0.020658254623413086,
0.00937205832451582,
0.05146505683660507,
-0.011141733266413212,
-0.011611239053308964,
0.03282928839325905,
0.03976352885365486,
-0.02033321186900139,
0.007688157260417938,
0.028170347213745117,
0.012171034701168537,
-0.01883440464735031,
-0.028043942525982857,
-0.033443257212638855,
-0.045903220772743225,
-0.0017335598822683096,
0.06320270150899887,
0.0014694628771394491,
-0.01841004379093647,
0.00036595494020730257,
0.02311413176357746,
0.03770492598414421,
0.06663370877504349,
0.006180321332067251,
0.04532536491751671,
0.05280134454369545,
0.01615280471742153,
0.04052196070551872,
0.1208435669541359,
-0.02638261392712593,
0.005674699787050486,
-0.051862332969903946,
-0.01563815400004387,
-0.028043942525982857,
-0.059988394379615784,
0.02428789623081684,
0.06060236319899559,
0.015818733721971512,
-0.05460713431239128,
0.01699249818921089,
-0.0015281511005014181,
-0.003054044907912612,
-0.003175935707986355,
-0.03234172612428665,
0.026075629517436028,
0.0058778515085577965,
0.0008380000945180655,
-0.039691295474767685,
-0.01423866581171751,
-0.029596922919154167,
-0.030897092074155807,
0.008857407607138157,
-0.05854376032948494,
0.1496639996767044,
0.029867790639400482,
-0.033858589828014374,
-0.009114732965826988,
0.03792162239551544,
-0.034743428230285645,
0.019827591255307198,
-0.08241632580757141,
-0.025389429181814194,
-0.052656881511211395,
-0.0453614816069603,
0.03221531957387924,
0.05753251537680626,
0.048503559082746506,
-0.01304684393107891,
-0.01643270254135132,
0.035411570221185684,
0.0018159491010010242,
-0.018762173131108284,
0.02847733162343502,
0.039655182510614395,
-0.03745211660861969,
-0.05225960537791252,
0.005805619526654482,
-0.04807016998529434,
0.023493347689509392,
0.005539265461266041,
0.042038824409246445,
0.031980566680431366,
0.006726573221385479,
-0.023800332099199295,
-0.03098738193511963,
-0.024901865050196648,
-0.060566246509552,
0.00788228027522564,
0.024125374853610992,
-0.03972741216421127,
-0.02994002215564251,
0.02918159030377865,
-0.046444956213235855,
-0.02210288867354393,
-0.023348884657025337,
-0.008609111420810223,
0.03165552392601967,
0.015872906893491745,
0.051645636558532715,
0.0006207408150658011,
0.022752972319722176,
-0.031312424689531326,
0.021326398476958275,
-0.016324354335665703,
0.026400672271847725,
-0.0336238369345665,
-0.023132188245654106,
0.015015156008303165,
0.03752434626221657,
0.03561021015048027,
-0.013832363300025463,
-0.03792162239551544,
-0.04846744239330292,
0.008297611959278584,
-0.02625620923936367,
-0.0032007654663175344,
-0.010916009545326233,
0.03304598480463028,
-0.08573897927999496,
0.0072592818178236485,
-0.02356557920575142,
0.006744631100445986,
0.0061442055739462376,
0.030626224353909492,
-0.04142485558986664,
0.03286540508270264,
-0.02759249322116375,
0.03398499637842178,
0.029001010581851006,
0.04034138098359108,
0.09137304872274399,
0.04637272655963898,
0.01681191846728325,
-0.04131650924682617,
0.014482447877526283,
0.003952426370233297,
0.03351549059152603,
0.00038852731813676655,
-0.017136961221694946,
-0.007137390784919262,
-0.021741729229688644,
0.0019355827243998647,
0.013642754405736923,
0.015475633554160595,
0.010581938549876213,
-0.0336238369345665,
-0.02457682229578495,
0.010220780037343502,
0.008387901820242405,
0.02268074080348015,
0.0076430123299360275,
-0.009913795627653599,
0.010979211889207363,
-0.05514887347817421,
-0.018726058304309845,
-0.07461530715227127,
-0.06703098118305206,
0.020242922008037567,
0.05132059380412102,
-0.022157061845064163,
0.022590450942516327,
-0.02549777552485466,
-0.01849130541086197,
0.05045381560921669,
0.002250467659905553,
-0.013976826332509518,
0.06410560011863708,
-0.024089258164167404,
0.032233379781246185,
-0.028423158451914787,
-0.035881076008081436,
0.02566029690206051,
-0.04604768380522728,
0.01358858123421669,
0.025479717180132866,
0.03463508188724518,
0.034328095614910126,
-0.0032775115687400103,
-0.00035749029484577477,
-0.057099126279354095,
0.0056069823913276196,
-0.025949222967028618,
-0.012803061865270138,
-0.04398908093571663,
0.0005047751474194229,
0.014816518872976303,
-0.0032481674570590258,
-0.0005391980521380901,
-0.0056656706146895885,
0.02432401105761528,
-0.08154954761266708,
0.08292194455862045,
-0.009155362844467163,
0.05601565167307854,
0.009733215905725956,
-0.029741385951638222,
0.04705892503261566,
0.02629232406616211,
-0.05388481914997101,
-0.0057830470614135265,
0.0006156620220281184,
0.0290190689265728,
-0.07627663016319275,
-0.012017542496323586,
-0.003464862471446395,
0.02784530445933342,
-0.005715330131351948,
0.014563708566129208,
0.051140014082193375,
-0.03573661297559738,
0.07392910122871399,
-0.055004410445690155,
0.01794956810772419,
-0.007038072217255831,
-0.004555108956992626,
-0.012974611483514309,
-0.027538320049643517,
0.0035799816250801086,
0.012152976356446743,
-0.040955349802970886,
0.02708687260746956,
-0.021272223442792892,
0.0681866854429245,
0.007421803195029497,
-0.0014830062864348292,
0.011204936541616917,
0.01845518872141838,
-0.002107132924720645,
-0.04373627156019211,
-0.016784831881523132,
-0.0608912892639637,
-0.02584087662398815,
-0.0631304681301117,
-0.011069501750171185,
0.021543093025684357,
-0.030969323590397835,
-0.008676827885210514,
-0.01243287418037653,
-0.0188705213367939,
-0.03535739704966545,
-0.025154676288366318,
0.04738396778702736,
-0.01924973726272583,
-0.03781327232718468,
-0.04937034100294113,
0.010816691443324089,
0.034671198576688766,
0.058182600885629654,
-0.013146162033081055,
-0.07649333029985428,
0.04478362947702408,
0.06666982173919678,
-0.06190253421664238,
-0.018066944554448128,
0.043266765773296356,
0.023294709622859955,
0.002171464264392853,
-0.004198465030640364,
-0.002519079251214862,
-0.01327256765216589,
-0.0035416085738688707,
-0.07540985196828842,
0.025281080976128578,
-0.04500032588839531,
-0.01899692602455616,
0.007191564422100782,
-0.07309844344854355,
-0.01071737240999937,
0.0026703141629695892,
-0.016206977888941765,
0.024775458499789238,
0.041749898344278336,
0.016324354335665703,
0.03179998695850372,
0.004058516584336758,
-0.06233592331409454,
-0.056846316903829575,
0.019647011533379555,
0.02733968384563923,
-0.02508244477212429,
0.010184664279222488,
0.0466255359351635,
-0.017425887286663055,
0.0031556205358356237,
-0.0348878912627697,
-0.006302212364971638,
0.010961154475808144,
0.044891975820064545,
-0.005421889014542103,
-0.0244143009185791,
-0.0434473417699337,
0.01719113439321518,
-0.023926736786961555,
-0.01820237748324871,
0.0010236580856144428,
-0.023619752377271652,
0.02260850928723812,
-0.02780918963253498,
-0.0013475719606503844,
-0.030842918902635574,
0.0030969323124736547,
-0.04351957514882088,
0.012315497733652592,
0.04817851632833481,
-0.0564490407705307,
-0.024757402017712593,
-0.03727153688669205,
-0.03310015797615051,
-0.06298600882291794,
-0.016712600365281105,
-0.035411570221185684,
-0.045397598296403885,
0.011105617508292198,
0.020784659311175346,
-0.04135262593626976,
-0.010175635106861591,
-0.0060268291272223,
-0.07858804613351822,
-0.060530129820108414,
-0.012920438311994076,
0.06847561150789261,
-0.013714986853301525,
0.020026227459311485,
0.04193047806620598,
-0.04814239963889122,
0.008135090582072735,
-0.04156931862235069,
-0.05753251537680626,
-0.04420577734708786,
0.012225208804011345,
0.03727153688669205,
-0.026310382410883904,
-0.06843949854373932,
0.0650084912776947,
-0.016080573201179504,
-0.027827246114611626,
0.007354085799306631,
-0.03107767179608345,
0.025732528418302536,
-0.03355160728096962,
-0.03308210149407387,
0.012550250627100468,
0.05276522785425186,
0.04164155200123787,
-0.011990455910563469,
-0.03286540508270264,
-0.021795904263854027,
0.03199862688779831,
-0.01828363910317421,
-0.030644280835986137,
0.029452459886670113,
-0.08429434895515442,
-0.0016850292449817061,
-0.01631532609462738,
0.007751360069960356,
0.026978524401783943,
-0.021543093025684357,
0.008035772480070591,
0.007042586803436279,
0.02625620923936367,
0.028495389968156815,
0.02185007743537426,
-0.04012468829751015,
0.01816626265645027,
-0.031438831239938736,
-0.0038711654487997293,
0.05258464813232422,
0.01702861301600933,
-0.05933830887079239,
0.03107767179608345,
0.021579207852482796,
0.008586538955569267,
0.01699249818921089,
-0.030391471460461617,
0.029759444296360016,
0.0478895902633667,
0.003981770481914282,
-0.05305415391921997,
-0.021669497713446617,
-0.019773416221141815,
0.010220780037343502,
-0.02667153999209404,
0.01403099950402975,
-0.03082486055791378,
-0.03660339489579201,
0.011900166049599648,
-0.046408843249082565,
-0.038860633969306946,
-0.06580304354429245,
0.03405722603201866,
0.004123976454138756,
-0.008022229187190533,
0.031980566680431366,
0.009326913394033909,
0.0269604679197073,
0.003081131726503372,
-0.03622417896986008,
-0.029542749747633934,
-0.00038288423093035817,
0.02939828485250473,
-0.03053593449294567,
-0.0437723845243454,
0.046156030148267746,
0.04142485558986664,
0.019935937598347664,
0.013137132860720158,
-0.009850592352449894,
-0.048539675772190094,
0.01572844386100769,
0.02394479513168335,
0.030969323590397835,
-0.02331276796758175,
-0.017507148906588554,
-0.010148548521101475,
0.035754673182964325,
-0.08010490983724594,
0.01618892140686512,
0.03414751589298248,
0.038896750658750534,
-0.021669497713446617,
-0.030391471460461617,
0.017805105075240135,
0.03245007246732712,
0.0608912892639637,
-0.00431809900328517,
0.012920438311994076,
0.01151192095130682,
-0.0049298107624053955,
0.015231851488351822,
-0.013236451894044876,
-0.006952297408133745,
0.00607197405770421,
0.03951071947813034,
-0.00005262189370114356,
0.04496420919895172,
0.011069501750171185,
-0.040449731051921844,
-0.012568308971822262,
-0.0011190264485776424,
0.017173077911138535,
-0.014663026668131351,
0.017841219902038574,
0.08971171826124191,
0.03712707385420799,
-0.015006127767264843,
-0.059952277690172195,
0.019953995943069458,
-0.037885505706071854,
-0.006866522133350372,
0.029055185616016388,
0.024757402017712593,
0.003740245709195733,
0.0041916933842003345,
-0.01584582030773163,
-0.01991788111627102,
0.02558806538581848,
-0.02520884945988655,
-0.00975127425044775,
0.006329299416393042,
-0.02134445495903492,
0.04362792149186134,
0.009679042734205723,
-0.006180321332067251,
0.01636047102510929,
0.0032594536896795034,
-0.03003031201660633,
-0.022373756393790245,
0.05496829375624657,
-0.039438486099243164,
0.02286132052540779,
0.005891394801437855,
-0.025606123730540276,
0.0033361997921019793,
-0.037560462951660156,
-0.005435432307422161,
-0.005453490186482668,
-0.04247221723198891,
0.013254509307444096,
0.010419417172670364,
-0.049045298248529434,
-0.0188705213367939,
0.05337919667363167,
0.016676483675837517,
0.013173248618841171,
-0.032106973230838776,
0.03293763846158981,
-0.0012629254488274455,
-0.026274265721440315,
-0.0405941940844059,
0.04702281206846237,
-0.006514392793178558,
-0.033858589828014374,
-0.03245007246732712,
-0.017344627529382706,
0.005318055860698223,
-0.01568329893052578,
0.020224865525960922,
0.0019784702453762293,
-0.003956940490752459,
-0.04341122880578041,
0.025804759934544563,
-0.03622417896986008,
-0.01941225863993168,
-0.018184321001172066,
-0.012866264209151268,
0.031727757304906845,
0.010220780037343502,
-0.02546166069805622,
-0.014112260192632675,
0.016974439844489098,
-0.011954340152442455,
0.033948879688978195,
-0.0488286018371582,
-0.011394544504582882,
0.028495389968156815,
0.0005727745010517538,
-0.01975535973906517,
-0.0069658407010138035,
-0.000156737063662149,
0.0013543436070904136,
0.012324526906013489,
-0.01220715045928955,
0.01002214290201664,
0.005074274260550737,
0.01597222499549389,
-0.00024688555276952684,
0.026888234540820122,
0.010590966790914536,
0.011358428746461868,
0.006591138895601034,
0.002543908776715398,
-0.055546145886182785,
-0.03580884635448456,
-0.022211235016584396,
-0.027899479493498802,
0.033786360174417496,
0.0030247007962316275,
-0.007078702561557293,
0.01820237748324871,
0.02273491583764553,
0.006162263453006744,
0.016658427193760872,
0.046733882278203964,
-0.00012788671301677823,
0.01648687571287155,
0.02889266423881054,
0.0646834522485733,
0.04987595975399017,
-0.030391471460461617,
-0.0067807468585669994,
0.06609196960926056,
0.011177849024534225,
-0.024378186091780663,
0.055257219821214676,
-0.025804759934544563,
-0.056557390838861465,
0.058110371232032776,
0.009688070975244045,
0.005629554856568575,
-0.008035772480070591,
0.03279317542910576,
0.0018543221522122622,
-0.0035461231600493193,
-0.01782316155731678,
0.024143433198332787,
0.009263710118830204,
0.018798289820551872,
-0.02961498126387596,
0.06515295803546906,
0.0148255480453372,
-0.029344111680984497,
-0.02499215491116047,
0.005941053852438927,
-0.031474944204092026,
-0.030499817803502083,
0.007507578004151583,
-0.03972741216421127,
-0.07093148678541183,
-0.03824666514992714,
-0.0253713708370924,
-0.03263065218925476,
0.015466604381799698,
0.016595223918557167,
-0.0025348798371851444,
-0.012261324562132359,
0.010590966790914536,
0.018021799623966217,
0.016640368849039078,
-0.01627921126782894,
-0.004166863858699799,
-0.00007043292134767398,
0.013814304955303669,
0.029091300442814827,
0.04034138098359108,
0.04232775419950485,
0.014310897327959538,
-0.03947460278868675,
0.022066771984100342,
-0.016793860122561455,
-0.0350504145026207,
0.02863985300064087,
-0.04037749767303467,
-0.0008058344828896224,
0.009381086565554142,
0.051934562623500824,
0.02961498126387596,
0.01934002712368965,
-0.02051379159092903,
0.04554206132888794,
-0.03031923994421959,
-0.025010211393237114,
-0.0003052916144952178,
0.030120601877570152,
0.017046671360731125,
0.023096073418855667,
-0.01541243027895689,
-0.0173626858741045,
-0.03665756806731224,
0.026816003024578094,
0.0080086849629879,
0.007029043510556221,
0.04532536491751671,
0.049550916999578476,
-0.019321968778967857,
-0.029127417132258415,
0.04366403818130493,
-0.038932863622903824,
0.01413031853735447,
-0.008117033168673515,
-0.022175120189785957,
0.042291637510061264,
0.04528925195336342,
-0.023583637550473213,
-0.027610551565885544,
-0.053957048803567886,
-0.014644969254732132,
0.03003031201660633,
0.011060472577810287,
0.04922587797045708,
0.03429197892546654,
0.02226541005074978,
-0.032395899295806885,
0.028423158451914787,
-0.011087560094892979,
-0.01214394811540842,
-0.004175893031060696,
-0.01966506987810135,
0.012261324562132359,
-0.030897092074155807,
-0.04702281206846237,
0.02968721278011799,
0.03057204931974411,
-0.0008205065387301147,
0.004699572455137968,
0.020893007516860962,
0.010509706102311611,
-0.015358257107436657,
0.03633252531290054,
0.016080573201179504,
-0.002198551082983613,
0.03273899853229523,
0.0405941940844059,
-0.03958294913172722,
0.056268464773893356,
0.0745430737733841,
0.004830492194741964,
-0.025822818279266357,
-0.020242922008037567,
-0.007457918953150511,
-0.030265064910054207,
-0.03373218700289726,
0.029199648648500443,
-0.016721628606319427,
-0.01541243027895689,
0.035790786147117615,
-0.05287357419729233,
-0.006013285834342241,
0.0003608761471696198,
-0.012180063873529434,
0.013687899336218834,
-0.014906808733940125,
0.019358085468411446,
-0.014319926500320435,
-0.011069501750171185,
-0.017227251082658768,
-0.002767375437542796,
0.0044851345010101795,
-0.02486574836075306,
0.01874411664903164,
0.016414644196629524,
0.011367457918822765,
0.019177505746483803,
-0.007390201557427645,
0.0431223027408123,
0.035375457257032394,
0.005566352512687445,
-0.008108003996312618,
-0.04814239963889122,
-0.03351549059152603,
0.009733215905725956,
0.04557817801833153,
0.009976997971534729,
-0.019701184704899788,
-0.00826149620115757,
0.046986695379018784,
-0.007480491418391466,
0.018094031140208244,
-0.00708773173391819,
0.04005245491862297,
-0.04214717447757721,
-0.018689941614866257,
0.011367457918822765,
-0.0060539161786437035,
0.002055216347798705,
0.005042672622948885,
-0.009290797635912895,
0.005358686204999685,
-0.0022098373156040907,
0.019520606845617294,
0.026527076959609985,
0.015791647136211395,
-0.0033113702666014433,
-0.0030901606660336256,
0.0535958930850029,
-0.06573081016540527,
-0.020441560074687004,
0.014653998427093029,
0.011448717676103115,
-0.0030495303217321634,
-0.016423674300312996,
-0.0036251263227313757,
-0.013850420713424683,
0.013579552061855793,
-0.009670013561844826,
-0.016929294914007187,
-0.029055185616016388,
-0.010554851032793522,
-0.020459618419408798,
0.034725371748209,
0.006360900588333607,
-0.032106973230838776,
-0.00245361914858222,
-0.07371240854263306,
-0.04232775419950485,
0.0329737514257431,
-0.013453146442770958,
0.009579723700881004,
0.04734785482287407,
-0.03393082320690155,
0.03763269633054733,
-0.027159104123711586,
0.026490962132811546,
0.0011985941091552377,
-0.007439861074090004,
-0.02546166069805622,
0.006735602393746376,
-0.007263796404004097,
0.018888579681515694,
0.004555108956992626,
0.019105274230241776,
-0.009841564111411572,
0.019105274230241776,
0.02638261392712593,
0.05413762852549553,
-0.01979147456586361,
0.012812091037631035,
0.01731754094362259,
-0.008545908145606518,
-0.0019807275384664536,
-0.06706709414720535,
0.01861771009862423,
0.005029129330068827,
0.047167275100946426,
0.021904250606894493,
0.02210288867354393,
-0.03665756806731224,
0.021651439368724823,
0.01761549524962902,
0.0072547672316432,
0.0016805146588012576,
0.017814133316278458,
0.0078867943957448,
-0.0007691543432883918,
0.03165552392601967,
-0.00394114013761282,
-0.011773760430514812,
-0.015240880660712719,
-0.01396779716014862,
-0.028964895755052567,
0.008889008313417435,
-0.019520606845617294,
0.05980781465768814,
-0.01618892140686512,
-0.026328440755605698,
-0.0006235623732209206,
-0.0434473417699337,
0.005345142912119627,
0.040955349802970886,
-0.019014984369277954,
-0.005263882223516703,
0.06591138988733292,
-0.022626567631959915,
-0.009006384760141373,
-0.012983640655875206,
0.03183610364794731,
0.01720016449689865,
-0.01130425464361906,
-0.013173248618841171,
0.02898295409977436,
-0.054787714034318924,
0.005480577237904072,
-0.013796246610581875,
-0.007069673854857683,
-0.06728379428386688,
0.0031488488893955946,
-0.00516907824203372,
-0.01033815648406744,
0.07526539266109467,
0.015927081927657127,
-0.004063030704855919,
0.005132962483912706,
0.002061988227069378,
0.006049401592463255,
-0.004943354055285454,
0.05150117352604866,
0.02721327729523182,
0.013218393549323082,
-0.012694714590907097,
0.029199648648500443,
-0.0688006579875946,
-0.006744631100445986,
-0.06764494627714157,
-0.01924973726272583,
-0.04944257065653801,
-0.03922178968787193,
-0.005977170076221228,
-0.010274953208863735,
-0.0010727529879659414,
0.019972054287791252,
-0.0036251263227313757,
0.011701528914272785,
0.03342520073056221,
-0.002322699408978224,
-0.009168906137347221,
0.006279639899730682,
-0.03514070436358452,
-0.049298107624053955,
-0.07284563034772873,
0.03254036232829094,
0.021669497713446617,
0.02121805027127266,
-0.05020100250840187,
0.06652536243200302,
-0.007530150469392538,
-0.005932025145739317,
-0.07692671567201614,
-0.010464562103152275,
0.016884149983525276,
0.010916009545326233,
0.03831889480352402,
0.03234172612428665,
-0.013678870163857937,
0.02340305782854557,
0.01959283836185932,
0.024630995467305183,
-0.008085431531071663,
0.021452803164720535,
0.023746158927679062,
0.01417546346783638,
0.04337511211633682,
-0.01304684393107891,
0.004762775264680386,
-0.007828106172382832,
-0.023294709622859955,
-0.04496420919895172,
0.0033068556804209948,
0.03179998695850372,
-0.016423674300312996,
-0.003191736526787281,
-0.014834577217698097,
-0.026599308475852013,
-0.009001870639622211,
0.021037470549345016,
-0.033696070313453674,
-0.015836792066693306,
0.04063030704855919,
-0.0056656706146895885,
-0.009967968799173832,
-0.037018727511167526,
-0.059699468314647675,
0.021290281787514687,
0.014157405123114586,
-0.033064041286706924,
-0.0028328353073447943,
-0.0057017868384718895,
-0.015322140417993069,
-0.0034829203505069017,
-0.003309112973511219,
-0.023854505270719528,
0.0167306587100029,
-0.020188748836517334,
0.010744458995759487,
-0.014816518872976303,
0.026328440755605698,
0.002433303976431489,
0.05460713431239128,
-0.016369499266147614,
-0.0030111572705209255,
-0.03232366964221001,
-0.03737988322973251,
-0.02549777552485466,
0.008451104164123535,
0.00025535019813105464,
0.016089601442217827,
-0.016829976812005043,
-0.018942752853035927,
-0.003151106182485819,
-0.010690285824239254,
0.002767375437542796,
-0.01273083034902811,
-0.0062525528483092785,
-0.0386800542473793,
-0.02948857471346855,
0.0315471775829792,
0.01803082786500454,
-0.017046671360731125,
0.03526710718870163,
-0.01962895318865776,
0.0061938646249473095,
-0.015267967246472836,
-0.010762517340481281,
-0.03073457069694996,
-0.04965926706790924,
-0.004419674631208181,
0.017371714115142822,
0.0434473417699337,
-0.014951953664422035,
-0.003254939103499055,
0.024811575189232826,
-0.029831675812602043,
0.003620611969381571,
0.0041916933842003345,
-0.00975127425044775,
-0.019647011533379555,
0.004275211598724127,
0.0003512828843668103,
-0.0005033643683418632,
0.03120407648384571,
0.004338413942605257,
0.043591808527708054,
0.10097985714673996,
0.013850420713424683,
-0.05204291269183159,
0.024143433198332787,
0.00809446070343256,
-0.019773416221141815,
0.016261152923107147,
-0.02343917451798916,
-0.006406045518815517,
0.011141733266413212,
0.00332942814566195,
0.0023520435206592083,
0.03142077103257179,
-0.0018046628683805466,
0.013787218369543552,
-0.032395899295806885,
-0.0745430737733841,
0.025425544008612633
] |
Real-time safety assessment (RTSA) of dynamic systems is a critical task that
has significant implications for various fields such as industrial and
transportation applications, especially in non-stationary environments.
However, the absence of a comprehensive review of real-time safety assessment
methods in non-stationary environments impedes the progress and refinement of
related methods. In this paper, a review of methods and techniques for RTSA
tasks in non-stationary environments is provided. Specifically, the background
and significance of RTSA approaches in non-stationary environments are firstly
highlighted. We then present a problem description that covers the definition,
classification, and main challenges. We review recent developments in related
technologies such as online active learning, online semi-supervised learning,
online transfer learning, and online anomaly detection. Finally, we discuss
future outlooks and potential directions for further research. Our review aims
to provide a comprehensive and up-to-date overview of real-time safety
assessment methods in non-stationary environments, which can serve as a
valuable resource for researchers and practitioners in this field. | [
0.015761185437440872,
0.034885209053754807,
-0.03685535863041878,
-0.009145903401076794,
0.043920718133449554,
0.0015858843689784408,
-0.07384658604860306,
0.016100866720080376,
-0.00026922349934466183,
-0.02722540870308876,
0.08940396457910538,
-0.009731852449476719,
0.05332987383008003,
0.016984036192297935,
-0.012873899191617966,
0.025068437680602074,
-0.01250874251127243,
-0.0204148106276989,
0.036651547998189926,
-0.016788719221949577,
0.03770456090569496,
0.0071630170568823814,
-0.004606919828802347,
0.06977041810750961,
-0.02532319724559784,
0.006381751503795385,
0.03821408003568649,
-0.008449558168649673,
-0.06871741265058517,
0.03597218915820122,
-0.013858973048627377,
-0.01739165186882019,
-0.01982036978006363,
0.01184636540710926,
-0.04116930440068245,
-0.01577816903591156,
0.06552441418170929,
0.061448242515325546,
-0.005163147114217281,
0.04364897310733795,
0.012873899191617966,
-0.012279458343982697,
-0.028855876997113228,
-0.009808280505239964,
-0.022486863657832146,
0.01878434419631958,
-0.01710292510688305,
-0.000132886809296906,
0.002681354759261012,
0.021807502955198288,
-0.00766829214990139,
-0.03391712158918381,
0.03220173344016075,
-0.011124543845653534,
-0.002422348130494356,
-0.032830141484737396,
0.05370352044701576,
0.016601895913481712,
0.02187543921172619,
-0.03559853881597519,
0.01719633676111698,
0.04521150514483452,
-0.05621716007590294,
0.010453674010932446,
0.01951465755701065,
-0.06797011196613312,
0.010436690412461758,
-0.07031390815973282,
-0.03242252394556999,
-0.019871322438120842,
-0.08899635076522827,
0.006279847119003534,
-0.012975803576409817,
0.0015243171947076917,
0.028074610978364944,
-0.014869523234665394,
-0.0082415034994483,
0.06542250514030457,
-0.04972925782203674,
0.019786402583122253,
0.04059184715151787,
0.11127940565347672,
-0.035122986882925034,
-0.014096749946475029,
-0.03128459304571152,
0.004449817351996899,
-0.023064320906996727,
-0.06501489132642746,
0.08131956309080124,
-0.04483785480260849,
-0.028516195714473724,
0.028669051826000214,
0.025357166305184364,
0.03933502733707428,
0.032031890004873276,
0.010351769626140594,
-0.007095080800354481,
-0.030418409034609795,
-0.04375087842345238,
0.028940796852111816,
0.05336384102702141,
-0.04864227771759033,
-0.015413012355566025,
0.028821909800171852,
0.0365496464073658,
-0.0737786516547203,
-0.0322696678340435,
0.04966131970286369,
-0.013459848240017891,
0.11997523158788681,
-0.012585170567035675,
0.05203908681869507,
-0.002252507722005248,
0.03801027312874794,
-0.06943073868751526,
0.01856355182826519,
0.02039782702922821,
-0.07921354472637177,
0.02848222851753235,
-0.008874158374965191,
-0.0037938090972602367,
0.08634684234857559,
0.0007499513449147344,
-0.0456530898809433,
-0.04466801509261131,
0.011897317133843899,
0.0032545658759772778,
0.0048574344255030155,
-0.07608848065137863,
-0.014444923028349876,
0.03780646249651909,
0.018954183906316757,
0.011574620380997658,
0.038791537284851074,
-0.0036345836706459522,
-0.0006607851246371865,
-0.0011071468470618129,
0.03164125978946686,
-0.009969629347324371,
-0.009884708561003208,
-0.048472438007593155,
-0.03559853881597519,
-0.03559853881597519,
0.02216416597366333,
0.029093652963638306,
0.05105401203036308,
-0.031012849882245064,
0.017527524381875992,
-0.03553060442209244,
0.07900973409414291,
-0.0031484155915677547,
0.021841470152139664,
0.0023544118739664555,
0.0076173399575054646,
0.02912762202322483,
0.057134296745061874,
-0.0457889623939991,
-0.010861290618777275,
0.023454952985048294,
-0.04021819680929184,
0.03536076098680496,
-0.030944913625717163,
0.01571023277938366,
0.06905709207057953,
0.04735149070620537,
-0.03403600677847862,
0.03215077891945839,
-0.05095210671424866,
-0.05129178985953331,
0.0322696678340435,
-0.03851979225873947,
-0.011863349005579948,
-0.025934623554348946,
0.06253521889448166,
0.05200511962175369,
0.020754491910338402,
0.039810579270124435,
0.017799269407987595,
0.015285632573068142,
0.011871840804815292,
-0.031369514763355255,
0.011285891756415367,
0.021331949159502983,
-0.021094173192977905,
0.025951607152819633,
0.01295032724738121,
0.04864227771759033,
-0.024270188063383102,
0.007927298545837402,
0.014742143452167511,
-0.016279198229312897,
0.023947490379214287,
0.033730294555425644,
0.002725937869399786,
0.022945431992411613,
0.0131031833589077,
-0.05115591734647751,
0.011761444620788097,
0.003972141537815332,
0.016865147277712822,
-0.052718449383974075,
-0.009349712170660496,
-0.001406490453518927,
-0.03722900524735451,
0.0318620502948761,
-0.042086441069841385,
0.03977661207318306,
0.029331430792808533,
0.0023926261346787214,
-0.07636022567749023,
-0.03851979225873947,
-0.017374668270349503,
-0.026834776625037193,
0.02114512398838997,
-0.008678842335939407,
-0.015132776461541653,
0.03641377389431,
-0.01053010206669569,
0.024185266345739365,
0.020211001858115196,
0.0502048097550869,
0.005494335666298866,
0.01710292510688305,
-0.0010439874604344368,
-0.03102983348071575,
-0.031675226986408234,
-0.007774442434310913,
-0.015854597091674805,
-0.023454952985048294,
0.010479150339961052,
-0.003534802468493581,
-0.01126890815794468,
0.006810598541051149,
-0.044362302869558334,
-0.01126041542738676,
0.007358333561569452,
0.006695955991744995,
-0.009010030888020992,
-0.006139729171991348,
-0.05085020512342453,
0.0028766710311174393,
-0.0009627825347706676,
-0.016525467857718468,
-0.026766840368509293,
0.015090315602719784,
0.012551202438771725,
0.004124997649341822,
0.06943073868751526,
0.019107040017843246,
0.0368213914334774,
-0.015132776461541653,
-0.046264514327049255,
-0.04653625935316086,
-0.036277901381254196,
-0.02369273081421852,
0.0011623449390754104,
0.04595880210399628,
-0.025577958673238754,
0.013926909305155277,
-0.016389595344662666,
0.05621716007590294,
0.0034753582440316677,
-0.03634583577513695,
0.049117833375930786,
-0.025221293792128563,
0.026902712881565094,
0.10815434157848358,
0.03325474262237549,
0.011829380877315998,
-0.02230003848671913,
-0.01900513656437397,
-0.04738546162843704,
-0.019769417122006416,
-0.0008348714909516275,
0.024626852944493294,
-0.014945951290428638,
0.05217495933175087,
0.010615022853016853,
0.017187844961881638,
0.021807502955198288,
-0.032541412860155106,
-0.05288828909397125,
0.028821909800171852,
-0.031012849882245064,
-0.0391651876270771,
-0.03678742051124573,
0.012024697847664356,
0.014122226275503635,
-0.01915799267590046,
0.0034689893946051598,
-0.012593662366271019,
-0.047657206654548645,
-0.05057846009731293,
0.0036982737947255373,
0.017315223813056946,
0.04918576776981354,
-0.036583613604307175,
-0.02618938311934471,
-0.006645004265010357,
-0.023794634267687798,
-0.003662182716652751,
-0.03546266630291939,
0.054858434945344925,
0.04599276930093765,
0.001883105025626719,
-0.029297461733222008,
0.018597519025206566,
0.02936539798974991,
-0.0011782675283029675,
-0.08390113711357117,
-0.043173421174287796,
-0.05974983796477318,
-0.0008502632845193148,
-0.03451156243681908,
0.01390992570668459,
-0.0017610322684049606,
-0.00964693259447813,
0.013570244424045086,
0.013527784496545792,
-0.02832937240600586,
-0.0035857546608895063,
0.015158251859247684,
-0.03726297616958618,
0.013120167888700962,
-0.047589268535375595,
-0.019124023616313934,
0.032847125083208084,
0.015786660835146904,
-0.077786885201931,
-0.01537055242806673,
-0.021960359066724777,
0.046128641813993454,
-0.08199892193078995,
-0.03398505598306656,
0.04650229215621948,
0.0366855189204216,
-0.03559853881597519,
0.0036515677347779274,
-0.036515675485134125,
-0.0071587711572647095,
0.004730054177343845,
-0.03038443997502327,
-0.04368294030427933,
-0.029908888041973114,
0.011090575717389584,
-0.018376726657152176,
0.023539874702692032,
0.016763243824243546,
-0.006628020200878382,
0.029671110212802887,
0.0007292520604096353,
-0.02824445255100727,
0.0023459200747311115,
-0.023437969386577606,
0.04313945025205612,
-0.02252083085477352,
-0.015209204517304897,
-0.03125062584877014,
0.010113993659615517,
-0.03818011283874512,
0.028787940740585327,
-0.09055887907743454,
-0.030129680410027504,
0.04932164028286934,
-0.04589086398482323,
0.017221812158823013,
-0.029331430792808533,
-0.034222833812236786,
0.024406058713793755,
0.004311822354793549,
-0.012058665975928307,
0.014886507764458656,
0.0387575700879097,
-0.025798751041293144,
-0.00268772360868752,
-0.017001019790768623,
0.008169321343302727,
-0.01909005641937256,
-0.032762207090854645,
0.031454432755708694,
-0.003511449322104454,
-0.041508983820676804,
0.013332468457520008,
0.021314965561032295,
-0.022113215178251266,
0.05716826394200325,
0.04623054713010788,
-0.040116291493177414,
-0.011022639460861683,
0.05805143341422081,
0.021077187731862068,
0.011702001094818115,
-0.032099828124046326,
-0.04225628077983856,
0.032762207090854645,
-0.036583613604307175,
0.012933343648910522,
-0.037908367812633514,
0.011685016565024853,
-0.040252164006233215,
-0.020873380824923515,
-0.002405364066362381,
0.014971427619457245,
0.05652287229895592,
-0.02598557434976101,
-0.04616260901093483,
-0.03685535863041878,
0.014767618849873543,
-0.007175755221396685,
0.007489959709346294,
0.03705916553735733,
-0.03617599606513977,
-0.003706765826791525,
0.02554398961365223,
0.017408637329936028,
0.01849561557173729,
0.05387336015701294,
0.009714868851006031,
-0.012687074951827526,
-0.05224289372563362,
-0.06885328143835068,
-0.00859816838055849,
0.026987632736563683,
0.03318680450320244,
-0.02802366018295288,
0.04181469604372978,
-0.01893720030784607,
-0.007952774874866009,
-0.04269786551594734,
-0.0528203509747982,
0.028567148372530937,
-0.03515695407986641,
-0.004776760004460812,
-0.03814614564180374,
0.0038235310930758715,
-0.018155934289097786,
0.023675745353102684,
0.010699942708015442,
-0.048914022743701935,
0.005825524218380451,
-0.04262993112206459,
0.05098607763648033,
-0.08057226985692978,
0.023675745353102684,
0.021841470152139664,
-0.031301576644182205,
0.036074090749025345,
0.02369273081421852,
0.0058594923466444016,
-0.014224129728972912,
-0.008738286793231964,
0.07554499059915543,
-0.005800048355013132,
-0.007553650066256523,
-0.00998661294579506,
-0.03794233500957489,
0.0009171379497274756,
-0.06015745550394058,
-0.007965512573719025,
-0.014810079708695412,
0.0524127334356308,
0.06566028296947479,
0.04242612048983574,
-0.01364667247980833,
0.034596480429172516,
0.029399367049336433,
-0.03140348196029663,
-0.02877095714211464,
0.008033448830246925,
-0.012118109501898289,
-0.005006044637411833,
-0.035496633499860764,
0.014054290018975735,
0.03440965712070465,
-0.005035766866058111,
-0.027310330420732498,
-0.017561493441462517,
-0.02817651629447937,
-0.02941635064780712,
-0.06983835250139236,
-0.016100866720080376,
0.05648890510201454,
0.03369632735848427,
0.004488031379878521,
0.021450838074088097,
0.017646413296461105,
0.006241633091121912,
-0.01878434419631958,
-0.02134893275797367,
-0.017782285809516907,
-0.02656303159892559,
-0.020720524713397026,
0.0009473907412029803,
-0.006335045211017132,
-0.015413012355566025,
-0.021586710587143898,
0.010632006451487541,
-0.013808021321892738,
0.08587128669023514,
-0.005129178985953331,
0.00888265110552311,
0.009969629347324371,
0.0010063041700050235,
0.01097168680280447,
-0.03478330373764038,
0.015098808333277702,
0.00031102015054784715,
-0.0021782026160508394,
-0.05431494861841202,
-0.05285431817173958,
0.020075131207704544,
0.025408117100596428,
-0.04001438990235329,
0.0037003967445343733,
-0.014028813689947128,
0.05879873409867287,
-0.019344817847013474,
-0.04191660135984421,
0.021756550297141075,
0.059410158544778824,
0.040761686861515045,
0.028159530833363533,
0.026444144546985626,
0.002713199704885483,
-0.010105500929057598,
-0.016126342117786407,
0.041712790727615356,
0.011829380877315998,
0.028584131971001625,
-0.028431275859475136,
-0.03053729608654976,
0.021230045706033707,
-0.03131856396794319,
-0.009069475345313549,
0.0022652458865195513,
-0.00920534785836935,
0.017867205664515495,
0.04497372731566429,
-0.016202770173549652,
-0.029382381588220596,
-0.046060703694820404,
0.03289807587862015,
-0.012644615024328232,
-0.023828603327274323,
-0.0029085162095725536,
0.022367974743247032,
0.041712790727615356,
-0.012873899191617966,
-0.0033267480321228504,
0.008390113711357117,
-0.009595979936420918,
0.020941317081451416,
-0.009961136616766453,
0.03257538005709648,
-0.02150178886950016,
0.011404779739677906,
-0.03384918347001076,
-0.030282536521553993,
0.007022898644208908,
0.0015784538118168712,
-0.008632136508822441,
-0.010046057403087616,
0.06362219899892807,
-0.027972707524895668,
0.005354217253625393,
-0.03529282659292221,
0.042154375463724136,
0.013077707961201668,
0.022486863657832146,
0.0005647192010655999,
-0.034460607916116714,
0.025662878528237343,
-0.026766840368509293,
-0.05105401203036308,
-0.005332987289875746,
-0.018240854144096375,
0.005651438143104315,
-0.015676265582442284,
-0.05200511962175369,
-0.017094431445002556,
-0.010886766947805882,
-0.02163766138255596,
0.03838391974568367,
-0.005884968675673008,
0.019344817847013474,
-0.002509391400963068,
-0.029399367049336433,
-0.035632506012916565,
0.06946470588445663,
-0.013077707961201668,
0.002188817597925663,
-0.014156194403767586,
0.008959079161286354,
-0.012585170567035675,
-0.06885328143835068,
-0.000585949223022908,
0.016381103545427322,
-0.02216416597366333,
-0.010113993659615517,
-0.01798609457910061,
0.06898915767669678,
0.06294284015893936,
-0.010266849771142006,
0.06267109513282776,
0.004505015444010496,
0.054926373064517975,
-0.006628020200878382,
-0.01893720030784607,
-0.04972925782203674,
-0.0026749856770038605,
0.023539874702692032,
-0.015761185437440872,
0.056828584522008896,
-0.025442086160182953,
0.03444362431764603,
0.016015945002436638,
0.08070813864469528,
0.03947089985013008,
-0.015022379346191883,
-0.005035766866058111,
0.011116051115095615,
0.01320508774369955,
0.015073332004249096,
0.015574361197650433,
-0.005252313334494829,
0.023013368248939514,
0.025425102561712265,
-0.012245490215718746,
-0.03245649114251137,
-0.011099067516624928,
-0.0204148106276989,
0.004129243548959494,
0.010513118468225002,
-0.007073850836604834,
-0.007523927837610245,
-0.015005395747721195,
0.02172258123755455,
0.030995866283774376,
-0.012355886399745941,
0.03089396096765995,
-0.008691580034792423,
-0.024983515962958336,
-0.002492407336831093,
0.06532060354948044,
-0.0006958147278055549,
-0.005625961814075708,
-0.017247289419174194,
0.0018597518792375922,
0.02143385261297226,
0.004313945304602385,
-0.046196576207876205,
0.04184866324067116,
0.008874158374965191,
0.031063802540302277,
-0.01584610529243946,
-0.007388055790215731,
0.018954183906316757,
0.002747167833149433,
-0.022622736170887947,
-0.01486103143543005,
0.0009012154187075794,
-0.0029106391593813896,
0.001083793817088008,
0.03729694336652756,
0.043411195278167725,
0.05451875552535057,
0.04188263416290283,
0.023981459438800812,
-0.001886289450339973,
0.06589806079864502,
-0.03736487776041031,
-0.07106120884418488,
-0.045619118958711624,
0.021586710587143898,
-0.014096749946475029,
-0.033271726220846176,
0.017731333151459694,
0.0408296212553978,
0.003505080472677946,
-0.048098791390657425,
0.04419246315956116,
-0.0409654937684536,
0.003167522605508566,
0.08383320271968842,
-0.04558515176177025,
-0.007315873634070158,
-0.013349452055990696,
-0.0023989949841052294,
-0.0074814679101109505,
0.024898596107959747,
-0.02209623157978058,
0.0024350860621780157,
0.047589268535375595,
-0.004294838290661573,
0.019056089222431183,
-0.026291288435459137,
-0.039878517389297485,
-0.03311887010931969,
0.019548624753952026,
-0.006878534331917763,
-0.013273024000227451,
-0.027497153729200363,
-0.01721332035958767,
0.013519292697310448,
0.0017737702000886202,
0.03546266630291939,
0.011837872676551342,
-0.01871640793979168,
0.004827712196856737,
-0.035190921276807785,
0.003657936817035079,
0.02561192587018013,
-0.013544769026339054,
-0.006594052072614431,
0.047996886074543,
-0.00566842220723629,
-0.007515436038374901,
-0.024083362892270088,
-0.025815734639763832,
0.0239305067807436,
-0.020652588456869125,
-0.01540452055633068,
0.028278419747948647,
-0.07418626546859741,
-0.041712790727615356,
0.0023989949841052294,
-0.017187844961881638,
-0.03733091056346893,
-0.039810579270124435,
0.0017175106331706047,
0.04589086398482323,
-0.02238496020436287,
0.012135094031691551,
0.014996903948485851,
0.0455172173678875,
-0.0078041646629571915,
0.01573571003973484,
-0.008356145583093166,
-0.01754450984299183,
0.00012870714999735355,
-0.006059054750949144,
-0.004407357424497604,
0.005031520500779152,
-0.021705597639083862,
-0.01511579193174839,
-0.008415590040385723,
0.019242912530899048,
0.02832937240600586,
-0.019463704898953438,
-0.0009898508433252573,
0.014054290018975735,
-0.01745958812534809,
-0.014139209873974323,
-0.03814614564180374,
-0.005575009621679783,
0.024304155260324478,
0.03233760595321655,
-0.01997322589159012,
0.020533699542284012,
-0.01586308889091015,
-0.007010160945355892,
0.08186305314302444,
0.01871640793979168,
0.03060523234307766,
0.046128641813993454,
-0.02282654494047165,
-0.03801027312874794,
-0.013400404714047909,
-0.0043245600536465645,
0.047079749405384064,
0.008823206648230553,
0.0242022518068552,
0.041950568556785583,
-0.017162367701530457,
0.005625961814075708,
0.017952125519514084,
0.046706099063158035,
-0.06019142270088196,
0.006093022879213095,
-0.020941317081451416,
-0.02868603728711605,
-0.01492896769195795,
-0.024524947628378868,
0.03794233500957489,
-0.03896137699484825,
0.02163766138255596,
-0.018071014434099197,
-0.04684197157621384,
-0.014665715396404266,
0.004666363820433617,
0.016763243824243546,
-0.015175236389040947,
0.024389075115323067,
0.0017812007572501898,
0.0261384304612875,
-0.009723360650241375,
-0.02457590028643608,
0.037161070853471756,
0.007553650066256523,
0.011540652252733707,
0.00268772360868752,
0.014376986771821976,
-0.0012748641893267632,
0.009400663897395134,
-0.010632006451487541,
0.006755400449037552,
-0.010954703204333782,
-0.02941635064780712,
0.009748836979269981,
0.028516195714473724,
0.010139469057321548,
-0.021467821672558784,
-0.0012589417165145278,
0.017510540783405304,
-0.0011358073679730296,
-0.041203271597623825,
0.00861939787864685,
0.01492896769195795,
-0.02201130986213684,
-0.05370352044701576,
0.006284093484282494,
-0.0779227539896965,
-0.024830659851431847,
-0.03773852810263634,
-0.04388674721121788,
-0.03400203958153725,
0.007562141865491867,
0.049865130335092545,
0.026597000658512115,
0.013561752624809742,
-0.027327314019203186,
0.05431494861841202,
-0.0571003295481205,
0.011574620380997658,
-0.010334786027669907,
0.02002417854964733,
0.036209963262081146,
0.013145644217729568,
0.04884608834981918,
-0.025425102561712265,
0.021399885416030884,
-0.01818990334868431,
0.006211911328136921,
0.006517624016851187,
-0.012593662366271019,
-0.011634064838290215,
-0.001712203142233193,
-0.0038086699787527323,
-0.000019073868315899745,
-0.005065488629043102,
0.03002777509391308,
-0.004175949841737747,
0.02700461633503437,
0.02883889339864254,
-0.0016145448898896575,
0.016092374920845032,
0.04144104942679405,
0.048540376126766205,
0.03634583577513695,
-0.02325114607810974,
-0.004628149792551994,
0.002144234487786889,
0.04364897310733795,
0.04218834638595581,
0.020160051062703133,
0.02875397354364395,
-0.006148220971226692,
-0.03896137699484825,
0.00455172173678875,
-0.028295403346419334,
0.019854338839650154,
0.010283833369612694,
-0.026240335777401924,
0.03138649836182594,
-0.000650700880214572,
0.005460367538034916,
0.0015667773550376296,
0.027989691123366356,
-0.03220173344016075,
0.0007297827978618443,
0.046264514327049255,
0.029297461733222008,
0.03367934376001358,
-0.023234160616993904,
0.018903231248259544,
-0.020058145746588707,
0.007252183277159929,
-0.04769117385149002,
0.012653106823563576,
-0.07044978439807892,
0.014368494041264057,
0.03851979225873947,
-0.058594923466444016,
-0.011430256068706512,
0.058594923466444016,
0.05672667920589447,
-0.02136591635644436,
0.015192219987511635,
-0.025951607152819633,
0.011124543845653534,
-0.0025200063828378916,
-0.05951206013560295,
-0.0005891337641514838,
-0.046060703694820404,
-0.006568575743585825,
-0.00477251410484314,
-0.029008733108639717,
-0.020312907174229622,
0.0047512841410934925,
0.019107040017843246,
-0.03001079149544239,
-0.00939217209815979,
-0.013808021321892738,
-0.03427378460764885,
0.01892021670937538,
0.0020062392577528954,
-0.02583271823823452,
-0.007443253882229328,
0.011922793462872505,
0.01745958812534809,
-0.003987002652138472,
-0.02554398961365223,
-0.05186924710869789,
0.02853318117558956,
-0.05907047539949417,
0.004572951700538397,
-0.02685176022350788,
-0.017510540783405304,
0.02063560299575329,
0.002749290782958269,
0.014810079708695412,
0.0015943764010444283,
0.005040012765675783,
0.008525986224412918,
0.006543099880218506,
0.017646413296461105,
0.017918158322572708,
-0.004517753608524799,
-0.01457230281084776,
-0.010852798819541931,
-0.04711371660232544,
0.004581443499773741,
0.007731982506811619,
0.021162109449505806,
-0.013179612345993519,
0.002795996842905879,
0.0183427594602108,
-0.024049395695328712,
-0.00856420025229454,
-0.017179353162646294,
-0.03705916553735733,
0.007039882708340883,
-0.006373259704560041,
-0.04313945025205612,
-0.03970867767930031,
0.013791036792099476,
-0.028635084629058838,
-0.008513247594237328,
-0.04065978154540062,
0.08390113711357117,
-0.0344775915145874,
0.025272244587540627,
-0.012398346327245235,
0.006649250164628029,
-0.02141686901450157,
0.04697784408926964,
-0.03454552963376045,
0.01126041542738676,
-0.037025198340415955,
0.007986743003129959,
-0.0455172173678875,
-0.013638180680572987,
0.010258357971906662,
-0.01423262245953083,
-0.02530621364712715,
0.024779709056019783,
-0.010445182211697102,
-0.04548324644565582,
-0.0016570050502195954,
-0.02554398961365223,
0.004564459435641766,
0.018886247649788857,
-0.014207146130502224,
-0.04375087842345238,
-0.022588767111301422,
-0.03376426175236702,
0.00680635217577219,
-0.029993807896971703,
-0.010980179533362389,
0.0077234902419149876,
0.008436819538474083,
0.020822428166866302,
0.007103573065251112,
0.008368883281946182,
-0.08125162869691849,
-0.01937878504395485,
0.009638440795242786,
0.001427720533683896,
0.004950846545398235,
-0.016873639076948166,
-0.0005689652170985937,
0.021535757929086685,
-0.0010694635566323996,
0.029161589220166206,
-0.013884449377655983,
-0.02912762202322483,
0.0013502308866009116,
0.025798751041293144,
0.001755724661052227,
-0.025883670896291733,
-0.005056996829807758,
-0.014869523234665394,
0.027276361361145973,
0.015328092500567436,
-0.021043220534920692,
0.0007403978379443288,
0.017153875902295113,
-0.01900513656437397,
0.004146227613091469,
-0.06253521889448166,
-0.008712810464203358,
0.011803904548287392,
0.0500689372420311,
0.014979919418692589
] |
Most machine learning and data analytics applications, including performance
engineering in software systems, require a large number of annotations and
labelled data, which might not be available in advance. Acquiring annotations
often requires significant time, effort, and computational resources, making it
challenging. We develop a unified active learning framework specializing in
software performance prediction to address this task. We begin by parsing the
source code to an Abstract Syntax Tree (AST) and augmenting it with data and
control flow edges. Then, we convert the tree representation of the source code
to a Flow Augmented-AST graph (FA-AST) representation. Based on the graph
representation, we construct various graph embeddings (unsupervised and
supervised) into a latent space. Given such an embedding, the framework becomes
task agnostic since active learning can be performed using any regression
method and query strategy suited for regression. Within this framework, we
investigate the impact of using different levels of information for active and
passive learning, e.g., partially available labels and unlabeled test data. Our
approach aims to improve the investment in AI models for different software
performance predictions (execution time) based on the structure of the source
code. Our real-world experiments reveal that respectable performance can be
achieved by querying labels for only a small subset of all the data. | [
-0.013544621877372265,
0.05749022215604782,
-0.026233403012156487,
-0.04208507761359215,
0.015033042058348656,
0.02973118983209133,
-0.021116958931088448,
0.03140566125512123,
-0.07166742533445358,
-0.03155450522899628,
0.03200102970004082,
-0.06575095653533936,
0.00713511323556304,
-0.0016628442099317908,
-0.0037443065084517,
0.028484638780355453,
0.029582347720861435,
0.0008779352647252381,
-0.006446719169616699,
-0.07542568445205688,
0.016019120812416077,
-0.025247324258089066,
-0.00535366078838706,
0.059648431837558746,
-0.007116508204489946,
-0.014726055786013603,
0.030587030574679375,
-0.001930294674821198,
-0.08662604540586472,
0.053211014717817307,
0.05053186044096947,
-0.00021192542044445872,
0.028447426855564117,
-0.03138705715537071,
-0.03605697304010391,
0.002047740388661623,
0.041005972772836685,
-0.01587027870118618,
0.007990955375134945,
0.024131009355187416,
0.009246809408068657,
0.021284407004714012,
-0.010530571453273296,
-0.004060595761984587,
0.010725926607847214,
-0.009684032760560513,
0.005139700137078762,
-0.013758582063019276,
-0.03214987367391586,
-0.05938795953989029,
0.013395779766142368,
0.03507089614868164,
0.005395522341132164,
0.0024954292457550764,
-0.025805482640862465,
0.02950792759656906,
0.07084879279136658,
0.026475271210074425,
-0.009042151272296906,
0.006167640443891287,
0.023907747119665146,
0.02210303768515587,
-0.016279593110084534,
0.02342401072382927,
0.03715468570590019,
-0.04993649199604988,
-0.020726248621940613,
-0.005223424173891544,
0.030903320759534836,
0.0546250157058239,
-0.03095913678407669,
-0.050457436591386795,
-0.002921024337410927,
0.048224806785583496,
0.028484638780355453,
0.05295054242014885,
0.02740553393959999,
-0.03531276434659958,
-0.04521075636148453,
-0.021265801042318344,
0.08379804342985153,
0.04308975860476494,
-0.0452851802110672,
0.03473600372672081,
0.05607622489333153,
-0.021712327376008034,
0.01426092442125082,
-0.08111888915300369,
0.020019249990582466,
-0.02333098277449608,
-0.04349907487630844,
0.020279722288250923,
-0.020930906757712364,
0.022270483896136284,
-0.012512031011283398,
0.061025220900774,
-0.013619042932987213,
-0.026828771457076073,
-0.05592738091945648,
0.029805609956383705,
0.0071583702228963375,
-0.013823701068758965,
-0.017247067764401436,
-0.02310772053897381,
0.054104067385196686,
-0.027349717915058136,
-0.07814204692840576,
0.006707192864269018,
-0.03129402920603752,
0.1123012900352478,
-0.03317316249012947,
-0.0344197116792202,
0.043238602578639984,
-0.008870053105056286,
0.014828383922576904,
-0.0034977870527654886,
-0.006781613454222679,
-0.08454225957393646,
-0.03261500224471092,
0.018019184470176697,
0.03194521367549896,
0.04841086268424988,
-0.03484763205051422,
-0.009335184469819069,
-0.0033326654229313135,
0.07058832049369812,
-0.014772568829357624,
-0.009349138475954533,
0.0022291415371000767,
0.01298646442592144,
-0.02318214252591133,
0.05153654143214226,
0.004981555510312319,
-0.017600566148757935,
0.040001288056373596,
0.0234054047614336,
0.03538718447089195,
0.025154298171401024,
0.017944764345884323,
0.0012058527208864689,
0.014000451192259789,
-0.03737794607877731,
-0.027814848348498344,
-0.040671076625585556,
0.03019632026553154,
0.014633029699325562,
-0.020930906757712364,
0.05116443708539009,
-0.04130365699529648,
0.016037724912166595,
-0.023014694452285767,
0.04197344556450844,
0.030252136290073395,
0.02143324725329876,
0.01314460951834917,
-0.03363829106092453,
0.007223488297313452,
0.01281901728361845,
0.0020151811186224222,
0.004746664315462112,
0.05551806464791298,
-0.021358827129006386,
-0.013367872685194016,
0.030475400388240814,
-0.020335538312792778,
-0.006288574542850256,
-0.037694238126277924,
-0.03786168247461319,
-0.1103663444519043,
0.05529480427503586,
0.024000773206353188,
-0.0011500370455905795,
-0.0052559832111001015,
0.03925707936286926,
-0.02586129680275917,
0.020670432597398758,
0.03899660333991051,
-0.002979165641590953,
-0.0375639982521534,
-0.01774940825998783,
-0.020447170361876488,
0.044689811766147614,
0.008004908449947834,
0.004344325978308916,
0.033024318516254425,
-0.005414127837866545,
0.0677231103181839,
0.029135821387171745,
0.0284288227558136,
0.0419362336397171,
0.031573109328746796,
0.00016090634744614363,
0.06400205940008163,
0.009777058847248554,
-0.0010523594683036208,
-0.02976839989423752,
-0.04759223014116287,
0.004044316243380308,
-0.0381779745221138,
-0.007656060624867678,
-0.036689553409814835,
-0.07672805339097977,
-0.03075447864830494,
-0.014912107959389687,
-0.023219352588057518,
0.027572980150580406,
0.03008469007909298,
0.005614134017378092,
0.0190889872610569,
-0.03419645130634308,
0.03840123489499092,
0.004402467515319586,
-0.08424457162618637,
-0.031461477279663086,
0.008837494067847729,
-0.025340350344777107,
0.03430807963013649,
0.011116636916995049,
-0.04052223637700081,
-0.055666908621788025,
0.002709389664232731,
0.02673574537038803,
0.023796115070581436,
-0.005474594887346029,
-0.047108493745326996,
-0.033787135034799576,
0.02342401072382927,
-0.038587287068367004,
0.03996407613158226,
-0.013228332623839378,
0.029712583869695663,
0.009409605525434017,
0.017591264098882675,
-0.004316417966037989,
-0.00727465283125639,
-0.011311992071568966,
0.03229871392250061,
-0.012688780203461647,
0.005860653705894947,
0.013693463988602161,
-0.0027582282200455666,
-0.003972220700234175,
-0.05071791261434555,
-0.03587092086672783,
0.08357478678226471,
-0.013665555976331234,
0.018130816519260406,
0.04048502445220947,
0.023275168612599373,
0.05849490687251091,
-0.0005857746582478285,
-0.04033618047833443,
-0.014540002681314945,
-0.005246680695563555,
-0.058011170476675034,
0.047108493745326996,
0.07360237091779709,
0.00039187309448607266,
0.03840123489499092,
-0.03832681477069855,
0.07717457413673401,
0.013916727155447006,
-0.010056138038635254,
0.0666067972779274,
-0.03406621143221855,
-0.0269590076059103,
0.08990056812763214,
-0.01819593459367752,
0.016037724912166595,
0.0002721017808653414,
0.04197344556450844,
-0.008242125622928143,
-0.014540002681314945,
-0.02020530216395855,
-0.001875641755759716,
-0.07430937141180038,
-0.03611278906464577,
0.0005787977133877575,
0.003372201696038246,
0.02485661394894123,
-0.020893696695566177,
0.017154039815068245,
0.07029063254594803,
0.029991663992404938,
0.024279851466417313,
-0.07311863452196121,
-0.021154168993234634,
-0.042903706431388855,
-0.02120998501777649,
-0.04439212754368782,
-0.03962918370962143,
-0.038587287068367004,
-0.0037605862598866224,
0.054438963532447815,
0.027107849717140198,
0.04033618047833443,
-0.022568168118596077,
-0.02398216724395752,
0.010316611267626286,
-0.026010138913989067,
-0.012856228277087212,
-0.02096811681985855,
0.04669917747378349,
0.03363829106092453,
0.013665555976331234,
-0.008381664752960205,
-0.02597292885184288,
0.06976968795061111,
0.006911850534379482,
-0.014912107959389687,
-0.028112532570958138,
-0.009358440525829792,
-0.0039908261969685555,
-0.03294989839196205,
-0.023219352588057518,
0.06411369144916534,
-0.0033442936837673187,
0.017284277826547623,
-0.060653116554021835,
-0.07021621614694595,
-0.0014872571919113398,
-0.007623501121997833,
-0.1067197173833847,
0.054215699434280396,
0.046327073127031326,
0.03373131901025772,
-0.03360108286142349,
0.03166613727807999,
0.00810258649289608,
-0.054662223905324936,
-0.05417848750948906,
-0.00696301506832242,
-0.07378841936588287,
-0.0003183241933584213,
-0.014298134483397007,
-0.042680442333221436,
-0.04331302270293236,
0.025507798418402672,
-0.00013808584481012076,
-0.010884071700274944,
-0.0639648512005806,
-0.013665555976331234,
-0.023777509108185768,
-0.02963816374540329,
0.0319824256002903,
-0.044913072139024734,
-0.025451982393860817,
-0.020596012473106384,
0.003841984085738659,
0.02120998501777649,
0.0009750314056873322,
0.0020930906757712364,
0.06162058934569359,
-0.01609354093670845,
0.05979727581143379,
-0.04007570818066597,
-0.015944698825478554,
0.012335280887782574,
-0.008758421055972576,
0.03914544731378555,
0.01414929237216711,
-0.06612306088209152,
0.003239639103412628,
0.019126197323203087,
-0.04115481302142143,
0.023386798799037933,
0.022679800167679787,
-0.007683968171477318,
0.02507987804710865,
0.026047350838780403,
-0.01232597790658474,
0.04026176035404205,
0.0408199205994606,
-0.013898122124373913,
-0.010270098224282265,
0.030587030574679375,
-0.02617758698761463,
0.013591134920716286,
-0.02031693235039711,
0.06195548176765442,
-0.023014694452285767,
0.010298006236553192,
-0.0019942503422498703,
0.011218965984880924,
-0.005702509079128504,
0.03910823538899422,
-0.021172774955630302,
-0.038810551166534424,
-0.025396166369318962,
0.04409444332122803,
0.055778540670871735,
-0.019005263224244118,
-0.0052559832111001015,
-0.06779753416776657,
-0.0009535190765745938,
-0.0038908228743821383,
0.04785270243883133,
-0.026326429098844528,
0.05131328105926514,
-0.016279593110084534,
-0.034363895654678345,
0.017963368445634842,
0.009572401642799377,
0.05581574887037277,
-0.058420486748218536,
0.007758389227092266,
-0.0026605508755892515,
-0.0059676337987184525,
-0.008739816024899483,
-0.017395908012986183,
-0.011860846541821957,
-0.03321037068963051,
-0.01598191075026989,
-0.012307372875511646,
0.024726377800107002,
0.026400849223136902,
-0.01698659360408783,
-0.0113212950527668,
-0.007581639569252729,
0.04342465475201607,
-0.01832617074251175,
0.04230833798646927,
0.02141464315354824,
-0.020000644028186798,
0.026047350838780403,
0.04320139065384865,
-0.022698404267430305,
0.008795632049441338,
-0.006572304759174585,
-0.052876122295856476,
0.01508885808289051,
-0.005116443615406752,
0.032801054418087006,
-0.03981523588299751,
-0.020242512226104736,
0.022698404267430305,
0.0357406847178936,
-0.0017116829985752702,
-0.06757427006959915,
-0.07211394608020782,
-0.060653116554021835,
-0.04033618047833443,
0.024037983268499374,
0.026382245123386383,
-0.019665749743580818,
-0.014437674544751644,
-0.012865530326962471,
-0.04495028406381607,
-0.015470265410840511,
-0.014744660817086697,
-0.07538847625255585,
0.04175018146634102,
-0.05819722265005112,
-0.016344713047146797,
0.06909989565610886,
-0.039889656007289886,
-0.03241034597158432,
-0.0015558640006929636,
0.020596012473106384,
-0.021693721413612366,
-0.023033300414681435,
0.06962084770202637,
0.03959197178483009,
-0.033042922616004944,
-0.01877269707620144,
0.023554246872663498,
-0.017116829752922058,
-0.05916469544172287,
0.024335667490959167,
0.020000644028186798,
-0.021675117313861847,
-0.038773342967033386,
0.006274620536714792,
0.005097838584333658,
0.008949125185608864,
0.016558673232793808,
0.011814333498477936,
-0.062327589839696884,
0.009107270278036594,
0.009084013290703297,
0.0007209534524008632,
-0.0025279882829636335,
0.0033791784662753344,
-0.028689295053482056,
0.02775903232395649,
0.006869988515973091,
0.025172904133796692,
0.01120966300368309,
0.0629601702094078,
0.012623662129044533,
-0.03616860508918762,
-0.011414321139454842,
0.0037675632629543543,
-0.014502792619168758,
0.01674472540616989,
0.018335474655032158,
-0.011525952257215977,
-0.04085712879896164,
0.07323026657104492,
0.012130622752010822,
-0.029377689585089684,
-0.017823830246925354,
-0.02932187356054783,
0.02986142598092556,
-0.019795985892415047,
0.0317777656018734,
-0.0198518019169569,
-0.004167575854808092,
-0.007972349412739277,
-0.010809650644659996,
0.01797267235815525,
-0.019070381298661232,
0.004011757206171751,
-0.02885674312710762,
-0.04331302270293236,
0.054438963532447815,
0.02707063965499401,
0.008646789938211441,
-0.013014372438192368,
0.04636428505182266,
0.027498560026288033,
0.021898379549384117,
0.020893696695566177,
-0.002277980325743556,
-0.014121385291218758,
0.03561044856905937,
0.05481106787919998,
-0.00859562586992979,
0.052094701677560806,
-0.03784307837486267,
-0.022512352094054222,
0.0033140601590275764,
-0.024931035935878754,
-0.03337781876325607,
-0.026047350838780403,
-0.008232823573052883,
0.01899596117436886,
0.03761981427669525,
-0.0035070895683020353,
-0.02154487930238247,
-0.03270803019404411,
0.030438188463449478,
0.024391483515501022,
0.025172904133796692,
-0.0617322213947773,
-0.015563291497528553,
0.020707642659544945,
-0.003221033839508891,
-0.02463335171341896,
0.03454994782805443,
-0.015823764726519585,
0.007432797458022833,
0.0519830696284771,
0.0051676081493496895,
-0.014242319390177727,
-0.033117346465587616,
-0.00788862630724907,
-0.059127483516931534,
-0.04841086268424988,
-0.009177039377391338,
0.020354144275188446,
0.00762815261259675,
-0.0038698920980095863,
0.0005683322669938207,
-0.010484058409929276,
-0.01885642111301422,
0.019833195954561234,
0.041005972772836685,
-0.028354400768876076,
0.020819274708628654,
0.0184285007417202,
-0.019237829372286797,
-0.005758325103670359,
0.011916662566363811,
0.020800668746232986,
0.0008360734209418297,
0.07256047427654266,
-0.04826201871037483,
0.002143092220649123,
-0.021489063277840614,
-0.018372684717178345,
0.008572368882596493,
0.04963880777359009,
0.03129402920603752,
0.04048502445220947,
0.002244258299469948,
-0.02617758698761463,
-0.031349845230579376,
-0.0030768432188779116,
-0.017172645777463913,
-0.00777234323322773,
0.0158888828009367,
-0.03272663429379463,
0.005130397621542215,
-0.01676332950592041,
-0.009163085371255875,
0.01811221055686474,
-0.0361500009894371,
0.05042022839188576,
-0.03607558086514473,
0.012856228277087212,
-0.01309809647500515,
0.031238215044140816,
0.05153654143214226,
-0.006581607274711132,
0.01392603013664484,
0.02973118983209133,
-0.02532174624502659,
-0.021600695326924324,
-0.0028466032817959785,
0.01787964627146721,
0.01744242198765278,
0.03851286694407463,
-0.0229960884898901,
-0.01832617074251175,
-0.007879323326051235,
0.04495028406381607,
0.02617758698761463,
-0.018791303038597107,
-0.008697954006493092,
0.03538718447089195,
-0.027889270335435867,
0.02841021679341793,
0.006395554635673761,
-0.02165651135146618,
0.0359453447163105,
-0.00582809466868639,
-0.0448758639395237,
-0.015014437027275562,
-0.00905610527843237,
-0.0317777656018734,
-0.009991019032895565,
-0.014558608643710613,
0.01674472540616989,
-0.0229960884898901,
-0.018558736890554428,
-0.007967698387801647,
0.08811446279287338,
0.02087509073317051,
-0.03918265551328659,
-0.053211014717817307,
0.009628216736018658,
-0.007735132705420256,
0.09786361455917358,
0.005897864233702421,
-0.00004858441388932988,
-0.022810036316514015,
-0.02673574537038803,
0.025935718789696693,
0.012753899209201336,
0.007911882363259792,
0.03549881651997566,
-0.00502341752871871,
0.033135950565338135,
-0.024726377800107002,
-0.010744531638920307,
0.04271765425801277,
0.012419004924595356,
-0.000044696207623928785,
0.05484827607870102,
0.026400849223136902,
0.020577406510710716,
0.0076141986064612865,
0.01381439808756113,
0.05592738091945648,
0.015488870441913605,
-0.0015512127429246902,
0.04948996379971504,
-0.0051908646710217,
0.08774235844612122,
0.01231667585670948,
-0.03670815750956535,
-0.01492141094058752,
0.04562007263302803,
0.021061142906546593,
-0.008781678043305874,
0.0014977225800976157,
0.048001546412706375,
-0.0234054047614336,
-0.0012756225187331438,
-0.006576955784112215,
-0.016242383047938347,
0.032484766095876694,
-0.016474949195981026,
-0.03486623987555504,
-0.01343299075961113,
-0.04372233897447586,
0.008860750123858452,
-0.017963368445634842,
0.0011762006906792521,
-0.04803875461220741,
-0.010949189774692059,
0.03440110757946968,
-0.008679348975419998,
0.03440110757946968,
0.0021326267160475254,
-0.022158853709697723,
-0.004246648401021957,
-0.005107141099870205,
-0.01663309335708618,
-0.0072374423034489155,
0.005316450260579586,
-0.031275425106287,
0.01819593459367752,
0.03925707936286926,
0.010670110583305359,
-0.0015512127429246902,
0.006339739076793194,
-0.04029897227883339,
0.016028422862291336,
0.014326042495667934,
-0.00030117249116301537,
-0.007256047334522009,
0.0379733145236969,
0.03715468570590019,
0.010949189774692059,
0.043126970529556274,
0.002869859803467989,
-0.02273561619222164,
0.05961121991276741,
0.0027838104870170355,
-0.03641047328710556,
-0.026010138913989067,
-0.03410342335700989,
-0.06697890162467957,
-0.018902935087680817,
0.03194521367549896,
0.01733078993856907,
-0.003923382144421339,
-0.018047092482447624,
0.02152627520263195,
-0.027610192075371742,
-0.008525855839252472,
0.007902580313384533,
0.0007087437552399933,
0.0001582899858476594,
0.03652210533618927,
0.03187079355120659,
-0.01998203806579113,
-0.020465774461627007,
0.027126453816890717,
-0.007339771371334791,
0.005018766038119793,
-0.015200489200651646,
0.01215853076428175,
0.03166613727807999,
0.020670432597398758,
-0.01852152682840824,
-0.023777509108185768,
0.037694238126277924,
0.01777731627225876,
-0.025600824505090714,
0.054997120052576065,
-0.05027138441801071,
-0.04439212754368782,
0.01332135871052742,
-0.00987938791513443,
-0.014586515724658966,
0.014558608643710613,
0.010670110583305359,
-0.016493555158376694,
0.04342465475201607,
-0.006042054854333401,
0.005781581625342369,
0.05562969669699669,
-0.004488516598939896,
-0.031014952808618546,
-0.02074485458433628,
0.016828449442982674,
-0.016465647146105766,
0.045917756855487823,
0.005939726252108812,
0.041675761342048645,
-0.02521011419594288,
0.017256369814276695,
0.016893567517399788,
-0.004211763385683298,
-0.00391175365075469,
0.0031745207961648703,
0.0016081912908703089,
-0.035889528691768646,
0.025786876678466797,
-0.05172259360551834,
0.011674794368445873,
0.005655996035784483,
0.011507347226142883,
0.03516392409801483,
-0.04361070692539215,
-0.015312121249735355,
0.045917756855487823,
-0.01697729155421257,
0.014540002681314945,
0.03417784348130226,
0.010586387477815151,
0.016177264973521233,
-0.03453134372830391,
0.010642203502357006,
-0.008702605962753296,
-0.025228718295693398,
-0.019405275583267212,
0.06623469293117523,
0.006851383484899998,
0.001224457984790206,
0.03488484397530556,
0.006242061499506235,
-0.043350234627723694,
0.009153783321380615,
-0.027275295928120613,
0.006311831064522266,
0.04063386470079422,
0.03754539415240288,
0.00615833792835474,
-0.0024814752396196127,
-0.015060950070619583,
0.055890172719955444,
-0.03183358162641525,
-0.011423623189330101,
0.02465195581316948,
-0.03187079355120659,
-0.01182363647967577,
-0.00017413351451978087,
0.004609450697898865,
0.0004511773295234889,
-0.04442933574318886,
0.012474820017814636,
0.015795856714248657,
0.007283955346792936,
0.02297748439013958,
0.01608423888683319,
0.014623726718127728,
0.03907102346420288,
0.02521011419594288,
0.0031675437930971384,
0.01542375236749649,
-0.051238857209682465,
0.04669917747378349,
-0.019275039434432983,
0.01427022647112608,
-0.04859691485762596,
0.05548085644841194,
-0.04859691485762596,
-0.0028791625518351793,
-0.005097838584333658,
-0.006390903610736132,
0.007860718294978142,
0.023033300414681435,
-0.00009033721289597452,
0.026456665247678757,
-0.01009334810078144,
0.002907070331275463,
0.007423494942486286,
-0.023461220785975456,
0.03977802395820618,
0.0025349652860313654,
-0.004602473694831133,
0.018158724531531334,
-0.0018802931299433112,
-0.000480829447042197,
0.0013953937450423837,
-0.028503242880105972,
0.002134952461346984,
-0.002271003322675824,
0.034791816025972366,
-0.021247195079922676,
0.028261374682188034,
0.004683871753513813,
-0.019684353843331337,
-0.0194424856454134,
-0.024168219417333603,
-0.03562905266880989,
-0.012056201696395874,
0.024819403886795044,
0.002753576962277293,
0.012344583868980408,
0.019479697570204735,
0.037359341979026794,
-0.036596525460481644,
-0.00905145425349474,
-0.008288638666272163,
-0.06002053618431091,
0.004786200821399689,
-0.0023558898828923702,
0.058978643268346786,
-0.012456214986741543,
0.049452755600214005,
0.022158853709697723,
-0.033787135034799576,
0.000652928021736443,
-0.01133059710264206,
-0.024112403392791748,
0.0011430600425228477,
0.027107849717140198,
-0.008577019907534122,
-0.0069025480188429356,
0.034252267330884933,
0.017507540062069893,
-0.0106608085334301,
-0.014158595353364944,
-0.01675402745604515,
0.026047350838780403,
-0.012930648401379585,
-0.03921986743807793,
-0.004123388789594173,
-0.029005585238337517,
0.008465388789772987,
-0.01120036095380783,
0.0325963981449604,
0.0003194870369043201,
0.003469879040494561,
0.015033042058348656,
0.034252267330884933,
0.007000225596129894,
0.023349588736891747,
-0.0535086989402771,
0.016047028824687004,
-0.021619301289319992,
-0.006674633361399174,
-0.033228978514671326,
0.010772439651191235,
-0.011311992071568966,
0.033805739134550095,
0.055666908621788025,
0.04558286443352699,
0.02098672278225422,
-0.009656124748289585,
0.062327589839696884,
0.02474498189985752,
-0.00992590095847845,
0.02120998501777649,
0.0013570204610005021,
-0.002848929027095437,
0.034345291554927826,
0.04141528531908989,
0.0005404243711382151,
0.01633540913462639,
-0.018158724531531334,
-0.014251621440052986,
0.012763201259076595,
-0.024279851466417313,
-0.009511934593319893,
-0.0337127149105072,
0.01476326584815979,
-0.021470459178090096,
0.024614745751023293,
0.03721050173044205,
-0.024391483515501022,
0.01910759136080742,
0.02565664052963257,
-0.04320139065384865,
0.021507669240236282,
-0.002068671165034175,
0.002702412661164999,
0.01653076522052288,
-0.016781935468316078,
-0.013888819143176079,
0.002084950916469097,
-0.029898637905716896,
-0.007228139787912369,
0.006502534728497267,
0.013777188025414944,
-0.01082825567573309,
-0.0034861587919294834,
-0.015600502490997314,
-0.014233016408979893,
0.037024449557065964,
0.022140247747302055,
-0.05771348625421524,
-0.04059665650129318,
-0.01953551173210144,
-0.018363382667303085,
0.012363188900053501,
-0.018130816519260406,
0.048001546412706375,
0.029935847967863083,
0.01664239540696144,
-0.010614295490086079,
0.0034675535280257463,
-0.03408481925725937,
0.028949769213795662,
0.03616860508918762,
0.036447685211896896,
-0.019330855458974838,
0.017702896147966385,
0.021582089364528656,
-0.01964714378118515,
-0.07099763303995132,
0.006423462647944689,
-0.01709822565317154,
-0.03804773837327957,
0.02275422029197216,
-0.01910759136080742,
-0.0006418811390176415,
0.024503113701939583,
-0.03471739590167999,
-0.07494194805622101,
-0.010939886793494225,
-0.003769888775423169,
-0.013051583431661129,
-0.023926351219415665,
0.02009367011487484,
-0.02876371704041958,
-0.006209502462297678,
-0.00821886956691742,
0.06322064250707626,
-0.007507218513637781,
0.059760063886642456,
0.039889656007289886,
-0.00992590095847845,
-0.022065825760364532,
0.02364727295935154,
-0.02020530216395855,
-0.043126970529556274,
0.035536028444767,
0.015619107522070408,
0.0014349299017339945,
0.009832874871790409,
-0.006972317583858967,
-0.02187977358698845,
0.014558608643710613,
-0.0328940823674202,
-0.0009506120113655925,
-0.04428049549460411,
0.03836402669548988,
0.00035204621963202953
] |
Surface roughness is a crucial factor influencing the performance and
functionality of additive manufactured components. Accurate prediction of
surface roughness is vital for optimizing manufacturing processes and ensuring
the quality of the final product. Quantum computing has recently gained
attention as a potential solution for tackling complex problems and creating
precise predictive models. In this research paper, we conduct an in-depth
comparison of three quantum algorithms i.e. the Quantum Neural Network (QNN),
Quantum Forest (Q-Forest), and Variational Quantum Classifier (VQC) adapted for
regression for predicting surface roughness in additive manufactured specimens
for the first time. We assess the algorithms performance using Mean Squared
Error (MSE), Mean Absolute Error (MAE), and Explained Variance Score (EVS) as
evaluation metrics. Our findings show that the Q-Forest algorithm surpasses the
other algorithms, achieving an MSE of 56.905, MAE of 7.479, and an EVS of
0.2957. In contrast, the QNN algorithm displays a higher MSE of 60.840 and MAE
of 7.671, coupled with a negative EVS of -0.444, indicating that it may not be
appropriate for predicting surface roughness in this application. The VQC
adapted for regression exhibits an MSE of 59.121, MAE of 7.597, and an EVS of
-0.0106, suggesting its performance is also inferior to the Q-Forest algorithm. | [
-0.007888664491474628,
0.023138804361224174,
-0.02691539376974106,
-0.01862414926290512,
0.008051613345742226,
0.002607189118862152,
0.0019494011066854,
0.03103705309331417,
-0.023138804361224174,
0.04861640930175781,
0.0011047006119042635,
-0.0154035035520792,
0.03224479407072067,
0.010850507766008377,
-0.01978396438062191,
0.1382577121257782,
0.017713550478219986,
-0.021087558940052986,
0.005324608646333218,
-0.040794841945171356,
-0.039127007126808167,
-0.008152258582413197,
-0.06640664488077164,
-0.01303594559431076,
-0.02580350451171398,
0.018758343532681465,
0.023963136598467827,
0.010016590356826782,
-0.05870009586215019,
0.050648484379053116,
0.0038844242226332426,
0.017349310219287872,
-0.008588387630879879,
-0.018183227628469467,
0.021164242178201675,
0.03211060166358948,
-0.0017145624151453376,
-0.03400848060846329,
-0.03464110940694809,
0.02816147729754448,
0.030672812834382057,
0.0210683885961771,
0.008209770545363426,
0.0212600938975811,
0.010409586131572723,
-0.036519818007946014,
-0.048041295260190964,
-0.012595023959875107,
0.030461937189102173,
0.02250617742538452,
-0.012317052111029625,
0.008157051168382168,
0.04543410614132881,
-0.012767558917403221,
-0.014167006127536297,
-0.006570691708475351,
0.05620793253183365,
0.08243318647146225,
0.048079635947942734,
0.02114507183432579,
0.07108424603939056,
0.014071153476834297,
-0.060770511627197266,
-0.03400848060846329,
-0.0052527193911373615,
-0.017080923542380333,
-0.00482138292863965,
-0.03581051155924797,
0.02440405823290348,
-0.020359080284833908,
-0.0790591761469841,
-0.02471078559756279,
0.010208295658230782,
0.027567191049456596,
-0.009201844222843647,
0.02944590151309967,
0.02331133931875229,
0.03362507373094559,
-0.019544333219528198,
0.044782306998968124,
0.014301199465990067,
0.0635310634970665,
-0.06847705692052841,
-0.04662267863750458,
0.11233918368816376,
-0.03657732903957367,
0.005894931498914957,
-0.0710459053516388,
0.012412904761731625,
0.026934564113616943,
-0.0556328147649765,
0.06774857640266418,
0.04347871243953705,
-0.011952811852097511,
0.004107281565666199,
0.04324866831302643,
-0.00567447068169713,
-0.005861382931470871,
-0.01460792776197195,
0.025669310241937637,
0.022122766822576523,
0.009666728787124157,
0.031861383467912674,
0.014569586142897606,
0.07959595322608948,
-0.07254120707511902,
-0.05156866833567619,
0.006038710009306669,
0.018125716596841812,
0.10091355443000793,
-0.009034101851284504,
-0.013563134707510471,
-0.004658433608710766,
-0.018988389521837234,
-0.014521660283207893,
-0.0010304148308932781,
-0.027337145060300827,
0.006216037552803755,
-0.006839078851044178,
-0.023924794048070908,
-0.019688112661242485,
0.04589419811964035,
0.04577917605638504,
-0.016304517164826393,
0.004687189124524593,
0.05962027981877327,
0.007299171295017004,
-0.007711336947977543,
0.028928296640515327,
-0.006335853133350611,
-0.03759336844086647,
-0.027068758383393288,
-0.002832442754879594,
-0.034813642501831055,
0.008181014098227024,
-0.017195945605635643,
0.032532352954149246,
0.00232801865786314,
0.04968995973467827,
-0.05590120330452919,
-0.004095300100743771,
-0.06602323055267334,
0.010706729255616665,
0.025535117834806442,
0.01148313470184803,
-0.004766267724335194,
-0.047351155430078506,
0.07645198702812195,
-0.015307650901377201,
-0.018327007070183754,
-0.060808852314949036,
0.05015005171298981,
0.015969034284353256,
0.008851982653141022,
0.06464295834302902,
0.007534009870141745,
0.0071745626628398895,
0.02917751483619213,
0.03581051155924797,
-0.051108576357364655,
0.028928296640515327,
-0.028794104233384132,
-0.04945991188287735,
0.029465071856975555,
0.023368850350379944,
0.041024889796972275,
0.05528774857521057,
0.034775301814079285,
-0.07050912827253342,
0.047351155430078506,
0.02603355050086975,
0.020416591316461563,
-0.033145807683467865,
-0.0023100462276488543,
-0.0024849772453308105,
0.030634472146630287,
0.020646637305617332,
0.037804242223501205,
-0.031784702092409134,
-0.007677788846194744,
-0.05275724083185196,
0.010208295658230782,
0.0563996359705925,
0.060617148876190186,
0.050725165754556656,
-0.017703965306282043,
0.08028609305620193,
0.027049588039517403,
0.03492866829037666,
0.05298728495836258,
-0.0021470969077199697,
-0.02338802069425583,
0.014579171314835548,
0.009336037561297417,
0.030366085469722748,
-0.022487007081508636,
0.010946360416710377,
0.00822414830327034,
-0.01555686816573143,
0.011904885992407799,
-0.025592628866434097,
-0.03853272274136543,
0.02614857442677021,
0.009901567362248898,
0.05662968382239342,
-0.014857144095003605,
0.02584184519946575,
-0.05620793253183365,
0.01247041579335928,
0.04313364252448082,
-0.04267355054616928,
-0.0045817517675459385,
-0.04620092734694481,
-0.023905623704195023,
-0.006326267961412668,
-0.0044882954098284245,
-0.00467281136661768,
-0.017128849402070045,
-0.06452792882919312,
-0.02641696110367775,
-0.057549867779016495,
-0.002080000238493085,
0.03372092545032501,
0.0028300462290644646,
-0.041600003838539124,
0.01290175225585699,
-0.0002558064879849553,
-0.0075819361954927444,
-0.03657732903957367,
0.0038245164323598146,
0.012058249674737453,
0.025515947490930557,
0.018489954993128777,
0.035944703966379166,
-0.029062490910291672,
0.01313179824501276,
-0.04225179925560951,
0.019994840025901794,
-0.041561663150787354,
0.02846820466220379,
0.029043320566415787,
0.002216590102761984,
-0.03713327646255493,
-0.029580093920230865,
0.037804242223501205,
0.0014294009888544679,
-0.0071362219750881195,
0.026934564113616943,
0.08028609305620193,
0.03673069551587105,
-0.057473186403512955,
-0.05386912822723389,
-0.014051983132958412,
0.038858622312545776,
-0.029350047931075096,
-0.03690322861075401,
0.0393378846347332,
0.0295992661267519,
-0.009949494153261185,
-0.032954104244709015,
0.022640369832515717,
0.026666177436709404,
0.015796499326825142,
0.04880811646580696,
-0.044168852269649506,
0.005487557966262102,
0.02758636139333248,
-0.012067834846675396,
-0.027126269415020943,
0.007203318644315004,
0.005755945108830929,
-0.034238528460264206,
-0.04052645340561867,
-0.024384886026382446,
-0.020876683294773102,
-0.025554288178682327,
-0.0003681336820591241,
-0.03364424407482147,
0.02009069360792637,
-0.05264221504330635,
-0.013524794019758701,
0.019879817962646484,
0.041293274611234665,
0.04006636142730713,
-0.0036352076567709446,
-0.010831337422132492,
-0.05275724083185196,
-0.023867283016443253,
-0.07257954776287079,
-0.02292792871594429,
0.0034219357185065746,
0.0007416590233333409,
-0.04240516573190689,
0.0033644242212176323,
-0.007342304568737745,
-0.010342488996684551,
-0.04378544166684151,
-0.04190673306584358,
0.01294009294360876,
0.00818580761551857,
-0.002992995548993349,
-0.02599520981311798,
0.018480369821190834,
0.027183780446648598,
-0.07560848444700241,
0.028334012255072594,
0.03425769880414009,
0.0333566851913929,
0.015230968594551086,
-0.033414196223020554,
0.05981198698282242,
0.02103004790842533,
0.003798156976699829,
-0.06165235489606857,
-0.011924056336283684,
-0.015374748036265373,
0.051261939108371735,
-0.0014761291677132249,
-0.016553733497858047,
-0.051223598420619965,
0.01286341156810522,
-0.03368258476257324,
-0.06897549331188202,
0.041523322463035583,
0.04857806861400604,
-0.013179725036025047,
-0.026857882738113403,
0.04581751674413681,
-0.007620277348905802,
0.006767189595848322,
0.04589419811964035,
-0.02944590151309967,
-0.02095336653292179,
-0.0011214747792109847,
0.0436704196035862,
0.014425807632505894,
-0.029733458533883095,
0.028659909963607788,
0.017387650907039642,
-0.02350304275751114,
-0.05985032767057419,
-0.026244426146149635,
0.009729033336043358,
0.02425069361925125,
-0.0035705072805285454,
-0.07165936380624771,
0.02898580953478813,
0.0014365899842232466,
-0.01068755891174078,
0.007054747082293034,
0.001149032381363213,
-0.0017624886240810156,
0.005866175517439842,
-0.014387466944754124,
0.02118341252207756,
-0.04202175512909889,
0.03767004981637001,
-0.00737106055021286,
0.04386212304234505,
0.000782396353315562,
0.017435576766729355,
-0.05248885229229927,
-0.04700608551502228,
0.08933456987142563,
-0.054444245994091034,
-0.006009954493492842,
-0.02451908029615879,
-0.02975262887775898,
-0.007984517142176628,
-0.03402765095233917,
-0.009724240750074387,
0.07997936010360718,
0.006685714703053236,
-0.01063004694879055,
-0.0580483004450798,
-0.0333566851913929,
-0.01989898830652237,
-0.015508941374719143,
-0.06345438212156296,
0.05164534971117973,
-0.014128664508461952,
0.061192262917757034,
0.01788608357310295,
0.02676202915608883,
-0.022180277854204178,
0.0005152074154466391,
-0.036443136632442474,
0.010457511991262436,
-0.034660279750823975,
0.07292461395263672,
-0.024346545338630676,
0.005535484291613102,
-0.025075025856494904,
0.0010190323228016496,
-0.04949825257062912,
-0.018604978919029236,
0.03184221312403679,
0.040679819881916046,
0.012355392798781395,
-0.017943596467375755,
-0.01082175225019455,
0.057664889842271805,
-0.057051435112953186,
0.01648663729429245,
0.03370175510644913,
-0.006340645719319582,
-0.04880811646580696,
-0.026819542050361633,
-0.014761291444301605,
0.011090138927102089,
-0.02444239892065525,
-0.0005188019131310284,
0.017818987369537354,
-0.020320739597082138,
0.025228388607501984,
-0.0003780184779316187,
0.002371152164414525,
0.0563996359705925,
-0.01834617741405964,
-0.08250986784696579,
-0.03964461013674736,
-0.006824701093137264,
0.027720555663108826,
0.021777696907520294,
0.012930507771670818,
0.05908350646495819,
0.03711410611867905,
-0.02695373445749283,
0.005439631640911102,
-0.057473186403512955,
0.033567558974027634,
-0.016151152551174164,
0.018279079347848892,
-0.020819172263145447,
0.01375484000891447,
0.057626549154520035,
0.03184221312403679,
0.010447926819324493,
0.03667318448424339,
0.019611429423093796,
0.02099170722067356,
0.020531615242362022,
-0.0012700462248176336,
-0.006839078851044178,
-0.060578808188438416,
-0.006580276880413294,
-0.06180572137236595,
-0.025976039469242096,
-0.04623926803469658,
-0.02141345851123333,
-0.035868022590875626,
-0.008612350560724735,
-0.07112258672714233,
0.02641696110367775,
0.05501936003565788,
-0.03168885037302971,
0.03153548762202263,
-0.012757973745465279,
0.0782923549413681,
-0.011195576749742031,
0.00009712558676255867,
0.04861640930175781,
0.004344516433775425,
-0.06644498556852341,
0.007845530286431313,
0.03483281284570694,
-0.007831152528524399,
-0.014061568304896355,
-0.006949309259653091,
0.012872996740043163,
-0.02444239892065525,
0.0015372351044788957,
-0.0369223989546299,
0.04620092734694481,
0.023713918402791023,
-0.006719263270497322,
0.0024166821967810392,
-0.03320332244038582,
0.004854931496083736,
0.031439635902643204,
0.02599520981311798,
0.05532608926296234,
-0.027030417695641518,
0.023292167112231255,
-0.008540461771190166,
0.03558046370744705,
0.07629862427711487,
-0.03005935810506344,
-0.011559817008674145,
0.04355539381504059,
-0.0468527227640152,
-0.018029863014817238,
-0.007452534977346659,
-0.047696225345134735,
0.036213092505931854,
0.00987281184643507,
0.027202950790524483,
-0.011770692653954029,
0.03952958807349205,
0.0309987124055624,
0.022429494187235832,
-0.0644129067659378,
-0.07403650134801865,
0.02929253689944744,
-0.024729955941438675,
0.02773972600698471,
0.04209843650460243,
0.012039079330861568,
-0.015345992520451546,
-0.021854380145668983,
0.0536007434129715,
0.003985069692134857,
-0.01923760585486889,
0.007112258579581976,
0.009024516679346561,
-0.009460645727813244,
-0.004021014086902142,
0.008813641034066677,
0.033452536910772324,
0.010601291432976723,
0.014301199465990067,
-0.02819981798529625,
0.0009717051289044321,
0.05647631734609604,
-0.040603138506412506,
0.026397790759801865,
-0.010390415787696838,
-0.03397013992071152,
0.05164534971117973,
0.010754655115306377,
-0.04574083164334297,
0.00921142939478159,
-0.007883871905505657,
-0.010150784626603127,
-0.01768479496240616,
-0.018403688445687294,
-0.02265954203903675,
-0.016783779487013817,
-0.02172018587589264,
-0.03975963592529297,
0.009590046480298042,
0.02975262887775898,
0.013486452400684357,
-0.044092170894145966,
-0.016342857852578163,
0.034430231899023056,
-0.012671706266701221,
-0.025573458522558212,
0.008272074162960052,
-0.03339502587914467,
-0.02308129146695137,
-0.0193526279181242,
0.008296038024127483,
-0.009072443470358849,
-0.0117131806910038,
-0.018183227628469467,
-0.015489771030843258,
-0.032992444932460785,
0.035791341215372086,
-0.024116499349474907,
0.022141937166452408,
-0.010026175528764725,
0.01049585361033678,
-0.033299174159765244,
-0.03312663733959198,
-0.03176553174853325,
0.010409586131572723,
0.054214198142290115,
-0.03529290482401848,
0.0315738283097744,
0.00034147468977607787,
-0.05498101934790611,
-0.037880923599004745,
-0.016266176477074623,
-0.008013272657990456,
0.022161107510328293,
0.047427836805582047,
-0.018873365595936775,
0.012585438787937164,
-0.012844240292906761,
0.005813456606119871,
-0.00349622149951756,
-0.006987650413066149,
0.03142046183347702,
-0.025458434596657753,
-0.0192855317145586,
-0.04282691702246666,
-0.030634472146630287,
-0.00134553003590554,
-0.022487007081508636,
-0.0500350259244442,
0.04677604138851166,
-0.041254933923482895,
0.018087374046444893,
-0.033260833472013474,
-0.0007656221860088408,
0.01955391839146614,
-0.014051983132958412,
-0.008161843754351139,
-0.05291060358285904,
-0.006695300340652466,
0.023982306942343712,
0.051376961171627045,
0.03278157114982605,
-0.012307466939091682,
0.05490433797240257,
0.0228512454777956,
0.031861383467912674,
0.011070968583226204,
-0.015643134713172913,
-0.003939539659768343,
-0.025400923565030098,
0.0018152075354009867,
-0.013965715654194355,
-0.005108940415084362,
0.030346915125846863,
-0.02750968001782894,
0.0044283876195549965,
-0.04597087949514389,
-0.021739356219768524,
0.019256776198744774,
0.011722765862941742,
-0.041523322463035583,
0.0001237845717696473,
0.03115207701921463,
0.03506286069750786,
-0.07330802828073502,
0.05367742478847504,
0.002411889610812068,
-0.021624334156513214,
-0.05199041962623596,
-0.0027629495598375797,
-0.021931061521172523,
-0.00845419429242611,
0.031247928738594055,
0.005708018783479929,
0.024653274565935135,
0.03797677904367447,
0.01865290477871895,
-0.022084426134824753,
0.015269310213625431,
-0.0024993550032377243,
0.04321032762527466,
0.03324166312813759,
0.00002130472603312228,
0.0365389883518219,
-0.02588018588721752,
0.004878894425928593,
0.016630416736006737,
0.031669680029153824,
0.04535742476582527,
0.025554288178682327,
0.0077880192548036575,
0.061000559478998184,
0.009494194760918617,
-0.03372092545032501,
0.031094564124941826,
-0.004085714463144541,
0.014205346815288067,
0.020339909940958023,
0.03688405826687813,
0.04397714510560036,
0.004073732998222113,
0.015422673895955086,
0.014560000970959663,
0.004337327554821968,
0.0060578808188438416,
0.004842949565500021,
0.0077976044267416,
0.02191189117729664,
-0.0038676501717418432,
-0.04869309067726135,
-0.004040184896439314,
0.05973530560731888,
0.03891613334417343,
-0.028774933889508247,
0.016112811863422394,
0.030481109395623207,
0.013409771025180817,
-0.003199078608304262,
0.001754101482219994,
-0.044552262872457504,
-0.025707652792334557,
0.014655853621661663,
-0.011157236061990261,
0.007471705786883831,
0.015422673895955086,
0.002153087640181184,
-0.014090323820710182,
-0.006757604423910379,
-0.03218728303909302,
-0.0357721671462059,
0.0309987124055624,
0.040794841945171356,
-0.019879817962646484,
0.011866544373333454,
-0.035906363278627396,
-0.02630193717777729,
0.0022117975167930126,
-0.011559817008674145,
-0.04562580958008766,
-0.016687927767634392,
-0.01388903334736824,
0.012547098100185394,
0.023771431297063828,
-0.0021794470958411694,
0.023368850350379944,
0.04021972790360451,
0.023694748058915138,
0.0042342860251665115,
0.01125308871269226,
0.005156866740435362,
-0.024116499349474907,
0.0319572389125824,
0.038858622312545776,
-0.01252792775630951,
0.005300645716488361,
0.01621825061738491,
0.005497143138200045,
0.022410323843359947,
0.0046608299016952515,
0.0580483004450798,
0.01640995591878891,
-0.040794841945171356,
-0.017368480563163757,
0.017282214015722275,
0.03701825067400932,
0.01838451810181141,
-0.012547098100185394,
0.006402949802577496,
-0.012767558917403221,
-0.003870046464726329,
-0.02448073960840702,
0.013256406411528587,
-0.04692940413951874,
0.041715025901794434,
0.04639263078570366,
0.044820647686719894,
0.007668203208595514,
0.03751668706536293,
-0.008967005647718906,
0.006340645719319582,
-0.018374932929873466,
-0.018767928704619408,
-0.0008632719400338829,
-0.012662121094763279,
-0.013198895379900932,
-0.020148204639554024,
0.011722765862941742,
0.03126709908246994,
0.03308829665184021,
-0.011463964357972145,
0.008181014098227024,
-0.04562580958008766,
-0.0642978847026825,
-0.024154840037226677,
0.0020284794736653566,
-0.008305623196065426,
-0.011329771019518375,
0.0005200000596232712,
-0.012249954976141453,
0.08642065525054932,
-0.01819281280040741,
0.010313733480870724,
0.037880923599004745,
-0.03673069551587105,
-0.05632295459508896,
0.028755763545632362,
0.006259170826524496,
-0.0290241502225399,
0.012978434562683105,
0.04972830042243004,
0.04382378235459328,
-0.038935303688049316,
0.0038964059203863144,
0.010457511991262436,
0.00849253498017788,
0.008741752244532108,
0.003798156976699829,
0.041753366589546204,
-0.018279079347848892,
0.03197640925645828,
-0.01606488600373268,
0.04221345856785774,
-0.011770692653954029,
-0.009244977496564388,
-0.009105991572141647,
-0.036021385341882706,
-0.006120184902101755,
-0.020531615242362022,
-0.06667502969503403,
-0.00047447008546441793,
0.026397790759801865,
-0.0157869141548872,
0.04666101932525635,
-0.0015552075346931815,
-0.03504369035363197,
0.06794027984142303,
-0.05793327838182449,
-0.03347170725464821,
0.0010453917784616351,
-0.01652497798204422,
-0.006474839057773352,
0.03809180110692978,
-0.01375484000891447,
-0.009522950276732445,
-0.03763170912861824,
-0.020454932004213333,
0.007356682792305946,
-0.00037023043842054904,
0.002554470207542181,
0.04029640927910805,
-0.008526084013283253,
0.02451908029615879,
0.0339893102645874,
0.0004966359701938927,
-0.030902860686182976,
-0.004871705546975136,
0.0025209218729287386,
-0.0038892170414328575,
-0.04892313852906227,
-0.0036471893545240164,
0.008329586125910282,
-0.017119264230132103,
-0.0017792627913877368,
0.00439483905211091,
0.01068755891174078,
0.0037502306513488293,
0.02668534778058529,
0.011876130476593971,
0.011588572524487972,
0.014579171314835548,
-0.03005935810506344,
-0.028966639190912247,
-0.007879079319536686,
0.020512444898486137,
-0.026014380156993866,
0.06740351021289825,
-0.010610876604914665,
0.0029187100008130074,
-0.036481477320194244,
-0.03498617932200432,
-0.007625069934874773,
-0.007347097620368004,
-0.007855115458369255,
0.019295116886496544,
-0.016390785574913025,
0.03379760682582855,
0.005487557966262102,
-0.0015611982671543956,
0.023675577715039253,
-0.017905255779623985,
0.022352812811732292,
-0.02444239892065525,
-0.02505585551261902,
-0.0022669127210974693,
-0.0025089404080063105,
-0.001081336522474885,
0.007260830141603947,
-0.0214517991989851,
0.009259355254471302,
0.01563354954123497,
0.014751706272363663,
-0.00987281184643507,
0.026206085458397865,
-0.023023780435323715,
-0.0017157605616375804,
-0.020569955930113792,
-0.036328114569187164,
-0.057281479239463806,
-0.04574083164334297,
0.025113366544246674,
-0.021816039457917213,
-0.02653198316693306,
0.003678341396152973,
-0.007510046940296888,
-0.024154840037226677,
0.01602654531598091,
0.05153032764792442,
-0.0176943801343441,
-0.022065255790948868,
-0.0022645164281129837,
0.011128480546176434,
-0.02478746697306633,
0.03203392028808594,
-0.031631339341402054,
-0.04896147921681404,
0.008013272657990456,
0.014579171314835548,
-0.0009351613698527217,
-0.024461569264531136,
0.004718341398984194,
0.012767558917403221,
0.004878894425928593,
0.02785474807024002,
-0.054367560893297195,
-0.01341935619711876,
-0.03523539379239082,
-0.010946360416710377,
0.0063310605473816395,
-0.0015863595763221383,
-0.021624334156513214,
-0.01679336465895176,
-0.04505069553852081,
-0.009403134696185589,
-0.009336037561297417,
0.010323318652808666,
-0.017943596467375755,
0.01872958615422249,
0.01695631444454193,
-0.014483319595456123,
0.027682214975357056,
-0.011598157696425915,
-0.04516571760177612,
0.006834286265075207,
0.005142488982528448,
-0.03512037172913551,
-0.018240738660097122,
0.03845604136586189,
-0.022314472123980522,
0.051338620483875275,
-0.03397013992071152,
-0.0010268203914165497,
0.016774194315075874,
-0.03111373633146286,
-0.013064702041447163,
-0.04021972790360451,
0.024844979867339134,
0.013860277831554413,
-0.04321032762527466,
0.031132906675338745,
0.02622525580227375,
0.09516240656375885,
-0.0230429507791996,
0.0074812909588217735,
-0.02816147729754448,
0.007198526058346033,
-0.021240923553705215,
-0.011694010347127914,
-0.048041295260190964,
-0.010246637277305126,
-0.031286269426345825,
-0.030864518135786057,
-0.010227466002106667,
-0.001211935537867248,
-0.03205309063196182,
0.041216593235731125,
0.012096591293811798,
-0.030116869136691093,
0.060962218791246414,
-0.00670967809855938,
0.004366083536297083,
0.010169954970479012,
-0.032724056392908096,
-0.0012796313967555761,
-0.011971982195973396,
-0.012757973745465279,
-0.03849438205361366,
-0.06038710102438927,
0.020915023982524872,
-0.017790231853723526,
-0.002820461057126522,
-0.04393880441784859,
-0.006388572044670582,
-0.014675023965537548,
-0.03021272085607052,
-0.0548659972846508,
-0.032685715705156326,
-0.026397790759801865,
0.018288664519786835,
0.0002821659145411104,
0.0071218437515199184,
0.017195945605635643,
-0.0014437789795920253,
-0.013400185853242874,
-0.026359450072050095,
0.0071362219750881195,
-0.02789309062063694,
0.022199448198080063,
0.034698620438575745,
0.006450876127928495,
-0.041676685214042664,
-0.024231523275375366,
0.007649032864719629,
0.005156866740435362,
-0.006407742388546467,
0.008233733475208282,
-0.005799078848212957,
-0.03212977200746536,
0.0025520739145576954,
-0.009844056330621243,
-0.05011171102523804,
0.04324866831302643,
0.009431890211999416,
-0.03232147917151451,
0.03983631730079651,
0.029580093920230865,
0.036098066717386246,
-0.0021291247103363276,
0.011876130476593971,
-0.018489954993128777,
0.0009028111235238612,
0.009891982190310955,
-0.008411061018705368,
0.044667284935712814,
0.0030433181673288345,
0.01000700518488884,
-0.00022420508321374655,
-0.027413826435804367,
0.01497216708958149,
-0.0603487603366375,
-0.0548659972846508,
0.03573382645845413,
-0.007922212593257427,
-0.008252903819084167,
0.03308829665184021,
-0.03956792876124382,
0.0016666360897943377,
0.0052000004798173904,
-0.016572903841733932,
0.01792442612349987,
-0.040641479194164276,
-0.006417327560484409,
-0.02428903430700302
] |
Autonomous driving services rely heavily on sensors such as cameras, LiDAR,
radar, and communication modules. A common practice of processing the sensed
data is using a high-performance computing unit placed inside the vehicle,
which deploys AI models and algorithms to act as the brain or administrator of
the vehicle. The vehicular data generated from average hours of driving can be
up to 20 Terabytes depending on the data rate and specification of the sensors.
Given the scale and fast growth of services for autonomous driving, it is
essential to improve the overall energy and environmental efficiency,
especially in the trend towards vehicular electrification (e.g.,
battery-powered). Although the areas have seen significant advancements in
sensor technologies, wireless communications, computing and AI/ML algorithms,
the challenge still exists in how to apply and integrate those technology
innovations to achieve energy efficiency. This survey reviews and compares the
connected vehicular applications, vehicular communications, approximation and
Edge AI techniques. The focus is on energy efficiency by covering newly
proposed approximation and enabling frameworks. To the best of our knowledge,
this survey is the first to review the latest approximate Edge AI frameworks
and publicly available datasets in energy-efficient autonomous driving. The
insights and vision from this survey can be beneficial for the collaborative
driving service development on low-power and memory-constrained systems and
also for the energy optimization of autonomous vehicles. | [
-0.031425539404153824,
0.02161436714231968,
-0.025691494345664978,
-0.04136703163385391,
0.03935639187693596,
0.007893619127571583,
0.014605056494474411,
0.0017313833814114332,
-0.052462778985500336,
-0.00540359178557992,
0.058420225977897644,
-0.05916490778326988,
0.01745346188545227,
-0.014623673632740974,
-0.04996809735894203,
0.010769949294626713,
0.014437503181397915,
-0.0348510704934597,
0.04285639151930809,
-0.009811172261834145,
0.03786702826619148,
-0.02574734576046467,
-0.021037239581346512,
-0.021372346207499504,
0.004146942403167486,
0.013078460469841957,
0.045351073145866394,
0.0029694156255573034,
-0.04918618127703667,
0.01785372756421566,
0.001304355333559215,
-0.01605718396604061,
-0.005417554639279842,
-0.013795215636491776,
-0.029601071029901505,
-0.020069153979420662,
0.03823937103152275,
0.001719747786410153,
0.029489368200302124,
0.0253750067204237,
0.018952131271362305,
0.005715426988899708,
-0.05149469152092934,
0.0014916891232132912,
-0.03464628383517265,
-0.03408777341246605,
-0.016503993421792984,
-0.0128271309658885,
0.004423870705068111,
-0.009904257953166962,
-0.005743352230638266,
-0.07901065796613693,
0.03276596590876579,
0.0053291236981749535,
-0.03689894452691078,
0.03693617880344391,
0.08265959471464157,
0.056595757603645325,
0.022936174646019936,
0.04367554187774658,
0.020795216783881187,
0.00759574631229043,
-0.0464680939912796,
-0.011198140680789948,
-0.03864894434809685,
-0.004509974271059036,
0.02548670768737793,
0.06754256784915924,
0.002638963283970952,
-0.010714097879827023,
-0.025617027655243874,
0.005282580852508545,
0.011626332066953182,
-0.022898942232131958,
0.019007982686161995,
-0.009248007088899612,
-0.03473937138915062,
0.054771289229393005,
-0.06467554718255997,
0.01180319394916296,
0.035577137023210526,
0.03823937103152275,
-0.024127665907144547,
-0.014856385998427868,
0.07640427350997925,
-0.006576464045792818,
-0.025933517143130302,
-0.08184044063091278,
0.047287244349718094,
0.007228060159832239,
-0.02070213295519352,
0.007018618751317263,
-0.009941491298377514,
-0.0015521944733336568,
0.0004095745680388063,
0.02543085627257824,
-0.006660240702331066,
-0.017211440950632095,
-0.0008278758614324033,
0.02086968533694744,
0.016699472442269325,
0.008484709076583385,
0.057936184108257294,
0.0045076473616063595,
0.04538830742239952,
-0.043154265731573105,
-0.03704788163304329,
0.008736039511859417,
0.010881651192903519,
0.0739840567111969,
-0.011905588209629059,
-0.04888831079006195,
-0.011142290197312832,
-0.009229389950633049,
-0.029973411932587624,
0.023085111752152443,
0.04307979717850685,
-0.06188299134373665,
0.025579793378710747,
0.03507447615265846,
0.05000533163547516,
0.03215160220861435,
-0.002452793065458536,
-0.010639630258083344,
-0.03380851820111275,
0.047882989048957825,
0.009094417095184326,
-0.09114895761013031,
0.023085111752152443,
-0.02833511307835579,
0.024723410606384277,
0.03957979753613472,
-0.017760641872882843,
0.030829794704914093,
0.02898670919239521,
-0.004007314797490835,
0.00535239465534687,
0.007856384851038456,
0.02317819744348526,
-0.0381649024784565,
-0.00997872557491064,
0.0061994693242013454,
-0.03228192403912544,
0.003127660369500518,
-0.021968090906739235,
0.00746077299118042,
-0.05484575778245926,
0.07737235724925995,
-0.030792560428380966,
0.01857048273086548,
-0.02258245274424553,
0.06787767261266708,
0.042446818202733994,
0.0023492358159273863,
0.0445319265127182,
-0.01708112098276615,
-0.004582115449011326,
-0.0024504659231752157,
-0.01479122694581747,
-0.03628458455204964,
0.038686178624629974,
-0.03805319964885712,
-0.006623006891459227,
-0.02338298410177231,
0.03641490265727043,
-0.00882912427186966,
0.05015426501631737,
-0.0038676869589835405,
-0.04311703145503998,
0.04274469241499901,
0.0050405594520270824,
-0.02909841015934944,
0.003334774635732174,
0.01748138666152954,
0.009531917050480843,
0.035409580916166306,
0.045686181634664536,
0.018952131271362305,
-0.03112766705453396,
0.02753457985818386,
-0.03628458455204964,
-0.020255323499441147,
0.056111715734004974,
0.014316492713987827,
0.058643631637096405,
0.02742287889122963,
0.003309176303446293,
-0.0031718758400529623,
0.02334574982523918,
-0.009108379483222961,
0.02597075141966343,
0.03957979753613472,
0.026007983833551407,
-0.04587234929203987,
0.00782845914363861,
-0.05540426820516586,
-0.00915492232888937,
-0.01400931179523468,
0.002676197327673435,
0.017984047532081604,
-0.03639628365635872,
-0.0008546378230676055,
-0.028316495940089226,
0.07368618994951248,
0.020683515816926956,
0.006362368352711201,
0.0142792584374547,
-0.023811176419258118,
0.06780320405960083,
-0.008615028113126755,
-0.04047341272234917,
0.023420218378305435,
-0.06244150549173355,
-0.02301064319908619,
0.0029577799141407013,
0.019175536930561066,
0.003600067226216197,
-0.02247074991464615,
0.021763302385807037,
0.010844416916370392,
0.012119683437049389,
-0.015275269746780396,
0.023513304069638252,
-0.0172859076410532,
-0.046170223504304886,
-0.05875533074140549,
0.01763032376766205,
0.02463032491505146,
-0.03477660194039345,
-0.05037767067551613,
0.017555855214595795,
-0.009187501855194569,
-0.006008645053952932,
-0.021000005304813385,
0.013348407112061977,
-0.04021277651190758,
0.010192821733653545,
-0.036545220762491226,
-0.02705053798854351,
-0.000779587950091809,
-0.025468090549111366,
-0.011570481583476067,
-0.028707453981041908,
-0.05022873356938362,
0.05581384152173996,
-0.03027128428220749,
-0.03898405283689499,
0.042670223861932755,
0.04620745778083801,
0.02010638825595379,
0.010583778843283653,
-0.017239365726709366,
-0.02861436828970909,
0.006632315460592508,
-0.018775269389152527,
0.024444155395030975,
0.04974469169974327,
-0.01930585503578186,
-0.02215426042675972,
0.0035767960362136364,
0.046654265373945236,
-0.0034115698654204607,
-0.024853728711605072,
0.056707460433244705,
-0.08206384629011154,
0.00283676921389997,
0.07621810585260391,
0.06642554700374603,
0.01654122769832611,
-0.019882982596755028,
-0.006483379285782576,
-0.022824473679065704,
0.00820080004632473,
-0.031164901331067085,
-0.019287237897515297,
-0.030308516696095467,
-0.03801596537232399,
-0.011039895936846733,
0.020031919702887535,
-0.0007603891426697373,
-0.018756654113531113,
-0.050303202122449875,
0.06966491043567657,
-0.02021808922290802,
-0.0571170337498188,
-0.04866490513086319,
0.009401598013937473,
-0.039989370852708817,
-0.008521943353116512,
-0.01739761047065258,
-0.028465431183576584,
-0.002462101634591818,
-0.03032713383436203,
-0.019938834011554718,
0.03838830813765526,
-0.04564894735813141,
0.001251994981430471,
-0.02167021855711937,
-0.01368351373821497,
-0.049930863082408905,
-0.03555851802229881,
-0.0232340469956398,
0.05410107597708702,
0.048478733748197556,
0.01198936440050602,
-0.024276601150631905,
-0.029936177656054497,
0.04572341591119766,
-0.01295745000243187,
0.02059043012559414,
0.0009855388198047876,
0.01626197248697281,
-0.0060877674259245396,
-0.04684043675661087,
0.011700800620019436,
0.040250010788440704,
0.04289362579584122,
0.0008732548449188471,
-0.05045213922858238,
-0.024816494435071945,
0.037196818739175797,
-0.0050172884948551655,
-0.10872343182563782,
0.029694154858589172,
0.0069394963793456554,
-0.01682979054749012,
0.02528192102909088,
-0.013450801372528076,
-0.04974469169974327,
0.015117025002837181,
-0.05737767368555069,
-0.03652660548686981,
-0.041106391698122025,
0.03280320018529892,
0.028093092143535614,
0.0253750067204237,
-0.03639628365635872,
0.030885646119713783,
-0.03876064717769623,
0.013385641388595104,
-0.012873672880232334,
-0.036172881722450256,
-0.09122342616319656,
-0.0474361814558506,
-0.014372344128787518,
-0.017639631405472755,
-0.011486704461276531,
0.014018620364367962,
-0.024276601150631905,
-0.04289362579584122,
0.0009704124531708658,
-0.0203297920525074,
-0.03931915760040283,
-0.02140957862138748,
0.05529256537556648,
-0.011886971071362495,
-0.05964894965291023,
-0.024127665907144547,
-0.041218094527721405,
-0.01049069408327341,
0.03472075238823891,
-0.035632986575365067,
0.006306517403572798,
0.05689363181591034,
-0.0493723526597023,
0.010304523631930351,
0.01930585503578186,
-0.05011703446507454,
0.02839096449315548,
0.008140294812619686,
-0.0036861710250377655,
0.0109933540225029,
-0.037569157779216766,
0.009671544656157494,
-0.006306517403572798,
-0.017099738121032715,
0.034981392323970795,
-0.045090436935424805,
0.004409907851368189,
0.0374760739505291,
0.05000533163547516,
-0.004607713781297207,
-0.03155585750937462,
-0.0039980062283575535,
0.02947075106203556,
0.04542554169893265,
0.003341756062582135,
-0.0069394963793456554,
0.016168886795639992,
0.08638300001621246,
-0.01277127955108881,
-0.03920745477080345,
0.018747344613075256,
-0.06731916218996048,
0.016606386750936508,
0.022005323320627213,
0.010332449339330196,
-0.040734052658081055,
-0.01884973794221878,
-0.0416276678442955,
-0.06456384807825089,
0.04967022314667702,
0.03203989937901497,
0.009136305190622807,
-0.024555856361985207,
0.020125005394220352,
-0.0396914966404438,
-0.024704793468117714,
-0.0020757983438670635,
0.025896282866597176,
-0.020069153979420662,
-0.030085112899541855,
-0.00003021630436705891,
-0.03604255989193916,
0.012985375709831715,
-0.014102396555244923,
-0.008377661928534508,
0.012808513827621937,
0.012557183392345905,
-0.04345213621854782,
-0.05931384488940239,
0.05942554399371147,
-0.0037885645870119333,
-0.011328459717333317,
-0.00020987787866033614,
0.033417560160160065,
0.004344748333096504,
0.014223407953977585,
-0.022731387987732887,
0.005478059872984886,
-0.01802127994596958,
-0.043526604771614075,
0.03345479443669319,
-0.02167021855711937,
-0.001983876805752516,
-0.013404258526861668,
0.020515961572527885,
0.06396809965372086,
-0.0323563888669014,
0.008717422373592854,
-0.027925537899136543,
-0.018579792231321335,
0.018812503665685654,
0.03924468904733658,
-0.03326862305402756,
-0.05633511766791344,
0.014111705124378204,
-0.02876330353319645,
-0.01588963158428669,
-0.059611715376377106,
-0.07510107755661011,
0.05786171555519104,
-0.05048937350511551,
-0.04538830742239952,
0.010593087412416935,
-0.02183777093887329,
0.022880325093865395,
-0.041590433567762375,
-0.03695479407906532,
-0.060468100011348724,
0.05361703410744667,
0.056223418563604355,
0.036750007420778275,
-0.027404261752963066,
0.04475532844662666,
0.052611712366342545,
-0.045797884464263916,
-0.026361707597970963,
-0.006655586417764425,
0.01238963007926941,
-0.0348510704934597,
-0.059611715376377106,
0.029507985338568687,
0.08109576255083084,
-0.03894681856036186,
-0.0005314578884281218,
-0.019920216873288155,
-0.05149469152092934,
-0.005785240791738033,
-0.007386304903775454,
-0.008265959098935127,
0.07472874224185944,
0.08429788798093796,
-0.015079790726304054,
-0.03285904973745346,
0.013664896599948406,
0.07424470037221909,
0.007093086838722229,
-0.0034022615291178226,
-0.05555320531129837,
-0.026529261842370033,
0.028521282598376274,
-0.005952794104814529,
-0.036061178892850876,
-0.06370746344327927,
0.00951329991221428,
-0.009587768465280533,
-0.0033324474934488535,
-0.027069155126810074,
0.06988831609487534,
-0.053579799830913544,
0.01395346038043499,
0.011142290197312832,
-0.02275000512599945,
-0.06441491097211838,
-0.002571476623415947,
0.0478457547724247,
0.0002987450861837715,
-0.0455000102519989,
0.0032347082160413265,
-0.011775268241763115,
0.004174868110567331,
0.0006603226065635681,
-0.013422875665128231,
0.011551864445209503,
0.010714097879827023,
0.007516623940318823,
-0.0406595841050148,
-0.031648945063352585,
0.02807447500526905,
0.0037071153055876493,
0.01341356709599495,
0.033957455307245255,
0.02656649611890316,
0.006823139730840921,
0.027236707508563995,
0.006073804572224617,
0.0005375666078180075,
0.06690958887338638,
-0.03015958145260811,
-0.036172881722450256,
0.008857049979269505,
-0.053058523684740067,
-0.03658245503902435,
-0.02790692076086998,
-0.0003461603191681206,
0.0018035243265330791,
0.05168086290359497,
0.006380985490977764,
0.007600400596857071,
-0.04613298922777176,
0.032989367842674255,
0.028055857867002487,
0.022563835605978966,
-0.003569814609363675,
-0.0055199479684233665,
0.02770213410258293,
-0.01626197248697281,
-0.023215431720018387,
0.003918883856385946,
0.038313839584589005,
-0.022117026150226593,
-0.005510639399290085,
0.016466759145259857,
0.009457449428737164,
0.019054526463150978,
-0.010918885469436646,
-0.04028724506497383,
-0.012882981449365616,
-0.04047341272234917,
-0.017378993332386017,
-0.040845755487680435,
0.02092553675174713,
0.029396282508969307,
-0.021968090906739235,
-0.009988034144043922,
0.006376331206411123,
0.035893626511096954,
-0.019398940727114677,
0.021577132865786552,
-0.0381649024784565,
-0.016988035291433334,
-0.06839895248413086,
-0.05566490814089775,
0.00865691713988781,
0.03984043374657631,
0.00951329991221428,
-0.02813032642006874,
-0.01602925918996334,
0.008615028113126755,
0.013990694656968117,
-0.003676862455904484,
0.06884576380252838,
0.04043617844581604,
0.0300106443464756,
-0.006125001236796379,
-0.0464680939912796,
-0.06393086910247803,
0.027460113167762756,
-0.028316495940089226,
0.019640961661934853,
0.01779787614941597,
-0.03399468958377838,
-0.012305853888392448,
-0.019547875970602036,
-0.047771286219358444,
0.0052406927570700645,
0.027757985517382622,
0.007572475355118513,
-0.050898946821689606,
0.028316495940089226,
0.04393618181347847,
0.007307182531803846,
0.06206916272640228,
-0.00795877818018198,
0.010202130302786827,
0.028242027387022972,
0.015098407864570618,
-0.027292558923363686,
-0.0055199479684233665,
0.031909581273794174,
-0.008866358548402786,
0.02451862208545208,
0.0010245181620121002,
0.032021284103393555,
0.003574468893930316,
0.03136968985199928,
-0.0009436504915356636,
0.00668351212516427,
0.0076143634505569935,
0.00534774037078023,
0.0016150269657373428,
-0.02258245274424553,
0.022675536572933197,
-0.03092287853360176,
0.020962771028280258,
-0.003362700343132019,
-0.003604721510782838,
-0.034664902836084366,
-0.008750001899898052,
0.022172877565026283,
-0.015871014446020126,
-0.011719417758286,
0.0046216766349971294,
0.012882981449365616,
-0.032449476420879364,
-0.03440426290035248,
-0.007470081560313702,
0.0020280922763049603,
-0.01901729218661785,
-0.012882981449365616,
-0.023885643109679222,
-0.012510641478002071,
0.0493723526597023,
-0.004237700253725052,
0.007996012456715107,
-0.030308516696095467,
-0.034925539046525955,
0.014288567006587982,
0.023085111752152443,
0.029712771996855736,
0.06028192862868309,
0.0219867080450058,
0.023587770760059357,
-0.0054454798810184,
-0.04367554187774658,
0.043750010430812836,
0.0033696815371513367,
0.013506651856005192,
0.021968090906739235,
0.0005017869989387691,
0.033045221120119095,
0.013748673722147942,
-0.00700465589761734,
0.03440426290035248,
0.0061761983670294285,
0.039989370852708817,
0.021316494792699814,
0.018002662807703018,
0.028577134013175964,
0.001205452368594706,
-0.015275269746780396,
-0.0006405420135706663,
0.005408246070146561,
0.018840430304408073,
-0.015079790726304054,
0.03425532579421997,
0.02677128277719021,
0.027385644614696503,
0.0022433516569435596,
0.017984047532081604,
-0.013469417579472065,
-0.030885646119713783,
-0.006515958812087774,
-0.07279256731271744,
-0.013273939490318298,
0.006916224956512451,
0.022191494703292847,
-0.02930319868028164,
-0.023755325004458427,
-0.03187234699726105,
0.021577132865786552,
-0.009490028955042362,
-0.005012634210288525,
0.018291227519512177,
0.01360904611647129,
-0.011486704461276531,
0.06426597386598587,
0.048702139407396317,
-0.02850266546010971,
0.005543219391256571,
-0.00017497094813734293,
-0.030476070940494537,
-0.017574472352862358,
-0.004696144722402096,
0.009578459896147251,
-0.008768619038164616,
0.005208112765103579,
-0.006022607907652855,
-0.020962771028280258,
0.0035186177119612694,
0.014027928933501244,
0.011644949205219746,
0.005510639399290085,
0.11058513075113297,
-0.0024923542514443398,
-0.011514630168676376,
0.012156917713582516,
-0.03954256325960159,
-0.007111703976988792,
0.04818086326122284,
-0.02651064470410347,
-0.0074747358448803425,
-0.018011972308158875,
-0.04077128693461418,
0.002692487323656678,
0.030587773770093918,
0.013394949957728386,
-0.055367033928632736,
-0.012007981538772583,
0.015675535425543785,
-0.0016429525567218661,
-0.0033115034457296133,
0.015898939222097397,
0.054547883570194244,
0.008130986243486404,
0.020571812987327576,
0.024481387808918953,
-0.01750931330025196,
0.010118353180587292,
-0.016643621027469635,
-0.004863698035478592,
0.018700802698731422,
-0.02414628304541111,
-0.008759310469031334,
-0.010546544566750526,
0.00599468220025301,
0.036005325615406036,
-0.06530852615833282,
0.008214762434363365,
-0.003346410347148776,
-0.0391329862177372,
0.029973411932587624,
-0.02639894187450409,
-0.016531918197870255,
-0.008480055257678032,
0.0015300867380574346,
-0.04985639452934265,
0.05290958657860756,
-0.009308512322604656,
-0.021260643377900124,
0.04263298958539963,
-0.032337773591279984,
0.023308515548706055,
0.07789363712072372,
-0.011738034896552563,
0.03177926316857338,
0.003676862455904484,
0.003316157730296254,
0.06113831326365471,
0.029750006273388863,
0.02930319868028164,
0.016978727653622627,
-0.0037373679224401712,
0.01810505799949169,
-0.004249336197972298,
0.027981389313936234,
-0.02559841051697731,
-0.011886971071362495,
0.013990694656968117,
-0.05037767067551613,
0.0297313891351223,
0.011105055920779705,
0.0034325141459703445,
-0.03935639187693596,
-0.004661237820982933,
0.018468089401721954,
-0.05909043923020363,
0.021037239581346512,
0.035893626511096954,
-0.010202130302786827,
-0.007930852472782135,
0.03215160220861435,
0.030457453802227974,
0.048851076513528824,
-0.031593091785907745,
-0.009476065635681152,
-0.028409581631422043,
-0.04609575495123863,
-0.03585639223456383,
0.01793750375509262,
0.01349734328687191,
0.016559844836592674,
0.03580053895711899,
-0.026156920939683914,
-0.04657979682087898,
-0.014996013604104519,
-0.043414901942014694,
0.002552859717980027,
0.01492154598236084,
0.040994688868522644,
0.025840431451797485,
-0.008140294812619686,
0.03931915760040283,
0.004381982609629631,
-0.02392287738621235,
-0.00818683672696352,
0.017304524779319763,
-0.035949476063251495,
-0.03151862323284149,
0.03695479407906532,
-0.01717420667409897,
-0.0016778594581410289,
0.024797877296805382,
-0.02952660247683525,
-0.041218094527721405,
0.06255320459604263,
0.005557182244956493,
0.021372346207499504,
0.004975399933755398,
-0.01336702425032854,
0.03661968931555748,
-0.03365958109498024,
0.05797341838479042,
-0.0054687513038516045,
0.005761969368904829,
0.007507315371185541,
-0.015526599250733852,
-0.002748338505625725,
0.021521281450986862,
0.006604389753192663,
-0.0028018623124808073,
0.020962771028280258,
0.028744688257575035,
-0.06728193163871765,
-0.03984043374657631,
0.023736707866191864,
-0.010285906493663788,
0.022712770849466324,
-0.001985040260478854,
0.0079168900847435,
-0.010313832201063633,
0.03701064735651016,
-0.007954124361276627,
-0.014698141254484653,
0.026175538077950478,
0.023513304069638252,
-0.02995479479432106,
0.0020234379917383194,
-0.03177926316857338,
-0.01656915247440338,
-0.004603059496730566,
0.0006975566502660513,
0.028484048321843147,
0.041702136397361755,
-0.03516755998134613,
-0.011244683526456356,
0.014176865108311176,
-0.013730056583881378,
-0.012091757729649544,
-0.014614365063607693,
0.012212769128382206,
0.026156920939683914,
0.00022558598720934242,
-0.013432184234261513,
0.0082985395565629,
-0.0059202141128480434,
0.015908248722553253,
0.009178193286061287,
-0.017323141917586327,
-0.004596078302711248,
0.024797877296805382,
0.008763965219259262,
0.039654266089200974,
0.05361703410744667,
-0.024984048679471016,
-0.03779256343841553,
-0.04553724452853203,
0.03399468958377838,
0.00925266183912754,
0.009378327056765556,
0.03203989937901497,
0.019752664491534233,
0.027460113167762756,
0.03613564744591713,
0.025635644793510437,
-0.0035000008065253496,
-0.0031323146540671587,
0.0038723412435501814,
-0.02924734726548195,
0.012426864355802536,
0.020180854946374893,
-0.045239370316267014,
0.006827794015407562,
-0.00013061007484793663,
0.0005567654152400792,
-0.021875005215406418,
-0.02602660097181797,
0.007660905830562115,
-0.022973408922553062,
-0.009559842757880688,
0.00635771406814456,
-0.05037767067551613,
-0.04296809434890747,
0.05007980018854141,
-0.004952128976583481,
-0.03338032588362694,
-0.04561171308159828,
0.06821278482675552,
-0.04512767121195793,
-0.020888302475214005,
0.018011972308158875,
-0.013394949957728386,
-0.00632048025727272,
-0.07238299399614334,
-0.0248909629881382,
-0.027143623679876328,
-0.03790426254272461,
-0.0058876341208815575,
-0.010192821733653545,
-0.022452132776379585,
0.033734049648046494,
0.09554257243871689,
-0.0012275601038709283,
0.04974469169974327,
-0.03846277296543121,
-0.03265426307916641,
-0.02613830380141735,
-0.025319155305624008,
0.022973408922553062,
-0.05585107579827309,
-0.02721809223294258,
0.010369683615863323,
0.05123405531048775,
-0.015852397307753563,
-0.0177699513733387,
0.02247074991464615,
-0.005236038472503424,
0.018207451328635216,
0.052239373326301575,
0.008256650529801846,
0.048106394708156586,
0.030476070940494537,
-0.038425542414188385,
0.01788165234029293,
-0.04963298887014389,
-0.022340429946780205,
-0.030513305217027664,
0.00511968182399869,
0.03980319947004318,
-0.011961438693106174,
0.043414901942014694,
-0.04516490548849106,
-0.015079790726304054,
-0.021968090906739235,
0.02893085777759552,
-0.026119686663150787,
0.010965428315103054,
-0.031909581273794174,
0.003595412941649556,
0.005492022726684809,
-0.029861709102988243,
0.005938831251114607,
-0.02941489964723587,
-0.012417555786669254,
-0.01069548074156046,
-0.0007650433690287173,
-0.04389894753694534,
0.017099738121032715,
-0.028465431183576584,
0.0010064829839393497,
0.007051198277622461,
-0.008270613849163055,
-0.0029414899181574583,
-0.012706119567155838,
-0.011421545408666134,
0.015303194522857666,
-0.007144283503293991,
-0.05015426501631737,
0.05045213922858238,
-0.011952130123972893,
-0.0015417224494740367,
0.04676596820354462,
0.018868355080485344,
-0.039281923323869705,
-0.006865028291940689,
0.0266223456710577,
0.010174204595386982,
0.009001331403851509,
0.00700465589761734,
-0.042930860072374344,
-0.02334574982523918,
-0.010416225530207157,
0.04639362916350365,
-0.006232049316167831,
0.016587769612669945,
0.027385644614696503,
-0.003967753611505032,
-0.03470213711261749,
0.057787247002124786,
-0.0033557189162820578,
-0.024109048768877983,
0.014093087986111641,
-0.03736437112092972,
-0.02209840901196003,
0.024965431541204453,
-0.011067821644246578,
-0.011840428225696087,
0.007986703887581825,
-0.04698937386274338,
-0.020143622532486916,
-0.029563836753368378,
0.019454792141914368,
-0.02494681440293789
] |
Current space-based missions, such as the Transiting Exoplanet Survey
Satellite (TESS), provide a large database of light curves that must be
analysed efficiently and systematically. In recent years, deep learning (DL)
methods, particularly convolutional neural networks (CNN), have been used to
classify transit signals of candidate exoplanets automatically. However, CNNs
have some drawbacks; for example, they require many layers to capture
dependencies on sequential data, such as light curves, making the network so
large that it eventually becomes impractical. The self-attention mechanism is a
DL technique that attempts to mimic the action of selectively focusing on some
relevant things while ignoring others. Models, such as the Transformer
architecture, were recently proposed for sequential data with successful
results. Based on these successful models, we present a new architecture for
the automatic classification of transit signals. Our proposed architecture is
designed to capture the most significant features of a transit signal and
stellar parameters through the self-attention mechanism. In addition to model
prediction, we take advantage of attention map inspection, obtaining a more
interpretable DL approach. Thus, we can identify the relevance of each element
to differentiate a transit signal from false positives, simplifying the manual
examination of candidates. We show that our architecture achieves competitive
results concerning the CNNs applied for recognizing exoplanetary transit
signals in data from the TESS telescope. Based on these results, we demonstrate
that applying this state-of-the-art DL model to light curves can be a powerful
technique for transit signal detection while offering a level of
interpretability. | [
-0.010794298723340034,
-0.025543322786688805,
-0.021856067702174187,
-0.033529192209243774,
0.02892489917576313,
-0.0011468942975625396,
0.02141665294766426,
0.02646036073565483,
-0.03947083279490471,
0.06805184483528137,
0.004991169087588787,
-0.04940541088581085,
-0.020002886652946472,
-0.05949282646179199,
-0.03119838982820511,
-0.01890435256063938,
0.02636483684182167,
0.0015797408996149898,
-0.008172144182026386,
-0.02644125558435917,
-0.0456608384847641,
-0.04722744598984718,
0.003737406572327018,
-0.02369014360010624,
0.042756885290145874,
0.023441778495907784,
0.03377755731344223,
0.0024669270496815443,
-0.10576502233743668,
0.02512301504611969,
0.05869041755795479,
0.031924378126859665,
0.015026045963168144,
0.0006292694015428424,
-0.0525004118680954,
-0.06121227145195007,
0.05253862217068672,
0.018875693902373314,
-0.007403169758617878,
-0.008936341851949692,
0.035630740225315094,
-0.041992686688899994,
-0.012360905297100544,
0.004618622362613678,
-0.0019833329133689404,
-0.016334734857082367,
-0.04925256967544556,
-0.02844727598130703,
0.0032048560678958893,
-0.035917311906814575,
-0.039814725518226624,
-0.05720023065805435,
-0.010230702348053455,
-0.018512699753046036,
-0.048679422587156296,
0.06866320222616196,
0.0051440089009702206,
0.017385508865118027,
0.061517950147390366,
0.03425518050789833,
0.08979327976703644,
0.04348287358880043,
-0.017700739204883575,
-0.0030997786670923233,
0.03492385521531105,
-0.056665293872356415,
0.023365357890725136,
-0.03427428752183914,
-0.014968731440603733,
-0.0007689743652008474,
-0.04111386090517044,
-0.022524740546941757,
-0.017672082409262657,
-0.03757944330573082,
0.02244831994175911,
0.02454986609518528,
-0.0025767807383090258,
0.053723130375146866,
0.0013242120621725917,
0.018894799053668976,
0.021836962550878525,
0.052576832473278046,
-0.017700739204883575,
0.040005773305892944,
0.049061521887779236,
-0.007747058756649494,
0.0007415110012516379,
-0.058002639561891556,
0.011014006100594997,
-0.019620787352323532,
-0.04222194850444794,
0.01611502841114998,
-0.04909973219037056,
-0.017910894006490707,
0.03576447442173958,
0.008969775401055813,
0.04890868067741394,
-0.02197069674730301,
-0.025906316936016083,
-0.0021516953129321337,
-0.02235279604792595,
-0.028982214629650116,
0.03482833132147789,
-0.02966999262571335,
0.029364313930273056,
-0.06801363825798035,
-0.056856341660022736,
0.00988681335002184,
0.021282918751239777,
0.09865798056125641,
0.008301102556288242,
0.0017504914430901408,
-0.002415582537651062,
-0.032688576728105545,
-0.05857578665018082,
-0.02854280173778534,
-0.07542635500431061,
0.04348287358880043,
-0.05387597158551216,
-0.02027035690844059,
0.02101544849574566,
0.06117406114935875,
-0.002734396606683731,
0.02113007940351963,
-0.02218085154891014,
0.04711281508207321,
0.001004801131784916,
-0.00928500760346651,
0.014682156965136528,
0.02502748928964138,
-0.032210953533649445,
0.032019902020692825,
-0.0030090301297605038,
0.013554965145885944,
0.019190926104784012,
0.011004453524947166,
-0.004241299815475941,
-0.0007462872308678925,
-0.01413766574114561,
-0.038592007011175156,
-0.003897410584613681,
-0.01907629705965519,
0.022677579894661903,
0.01512157078832388,
-0.01597174070775509,
0.016888778656721115,
-0.005535660311579704,
0.04925256967544556,
-0.044476334005594254,
-0.019066743552684784,
0.02265847474336624,
0.05318818986415863,
-0.03794243931770325,
-0.00532550597563386,
0.03396860882639885,
0.05433448776602745,
0.00051463971612975,
0.00906052440404892,
-0.05001676827669144,
-0.019639892503619194,
0.014997389167547226,
-0.04909973219037056,
0.004026369191706181,
-0.051048435270786285,
0.0061135850846767426,
0.025352273136377335,
0.050857387483119965,
-0.000189109196071513,
-0.15154048800468445,
0.04394139349460602,
0.00884559378027916,
0.025333167985081673,
0.009523819200694561,
0.01826433651149273,
-0.02263936959207058,
0.023556407541036606,
0.04860300198197365,
-0.015207543037831783,
-0.04157238081097603,
-0.0075369044207036495,
-0.07275166362524033,
0.013230180367827415,
0.035458795726299286,
0.05196547508239746,
0.07886525243520737,
0.027377398684620857,
0.0851316750049591,
0.05039886757731438,
-0.023365357890725136,
0.03759855031967163,
-0.0097053162753582,
-0.014920968562364578,
0.05127769708633423,
-0.017777159810066223,
-0.021091869100928307,
-0.05326461046934128,
-0.020327670499682426,
-0.0016788478242233396,
0.00006455384573200718,
-0.042374785989522934,
-0.03255484253168106,
-0.07447110861539841,
-0.01788223721086979,
-0.010163835249841213,
-0.017681634053587914,
0.002937386743724346,
0.019534815102815628,
-0.029994778335094452,
0.021856067702174187,
-0.052462201565504074,
-0.042756885290145874,
-0.0027940995059907436,
-0.027644868940114975,
-0.006796587258577347,
-0.0016286972677335143,
0.004310555290430784,
0.06147973984479904,
-0.0012286873534321785,
0.028695641085505486,
-0.023957611992955208,
0.04653966799378395,
-0.02359461784362793,
0.04917615279555321,
0.0023451331071555614,
0.015475012362003326,
0.01032622717320919,
0.004043085966259241,
-0.02646036073565483,
-0.024014927446842194,
-0.0008310654666274786,
-0.052958931773900986,
-0.023556407541036606,
0.015570537187159061,
-0.03081629052758217,
-0.02722455933690071,
-0.045546211302280426,
0.06988592445850372,
-0.0018925844924524426,
-0.03870663791894913,
-0.06025702506303787,
0.008143486455082893,
-0.020996343344449997,
-0.02111097425222397,
0.0029015648178756237,
0.06621777266263962,
0.005416254512965679,
0.016000399366021156,
0.05842294916510582,
0.027950547635555267,
-0.0008662902400828898,
-0.004468170925974846,
-0.03576447442173958,
-0.00362755311653018,
-0.006978084333240986,
-0.04298614710569382,
-0.02206622250378132,
0.04226015880703926,
0.00843961350619793,
-0.009203811176121235,
-0.02722455933690071,
0.035153113305568695,
-0.018015971407294273,
0.016095923259854317,
0.07225493341684341,
-0.024225082248449326,
-0.026211997494101524,
0.07737506181001663,
-0.00906052440404892,
0.005545212887227535,
-0.007837807759642601,
0.005669394973665476,
-0.05830831825733185,
-0.01842672750353813,
-0.0005880743847228587,
0.02244831994175911,
-0.0335674025118351,
0.024607179686427116,
-0.0010471902787685394,
0.04802985489368439,
0.017624320462346077,
0.026403045281767845,
0.0036299412604421377,
0.010832509025931358,
0.0009934576228260994,
-0.06854857504367828,
0.007097490131855011,
0.009074852801859379,
0.016678623855113983,
-0.02947894297540188,
-0.02313609980046749,
-0.01859867200255394,
-0.06358128786087036,
-0.03650956600904465,
-0.02388119138777256,
0.061441533267498016,
-0.020977240055799484,
-0.020232146605849266,
-0.04256583750247955,
0.017442822456359863,
-0.02710993029177189,
-0.06021881476044655,
0.042298369109630585,
0.016076818108558655,
0.05731486156582832,
-0.03603194281458855,
0.008477822877466679,
-0.009925023652613163,
0.0795530304312706,
-0.06044807285070419,
0.011147740297019482,
-0.032210953533649445,
0.044285282492637634,
0.07848314940929413,
-0.010928033851087093,
-0.013574069365859032,
0.06541536003351212,
0.05758232995867729,
-0.010202045552432537,
0.012485086917877197,
-0.032573945820331573,
0.026211997494101524,
-0.0004686684114858508,
-0.07741327583789825,
0.024779124185442924,
-0.04271867498755455,
0.029937462881207466,
0.05192726477980614,
0.01103311125189066,
-0.03704450652003288,
0.017719844356179237,
-0.05716202035546303,
0.01513112336397171,
-0.049711089581251144,
-0.016583099961280823,
0.020117515698075294,
0.02206622250378132,
0.009218140505254269,
0.044094234704971313,
0.005459240637719631,
-0.006084927823394537,
0.013048683293163776,
0.019850047305226326,
-0.057276651263237,
-0.03129391372203827,
-0.021244708448648453,
-0.05402880907058716,
-0.03159959241747856,
0.01921958290040493,
-0.014491107314825058,
-0.05796442925930023,
0.0009892784291878343,
-0.01907629705965519,
-0.021149184554815292,
-0.01780581660568714,
0.009127391502261162,
-0.007713625207543373,
0.018178364261984825,
-0.05987492576241493,
0.02244831994175911,
0.00809094775468111,
0.03064434602856636,
-0.02940252423286438,
-0.013105998747050762,
0.02777860313653946,
-0.05349387228488922,
-0.007135700434446335,
0.013297047466039658,
-0.004924301989376545,
-0.042489416897296906,
0.025466904044151306,
-0.04860300198197365,
0.08276265859603882,
-0.038592007011175156,
0.02189427614212036,
0.010526829399168491,
-0.012179408222436905,
-0.030873605981469154,
-0.013067788444459438,
0.018856588751077652,
0.05395238846540451,
-0.047724176198244095,
-0.0021755765192210674,
0.005038931500166655,
0.04994034767150879,
0.029555363580584526,
0.057620540261268616,
-0.01085161417722702,
-0.033720243722200394,
-0.042871516197919846,
0.020518720149993896,
0.003047240199521184,
-0.04879405349493027,
0.04936720058321953,
-0.06992413103580475,
0.002167218131944537,
0.022047117352485657,
0.0496346689760685,
0.025180328637361526,
0.030376875773072243,
-0.03351008892059326,
-0.03989114239811897,
0.021091869100928307,
-0.027281874790787697,
0.00882171280682087,
-0.023059679195284843,
0.0024406579323112965,
-0.046004727482795715,
0.0140803512185812,
0.029154159128665924,
0.034694597125053406,
0.01512157078832388,
-0.0386684276163578,
-0.005645514000207186,
-0.019496604800224304,
0.03708271682262421,
0.012494639493525028,
0.010192492976784706,
-0.007422274444252253,
-0.004451454151421785,
-0.011816414073109627,
-0.011119083501398563,
0.08138710260391235,
-0.014882759191095829,
-0.00532550597563386,
0.009619344025850296,
0.005917759612202644,
0.07110863924026489,
0.00613746652379632,
-0.0014734695432707667,
0.013478544540703297,
0.07435648143291473,
0.0061756763607263565,
-0.008578124456107616,
-0.04871763288974762,
-0.049711089581251144,
0.00927545502781868,
-0.011310132220387459,
-0.05001676827669144,
-0.014185428619384766,
-0.011806861497461796,
-0.049061521887779236,
0.029918357729911804,
-0.04355929419398308,
-0.0038711412344127893,
-0.031351231038570404,
-0.006806139834225178,
-0.020060202106833458,
-0.013115550391376019,
0.003197691636160016,
-0.054105229675769806,
-0.06289350986480713,
0.041916269809007645,
-0.052462201565504074,
-0.04887047037482262,
0.009232468903064728,
0.030854500830173492,
-0.039432626217603683,
-0.02084350399672985,
0.023957611992955208,
-0.037254661321640015,
0.0358026847243309,
0.058270107954740524,
-0.028007863089442253,
-0.062167517840862274,
0.004518321715295315,
0.04627219960093498,
-0.0679372176527977,
0.0019606458954513073,
0.0037087490782141685,
0.03927978500723839,
0.037159133702516556,
-0.04138132929801941,
0.024110451340675354,
0.05272967368364334,
0.017796264961361885,
-0.0037971094716340303,
-0.03331904113292694,
-0.013354362919926643,
-0.016239210963249207,
-0.045813679695129395,
0.03765586391091347,
-0.02369014360010624,
0.0020131845958530903,
-0.02464538998901844,
-0.0032239609863609076,
0.015140675939619541,
0.0005182218737900257,
-0.007269435096532106,
-0.0437503457069397,
-0.012599716894328594,
0.04493485018610954,
-0.011243265122175217,
-0.008668872527778149,
0.0050484840758144855,
-0.019945571199059486,
-0.048297323286533356,
0.006065822672098875,
-0.014901864342391491,
0.0716053694486618,
0.029192369431257248,
0.002567228162661195,
-0.015885768458247185,
0.009695763699710369,
0.00849692802876234,
-0.004136222414672375,
0.015178886242210865,
0.0033553075045347214,
-0.036394938826560974,
0.004324883688241243,
-0.006533894222229719,
0.028714746236801147,
-0.08604871481657028,
0.004592353478074074,
0.025275854393839836,
0.011558497324585915,
0.03232558071613312,
0.031828854233026505,
0.03007119707763195,
0.0016191448085010052,
-0.005038931500166655,
-0.002500360831618309,
-0.040005773305892944,
0.02416776679456234,
0.01969720795750618,
-0.01859867200255394,
0.04008219391107559,
0.05078096687793732,
-0.01332570519298315,
0.006954203359782696,
-0.02806517668068409,
0.010450409725308418,
0.02663230523467064,
-0.029708202928304672,
-0.03752212971448898,
0.02111097425222397,
0.011587154120206833,
-0.01532217301428318,
0.01579979620873928,
-0.013383019715547562,
-0.019047638401389122,
-0.017289983108639717,
0.03587910160422325,
-0.0029684321489185095,
0.0334145650267601,
-0.004587577190250158,
-0.03568805381655693,
0.05230936408042908,
-0.04860300198197365,
-0.005530884023755789,
-0.023900296539068222,
-0.001406602212227881,
-0.019085848703980446,
0.00768496748059988,
0.00804318580776453,
-0.036280307918787,
-0.05899609625339508,
-0.030376875773072243,
0.011959700845181942,
-0.01165402214974165,
-0.00002231398866570089,
-0.04329182580113411,
0.005483121611177921,
0.009829498827457428,
-0.050093188881874084,
-0.023155203089118004,
-0.011854623444378376,
0.028007863089442253,
0.029440734535455704,
0.013526307418942451,
0.0022902062628418207,
-0.006266424898058176,
0.0037636759225279093,
-0.01704161800444126,
0.023288939148187637,
-0.007097490131855011,
0.056092143058776855,
0.030606135725975037,
-0.01270479429513216,
0.020423196256160736,
-0.014042140915989876,
0.07473857700824738,
0.0008937536040320992,
0.0061756763607263565,
0.01246598269790411,
-0.020786190405488014,
-0.006552999373525381,
-0.04130490869283676,
-0.02691888064146042,
0.020232146605849266,
-0.005549989175051451,
-0.014309610240161419,
0.04417065158486366,
-0.006170900072902441,
-0.016907883808016777,
-0.010058757849037647,
0.04929077997803688,
0.01128147542476654,
0.02055693045258522,
0.042680468410253525,
-0.03175243362784386,
0.01756700500845909,
0.023518197238445282,
0.038572899997234344,
0.03970009461045265,
-0.001121819019317627,
-0.0001741834421409294,
0.013344810344278812,
0.005010274238884449,
0.011338789947330952,
0.012838529422879219,
-0.03777049481868744,
0.015255305916070938,
0.039738304913043976,
-0.02865743078291416,
0.05074275657534599,
0.04092280939221382,
0.019238688051700592,
0.014214085415005684,
0.0018639269983395934,
-0.003360083792358637,
0.041534170508384705,
-0.0031141075305640697,
0.047724176198244095,
-0.030491506680846214,
-0.004090848378837109,
0.041916269809007645,
0.027855021879076958,
-0.0061326902359724045,
0.005917759612202644,
-0.00362755311653018,
0.0027200677432119846,
-0.016029056161642075,
-0.01766252890229225,
-0.038496483117341995,
0.01250419206917286,
-0.010584144853055477,
0.0108993761241436,
0.016487576067447662,
0.056474242359399796,
0.012236722745001316,
-0.024110451340675354,
0.012332247570157051,
0.010421751998364925,
0.02284952439367771,
0.0024764796253293753,
0.0494818314909935,
-0.04046429321169853,
-0.014491107314825058,
0.04955824837088585,
0.04187805950641632,
0.021072763949632645,
0.022505635395646095,
-0.00332903815433383,
0.03652867302298546,
0.006390606984496117,
-0.022391006350517273,
0.01699385605752468,
0.016793254762887955,
-0.008430060930550098,
0.004183984827250242,
0.011625364422798157,
0.015771139413118362,
0.0386684276163578,
-0.024186871945858,
0.01807328686118126,
-0.04340645670890808,
0.026383941993117332,
0.012332247570157051,
-0.019200477749109268,
0.02770218253135681,
-0.002016766695305705,
-0.06679091602563858,
-0.038954999297857285,
0.007030623033642769,
0.03614657372236252,
-0.04929077997803688,
0.01842672750353813,
0.03509579971432686,
-0.017337745055556297,
-0.035439688712358475,
-0.007756611332297325,
-0.04245120659470558,
0.005955969449132681,
0.01907629705965519,
0.003584566991776228,
-0.014462449587881565,
0.02930699847638607,
-0.00963367335498333,
0.0010256972163915634,
-0.030090302228927612,
-0.010030101053416729,
-0.03908873721957207,
0.02168412320315838,
0.0026699171867221594,
0.03310888633131981,
-0.017060723155736923,
-0.023002363741397858,
0.012045673094689846,
0.025657953694462776,
-0.03717824071645737,
0.01070832647383213,
-0.00632851617410779,
0.01070832647383213,
0.014987836591899395,
-0.046959977596998215,
0.039356205612421036,
0.01113818772137165,
-0.03247842192649841,
-0.024855544790625572,
0.003799497615545988,
-0.00482877716422081,
0.016296526417136192,
0.04940541088581085,
0.0324593149125576,
0.03970009461045265,
0.017844026908278465,
-0.0012209259439259768,
0.030606135725975037,
-0.026594094932079315,
0.010498171672224998,
-0.011921491473913193,
0.049328990280628204,
-0.021550387144088745,
-0.011014006100594997,
-0.031905271112918854,
0.009270679205656052,
0.012112541124224663,
-0.019085848703980446,
0.011348342522978783,
0.007455707993358374,
0.026288416236639023,
-0.026231100782752037,
-0.03927978500723839,
0.0033529193606227636,
0.031542278826236725,
-0.022906839847564697,
0.024511655792593956,
0.04730386659502983,
0.010354884900152683,
-0.020786190405488014,
0.014347820542752743,
-0.0003513520350679755,
0.003973830491304398,
-0.011491629295051098,
0.02187517285346985,
0.03377755731344223,
-0.013144208118319511,
0.026211997494101524,
-0.0025266301818192005,
0.012294038198888302,
0.03805706650018692,
-0.022906839847564697,
0.020041096955537796,
-0.010536381974816322,
-0.046577878296375275,
0.01350720226764679,
-0.020117515698075294,
-0.010794298723340034,
-0.024492550641298294,
0.002296176739037037,
0.02216174639761448,
-0.012179408222436905,
-0.03650956600904465,
0.009595463052392006,
-0.0019498993642628193,
-0.01611502841114998,
-0.010402647778391838,
0.03901231661438942,
0.006887335795909166,
0.0025505113881081343,
0.00988681335002184,
0.015475012362003326,
0.08933476358652115,
-0.042871516197919846,
0.01109042577445507,
0.04187805950641632,
0.03282231092453003,
0.009953681379556656,
-0.03119838982820511,
-0.013583621941506863,
0.01270479429513216,
-0.01165402214974165,
0.011615811847150326,
0.01346899289637804,
-0.007126147858798504,
-0.02111097425222397,
-0.009576357901096344,
-0.029326103627681732,
-0.043444663286209106,
0.032573945820331573,
-0.023709246888756752,
-0.022219061851501465,
0.029631784185767174,
-0.024282395839691162,
0.04760954529047012,
0.035458795726299286,
-0.01979273185133934,
0.012876738794147968,
-0.024282395839691162,
-0.015637405216693878,
0.05597751587629318,
-0.0030281352810561657,
-0.00473802862688899,
-0.010221150703728199,
0.039623674005270004,
-0.031905271112918854,
-0.040961019694805145,
-0.034293390810489655,
-0.003539192723110318,
-0.02732008323073387,
0.0067822583951056,
-0.017672082409262657,
-0.004573248326778412,
0.02500838413834572,
0.0533028207719326,
-0.025657953694462776,
-0.08184561878442764,
-0.0015427250182256103,
-0.024607179686427116,
-0.005444911774247885,
0.011061768047511578,
0.007837807759642601,
-0.03551610931754112,
0.00287768361158669,
-0.09995711594820023,
-0.03855379670858383,
0.048297323286533356,
0.023097889497876167,
0.05165979638695717,
-0.013994378969073296,
-0.011768651194870472,
0.038859475404024124,
0.009361427277326584,
0.05498405545949936,
-0.02323162369430065,
0.013029578141868114,
-0.010937586426734924,
-0.01952526345849037,
0.02777860313653946,
0.03375845402479172,
0.016984304413199425,
0.008277221582829952,
-0.007374512031674385,
-0.024530760943889618,
-0.04546979069709778,
-0.009542924351990223,
-0.032936941832304,
-0.037254661321640015,
-0.0075798905454576015,
-0.008539914153516293,
0.010383542627096176,
0.024683600291609764,
0.0533028207719326,
0.034694597125053406,
-0.0003456802514847368,
0.008793055079877377,
0.02246742509305477,
0.03884037211537361,
-0.013765119016170502,
-0.022391006350517273,
0.05158337578177452,
0.003539192723110318,
0.020404091104865074,
-0.006285529583692551,
0.02596363238990307,
-0.00697330804541707,
0.028141597285866737,
0.012198513373732567,
-0.0031379887368530035,
-0.01597174070775509,
-0.054105229675769806,
0.013717357069253922,
0.015255305916070938,
0.03119838982820511,
0.020060202106833458,
0.017968209460377693,
-0.00809094775468111,
-0.024492550641298294,
-0.01592397876083851,
-0.009222916327416897,
0.03666240721940994,
0.02732008323073387,
0.03662419691681862,
0.04233657941222191,
0.024855544790625572,
0.009719645604491234,
-0.02462628483772278,
-0.021836962550878525,
-0.0165448896586895,
-0.03843916580080986,
-0.002037065802142024,
0.07045906782150269,
0.011396105401217937,
-0.022391006350517273,
0.026231100782752037,
0.0001640339323785156,
-0.017987314611673355,
0.022008907049894333,
-0.0004253837396390736,
-0.011797308921813965,
0.008205577731132507,
-0.034216973930597305,
0.012838529422879219,
-0.04722744598984718,
0.04336824640631676,
-0.004788178950548172,
-0.004069355316460133,
-0.017605215311050415,
0.015102465637028217,
-0.05177442356944084,
-0.03654777631163597,
0.008009752258658409,
-0.008028856478631496,
-0.02787412703037262,
0.01823567785322666,
-0.040387872606515884,
0.00575536722317338,
-0.01988825760781765,
0.04218373820185661,
-0.040961019694805145,
0.017719844356179237,
-0.0020430360455065966,
-0.02959357388317585,
0.02445434033870697,
-0.024779124185442924,
0.00907007697969675,
-0.0157520342618227,
0.02036588080227375,
0.019811837002635002,
-0.010803851298987865,
0.014997389167547226,
0.04256583750247955,
0.028982214629650116,
-0.00673449644818902,
0.038400955498218536,
-0.03685345500707626,
0.0049290782772004604,
0.017175354063510895,
-0.04111386090517044,
-0.00547356903553009,
0.017032066360116005,
0.02550511248409748,
-0.02361372299492359,
-0.029517153277993202,
0.01592397876083851,
-0.06640882045030594,
0.024091346189379692,
0.01293405331671238,
0.027186349034309387,
0.04145774990320206,
-0.00015746660938020796,
0.0009468892822042108,
0.002469315193593502,
0.014643946662545204,
-0.012962711043655872,
-0.032956045120954514,
-0.01945839636027813,
-0.013841538690030575,
0.019907362759113312,
0.04141953960061073,
0.011931044049561024,
-0.005674171261489391,
-0.024779124185442924,
-0.00358217884786427,
-0.02170322835445404,
-0.01685056835412979,
-0.06243498995900154,
-0.036299411207437515,
-0.00017672081594355404,
0.005908207036554813,
0.009662330150604248,
-0.023384463042020798,
0.027358293533325195,
-0.011768651194870472,
0.024912860244512558,
0.0008280803449451923,
0.010593696497380733,
-0.009280230849981308,
-0.015054703690111637,
-0.01837896555662155,
0.026766039431095123,
-0.0513923242688179,
-0.020881714299321175,
0.013297047466039658,
-0.005626408848911524,
-0.04825911298394203,
0.0306252408772707,
-0.01818791590631008,
-0.03100734017789364,
0.015026045963168144,
0.002038259757682681,
0.01412811316549778,
-0.012838529422879219,
-0.037254661321640015,
-0.007622876670211554,
0.005263414699584246,
0.003252618480473757,
-0.00828199740499258,
0.013908406719565392,
0.03282231092453003,
-0.037617653608322144,
-0.022792210802435875,
0.008883803151547909,
0.04080818220973015,
0.0051535614766180515,
-0.013010473921895027,
0.04298614710569382,
-0.038572899997234344,
-0.04459096118807793,
-0.01592397876083851,
0.05074275657534599,
0.008191249333322048,
-0.04627219960093498,
-0.003656210610643029,
0.029268790036439896,
0.024912860244512558,
0.015580089762806892,
0.005559541750699282,
0.003188139060512185,
-0.01275255624204874,
0.04420886188745499,
-0.02158859744668007,
0.006920769345015287,
-0.018684644252061844
] |
Two types of explanations have been receiving increased attention in the
literature when analyzing the decisions made by classifiers. The first type
explains why a decision was made and is known as a sufficient reason for the
decision, also an abductive explanation or a PI-explanation. The second type
explains why some other decision was not made and is known as a necessary
reason for the decision, also a contrastive or counterfactual explanation.
These explanations were defined for classifiers with binary, discrete and, in
some cases, continuous features. We show that these explanations can be
significantly improved in the presence of non-binary features, leading to a new
class of explanations that relay more information about decisions and the
underlying classifiers. Necessary and sufficient reasons were also shown to be
the prime implicates and implicants of the complete reason for a decision,
which can be obtained using a quantification operator. We show that our
improved notions of necessary and sufficient reasons are also prime implicates
and implicants but for an improved notion of complete reason obtained by a new
quantification operator that we also define and study. | [
-0.005945784505456686,
-0.013815204612910748,
-0.031643353402614594,
-0.0022193146869540215,
0.07944893091917038,
0.033097587525844574,
-0.00018379239190835506,
-0.016042573377490044,
-0.005807724315673113,
0.020635370165109634,
0.022807514294981956,
-0.023083632811903954,
0.028587626293301582,
-0.0313856415450573,
-0.03197469934821129,
0.007215936668217182,
0.018039841204881668,
0.012057241052389145,
-0.03175380080938339,
-0.03352097049355507,
-0.08128973096609116,
0.022862737998366356,
-0.025218961760401726,
-0.0008427412831224501,
0.036116499453783035,
0.041675716638565063,
-0.00008822897507343441,
-0.036061275750398636,
-0.12303908169269562,
0.057212069630622864,
0.007436832413077354,
-0.005361330229789019,
-0.024556273594498634,
-0.03243489935994148,
-0.07341110706329346,
-0.019862232729792595,
0.027575185522437096,
-0.028274690732359886,
0.01204803679138422,
0.08990468084812164,
0.029968226328492165,
-0.021169200539588928,
0.027575185522437096,
0.013410229235887527,
-0.02939757890999317,
0.029250314459204674,
-0.034625452011823654,
-0.011155248619616032,
-0.047161299735307693,
-0.06755736470222473,
-0.01358510460704565,
-0.023028409108519554,
0.04178616404533386,
0.014330629259347916,
0.010842313058674335,
0.011192064732313156,
-0.026894090697169304,
-0.046351347118616104,
0.007128498516976833,
0.0155087411403656,
-0.009516936726868153,
0.00853210873901844,
-0.08938925713300705,
0.023543832823634148,
-0.05069563537836075,
-0.04513641819357872,
0.04377422854304314,
-0.03168017044663429,
-0.014606748707592487,
-0.042338401079177856,
-0.04432646557688713,
0.007110090460628271,
0.0044685425236821175,
0.0039047973696142435,
-0.03398117050528526,
0.005904366262257099,
0.03260057047009468,
0.027519961819052696,
-0.028440361842513084,
-0.010676641017198563,
0.006208098493516445,
0.03825182840228081,
0.009360468946397305,
0.0066590942442417145,
0.028440361842513084,
-0.010676641017198563,
0.011109229177236557,
-0.06129864603281021,
0.029765738174319267,
-0.041565265506505966,
-0.02796175330877304,
-0.004735458176583052,
0.003021213226020336,
-0.02010153792798519,
0.058758340775966644,
0.03650306537747383,
0.05912650004029274,
0.002496585249900818,
-0.057948388159275055,
-0.024353785440325737,
0.01288560125976801,
0.029968226328492165,
-0.009581364691257477,
0.021426914259791374,
0.04046078771352768,
-0.0313120111823082,
-0.02501647360622883,
-0.009912708774209023,
-0.017413970082998276,
0.1166330948472023,
-0.054119523614645004,
0.048597123473882675,
-0.04340606555342674,
-0.040939394384622574,
-0.0009744735434651375,
-0.05040110647678375,
-0.04211750626564026,
-0.07094443589448929,
0.016539588570594788,
-0.022034376859664917,
0.007271160371601582,
0.09071463346481323,
0.06792552769184113,
0.0013173226034268737,
-0.059421028941869736,
0.03423888236284256,
0.0233965702354908,
0.043884675949811935,
-0.022163232788443565,
0.0015324661508202553,
0.02575279399752617,
0.02647070586681366,
0.018435614183545113,
-0.04528368264436722,
-0.0016521181678399444,
0.012084852904081345,
0.060893669724464417,
0.020672185346484184,
-0.010234848596155643,
0.015389089472591877,
-0.04889165237545967,
-0.05533445253968239,
0.02010153792798519,
0.014836848713457584,
0.04454736411571503,
-0.04749264195561409,
0.009452508762478828,
0.045541394501924515,
-0.005365932360291481,
0.03493838757276535,
-0.012959232553839684,
0.04797125235199928,
0.05316230654716492,
-0.030612505972385406,
0.06593745946884155,
0.04962797090411186,
-0.012011220678687096,
-0.03587719425559044,
0.004392609465867281,
-0.0007138852961361408,
0.04822896420955658,
-0.0059826006181538105,
-0.016788097098469734,
0.05150558799505234,
-0.004818294197320938,
-0.0007938450435176492,
-0.0699135884642601,
0.01318933255970478,
-0.03832545876502991,
0.03272942453622818,
0.019899049773812294,
0.026286626234650612,
-0.01794780045747757,
0.0194388497620821,
0.015389089472591877,
-0.013216945342719555,
0.03714734688401222,
0.02477717027068138,
0.0055730221793055534,
0.013898041099309921,
-0.02483239397406578,
-0.02556871436536312,
0.001474941149353981,
-0.0035550452303141356,
0.06129864603281021,
-0.03401798754930496,
0.07878624647855759,
-0.011403757147490978,
0.010317685082554817,
0.001092975027859211,
0.0012528946390375495,
0.00505759846419096,
0.04038715362548828,
0.041712529957294464,
0.03799411281943321,
-0.012609480880200863,
-0.0465354286134243,
-0.033115994185209274,
-0.03839908912777901,
-0.0026369462721049786,
-0.00562824634835124,
-0.04108665883541107,
0.003051126142963767,
0.02967369742691517,
0.02965529076755047,
-0.012683113105595112,
0.016962973400950432,
-0.001942044124007225,
0.0195492971688509,
-0.027391105890274048,
0.006470412481576204,
0.002489682286977768,
-0.02866125851869583,
-0.0542667880654335,
-0.030704546719789505,
0.01791098527610302,
0.00721133453771472,
-0.005315310321748257,
0.021169200539588928,
-0.010032360441982746,
0.04377422854304314,
0.023046817630529404,
0.04440009966492653,
-0.009231613017618656,
0.03423888236284256,
0.015895308926701546,
-0.01777292601764202,
-0.010455744341015816,
-0.014551525004208088,
-0.01248982921242714,
0.009245418943464756,
0.01872093789279461,
0.005950386635959148,
-0.03184584155678749,
-0.00822377484291792,
-0.015251029282808304,
0.03567470610141754,
-0.046829953789711,
-0.0012551955878734589,
-0.042412035167217255,
-0.005895162466913462,
-0.0156744122505188,
0.0009088950464501977,
0.0029107651207596064,
0.02956325002014637,
-0.024703538045287132,
0.018361981958150864,
0.05073245242238045,
-0.004694040399044752,
-0.03330007568001747,
-0.035361770540475845,
-0.0040451581589877605,
-0.011293308809399605,
-0.004498455207794905,
-0.02575279399752617,
0.01951248198747635,
0.04189661145210266,
-0.022752288728952408,
-0.04598318785429001,
-0.05651256442070007,
0.05128469318151474,
0.004753866232931614,
0.044768258929252625,
0.05537126958370209,
-0.022862737998366356,
-0.007855614647269249,
0.01643834449350834,
-0.007993674837052822,
-0.0061528743244707584,
0.010179624892771244,
0.06369168311357498,
-0.02343338541686535,
-0.015251029282808304,
0.009627385064959526,
0.008048898540437222,
-0.06144590675830841,
0.0466826930642128,
-0.00738621037453413,
0.022733882069587708,
0.020690593868494034,
-0.02948961779475212,
0.023654282093048096,
-0.0390985943377018,
-0.06891955435276031,
0.020616961643099785,
-0.038362275809049606,
-0.04804488271474838,
0.05853744223713875,
-0.08718029409646988,
-0.046977218240499496,
0.0193836260586977,
0.019788600504398346,
-0.05305185914039612,
-0.001403610105626285,
0.006424392573535442,
0.011771916411817074,
0.007427628617733717,
0.026765234768390656,
0.07484693080186844,
-0.024409009143710136,
-0.03828864172101021,
-0.003511326154693961,
0.04263292998075485,
0.06122501194477081,
0.029765738174319267,
0.02884533815085888,
0.024740353226661682,
0.05886878818273544,
-0.08916835486888885,
0.01083310879766941,
-0.023525426164269447,
0.03736824169754982,
0.019181137904524803,
-0.0007213635253719985,
-0.03024434670805931,
0.008757606148719788,
0.04808169975876808,
-0.12156643718481064,
0.011219676584005356,
-0.04197024181485176,
0.050953347235918045,
-0.023672688752412796,
-0.07061309367418289,
0.009811464697122574,
-0.018113473430275917,
-0.011431368999183178,
-0.016005756333470345,
0.00847688503563404,
0.02168462611734867,
-0.024593088775873184,
-0.020801041275262833,
-0.007648524362593889,
-0.023691097274422646,
-0.016162225976586342,
-0.05143195390701294,
-0.011118432506918907,
-0.01355749275535345,
0.020469697192311287,
-0.03201151266694069,
-0.06037824600934982,
0.01857367344200611,
-0.045578211545944214,
-0.03484634682536125,
-0.011817936785519123,
-0.015389089472591877,
-0.03315281122922897,
-0.02960006520152092,
-0.008274396881461143,
0.013032864779233932,
0.017634864896535873,
0.0011435970664024353,
-0.006622278597205877,
-0.060230981558561325,
0.0022446257062256336,
0.019089097157120705,
-0.051800116896629333,
-0.05360409989953041,
-0.00320299225859344,
0.043185170739889145,
0.007809594739228487,
0.000343711901223287,
0.004910334479063749,
-0.04995931684970856,
0.007749768439680338,
-0.10551466047763824,
0.00360566726885736,
-0.021353282034397125,
0.08268874138593674,
0.004185519181191921,
-0.016116205602884293,
-0.03440455347299576,
0.08821114152669907,
0.023672688752412796,
0.020709000527858734,
-0.011063208803534508,
0.010179624892771244,
0.05503992363810539,
-0.022770697250962257,
0.010354500263929367,
0.03584037721157074,
-0.03589560091495514,
0.018371185287833214,
-0.00930984690785408,
-0.009526140987873077,
-0.05378818139433861,
-0.04995931684970856,
-0.002837133128196001,
0.027446329593658447,
-0.04097621142864227,
0.012038832530379295,
-0.024335376918315887,
0.0008542463183403015,
-0.03641102835536003,
-0.07396335154771805,
0.07650365680456161,
0.019622929394245148,
-0.029379170387983322,
-0.03642943501472473,
0.04119710624217987,
0.016861729323863983,
0.006465810351073742,
0.011054004542529583,
-0.057138435542583466,
0.005770908202975988,
-0.002004171023145318,
-0.010400520637631416,
-0.02098512090742588,
0.015812473371624947,
0.05235235393047333,
0.030594097450375557,
0.00812253076583147,
0.02177666500210762,
-0.011808732524514198,
0.029728921130299568,
-0.022678658366203308,
0.03987172991037369,
-0.024004032835364342,
0.027685634791851044,
0.03480952978134155,
-0.057101618498563766,
-0.04263292998075485,
0.01855526491999626,
0.023599058389663696,
-0.030023450031876564,
0.02882692962884903,
0.023599058389663696,
0.03979809954762459,
0.02950802631676197,
0.06122501194477081,
-0.016014961525797844,
-0.007611708715558052,
0.06391257792711258,
0.0022423246409744024,
-0.028348321095108986,
-0.009958729147911072,
-0.039356306195259094,
-0.09557434171438217,
-0.01238858513534069,
-0.02111397683620453,
0.009061338379979134,
0.020580144599080086,
0.05809565261006355,
-0.00850449688732624,
0.015094561502337456,
-0.030667729675769806,
0.018472429364919662,
-0.0031408651266247034,
-0.02026720903813839,
-0.0272622499614954,
-0.006981234531849623,
-0.06556930392980576,
-0.006221904419362545,
-0.052646882832050323,
-0.018886609002947807,
0.07514145970344543,
0.023672688752412796,
0.010925148613750935,
-0.07352155447006226,
0.03120156191289425,
-0.06321307271718979,
0.008849646896123886,
0.051063794642686844,
-0.006525636650621891,
-0.02260502614080906,
0.04027670621871948,
0.05894241854548454,
-0.07256434112787247,
-0.015490332618355751,
0.016944564878940582,
-0.005006976425647736,
0.02634184993803501,
-0.027722449973225594,
-0.007616310380399227,
-0.004562883172184229,
0.01560998521745205,
0.007708350662142038,
0.022862737998366356,
-0.05364091694355011,
-0.014201773330569267,
0.003005106234923005,
0.07694544643163681,
-0.028127426281571388,
-0.018269941210746765,
0.015922920778393745,
-0.006369168404489756,
-0.0009238515631295741,
0.06472253054380417,
0.051836930215358734,
-0.024501049891114235,
-0.01791098527610302,
-0.008246785029768944,
-0.023654282093048096,
-0.01705501228570938,
0.022071193903684616,
0.024004032835364342,
-0.019089097157120705,
-0.004180917516350746,
-0.050106581300497055,
0.06461208313703537,
0.05662301182746887,
0.010105992667376995,
-0.040792129933834076,
-0.003780543338507414,
-0.010418929159641266,
0.008950890973210335,
0.014965704642236233,
0.015619189478456974,
-0.018343573436141014,
-0.03171698749065399,
-0.029894594103097916,
0.011523408815264702,
-0.029728921130299568,
-0.015481129288673401,
0.00036355803604237735,
0.010317685082554817,
-0.039945363998413086,
-0.00888646300882101,
-0.0045927963219583035,
0.06674741208553314,
0.04568865895271301,
0.03035479411482811,
-0.04830259457230568,
-0.005706480238586664,
0.07462603598833084,
-0.02253139391541481,
0.023875176906585693,
0.011412960477173328,
-0.013548288494348526,
-0.03431251272559166,
-0.007326384540647268,
0.003147768322378397,
0.03287668898701668,
0.012057241052389145,
-0.00931905023753643,
0.015490332618355751,
-0.04127074033021927,
0.052499618381261826,
0.00281412317417562,
-0.02023039385676384,
-0.015922920778393745,
-0.03655828908085823,
0.06380213052034378,
0.021206017583608627,
0.00043431378435343504,
-0.011965201236307621,
0.024335376918315887,
0.009802260436117649,
-0.008081112988293171,
0.013272169046103954,
0.006553248502314091,
0.005665062461048365,
-0.0034445971250534058,
-0.008568924851715565,
-0.011569429188966751,
-0.007611708715558052,
-0.013520676642656326,
0.0020122246351093054,
0.0387304350733757,
0.008610342629253864,
-0.0002523909497540444,
0.009682608768343925,
0.04756627604365349,
0.04874438792467117,
0.020543329417705536,
0.05938421189785004,
0.017662476748228073,
0.05058518797159195,
0.036908041685819626,
-0.026802049949765205,
-0.04101302847266197,
-0.059605106711387634,
0.002182498574256897,
-0.0194572564214468,
0.017303520813584328,
-0.008743800222873688,
0.022365720942616463,
-0.0003365212760400027,
-0.007689942605793476,
-0.008826636709272861,
0.00013561519153881818,
0.00895549263805151,
-0.0272622499614954,
-0.022200049832463264,
0.0009313297923654318,
0.0010216441005468369,
-0.002761200303211808,
-0.0041970242746174335,
-0.004174014087766409,
0.004056663252413273,
0.006921408697962761,
-0.027519961819052696,
0.019991088658571243,
0.0029291731771081686,
-0.019273176789283752,
0.01046494860202074,
0.015361476689577103,
0.027427921071648598,
-0.024004032835364342,
-0.01855526491999626,
-0.030851809307932854,
-0.005918172188103199,
-0.02190552093088627,
0.05827973037958145,
-0.01856447011232376,
0.029802553355693817,
0.010547785088419914,
-0.012462216429412365,
0.000839865067973733,
0.02013835310935974,
-0.015370680950582027,
-0.02249457687139511,
-0.046130452305078506,
0.009507732465863228,
-0.01802143268287182,
0.06365486979484558,
-0.01048335712403059,
0.03114633820950985,
-0.06626880168914795,
-0.010308480821549892,
-0.04410557076334953,
0.061850883066654205,
-0.04841304197907448,
0.03998217731714249,
0.010823904536664486,
0.006318546365946531,
0.04436328262090683,
-0.018113473430275917,
-0.0545244999229908,
-0.005361330229789019,
-0.0012057240819558501,
-0.010851516388356686,
-0.013704757206141949,
-0.0020467396825551987,
0.019586114212870598,
-0.003575754351913929,
0.02249457687139511,
-0.009075144305825233,
-0.0036562893074005842,
0.03407321125268936,
-0.0014162656152620912,
0.0037046102806925774,
-0.004767672158777714,
-0.024261746555566788,
0.05124787613749504,
-0.011955996975302696,
0.015020929276943207,
-0.00028877551085315645,
0.030704546719789505,
0.04443691670894623,
0.015076152980327606,
0.028495585545897484,
0.04340606555342674,
-0.03488316386938095,
0.038693618029356,
0.046351347118616104,
-0.02807220257818699,
0.01128410454839468,
-0.015435108914971352,
0.03429410606622696,
-0.011551020666956902,
-0.0028486382216215134,
0.012637092731893063,
0.02019357681274414,
0.00430747214704752,
-0.025808017700910568,
-0.011486592702567577,
0.015462720766663551,
-0.04138118773698807,
-0.019125914201140404,
0.023065226152539253,
-0.044694628566503525,
-0.020598553121089935,
-0.04767672345042229,
0.019899049773812294,
0.007763574365526438,
-0.014330629259347916,
0.0020766525994986296,
-0.003667794167995453,
0.026249809190630913,
-0.02264184132218361,
-0.04517323523759842,
-0.02254980243742466,
0.01861969381570816,
0.016852525994181633,
-0.026305032894015312,
0.006221904419362545,
0.015352273359894753,
-0.01283958088606596,
-0.023175673559308052,
0.03814137727022171,
0.012140076607465744,
-0.03042842634022236,
-0.004429425112903118,
-0.004526067525148392,
-0.003670095233246684,
-0.025255776941776276,
0.014864460565149784,
0.015260232612490654,
-0.012453013099730015,
0.013456248678267002,
-0.03806774690747261,
0.003819660283625126,
0.011192064732313156,
0.0003851299115922302,
-0.006042426452040672,
-0.023507017642259598,
0.015784861519932747,
0.019181137904524803,
0.004845906514674425,
-0.01477242074906826,
-0.010474152863025665,
0.035343363881111145,
0.0387672521173954,
-0.019954273477196693,
0.022678658366203308,
-0.010897536762058735,
0.043995123356580734,
-0.018205514177680016,
0.0077543705701828,
-0.04509960487484932,
0.04524686560034752,
0.008246785029768944,
0.0024597691372036934,
-0.012167688459157944,
-0.04370059445500374,
0.05665982887148857,
-0.0051772501319646835,
0.00624491460621357,
0.015232620760798454,
0.0016475161537528038,
0.004790682345628738,
0.031551312655210495,
-0.038693618029356,
-0.006042426452040672,
-0.001174085307866335,
-0.019825417548418045,
0.04141800105571747,
0.011440572328865528,
0.02113238535821438,
-0.0271518025547266,
0.03250852972269058,
0.03488316386938095,
-0.04502597078680992,
-0.021960744634270668,
-0.0006040125153958797,
-0.0008732295827940106,
0.014045304618775845,
0.005922774318605661,
-0.0047446624375879765,
0.03331848233938217,
0.041675716638565063,
0.004832100123167038,
0.021997561678290367,
-0.018288349732756615,
-0.010787088423967361,
-0.012572664767503738,
0.03272942453622818,
-0.015886105597019196,
0.023838361725211143,
-0.011615448631346226,
0.027796082198619843,
0.037607546895742416,
0.002735889283940196,
0.011633857153356075,
0.0386199876666069,
0.015103764832019806,
-0.013419432565569878,
0.01942044124007225,
0.02096671424806118,
-0.04138118773698807,
0.01956770569086075,
0.04064486548304558,
0.003138564294204116,
-0.04966478794813156,
-0.005112822167575359,
-0.043111540377140045,
-0.022936370223760605,
0.0009106207871809602,
-0.046240899711847305,
0.041638899594545364,
-0.003725319169461727,
0.020580144599080086,
0.018803773447871208,
-0.007013448514044285,
-0.02796175330877304,
-0.019862232729792595,
0.0008306610397994518,
-0.042338401079177856,
0.005881356541067362,
0.007897032424807549,
-0.01249903254210949,
-0.00644740229472518,
0.02102193795144558,
-0.009498528204858303,
0.07050264626741409,
-0.05290459468960762,
0.0040520611219108105,
-0.0467931404709816,
-0.01951248198747635,
-0.04723493009805679,
0.016723670065402985,
-0.039209041744470596,
0.003907098434865475,
0.032968729734420776,
0.014523913152515888,
0.0027865110896527767,
-0.028550809249281883,
-0.006484218407422304,
-0.041602082550525665,
-0.01705501228570938,
0.02087467350065708,
0.00046278865193016827,
0.022752288728952408,
0.0272622499614954,
0.04417920485138893,
0.0008318115724250674,
0.0038173592183738947,
0.0030764371622353792,
-0.0003244410327170044,
0.04274337738752365,
-0.04451054707169533,
-0.025936873629689217,
0.016475161537528038,
-0.023875176906585693,
-0.06391257792711258,
-0.03175380080938339,
0.010363704524934292,
-0.02102193795144558,
0.023212488740682602,
-0.06744691729545593,
0.005895162466913462,
0.024666721001267433,
0.004070469178259373,
-0.009383478201925755,
-0.02481398545205593,
0.03593241795897484,
-0.021169200539588928,
-0.00021557495347224176,
0.04359014704823494,
0.029820961877703667,
0.018444817513227463,
0.005025384481996298,
0.0037207172717899084,
0.002503488212823868,
0.021574176847934723,
-0.023948809131979942,
-0.014542320743203163,
-0.03442296385765076,
-0.009912708774209023,
-0.02969210594892502,
-0.008076510392129421,
-0.004905732348561287,
0.011118432506918907,
0.009636588394641876,
-0.03591401129961014,
-0.037736400961875916,
0.033705051988363266,
0.009434100240468979,
-0.009369672276079655,
-0.014247792772948742,
0.01861969381570816,
0.0312199704349041,
-0.00564205227419734,
-0.020727409049868584,
0.016125408932566643,
-0.05198419466614723,
-0.0048367022536695,
-0.08475043624639511,
-0.004965558182448149,
-0.07643002271652222,
0.02801697701215744,
-0.04403194040060043,
0.005729490425437689,
0.012158485129475594,
0.0006856980617158115,
0.021408505737781525,
-0.01857367344200611,
-0.010262460447847843,
0.0541563406586647,
0.027630409225821495,
-0.0007179120439104736,
0.014698789454996586,
0.0023907392751425505,
-0.018822181969881058,
-0.0016716766403988004,
-0.032416488975286484,
0.017423173412680626,
-0.05202101171016693,
-0.020543329417705536,
-0.024519458413124084,
-0.0015899911522865295,
0.0008766810642555356,
-0.005227872170507908,
-0.008062704466283321,
0.02094830572605133,
-0.014183364808559418,
-0.003953118342906237,
0.023488609120249748,
0.02017517015337944,
-0.023010002449154854,
0.012176892720162868,
0.00016480914200656116,
-0.015490332618355751,
-0.005646654404699802,
0.02266024984419346,
-0.008357232436537743,
0.018150288611650467,
-0.03580356389284134,
-0.007841808721423149,
0.010658232495188713,
-0.03480952978134155,
-0.016926156356930733,
-0.010428132489323616,
-0.018334370106458664,
0.01514058094471693,
-0.027796082198619843,
-0.04911254718899727,
-0.02087467350065708,
0.01202042493969202,
-0.026710009202361107,
0.019273176789283752,
0.005531604401767254,
-0.029876185581088066,
0.016622425988316536,
0.0010613363701850176,
-0.034699082374572754,
-0.01323535293340683,
0.013806001283228397,
0.021187609061598778,
-0.0195492971688509,
-0.013594308868050575,
0.0028417352586984634,
-0.013796797022223473,
0.03175380080938339,
-0.0061804866418242455,
0.0050207823514938354,
0.0012793560745194554,
0.028974194079637527,
-0.025090105831623077,
-0.04053441807627678,
0.012130873277783394,
0.04097621142864227,
0.011799529194831848,
-0.04432646557688713,
0.003145467257127166,
-0.0007345943013206124,
-0.00464111752808094,
-0.0016900845803320408,
-0.012038832530379295,
0.03420206531882286,
-0.008647158741950989,
-0.026728417724370956,
-0.03243489935994148,
-0.01049256045371294,
-0.019586114212870598,
0.002655354095622897,
-0.026765234768390656,
-0.007381608709692955,
0.023083632811903954,
0.036061275750398636,
-0.005122026428580284,
-0.02398562617599964,
-0.043111540377140045,
-0.010234848596155643,
-0.01854606159031391,
-0.022973185405135155,
0.04274337738752365,
-0.0467931404709816,
-0.055555347353219986,
-0.030207529664039612,
0.016705261543393135,
0.0029383772052824497,
0.007933848537504673,
0.06604790687561035,
0.0070870802737772465,
-0.03399957716464996,
0.03442296385765076,
-0.02168462611734867,
-0.01286719273775816,
0.04325880482792854,
0.0016774290706962347,
0.037810035049915314,
0.0037575331516563892,
-0.016107000410556793,
-0.03420206531882286,
-0.013925652951002121,
0.027759265154600143,
0.0039186030626297,
0.004523766227066517,
-0.01006917655467987,
0.008255988359451294,
-0.012959232553839684,
-0.03041001781821251,
0.04528368264436722,
-0.009793057106435299,
0.03414684161543846,
0.012977641075849533,
0.01326296478509903,
0.03561948239803314,
-0.009079746901988983,
-0.030980665236711502,
-0.001378299086354673,
0.014551525004208088,
-0.006981234531849623,
-0.006217302288860083,
-0.006470412481576204,
0.030722953379154205,
-0.017294317483901978,
-0.03046524152159691,
0.0703185647726059,
-0.0056052361615002155,
0.011873160488903522,
-0.0011884665582329035,
0.09984499961137772,
-0.04178616404533386,
-0.014910480938851833,
-0.037810035049915314,
-0.020009497180581093,
0.004176315385848284,
-0.03182743489742279,
-0.015361476689577103,
-0.058022018522024155,
-0.030152305960655212,
-0.004463940393179655
] |
Feature selection is one of the most relevant processes in any methodology
for creating a statistical learning model. Usually, existing algorithms
establish some criterion to select the most influential variables, discarding
those that do not contribute to the model with any relevant information. This
methodology makes sense in a static situation where the joint distribution of
the data does not vary over time. However, when dealing with real data, it is
common to encounter the problem of the dataset shift and, specifically, changes
in the relationships between variables (concept shift). In this case, the
influence of a variable cannot be the only indicator of its quality as a
regressor of the model, since the relationship learned in the training phase
may not correspond to the current situation. In tackling this problem, our
approach establishes a direct relationship between the Shapley values and
prediction errors, operating at a more local level to effectively detect the
individual biases introduced by each variable. The proposed methodology is
evaluated through various examples, including synthetic scenarios mimicking
sudden and incremental shift situations, as well as two real-world cases
characterized by concept shifts. Additionally, we perform three analyses of
standard situations to assess the algorithm's robustness in the absence of
shifts. The results demonstrate that our proposed algorithm significantly
outperforms state-of-the-art feature selection methods in concept shift
scenarios, while matching the performance of existing methodologies in static
situations. | [
-0.03640954568982124,
-0.027531448751688004,
-0.029587429016828537,
0.005396948661655188,
0.013130239211022854,
0.002439140575006604,
-0.01788702979683876,
0.0032288238871842623,
0.0015209582634270191,
0.022914838045835495,
-0.02343817800283432,
-0.0018036556430161,
0.01110229454934597,
-0.016148792579770088,
0.01107425894588232,
0.06833331286907196,
0.04354940354824066,
-0.03973649442195892,
0.008256630972027779,
-0.057081494480371475,
-0.018672041594982147,
-0.017587978392839432,
-0.010429427959024906,
0.05124998465180397,
-0.01072848029434681,
0.03411058709025383,
0.02263447642326355,
-0.027606211602687836,
-0.049979016184806824,
0.03214805945754051,
0.03046589344739914,
0.032783541828393936,
-0.02485867403447628,
-0.02984909899532795,
-0.06339896470308304,
0.00003068273508688435,
-0.006686609238386154,
0.007994960062205791,
-0.009060332551598549,
0.06265133619308472,
-0.027643593028187752,
0.026877272874116898,
-0.0009100050083361566,
-0.02622309699654579,
-0.011186403222382069,
-0.0031306976452469826,
-0.05095093324780464,
0.002411104505881667,
-0.038652434945106506,
-0.021793393418192863,
0.0042007421143352985,
0.00672399066388607,
0.032353658229112625,
0.0023094734642654657,
-0.048072561621665955,
0.01973741315305233,
-0.016447843983769417,
-0.009093040600419044,
0.004635301418602467,
0.007261349353939295,
-0.035867515951395035,
-0.028708964586257935,
-0.034746069461107254,
-0.012074212543666363,
0.001470726914703846,
-0.06070749834179878,
0.009555636905133724,
-0.019513124600052834,
-0.026428693905472755,
0.0034227401483803988,
-0.07524888962507248,
-0.02603618986904621,
-0.013606852851808071,
0.04343726113438606,
-0.04564276710152626,
0.03560584411025047,
0.02065325900912285,
-0.018550550565123558,
-0.06990333646535873,
-0.011064913123846054,
0.05939914658665657,
0.053380731493234634,
-0.020802784711122513,
0.008779970929026604,
0.03947482630610466,
-0.030933160334825516,
0.025512848049402237,
-0.056034814566373825,
0.00411897012963891,
-0.027475375682115555,
-0.031606025993824005,
-0.008032342419028282,
-0.03132566809654236,
0.022055063396692276,
-0.007107150740921497,
0.043325114995241165,
0.026054879650473595,
-0.0030068715568631887,
-0.032727472484111786,
-0.0020641577430069447,
-0.06272609531879425,
0.004111960995942354,
-0.02295221947133541,
-0.03121352195739746,
0.031176140531897545,
-0.06395968049764633,
-0.10549049079418182,
0.015158183872699738,
0.04586705565452576,
0.11767684668302536,
0.0027195014990866184,
0.0038619723636657,
0.03158733621239662,
0.02220458909869194,
-0.03022291325032711,
-0.006635209545493126,
-0.020447660237550735,
-0.07188455760478973,
0.026372622698545456,
-0.057081494480371475,
0.05210975930094719,
0.07723010331392288,
0.014382517896592617,
0.0036423562560230494,
-0.051287367939949036,
0.015401163138449192,
-0.021924227476119995,
0.007574419025331736,
0.04115699231624603,
0.002565302886068821,
0.014046085067093372,
0.03824123740196228,
0.01513949315994978,
-0.027662282809615135,
0.011092949658632278,
0.013737687841057777,
0.06635209918022156,
0.06063273549079895,
-0.08306161314249039,
-0.00903696846216917,
-0.043885838240385056,
-0.04784827306866646,
0.0050044432282447815,
0.07166026532649994,
0.011616289615631104,
-0.009896742179989815,
0.002932108473032713,
0.059660814702510834,
-0.05345549434423447,
0.044446561485528946,
-0.025643683969974518,
0.034633927047252655,
-0.04268963262438774,
-0.030260294675827026,
0.049306150525808334,
0.03940006345510483,
-0.03454047068953514,
-0.019457051530480385,
0.00344610377214849,
-0.014625497162342072,
-0.008616426959633827,
-0.0075276922434568405,
-0.004053552635014057,
0.033886298537254333,
0.03760575130581856,
-0.006312794517725706,
-0.04870804771780968,
-0.027045488357543945,
-0.03902624920010567,
0.05939914658665657,
0.00022385071497410536,
-0.01820477284491062,
-0.003988134674727917,
0.07132383435964584,
-0.002138920594006777,
0.021849464625120163,
-0.0015501625603064895,
0.0028433275874704123,
-0.008709881454706192,
-0.04089532047510147,
-0.04392321780323982,
0.004439048934727907,
-0.01310220267623663,
0.031923770904541016,
0.055287186056375504,
0.012784460559487343,
0.10549049079418182,
0.016447843983769417,
0.00444138515740633,
-0.00730807613581419,
0.009765907190740108,
0.025195106863975525,
0.041717711836099625,
-0.023288652300834656,
-0.015148838050663471,
-0.011663016863167286,
-0.045979201793670654,
-0.020092535763978958,
-0.0005467039300128818,
-0.004632965195924044,
0.047025881707668304,
-0.04676420986652374,
0.005354894790798426,
0.03936268016695976,
0.024634383618831635,
-0.008747262880206108,
0.019531814381480217,
0.0027031470090150833,
-0.01229850109666586,
-0.03868981450796127,
0.020709330216050148,
0.0026564202271401882,
-0.029961243271827698,
0.05999724939465523,
-0.045493241399526596,
0.008649135939776897,
0.0514368936419487,
0.03334426507353783,
-0.00004161608376307413,
-0.01181254256516695,
0.011111640371382236,
0.03437225520610809,
-0.005840853787958622,
-0.008616426959633827,
-0.03411058709025383,
0.059922486543655396,
-0.03781135007739067,
-0.05397883430123329,
0.004572220146656036,
0.04044674336910248,
0.005153969395905733,
-0.013644234277307987,
0.0005040656542405486,
-0.0030886433087289333,
-0.03269008919596672,
0.05409097671508789,
-0.027643593028187752,
-0.024335332214832306,
-0.025382013991475105,
-0.08582784235477448,
0.019036510959267616,
-0.020503733307123184,
0.0010793897090479732,
-0.023849373683333397,
0.05457693710923195,
0.013793759979307652,
0.013896559365093708,
0.07850107550621033,
0.07128644734621048,
0.050352830439805984,
-0.050352830439805984,
-0.043399877846241,
0.008962205611169338,
0.007551055401563644,
-0.03854028880596161,
-0.03816647455096245,
-0.0012838196707889438,
-0.02910146862268448,
0.022671857848763466,
-0.0017487516161054373,
0.020204681903123856,
0.016550643369555473,
0.03497035801410675,
0.07109954208135605,
-0.017485179007053375,
0.011616289615631104,
0.06074487790465355,
0.023400796577334404,
-0.010420083068311214,
0.01659736968576908,
0.007359475828707218,
-0.019288836047053337,
-0.04661468416452408,
-0.02831645868718624,
-0.03115745075047016,
-0.005924961995333433,
0.012653625570237637,
-0.043512023985385895,
0.0009029959910549223,
-0.0020454670302569866,
-0.038652434945106506,
0.010896696709096432,
0.0719219371676445,
0.01880287565290928,
-0.013251728378236294,
-0.006742681376636028,
0.012831187807023525,
-0.031250905245542526,
-0.061156075447797775,
-0.04500728100538254,
0.015064729377627373,
-0.0351385772228241,
-0.0024531586095690727,
-0.011793851852416992,
-0.005153969395905733,
0.006228686310350895,
-0.0826130360364914,
0.05951128900051117,
0.04601658135652542,
-0.024223187938332558,
-0.042652249336242676,
-0.018980437889695168,
-0.02183077484369278,
0.05416573956608772,
-0.01998039148747921,
-0.03607311099767685,
0.022428877651691437,
0.08627641946077347,
-0.04231581836938858,
-0.03242842108011246,
0.005845526233315468,
-0.0011477277148514986,
0.023662466555833817,
-0.0027381922118365765,
0.010663062334060669,
0.06605304777622223,
0.0179524477571249,
-0.038259927183389664,
0.009415456093847752,
-0.024092353880405426,
-0.031045304611325264,
-0.03657776117324829,
-0.04201676324009895,
-0.01869073137640953,
0.010784552432596684,
-0.023213889449834824,
-0.06511850655078888,
0.05487598851323128,
-0.044932518154382706,
0.046053964644670486,
-0.04354940354824066,
-0.04837161302566528,
-0.010653717443346977,
0.010233175940811634,
0.03220413252711296,
0.010027577169239521,
0.020447660237550735,
0.04687635600566864,
-0.02646607533097267,
-0.032970450818538666,
-0.06321205198764801,
-0.024839982390403748,
-0.019587887451052666,
0.012849878519773483,
-0.04508204385638237,
-0.019475743174552917,
-0.002733519533649087,
-0.022410187870264053,
0.037344083189964294,
-0.002864354755729437,
0.0010642035631462932,
-0.03362462669610977,
0.03280223533511162,
-0.04500728100538254,
0.06321205198764801,
-0.0236250851303339,
-0.029942551627755165,
-0.019830865785479546,
0.006990333553403616,
-0.018148699775338173,
0.042577486485242844,
-0.03754968196153641,
-0.07737962901592255,
0.026167023926973343,
-0.04100746661424637,
0.0038643088191747665,
0.00508855190128088,
-0.034503091126680374,
0.009513582102954388,
-0.01770012266933918,
-0.0721462219953537,
0.02102707326412201,
0.022466259077191353,
0.03620394691824913,
-0.037400152534246445,
0.017933757975697517,
-0.01881222240626812,
0.006565119605511427,
-0.01335452776402235,
0.03988602012395859,
-0.012756424024701118,
0.039998166263103485,
-0.02904539741575718,
-0.024167116731405258,
-0.04885757341980934,
-0.031549956649541855,
0.024167116731405258,
0.03454047068953514,
0.023344723507761955,
0.051100458949804306,
0.00585954450070858,
-0.041231755167245865,
0.021438268944621086,
-0.03698895871639252,
0.03928791731595993,
-0.043624166399240494,
-0.014298410154879093,
-0.027456684038043022,
0.05569837987422943,
-0.022615784779191017,
-0.019457051530480385,
0.0351385772228241,
-0.04680159315466881,
-0.008121122606098652,
-0.003317604772746563,
0.01362554356455803,
-0.008990242145955563,
-0.009887397289276123,
0.020933618769049644,
0.039998166263103485,
0.0007114159525372088,
0.015027347952127457,
-0.02399889938533306,
0.03571799024939537,
0.016111411154270172,
0.02048504166305065,
-0.011821887455880642,
0.046652067452669144,
0.02459700219333172,
-0.035175956785678864,
-0.009728525765240192,
0.0019636950455605984,
0.07678152620792389,
0.034334875643253326,
-0.012971367686986923,
0.025064270943403244,
-0.004373631440103054,
0.03371807932853699,
0.006322139874100685,
-0.009508909657597542,
0.007836089469492435,
0.02035420760512352,
-0.011363964527845383,
-0.04889495298266411,
-0.03280223533511162,
0.019045855849981308,
-0.007686563301831484,
-0.04508204385638237,
0.0069529521279037,
-0.07098739594221115,
0.04354940354824066,
-0.017045946791768074,
-0.009635072201490402,
-0.018961748108267784,
-0.0266529843211174,
0.005915616638958454,
0.009336020797491074,
-0.00704640569165349,
-0.024989508092403412,
0.005541801918298006,
-0.08807072788476944,
0.03644692525267601,
-0.05719364061951637,
-0.017017912119627,
0.023363415151834488,
-0.01820477284491062,
-0.005364240147173405,
-0.02429795078933239,
0.09965898096561432,
-0.02510165236890316,
0.004357276950031519,
0.030802326276898384,
0.043698929250240326,
-0.04261486977338791,
0.04859590157866478,
0.006238031666725874,
-0.02571844682097435,
-0.02491474524140358,
0.0038199182599782944,
0.029942551627755165,
0.016503917053341866,
-0.0389888659119606,
-0.017017912119627,
0.00827064923942089,
0.026746436953544617,
0.025382013991475105,
-0.004878281150013208,
-0.07263218611478806,
0.04953043907880783,
-0.009116404689848423,
0.02842860296368599,
-0.004401667509227991,
0.004939025733619928,
-0.020055154338479042,
0.03940006345510483,
-0.005756745580583811,
0.005392276216298342,
-0.005401621572673321,
-0.03807302191853523,
0.03936268016695976,
-0.017746848985552788,
-0.010700443759560585,
-0.026989417150616646,
0.05203499644994736,
0.03521334007382393,
0.02091492898762226,
-0.011700398288667202,
-0.0676230639219284,
0.05113784223794937,
0.02220458909869194,
0.028036097064614296,
-0.008490265347063541,
-0.02928837575018406,
-0.03693288564682007,
-0.0037825368344783783,
-0.0637727752327919,
0.03242842108011246,
-0.028522057458758354,
0.047025881707668304,
-0.030316367745399475,
0.030185531824827194,
0.019139308482408524,
-0.007845434360206127,
-0.017971139401197433,
0.016915112733840942,
0.059922486543655396,
0.01770012266933918,
0.003548902692273259,
0.01162563543766737,
-0.003420403925701976,
0.001352741732262075,
0.04250272363424301,
0.018793530762195587,
0.05513766035437584,
-0.03231627494096756,
0.06224013492465019,
0.0016985202673822641,
-0.02263447642326355,
0.0372319370508194,
0.03668990731239319,
0.008153831586241722,
0.0474744588136673,
-0.04781089350581169,
0.013130239211022854,
0.03476475924253464,
-0.011550872586667538,
0.02683989144861698,
0.008504282683134079,
-0.03261532634496689,
-0.012924641370773315,
-0.039699114859104156,
0.01882156729698181,
0.012504099868237972,
-0.010588299483060837,
-0.016616061329841614,
0.05502551421523094,
0.026297859847545624,
-0.04463346675038338,
0.008812679909169674,
0.008700535632669926,
0.02837252989411354,
-0.016130100935697556,
-0.018148699775338173,
0.014148883521556854,
0.0017767876852303743,
-0.0082332668825984,
-0.03556846082210541,
-0.006560446694493294,
0.0205411147326231,
0.009952814318239689,
-0.012719042599201202,
-0.01709267497062683,
0.048446375876665115,
-0.001859727781265974,
0.031549956649541855,
-0.03095185197889805,
0.017055293545126915,
0.04698849841952324,
-0.0515490397810936,
0.016307663172483444,
-0.03668990731239319,
-0.0164104625582695,
-0.0371197946369648,
-0.004301204811781645,
-0.02459700219333172,
0.025811901316046715,
0.005308168008923531,
0.008705208078026772,
-0.023176508024334908,
0.024204498156905174,
-0.028540747240185738,
-0.027662282809615135,
-0.004981080070137978,
-0.005247422959655523,
-0.029250994324684143,
0.010691098868846893,
-0.04639039561152458,
-0.0038456181064248085,
-0.011793851852416992,
-0.016130100935697556,
-0.0019368270877748728,
0.05199761688709259,
-0.015307709574699402,
0.010317283682525158,
-0.024559620767831802,
0.026073571294546127,
-0.011691052466630936,
-0.04594181850552559,
0.014737642370164394,
-0.04325035214424133,
0.06844545900821686,
0.03046589344739914,
-0.01174712460488081,
0.024783911183476448,
0.023288652300834656,
0.029026705771684647,
-0.022484950721263885,
-0.003322277683764696,
-0.01326107420027256,
-0.019812176004052162,
0.07999633252620697,
0.0108219338580966,
0.037773970514535904,
-0.03274616226553917,
0.008793989196419716,
0.044072747230529785,
0.009396765381097794,
0.026073571294546127,
-0.01645718887448311,
-0.010195794515311718,
0.05629648268222809,
-0.0018655686872079968,
0.06033368036150932,
0.0011448073200881481,
0.03328819200396538,
0.04990425333380699,
-0.03224151208996773,
-0.026802510023117065,
-0.002136584371328354,
-0.018830912187695503,
-0.026447385549545288,
-0.026410004124045372,
-0.06698758155107498,
-0.03138173744082451,
0.006069815251976252,
0.0033783498220145702,
0.0028106188401579857,
0.06070749834179878,
0.024279261007905006,
0.00014996391837485135,
0.023269960656762123,
0.03726932033896446,
-0.0049530440010130405,
0.04242796078324318,
-0.0011985431192442775,
0.021195290610194206,
-0.007653854787349701,
-0.0297930259257555,
0.07431434839963913,
0.011111640371382236,
-0.0392131544649601,
0.002527921460568905,
0.007714599370956421,
0.03276485204696655,
-0.016120756044983864,
-0.03984864056110382,
0.027419302612543106,
-0.01968134008347988,
0.017840303480625153,
-0.013148929923772812,
-0.019531814381480217,
0.03730669990181923,
0.017728159204125404,
0.0024928762577474117,
0.05995986610651016,
0.0007061592186801136,
-0.009317330084741116,
0.01146676391363144,
0.019270144402980804,
0.057081494480371475,
0.0006576800951734185,
-0.016120756044983864,
-0.04687635600566864,
0.08537926524877548,
0.03455916419625282,
-0.012532135471701622,
0.027737045660614967,
0.03465261682868004,
0.03883934020996094,
-0.00028430356178432703,
0.007798708043992519,
-0.030578037723898888,
0.011980758979916573,
0.010420083068311214,
-0.042465344071388245,
-0.014494662173092365,
-0.03349379077553749,
0.017036601901054382,
-0.0001227309403475374,
0.043325114995241165,
-0.028204314410686493,
-0.010167757980525494,
0.053567636758089066,
0.009821979328989983,
-0.01526098232716322,
-0.05068926513195038,
0.004525493364781141,
0.0049623893573880196,
0.009709835052490234,
0.0031984513625502586,
0.020615877583622932,
-0.02078409306704998,
-0.025082962587475777,
0.03276485204696655,
-0.00006830148049630225,
0.004224105272442102,
-0.005069861188530922,
0.030877089127898216,
-0.021176598966121674,
-0.037904802709817886,
0.004275504965335131,
0.023793300613760948,
0.0019882265478372574,
0.019999083131551743,
0.028690272942185402,
0.03467130661010742,
0.005247422959655523,
0.001315360190346837,
-0.04347464069724083,
-0.011803196743130684,
0.005789454095065594,
0.02960611879825592,
0.0026727747172117233,
0.007443584036082029,
-0.038203854113817215,
0.01020513940602541,
0.01677493192255497,
-0.029643500223755836,
-0.04336249828338623,
-0.015653487294912338,
0.061342980712652206,
0.003932062536478043,
-0.008560354821383953,
-0.009546291083097458,
0.012279810383915901,
-0.022858764976263046,
-0.02151303179562092,
0.017616014927625656,
-0.04040936380624771,
-0.021083146333694458,
0.05427788570523262,
-0.005415639374405146,
-0.011588254012167454,
0.002602684311568737,
-0.018335608765482903,
0.0018854275112971663,
-0.013868522830307484,
0.002129575237631798,
0.005948325153440237,
0.055735763162374496,
0.03134435787796974,
-0.023344723507761955,
0.11117247492074966,
0.010102340951561928,
-0.03917577490210533,
0.010354665108025074,
0.004446057602763176,
-0.017438452690839767,
0.03126959502696991,
0.005079206544905901,
-0.03872719779610634,
0.009289293549954891,
0.004812863655388355,
-0.017064638435840607,
0.06653900444507599,
0.037587061524391174,
-0.01911127381026745,
-0.01300874911248684,
0.015485270880162716,
-0.025082962587475777,
0.0009649090352468193,
0.005868889857083559,
0.0013667597668245435,
-0.035923585295677185,
0.0075276922434568405,
0.016055338084697723,
-0.004836226813495159,
-0.001732397242449224,
0.023475559428334236,
0.020447660237550735,
0.0013796096900478005,
-0.004319895524531603,
-0.030690182000398636,
0.02831645868718624,
0.014036739245057106,
0.030428512021899223,
-0.002420449862256646,
-0.013588162139058113,
0.03267139941453934,
0.007705254014581442,
-0.038577672094106674,
0.013915250077843666,
-0.0068641710095107555,
-0.021176598966121674,
0.03523202985525131,
-0.02584928274154663,
-0.019643958657979965,
0.03646561875939369,
0.009181821718811989,
0.01017710380256176,
-0.01252279058098793,
-0.001086982898414135,
0.005924961995333433,
0.01887763850390911,
-0.0029437902849167585,
-0.01986824721097946,
0.0030092077795416117,
-0.039699114859104156,
-0.0002967153559438884,
0.006532410625368357,
0.026110952720046043,
-0.021980300545692444,
-0.017681432887911797,
-0.036222636699676514,
0.0053128404542803764,
-0.001446195412427187,
-0.013373218476772308,
-0.049979016184806824,
-0.0392131544649601,
-0.018223462626338005,
-0.01665344275534153,
-0.03325081244111061,
-0.03065280057489872,
-0.03831600025296211,
-0.03515726700425148,
-0.03418534994125366,
-0.02990517020225525,
0.015868430957198143,
0.000518083747010678,
0.001863232348114252,
0.020129917189478874,
-0.0011681707110255957,
-0.05943652614951134,
0.032839614897966385,
-0.05711887776851654,
0.06336157768964767,
-0.058688897639513016,
0.006602501031011343,
0.03902624920010567,
0.012569516897201538,
0.014354482293128967,
-0.01776554062962532,
-0.054053597152233124,
-0.00582683552056551,
0.011775161139667034,
-0.00974721647799015,
-0.00037731914198957384,
0.013747033663094044,
0.042951300740242004,
0.03300783410668373,
0.014999312348663807,
0.01020513940602541,
0.03330688551068306,
-0.015877775847911835,
-0.027400612831115723,
-0.000005968622190266615,
0.024559620767831802,
0.003766182344406843,
-0.035493697971105576,
-0.007602455094456673,
-0.021494342014193535,
0.025793209671974182,
0.002039626007899642,
-0.004196069203317165,
0.051212605088949203,
-0.012728388421237469,
-0.013690960593521595,
-0.062389664351940155,
-0.005467039067298174,
-0.0339236781001091,
0.008135140873491764,
0.004429703578352928,
-0.014756333082914352,
0.034932978451251984,
0.025699757039546967,
0.05360502004623413,
0.0025232487823814154,
-0.013803105801343918,
0.000956147734541446,
-0.03498905152082443,
0.02134481631219387,
0.00792487058788538,
0.024372713640332222,
-0.030129458755254745,
0.04336249828338623,
-0.03285830467939377,
0.0025769846979528666,
-0.037530988454818726,
0.007023042533546686,
-0.02325127087533474,
-0.023662466555833817,
-0.03560584411025047,
-0.03717586398124695,
-0.024783911183476448,
0.019344907253980637,
-0.03596096858382225,
0.0005312256398610771,
0.004812863655388355,
0.0019274817313998938,
-0.00263772951439023,
0.010008886456489563,
0.0016120756044983864,
0.026428693905472755,
0.007266021799296141,
0.0026330568362027407,
-0.007532364688813686,
0.027737045660614967,
0.009990195743739605,
0.021008381620049477,
-0.023905446752905846,
0.014831095933914185,
-0.006499702110886574,
0.038876723498106,
-0.04392321780323982,
0.026877272874116898,
0.020092535763978958,
-0.047399695962667465,
-0.029699573293328285,
-0.0038105729036033154,
0.014074120670557022,
0.0034250766038894653,
0.017793577164411545,
0.004520820919424295,
0.033699389547109604,
-0.050053779035806656,
0.02084016613662243,
0.0013106875121593475,
0.018485134467482567,
0.014924549497663975,
0.006677263882011175,
-0.026054879650473595,
0.027101561427116394,
0.08231398463249207,
-0.022989600896835327,
0.022484950721263885,
-0.006728663574904203,
0.010541573166847229,
0.01744779758155346,
-0.01645718887448311,
-0.02491474524140358,
-0.0064202663488686085,
0.05711887776851654,
-0.019643958657979965,
-0.03455916419625282,
0.028409913182258606,
-0.038091711699962616,
0.0642213523387909,
-0.011270510964095592,
-0.0053315311670303345,
0.007228640373796225,
-0.027475375682115555,
-0.003588620573282242,
0.018858948722481728,
-0.022036373615264893,
-0.014859131537377834,
0.04003554582595825,
-0.011634980328381062,
-0.012578862719237804,
0.010429427959024906,
0.03397975116968155,
-0.014167574234306812,
0.02201768197119236,
-0.021475650370121002,
0.0174571443349123,
-0.0015431535430252552,
0.00891080591827631,
-0.020391589030623436,
-0.002546612173318863,
-0.0740152969956398,
-0.02541939541697502,
0.019718721508979797,
0.006579137407243252,
0.02928837575018406,
0.007976269349455833,
-0.0012020476860925555,
0.017559941858053207,
-0.035680606961250305,
-0.011485454626381397,
0.004537174943834543,
-0.011335928924381733,
-0.02603618986904621,
0.02738192118704319,
0.0016050665872171521,
-0.013765724375844002,
0.007055751048028469,
-0.024223187938332558,
0.024223187938332558,
-0.024727838113904,
0.015363781712949276,
-0.017475834116339684,
-0.005789454095065594,
-0.013821796514093876,
0.002366713946685195,
-0.029699573293328285,
-0.05001639947295189,
0.004780154675245285,
-0.008191213011741638,
0.01100884098559618,
-0.012027486227452755,
0.013560125604271889,
-0.027793118730187416,
-0.011831233277916908,
-0.007719272281974554,
0.03680204972624779,
-0.012681661173701286,
0.01856924220919609,
0.03128828480839729,
0.05711887776851654,
-0.009242567233741283,
0.006280086003243923,
0.019073892384767532,
0.0036493653897196054,
-0.0026353932917118073,
0.05087617039680481,
-0.050913553684949875,
0.035736680030822754,
-0.03781135007739067,
-0.029886480420827866,
0.05080140754580498,
-0.050240688025951385,
-0.010149067267775536,
-0.03366200625896454,
-0.023101745173335075,
-0.011737779714167118
] |
This paper targets the perceptual task of separating the different
interacting voices, i.e., monophonic melodic streams, in a polyphonic musical
piece. We target symbolic music, where notes are explicitly encoded, and model
this task as a Multi-Trajectory Tracking (MTT) problem from discrete
observations, i.e., notes in a pitch-time space. Our approach builds a graph
from a musical piece, by creating one node for every note, and separates the
melodic trajectories by predicting a link between two notes if they are
consecutive in the same voice/stream. This kind of local, greedy prediction is
made possible by node embeddings created by a heterogeneous graph neural
network that can capture inter- and intra-trajectory information. Furthermore,
we propose a new regularization loss that encourages the output to respect the
MTT premise of at most one incoming and one outgoing link for every node,
favouring monophonic (voice) trajectories; this loss function might also be
useful in other general MTT scenarios. Our approach does not use
domain-specific heuristics, is scalable to longer sequences and a higher number
of voices, and can handle complex cases such as voice inversions and overlaps.
We reach new state-of-the-art results for the voice separation task in
classical music of different styles. | [
0.044230956584215164,
-0.02392544038593769,
-0.03325805813074112,
-0.033503156155347824,
-0.013904659077525139,
-0.009624851867556572,
-0.07130497694015503,
0.03542624041438103,
-0.005726833827793598,
0.03834857791662216,
0.007979859597980976,
-0.02771504782140255,
0.01772254891693592,
-0.049547720700502396,
-0.025829670950770378,
-0.007178574800491333,
0.04219474643468857,
-0.03985688090324402,
-0.034163039177656174,
-0.05388408899307251,
0.015724048018455505,
-0.009605998173356056,
-0.05727776512503624,
-0.037104226648807526,
0.022322868928313255,
0.007093732710927725,
0.04328826442360878,
0.030543114989995956,
-0.09147851169109344,
0.041629135608673096,
0.04125205799937248,
0.033239204436540604,
0.0009915906703099608,
-0.024736152961850166,
-0.06417825073003769,
0.000847241492010653,
0.02696089819073677,
0.026810066774487495,
-0.006452704314142466,
0.006565826945006847,
-0.010341295041143894,
-0.008300374262034893,
0.015422387979924679,
-0.03880106657743454,
0.007909158244729042,
0.0073105511255562305,
-0.010614675469696522,
-0.011972147040069103,
0.019343972206115723,
-0.000004658208126784302,
0.009426887147128582,
0.03171204775571823,
-0.017138080671429634,
-0.04351451247930527,
-0.003268773201853037,
-0.019551364704966545,
0.06504552066326141,
0.0006369040929712355,
0.05648590996861458,
-0.0013433314161375165,
0.022266307845711708,
0.04600321128964424,
-0.061161644756793976,
-0.0220777690410614,
0.022643383592367172,
-0.057918794453144073,
0.03678371384739876,
-0.05226266384124756,
0.036708299070596695,
-0.011764755472540855,
-0.04441949352622032,
-0.012292660772800446,
-0.01640278287231922,
-0.008569040335714817,
0.05305452272295952,
-0.020644882693886757,
0.0501510389149189,
0.039706047624349594,
0.01719464175403118,
0.02107851952314377,
-0.014215745963156223,
0.018948042765259743,
-0.07458553463220596,
0.040233954787254333,
0.10482698678970337,
-0.02322784997522831,
-0.017882805317640305,
-0.048982106149196625,
0.0036081410944461823,
0.02362377941608429,
-0.04947230592370033,
0.016789285466074944,
-0.03186287730932236,
-0.017477449029684067,
0.004291590303182602,
-0.05007562413811684,
0.057994209229946136,
-0.02626330778002739,
-0.014017781242728233,
-0.013961220160126686,
0.03797150030732155,
-0.04404241591691971,
-0.016704443842172623,
0.008488912135362625,
0.03768869489431381,
-0.02006041631102562,
0.004258596338331699,
0.014112050645053387,
0.009860523976385593,
0.10241370648145676,
0.06255682557821274,
0.019815316423773766,
0.04551301151514053,
0.007904444821178913,
-0.0038178893737494946,
0.020305514335632324,
-0.109427310526371,
-0.040799569338560104,
0.010284733958542347,
-0.024660736322402954,
-0.007522656116634607,
0.006768505088984966,
-0.03817889466881752,
-0.0240574162453413,
-0.04411783069372177,
0.05037728697061539,
-0.049773965030908585,
-0.03725505992770195,
-0.04113893583416939,
0.013131653890013695,
-0.0034384571481496096,
0.04012083262205124,
0.00459560751914978,
-0.012217245995998383,
0.01051097922027111,
0.03665173798799515,
-0.02467959001660347,
0.0066742361523211,
0.01975875534117222,
0.014027208089828491,
-0.005420460365712643,
-0.014196892268955708,
-0.05071665346622467,
-0.01759057119488716,
0.005637278780341148,
0.0009815746452659369,
0.003497375175356865,
0.06316014379262924,
-0.00038797533488832414,
-0.0021811460610479116,
-0.046606529504060745,
0.06127476692199707,
0.009012104012072086,
0.05486448481678963,
-0.0501510389149189,
-0.002747937571257353,
-0.0032404924277216196,
-0.033371180295944214,
-0.041553717106580734,
-0.02814868465065956,
0.014828493818640709,
-0.01095404289662838,
0.03378596529364586,
-0.002505195327103138,
-0.0016155327903106809,
0.04166684299707413,
0.02652726136147976,
0.004152543842792511,
-0.01816561259329319,
0.043740756809711456,
-0.017449168488383293,
0.009228922426700592,
0.026451844722032547,
0.020343221724033356,
-0.0401962473988533,
-0.021097373217344284,
0.028073269873857498,
-0.0036340649239718914,
-0.0520741268992424,
0.03342774137854576,
-0.09125226736068726,
0.05592029541730881,
0.03667059168219566,
-0.0024816279765218496,
0.01194386649876833,
0.07888419181108475,
0.04645569995045662,
0.008521906100213528,
0.01808076910674572,
-0.010727797634899616,
0.0211162269115448,
0.06327326595783234,
0.08604862540960312,
-0.04649340733885765,
0.009671986103057861,
-0.03174975514411926,
-0.04276036098599434,
0.016515906900167465,
0.034426990896463394,
-0.0006068558432161808,
-0.0346720926463604,
-0.02072029747068882,
0.030241454020142555,
-0.03857482224702835,
0.05392179638147354,
0.037104226648807526,
-0.04509823024272919,
-0.03329576551914215,
-0.014008354395627975,
-0.07813004404306412,
0.00743310060352087,
-0.031089873984456062,
-0.03184402361512184,
-0.03672715276479721,
0.028563467785716057,
-0.03791493922472,
-0.029788963496685028,
-0.00014412826567422599,
0.03550165891647339,
-0.01724177598953247,
0.04015854001045227,
0.05422345548868179,
-0.00023832349688746035,
0.03849940747022629,
-0.04830336943268776,
0.025528009980916977,
-0.015526083298027515,
0.011953293345868587,
-0.030373429879546165,
0.019325118511915207,
-0.02524520456790924,
0.017665985971689224,
-0.021926939487457275,
-0.038518261164426804,
0.004586180672049522,
0.0010516870534047484,
0.010454418137669563,
0.028224101290106773,
0.04125205799937248,
-0.016600748524069786,
-0.01732661947607994,
-0.02854461409151554,
0.0024886983446776867,
0.017628278583288193,
0.017006104812026024,
0.016958970576524734,
-0.018618103116750717,
0.0266969446092844,
0.008111836388707161,
0.010416710749268532,
0.004536689259111881,
-0.01451740600168705,
0.028318369761109352,
-0.05312993749976158,
-0.03797150030732155,
0.05780567228794098,
-0.017260629683732986,
-0.0028398497961461544,
0.03765098750591278,
-0.10128247737884521,
0.04604091867804527,
0.050603531301021576,
0.011095446534454823,
0.07311493903398514,
0.009422173723578453,
-0.03910272940993309,
0.01110487338155508,
-0.012151258066296577,
0.006259453017264605,
0.01194386649876833,
-0.03876335918903351,
-0.04509823024272919,
-0.02520749717950821,
-0.05256432294845581,
-0.012594321742653847,
-0.03985688090324402,
-0.00531205115839839,
0.006382002495229244,
0.029770109802484512,
-0.02058832161128521,
0.024208245798945427,
-0.007004177197813988,
0.016553614288568497,
0.05248890817165375,
-0.055844880640506744,
-0.034766361117362976,
0.007173861376941204,
-0.03665173798799515,
-0.025188643485307693,
-0.023831170052289963,
-0.01427230704575777,
-0.03791493922472,
-0.012698017060756683,
-0.008573753759264946,
-0.00699475035071373,
0.005033957771956921,
-0.04490968957543373,
-0.010586393997073174,
0.08159913867712021,
-0.06855232268571854,
-0.04015854001045227,
-0.028073269873857498,
0.04860503226518631,
0.016921263188123703,
-0.059804171323776245,
0.008088269270956516,
0.029449595138430595,
0.11840170621871948,
-0.032277662307024,
-0.050037916749715805,
-0.02960042655467987,
0.034558966755867004,
-0.038687944412231445,
-0.0022011781111359596,
-0.04683277755975723,
-0.016299087554216385,
0.06410283595323563,
0.027111727744340897,
0.02596164681017399,
-0.05486448481678963,
-0.0007500267238356173,
-0.021342473104596138,
-0.052639737725257874,
-0.020399784669280052,
-0.0034808781929314137,
0.025188643485307693,
0.013122227042913437,
0.023378679528832436,
0.010586393997073174,
0.012405783869326115,
0.026225600391626358,
0.02352951094508171,
0.0027149436064064503,
-0.013904659077525139,
0.0107089439406991,
-0.011962720192968845,
0.009257202968001366,
0.02220974676311016,
0.02854461409151554,
-0.04570154845714569,
-0.00531205115839839,
-0.008724584244191647,
0.016167111694812775,
0.015497802756726742,
-0.014885054901242256,
0.04098810628056526,
-0.021870378404855728,
0.014300587587058544,
0.03470980003476143,
0.0107089439406991,
0.0009998392779380083,
-0.013339045457541943,
0.00703717116266489,
0.015186714939773083,
-0.014234599657356739,
-0.04709672927856445,
-0.036576323211193085,
-0.004402356222271919,
0.05037728697061539,
0.04815253987908363,
0.0045743971131742,
-0.023586072027683258,
-0.05599571019411087,
0.00007696169632254168,
-0.07813004404306412,
-0.037594426423311234,
-0.061161644756793976,
-0.026206746697425842,
-0.0091487942263484,
0.0010063202353194356,
-0.014507979154586792,
-0.013301338069140911,
-0.02560342662036419,
0.007880877703428268,
-0.020305514335632324,
0.04177996516227722,
-0.018090195953845978,
-0.031523510813713074,
-0.01808076910674572,
0.04362763464450836,
0.0060662017203867435,
0.0335974246263504,
0.036576323211193085,
-0.004652169067412615,
-0.03932897374033928,
0.08348451554775238,
0.013320191763341427,
0.002302517183125019,
-0.004626244772225618,
0.017090946435928345,
-0.005580717232078314,
-0.04562613368034363,
-0.04615404084324837,
0.010642956010997295,
0.029939793050289154,
-0.0065564000979065895,
-0.0027785750571638346,
-0.017571717500686646,
0.015724048018455505,
-0.020965397357940674,
-0.011557363905012608,
-0.028450345620512962,
0.025282911956310272,
0.03787723183631897,
-0.021267058327794075,
0.013225922361016273,
0.031033312901854515,
-0.009728547185659409,
0.0646684467792511,
-0.02775275520980358,
0.015620351769030094,
-0.047926295548677444,
-0.013838670216500759,
-0.025886232033371925,
0.0074095334857702255,
0.011604498140513897,
0.003626994788646698,
0.006952329538762569,
0.024924689903855324,
0.011651632376015186,
0.015271557494997978,
0.020022708922624588,
0.04600321128964424,
-0.004744080826640129,
0.011170861311256886,
0.05230037122964859,
0.035218849778175354,
-0.029185643419623375,
-0.014357149600982666,
-0.025188643485307693,
0.016563041135668755,
-0.06074685975909233,
0.05923856049776077,
-0.020663736388087273,
0.018184466287493706,
-0.017835671082139015,
0.005392179358750582,
-0.008927262388169765,
0.01207584235817194,
-0.00603792117908597,
-0.030863629654049873,
-0.0467950664460659,
-0.026338722556829453,
-0.007928011938929558,
-0.03022260032594204,
-0.034596677869558334,
-0.024830421432852745,
-0.0441555380821228,
-0.017713120207190514,
-0.0017310121329501271,
-0.03348430246114731,
0.020531760528683662,
-0.05576946586370468,
-0.05354471877217293,
0.028752006590366364,
0.03993229568004608,
0.0173360463231802,
-0.012858274392783642,
0.0131976418197155,
-0.0632355585694313,
-0.017760256305336952,
0.05094289779663086,
0.029487302526831627,
-0.05011333152651787,
-0.03388023376464844,
-0.020248953253030777,
-0.06760963797569275,
0.04585237801074982,
0.0020338508766144514,
0.035256557166576385,
0.06372575461864471,
-0.017958220094442368,
-0.019343972206115723,
0.05607112497091293,
0.0001782270846888423,
0.014687090180814266,
0.001511837006546557,
-0.059766463935375214,
0.024868128821253777,
0.024302516132593155,
0.0257354024797678,
-0.009233635850250721,
0.04057332128286362,
0.01989073120057583,
0.0012467058841139078,
-0.027733901515603065,
0.043476805090904236,
-0.015827743336558342,
-0.0069287619553506374,
-0.025433741509914398,
0.060332078486680984,
0.0015577931189909577,
-0.014460844919085503,
-0.0016461701598018408,
-0.006740224547684193,
0.016289660707116127,
0.01720406860113144,
-0.020814567804336548,
0.03978146240115166,
-0.008616174571216106,
0.038914188742637634,
-0.07458553463220596,
0.04087498411536217,
0.004567326977849007,
0.031693194061517715,
0.03831087052822113,
-0.03035457618534565,
0.03444584459066391,
0.03333347290754318,
0.02322784997522831,
0.04592779278755188,
-0.0035256557166576385,
0.050264161080121994,
0.018702944740653038,
-0.004029994364827871,
0.02190808579325676,
0.055090729147195816,
-0.002453347435221076,
0.019296837970614433,
-0.0083993561565876,
-0.0061651840806007385,
-0.024491053074598312,
-0.016911836341023445,
0.07281327992677689,
-0.06236828491091728,
0.05844670161604881,
0.0034172465093433857,
-0.021738402545452118,
0.034106478095054626,
-0.03638778626918793,
-0.019032886251807213,
0.010454418137669563,
-0.03391794115304947,
-0.031994856894016266,
-0.006061488296836615,
-0.013235350139439106,
-0.0105581134557724,
0.05222495645284653,
-0.023680340498685837,
-0.018542686477303505,
0.004737010691314936,
0.0133484723046422,
-0.0313161201775074,
0.052187249064445496,
-0.01649705320596695,
0.004878414329141378,
0.032353077083826065,
-0.05490219220519066,
-0.01163277868181467,
0.0022483125794678926,
0.007946865633130074,
-0.00860203430056572,
0.01803363487124443,
0.020833421498537064,
-0.05524155870079994,
-0.04668194428086281,
-0.016647882759571075,
-0.020343221724033356,
0.029374180361628532,
0.01080321241170168,
0.019985001534223557,
0.015318691730499268,
0.018985750153660774,
-0.02190808579325676,
-0.035388533025979996,
0.01720406860113144,
-0.008441777899861336,
0.04513593763113022,
-0.011887304484844208,
-0.006617675069719553,
-0.028883982449769974,
-0.03252276033163071,
-0.020663736388087273,
-0.04524905979633331,
0.02424595318734646,
0.002462774282321334,
0.03757557272911072,
-0.007814889773726463,
-0.02596164681017399,
-0.03821660205721855,
0.0547136552631855,
0.02458532154560089,
0.01150080282241106,
0.0009633100125938654,
-0.013734974898397923,
-0.03917814418673515,
-0.008913122117519379,
-0.05840899422764778,
-0.01526213064789772,
-0.03812233358621597,
-0.028657738119363785,
0.07933668047189713,
0.033672839403152466,
-0.03190058469772339,
-0.03902731463313103,
-0.024528760462999344,
0.008743437938392162,
-0.045550718903541565,
0.026621529832482338,
-0.021889232099056244,
-0.01207584235817194,
-0.004607391078025103,
-0.005495875142514706,
0.005868237465620041,
-0.004173754248768091,
-0.03595414757728577,
0.010935189202427864,
-0.0000345407024724409,
-0.025000104680657387,
0.02151215635240078,
-0.012924262322485447,
0.0220777690410614,
0.00755565008148551,
-0.036350078880786896,
0.06044520065188408,
0.04257182404398918,
0.01636507548391819,
-0.007183288224041462,
-0.02682892046868801,
-0.04513593763113022,
0.05490219220519066,
0.015252703800797462,
0.05094289779663086,
-0.03026030771434307,
-0.009860523976385593,
0.006895767990499735,
0.0068533471785485744,
-0.006184038240462542,
0.008333368226885796,
-0.0011441884562373161,
-0.012773431837558746,
0.03308837488293648,
-0.03193829581141472,
-0.03978146240115166,
0.022153185680508614,
0.020739151164889336,
-0.013951793313026428,
0.016572467982769012,
-0.011321691796183586,
0.01605398952960968,
-0.020871128886938095,
0.003659988986328244,
0.015620351769030094,
0.02243599109351635,
-0.012434064410626888,
0.020795714110136032,
-0.04196850210428238,
-0.01090690866112709,
0.037669841200113297,
0.016732724383473396,
0.029751256108283997,
0.047624632716178894,
-0.0014529189793393016,
0.046606529504060745,
-0.025716548785567284,
0.004159613978117704,
0.023020459339022636,
-0.02256796881556511,
0.014800213277339935,
-0.01821274682879448,
0.051885586231946945,
-0.026093624532222748,
-0.007400106638669968,
-0.029487302526831627,
0.034464698284864426,
0.008767005056142807,
0.028450345620512962,
0.025829670950770378,
-0.04653111472725868,
0.045814670622348785,
-0.0011559720151126385,
-0.015450668521225452,
-0.004859560169279575,
-0.010209319181740284,
-0.0005608997889794409,
-0.01110487338155508,
0.006009640637785196,
0.02982667088508606,
0.014347722753882408,
0.005651419050991535,
-0.006103909574449062,
-0.03465323895215988,
-0.016902409493923187,
0.024095123633742332,
0.03859367594122887,
-0.002696089679375291,
-0.018052488565444946,
-0.0016237812815234065,
-0.009521156549453735,
-0.010303587652742863,
0.015469522215425968,
-0.014988751150667667,
-0.00012542179320007563,
0.02801670879125595,
0.011048312298953533,
0.0004271558136679232,
0.005670272745192051,
0.005085805431008339,
0.023472949862480164,
0.0038131759501993656,
-0.03642549365758896,
0.01123684924095869,
-0.031334973871707916,
0.034596677869558334,
-0.00033642203197814524,
0.07277557253837585,
0.016506480053067207,
-0.021097373217344284,
-0.040799569338560104,
-0.0015483662718906999,
0.03454011306166649,
-0.01632736809551716,
0.007532082963734865,
-0.003311194246634841,
0.011934439651668072,
-0.005345045123249292,
0.025791963562369347,
0.0055288695730268955,
-0.005500588566064835,
0.006052061449736357,
-0.0015672199660912156,
-0.017175788059830666,
0.045588426291942596,
-0.06312243640422821,
-0.05124456062912941,
0.018834920600056648,
-0.01282056700438261,
0.036746006458997726,
0.021832671016454697,
0.01247177179902792,
0.0343138687312603,
-0.052149541676044464,
0.004706373438239098,
0.009408033452928066,
-0.003945152275264263,
0.009365612640976906,
-0.0061887516640126705,
0.021926939487457275,
0.020550614222884178,
-0.02177610993385315,
0.023416388779878616,
-0.011227422393858433,
0.017524583265185356,
0.038989607244729996,
0.028525760397315025,
0.04200620949268341,
0.02890283614397049,
0.0220777690410614,
0.01720406860113144,
-0.0012125333305448294,
0.01790165901184082,
-0.042081624269485474,
0.04140288755297661,
-0.045286767184734344,
-0.027149435132741928,
0.02952500991523266,
0.0061698975041508675,
-0.027432242408394814,
-0.003586930688470602,
-0.042911190539598465,
-0.018948042765259743,
0.005123513285070658,
0.017911085858941078,
0.00879999902099371,
0.036840274930000305,
0.012000427581369877,
-0.04702131450176239,
-0.017317192628979683,
-0.02260567620396614,
0.001336261280812323,
-0.0023944294080138206,
-0.02234172262251377,
0.04095039889216423,
-0.014479698613286018,
0.013819816522300243,
0.01759999804198742,
0.019164862111210823,
-0.03981917351484299,
-0.0415160097181797,
-0.015045312233269215,
-0.038914188742637634,
0.022850774228572845,
0.025414887815713882,
0.01649705320596695,
0.009747401811182499,
0.01471537072211504,
0.00611333642154932,
-0.001860631862655282,
-0.023454096168279648,
0.006895767990499735,
-0.02401970885694027,
-0.00499153696000576,
0.0004728173080366105,
0.003419603453949094,
0.07021145522594452,
0.00213990337215364,
-0.0062641664408147335,
-0.005543009843677282,
-0.06319785118103027,
-0.0359918549656868,
-0.004414139781147242,
-0.025886232033371925,
-0.01431944128125906,
0.036802567541599274,
0.02102195844054222,
-0.027922440320253372,
-0.031165288761258125,
0.003751901211217046,
0.009737974964082241,
-0.011906158179044724,
0.017939366400241852,
-0.015083019621670246,
-0.010963469743728638,
-0.017015531659126282,
0.09532468020915985,
0.02006041631102562,
-0.0069193351082503796,
-0.006429137196391821,
-0.022681090980768204,
-0.011529083363711834,
-0.01295254286378622,
-0.00044306370546109974,
0.019513657316565514,
0.004194964654743671,
-0.010096196085214615,
-0.011029457673430443,
0.011519656516611576,
-0.03738703578710556,
0.026847774162888527,
0.016600748524069786,
0.03910272940993309,
0.07888419181108475,
-0.03985688090324402,
0.017090946435928345,
-0.03633122518658638,
0.02028666064143181,
0.004001713823527098,
-0.0016697373939678073,
-0.011623351834714413,
0.015865450724959373,
-0.014366576448082924,
0.05923856049776077,
-0.015988001599907875,
-0.04539988934993744,
0.008592607453465462,
-0.0131976418197155,
-0.0045461165718734264,
-0.03951751068234444,
0.012386930175125599,
-0.0066742361523211,
-0.008413496427237988,
0.07277557253837585,
0.08205162733793259,
0.02801670879125595,
0.0060662017203867435,
-0.012188965454697609,
0.018900908529758453,
0.0021375466603785753,
0.014753078110516071,
-0.017826244235038757,
0.02992093935608864,
-0.009087519720196724,
-0.00886127445846796,
-0.025829670950770378,
0.007989287376403809,
0.007107872981578112,
0.025150934234261513,
-0.035822171717882156,
-0.02920449711382389,
-0.026621529832482338,
-0.031014459207654,
-0.012217245995998383,
-0.042647238820791245,
0.02762077935039997,
0.010275307111442089,
0.041893087327480316,
-0.04272265359759331,
-0.018636956810951233,
-0.005830529611557722,
-0.06206662580370903,
0.040309369564056396,
0.005910658277571201,
0.02269994467496872,
-0.018900908529758453,
0.05776796489953995,
0.003586930688470602,
-0.0012467058841139078,
-0.03685912862420082,
-0.0021964646875858307,
-0.0501510389149189,
-0.018995177000761032,
0.04204391688108444,
-0.04177996516227722,
-0.02049405314028263,
0.05886148288846016,
0.01299967709928751,
-0.07089019566774368,
-0.019164862111210823,
0.0022565610706806183,
0.02894054353237152,
0.01042613759636879,
-0.07941209524869919,
-0.015384679660201073,
0.001511837006546557,
-0.016072843223810196,
-0.03497375175356865,
-0.02194579318165779,
-0.0008920191903598607,
0.011595071293413639,
-0.04490968957543373,
-0.04434407874941826,
-0.01746802218258381,
0.009134653955698013,
-0.05305452272295952,
0.00003940144233638421,
-0.024302516132593155,
-0.05150851234793663,
0.02454761415719986,
-0.004977396689355373,
0.053695548325777054,
0.011595071293413639,
0.022662237286567688,
-0.002016175538301468,
0.05739089101552963,
-0.015158434398472309,
-0.030147185549139977,
-0.006320727989077568,
-0.004934975411742926,
0.04932147264480591,
-0.0024462772998958826,
0.013225922361016273,
-0.002020888961851597,
-0.02590508572757244,
0.03388023376464844,
0.023152435198426247,
0.005778681952506304,
0.0027267271652817726,
0.029487302526831627,
-0.004465987905859947,
0.016657309606671333,
-0.016647882759571075,
0.032880984246730804,
-0.024924689903855324,
0.06055832281708717,
0.06889168918132782,
-0.05192329362034798,
0.01394236646592617,
0.0008967326721176505,
0.030505407601594925,
0.039253558963537216,
-0.001626137993298471,
-0.035256557166576385,
-0.01983417011797428,
-0.009384466335177422,
-0.025358326733112335,
0.04072415456175804,
-0.025584571063518524,
-0.017345473170280457,
-0.0038084625266492367,
0.021832671016454697,
0.02943074144423008,
0.021794963628053665,
-0.05064123868942261,
-0.012113549746572971,
-0.013612424954771996,
0.031202996149659157,
-0.016921263188123703,
-0.03793379291892052,
0.016638455912470818,
0.019985001534223557,
0.039706047624349594,
0.0025546865072101355,
-0.01641221158206463,
0.011529083363711834,
-0.010247026570141315,
0.019777609035372734,
0.017006104812026024,
-0.019739901646971703,
-0.004638028331100941,
-0.03531311824917793,
0.02164413221180439,
-0.0054298872128129005,
0.04381617158651352,
0.03744359686970711,
0.0230958741158247,
-0.01282056700438261,
0.009445740841329098,
-0.01710980013012886,
-0.042873483151197433,
0.014376003295183182,
0.019080020487308502,
0.02352951094508171,
-0.010652382858097553,
0.003935725428164005,
-0.0514708049595356,
-0.013188214972615242,
0.03346544876694679,
-0.023510657250881195,
-0.028657738119363785,
0.019626779481768608,
-0.010454418137669563,
-0.07435928285121918,
-0.006056774873286486,
0.00947873480618,
-0.0009856988908722997,
0.015544936992228031,
-0.009516443125903606,
-0.004682806320488453,
-0.0373116210103035,
-0.009294910356402397,
0.003146223723888397,
-0.020267806947231293,
-0.025000104680657387,
-0.0031320832204073668,
-0.03821660205721855,
-0.027658486738801003,
-0.028393784537911415,
0.020701443776488304,
0.01816561259329319,
0.0017392607405781746,
0.044494908303022385,
-0.020135831087827682,
-0.005830529611557722,
-0.0158371701836586
] |
The use of observed wearable sensor data (e.g., photoplethysmograms [PPG]) to
infer health measures (e.g., glucose level or blood pressure) is a very active
area of research. Such technology can have a significant impact on health
screening, chronic disease management and remote monitoring. A common approach
is to collect sensor data and corresponding labels from a clinical grade device
(e.g., blood pressure cuff), and train deep learning models to map one to the
other. Although well intentioned, this approach often ignores a principled
analysis of whether the input sensor data has enough information to predict the
desired metric. We analyze the task of predicting blood pressure from PPG pulse
wave analysis. Our review of the prior work reveals that many papers fall prey
data leakage, and unrealistic constraints on the task and the preprocessing
steps. We propose a set of tools to help determine if the input signal in
question (e.g., PPG) is indeed a good predictor of the desired label (e.g.,
blood pressure). Using our proposed tools, we have found that blood pressure
prediction using PPG has a high multi-valued mapping factor of 33.2% and low
mutual information of 9.8%. In comparison, heart rate prediction using PPG, a
well-established task, has a very low multi-valued mapping factor of 0.75% and
high mutual information of 87.7%. We argue that these results provide a more
realistic representation of the current progress towards to goal of wearable
blood pressure measurement via PPG pulse wave analysis. | [
-0.009593253023922443,
0.0471995547413826,
-0.02075733058154583,
-0.03311822935938835,
0.06399241834878922,
0.022702163085341454,
0.024703094735741615,
0.0025946663226932287,
-0.0176998320966959,
-0.0022674112115055323,
0.017989687621593475,
-0.01689571887254715,
0.07117333263158798,
-0.0213183406740427,
0.015399696305394173,
-0.0065030287951231,
-0.019654013216495514,
-0.03496955707669258,
-0.012781654484570026,
-0.02158014476299286,
0.008831216022372246,
-0.03717619180679321,
-0.02790084481239319,
-0.05621309578418732,
-0.009527802467346191,
0.002805044874548912,
0.051164016127586365,
0.01556799840182066,
-0.012351547367870808,
0.015053740702569485,
0.05022900179028511,
0.006825609132647514,
-0.06676006317138672,
0.027938246726989746,
-0.06481523811817169,
-0.021860649809241295,
0.018055139109492302,
0.023917682468891144,
0.016811568289995193,
-0.008036453276872635,
-0.00447170902043581,
-0.04413270577788353,
-0.006138373166322708,
-0.006302000489085913,
-0.01342681422829628,
-0.05262263864278793,
-0.03904622420668602,
0.021617544814944267,
0.015091140754520893,
0.013688618317246437,
0.010378665290772915,
-0.013576416298747063,
0.00226624240167439,
-0.04185126721858978,
-0.01524074375629425,
0.017643731087446213,
0.03293122723698616,
0.006222524214535952,
0.0829545259475708,
0.017550230026245117,
-0.004791951738297939,
0.06672266870737076,
-0.020289823412895203,
-0.005404386203736067,
0.013894321396946907,
-0.026947129517793655,
-0.031023794785141945,
0.0244038887321949,
0.024572191759943962,
0.0430854894220829,
-0.04431970790028572,
0.0060635716654360294,
0.016811568289995193,
0.0820569097995758,
0.003167363116517663,
0.03706399351358414,
0.002254554769024253,
0.049331389367580414,
0.013445514254271984,
-0.02234685607254505,
0.0410284548997879,
0.06575024873018265,
-0.016129007562994957,
0.0504160039126873,
0.06571284681558609,
0.024123385548591614,
0.012183244340121746,
-0.06406722217798233,
-0.01392237190157175,
0.0021867661271244287,
-0.01997191831469536,
0.111378975212574,
-0.03276292234659195,
0.06129957735538483,
0.016437562182545662,
0.0028073822613805532,
0.014679734595119953,
-0.035867173224687576,
0.018382392823696136,
0.003165025496855378,
0.002113133668899536,
0.04824677109718323,
-0.02782604470849037,
0.0201589222997427,
0.028218749910593033,
-0.09080865234136581,
-0.04813456907868385,
0.0036652584094554186,
0.049518391489982605,
0.1641138195991516,
-0.04334729164838791,
0.026367420330643654,
-0.024067284539341927,
-0.00436651986092329,
-0.0774192363023758,
0.04252447932958603,
-0.009677404537796974,
-0.0374566987156868,
0.013389414176344872,
-0.05856933444738388,
0.04293588548898697,
0.08878901600837708,
-0.025507207959890366,
0.02849925495684147,
-0.030967693775892258,
0.04611493647098541,
0.005194007884711027,
-0.05108921602368355,
0.006334726233035326,
-0.009004193358123302,
0.03354833647608757,
0.08392693847417831,
0.0015755001222714782,
-0.02459089271724224,
0.03538096323609352,
-0.005273484159260988,
0.014632984064519405,
0.044656313955783844,
-0.004651699215173721,
-0.01364186778664589,
-0.04394569993019104,
-0.03624117746949196,
-0.036110278218984604,
-0.0032234638929367065,
0.057671722024679184,
-0.0008263194467872381,
-0.030200982466340065,
0.06399241834878922,
-0.09058424830436707,
0.00721364002674818,
-0.03807380795478821,
0.03960723057389259,
0.0062833004631102085,
0.00864888820797205,
0.021112637594342232,
-0.0050537558272480965,
0.04753616079688072,
-0.05022900179028511,
-0.06489003449678421,
-0.029621273279190063,
-0.02055162750184536,
-0.02524540387094021,
0.06743327528238297,
0.027134133502840996,
0.04660114273428917,
0.01588590443134308,
0.013071509078145027,
-0.030013978481292725,
-0.06489003449678421,
0.031023794785141945,
-0.021804548799991608,
-0.024104684591293335,
-0.001190975308418274,
-0.0006989236571826041,
0.010677870362997055,
0.03280032426118851,
0.059691354632377625,
0.017007920891046524,
-0.04061704874038696,
-0.0254324059933424,
-0.017129473388195038,
0.00884991604834795,
0.012342196889221668,
-0.025769012048840523,
0.01526879332959652,
-0.0032982651609927416,
0.05550248548388481,
-0.01746607944369316,
0.033866241574287415,
0.012379597872495651,
-0.023076169192790985,
-0.00038481707451865077,
0.036484282463788986,
0.010752671398222446,
-0.002480127150192857,
-0.04704995080828667,
-0.010799422860145569,
-0.02098173461854458,
0.023898981511592865,
0.025750311091542244,
-0.07951366901397705,
-0.07506299763917923,
0.01455818209797144,
0.048732977360486984,
-0.022215954959392548,
0.03291252627968788,
0.02214115299284458,
-0.011444582603871822,
0.012173894792795181,
-0.052360836416482925,
-0.029602572321891785,
-0.013669918291270733,
-0.04704995080828667,
-0.059504348784685135,
-0.019597912207245827,
-0.03212711215019226,
0.05617569759488106,
0.019448310136795044,
0.0032328141387552023,
0.029172465205192566,
0.01687701977789402,
0.024067284539341927,
0.015193992294371128,
-0.020233722403645515,
-0.012903206050395966,
0.027564240619540215,
-0.05527808144688606,
0.024029884487390518,
0.023917682468891144,
0.012884506024420261,
0.057484716176986694,
-0.0013172022299841046,
0.024310387670993805,
-0.037512797862291336,
-0.01952311210334301,
-0.015044390223920345,
0.011323031038045883,
0.025899913161993027,
-0.04233747720718384,
-0.05651230365037918,
0.006264599971473217,
-0.022421658039093018,
-0.006750807631760836,
-0.01293125655502081,
0.02765774168074131,
-0.008078528568148613,
-0.021019134670495987,
0.07337997108697891,
-0.0056848907843232155,
0.03904622420668602,
-0.027358537539839745,
-0.023057468235492706,
0.001764840679243207,
0.008419809862971306,
-0.0549788773059845,
-0.004780263639986515,
0.04005603864789009,
-0.02113133668899536,
0.05045340582728386,
-0.0098550571128726,
0.06204758957028389,
0.01666196621954441,
-0.008471235632896423,
0.020906934514641762,
0.012258045375347137,
-0.0014188851928338408,
0.06515184044837952,
0.013772769831120968,
0.06129957735538483,
-0.016718067228794098,
-0.01974751614034176,
-0.00998595915734768,
0.001555631053633988,
0.008242156356573105,
-0.021692346781492233,
-0.023861581459641457,
0.0060401964001357555,
-0.07667122781276703,
0.005666190292686224,
0.018831200897693634,
0.0012914893450215459,
0.04499292001128197,
0.021898049861192703,
-0.0035927947610616684,
-0.019616613164544106,
-0.01711077243089676,
0.01688637025654316,
-0.02769514173269272,
-0.03517526015639305,
-0.04551652818918228,
0.012791004031896591,
-0.0419260710477829,
-0.00442729564383626,
0.014978938736021519,
0.018419794738292694,
-0.010677870362997055,
-0.08041128516197205,
-0.009696104563772678,
-0.01007011067122221,
0.048471175134181976,
-0.030967693775892258,
-0.0022685800213366747,
-0.021598845720291138,
0.04244967922568321,
0.0054791877046227455,
-0.00432210648432374,
0.029995279386639595,
0.05288444459438324,
-0.028966762125492096,
-0.03068719059228897,
0.021000435575842857,
-0.015306194312870502,
-0.0197101142257452,
-0.04450671002268791,
-0.008031778037548065,
0.01766243204474449,
0.008106579072773457,
0.040953654795885086,
0.010266464203596115,
-0.03511916100978851,
0.0342402458190918,
-0.02666662633419037,
-0.09454870969057083,
0.035081759095191956,
-0.04185126721858978,
-0.014539482071995735,
-0.024160785600543022,
0.03964463248848915,
-0.0299017783254385,
-0.046264540404081345,
-0.006012145895510912,
0.007582970894873142,
-0.062346793711185455,
0.013828870840370655,
0.03809250891208649,
0.008924717083573341,
-0.06956510990858078,
-0.03294992446899414,
0.014932188205420971,
0.01687701977789402,
-0.001954181119799614,
-0.008770439773797989,
-0.07988767325878143,
-0.03272552415728569,
0.005834493320435286,
-0.019859716296195984,
-0.00700793694704771,
0.02767644263803959,
-0.05494147539138794,
-0.0011389650171622634,
0.0011226022616028786,
0.023730678483843803,
-0.02664792537689209,
-0.00914444588124752,
0.0026086915750056505,
-0.00335670355707407,
-0.034464649856090546,
-0.057447317987680435,
-0.02118743769824505,
-0.061336979269981384,
-0.001801072503440082,
-0.055839091539382935,
0.002996722934767604,
0.03229541704058647,
-0.05366985872387886,
-0.005296859424561262,
-0.012566600926220417,
0.015306194312870502,
0.018550695851445198,
-0.006839634384959936,
-0.00893874280154705,
0.008929392322897911,
-0.0006358101381920278,
0.01974751614034176,
-0.019242607057094574,
0.013295912183821201,
-0.04570353031158447,
0.021449241787195206,
-0.051126617938280106,
0.05733511596918106,
-0.09821397066116333,
-0.008835891261696815,
0.002557265805080533,
-0.009555852971971035,
-0.002814394887536764,
0.02483399584889412,
0.022309456020593643,
0.016792867332696915,
0.02034592442214489,
0.04510511830449104,
-0.025376304984092712,
-0.03582977131009102,
0.027994347736239433,
-0.052173834294080734,
0.03523136302828789,
0.015287494286894798,
0.016175758093595505,
0.04338469356298447,
0.04641414061188698,
-0.007171564269810915,
-0.0004566963471006602,
-0.019186506047844887,
-0.007330516818910837,
-0.012155193835496902,
0.020794732496142387,
0.03291252627968788,
-0.009892458096146584,
0.01914910599589348,
-0.015820452943444252,
-0.06204758957028389,
0.03382883965969086,
-0.003443192457780242,
0.00015646890096832067,
-0.026704026386141777,
-0.04043004661798477,
-0.014707785099744797,
-0.04985499754548073,
0.017428677529096603,
0.002204297808930278,
0.018186040222644806,
-0.05565208941698074,
0.04742395877838135,
0.07438978552818298,
-0.04334729164838791,
-0.019373510032892227,
0.02644222229719162,
0.0011968191247433424,
0.030967693775892258,
0.04906958341598511,
-0.03429634869098663,
0.012604000978171825,
0.006750807631760836,
-0.004885452799499035,
-0.043422091752290726,
0.02707803249359131,
-0.022683462128043175,
0.03272552415728569,
-0.028723658993840218,
-0.054417867213487625,
-0.03515656292438507,
-0.017980337142944336,
-0.006381476763635874,
-0.024964898824691772,
0.006306675728410482,
0.007110788486897945,
-0.04779796302318573,
0.005161282606422901,
-0.0013931721914559603,
-0.025787711143493652,
0.0027676441241055727,
-0.05434306710958481,
0.030761990696191788,
-0.07379137724637985,
0.07020092010498047,
-0.005329585168510675,
-0.028630157932639122,
-0.01933610811829567,
-0.05531548336148262,
0.029733475297689438,
-0.027208933606743813,
-0.02255255915224552,
0.06380541622638702,
-0.0009472870151512325,
0.004497421905398369,
0.0467507466673851,
0.02743333764374256,
-0.060962975025177,
-0.043197691440582275,
0.009415600448846817,
0.04173906520009041,
-0.02724633552134037,
-0.00915379635989666,
-0.015988755971193314,
-0.022814365103840828,
0.004460021387785673,
0.016100957989692688,
-0.004174841567873955,
-0.008401108905673027,
0.03111729770898819,
-0.03375403955578804,
0.03562406823039055,
-0.012136493809521198,
-0.012071042321622372,
0.006100972183048725,
0.014474031515419483,
0.006180448457598686,
-0.015287494286894798,
0.01229544635862112,
0.010238413698971272,
-0.04125285893678665,
-0.02518930286169052,
-0.037942904978990555,
-0.040804050862789154,
-0.03091159276664257,
0.004268343094736338,
0.012239345349371433,
0.0043735322542488575,
0.01993451826274395,
0.0349508598446846,
0.017596980556845665,
0.06219719350337982,
-0.0040065390057861805,
-0.037138793617486954,
0.008798490278422832,
-0.03341743350028992,
-0.0033052777871489525,
-0.05120141804218292,
-0.03676478564739227,
0.014819986186921597,
0.005558663979172707,
0.02661052532494068,
0.01950441114604473,
-0.008630188181996346,
-0.029733475297689438,
0.01691441982984543,
0.024104684591293335,
-0.005245433654636145,
0.014156126417219639,
-0.006699381861835718,
0.025282803922891617,
0.004104715306311846,
0.02178584784269333,
-0.024029884487390518,
0.04345949366688728,
-0.08108449727296829,
0.02743333764374256,
-0.00778399920091033,
0.014071974903345108,
0.030948994681239128,
0.05352025479078293,
-0.036689985543489456,
0.012248695828020573,
-0.031173396855592728,
-0.03554926812648773,
-0.00447170902043581,
-0.006400177255272865,
-0.026797527447342873,
0.03231411427259445,
-0.03136039897799492,
-0.021449241787195206,
-0.04633934050798416,
0.048919979482889175,
0.05535288527607918,
-0.013202411122620106,
0.0013966785045340657,
0.03050018660724163,
0.06047676503658295,
-0.025077100843191147,
-0.013623167760670185,
0.006058896891772747,
-0.009476376697421074,
-0.0016292635118588805,
0.03175310790538788,
0.006133697926998138,
0.0009215740719810128,
-0.01567085087299347,
0.02584381215274334,
-0.033249132335186005,
-0.042038269340991974,
-0.020271124318242073,
-0.003812523325905204,
-0.015596048906445503,
-0.004955579061061144,
-0.02541370503604412,
-0.01683961972594261,
-0.04491811618208885,
-0.035044360905885696,
0.04581573233008385,
-0.00700793694704771,
-0.010341265238821507,
-0.03051888756453991,
0.01272555347532034,
-0.031229497864842415,
-0.0030364610720425844,
0.0036862962879240513,
0.007914901711046696,
0.03616637736558914,
-0.0009069644729606807,
0.0007789843366481364,
0.04529212415218353,
-0.022870464250445366,
0.046077534556388855,
0.01974751614034176,
0.014595583081245422,
-0.011257579550147057,
-0.030986394733190536,
0.03278162330389023,
-0.048508573323488235,
0.008050478994846344,
-0.002802707254886627,
0.004100040532648563,
0.031061196699738503,
-0.007470769342035055,
-0.005465162452310324,
-0.035081759095191956,
-0.044618912041187286,
0.03726969659328461,
0.043609097599983215,
0.006432902533560991,
-0.009929858148097992,
-0.011865339241921902,
0.03309952840209007,
0.045254722237586975,
0.1323981136083603,
-0.023150969296693802,
0.0010366977658122778,
0.023506274446845055,
0.022103752940893173,
0.010621769353747368,
0.02565681003034115,
0.04065445065498352,
0.009406249970197678,
0.0016830269014462829,
-0.027751242741942406,
0.008489935658872128,
-0.040804050862789154,
0.008330983109772205,
0.0004160816315561533,
0.008251506835222244,
-0.02298266626894474,
0.027377236634492874,
-0.027321135625243187,
0.06750807911157608,
0.011594184674322605,
0.002005607122555375,
0.03900882229208946,
-0.028405753895640373,
-0.049144383519887924,
-0.0021517029963433743,
-0.042038269340991974,
-0.05322105064988136,
0.01563344895839691,
-0.0047194878570735455,
-0.004462358541786671,
0.031846608966588974,
0.004829352255910635,
-0.014249627478420734,
0.02139314077794552,
-0.009387549944221973,
0.033267829567193985,
-0.006236549466848373,
0.026517024263739586,
-0.048882581293582916,
0.054380469024181366,
-0.003978488501161337,
0.026479622349143028,
-0.02442258968949318,
0.011594184674322605,
0.04895738139748573,
0.0030271108262240887,
0.04532952234148979,
0.028835861012339592,
0.011323031038045883,
0.025937313213944435,
-0.03403454273939133,
-0.0278447438031435,
0.04338469356298447,
0.002557265805080533,
0.020495526492595673,
0.04293588548898697,
0.04794756695628166,
0.035923272371292114,
0.015773702412843704,
0.03435244783759117,
0.00956987775862217,
0.03803640604019165,
0.008508635684847832,
0.0035764321219176054,
0.006086947396397591,
0.03465165197849274,
0.03433374688029289,
-0.0471995547413826,
-0.016138358041644096,
0.02096303552389145,
-0.019635314121842384,
-0.03313693031668663,
0.011407182551920414,
-0.0018910677172243595,
-0.028723658993840218,
-0.03968203440308571,
-0.059279944747686386,
-0.004885452799499035,
-0.00873771496117115,
0.04417010396718979,
0.024852696806192398,
0.007971002720296383,
0.012893855571746826,
0.022646062076091766,
-0.013913022354245186,
0.03824210911989212,
-0.007896200753748417,
-0.04185126721858978,
0.015418396331369877,
-0.01208974327892065,
0.016783518716692924,
-0.014417930506169796,
-0.0015112179098650813,
-0.027751242741942406,
0.007755948696285486,
0.02640482224524021,
-0.019878417253494263,
-0.0127162029966712,
-0.008167355321347713,
0.03990643844008446,
-0.01526879332959652,
0.03927062824368477,
0.021411841735243797,
0.0011921440018340945,
0.002002100693061948,
0.013688618317246437,
-0.02438518963754177,
0.01608225703239441,
-0.019027553498744965,
0.04226267337799072,
0.018195390701293945,
-0.004064977169036865,
-0.0004464696394279599,
-0.00529218465089798,
-0.026554424315690994,
0.014492731541395187,
-0.010425416752696037,
0.03186530992388725,
0.004834027029573917,
-0.033866241574287415,
-0.004312756471335888,
0.025974715128540993,
-0.0047405255027115345,
-0.0034572177100926638,
-0.0004891296848654747,
0.009233272634446621,
0.03885922208428383,
0.004450670909136534,
-0.027339836582541466,
-0.0005119206616654992,
0.014202876947820187,
0.019822316244244576,
0.01270685251802206,
0.04906958341598511,
0.006171098444610834,
-0.004583910573273897,
-0.038148608058691025,
-0.02481529675424099,
-0.020701231434941292,
-0.0025222026742994785,
-0.015081791207194328,
0.018840551376342773,
0.02320707030594349,
0.02806914784014225,
-0.04028044268488884,
-0.04125285893678665,
0.0549788773059845,
-0.04948098957538605,
0.03521266207098961,
-0.012127143330872059,
-0.012622701935470104,
0.017017271369695663,
0.027769943699240685,
-0.030369285494089127,
0.01848524436354637,
-0.02728373557329178,
0.002259229775518179,
0.02565681003034115,
0.0068115838803350925,
0.04409530386328697,
0.05067780986428261,
0.03848521411418915,
-0.051986828446388245,
0.00944832619279623,
0.016755467280745506,
-0.02563810907304287,
-0.007283766288310289,
0.04783536493778229,
0.044020503759384155,
-0.0593547485768795,
0.015418396331369877,
0.01849459484219551,
0.04678814858198166,
0.024684393778443336,
0.015165941789746284,
0.03859741613268852,
-0.03194011002779007,
0.025582008063793182,
-0.02625521831214428,
-0.011061226949095726,
-0.013024757616221905,
0.015119191259145737,
-0.0007258053519763052,
-0.04072925075888634,
-0.031809207051992416,
0.00864888820797205,
0.026554424315690994,
0.02782604470849037,
-0.010733971372246742,
-0.03152870386838913,
0.013454864732921124,
-0.025974715128540993,
-0.006989236455410719,
0.02158014476299286,
-0.050154201686382294,
-0.014763886108994484,
0.02520800195634365,
-0.030855491757392883,
0.005965395364910364,
0.018223440274596214,
-0.031042495742440224,
-0.008821865543723106,
-0.042038269340991974,
0.021430542692542076,
0.018064487725496292,
-0.009219246916472912,
-0.004079002421349287,
0.01087422389537096,
-0.003875636961311102,
-0.0006650293944403529,
-0.005825142841786146,
-0.045628730207681656,
-0.03841041401028633,
0.04989239573478699,
-0.021075235679745674,
-0.032650720328092575,
0.006624580826610327,
-0.058905940502882004,
-0.0022148166317492723,
-0.0235997773706913,
0.02094433456659317,
-0.05325844883918762,
0.008681613951921463,
-0.022851765155792236,
0.04173906520009041,
0.03923322632908821,
0.019074304029345512,
0.024497391656041145,
0.003183725755661726,
0.018971452489495277,
-0.005703591275960207,
0.02539500594139099,
-0.02339407429099083,
0.0467507466673851,
0.008901341818273067,
0.035250063985586166,
-0.04570353031158447,
0.000953130831476301,
-0.03783070296049118,
0.0012938269646838307,
0.02156144380569458,
0.013529665768146515,
0.04091625288128853,
0.05232343450188637,
0.022515159100294113,
0.03596067428588867,
0.012837754562497139,
-0.03741929680109024,
0.012791004031896591,
0.009995309635996819,
-0.026517024263739586,
-0.0030294484458863735,
0.057073310017585754,
-0.016755467280745506,
0.009640003554522991,
0.014305728487670422,
0.011612885631620884,
-0.0054090614430606365,
0.014109374955296516,
0.0019097679760307074,
0.004703124985098839,
-0.05576429143548012,
0.008316957391798496,
-0.013108909130096436,
-0.019074304029345512,
-0.04521732032299042,
-0.03994383662939072,
0.016568465158343315,
0.003148662857711315,
0.019579213112592697,
-0.0012669452698901296,
0.022477759048342705,
-0.04293588548898697,
0.030462786555290222,
-0.0035133184865117073,
-0.01150068361312151,
0.029172465205192566,
-0.005829818081110716,
0.03558666631579399,
0.009602603502571583,
0.024871397763490677,
-0.0027676441241055727,
-0.007807374466210604,
-0.014212226495146751,
-0.013660567812621593,
-0.016615215688943863,
0.03644688054919243,
0.015222042798995972,
0.019008854404091835,
0.024665694683790207,
0.021243538707494736,
0.009957908652722836,
-0.017587630078196526,
-0.004852727521210909,
-0.0022872802801430225,
-0.0023784441873431206,
-0.020289823412895203,
-0.025133201852440834,
-0.01853199675679207,
-0.01850394532084465,
-0.004223929718136787,
-0.017409978434443474,
0.003709671786054969,
-0.00271855597384274,
0.012426348403096199,
-0.030462786555290222,
-0.06384281814098358,
-0.03358573466539383,
-0.02296396717429161,
-0.025750311091542244,
0.030032679438591003,
0.025544608011841774,
-0.03953243046998978,
0.015558648854494095,
0.030013978481292725,
-0.0038218735717236996,
0.006302000489085913,
0.011930790729820728,
-0.03532486408948898,
-0.0017414652975276113,
-0.02118743769824505,
-0.011893389746546745,
-0.012099092826247215,
0.030350584536790848,
-0.0032865775283426046,
0.023655878379940987,
0.011846639215946198,
0.03642818331718445,
0.008980818092823029,
0.0272650346159935,
0.048508573323488235,
0.03192140907049179,
-0.00629732571542263,
0.045441724359989166,
-0.032837722450494766,
-0.03354833647608757,
-0.003793823067098856,
-0.003165025496855378,
-0.031229497864842415,
-0.01392237190157175,
0.011453933082520962,
-0.041178058832883835,
0.051351018249988556,
0.02217855490744114,
0.021299639716744423,
-0.021486643701791763,
0.0033964416943490505,
-0.039345428347587585,
0.011668986640870571,
0.00965870451182127,
-0.031846608966588974,
0.014333778992295265,
-0.011173428036272526,
-0.0036465581506490707,
-0.016362762078642845,
0.005525938235223293,
-0.014268327504396439,
-0.014576883055269718,
-0.019223906099796295,
-0.010762021876871586,
-0.007554920390248299,
0.0012143506901338696,
-0.05823272839188576,
-0.035923272371292114,
0.001102148904465139,
-0.02137444168329239,
-0.0034922808408737183,
-0.005783067550510168,
0.0041795168071985245,
0.05067780986428261,
0.024441290646791458,
0.0010992268798872828,
-0.0005490290932357311,
-0.02462829276919365,
-0.029228566214442253,
0.027788642793893814,
0.023880280554294586,
-0.03388494253158569,
-0.021879348903894424,
-0.015100491233170033,
-0.01107057649642229,
-0.02137444168329239,
0.018008386716246605,
0.0017835409380495548,
-0.057484716176986694,
0.047274354845285416,
0.026161717250943184,
-0.012660101987421513,
0.05883114039897919,
-0.06354361772537231,
-0.008906017057597637,
-0.002564278431236744,
-0.017980337142944336,
0.017138823866844177,
0.008335658349096775,
-0.029957877472043037,
0.04132765904068947,
-0.015128541737794876,
0.04244967922568321,
-0.002809719881042838,
-0.004820001777261496,
0.022664761170744896,
0.007732573430985212,
-0.016362762078642845,
-0.016344061121344566,
0.030406685546040535,
0.03338003158569336,
-0.016577813774347305,
0.0158672034740448,
-0.01792423613369465,
-0.00018846394959837198,
-0.00873771496117115,
-0.05860673636198044,
-0.07102373242378235,
0.0419260710477829,
-0.030070079490542412,
-0.004057964775711298,
0.016783518716692924,
0.043422091752290726,
0.004460021387785673
] |
Drowsy driving has a crucial influence on driving safety, creating an urgent
demand for driver drowsiness detection. Electroencephalogram (EEG) signal can
accurately reflect the mental fatigue state and thus has been widely studied in
drowsiness monitoring. However, the raw EEG data is inherently noisy and
redundant, which is neglected by existing works that just use single-channel
EEG data or full-head channel EEG data for model training, resulting in limited
performance of driver drowsiness detection. In this paper, we are the first to
propose an Interpretability-guided Channel Selection (ICS) framework for the
driver drowsiness detection task. Specifically, we design a two-stage training
strategy to progressively select the key contributing channels with the
guidance of interpretability. We first train a teacher network in the first
stage using full-head channel EEG data. Then we apply the class activation
mapping (CAM) to the trained teacher model to highlight the high-contributing
EEG channels and further propose a channel voting scheme to select the top N
contributing EEG channels. Finally, we train a student network with the
selected channels of EEG data in the second stage for driver drowsiness
detection. Experiments are designed on a public dataset, and the results
demonstrate that our method is highly applicable and can significantly improve
the performance of cross-subject driver drowsiness detection. | [
0.01142103411257267,
0.009806119836866856,
-0.01668745093047619,
-0.03132934123277664,
-0.021855177357792854,
-0.0005318563780747354,
0.037394244223833084,
0.037645451724529266,
-0.013296129181981087,
0.021729571744799614,
-0.0004012053250335157,
-0.03339284285902977,
0.035438403487205505,
-0.035330742597579956,
-0.0031064674258232117,
0.0377889983355999,
-0.0014354796148836613,
-0.012416898272931576,
0.05544539913535118,
0.006360969040542841,
0.008245036005973816,
-0.0010480122873559594,
0.018221618607640266,
-0.016229890286922455,
0.0263231061398983,
0.04963170737028122,
0.07679815590381622,
0.019199538975954056,
-0.0653860941529274,
0.03743012994527817,
-0.022231990471482277,
0.01753079518675804,
-0.018589461222290993,
-0.027220280840992928,
-0.06143852695822716,
-0.024277547374367714,
0.010819926857948303,
0.02422371692955494,
0.02702290378510952,
0.03202913701534271,
0.01218363270163536,
0.008487273007631302,
0.020958002656698227,
-0.018822725862264633,
-0.01936103031039238,
-0.04909340292215347,
-0.054584112018346786,
-0.038004320114851,
-0.017369301989674568,
-0.02912229113280773,
0.04449986666440964,
-0.023470090702176094,
0.01785377785563469,
-0.009375476278364658,
0.011062164790928364,
0.017485935240983963,
0.04765792191028595,
0.019055990502238274,
0.07744412124156952,
0.06764697283506393,
0.048411548137664795,
0.018930386751890182,
-0.04661719873547554,
0.04091116786003113,
-0.038004320114851,
-0.0164541844278574,
0.042274873703718185,
0.00044101744424551725,
0.02250114269554615,
-0.019181596115231514,
-0.05903409793972969,
0.02343420311808586,
-0.01768331415951252,
0.04385390132665634,
0.004660822916775942,
-0.03061160258948803,
-0.014552174136042595,
0.06459657847881317,
-0.01914570853114128,
0.009151182137429714,
-0.00160930713173002,
0.009868921712040901,
0.015198140405118465,
0.0239904522895813,
0.02503117546439171,
-0.04826800152659416,
-0.008177747949957848,
-0.057132087647914886,
0.004189806059002876,
-0.012102887034416199,
0.021980781108140945,
0.01373574510216713,
-0.028243061155080795,
0.0039430828765034676,
0.0025614339392632246,
-0.05799337476491928,
0.02842249535024166,
0.00867119338363409,
-0.0711280107498169,
-0.04826800152659416,
-0.007702244911342859,
0.013484536670148373,
0.0036178571172058582,
-0.029247896745800972,
0.04582768678665161,
-0.03319546580314636,
-0.0530768558382988,
0.016911743208765984,
0.03394909203052521,
0.09230133891105652,
-0.0670727863907814,
0.014193303883075714,
-0.025479761883616447,
0.028099512681365013,
-0.020096713677048683,
0.028960799798369408,
-0.01810498535633087,
-0.04421276971697807,
0.01265016384422779,
0.022537028416991234,
0.03412852808833122,
0.05544539913535118,
-0.050134122371673584,
0.06043368950486183,
-0.057921599596738815,
0.058029260486364365,
0.02169368416070938,
-0.015323744155466557,
-0.03750190511345863,
0.04345914348959923,
0.007881679572165012,
0.03192147612571716,
-0.02088622748851776,
0.012165689840912819,
0.053040970116853714,
0.021603967994451523,
0.02250114269554615,
0.05383048579096794,
-0.024044282734394073,
-0.030683375895023346,
-0.04855509474873543,
-0.005010720808058977,
0.015386546961963177,
0.07227639853954315,
0.020688848569989204,
-0.0030660945922136307,
0.02203461155295372,
0.07543445378541946,
-0.021873120218515396,
0.022303763777017593,
-0.014561145566403866,
0.052717987447977066,
-0.06420182436704636,
0.020688848569989204,
0.006477601360529661,
0.023344486951828003,
0.017656398937106133,
-0.014794411137700081,
-0.01867917738854885,
-0.04582768678665161,
0.04213132709264755,
-0.04252608120441437,
0.011403091251850128,
-0.028494268655776978,
0.021962838247418404,
0.024080170318484306,
0.0063430252484977245,
-0.011672243475914001,
-0.006742268335074186,
0.03943980112671852,
-0.0454329289495945,
-0.0021498550195246935,
0.023147108033299446,
0.013009034097194672,
0.04812445119023323,
0.04392567649483681,
0.045289382338523865,
-0.005468280054628849,
-0.06829293817281723,
0.02863781712949276,
-0.05354338884353638,
0.007886165753006935,
0.040659960359334946,
-0.019091878086328506,
0.05806514993309975,
-0.011358232237398624,
0.05354338884353638,
-0.014408626593649387,
0.013071835972368717,
0.005934810731559992,
0.015126366168260574,
0.029732370749115944,
0.06258691102266312,
-0.05174903944134712,
-0.0025053604040294886,
-0.004867172800004482,
-0.010281622409820557,
-0.002628721995279193,
0.03281865268945694,
-0.006809556391090155,
-0.0424543097615242,
-0.0032545013818889856,
-0.016041483730077744,
-0.015269913710653782,
-0.044105108827352524,
-0.025551537051796913,
0.035420458763837814,
0.021765459328889847,
-0.0199531652033329,
0.0033688910771161318,
-0.008568018674850464,
-0.017503879964351654,
-0.0337517149746418,
0.0015722987009212375,
-0.021657798439264297,
-0.013125666417181492,
0.042490195482969284,
-0.05139016732573509,
0.04625833034515381,
0.007904109545052052,
0.03498981520533562,
0.0396910086274147,
0.045863572508096695,
-0.01693865843117237,
-0.05914175882935524,
-0.00759458402171731,
-0.019881391897797585,
0.0235598087310791,
-0.04220309853553772,
-0.04661719873547554,
-0.023631582036614418,
-0.05217968299984932,
0.024187831208109856,
0.013134637847542763,
0.0011175433173775673,
-0.028924914076924324,
0.027920078486204147,
-0.04177245497703552,
0.03238800913095474,
-0.04801679030060768,
-0.013349959626793861,
-0.060720786452293396,
-0.03872206062078476,
-0.01622091978788376,
0.04363857954740524,
0.013592197559773922,
0.0077919624745845795,
0.05996716022491455,
0.04600711911916733,
0.04428454488515854,
-0.04769380763173103,
-0.010003497824072838,
-0.015557009726762772,
0.00372327514924109,
-0.010209848172962666,
0.01717192493379116,
0.025695083662867546,
-0.0371430329978466,
0.011573554016649723,
-0.005122867878526449,
0.0647401288151741,
-0.029875919222831726,
-0.0579574890434742,
0.06854414939880371,
-0.0709126889705658,
-0.027866248041391373,
0.06922600418329239,
0.008769882842898369,
0.020150544121861458,
-0.0795973390340805,
0.0053606191650033,
0.015260942280292511,
-0.03421824425458908,
-0.060720786452293396,
0.0345950573682785,
-0.00657629081979394,
0.03897327184677124,
-0.03190353512763977,
-0.022806182503700256,
0.02551564946770668,
-0.013233327306807041,
0.05347161367535591,
0.04489462450146675,
0.004555404651910067,
-0.03224445879459381,
0.00681404210627079,
0.020670905709266663,
0.006311624310910702,
0.005961725953966379,
0.0028597444761544466,
0.0058675226755440235,
-0.020365865901112556,
-0.028261004015803337,
-0.023828960955142975,
0.01721678301692009,
-0.03197530657052994,
-0.0190021600574255,
-0.02564125321805477,
-0.005338189657777548,
-0.026125729084014893,
-0.028458382934331894,
-0.0403369776904583,
0.002657880075275898,
0.02657431550323963,
-0.030234787613153458,
0.029552936553955078,
0.011555610224604607,
0.054691772907972336,
-0.06201271712779999,
-0.007320945616811514,
-0.011663271114230156,
-0.02318299561738968,
-0.017225755378603935,
-0.04091116786003113,
-0.032764822244644165,
0.023218881338834763,
0.026861412450671196,
-0.029499106109142303,
0.009205012582242489,
-0.00012153913849033415,
0.02305739000439644,
-0.0024649875704199076,
-0.07665460556745529,
0.05257444083690643,
-0.024977345019578934,
-0.009366503916680813,
0.01073020976036787,
0.04299261420965195,
-0.01946869120001793,
0.002009671414270997,
-0.05996716022491455,
0.0030324505642056465,
-0.04650953784584999,
-0.018158815801143646,
-0.010775068774819374,
-0.022931786254048347,
-0.04008576646447182,
0.05368693545460701,
-0.03768133744597435,
-0.01287445705384016,
0.014166388660669327,
-0.038901496678590775,
-0.08799489587545395,
-0.0547635443508625,
-0.06470423936843872,
0.00928575824946165,
0.013708829879760742,
-0.013394818641245365,
0.00855456106364727,
-0.06043368950486183,
0.0008792312582954764,
-0.005540053825825453,
-0.004221206996589899,
0.003882523626089096,
-0.007365804631263018,
0.018625346943736076,
-0.018266476690769196,
-0.021137436851859093,
0.012775768525898457,
0.006491058971732855,
-0.0130538921803236,
-0.028817253187298775,
-0.0034765521995723248,
-0.027345886453986168,
-0.05505064129829407,
0.03289042413234711,
-0.03337490186095238,
-0.027525320649147034,
0.007527295965701342,
0.02540798857808113,
0.011654299683868885,
0.06086433306336403,
-0.031006358563899994,
-0.021837232634425163,
0.002761055249720812,
0.006329567637294531,
0.014247134327888489,
0.00715945428237319,
-0.024618474766612053,
0.04715550318360329,
0.020132601261138916,
-0.004573347978293896,
-0.025479761883616447,
-0.0024358294904232025,
-0.004052986856549978,
0.046904295682907104,
0.004620450083166361,
0.02969648316502571,
0.006513488478958607,
0.07730057835578918,
-0.01927131414413452,
-0.07044616341590881,
0.017988353967666626,
-0.039619237184524536,
0.05623491108417511,
0.02851221337914467,
0.022770294919610023,
0.012093915604054928,
0.08620055019855499,
-0.050492994487285614,
-0.06646270304918289,
0.0299297496676445,
-0.01836516708135605,
-0.04532526805996895,
-0.029481161385774612,
-0.0013446406228467822,
-0.073030024766922,
-0.004503817297518253,
0.04557647556066513,
0.031813815236091614,
-0.016095314174890518,
-0.030234787613153458,
-0.030216844752430916,
0.027507377788424492,
0.04460752755403519,
0.0034227215219289064,
-0.04640187695622444,
0.03350050374865532,
0.00855456106364727,
-0.01566467061638832,
-0.04022931680083275,
0.020258205011487007,
0.04859098419547081,
-0.007065251003950834,
-0.0007519445498473942,
0.03405675292015076,
-0.0007003570208325982,
-0.004160647746175528,
0.010461057536303997,
-0.014408626593649387,
0.023129165172576904,
-0.022411424666643143,
-0.03875795006752014,
-0.032298289239406586,
-0.01866123452782631,
-0.055947817862033844,
-0.008388583548367023,
0.046688973903656006,
-0.058854661881923676,
-0.013708829879760742,
0.0058271498419344425,
-0.0010031535057350993,
-0.040982943028211594,
-0.07084091752767563,
-0.03576138615608215,
-0.019881391897797585,
0.0026892812456935644,
0.019971109926700592,
0.003149083349853754,
-0.021083606407046318,
-0.06739576905965805,
-0.019217483699321747,
-0.02668197639286518,
-0.0073568327352404594,
0.00272516836412251,
-0.007015906274318695,
-0.0396910086274147,
-0.04281317815184593,
0.004898574203252792,
-0.00600209878757596,
0.03071926347911358,
0.060720786452293396,
-0.007527295965701342,
-0.0041830772534012794,
0.018822725862264633,
0.06488367915153503,
-0.04069584608078003,
-0.046330101788043976,
0.007294030394405127,
0.03179587423801422,
0.028817253187298775,
0.003884766483679414,
0.022931786254048347,
0.005486223381012678,
-0.0180421844124794,
0.039834558963775635,
-0.026717863976955414,
-0.04044463858008385,
0.020724736154079437,
-0.027794472873210907,
0.02899668738245964,
0.012811655178666115,
-0.009438278153538704,
0.030808979645371437,
-0.04729905351996422,
-0.015180196613073349,
0.028781365603208542,
0.061976831406354904,
-0.039619237184524536,
-0.038076095283031464,
0.017485935240983963,
-0.0027341400273144245,
0.0017483693081885576,
0.012560445815324783,
-0.023685412481427193,
-0.04403333738446236,
-0.017773032188415527,
-0.02284206822514534,
0.0630534365773201,
0.05928530544042587,
0.0043198964558541775,
0.02088622748851776,
0.013349959626793861,
-0.03513336181640625,
-0.014830298721790314,
0.013672943226993084,
0.003680659458041191,
0.021280985325574875,
-0.0034384222235530615,
0.0055938842706382275,
0.05975183844566345,
-0.02018643170595169,
0.003727761097252369,
-0.04313616082072258,
0.05659378319978714,
0.02131687104701996,
-0.040659960359334946,
0.01402284111827612,
-0.008837170898914337,
0.03933214023709297,
0.001203335588797927,
0.04403333738446236,
-0.009752289392054081,
0.030826924368739128,
-0.0717380940914154,
0.02445698343217373,
0.012668107636272907,
0.012129802256822586,
-0.02203461155295372,
0.00603350019082427,
-0.04166479408740997,
0.011322345584630966,
0.004804370924830437,
-0.0180421844124794,
0.020150544121861458,
0.005315760150551796,
-0.025766858831048012,
0.0050152069889009,
-0.005248472094535828,
-0.017019404098391533,
-0.04037286341190338,
0.06527843326330185,
0.004965862259268761,
0.011959339492022991,
0.006154618691653013,
-0.002314710756763816,
-0.021137436851859093,
-0.054584112018346786,
0.018329279497265816,
0.048878081142902374,
0.02853015623986721,
-0.016974546015262604,
-0.027507377788424492,
0.02691524289548397,
0.004506059922277927,
-0.05749095603823662,
0.016893800348043442,
-0.012515587732195854,
-0.03746601566672325,
-0.04008576646447182,
0.022411424666643143,
-0.03028861992061138,
0.04722727835178375,
0.030360393226146698,
0.002886659698560834,
0.004463444463908672,
0.029965635389089584,
0.07041027396917343,
-0.00047914739116095006,
0.03572549670934677,
-0.03387731686234474,
-0.02320093847811222,
-0.028960799798369408,
0.0006381155108101666,
0.0035415971651673317,
0.002581620356068015,
0.022429367527365685,
-0.052933309227228165,
0.016481099650263786,
0.012407926842570305,
0.0007239078404381871,
0.0006857779226265848,
0.059105873107910156,
0.035187192261219025,
-0.0249414574354887,
-0.009321645833551884,
-0.03746601566672325,
-0.04963170737028122,
-0.01700146123766899,
-0.0350257009267807,
-0.004611478187143803,
0.04026520252227783,
0.006648064590990543,
-0.005257443990558386,
-0.011430006474256516,
-0.028027739375829697,
0.0008837170898914337,
0.055840156972408295,
0.01619400456547737,
-0.08821021765470505,
0.022662634029984474,
0.06714455783367157,
0.003108710516244173,
0.011403091251850128,
0.035904932767152786,
0.01738724671304226,
-0.02286001294851303,
0.0022709735203534365,
-0.0190021600574255,
0.03976278379559517,
0.05706031247973442,
0.0030907669570297003,
0.01810498535633087,
-0.021747516468167305,
0.03278276324272156,
-0.018176760524511337,
0.04572002589702606,
0.012443813495337963,
0.01177990436553955,
-0.015305801294744015,
0.06646270304918289,
0.0028530156705528498,
0.035205136984586716,
-0.007729160133749247,
0.03829141706228256,
0.033339012414216995,
-0.017360331490635872,
-0.014229191467165947,
0.012596333399415016,
0.00956388283520937,
-0.02052735723555088,
0.004010370932519436,
-0.03073720633983612,
-0.02040175348520279,
0.005517624784260988,
-0.02294972911477089,
-0.043530918657779694,
-0.0009224077803082764,
-0.018733007833361626,
0.018625346943736076,
-0.034379735589027405,
0.00022639644157607108,
-0.03420029953122139,
0.027525320649147034,
-0.016696421429514885,
0.00808802992105484,
-0.016741281375288963,
-0.004414099734276533,
0.04252608120441437,
0.033590223640203476,
0.04859098419547081,
0.03319546580314636,
0.04396156221628189,
0.019091878086328506,
-0.025695083662867546,
-0.044715188443660736,
0.028924914076924324,
0.023685412481427193,
0.025138836354017258,
-0.03267510235309601,
0.00009329215390607715,
-0.011609440669417381,
0.02634105086326599,
-0.023218881338834763,
0.022214045748114586,
-0.00013030061381869018,
0.010344424284994602,
-0.019666070118546486,
0.003424964612349868,
0.05508652701973915,
-0.03466683253645897,
-0.04751437529921532,
-0.05605547875165939,
0.014067700132727623,
0.01334098819643259,
-0.03405675292015076,
0.027453547343611717,
0.04256197065114975,
0.017091179266572,
-0.010066300630569458,
-0.0030616088770329952,
-0.009770233184099197,
0.01912776567041874,
0.02111949399113655,
-0.0071145957335829735,
-0.021873120218515396,
-0.005611828062683344,
0.03249567002058029,
-0.03350050374865532,
-0.0473349392414093,
-0.0036156142596155405,
0.015404489822685719,
-0.007213284727185965,
0.012551474384963512,
0.005872008856385946,
-0.02851221337914467,
-0.03477449342608452,
0.04173656925559044,
0.00957285426557064,
0.015601868741214275,
0.032657161355018616,
-0.03498981520533562,
-0.000980163342319429,
-0.00027798398514278233,
0.0044970884919166565,
0.008648764342069626,
-0.005400991998612881,
0.0034092639107257128,
-0.04676074534654617,
-0.029606766998767853,
-0.0022014426067471504,
0.0013177254004403949,
-0.015000761486589909,
0.03188559040427208,
0.030180957168340683,
0.0358690470457077,
0.014444513246417046,
-0.01844591274857521,
-0.023236826062202454,
0.041341811418533325,
-0.009182583540678024,
0.026251332834362984,
0.020114658400416374,
-0.05601958930492401,
-0.026717863976955414,
0.05322040617465973,
0.006118731573224068,
-0.0062219067476689816,
-0.025443876162171364,
0.0107212383300066,
0.06499134004116058,
-0.02587451972067356,
-0.042956724762916565,
0.00014032374019734561,
0.02203461155295372,
-0.051892586052417755,
-0.013601168990135193,
0.04959581792354584,
0.014148445799946785,
-0.02840455248951912,
-0.03540251404047012,
-0.0632687658071518,
-0.028332777321338654,
0.028135400265455246,
0.013592197559773922,
0.032190628349781036,
-0.011932424269616604,
0.03811198100447655,
-0.04220309853553772,
0.011331317014992237,
0.023129165172576904,
-0.0012347367592155933,
0.06255102157592773,
-0.03619202971458435,
-0.05275387316942215,
0.0014926744624972343,
-0.01500973291695118,
-0.028225116431713104,
0.01566467061638832,
0.01634652353823185,
-0.016337551176548004,
0.037394244223833084,
0.010138074867427349,
-0.001918832422234118,
0.09452632814645767,
0.05139016732573509,
0.0182575061917305,
0.018167788162827492,
0.015278886072337627,
-0.004167376551777124,
0.03854262828826904,
-0.0001627531019039452,
0.047263164073228836,
-0.053974032402038574,
0.008639792911708355,
0.002960676560178399,
0.047011956572532654,
-0.006939646787941456,
-0.0014018354704603553,
0.021388646215200424,
0.004091116599738598,
-0.0026825524400919676,
-0.0006184898084029555,
0.017485935240983963,
-0.0012986604124307632,
-0.02969648316502571,
0.0065583474934101105,
-0.027866248041391373,
-0.018876556307077408,
0.00898071937263012,
-0.018966274335980415,
0.004768483806401491,
0.024995287880301476,
0.009056978859007359,
0.046545423567295074,
-0.0031692697666585445,
-0.011089080013334751,
0.04977525398135185,
-0.06319698691368103,
-0.02666403353214264,
-0.017306501045823097,
-0.0082270922139287,
-0.00163173652254045,
0.018266476690769196,
0.01467777881771326,
-0.06761109083890915,
-0.011403091251850128,
-0.03922447934746742,
-0.037860773503780365,
0.004411856643855572,
0.040193427354097366,
-0.0428849533200264,
-0.008312324061989784,
0.023828960955142975,
0.014175361022353172,
-0.03384143114089966,
-0.033590223640203476,
0.010084244422614574,
-0.03549223393201828,
-0.024385210126638412,
-0.0043759699910879135,
-0.05856756493449211,
-0.006365454755723476,
-0.02817128598690033,
-0.03301602974534035,
-0.023918678984045982,
0.045971233397722244,
-0.0026937671937048435,
0.04751437529921532,
0.0048761446960270405,
-0.015449348837137222,
0.021998723968863487,
-0.01622091978788376,
0.03753779083490372,
0.007464493624866009,
0.03638940677046776,
-0.06840059906244278,
-0.031131964176893234,
0.03156260773539543,
0.02341626025736332,
0.034038808196783066,
-0.015135337598621845,
-0.001056983950547874,
-0.018966274335980415,
-0.03407469764351845,
-0.004710167180746794,
0.006244336254894733,
-0.030306562781333923,
0.033464618027210236,
-0.011744017712771893,
-0.001197728211991489,
0.003182727377861738,
0.017485935240983963,
-0.021891063079237938,
-0.028207173570990562,
0.04780146852135658,
0.05634257197380066,
0.010739181190729141,
-0.014220219105482101,
-0.019684012979269028,
0.07001551985740662,
-0.011322345584630966,
-0.008123917505145073,
0.011851678602397442,
0.011950367130339146,
-0.029947692528367043,
0.004903059918433428,
-0.03445151075720787,
-0.04392567649483681,
0.011438977904617786,
-0.01442656945437193,
-0.006917217280715704,
-0.027525320649147034,
0.013637055642902851,
-0.04873453080654144,
-0.01090964488685131,
-0.02237553708255291,
-0.002480688039213419,
-0.01827544905245304,
-0.02029409259557724,
0.05580426752567291,
-0.024439040571451187,
0.01745004765689373,
-0.006284709088504314,
0.04213132709264755,
0.0013210898032411933,
-0.03296219930052757,
-0.04507405683398247,
0.010712265968322754,
-0.034146469086408615,
0.011035249568521976,
-0.0028552585281431675,
0.033572278916835785,
-0.001568934298120439,
0.025354158133268356,
0.012659135274589062,
-0.000007933513188618235,
-0.008509702049195766,
0.020617075264453888,
0.010425169952213764,
-0.0107212383300066,
-0.013009034097194672,
-0.020240262150764465,
0.027435602620244026,
-0.03285453841090202,
-0.0029741341713815928,
0.004236907698214054,
-0.019630182534456253,
-0.004438771866261959,
-0.03850673884153366,
-0.05648612231016159,
0.011986254714429379,
-0.012084943242371082,
-0.013107722625136375,
0.04661719873547554,
0.01615811698138714,
-0.027668869122862816,
-0.03360816463828087,
0.037860773503780365,
-0.03595876321196556,
-0.015530094504356384,
0.011896536685526371,
-0.04234664887189865,
0.033787600696086884,
-0.019666070118546486,
-0.03570755571126938,
-0.013825462199747562,
-0.026717863976955414,
0.004171862732619047,
0.02757915109395981,
-0.03793254867196083,
0.02874547801911831,
0.022590860724449158,
0.03285453841090202,
0.030683375895023346,
-0.019504578784108162,
-0.02980414405465126,
-0.0003170951968058944,
-0.011941395699977875,
-0.0013379118172451854,
0.008034199476242065,
0.03839907795190811,
-0.0050376360304653645,
0.043889787048101425,
0.00405522994697094,
-0.021263040602207184,
0.004804370924830437,
-0.04532526805996895,
0.00927678681910038,
0.027076734229922295,
-0.03527691215276718,
-0.040516410022974014,
-0.0024672304280102253,
0.008617362938821316,
-0.0005915745859965682,
-0.0373583547770977,
-0.017889663577079773,
0.005526596214622259,
0.010290593840181828,
0.013287157751619816,
-0.016077371314167976,
-0.015557009726762772,
0.006190505810081959,
-0.005845093168318272,
-0.013089779764413834,
0.015099450945854187,
-0.011896536685526371,
-0.014794411137700081,
-0.06334053725004196,
-0.037645451724529266,
0.01891244389116764,
-0.03725069388747215,
0.039942219853401184,
0.02065296284854412,
-0.0024941456504166126,
0.012443813495337963,
0.019989052787423134,
-0.031831759959459305,
-0.03882972151041031,
-0.02725616842508316,
-0.016508014872670174,
0.00783233530819416,
0.01927131414413452,
-0.02470819279551506,
-0.014435541816055775,
-0.015718501061201096,
0.025551537051796913,
-0.0350257009267807,
-0.007688787300139666,
0.023864848539233208,
-0.025085005909204483,
-0.012255406938493252,
0.01774611696600914,
0.016490072011947632,
-0.05418935418128967,
-0.011645328253507614,
-0.014937959611415863,
-0.003458608640357852,
-0.005898924078792334,
0.018060127273201942,
-0.03829141706228256,
0.03771722689270973,
-0.015054591931402683,
0.07945379614830017,
-0.030360393226146698,
0.00750486645847559,
0.03495392948389053,
0.012147746048867702,
-0.01971990056335926,
0.03615614026784897,
0.012416898272931576,
-0.04421276971697807,
-0.007361318916082382,
-0.008751939982175827,
-0.005894437897950411,
0.014659835025668144,
-0.06585262715816498,
0.027866248041391373,
-0.007451036013662815,
-0.023685412481427193,
0.025318270549178123,
-0.020312035456299782,
-0.014857213944196701,
-0.0528615340590477
] |
Context: Recent research has used data mining to develop techniques that can
guide developers through source code changes. To the best of our knowledge,
very few studies have investigated data mining techniques and--or compared
their results with other algorithms or a baseline. Objectives: This paper
proposes an automatic method for recommending source code changes using four
data mining algorithms. We not only use these algorithms to recommend source
code changes, but we also conduct an empirical evaluation. Methods: Our
investigation includes seven open-source projects from which we extracted
source change history at the file level. We used four widely data mining
algorithms \ie{} Apriori, FP-Growth, Eclat, and Relim to compare the algorithms
in terms of performance (Precision, Recall and F-measure) and execution time.
Results: Our findings provide empirical evidence that while some Frequent
Pattern Mining algorithms, such as Apriori may outperform other algorithms in
some cases, the results are not consistent throughout all the software
projects, which is more likely due to the nature and characteristics of the
studied projects, in particular their change history. Conclusion: Apriori seems
appropriate for large-scale projects, whereas Eclat appears to be suitable for
small-scale projects. Moreover, FP-Growth seems an efficient approach in terms
of execution time. | [
-0.013297965750098228,
0.03853132948279381,
-0.025302354246377945,
-0.010055400431156158,
0.022025294601917267,
0.030476661399006844,
-0.003164950292557478,
0.004361508414149284,
-0.05339883640408516,
0.03233940899372101,
0.028562167659401894,
-0.05039773881435394,
0.021939055994153023,
-0.016005853191018105,
-0.02359483391046524,
0.05057021602988243,
0.03007996454834938,
-0.04204985871911049,
-0.012495948001742363,
-0.04056655615568161,
-0.042256828397512436,
-0.054778650403022766,
-0.0021408689208328724,
0.0265614353120327,
0.047879576683044434,
-0.000982040073722601,
0.05122562497854233,
-0.03956619277596474,
-0.02097318507730961,
0.040946006774902344,
0.020697223022580147,
0.029872991144657135,
0.004424031358212233,
-0.02535409852862358,
-0.05602048337459564,
-0.0031908219680190086,
0.008386687375605106,
0.06109130382537842,
-0.015816127881407738,
0.04763810709118843,
0.01394475344568491,
-0.009270630776882172,
0.009512098506093025,
-0.02669941820204258,
-0.005428709089756012,
-0.01077980361878872,
-0.005609809886664152,
-0.05232947692275047,
-0.013936130329966545,
-0.06916321814060211,
0.03125280514359474,
-0.004441278986632824,
0.01741153933107853,
-0.02597501501441002,
-0.03452986851334572,
0.04118747264146805,
-0.04932837933301926,
0.027941251173615456,
0.03722050413489342,
-0.00538127776235342,
0.025009144097566605,
0.0666450560092926,
-0.009184393100440502,
0.04053205996751785,
0.012539067305624485,
-0.02021428756415844,
-0.021473368629813194,
-0.016333557665348053,
0.04229132458567619,
-0.037979405373334885,
-0.0702325776219368,
-0.006679166108369827,
-0.05664139986038208,
0.023267127573490143,
0.00641182716935873,
-0.0053165992721915245,
0.01312548853456974,
-0.013211727142333984,
-0.07230229675769806,
-0.014867505058646202,
0.04232582077383995,
0.04598233103752136,
-0.02359483391046524,
-0.022490981966257095,
-0.000055482301831943914,
-0.08444467186927795,
0.04850049316883087,
-0.0668865218758583,
0.007735587190836668,
-0.020266029983758926,
-0.02625097706913948,
0.03818637505173683,
0.05781424418091774,
0.03287408873438835,
-0.034909315407276154,
-0.010753932408988476,
0.013444570824503899,
0.004010086879134178,
-0.04646526649594307,
0.05153608322143555,
-0.04843150079250336,
0.0030118771828711033,
0.015221082605421543,
-0.009917419403791428,
0.07685568928718567,
-0.06015992909669876,
-0.09838079661130905,
0.02745831571519375,
0.006390267517417669,
0.13115140795707703,
-0.033839959651231766,
0.05226048827171326,
-0.02580253779888153,
0.013849891722202301,
0.027527306228876114,
-0.03109757788479328,
0.014772642403841019,
-0.054502688348293304,
0.05005278438329697,
-0.0008586113690398633,
0.028803635388612747,
0.0846516415476799,
0.001122177578508854,
0.017661631107330322,
-0.06133276969194412,
0.0430157296359539,
0.05843516066670418,
0.01608346775174141,
0.030424917116761208,
-0.00789081584662199,
-0.028079232200980186,
0.03197721019387245,
0.03832435607910156,
0.03408142551779747,
0.09706997871398926,
0.020714471116662025,
0.06260909885168076,
-0.0053381589241325855,
0.009149896912276745,
-0.04577535763382912,
-0.04232582077383995,
-0.02390529215335846,
-0.02433648519217968,
-0.0039971512742340565,
0.04791406914591789,
-0.004583572503179312,
0.018489519134163857,
0.025440337136387825,
-0.059642497450113297,
0.02255997247993946,
-0.04643077030777931,
-0.0033417390659451485,
-0.01623869687318802,
-0.020904194563627243,
0.01400512084364891,
0.03230491653084755,
0.012892644852399826,
-0.001530732144601643,
-0.0022939422633498907,
-0.028199966996908188,
0.07996027171611786,
-0.009891548193991184,
-0.014272459782660007,
0.03904876112937927,
-0.011866407468914986,
-0.021024929359555244,
0.0062393504194915295,
0.014117230661213398,
-0.08292686939239502,
0.039600685238838196,
-0.000010232392014586367,
-0.02302565984427929,
-0.003499124199151993,
0.013780901208519936,
0.006347148213535547,
-0.005696048028767109,
0.03808289021253586,
-0.004236462991684675,
-0.03963518142700195,
-0.03773793578147888,
-0.024715933948755264,
0.01919667422771454,
0.04677572473883629,
-0.014643285423517227,
0.06823184341192245,
0.004176096059381962,
0.03718601167201996,
-0.0079037519171834,
0.030562900006771088,
-0.06343698501586914,
-0.003958343993872404,
0.004100637510418892,
0.031356293708086014,
0.04084251821041107,
-0.0030097211711108685,
0.02845868095755577,
-0.00773989874869585,
-0.0013722690055146813,
-0.02714785747230053,
-0.018196308985352516,
-0.039773162454366684,
-0.07402706891298294,
-0.01710970513522625,
0.020852452144026756,
0.04222233593463898,
-0.028510425239801407,
0.04056655615568161,
-0.00914127379655838,
0.01708383299410343,
-0.09444832801818848,
-0.002021213062107563,
0.03832435607910156,
-0.008873933926224709,
0.03663408383727074,
-0.010745308361947536,
-0.0031821979209780693,
0.030286936089396477,
0.010564207099378109,
-0.025147125124931335,
-0.007972742430865765,
0.05150159075856209,
-0.028958864510059357,
0.04511994495987892,
-0.005734855309128761,
-0.022939421236515045,
0.0036414177156984806,
-0.011857784353196621,
0.01697172224521637,
-0.014108606614172459,
-0.0008165701292455196,
0.010202006436884403,
0.0016083467053249478,
-0.07409606128931046,
-0.005463204346597195,
-0.02019703947007656,
-0.000369477755157277,
-0.02480217255651951,
-0.02726859040558338,
-0.04042857512831688,
0.003236097050830722,
0.01930016092956066,
0.0055753146298229694,
-0.013289341703057289,
-0.033236291259527206,
0.06474781036376953,
-0.001471443218179047,
-0.032943081110715866,
0.047845080494880676,
0.08458264917135239,
0.03304656594991684,
0.019386399537324905,
-0.04443003982305527,
0.005696048028767109,
0.06847330927848816,
-0.024577952921390533,
0.047431137412786484,
0.043740130960941315,
0.003490500384941697,
-0.018075574189424515,
-0.0015641495119780302,
0.020179791375994682,
-0.0120992511510849,
-0.04694820195436478,
0.011004023253917694,
0.015117596834897995,
0.034909315407276154,
0.0769936665892601,
-0.013746405951678753,
0.020093554630875587,
0.007045679725706577,
0.012806406244635582,
-0.025009144097566605,
-0.0589870847761631,
-0.049362875521183014,
0.012996131554245949,
-0.05829717591404915,
0.013263470493257046,
-0.03423665463924408,
-0.0011599068529903889,
0.011573197320103645,
-0.015143468044698238,
0.0896189734339714,
0.05012177303433418,
0.02523336373269558,
0.00505357189103961,
-0.016264567151665688,
-0.02625097706913948,
-0.03863481432199478,
-0.009460356086492538,
-0.04308471828699112,
-0.02597501501441002,
-0.06316102296113968,
-0.02212878130376339,
0.013375580310821533,
-0.01917942613363266,
-0.03759995475411415,
-0.019248416647315025,
0.08389274030923843,
-0.013203103095293045,
0.021714836359024048,
-0.06147075071930885,
-0.04204985871911049,
0.04201536253094673,
0.006191919092088938,
-0.0008311228593811393,
-0.003468940733000636,
-0.005933203734457493,
0.03516802936792374,
-0.05129461735486984,
-0.0747169777750969,
0.013780901208519936,
-0.03618564456701279,
-0.008994667790830135,
-0.06091882660984993,
-0.030286936089396477,
0.012073379941284657,
0.05764176696538925,
0.00029940903186798096,
-0.01394475344568491,
-0.04556838423013687,
0.04184288531541824,
-0.037117019295692444,
-0.10431400686502457,
0.06564468890428543,
0.01886896789073944,
0.010935032740235329,
-0.05577901378273964,
0.032684363424777985,
0.001977015985175967,
-0.03144253045320511,
-0.022301258519291878,
-0.025009144097566605,
0.02283593639731407,
-0.044016093015670776,
-0.011900902725756168,
-0.000018932030798168853,
-0.06064286455512047,
0.014384569600224495,
0.016342181712388992,
0.05326085537672043,
-0.06881826370954514,
-0.005195865407586098,
-0.05546855553984642,
0.008593659847974777,
0.02669941820204258,
0.02671666443347931,
0.02609574794769287,
-0.006127240136265755,
0.019558874890208244,
-0.035771701484918594,
0.0009076594724319875,
-0.020576488226652145,
-0.0075156791135668755,
-0.03335702419281006,
0.006541184615343809,
0.004139444790780544,
0.018110070377588272,
-0.0032447208650410175,
0.05284690856933594,
0.06912872195243835,
0.027682535350322723,
-0.04170490428805351,
0.0072138444520533085,
-0.02462969534099102,
0.008386687375605106,
0.023939788341522217,
0.018023831769824028,
-0.0026130243204534054,
0.0121596185490489,
0.0013830488314852118,
-0.03908325731754303,
0.0504322312772274,
0.06592065840959549,
-0.0037686193827539682,
-0.023232633247971535,
0.006739533040672541,
0.025336850434541702,
0.03318454697728157,
-0.008153843693435192,
0.012349342927336693,
0.008908430114388466,
0.03168400004506111,
-0.007300083059817553,
0.00789943989366293,
-0.053157366812229156,
-0.01180604100227356,
-0.000572946562897414,
-0.013755029067397118,
-0.01962786726653576,
0.008839438669383526,
-0.012133747339248657,
0.00427958182990551,
-0.03227042034268379,
-0.03808289021253586,
-0.003665133146569133,
-0.009408612735569477,
-0.013022002764046192,
0.020455755293369293,
0.005040636286139488,
-0.06940468400716782,
0.002130089094862342,
-0.012858149595558643,
-0.000618221762124449,
0.015678146854043007,
-0.03358124569058418,
-0.009468979202210903,
0.024836666882038116,
0.04260178282856941,
-0.0036910048220306635,
0.04763810709118843,
-0.03111482597887516,
0.0900329202413559,
-0.011900902725756168,
0.028958864510059357,
0.028130974620580673,
0.022542724385857582,
-0.010581455193459988,
0.04436104744672775,
0.02685464732348919,
0.02923482656478882,
-0.04632728546857834,
-0.001815318944863975,
0.012064755894243717,
-0.016997594386339188,
0.04046307131648064,
0.002382336650043726,
0.029890239238739014,
0.028820883482694626,
0.016850989311933517,
-0.016273191198706627,
0.013780901208519936,
0.05815919488668442,
-0.005376966204494238,
-0.005601185839623213,
0.003941096365451813,
-0.02450896054506302,
0.021128414198756218,
-0.047258660197257996,
-0.007968430407345295,
-0.025854280218482018,
0.004799168556928635,
0.004583572503179312,
0.016549155116081238,
0.02935556136071682,
-0.04515444114804268,
-0.03432289510965347,
-0.026337215676903725,
-0.001641764072701335,
-0.039773162454366684,
-0.004025178495794535,
-0.025405840948224068,
0.04615480825304985,
-0.02375006303191185,
-0.016299063339829445,
0.07030156999826431,
-0.024405475705862045,
-0.02097318507730961,
-0.03346050903201103,
0.04767260327935219,
-0.015393559820950031,
-0.02019703947007656,
0.021352635696530342,
-0.02181832306087017,
0.04273976385593414,
-0.0159282386302948,
0.03411592170596123,
-0.00641182716935873,
-0.019558874890208244,
-0.0018228647531941533,
-0.010038153268396854,
0.006256598047912121,
0.005506323650479317,
0.018506767228245735,
-0.01886896789073944,
0.02314639464020729,
-0.013384204357862473,
0.06174671649932861,
-0.03285684064030647,
0.02625097706913948,
-0.0075372387655079365,
0.02906235121190548,
0.022766945883631706,
-0.014324203133583069,
0.015514293685555458,
0.0400836206972599,
0.015721265226602554,
0.0681973472237587,
0.0010812142863869667,
0.039014264941215515,
0.04805205389857292,
-0.0616777241230011,
-0.006670542526990175,
0.0007238638354465365,
-0.010339987464249134,
0.018851719796657562,
0.039876651018857956,
-0.04111848399043083,
-0.0015889430651441216,
0.007942559197545052,
-0.015152092091739178,
0.013582552783191204,
0.0008004003902897239,
-0.02519886940717697,
-0.020386764779686928,
0.00252462993375957,
-0.015229706652462482,
-0.015074477531015873,
-0.014712275937199593,
0.01990382932126522,
-0.022749697789549828,
-0.007485495414584875,
0.044774990528821945,
-0.03390894830226898,
-0.01535044051706791,
-0.058193691074848175,
0.022628962993621826,
-0.0030334368348121643,
-0.002218483481556177,
0.0036759129725396633,
0.03235665708780289,
0.023508595302700996,
0.018075574189424515,
-0.0056572407484054565,
0.003565958933904767,
-0.011883655562996864,
-0.00043819902930408716,
0.04901792109012604,
0.02243923954665661,
0.06567918509244919,
-0.02416400797665119,
0.014720899984240532,
0.0619191899895668,
-0.04087701439857483,
-0.05822818726301193,
-0.024836666882038116,
-0.030856110155582428,
0.05974598228931427,
0.028872625902295113,
-0.02699262835085392,
-0.017782364040613174,
-0.05546855553984642,
0.02169758826494217,
-0.022801440209150314,
0.00708448700606823,
-0.05129461735486984,
0.006036689970642328,
-0.012927140109241009,
-0.015307321213185787,
0.039911143481731415,
0.021628597751259804,
-0.03873830288648605,
0.023077404126524925,
-0.002182910218834877,
0.014039616100490093,
0.001250457251444459,
0.0016579338116571307,
0.013936130329966545,
-0.02519886940717697,
0.002104217652231455,
0.013927506282925606,
-0.027613544836640358,
0.012194113805890083,
0.01829979382455349,
0.004436966963112354,
0.0010197694646194577,
0.006937881466001272,
0.012366591021418571,
0.03337427228689194,
0.003164950292557478,
-0.025699051097035408,
-0.010064024478197098,
-0.012495948001742363,
-0.01829979382455349,
-0.045188937336206436,
-0.017480529844760895,
0.0008273498970083892,
0.022249514237046242,
-0.03523702174425125,
-0.02390529215335846,
-0.007123294286429882,
-0.05546855553984642,
-0.036358121782541275,
-0.014479432255029678,
-0.0011157096596434712,
0.0025849968660622835,
0.01016751118004322,
-0.03380546346306801,
-0.01948988437652588,
-0.036047663539648056,
0.0036457295063883066,
-0.031649503856897354,
0.021438872441649437,
-0.02638895995914936,
-0.008378063328564167,
0.00105103082023561,
0.011271362192928791,
0.002826464595273137,
0.010029529221355915,
0.016859613358974457,
-0.01931740716099739,
-0.011107509955763817,
0.012444205582141876,
0.0510876439511776,
0.033701978623867035,
0.039324723184108734,
0.02287043072283268,
0.0495353527367115,
-0.03822087123990059,
-0.015712641179561615,
0.011780169792473316,
-0.014488056302070618,
-0.037668947130441666,
0.014125854708254337,
-0.015177963301539421,
-0.010866042226552963,
-0.032684363424777985,
0.02714785747230053,
0.03113207221031189,
-0.04529242217540741,
-0.05146709457039833,
0.03247739374637604,
-0.017377043142914772,
0.06088433042168617,
0.007093110587447882,
0.025474831461906433,
0.058504149317741394,
-0.008330632001161575,
-0.008882557973265648,
-0.015376311726868153,
-0.026802903041243553,
-0.037841424345970154,
-0.004846599884331226,
-0.012202737852931023,
-0.020835204049944878,
-0.00038079655496403575,
0.04184288531541824,
-0.006446322426199913,
0.016402550041675568,
0.018920712172985077,
-0.011693931184709072,
0.017920345067977905,
-0.013729157857596874,
-0.008524668402969837,
0.10507290065288544,
-0.006817147601395845,
0.029321065172553062,
0.015885118395090103,
-0.012711544521152973,
0.033839959651231766,
0.0029536662623286247,
-0.011512829922139645,
0.005527883302420378,
-0.013711909763514996,
0.038565825670957565,
-0.04194637015461922,
-0.04825902357697487,
0.008162466809153557,
-0.009279254823923111,
0.008145219646394253,
0.024733182042837143,
-0.008166778832674026,
0.010305492207407951,
0.0011383472010493279,
-0.0025634372141212225,
0.050225261598825455,
0.017635758966207504,
0.01916217803955078,
-0.010753932408988476,
0.02373281493782997,
0.0371515154838562,
-0.03182198107242584,
-0.038876283913850784,
-0.02199079841375351,
0.03171849250793457,
0.007244028151035309,
0.005101003218442202,
-0.020541993901133537,
0.062471117824316025,
0.011831912212073803,
-0.029148587957024574,
0.0007443454232998192,
-0.05119113251566887,
-0.022163275629281998,
-0.017471905797719955,
-0.022215019911527634,
0.01579887978732586,
-0.04308471828699112,
-0.0056917364709079266,
-0.003546555293723941,
-0.009822556748986244,
-0.009236135520040989,
-0.04363664612174034,
0.043429672718048096,
0.019110435619950294,
0.004424031358212233,
0.0010305491741746664,
-0.019403645768761635,
-0.02421575039625168,
0.0015177963068708777,
-0.04318820685148239,
0.0005556988762691617,
0.0371515154838562,
-0.03021794557571411,
-0.0017980712000280619,
-0.013677414506673813,
0.021128414198756218,
-0.00891705323010683,
-0.011176500469446182,
0.03925573453307152,
0.013927506282925606,
0.008067605085670948,
-0.009339622221887112,
-0.007187973242253065,
0.0398421548306942,
-0.012935764156281948,
-0.019731352105736732,
0.03516802936792374,
-0.0015080944867804646,
-0.0022271075285971165,
-0.005484763998538256,
-0.03822087123990059,
0.03025243990123272,
0.0075587984174489975,
-0.04456802085042,
-0.06823184341192245,
-0.01565227471292019,
0.006019442342221737,
0.017230438068509102,
0.027113361284136772,
0.0012407554313540459,
-0.026785656809806824,
-0.020541993901133537,
-0.032822344452142715,
-0.02564730867743492,
-0.021801074966788292,
0.05074269324541092,
0.0011944022262468934,
0.037841424345970154,
-0.05505461245775223,
0.030183449387550354,
0.011745673604309559,
-0.01698897033929825,
-0.018075574189424515,
0.00014417986676562577,
0.013970625586807728,
0.01260805781930685,
0.012375214137136936,
-0.011900902725756168,
-0.04553389176726341,
0.04515444114804268,
0.07630376517772675,
-0.028199966996908188,
0.06605863571166992,
-0.05153608322143555,
-0.06122928485274315,
-0.0072612757794559,
0.0025828408543020487,
0.0162128247320652,
0.023560339584946632,
-0.028493177145719528,
-0.06091882660984993,
0.011478334665298462,
-0.008942925371229649,
0.0019964196253567934,
0.0023004100657999516,
0.015462550334632397,
-0.018386032432317734,
0.022904926910996437,
0.01976584829390049,
0.005730543751269579,
-0.03684105724096298,
-0.0075372387655079365,
0.036220140755176544,
-0.021732084453105927,
0.043291691690683365,
-0.023801805451512337,
0.020541993901133537,
0.008891182020306587,
-0.015324568375945091,
0.027251344174146652,
-0.019472636282444,
0.003956187982112169,
-0.028734644874930382,
0.037703439593315125,
0.010788427665829659,
0.03853132948279381,
0.008291824720799923,
-0.0034301334526389837,
0.004292517900466919,
0.036220140755176544,
-0.03746197372674942,
-0.029838496819138527,
-0.002137635136023164,
-0.03556472808122635,
0.0380483940243721,
-0.030045468360185623,
-0.021300891414284706,
-0.015315945260226727,
0.002261602785438299,
-0.02920033223927021,
0.033995188772678375,
0.020455755293369293,
-0.026647673919796944,
-0.015152092091739178,
0.012082003988325596,
-0.019472636282444,
0.008330632001161575,
-0.039600685238838196,
-0.035771701484918594,
0.03230491653084755,
0.009779437445104122,
0.01370328664779663,
0.011245490983128548,
-0.026958132162690163,
0.018386032432317734,
-0.013159983791410923,
-0.017816860228776932,
0.01091778464615345,
-0.012021636590361595,
-0.006131552159786224,
-0.010572831146419048,
-0.03145977854728699,
0.0028005929198116064,
-0.07054303586483002,
-0.02519886940717697,
-0.01461741328239441,
-0.022008046507835388,
0.008386687375605106,
0.024008778855204582,
-0.007692467886954546,
0.005269167944788933,
-0.008378063328564167,
0.011995765380561352,
-0.028527671471238136,
-0.029855744913220406,
0.008951548486948013,
0.005420085042715073,
-0.011202371679246426,
0.02228401042521,
0.012625305913388729,
0.010503840632736683,
-0.03289133682847023,
-0.0185757577419281,
-0.008848062716424465,
0.008727328851819038,
-0.025906024500727654,
-0.060573872178792953,
0.019731352105736732,
0.0030722441151738167,
0.02775152586400509,
0.05001828819513321,
0.021266397088766098,
0.02550932765007019,
-0.008787696249783039,
-0.00891705323010683,
0.05439919978380203,
0.004622379783540964,
-0.0339779406785965,
0.016859613358974457,
-0.03553023189306259,
0.04332618787884712,
0.03456436097621918,
0.009253383614122868,
0.025336850434541702,
0.03351225331425667,
-0.047396641224622726,
-0.05529608204960823,
-0.053881771862506866,
0.024577952921390533,
-0.028993358835577965,
-0.026958132162690163,
0.04001463204622269,
0.0037686193827539682,
0.032994821667671204,
0.024232998490333557,
-0.027630792930722237,
-0.03509904071688652,
0.012263104319572449,
0.02654418908059597,
-0.010590079240500927,
0.044912975281476974,
-0.02742381952702999,
0.008028797805309296,
-0.014927872456610203,
-0.007463936228305101,
-0.018782729282975197,
-0.02050749771296978,
-0.022973917424678802,
-0.036358121782541275,
-0.006209166720509529,
0.015747137367725372,
0.02402602694928646,
-0.026958132162690163,
-0.028579415753483772,
0.03111482597887516,
0.020817955955863,
-0.013332461006939411,
-0.011340353637933731,
-0.046982694417238235,
0.0076105413027107716,
-0.021318139508366585,
-0.021214652806520462,
0.01481576170772314,
0.02285318449139595,
-0.003945407923310995,
0.008149531669914722,
0.028527671471238136,
-0.02242199145257473,
0.024250246584415436,
0.029286570847034454,
0.04615480825304985,
0.01179741695523262,
0.005165681708604097,
-0.038255367428064346,
0.011262739077210426,
-0.01667851209640503,
-0.04411958158016205,
0.03759995475411415,
-0.037565458565950394,
-0.009969162754714489,
0.07181936502456665,
0.04346416890621185,
0.037392981350421906,
0.004820728208869696,
-0.026958132162690163,
-0.00001169777078757761,
0.012375214137136936,
-0.01785135455429554,
0.01467778068035841,
-0.012728791683912277,
-0.010909161530435085,
0.017903096973896027,
-0.004171784035861492,
-0.00825301744043827,
0.030493907630443573,
0.0030808679293841124,
0.0029816937167197466,
0.01194402202963829,
-0.004514581523835659,
-0.0055710026063025,
-0.015255577862262726,
0.005950451362878084,
0.004260178189724684,
-0.021042177453637123,
0.029424551874399185,
-0.013116865418851376,
0.046672236174345016,
0.029907487332820892,
0.008744576945900917,
-0.0165405310690403,
-0.05005278438329697,
-0.05991845950484276,
0.02759629674255848,
-0.010995399206876755,
0.008744576945900917,
0.007179349195212126,
-0.021576855331659317,
-0.001388438744470477,
0.02697538025677204,
0.01708383299410343,
-0.000006792118256271351,
0.013263470493257046,
-0.012021636590361595,
0.00022947507386561483,
-0.01812731847167015,
-0.005394213832914829,
0.017316676676273346,
0.0255438219755888,
-0.08071916550397873,
-0.011400720104575157,
0.025457583367824554,
-0.028355196118354797,
0.006028066389262676,
0.02328437566757202,
0.02683739922940731,
-0.02226676233112812,
-0.0026130243204534054,
-0.003067932091653347,
0.03998013585805893,
0.014893376268446445,
0.005933203734457493,
-0.022628962993621826,
-0.02036951668560505,
-0.002645363798364997,
0.021162910386919975,
-0.02328437566757202,
0.007446688134223223,
0.004760361276566982,
0.0380483940243721,
-0.00010173439659411088,
-0.012815030291676521,
-0.044912975281476974,
0.06205717474222183,
-0.007623476907610893,
-0.017040712758898735,
-0.001985639799386263,
0.005454580765217543,
-0.0013313057133927941,
0.005299351643770933,
0.035495735704898834,
-0.04060105234384537,
0.04760361090302467,
-0.009701822884380817,
-0.01062457449734211,
0.024698685854673386,
-0.003236097050830722,
0.0483970046043396,
0.026285473257303238,
-0.016031723469495773,
0.05840066447854042,
-0.05395076051354408,
0.010512464679777622,
0.03346050903201103,
0.020766213536262512,
0.02878638729453087,
0.041670408099889755,
-0.02507813461124897,
-0.05329534783959389,
0.052432965487241745,
-0.05295039340853691,
0.014134478755295277,
-0.07368211448192596,
-0.009477603249251842,
-0.06612762808799744
] |
The ability to automatically learn movements and behaviors of increasing
complexity is a long-term goal in autonomous systems. Indeed, this is a very
complex problem that involves understanding how knowledge is acquired and
reused by humans as well as proposing mechanisms that allow artificial agents
to reuse previous knowledge. Inspired by Jean Piaget's theory's first three
sensorimotor substages, this work presents a cognitive agent based on CONAIM
(Conscious Attention-Based Integrated Model) that can learn procedures
incrementally. Throughout the paper, we show the cognitive functions required
in each substage and how adding new functions helps address tasks previously
unsolved by the agent. Experiments were conducted with a humanoid robot in a
simulated environment modeled with the Cognitive Systems Toolkit (CST)
performing an object tracking task. The system is modeled using a single
procedural learning mechanism based on Reinforcement Learning. The increasing
agent's cognitive complexity is managed by adding new terms to the reward
function for each learning phase. Results show that this approach is capable of
solving complex tasks incrementally. | [
0.006810581777244806,
0.008898776955902576,
-0.029924413189291954,
-0.025728864595294,
-0.0032400551717728376,
0.007821152918040752,
0.008692830801010132,
0.010105716064572334,
-0.04076770320534706,
0.03881360962986946,
0.018573442474007607,
-0.07134348154067993,
0.021705735474824905,
-0.03624647110700607,
0.025173289701342583,
0.05000174045562744,
0.021878156810998917,
-0.010402660816907883,
-0.06268417090177536,
-0.04693650081753731,
0.002921557519584894,
-0.031073877587914467,
-0.018573442474007607,
0.02867915853857994,
0.056017275899648666,
0.0014452130999416113,
-0.0074284193105995655,
-0.0020391035359352827,
-0.08406423032283783,
0.036342259496450424,
-0.008491674438118935,
0.03425406664609909,
-0.028966525569558144,
0.004281758330762386,
-0.018870389088988304,
-0.036552995443344116,
0.012107701040804386,
0.0073948935605585575,
-0.044637568295001984,
0.056821901351213455,
0.03871782124042511,
-0.002859294880181551,
-0.04613187164068222,
-0.08345118165016174,
0.024234559386968613,
-0.02944546937942505,
-0.024675188586115837,
-0.02394719421863556,
-0.09034796804189682,
0.017270715907216072,
0.0248476080596447,
-0.06912118196487427,
0.07820195704698563,
-0.011638335883617401,
-0.03239576146006584,
0.009923717007040977,
0.03226165845990181,
-0.019885748624801636,
0.020977741107344627,
-0.00461222929880023,
0.029713677242398262,
0.027529694139957428,
-0.0891985073685646,
0.028391793370246887,
0.04808596521615982,
-0.0757114440202713,
0.02486676536500454,
-0.030173463746905327,
0.05375665798783302,
0.01205022819340229,
-0.03852624446153641,
-0.03597826510667801,
-0.04900553822517395,
-0.040154654532670975,
0.03712772950530052,
0.018027447164058685,
0.09471593797206879,
0.027031591162085533,
0.028468424454331398,
-0.03632310405373573,
-0.011820334941148758,
0.04272179305553436,
0.007519418839365244,
-0.026303596794605255,
0.05544254183769226,
-0.040154654532670975,
0.06521299481391907,
-0.06758856028318405,
0.0813821405172348,
-0.0119831757619977,
-0.04118917137384415,
0.01670556142926216,
-0.022337941452860832,
0.050423212349414825,
-0.03128461167216301,
-0.0037908407393842936,
-0.019828276708722115,
-0.0011243207845836878,
-0.052952032536268234,
-0.030269252136349678,
0.0035250268410891294,
0.005244435276836157,
0.01796039566397667,
-0.009559719823300838,
0.01854470744729042,
0.011964017525315285,
-0.021782366558909416,
0.004715202376246452,
-0.050308264791965485,
0.15939252078533173,
-0.030729038640856743,
0.010278135538101196,
-0.03860287740826607,
0.041840534657239914,
-0.0203455351293087,
-0.0067004249431192875,
-0.0006471729138866067,
-0.04341147094964981,
0.03695530816912651,
-0.046783238649368286,
0.02854505367577076,
0.04548050835728645,
0.048354171216487885,
-0.05241561681032181,
-0.022759413346648216,
0.057549893856048584,
0.020134801045060158,
-0.018180709332227707,
-0.0007495471509173512,
0.0361889973282814,
-0.0017924474086612463,
-0.011360548436641693,
-0.021399211138486862,
0.030001044273376465,
0.02969451993703842,
-0.022721096873283386,
0.006350795738399029,
0.020671216771006584,
-0.007576892152428627,
-0.018247760832309723,
-0.0031011614482849836,
-0.05513601750135422,
-0.05264551192522049,
0.034637220203876495,
0.0371660441160202,
0.018266920000314713,
-0.010000348091125488,
0.05004005506634712,
-0.024406978860497475,
0.02201225981116295,
-0.03528858348727226,
0.021571632474660873,
-0.007452366407960653,
0.0026102440897375345,
-0.00041458578198216856,
0.009181354194879532,
-0.04406283423304558,
0.035614266991615295,
0.027012433856725693,
0.023334145545959473,
0.026571806520223618,
-0.021054372191429138,
-0.006336427293717861,
0.07613291591405869,
0.03402417153120041,
0.007179368752986193,
-0.010412239469587803,
0.04540387913584709,
-0.04448430612683296,
0.03965655341744423,
-0.04452262073755264,
-0.035537634044885635,
0.02302762120962143,
0.02590128406882286,
0.04866069555282593,
0.008711989037692547,
0.03172524273395538,
0.026054546236991882,
-0.05632380023598671,
0.007596049923449755,
-0.015718936920166016,
-0.013496638275682926,
0.029866939410567284,
0.004214705899357796,
0.04873732849955559,
-0.01242380402982235,
0.09165070205926895,
0.0069782123900949955,
0.00852041132748127,
-0.06762687116861343,
-0.010000348091125488,
0.024177085608243942,
0.026284439489245415,
0.01891828328371048,
-0.0009997952729463577,
-0.08475390821695328,
-0.019301438704133034,
0.030039358884096146,
-0.04260684549808502,
0.03770245984196663,
-0.044637568295001984,
-0.07984951883554459,
0.012577066197991371,
0.016207460314035416,
0.03147619217634201,
-0.010718763805925846,
-0.006120902486145496,
-0.041917167603969574,
0.022510360926389694,
-0.06716708838939667,
0.004185969475656748,
-0.0006872844533063471,
0.019224807620048523,
-0.021878156810998917,
-0.014636524952948093,
-0.02212720736861229,
0.006824950221925974,
-0.003429237985983491,
0.013295481912791729,
-0.019789960235357285,
-0.027318958193063736,
0.021629104390740395,
0.06743529438972473,
0.011197707615792751,
-0.015105889178812504,
0.004878043197095394,
0.027127381414175034,
-0.01709829643368721,
-0.00031161285005509853,
-0.025537287816405296,
0.011657494120299816,
0.039215922355651855,
0.047587864100933075,
-0.016695983707904816,
0.015613569878041744,
0.02206973358988762,
0.01526873093098402,
-0.02668675221502781,
0.02582465298473835,
-0.005464749410748482,
0.040231283754110336,
-0.003208923852071166,
-0.03536521643400192,
-0.009588456712663174,
0.0481242798268795,
0.05287540331482887,
-0.020594585686922073,
0.05272214114665985,
0.009837507270276546,
0.005982008762657642,
0.003546579275280237,
0.011149813421070576,
-0.009933295659720898,
-0.008467727340757847,
0.029292207211256027,
0.00944956298917532,
0.046515028923749924,
-0.029100628569722176,
0.02775958739221096,
0.010220661759376526,
-0.014157581143081188,
0.04360305145382881,
0.06164965406060219,
0.03444564342498779,
-0.00012138233432779089,
0.001679895562119782,
0.05276045575737953,
0.022912675514817238,
-0.0007064422243274748,
-0.031207982450723648,
0.001591291045770049,
0.02208889089524746,
0.003932129126042128,
0.029138945043087006,
0.025364866480231285,
-0.026188651099801064,
0.008616200648248196,
0.007993573322892189,
0.005804799497127533,
0.06191786378622055,
0.04712807759642601,
-0.021686578169465065,
0.03477132320404053,
0.03977149724960327,
0.01380316261202097,
-0.020977741107344627,
-0.06797171384096146,
0.030269252136349678,
-0.030307568609714508,
0.036457207053899765,
-0.0010165583807975054,
-0.018966177478432655,
-0.04333484172821045,
-0.04866069555282593,
0.038334667682647705,
0.003541789948940277,
-0.000980038894340396,
-0.03525026887655258,
0.026399385184049606,
-0.05758821219205856,
0.0036040525883436203,
0.0011656295973807573,
0.037261832505464554,
-0.0017744870856404305,
0.0038746558129787445,
0.013946845196187496,
-0.017835870385169983,
-0.0013793583493679762,
-0.040269602090120316,
0.013036851771175861,
0.054024867713451385,
-0.005014542490243912,
-0.019196070730686188,
-0.01009613648056984,
-0.016973771154880524,
0.06935106962919235,
0.06391026824712753,
-0.008759883232414722,
-0.08076909184455872,
-0.007854679599404335,
-0.0260162316262722,
0.007605628576129675,
-0.07325925678014755,
0.05279877036809921,
0.020709533244371414,
0.03519279509782791,
0.03887108340859413,
0.0021121425088495016,
-0.04555714130401611,
0.006159218028187752,
-0.02860252745449543,
-0.004514046013355255,
-0.016810929402709007,
0.011810755357146263,
-0.01432042196393013,
-0.03672541677951813,
-0.031821031123399734,
0.05984882637858391,
-0.014808944426476955,
-0.031303770840168,
0.006528005003929138,
-0.005823957268148661,
0.03218502923846245,
-0.013065588660538197,
0.0011638336582109332,
-0.006532794330269098,
0.005225277505815029,
0.005100752227008343,
0.011580863036215305,
0.01586262136697769,
0.0010746303014457226,
-0.04536556452512741,
-0.007926520891487598,
-0.01901407167315483,
0.026073703542351723,
-0.0030149517115205526,
0.045748718082904816,
-0.0021803919225931168,
-0.03714688494801521,
-0.011236023157835007,
0.05092131346464157,
-0.05528927966952324,
-0.023544881492853165,
0.010057820938527584,
-0.01715577021241188,
-0.02586296945810318,
-0.023678984493017197,
0.011168970726430416,
0.006963843945413828,
0.03348775580525398,
-0.03988644480705261,
-0.010910341516137123,
0.062301017343997955,
-0.010690026916563511,
0.006542373448610306,
-0.006566320545971394,
-0.02300846390426159,
-0.024598557502031326,
0.03877529501914978,
0.04525061696767807,
0.005215698853135109,
-0.0026078494265675545,
-0.008132467046380043,
0.0796196311712265,
-0.007160210981965065,
0.09004144370555878,
0.029847782105207443,
0.009818349033594131,
0.019531330093741417,
0.02116931974887848,
0.00713147409260273,
-0.05724336951971054,
-0.07701417058706284,
-0.002031919313594699,
0.03134208545088768,
0.0044254413805902,
0.03046083077788353,
-0.046553343534469604,
0.003182582091540098,
-0.03810477256774902,
0.0060442714020609856,
0.0268974881619215,
0.03417743369936943,
0.005503064952790737,
0.014885575510561466,
-0.02320004068315029,
0.015326203778386116,
-0.004717597272247076,
-0.008975408039987087,
0.001396121340803802,
0.03153366595506668,
-0.06536626070737839,
0.006652530282735825,
-0.021648263558745384,
-0.0017529345350340009,
0.005335434805601835,
-0.0316869281232357,
0.04521230235695839,
-0.007792416960000992,
-0.029866939410567284,
-0.0174143984913826,
0.019224807620048523,
0.03563342243432999,
-0.003898603143170476,
-0.03590163215994835,
0.005234856624156237,
0.027165696024894714,
-0.012653697282075882,
-0.02672506868839264,
-0.018228603526949883,
0.046591658145189285,
0.01250043511390686,
0.030307568609714508,
0.007452366407960653,
-0.018161552026867867,
-0.02404298260807991,
-0.03758751600980759,
0.032817233353853226,
0.016581036150455475,
-0.056860215961933136,
0.0005708412500098348,
-0.016676826402544975,
-0.05981051176786423,
-0.024368664249777794,
0.013094325549900532,
-0.05463791638612747,
0.00012692013115156442,
-0.003716604318469763,
0.07203315943479538,
-0.02852589637041092,
-0.08214845508337021,
0.04337315633893013,
0.010996551252901554,
-0.027491377666592598,
0.044829145073890686,
-0.001730184769257903,
0.02304677851498127,
-0.042453583329916,
-0.037434253841638565,
-0.05260719358921051,
0.012730328366160393,
0.0037932354025542736,
-0.005857483483850956,
-0.03793235495686531,
0.02323835715651512,
0.011944860219955444,
-0.03243407979607582,
-0.03503953292965889,
-0.015019679442048073,
0.011446758173406124,
0.04544219374656677,
0.0007890600245445967,
-0.01066129095852375,
-0.0022486415691673756,
-0.02507750131189823,
0.00309158256277442,
-0.00642742682248354,
-0.01244296133518219,
0.015364519320428371,
-0.013180535286664963,
0.04318157956004143,
-0.0010704395826905966,
0.00598679855465889,
0.008031888864934444,
-0.06164965406060219,
-0.006240638438612223,
0.010345187969505787,
-0.012107701040804386,
0.0028377424459904432,
0.0005516834789887071,
-0.008826935663819313,
-0.026284439489245415,
0.024272875860333443,
0.011954438872635365,
0.009123880416154861,
-0.04820091277360916,
0.01148507371544838,
-0.06341216713190079,
0.0277787446975708,
0.013669057749211788,
-0.018343551084399223,
-0.014310842379927635,
-0.004236258566379547,
0.04161064326763153,
-0.027050750330090523,
0.008065414614975452,
0.018650073558092117,
0.018496811389923096,
0.01008655782788992,
0.017538923770189285,
-0.02952210046350956,
-0.001888236147351563,
-0.004111733287572861,
0.02676338329911232,
0.0422620065510273,
0.010326029732823372,
0.018401023000478745,
0.016130829229950905,
0.053871605545282364,
0.030135149136185646,
0.06528963148593903,
0.007145842537283897,
0.008664094842970371,
-0.029713677242398262,
-0.040307916700839996,
0.03519279509782791,
0.04525061696767807,
0.0006866857875138521,
0.05092131346464157,
-0.013506216928362846,
0.010029084980487823,
0.0064226374961435795,
-0.03166776895523071,
-0.06306733191013336,
0.0005714399158023298,
-0.044714201241731644,
0.08475390821695328,
0.007236842066049576,
-0.01711745373904705,
-0.035614266991615295,
-0.011446758173406124,
0.02312340959906578,
-0.017261136323213577,
0.018314814195036888,
-0.05440802499651909,
0.004178785253316164,
0.06525131314992905,
0.002292943885549903,
0.019885748624801636,
0.0053498027846217155,
-0.010565501637756824,
0.0050384895876049995,
0.009593245573341846,
0.013343376107513905,
0.009430404752492905,
0.02017311565577984,
0.02505834400653839,
-0.02779790200293064,
-0.013218850828707218,
-0.0038483140524476767,
0.006848897319287062,
-0.03392838314175606,
0.006063429173082113,
0.019023651257157326,
0.018104078248143196,
-0.009396879002451897,
0.04413946717977524,
0.03890940174460411,
0.027395589277148247,
0.013956424780189991,
-0.0013817530125379562,
0.0013805556809529662,
0.0039441026747226715,
-0.010642132721841335,
0.08383433520793915,
0.03601657971739769,
-0.0012129253009334207,
0.019732488319277763,
-0.04685986787080765,
0.0009501049062237144,
-0.04072938486933708,
-0.008721567690372467,
0.046553343534469604,
0.0213225819170475,
-0.01148507371544838,
0.011092339642345905,
-0.04919711500406265,
-0.02490508183836937,
0.005546169821172953,
-0.023487407714128494,
-0.004571519326418638,
0.016973771154880524,
-0.0035825001541525126,
0.0444076769053936,
-0.0039967866614460945,
-0.02785537578165531,
-0.03768330439925194,
-0.017356926575303078,
-0.0017098296666517854,
-0.045863665640354156,
-0.01206938549876213,
0.019770802929997444,
0.024464452639222145,
-0.01627451181411743,
-0.017740080133080482,
-0.00459786131978035,
0.028085269033908844,
0.009736929088830948,
0.02494339644908905,
-0.003608842147514224,
0.05463791638612747,
0.009186143055558205,
0.012624960392713547,
-0.013736110180616379,
0.03701278194785118,
-0.014626945368945599,
0.048584066331386566,
0.01657145842909813,
-0.02940715290606022,
-0.02768295630812645,
-0.004514046013355255,
0.009353773668408394,
-0.01856386475265026,
0.0037453409750014544,
0.015450729057192802,
0.02590128406882286,
0.019617540761828423,
0.00625021755695343,
-0.004545177333056927,
0.00556532759219408,
0.029292207211256027,
-0.02873663231730461,
0.019081123173236847,
0.003987207543104887,
0.013975582085549831,
0.0066477409563958645,
0.001110551063902676,
0.04823922738432884,
0.03256818279623985,
-0.004681676160544157,
-0.05011668801307678,
0.0029646626207977533,
-0.03421574831008911,
0.014799365773797035,
-0.012098122388124466,
0.03473300859332085,
-0.004487704019993544,
-0.03722351789474487,
0.04498240724205971,
-0.004231469240039587,
-0.020958583801984787,
-0.0018367497250437737,
0.03318123146891594,
0.043947890400886536,
-0.01015361025929451,
-0.031093036755919456,
-0.01604462042450905,
-0.006216691341251135,
-0.005838325712829828,
-0.01161917857825756,
0.035652581602334976,
-0.04168727248907089,
0.0008968223701231182,
0.02940715290606022,
0.019320596009492874,
0.027165696024894714,
0.026993276551365852,
0.031706083565950394,
-0.023564038798213005,
0.057626526802778244,
-0.031131351366639137,
-0.04237695410847664,
-0.01519209984689951,
0.005756905302405357,
-0.0119831757619977,
-0.01521125715225935,
0.009564508683979511,
0.028909051790833473,
-0.04548050835728645,
-0.02203141711652279,
-0.04084433242678642,
-0.014818523079156876,
-0.027165696024894714,
-0.0028257688973098993,
-0.04344978928565979,
-0.016791772097349167,
-0.04149569571018219,
-0.02674422599375248,
-0.03387090936303139,
0.011350969783961773,
-0.046515028923749924,
0.016753455623984337,
0.0369744673371315,
0.04222369194030762,
-0.011686230078339577,
-0.0017182111041620374,
-0.04253021627664566,
0.028315162286162376,
0.05812462791800499,
-0.026054546236991882,
-0.02228046953678131,
-0.006599846296012402,
-0.013094325549900532,
-0.0014236606657505035,
0.04046117886900902,
-0.00013096121256239712,
-0.0049810162745416164,
-0.01296022068709135,
0.029751993715763092,
0.009583666920661926,
0.018420180305838585,
0.06797171384096146,
-0.020575428381562233,
0.023564038798213005,
0.02687832899391651,
0.03758751600980759,
0.01717492751777172,
-0.04321989417076111,
-0.029062313959002495,
-0.00026297010481357574,
-0.0036758941132575274,
0.0013326613698154688,
0.021495001390576363,
-0.0590825155377388,
0.016303248703479767,
0.06069176644086838,
0.04965690150856972,
0.009119091555476189,
-0.004435020033270121,
-0.019081123173236847,
0.03295133635401726,
-0.05329687520861626,
-0.015019679442048073,
0.013065588660538197,
0.05072973296046257,
0.008295307867228985,
0.03806645795702934,
0.018908703699707985,
0.022357100620865822,
-0.01889912597835064,
0.022337941452860832,
-0.011944860219955444,
0.03398585692048073,
-0.04866069555282593,
-0.010239819996058941,
-0.00265334895811975,
0.004317678976804018,
0.01331463921815157,
-0.031093036755919456,
-0.005225277505815029,
0.0665157213807106,
-0.024694345891475677,
0.027874533087015152,
0.021035214886069298,
-0.00809894036501646,
0.012040648609399796,
0.045710403472185135,
-0.011829913593828678,
0.02860252745449543,
0.0033861331176012754,
0.017692185938358307,
-0.007591260131448507,
0.023659827187657356,
0.021705735474824905,
0.03494374454021454,
-0.02488592267036438,
-0.05640042945742607,
0.002436626935377717,
0.008932302705943584,
-0.020958583801984787,
0.02781705930829048,
-0.03262565657496452,
0.12100037932395935,
-0.060346927493810654,
-0.00460743997246027,
-0.04777944087982178,
-0.003577710594981909,
0.01337211299687624,
-0.04816259443759918,
-0.019109860062599182,
-0.0004029115370940417,
-0.0049283322878181934,
-0.025613918900489807,
0.04042286425828934,
0.060615137219429016,
-0.010393082164227962,
0.005934114567935467,
-0.024541083723306656,
0.00037237885408103466,
0.00814683549106121,
0.030824827030301094,
-0.03787488117814064,
0.027529694139957428,
0.02130342274904251,
0.017404820770025253,
-0.006489689461886883,
-0.019866591319441795,
-0.007682259660214186,
0.040116339921951294,
-0.0170216653496027,
0.041955482214689255,
0.03413911908864975,
-0.03682120516896248,
0.027108222246170044,
-0.021954786032438278,
-0.006528005003929138,
-0.045787032693624496,
0.045787032693624496,
-0.02302762120962143,
0.02212720736861229,
-0.010306872427463531,
-0.0028305582236498594,
-0.00757210236042738,
-0.0004663715953938663,
0.01670556142926216,
0.006489689461886883,
0.012098122388124466,
-0.008285729214549065,
-0.019962379708886147,
-0.009119091555476189,
-0.042875055223703384,
-0.04594029486179352,
0.022836044430732727,
0.011734125204384327,
-0.05996377393603325,
-0.019866591319441795,
0.014722734689712524,
0.027529694139957428,
0.00026940592215396464,
-0.009243616834282875,
0.04260684549808502,
0.018257340416312218,
0.005977219436317682,
0.005603643134236336,
-0.020019853487610817,
0.04413946717977524,
0.012308857403695583,
-0.020594585686922073,
-0.017826290801167488,
0.00138893723487854,
-0.050346579402685165,
-0.015326203778386116,
-0.001461976207792759,
-0.0016499615740031004,
-0.06643909215927124,
-0.04145738109946251,
-0.013496638275682926,
0.0018259735079482198,
-0.0024114823900163174,
0.012040648609399796,
0.04885227605700493,
0.009430404752492905,
0.07053885608911514,
0.03571005538105965,
-0.03298965469002724,
0.02304677851498127,
0.020805321633815765,
0.03172524273395538,
0.0031777925323694944,
0.013056010007858276,
0.016858823597431183,
-0.05935072526335716,
-0.010029084980487823,
-0.04517398402094841,
0.024177085608243942,
-0.026476016268134117,
-0.012730328366160393,
0.04329652711749077,
-0.029713677242398262,
0.0065950569696724415,
0.02567139081656933,
-0.001955288229510188,
-0.042836740612983704,
0.018266920000314713,
0.02115016058087349,
0.004159627482295036,
0.00713626341894269,
0.0054839071817696095,
0.025633076205849648,
-0.03864119201898575,
0.014626945368945599,
-0.007773259188979864,
0.02754885144531727,
-0.046783238649368286,
0.028870737180113792,
0.014856838621199131,
-0.0034460010938346386,
-0.026954960078001022,
0.05153436213731766,
-0.042032115161418915,
0.02674422599375248,
0.004391915164887905,
-0.02224215306341648,
-0.022491203621029854,
0.004087785724550486,
0.012644117698073387,
-0.016858823597431183,
0.02297014743089676,
-0.01659061573445797,
-0.013132641091942787,
0.002359995851293206,
-0.03720435872673988,
-0.007988783530890942,
0.005771273747086525,
-0.04130411893129349,
-0.010862447321414948,
0.004698439501225948,
-0.03061409294605255,
0.01842975988984108,
-0.0008507240563631058,
0.006073008291423321,
-0.03327701985836029,
0.015814727172255516,
-0.05812462791800499,
0.0015026864130049944,
-0.02775958739221096,
-0.0534118190407753,
-0.04931206256151199,
0.004389520734548569,
-0.012988957576453686,
0.05885262414813042,
-0.01657145842909813,
0.015086731873452663,
-0.008649726398289204,
-0.027453063055872917,
0.002021143212914467,
0.0023372459691017866,
-0.010814552195370197,
0.03869866579771042,
-0.036495521664619446,
-0.026150334626436234,
0.012768643908202648,
0.022721096873283386,
0.026226965710520744,
-0.000905802589841187,
-0.03858371824026108,
0.009502246044576168,
0.008980197831988335,
-0.030997246503829956,
-0.012883590534329414,
-0.03515448048710823,
-0.025384025648236275,
-0.0038578929379582405,
-0.006077797617763281,
0.03155282139778137,
0.03410080447793007,
0.0350203774869442,
0.0440245196223259,
0.006901581306010485,
0.019675014540553093,
-0.005105541553348303,
-0.0555574893951416,
0.014789787121117115,
-0.021514158695936203,
-0.011207286268472672,
0.016379879787564278,
-0.0011500639375299215,
0.0051246993243694305,
0.01811365783214569,
0.04685986787080765,
0.03490542992949486,
0.003352607134729624,
-0.03429238125681877,
-0.010776236653327942,
-0.02480929158627987,
0.04141906648874283,
-0.01762513443827629,
0.005282750818878412,
-0.024349506944417953,
0.03126545622944832,
0.012241804972290993,
-0.03251070901751518,
-0.012653697282075882,
0.016581036150455475,
0.03484795615077019,
0.012912326492369175,
-0.03436901047825813,
-0.0009704600088298321,
-0.02871747501194477,
0.009315458126366138,
0.04157232865691185,
-0.050269950181245804,
0.030729038640856743,
-0.009612403810024261,
-0.014885575510561466,
0.024694345891475677,
0.0044996775686740875,
-0.009219669736921787,
-0.013439164496958256,
0.0026054545305669308,
-0.025249920785427094,
-0.005713800434023142,
0.05655369162559509,
0.0065950569696724415,
-0.02595875784754753,
0.004573913756757975,
0.02228046953678131,
0.0007267973269335926,
0.0056754848919808865,
0.01572851650416851,
-0.047664493322372437,
-0.020939426496624947,
-0.04268347844481468,
0.06195617839694023,
0.0018020262941718102,
0.0130081158131361,
0.03620815649628639,
0.0035872894804924726,
-0.0714201107621193,
0.031246298924088478,
-0.01796039566397667,
0.033564385026693344,
-0.004609834868460894,
0.029062313959002495,
0.007763680070638657,
0.012155595235526562,
0.008443780243396759,
0.0021025636233389378,
-0.008807777427136898,
-0.02019227296113968,
0.06536626070737839,
-0.07329756766557693,
0.052262354642152786,
-0.03526942804455757
] |
The rapid rise in cloud computing has resulted in an alarming increase in
data centers' carbon emissions, which now accounts for >3% of global greenhouse
gas emissions, necessitating immediate steps to combat their mounting strain on
the global climate. An important focus of this effort is to improve resource
utilization in order to save electricity usage. Our proposed Full Scaling
Automation (FSA) mechanism is an effective method of dynamically adapting
resources to accommodate changing workloads in large-scale cloud computing
clusters, enabling the clusters in data centers to maintain their desired CPU
utilization target and thus improve energy efficiency. FSA harnesses the power
of deep representation learning to accurately predict the future workload of
each service and automatically stabilize the corresponding target CPU usage
level, unlike the previous autoscaling methods, such as Autopilot or FIRM, that
need to adjust computing resources with statistical models and expert
knowledge. Our approach achieves significant performance improvement compared
to the existing work in real-world datasets. We also deployed FSA on
large-scale cloud computing clusters in industrial data centers, and according
to the certification of the China Environmental United Certification Center
(CEC), a reduction of 947 tons of carbon dioxide, equivalent to a saving of
1538,000 kWh of electricity, was achieved during the Double 11 shopping
festival of 2022, marking a critical step for our company's strategic goal
towards carbon neutrality by 2030. | [
-0.02571926824748516,
0.003483022563159466,
-0.01594909466803074,
-0.012790760956704617,
0.01413871068507433,
-0.0250895693898201,
-0.014935673214495182,
0.03721127659082413,
-0.02729351632297039,
0.03666028752923012,
0.026171864941716194,
-0.04329180717468262,
-0.008653441444039345,
-0.0020366827957332134,
-0.01472905371338129,
0.0047104437835514545,
-0.006095289718359709,
-0.008796107955276966,
0.04773905500769615,
-0.06249762699007988,
-0.027136091142892838,
-0.007979467511177063,
-0.014827444218099117,
0.006720069330185652,
-0.008368109352886677,
0.041087862104177475,
-0.0001321353338425979,
0.027529653161764145,
-0.06478028744459152,
0.038450997322797775,
0.0424259714782238,
0.04356729984283447,
-0.03996621072292328,
-0.020721033215522766,
-0.050100427120923996,
-0.014237101189792156,
0.060647886246442795,
-0.004843270871788263,
0.021960752084851265,
0.03953329101204872,
-0.004484145902097225,
-0.027057379484176636,
-0.04561382159590721,
0.041048504412174225,
0.03018619678914547,
-0.04230790212750435,
-0.020780067890882492,
-0.02666381746530533,
-0.010508102364838123,
-0.031701408326625824,
0.03620769456028938,
-0.048998452723026276,
0.009597990661859512,
0.0064642541110515594,
-0.03215400502085686,
0.020799744874238968,
0.02164590358734131,
0.060726597905159,
0.03380696475505829,
-0.00320506957359612,
0.060096900910139084,
0.04037944972515106,
-0.038883913308382034,
-0.002192877698689699,
-0.028769373893737793,
0.008284477517008781,
-0.007251377683132887,
0.06304861605167389,
0.0008049570606090128,
-0.02406630851328373,
-0.08201829344034195,
0.013184322975575924,
0.0036773437168449163,
-0.010252286680042744,
0.02571926824748516,
-0.010281804017722607,
0.024676330387592316,
-0.011934763751924038,
-0.005544302985072136,
-0.010675366036593914,
0.005549222696572542,
0.011826534755527973,
-0.01606716401875019,
-0.016214748844504356,
0.04356729984283447,
0.00013682425196748227,
-0.045338328927755356,
-0.08012919872999191,
0.0039749750867486,
0.006055933423340321,
-0.08666232973337173,
0.008732154034078121,
0.0042750658467411995,
-0.007999145425856113,
0.009455324150621891,
0.03776226192712784,
-0.06474092602729797,
-0.013459816575050354,
-0.004159457050263882,
0.03634544089436531,
-0.095084547996521,
0.029221970587968826,
0.012131544761359692,
-0.033393725752830505,
0.0632847473025322,
-0.022984012961387634,
-0.05915234982967377,
0.051556605845689774,
0.0005571360234171152,
0.10146025568246841,
-0.019225498661398888,
0.010537619702517986,
-0.014502755366265774,
0.02428276836872101,
-0.019314048811793327,
0.01875322312116623,
0.010262126103043556,
-0.029399072751402855,
0.02959585376083851,
0.016519760712981224,
0.03823453560471535,
0.026467036455869675,
-0.013607402332127094,
-0.015378430485725403,
-0.026427680626511574,
0.0717463344335556,
0.03673900291323662,
-0.1111418753862381,
0.05202887952327728,
-0.03890359029173851,
-0.051202401518821716,
0.02469600737094879,
-0.029812311753630638,
-0.006316668353974819,
0.03583380952477455,
-0.009804610162973404,
0.048919741064310074,
0.00588866975158453,
0.009479922242462635,
-0.024204054847359657,
-0.014109193347394466,
0.01785787008702755,
-0.022039465606212616,
0.030304264277219772,
-0.03400374576449394,
-0.0031189778819680214,
-0.06308797001838684,
0.06466221809387207,
-0.028336456045508385,
0.00576076190918684,
-0.0422685444355011,
0.03762451559305191,
0.015122615732252598,
0.056476131081581116,
0.01916646398603916,
-0.018723705783486366,
0.018822096288204193,
0.018900809809565544,
-0.023535000160336494,
0.016254106536507607,
0.018546603620052338,
-0.0066069201566278934,
-0.01696251705288887,
0.007703973911702633,
0.024420514702796936,
-0.012938346713781357,
0.032586924731731415,
0.042071763426065445,
-0.04065494239330292,
0.04187498241662979,
0.04801454767584801,
0.010862307623028755,
-0.007915513589978218,
0.019924070686101913,
-0.007758088409900665,
0.020347150042653084,
0.047975193709135056,
-0.00027395595679990947,
-0.01162975374609232,
0.07497353851795197,
-0.004169296007603407,
0.029792634770274162,
0.037565480917692184,
0.012810438871383667,
0.02567991241812706,
0.02550281025469303,
-0.00499577634036541,
-0.010695043951272964,
0.013577884994447231,
-0.07552452385425568,
0.022000109776854515,
0.023790815845131874,
0.09169992059469223,
-0.01636233553290367,
-0.0132630355656147,
-0.008240201510488987,
0.00839762669056654,
0.02615218609571457,
0.023180793970823288,
-0.014778248965740204,
-0.08540292829275131,
-0.03614865988492966,
-0.004897385835647583,
0.03091428615152836,
-0.0051802583038806915,
0.02109491638839245,
0.04144206643104553,
-0.022944657132029533,
0.043173737823963165,
-0.028454523533582687,
-0.005391797982156277,
0.015929417684674263,
-0.06722036749124527,
-0.023397253826260567,
0.03372825309634209,
-0.009371692314743996,
0.03864777833223343,
0.018251432105898857,
-0.009238865226507187,
-0.03205561637878418,
-0.03532217815518379,
-0.02113427221775055,
0.030068127438426018,
-0.013272874057292938,
-0.009873483330011368,
-0.056436773389577866,
0.030068127438426018,
-0.011954442597925663,
-0.011452650651335716,
-0.01619507186114788,
-0.05069077014923096,
-0.043095026165246964,
-0.009725897572934628,
0.019235337153077126,
0.07068371027708054,
-0.01611635833978653,
-0.04407893121242523,
0.025601200759410858,
-0.04455120489001274,
0.0037167000118643045,
0.004862948786467314,
0.017995616421103477,
-0.021311376243829727,
-0.023535000160336494,
0.02597508393228054,
-0.0024351640604436398,
-0.01768076792359352,
0.09240832924842834,
0.01998310536146164,
-0.0042750658467411995,
-0.07961756736040115,
-0.03557799383997917,
-0.016293462365865707,
0.026919633150100708,
0.024459870532155037,
-0.01607700251042843,
0.025778302922844887,
0.007546549197286367,
-0.030382977798581123,
0.045771244913339615,
0.006508529651910067,
0.0385887436568737,
-0.0015656383475288749,
0.051714032888412476,
-0.05301278457045555,
0.022059142589569092,
0.029300682246685028,
0.04612545296549797,
0.05332763493061066,
0.04714871197938919,
0.0008781349752098322,
-0.03805743530392647,
-0.022354314103722572,
-0.024755042046308517,
-0.031996581703424454,
-0.03711288422346115,
-0.020347150042653084,
0.01047858502715826,
0.0030378056690096855,
-0.004361157771199942,
-0.02249206230044365,
-0.02125234156847,
0.07780718058347702,
0.0165394376963377,
-0.05557093769311905,
-0.05124175548553467,
-0.0039306990802288055,
-0.045810602605342865,
-0.07607550919055939,
-0.006907010916620493,
-0.06430801004171371,
-0.04915587976574898,
-0.020898135378956795,
0.03728998824954033,
0.009932518005371094,
-0.0006011042860336602,
0.010301481932401657,
0.015171810053288937,
0.0024437732063233852,
-0.005608256906270981,
-0.045771244913339615,
0.013174483552575111,
0.06190728396177292,
0.012721887789666653,
-0.0001718758576316759,
0.04348858818411827,
-0.006065772380679846,
0.011108283884823322,
-0.0005798888159915805,
0.06033303588628769,
0.05257986858487129,
-0.008294316940009594,
0.0028164272662252188,
-0.03813614696264267,
-0.0005934174987487495,
0.06981787830591202,
0.008446821942925453,
-0.043173737823963165,
-0.0847732275724411,
-0.03559767082333565,
0.024125343188643456,
0.01611635833978653,
-0.11806856095790863,
0.07296637445688248,
0.007925352081656456,
-0.014768409542739391,
-0.02418437786400318,
0.04199305176734924,
0.002187957987189293,
-0.00494166137650609,
0.0019444416975602508,
-0.010704883374273777,
-0.01413871068507433,
0.006237955763936043,
0.042740821838378906,
-0.0029098980594426394,
-0.024204054847359657,
0.03388567641377449,
-0.02725416049361229,
0.05549222603440285,
0.0033280577044934034,
-0.04392150416970253,
-0.042150478810071945,
0.0052442122250795364,
0.007369446102529764,
-0.01309577189385891,
-0.009470082819461823,
0.014394525438547134,
-0.03349211439490318,
-0.007585905026644468,
0.0013516390463337302,
0.008997808210551739,
0.041560135781764984,
-0.022137856110930443,
0.048526179045438766,
-0.040025241672992706,
-0.012377521023154259,
0.003079621819779277,
-0.04096979275345802,
0.00258274981752038,
0.0004562858084682375,
-0.05501995235681534,
0.0021547512151300907,
0.021055560559034348,
-0.004407892934978008,
0.04817197471857071,
0.0450628362596035,
-0.03252789005637169,
0.022373992949724197,
0.02278723381459713,
-0.02304304763674736,
0.053130853921175,
0.013764826580882072,
0.016165554523468018,
-0.02908422239124775,
-0.021272020414471626,
0.007703973911702633,
0.008004064671695232,
-0.03616833686828613,
0.043764080852270126,
0.041638847440481186,
0.04018266871571541,
0.03237046301364899,
0.025660235434770584,
0.03242949768900871,
0.04034009203314781,
0.008333672769367695,
-0.03140623867511749,
-0.006247794721275568,
0.05411475896835327,
-0.02550281025469303,
-0.04667643830180168,
-0.035302501171827316,
-0.054823171347379684,
0.007935191504657269,
-0.03244917839765549,
0.0224527046084404,
-0.007566227111965418,
-0.005273729097098112,
-0.06241891533136368,
-0.0010736860567703843,
0.041087862104177475,
-0.020858779549598694,
0.05147789418697357,
-0.05938848853111267,
0.0030009092297405005,
0.0006991872796788812,
-0.04884102940559387,
0.0171396192163229,
0.019314048811793327,
-0.05600385740399361,
-0.05175338685512543,
-0.036581575870513916,
0.0024413135834038258,
0.03872648999094963,
0.06757457554340363,
-0.030461689457297325,
0.024223733693361282,
-0.03227207437157631,
-0.010070264339447021,
-0.027411585673689842,
0.034121815115213394,
0.0396316796541214,
0.02201978676021099,
0.006272392347455025,
0.012485750950872898,
0.05446896329522133,
-0.005991979502141476,
-0.0016677185194566846,
0.009061762131750584,
0.00897321105003357,
0.0075170318596065044,
-0.029261326417326927,
-0.0027647721581161022,
-0.020721033215522766,
0.031268492341041565,
0.037014495581388474,
0.03266563639044762,
-0.0071382285095751286,
-0.01166910957545042,
-0.038037754595279694,
-0.05183209851384163,
0.004405433312058449,
-0.00973573699593544,
-0.04439378157258034,
-0.040497519075870514,
-0.003542057005688548,
0.019589543342590332,
-0.003556815441697836,
-0.03967103734612465,
-0.07343864440917969,
-0.01534891314804554,
-0.08001112937927246,
0.025227315723896027,
-0.04455120489001274,
-0.004548099357634783,
0.00677910353988409,
-0.031780123710632324,
0.025109248235821724,
-0.01943211816251278,
0.05828651413321495,
0.052776649594306946,
0.020780067890882492,
-0.02640800178050995,
0.019225498661398888,
0.04947073012590408,
-0.07930272072553635,
-0.05836522579193115,
0.019609220325946808,
0.054783813655376434,
-0.015831027179956436,
-0.0058050379157066345,
-0.001050933264195919,
0.04939201474189758,
-0.008751831948757172,
0.012830117717385292,
-0.018005456775426865,
-0.06041174754500389,
-0.02109491638839245,
-0.04809326305985451,
0.0041373190470039845,
0.012938346713781357,
0.01963873766362667,
-0.04561382159590721,
-0.0032026097178459167,
0.04612545296549797,
0.0048703281208872795,
0.008131972514092922,
-0.021704938262701035,
-0.01633281819522381,
-0.040497519075870514,
0.0027057379484176636,
-0.004897385835647583,
-0.012928508222103119,
-0.022924980148673058,
0.010104700922966003,
-0.0192550141364336,
-0.012623497284948826,
0.013991124927997589,
-0.029005510732531548,
-0.047502920031547546,
0.015870383009314537,
-0.035223789513111115,
-0.007713812869042158,
-0.02894647605717182,
0.019658416509628296,
0.05679097771644592,
0.005401636939495802,
-0.022806910797953606,
0.004311962518841028,
-0.028238065540790558,
0.047384850680828094,
-0.008540293201804161,
-0.0015324315754696727,
-0.02428276836872101,
0.06832234561443329,
0.03854938596487045,
-0.0344366654753685,
0.009504519402980804,
0.026624461635947227,
-0.008948612958192825,
0.00020554383809212595,
0.019038556143641472,
0.0019948668777942657,
-0.02564055658876896,
0.0023785897064954042,
0.04722742736339569,
0.010822951793670654,
0.048526179045438766,
-0.014424042776226997,
-0.024892788380384445,
0.06045110523700714,
-0.03898230567574501,
-0.026034118607640266,
0.008186087012290955,
-0.01964857615530491,
0.006877494044601917,
0.053839266300201416,
-0.026289934292435646,
-0.02487311139702797,
-0.018428534269332886,
0.03162269666790962,
-0.023220151662826538,
0.009322497062385082,
0.003709320677444339,
0.01487663947045803,
0.027942894026637077,
-0.016136037185788155,
0.02780514769256115,
-0.007713812869042158,
-0.006562644150108099,
-0.02993038110435009,
-0.027746113017201424,
0.03780161961913109,
-0.0076203420758247375,
-0.03575509786605835,
-0.005706647410988808,
-0.017110101878643036,
0.014542111195623875,
-0.05919170752167702,
-0.023692425340414047,
-0.018084168434143066,
0.015063581056892872,
-0.018674511462450027,
-0.00011176542466273531,
0.010173575021326542,
0.018438374623656273,
0.05458703264594078,
-0.024853432551026344,
0.007197262719273567,
0.006990642752498388,
-0.051714032888412476,
-0.007403882686048746,
-0.007000482175499201,
-0.04651901498436928,
0.023318542167544365,
0.0029394153971225023,
-0.024302445352077484,
-0.02066199854016304,
0.01443388219922781,
-0.0033993907272815704,
-0.03748676925897598,
0.017543021589517593,
0.01899920031428337,
0.02827742137014866,
0.033393725752830505,
-0.0018485109321773052,
-0.05686969310045242,
0.015073420479893684,
-0.024892788380384445,
0.0026491633616387844,
0.000047619450924685225,
-0.045810602605342865,
0.00001452796823286917,
-0.023712104186415672,
0.03912005200982094,
-0.023456288501620293,
0.0077630081214010715,
0.04305566847324371,
-0.05679097771644592,
0.0002894831995945424,
0.03545992448925972,
0.012200417928397655,
-0.003035346046090126,
-0.02048489637672901,
0.008048340678215027,
0.021350732073187828,
0.0067446669563651085,
0.014109193347394466,
0.03278370574116707,
0.05679097771644592,
0.014542111195623875,
0.03477119281888008,
-0.019992943853139877,
0.01870402880012989,
0.005318005103617907,
0.06800749152898788,
0.021606547757983208,
-0.00969638116657734,
-0.02575862593948841,
0.0265260711312294,
-0.010419550351798534,
0.03770322725176811,
0.016047485172748566,
-0.02615218609571457,
0.035558316856622696,
0.0025064973160624504,
-0.017110101878643036,
-0.025109248235821724,
-0.0034559653140604496,
0.008771510794758797,
-0.041520778089761734,
-0.03927747532725334,
-0.028041284531354904,
0.02934003807604313,
-0.01615571603178978,
0.014079676009714603,
-0.009494679979979992,
0.004961339291185141,
-0.02699834480881691,
-0.015506338328123093,
0.02083910070359707,
0.02678188681602478,
0.07796461135149002,
0.004029089584946632,
-0.0062625533901154995,
-0.018694188445806503,
-0.003856906434521079,
0.03128816932439804,
0.038883913308382034,
0.035951878875494,
-0.00048795522889122367,
0.024971501901745796,
0.04089108109474182,
-0.005746003240346909,
-0.00405122758820653,
0.052186306565999985,
-0.01269237045198679,
0.006493770983070135,
-0.006415058858692646,
0.0030599436722695827,
-0.021960752084851265,
0.008028662763535976,
-0.02674252912402153,
0.011580558493733406,
0.002139992779120803,
-0.010931180790066719,
0.033393725752830505,
0.02802160568535328,
0.018123524263501167,
-0.02678188681602478,
0.012938346713781357,
-0.004885086789727211,
0.027096735313534737,
0.011492006480693817,
-0.031012676656246185,
0.04069430008530617,
0.05844394117593765,
0.016657507047057152,
0.007325170561671257,
-0.024223733693361282,
-0.005800118204206228,
0.014374847523868084,
0.013499172404408455,
-0.05868007615208626,
-0.007812203373759985,
-0.05139918252825737,
0.039690714329481125,
-0.025738947093486786,
-0.01267269253730774,
-0.043764080852270126,
0.012721887789666653,
0.0045899152755737305,
-0.03874616697430611,
-0.0064052194356918335,
0.03150462731719017,
-0.019550185650587082,
0.013361426070332527,
0.036758679896593094,
-0.022216567769646645,
-0.004575157072395086,
-0.01985519751906395,
-0.007531790528446436,
0.02989102527499199,
0.00888465903699398,
0.02567991241812706,
-0.014059998095035553,
-0.017277367413043976,
0.004936741665005684,
-0.03469248116016388,
-0.0013639378594234586,
0.021153951063752174,
-0.007541629485785961,
0.017021551728248596,
0.021153951063752174,
0.02282658964395523,
-0.010419550351798534,
-0.010616331361234188,
-0.0331575870513916,
0.01798577792942524,
-0.014522433280944824,
0.000353283277945593,
-0.02015036903321743,
-0.07099856436252594,
-0.03784097358584404,
-0.004139779135584831,
0.021586868911981583,
0.011088605970144272,
-0.08571777492761612,
-0.012574302032589912,
0.027687078341841698,
-0.05195016786456108,
-0.05663355439901352,
-0.0005060959956608713,
0.022511739283800125,
0.015634246170520782,
0.0191763024777174,
0.07698070257902145,
-0.032764025032520294,
0.03839196264743805,
0.00010569288861006498,
0.005598417948931456,
0.038195181638002396,
0.008171328343451023,
-0.004065986257046461,
0.019914230331778526,
-0.015585050918161869,
0.012534946203231812,
-0.00015665608225390315,
-0.0007963478565216064,
0.025699591264128685,
-0.04588931426405907,
0.04026138037443161,
-0.0033575748093426228,
-0.05462639033794403,
0.03532217815518379,
-0.03010748326778412,
-0.013204000890254974,
0.0004824207862839103,
0.06993594765663147,
-0.025660235434770584,
0.024046631529927254,
-0.013607402332127094,
-0.018900809809565544,
0.05714518576860428,
-0.016175393015146255,
0.015594889409840107,
-0.00655772490426898,
0.014000964350998402,
-0.0191763024777174,
0.012603819370269775,
-0.011246031150221825,
0.05285536125302315,
-0.028710339218378067,
-0.033984068781137466,
0.0422685444355011,
-0.007093952968716621,
0.004206192679703236,
0.01951082982122898,
0.015339074656367302,
-0.04148142412304878,
0.010645848698914051,
-0.0264867153018713,
0.026762207970023155,
-0.020937491208314896,
-0.01152152381837368,
0.0021486019250005484,
-0.03333469107747078,
0.043095026165246964,
0.07847624272108078,
-0.024046631529927254,
0.026585105806589127,
0.007089033257216215,
0.00715298717841506,
0.032035935670137405,
-0.01505374163389206,
-0.022334637120366096,
-0.03673900291323662,
-0.025010857731103897,
-0.055413514375686646,
0.03890359029173851,
0.0032739429734647274,
-0.007428480312228203,
0.03945457935333252,
0.0016062244540080428,
-0.01845805160701275,
0.03303952142596245,
-0.02402695268392563,
-0.011324742808938026,
0.0037339183036237955,
0.023062726482748985,
0.04073365405201912,
-0.010537619702517986,
0.05891621485352516,
0.004624352324754,
-0.05549222603440285,
-0.05820780247449875,
0.030874930322170258,
-0.06513448804616928,
-0.04616480693221092,
-0.020465217530727386,
-0.004139779135584831,
0.03695546090602875,
0.0061198873445391655,
-0.035951878875494,
0.04600738361477852,
0.03374793007969856,
0.03852970898151398,
0.0528160035610199,
-0.011580558493733406,
0.022098500281572342,
0.015663763508200645,
-0.034928616136312485,
0.025916049256920815,
-0.0038421477656811476,
0.0138632170855999,
0.014551950618624687,
0.016824770718812943,
-0.041520778089761734,
0.006754505913704634,
0.013272874057292938,
-0.0022322337608784437,
-0.004501364193856716,
0.006444575730711222,
-0.0026147267781198025,
-0.0027254160959273577,
-0.050572700798511505,
-0.013085932470858097,
0.011983959004282951,
0.00407090550288558,
0.009701300412416458,
0.03010748326778412,
0.02015036903321743,
-0.009371692314743996,
-0.023495644330978394,
0.031091388314962387,
0.008018823340535164,
-0.007694134954363108,
-0.012249613180756569,
-0.015614567324519157,
-0.04403957352042198,
0.020504573360085487,
0.037644192576408386,
0.03481054678559303,
0.013833699747920036,
0.00523929251357913,
-0.01862531527876854,
0.004890006501227617,
-0.01725768856704235,
-0.03693578392267227,
-0.03833292797207832,
-0.015280039981007576,
0.014856960624456406,
0.022334637120366096,
0.0018386718584224582,
-0.03351179510354996,
-0.003709320677444339,
-0.021901719272136688,
-0.0034707237500697374,
0.02432212419807911,
0.01832030527293682,
0.0224527046084404,
0.06289118528366089,
0.040576230734586716,
0.0159392561763525,
-0.02325950749218464,
-0.04545639827847481,
-0.02754933200776577,
0.03534185513854027,
-0.05234372988343239,
-0.04443313553929329,
0.0580897331237793,
0.013951769098639488,
-0.009391370229423046,
0.03974974900484085,
0.024479549378156662,
0.01120667438954115,
0.018930327147245407,
0.013725470751523972,
0.02695898897945881,
-0.033393725752830505,
-0.05498059466481209,
-0.04329180717468262,
-0.031229134649038315,
0.04817197471857071,
0.010773756541311741,
-0.014296134933829308,
-0.028926799073815346,
0.013479494489729404,
-0.0132630355656147,
0.001964119728654623,
0.02215753309428692,
-0.0343579538166523,
-0.00042246407247148454,
0.008230363018810749,
0.03591252118349075,
-0.0423472598195076,
-0.027155769988894463,
0.01162975374609232,
-0.01624426618218422,
0.002700818469747901,
-0.0050375922583043575,
-0.017021551728248596,
0.01645088754594326,
-0.0767052099108696,
0.021272020414471626,
0.0019149244762957096,
0.004629271570593119,
-0.03823453560471535,
0.010153896175324917,
-0.007423561066389084,
0.022118177264928818,
0.042622752487659454,
0.0019567403942346573,
0.0060854507610201836,
-0.00029962972621433437,
-0.015299717895686626,
-0.005426234565675259,
-0.026289934292435646,
0.035479605197906494,
-0.0330001637339592,
0.02589637227356434,
0.04230790212750435,
0.039001982659101486,
0.03754580393433571,
-0.017651250585913658,
0.05045463144779205,
-0.000865221198182553,
-0.0001438191975466907,
0.03988749533891678,
-0.013804183341562748,
0.029182612895965576,
0.008053259924054146,
0.0007520721410401165,
0.018467891961336136,
-0.04451184719800949,
-0.025010857731103897,
-0.004191434010863304,
-0.010242448188364506,
0.008658361621201038,
0.002978771459311247,
0.03453505411744118,
-0.009086360223591328,
-0.006877494044601917,
0.001122881192713976,
-0.003505160566419363,
-0.012938346713781357,
-0.0397891066968441,
-0.029517140239477158,
-0.018261270597577095,
0.007640019990503788,
-0.056476131081581116,
0.0037240793462842703,
-0.020819423720240593,
-0.004260307177901268,
0.009425806812942028,
0.0015287419082596898,
0.0005632854299619794,
-0.018517086282372475,
-0.01888113096356392,
0.008874820545315742,
-0.009135555475950241,
0.00650360994040966,
0.01607700251042843,
-0.0050375922583043575,
-0.03685706853866577,
0.029123580083251,
-0.020799744874238968,
-0.039395544677972794,
0.011875730007886887,
-0.04093043506145477,
0.018418695777654648,
0.0687946155667305,
-0.04805390536785126,
-0.055334798991680145,
-0.01582118682563305,
-0.015171810053288937,
-0.034672800451517105,
0.024007273837924004,
-0.019412439316511154,
-0.02758868783712387,
-0.03396439179778099,
0.005652532447129488,
0.01892048679292202,
0.025443775579333305,
-0.032842740416526794,
0.009548795409500599,
0.01373530924320221,
-0.01532923523336649,
0.03240982070565224,
-0.006784022785723209,
-0.03191787004470825,
-0.0038987223524600267,
0.003933159168809652,
0.005819796118885279,
0.038883913308382034,
0.01154120173305273,
-0.04230790212750435,
-0.029812311753630638,
-0.023397253826260567,
-0.010193252936005592,
-0.02377113699913025,
0.034082457423210144,
-0.0044595482759177685
] |
A novel framework for designing the molecular structure of chemical compounds
with a desired chemical property has recently been proposed. The framework
infers a desired chemical graph by solving a mixed integer linear program
(MILP) that simulates the computation process of a feature function defined by
a two-layered model on chemical graphs and a prediction function constructed by
a machine learning method. To improve the learning performance of prediction
functions in the framework, we design a method that splits a given data set
$\mathcal{C}$ into two subsets $\mathcal{C}^{(i)},i=1,2$ by a hyperplane in a
chemical space so that most compounds in the first (resp., second) subset have
observed values lower (resp., higher) than a threshold $\theta$. We construct a
prediction function $\psi$ to the data set $\mathcal{C}$ by combining
prediction functions $\psi_i,i=1,2$ each of which is constructed on
$\mathcal{C}^{(i)}$ independently. The results of our computational experiments
suggest that the proposed method improved the learning performance for several
chemical properties to which a good prediction function has been difficult to
construct. | [
-0.03231808543205261,
-0.026597747579216957,
-0.02313639596104622,
-0.006854385137557983,
0.022717390209436417,
-0.005570041947066784,
-0.06372528523206711,
0.016386762261390686,
-0.045653391629457474,
0.0138909462839365,
-0.006872602738440037,
-0.04816742613911629,
0.029822267591953278,
-0.046637143939733505,
-0.03567012771964073,
0.005173808429390192,
-0.03869425505399704,
-0.019201386719942093,
-0.013426396995782852,
-0.027709022164344788,
-0.006253203377127647,
-0.03366618975996971,
0.01522083394229412,
0.0658385306596756,
0.005201134830713272,
-0.027034970000386238,
0.0071868570521473885,
-0.013872728683054447,
-0.07636832445859909,
0.056547537446022034,
0.05235748365521431,
0.04299362003803253,
0.018709510564804077,
0.017479820176959038,
-0.05366915091872215,
-0.04237421974539757,
0.004609061870723963,
0.03311965987086296,
-0.0199118759483099,
0.04820386320352554,
0.00681339530274272,
0.05614675208926201,
-0.015038657933473587,
0.000015211013305815868,
0.0357794351875782,
-0.015284596011042595,
-0.022261949256062508,
-0.043503712862730026,
0.009382082149386406,
-0.0482402965426445,
-0.013699661940336227,
-0.0024001733399927616,
0.051847390830516815,
0.02065879851579666,
0.0027804665733128786,
0.043868064880371094,
0.03175333887338638,
0.06977353990077972,
0.013389961794018745,
0.04313936084508896,
-0.04532547667622566,
-0.025850823149085045,
-0.0544707290828228,
-0.03938652575016022,
0.012096509337425232,
-0.010056134313344955,
-0.02233481965959072,
-0.0186912938952446,
0.042082738131284714,
0.01588577777147293,
-0.054980821907520294,
-0.012479079887270927,
-0.007232401054352522,
-0.04186412692070007,
-0.020986715331673622,
-0.0010497912298887968,
0.02545003592967987,
-0.023591836914420128,
-0.03383014723658562,
-0.06292371451854706,
0.018481791019439697,
0.042738571763038635,
0.022990655153989792,
0.001453995006158948,
0.04069819673895836,
-0.01800813153386116,
0.030059097334742546,
-0.035870522260665894,
-0.0015211724676191807,
-0.007072996813803911,
-0.06744168698787689,
-0.004165006801486015,
0.010748405009508133,
0.017060814425349236,
0.013098479248583317,
0.01383629348129034,
0.01022920198738575,
0.0027964068576693535,
1.4232527689728158e-7,
0.023537185043096542,
0.006494586821645498,
-0.011039886623620987,
0.005360539071261883,
0.017543582245707512,
0.027089623734354973,
0.0008835552725940943,
-0.012369774281978607,
0.014018470421433449,
-0.023937972262501717,
0.12533733248710632,
0.005278559867292643,
0.02745397575199604,
0.057166937738657,
-0.027836546301841736,
-0.014027578756213188,
-0.04266570135951042,
-0.07556674629449844,
-0.06857118010520935,
0.002885218011215329,
-0.055964574217796326,
0.07629545778036118,
0.03924078494310379,
-0.0031083838548511267,
-0.037746939808130264,
-0.0382205992937088,
0.017707541584968567,
-0.022644519805908203,
-0.006899929139763117,
0.004149066284298897,
0.058624349534511566,
-0.04791238158941269,
0.0030036326497793198,
0.058624349534511566,
-0.02111423946917057,
0.023610055446624756,
0.04397737234830856,
0.05111868306994438,
-0.013462832197546959,
-0.05749485641717911,
0.0012000866699963808,
-0.0018923567840829492,
-0.012670365162193775,
-0.0433579720556736,
-0.01317134965211153,
0.05057215318083763,
0.0019936924800276756,
-0.013380852527916431,
0.05640179663896561,
-0.00485955411568284,
0.05002562701702118,
-0.0658385306596756,
0.010156331583857536,
0.029184650629758835,
0.03357510268688202,
-0.0019094358431175351,
0.011859680525958538,
-0.014537672512233257,
-0.022061556577682495,
0.017079032957553864,
-0.067186638712883,
0.05454359948635101,
-0.015630731359124184,
0.00742368632927537,
0.03858495131134987,
0.010538902133703232,
0.03523290529847145,
-0.046855758875608444,
0.030314143747091293,
-0.0980837494134903,
0.055855270475149155,
0.036417052149772644,
-0.006963690742850304,
-0.017962587997317314,
0.010101678781211376,
-0.017971696332097054,
-0.002748585771769285,
-0.016878638416528702,
0.00008119656558847055,
0.021041369065642357,
-0.02512211911380291,
-0.026087652891874313,
-0.016541613265872,
0.032190561294555664,
0.00242977705784142,
0.015248160809278488,
0.04401380568742752,
0.04412311315536499,
-0.02324570156633854,
0.020749885588884354,
0.035961613059043884,
0.03854851424694061,
0.05071789398789406,
0.038839999586343765,
0.03148007392883301,
-0.01956574060022831,
-0.03466815873980522,
-0.045070428401231766,
0.0028783862944692373,
-0.028547033667564392,
-0.026288047432899475,
-0.020166922360658646,
-0.025723300874233246,
-0.0384756438434124,
0.012187597341835499,
-0.021187109872698784,
0.008425655774772167,
0.0070320069789886475,
-0.0073325978592038155,
0.031862642616033554,
-0.006471815053373575,
0.014637869782745838,
0.0016908242832869291,
-0.02623339369893074,
-0.028929604217410088,
-0.005319549236446619,
-0.025759736075997353,
0.009076936170458794,
0.011659285984933376,
-0.032973919063806534,
-0.004586289636790752,
-0.009026838466525078,
0.05658397451043129,
0.031407203525304794,
-0.03924078494310379,
0.038184162229299545,
0.001423252746462822,
0.02091384492814541,
0.006877157371491194,
-0.032737091183662415,
0.015348357148468494,
0.03869425505399704,
0.007874572649598122,
-0.019292475655674934,
0.011704830452799797,
0.008434765040874481,
-0.0007810810930095613,
0.00478212907910347,
-0.05880652740597725,
-0.029184650629758835,
0.026615964248776436,
0.009322874248027802,
-0.025923695415258408,
-0.052284613251686096,
-0.01588577777147293,
0.03811129182577133,
0.001402757945470512,
-0.00617122370749712,
0.0228995680809021,
0.0953875333070755,
0.073417067527771,
0.030860673636198044,
-0.019966527819633484,
0.01439193170517683,
-0.004868662916123867,
-0.008238925598561764,
0.008380112238228321,
0.05181095376610756,
-0.05323192849755287,
-0.011048995889723301,
-0.06015463173389435,
0.025941912084817886,
0.01802635006606579,
0.03876712545752525,
0.0038917423225939274,
0.015266378410160542,
-0.004235600121319294,
0.036417052149772644,
-0.020039398223161697,
0.009682673029601574,
0.0234460961073637,
0.005802316591143608,
-0.02255343273282051,
0.03920435160398483,
0.01317134965211153,
-0.009855740703642368,
-0.09254558384418488,
0.020494839176535606,
-0.025923695415258408,
-0.0011795918690040708,
0.012460862286388874,
-0.03492320701479912,
0.03481389954686165,
0.028638122603297234,
0.02555934153497219,
0.06441755592823029,
-0.035415083169937134,
-0.03971444442868233,
-0.016423197463154793,
-0.029749397188425064,
-0.06540130823850632,
0.012315121479332447,
-0.01094879861921072,
-0.06168491020798683,
-0.03133433312177658,
0.008553179912269115,
0.02758149988949299,
0.003627586644142866,
-0.05483508110046387,
-0.034085195511579514,
0.00480490131303668,
-0.07862731069326401,
-0.042738571763038635,
0.0856228843331337,
0.023919755592942238,
-0.019073864445090294,
0.0006905622431077063,
0.05924374982714653,
0.10967016220092773,
-0.05913444235920906,
-0.014783610589802265,
0.026615964248776436,
-0.03149829059839249,
0.0014175596879795194,
-0.000737244903575629,
-0.025049248710274696,
-0.02477598376572132,
0.0688626617193222,
-0.08110491186380386,
-0.04160907864570618,
-0.022298384457826614,
-0.009527822956442833,
-0.02044018730521202,
-0.05662040784955025,
0.00806585792452097,
0.0014050351455807686,
-0.007077550981193781,
-0.049078308045864105,
0.04576269909739494,
-0.0149020254611969,
0.026288047432899475,
-0.007633189205080271,
-0.016514286398887634,
-0.0726519301533699,
0.00013549365394283086,
-0.05275827273726463,
-0.08329102396965027,
-0.006016374099999666,
0.02943969890475273,
-0.029640091583132744,
0.015384792350232601,
-0.00878545455634594,
-0.030514538288116455,
-0.012469971552491188,
0.011468001641333103,
-0.009728217497467995,
-0.04401380568742752,
-0.031170373782515526,
0.033301837742328644,
0.010493357665836811,
0.0003987954114563763,
0.000991722452454269,
0.01434638723731041,
-0.013544811867177486,
0.05494438856840134,
0.03486855328083038,
-0.041973430663347244,
-0.01666002720594406,
-0.034285590052604675,
0.018427137285470963,
0.04011523351073265,
0.03244560956954956,
-0.06055541709065437,
-0.004663714673370123,
-0.01512063667178154,
-0.06088333576917648,
0.07443725317716599,
-0.018727729097008705,
-0.017753085121512413,
-0.007692396175116301,
0.02122354507446289,
-0.00742368632927537,
0.05534517392516136,
0.03237273916602135,
0.023154614493250847,
-0.03255491331219673,
0.009063273668289185,
0.002566409297287464,
-0.028073376044631004,
-0.04102611541748047,
0.016814876347780228,
-0.013262438587844372,
0.015311921946704388,
0.03233630210161209,
-0.041426900774240494,
-0.06015463173389435,
-0.014382822439074516,
-0.021077804267406464,
-0.029403263702988625,
-0.05057215318083763,
0.04477894678711891,
0.017698433250188828,
-0.013134914450347424,
0.04973414167761803,
-0.02579617127776146,
0.03231808543205261,
-0.03149829059839249,
-0.0039190687239170074,
0.008571397513151169,
0.053960636258125305,
-0.022626303136348724,
0.00977376103401184,
-0.021496810019016266,
-0.0284559465944767,
-0.03734615072607994,
0.035524386912584305,
0.03437667712569237,
-0.024174802005290985,
-0.01444658450782299,
-0.00940029975026846,
0.0123333390802145,
0.0073644788935780525,
-0.05450716242194176,
0.021751856431365013,
0.019256040453910828,
0.021369285881519318,
0.007646852172911167,
-0.026288047432899475,
-0.012369774281978607,
-0.0010930581483989954,
0.046855758875608444,
0.040078796446323395,
0.015257269144058228,
0.021587897092103958,
0.003219967009499669,
-0.000329340691678226,
0.02699853479862213,
0.03949583321809769,
-0.03734615072607994,
-0.025595776736736298,
-0.03714575618505478,
-0.002438885858282447,
0.043540146201848984,
-0.028419511392712593,
-0.040406715124845505,
-0.03800198808312416,
0.010183657519519329,
-0.02969474531710148,
0.023737577721476555,
-0.015949539840221405,
-0.02257164940237999,
0.032390955835580826,
-0.008721692487597466,
-0.05567309260368347,
-0.005934394430369139,
-0.013881837949156761,
-0.0009945690399035811,
-0.019711481407284737,
0.007159530650824308,
-0.011267607100307941,
-0.012105618603527546,
-0.07651406526565552,
0.02501281350851059,
-0.063980333507061,
-0.028656339272856712,
0.03280996158719063,
-0.0029284849297255278,
-0.02189759723842144,
-0.011841462925076485,
0.05527230352163315,
-0.04681932181119919,
-0.01568538323044777,
0.0357794351875782,
-0.0037573871668428183,
-0.054069940000772476,
-0.04638209939002991,
0.0242476724088192,
-0.08394686132669449,
0.011349586769938469,
0.016814876347780228,
0.01249729748815298,
0.003056008368730545,
-0.00822070799767971,
0.032081253826618195,
-0.03089710883796215,
0.04204630106687546,
-0.009277330711483955,
-0.011786810122430325,
-0.0723240077495575,
0.009709999896585941,
0.0070593333803117275,
0.04401380568742752,
-0.005611031781882048,
0.008184272795915604,
-0.013590355403721333,
-0.010466031730175018,
0.043831631541252136,
0.037746939808130264,
-0.00475480267778039,
0.051847390830516815,
0.05640179663896561,
0.003987384960055351,
0.021934032440185547,
-0.043503712862730026,
-0.008830998092889786,
0.018490899354219437,
0.018299615010619164,
-0.02156968042254448,
-0.022407691925764084,
0.06766029447317123,
0.018745945766568184,
0.0590980090200901,
-0.03521468862891197,
-0.032500259578228,
0.024484502151608467,
-0.014164211228489876,
0.0021883933804929256,
0.003980553243309259,
-0.012205815874040127,
0.0025481916964054108,
-0.014483019709587097,
0.037965551018714905,
0.014109558425843716,
0.017088141292333603,
-0.03279174119234085,
-0.03916791453957558,
0.03960513696074486,
0.037965551018714905,
-0.020166922360658646,
-0.0006581120542250574,
0.004265203606337309,
0.014410149306058884,
-0.016195477917790413,
-0.006394390016794205,
0.018745945766568184,
-0.03588874265551567,
0.030150186270475388,
0.021423939615488052,
-0.060518983751535416,
0.08460269868373871,
0.007742494810372591,
-0.022097991779446602,
0.05487151816487312,
-0.006394390016794205,
-0.01836337521672249,
-0.025650430470705032,
-0.020622363314032555,
0.00467282347381115,
0.006899929139763117,
-0.005683902185410261,
0.006713198497891426,
-0.04423241689801216,
-0.004192333202809095,
-0.0070320069789886475,
-0.005633803550153971,
0.03111572004854679,
0.05381489545106888,
0.011486219242215157,
-0.00342946988530457,
0.0009541486506350338,
0.03381193056702614,
-0.007551209535449743,
0.014464802108705044,
0.03665388002991676,
-0.00683616753667593,
0.0036845167633146048,
-0.03916791453957558,
0.02333679050207138,
-0.034394893795251846,
-0.03370262309908867,
0.008298132568597794,
0.03168046846985817,
0.022826695814728737,
0.015412119217216969,
0.006644882261753082,
-0.022826695814728737,
-0.042847879230976105,
-0.02656131237745285,
0.03949583321809769,
-0.02856525219976902,
0.01867307536303997,
-0.008457536809146404,
-0.042301349341869354,
-0.00812051072716713,
0.0406617596745491,
-0.01980256848037243,
0.03344757854938507,
0.00558370491489768,
-0.009354755282402039,
0.01679665967822075,
0.007350815925747156,
0.03056919202208519,
-0.05713050439953804,
0.04590843990445137,
-0.010247419588267803,
-0.019930092617869377,
-0.01779862865805626,
0.0030628398526459932,
-0.003705011447891593,
-0.0484953448176384,
-0.025705082342028618,
-0.04703793302178383,
0.04488825425505638,
0.0027189820539206266,
-0.022280167788267136,
0.012114726938307285,
0.023591836914420128,
0.016714680939912796,
0.017051706090569496,
0.05410637706518173,
-0.031407203525304794,
0.0034089749678969383,
0.039058610796928406,
-0.03213590756058693,
-0.00817971769720316,
0.01980256848037243,
0.022516997531056404,
0.007760712411254644,
0.02457558922469616,
0.01300739124417305,
0.04157264158129692,
0.010629990138113499,
0.017616452649235725,
0.004404113162308931,
-0.005283114034682512,
0.016049737110733986,
0.032937485724687576,
0.01890990510582924,
0.016067953780293465,
-0.006512804422527552,
-0.03035058081150055,
0.04346727579832077,
-0.03532399237155914,
0.0479852519929409,
-0.01011989638209343,
0.035050731152296066,
0.006175778340548277,
-0.02034909836947918,
-0.02714427560567856,
-0.01621369458734989,
-0.003582042409107089,
-0.03832990303635597,
0.011212954297661781,
-0.06817039102315903,
-0.025413600727915764,
0.010666425339877605,
0.0037460012827068567,
0.001895772642455995,
0.06317875534296036,
0.0228995680809021,
0.0272353645414114,
-0.06820682436227798,
0.009427625685930252,
-0.00995593797415495,
-0.002787298057228327,
0.011814136058092117,
0.027180710807442665,
0.028838515281677246,
-0.02368292585015297,
0.08008472621440887,
0.028091592714190483,
-0.0038211490027606487,
0.021041369065642357,
0.025486471131443977,
0.046527840197086334,
-0.0020517611410468817,
-0.021150674670934677,
-0.022097991779446602,
0.004973414354026318,
0.034504201263189316,
0.019183170050382614,
0.012888976372778416,
0.022808479145169258,
-0.02810981124639511,
0.010693751275539398,
-0.011367804370820522,
0.015275486744940281,
-0.009655346162617207,
0.04900543764233589,
0.008534962311387062,
0.04281144216656685,
-0.028036940842866898,
0.002377401338890195,
-0.01880059950053692,
0.045653391629457474,
0.04525260627269745,
-0.033174313604831696,
0.011768592521548271,
0.021515026688575745,
-0.009910393506288528,
-0.010584445670247078,
-0.02022157423198223,
-0.025286076590418816,
-0.0373825877904892,
0.027836546301841736,
-0.02712605893611908,
-0.0067587425000965595,
-0.003716397564858198,
0.014082231558859348,
-0.028164463117718697,
0.03033236227929592,
-0.018308723345398903,
-0.02457558922469616,
-0.007496556732803583,
-0.016323000192642212,
-0.037965551018714905,
0.0027827436570078135,
0.017416059970855713,
-0.002261264016851783,
-0.020986715331673622,
0.04627279192209244,
0.0015963203040882945,
-0.004256094805896282,
-0.01434638723731041,
0.01676933281123638,
0.004996186587959528,
-0.028656339272856712,
0.005943503230810165,
-0.03444954752922058,
-0.024939943104982376,
-0.037746939808130264,
-0.000273833837127313,
0.060737594962120056,
-0.023828666657209396,
-0.013708770275115967,
0.05917087942361832,
-0.004627279471606016,
0.02590547688305378,
0.007523883134126663,
-0.03100641444325447,
0.018500007688999176,
-0.0027781892567873,
-0.005743109621107578,
-0.010083461180329323,
-0.06317875534296036,
-0.0014483019476756454,
-0.02991335652768612,
0.06977353990077972,
0.03811129182577133,
0.0025823498144745827,
-0.0070593333803117275,
0.04270213469862938,
0.011905224062502384,
-0.03534221276640892,
0.012415317818522453,
0.002025573281571269,
-0.03621665760874748,
-0.015448554418981075,
0.024174802005290985,
-0.03290104866027832,
-0.060846902430057526,
0.012643038295209408,
-0.002668883418664336,
0.02656131237745285,
-0.010693751275539398,
-0.00817060936242342,
0.04168194904923439,
0.0326642207801342,
-0.016168151050806046,
0.045653391629457474,
0.017170121893286705,
0.01932891085743904,
-0.020932063460350037,
0.046199921518564224,
-0.0431029237806797,
-0.019857222214341164,
0.0604461133480072,
0.016869530081748962,
-0.04160907864570618,
-0.011486219242215157,
-0.02634269930422306,
-0.024867070838809013,
-0.0027098732534796,
0.02388332039117813,
-0.007965660654008389,
0.03078780323266983,
-0.011021669022738934,
-0.025049248710274696,
-0.014209755696356297,
0.019073864445090294,
-0.06139342859387398,
0.00439272727817297,
0.0008784316014498472,
0.044414594769477844,
-0.040916807949543,
-0.013918273150920868,
0.015157071873545647,
-0.05035354197025299,
0.020166922360658646,
-0.05133729428052902,
0.06470903754234314,
-0.021915815770626068,
-0.0056975651532411575,
0.04233778268098831,
0.019037429243326187,
0.04671001434326172,
-0.014145993627607822,
0.05789564549922943,
-0.04882326349616051,
0.007929225452244282,
-0.010138113982975483,
0.017069924622774124,
0.01610438898205757,
-0.011704830452799797,
-0.013326199725270271,
0.04827673360705376,
0.03124324418604374,
-0.02834663912653923,
-0.0038370892871171236,
0.003825703402981162,
-0.023045308887958527,
0.04794881492853165,
-0.0247942004352808,
0.029476134106516838,
0.07767999917268753,
-0.01766199618577957,
-0.04510686546564102,
-0.025176770985126495,
0.003124324372038245,
0.000017221358575625345,
0.009263667277991772,
0.022516997531056404,
0.013399070128798485,
0.020039398223161697,
-0.004385895561426878,
0.04303005337715149,
-0.013763423077762127,
-0.006503695622086525,
0.0012296903878450394,
0.008129619993269444,
0.0076650697737932205,
0.021096020936965942,
-0.010529792867600918,
0.03479568287730217,
0.007979324087500572,
-0.02211620844900608,
-0.03168046846985817,
0.02388332039117813,
-0.00672686193138361,
0.009873958304524422,
-0.028984257951378822,
0.05928018316626549,
0.021606115624308586,
-0.033174313604831696,
-0.0016896856250241399,
-0.02943969890475273,
0.045289039611816406,
-0.04102611541748047,
0.013881837949156761,
0.0010048163821920753,
0.015175290405750275,
-0.019401781260967255,
-0.020840974524617195,
-0.06306945532560349,
-0.03011375106871128,
-0.011340477503836155,
0.02969474531710148,
-0.013481049798429012,
0.027417540550231934,
-0.010347616858780384,
0.05694832652807236,
0.006408052984625101,
-0.006189441308379173,
0.011896115727722645,
0.029512569308280945,
-0.020531274378299713,
0.010037916712462902,
0.02710784040391445,
-0.0008010066230781376,
-0.017315862700343132,
-0.02002118155360222,
0.045981310307979584,
0.003445410169661045,
0.014419257640838623,
-0.007382696494460106,
0.014993113465607166,
-0.02501281350851059,
-0.033629752695560455,
-0.03133433312177658,
-0.022608084604144096,
-0.062085699290037155,
-0.007323489058762789,
-0.02645200677216053,
-0.0070593333803117275,
0.024921724572777748,
0.028547033667564392,
-0.02821911685168743,
0.0008004373521544039,
0.002305669477209449,
-0.03579765185713768,
-0.02645200677216053,
0.02246234379708767,
-0.03519647195935249,
0.012706800363957882,
-0.00012239973875693977,
0.035415083169937134,
0.013982035219669342,
-0.0009171440615318716,
-0.024393413215875626,
-0.057166937738657,
-0.04168194904923439,
-0.014810937456786633,
0.035961613059043884,
-0.03546973690390587,
0.0186912938952446,
-0.003037790535017848,
-0.027945851907134056,
0.007068442180752754,
-0.017953479662537575,
-0.02144215628504753,
-0.030769584700465202,
0.005324103869497776,
-0.059863150119781494,
-0.00894485879689455,
0.0457991361618042,
0.02823733352124691,
-0.012925411574542522,
0.011932550929486752,
-0.016523394733667374,
0.03211769089102745,
0.01945643499493599,
0.012096509337425232,
0.015585186891257763,
-0.008439319208264351,
-0.042192041873931885,
0.006339736748486757,
0.0371275395154953,
-0.009491387754678726,
0.006212213542312384,
0.0016099835047498345,
0.017370514571666718,
-0.03377549350261688,
0.018254069611430168,
0.027872981503605843,
0.022043338045477867,
-0.015758253633975983,
0.017953479662537575,
-0.014574107713997364,
0.053851328790187836,
0.015311921946704388,
-0.013553920201957226,
-0.025632211938500404,
-0.006335182581096888,
0.045981310307979584,
-0.005620140582323074,
0.046855758875608444,
-0.0628872737288475,
-0.008580505847930908,
-0.06102907657623291,
-0.017935261130332947,
-0.03945939615368843,
-0.01679665967822075,
0.03771050274372101,
0.025869041681289673,
0.014419257640838623,
0.014838263392448425,
-0.0006239539943635464,
0.007223292253911495,
0.03891286998987198,
-0.030660279095172882,
0.010484249331057072,
-0.01846357248723507,
-0.02381044812500477,
-0.014300843700766563,
0.005187471397221088,
-0.035852305591106415,
-0.01145889237523079,
0.017033489421010017,
0.041645511984825134,
-0.003654913045465946,
0.01587666943669319,
-0.0006182609940879047,
-0.015102419070899487,
-0.015403009951114655,
-0.03058740869164467,
-0.049952756613492966,
-0.024411631748080254,
-0.03627131134271622,
-0.04077106714248657,
-0.009828413836658001,
-0.03100641444325447,
0.006772405933588743,
-0.004306193441152573,
0.03404875844717026,
0.05283114314079285,
-0.007760712411254644,
-0.017625560984015465,
0.035742998123168945,
0.0009621188510209322,
0.005192026030272245,
-0.0080613037571311,
0.03342936187982559,
0.040406715124845505,
-0.015229943208396435,
0.0010737018892541528,
-0.03280996158719063,
-0.027763675898313522,
0.0192378219217062,
-0.0021326018031686544,
-0.032973919063806534,
-0.006316964980214834,
0.02178829163312912,
-0.02067701518535614,
0.020203357562422752,
-0.03865782171487808,
-0.034631725400686264,
0.01624102145433426,
0.03960513696074486,
-0.02688922919332981,
0.01610438898205757,
-0.008799117989838123,
-0.043066490441560745,
0.004260649438947439,
0.0191102996468544,
0.040078796446323395,
0.050207801163196564,
-0.048859696835279465,
-0.015740036964416504,
-0.0005613308749161661,
-0.043868064880371094,
0.04503399506211281,
0.004686486441642046,
0.011203845962882042,
-0.014082231558859348,
0.016869530081748962,
-0.01813565567135811,
-0.04372232407331467,
-0.029166433960199356,
0.00817060936242342,
0.0436130166053772,
-0.025304295122623444,
0.013153132051229477,
-0.05713050439953804,
-0.049843449145555496,
0.00614389730617404
] |
Neural code intelligence models continue to be 'black boxes' to the human
programmer. This opacity limits their application towards code intelligence
tasks, particularly for applications like vulnerability detection where a
model's reliance on spurious correlations can be safety-critical. We introduce
a neuron-level approach to interpretability of neural code intelligence models
which eliminates redundancy due to highly similar or task-irrelevant neurons
within these networks. We evaluate the remaining important neurons using
probing classifiers which are often used to ascertain whether certain
properties have been encoded within the latent representations of neural
intelligence models. However, probing accuracies may be artificially inflated
due to repetitive and deterministic nature of tokens in code datasets.
Therefore, we adapt the selectivity metric originally introduced in NLP to
account for probe memorization, to formulate our source-code probing tasks.
Through our neuron analysis, we find that more than 95\% of the neurons are
redundant wrt. our code intelligence tasks and can be eliminated without
significant loss in accuracy. We further trace individual and subsets of
important neurons to specific code properties which could be used to influence
model predictions. We demonstrate that it is possible to identify 'number'
neurons, 'string' neurons, and higher level 'text' neurons which are
responsible for specific code properties. This could potentially be used to
modify neurons responsible for predictions based on incorrect signals.
Additionally, the distribution and concentration of the important neurons
within different source code embeddings can be used as measures of task
complexity, to compare source-code embeddings and guide training choices for
transfer learning over similar tasks. | [
-0.0027458765543997288,
-0.01651954837143421,
-0.03500549867749214,
-0.0169712882488966,
0.05509468540549278,
0.021435553207993507,
0.039576053619384766,
0.0004254447703715414,
0.02033720165491104,
0.06877092272043228,
-0.00032662643934600055,
-0.05094929784536362,
0.01925656571984291,
-0.022480756044387817,
-0.02168356627225876,
0.012037568725645542,
0.012471593916416168,
0.003729077521711588,
-0.02317165397107601,
-0.02692730538547039,
0.0024447159375995398,
-0.009344837628304958,
-0.0016430970281362534,
-0.026236407458782196,
0.04393402487039566,
0.016829565167427063,
-0.015182039700448513,
0.017485033720731735,
-0.08276603370904922,
0.028273670002818108,
0.008171197026968002,
0.01688271202147007,
-0.0018346441211178899,
-0.035076357424259186,
-0.020142333582043648,
-0.03498778119683266,
-0.008512217551469803,
-0.0025930816773325205,
-0.0016608124133199453,
0.03472205251455307,
0.030860109254717827,
-0.050878435373306274,
0.03943432867527008,
0.022817349061369896,
-0.0010629199678078294,
-0.004721136298030615,
-0.015846364200115204,
-0.0875137448310852,
-0.005509468261152506,
-0.048965178430080414,
0.05435064062476158,
0.005456322338432074,
0.014057116582989693,
-0.0018368585733696818,
0.019610872492194176,
0.046130724251270294,
0.05849602818489075,
-0.002254276070743799,
0.06629077345132828,
0.011568112298846245,
0.02676786668598652,
0.04117043316364288,
-0.04818570613861084,
0.01749389059841633,
0.058921195566654205,
0.02258704975247383,
0.05215393751859665,
-0.0422687828540802,
0.023419668897986412,
-0.007156994193792343,
-0.08049847185611725,
0.015766646713018417,
-0.0210103839635849,
0.014535429887473583,
0.014367134310305119,
0.006182651035487652,
0.033074524253606796,
0.040284667164087296,
-0.020390348508954048,
-0.011054367758333683,
0.009433414787054062,
0.03713133558630943,
0.017759621143341064,
0.02914172224700451,
0.07816004753112793,
-0.02809651754796505,
0.0058106291107833385,
-0.04818570613861084,
0.015226327814161777,
-0.0008414782932959497,
-0.020248625427484512,
0.03534208983182907,
-0.014810018241405487,
0.008627367205917835,
0.03539523482322693,
0.0035187078174203634,
-0.006851404905319214,
0.008707085624337196,
-0.03034636378288269,
0.031869884580373764,
0.003120112931355834,
0.03321624919772148,
0.015828650444746017,
0.01642211340367794,
0.02876969985663891,
-0.04280024394392967,
-0.049673791974782944,
-0.005102015566080809,
-0.023579107597470284,
0.16737446188926697,
-0.004331398755311966,
0.010948075912892818,
-0.08687599003314972,
-0.05077214166522026,
0.02046120911836624,
-0.024287721142172813,
-0.0215064138174057,
-0.022037873044610023,
-0.0009693608735688031,
-0.05364202708005905,
0.0032884085085242987,
0.05119730904698372,
0.035288941115140915,
-0.0073740072548389435,
-0.03137385472655296,
0.06671594083309174,
-0.005438607186079025,
-0.031285278499126434,
0.020691508427262306,
0.023490531370043755,
0.02954917401075363,
0.056334756314754486,
0.04669761657714844,
-0.04187904670834541,
0.029106291010975838,
-0.005629046820104122,
0.05364202708005905,
0.038335978984832764,
0.007599877659231424,
-0.015164325013756752,
0.0348106287419796,
-0.024004274979233742,
-0.03876114636659622,
-0.005611331667751074,
0.03539523482322693,
0.011346670798957348,
0.020036041736602783,
0.11224434524774551,
0.006111789494752884,
-0.02563408575952053,
-0.04644960165023804,
0.04272938147187233,
-0.0011526037706062198,
0.0410287082195282,
0.035784970968961716,
0.030488086864352226,
0.000612839765381068,
0.06239340081810951,
-0.07018814980983734,
-0.006328802555799484,
0.046591322869062424,
-0.0556970052421093,
0.007015271577984095,
0.030505802482366562,
0.01096579059958458,
0.01415455061942339,
0.018849113956093788,
0.009690286591649055,
-0.07490042597055435,
0.05945265665650368,
-0.00842806976288557,
0.014535429887473583,
-0.00944227259606123,
0.0412767231464386,
0.010522907599806786,
-0.003760079387575388,
0.012719608843326569,
-0.0412767231464386,
-0.072349414229393,
-0.0007041844655759633,
-0.02729932777583599,
-0.0167232733219862,
0.011426389217376709,
-0.03240134194493294,
0.03022235631942749,
0.029354305937886238,
0.10076481103897095,
0.012887904420495033,
0.05052412673830986,
0.014570861123502254,
0.009956017136573792,
-0.015598350204527378,
0.030399510636925697,
-0.024394012987613678,
0.029868051409721375,
-0.055626142770051956,
-0.026697006076574326,
0.010558337904512882,
0.03989492729306221,
-0.01645754463970661,
0.012976480647921562,
-0.03172815963625908,
-0.060799021273851395,
0.02501405030488968,
0.021116675809025764,
0.008219914510846138,
0.00311125535517931,
0.0491069033741951,
0.04173732176423073,
-0.0030071777291595936,
-0.017830481752753258,
-0.03477519750595093,
-0.047122783958911896,
-0.05176420137286186,
-0.008348350413143635,
-0.015846364200115204,
-0.017998777329921722,
-0.009415699169039726,
-0.030045203864574432,
0.026697006076574326,
0.03392486274242401,
0.022037873044610023,
0.049036040902137756,
-0.009468845091760159,
-0.05778741464018822,
-0.015226327814161777,
0.028521684929728508,
-0.009309407323598862,
-0.03229505196213722,
0.004685705527663231,
-0.006625534500926733,
0.010487476363778114,
0.024872327223420143,
-0.04046181961894035,
-0.0019763668533414602,
-0.03755650296807289,
0.061543066054582596,
-0.049921806901693344,
-0.005190592259168625,
0.01596151478588581,
-0.018990837037563324,
-0.007143707945942879,
-0.009929443709552288,
-0.020284054800868034,
0.04241050407290459,
-0.016041234135627747,
-0.018778251484036446,
0.021789858117699623,
-0.018778251484036446,
0.03158643841743469,
-0.0085476478561759,
-0.04347342625260353,
0.05551985278725624,
0.01959315687417984,
-0.0496029295027256,
-0.021577274426817894,
0.06381062418222427,
0.02205558866262436,
0.03188759833574295,
-0.011258093640208244,
0.008791233412921429,
-0.013463652692735195,
0.01833536848425865,
0.06653878837823868,
-0.06062186881899834,
-0.0174673181027174,
0.04336713254451752,
-0.009840867482125759,
0.028946852311491966,
-0.005598044954240322,
0.040001221001148224,
-0.00992058590054512,
-0.06111789867281914,
-0.045457541942596436,
-0.0018977549625560641,
-0.008835522457957268,
0.03844227269291878,
-0.00818005483597517,
-0.035076357424259186,
-0.028043370693922043,
0.0004733315436169505,
-0.013711667619645596,
-0.00802504550665617,
0.03367684781551361,
-0.01851252280175686,
-0.06753084808588028,
-0.01415455061942339,
-0.004127672407776117,
-0.017077580094337463,
-0.059346362948417664,
-0.012560171075165272,
0.028238240629434586,
-0.03585583344101906,
-0.0011736407177522779,
-0.0011503894347697496,
-0.03318081796169281,
-0.022781917825341225,
-0.015120035968720913,
0.006900121923536062,
-0.003773365868255496,
-0.08517532050609589,
-0.03557238727807999,
-0.016652412712574005,
-0.0013507941039279103,
-0.028503969311714172,
0.023703115060925484,
0.0054961820133030415,
0.08340378850698471,
-0.05782284587621689,
0.0031599723733961582,
-0.004592699930071831,
0.017139583826065063,
-0.0038818721659481525,
-0.04768967628479004,
-0.018078496679663658,
0.025155771523714066,
0.049673791974782944,
0.025332925841212273,
0.02930115908384323,
-0.007998473010957241,
0.06540500372648239,
-0.008653939701616764,
-0.07539645582437515,
0.03408430144190788,
0.008560934104025364,
0.017910201102495193,
0.01152382418513298,
0.07405009120702744,
-0.016776420176029205,
-0.023951129987835884,
-0.03805253282189369,
0.023065362125635147,
-0.026289552450180054,
-0.03351740911602974,
0.008162339217960835,
-0.022356750443577766,
-0.04361514747142792,
0.049036040902137756,
-0.024518020451068878,
-0.012471593916416168,
0.007050702348351479,
-0.03925717622041702,
-0.06841661036014557,
0.005017867777496576,
0.0012821471318602562,
-0.06264141201972961,
-0.057291384786367416,
-0.009876297786831856,
-0.006368662230670452,
0.01636010967195034,
0.0010025771334767342,
-0.019664019346237183,
-0.011390958912670612,
-0.017848197370767593,
-0.012639889493584633,
-0.014446853660047054,
-0.05002810060977936,
0.03163958340883255,
0.01250702515244484,
0.07752229273319244,
0.009513133205473423,
-0.009185399860143661,
0.013649663887917995,
0.022959070280194283,
-0.06767257302999496,
-0.012072999030351639,
-0.013933109119534492,
-0.007772602140903473,
0.04241050407290459,
0.03206475079059601,
-0.015669211745262146,
0.07319975644350052,
-0.07107391208410263,
0.0009820937411859632,
0.02938973717391491,
0.0248014647513628,
0.008822235278785229,
0.0035120646934956312,
-0.04744166135787964,
0.05194135382771492,
-0.04113500192761421,
0.02434086613357067,
-0.009911728091537952,
0.023561391979455948,
-0.031125839799642563,
0.044004887342453,
-0.0041387444362044334,
0.011842699721455574,
-0.038158826529979706,
0.03950519114732742,
-0.03261392563581467,
-0.041701894253492355,
-0.013144776225090027,
-0.07808918505907059,
0.06260598450899124,
0.0992058590054512,
-0.06040928512811661,
-0.01348136831074953,
0.02843310870230198,
0.0016475259326398373,
-0.06802687793970108,
0.04701649397611618,
-0.020780084654688835,
-0.013853389769792557,
-0.06459010392427444,
-0.004043524619191885,
-0.02572266198694706,
0.006917837541550398,
0.010921502485871315,
-0.01922113634645939,
-0.026572998613119125,
-0.003399129491299391,
-0.011771838180720806,
0.009039248339831829,
0.028503969311714172,
0.011036652140319347,
-0.016590408980846405,
0.03000977262854576,
0.05353573337197304,
-0.026413559913635254,
0.013463652692735195,
0.011656688526272774,
0.026395846158266068,
0.012631031684577465,
0.0089196702465415,
-0.03677703067660332,
-0.049213193356990814,
0.040072083473205566,
0.05424434691667557,
-0.049213193356990814,
0.022728770971298218,
-0.006288942880928516,
0.021648136898875237,
-0.021665852516889572,
-0.029708612710237503,
-0.030080635100603104,
-0.02972632832825184,
0.0017416386399418116,
-0.048540011048316956,
-0.01826450787484646,
-0.025704948231577873,
-0.02588210068643093,
-0.01629810594022274,
0.03706047683954239,
-0.05435064062476158,
-0.015660353004932404,
-0.032454490661621094,
-0.027441050857305527,
0.0022963499650359154,
-0.053004276007413864,
-0.043579716235399246,
-0.014898594468832016,
-0.09027733653783798,
-0.06026756018400192,
0.04790225997567177,
-0.008808949030935764,
-0.022232742980122566,
-0.03684789314866066,
0.05013439059257507,
-0.06944410502910614,
0.012019853107631207,
0.0435088574886322,
-0.035660963505506516,
0.0044731213711202145,
-0.0019575441256165504,
0.027069028466939926,
0.009557422250509262,
-0.030452655628323555,
0.004408903419971466,
0.01279932726174593,
-0.01250702515244484,
-0.003363698720932007,
0.04035552591085434,
-0.019061697646975517,
0.030895540490746498,
0.011727550067007542,
0.0018224648665636778,
-0.031249847263097763,
0.044040314853191376,
-0.018370799720287323,
0.009911728091537952,
0.0038796577136963606,
-0.02788393385708332,
-0.03560781851410866,
-0.019734879955649376,
0.04269395023584366,
0.018122784793376923,
0.01811392791569233,
0.017626754939556122,
-0.06579474359750748,
-0.002109231660142541,
-0.0432608425617218,
-0.0064838118851184845,
-0.0032950518652796745,
0.003135613864287734,
-0.04311911761760712,
-0.024411728605628014,
-0.044040314853191376,
0.04574098810553551,
0.04411117732524872,
-0.002486789831891656,
-0.01651068963110447,
0.028911422938108444,
0.016962431371212006,
-0.01756475120782852,
0.0060985032469034195,
-0.028610261157155037,
0.02418142929673195,
0.046130724251270294,
-0.013516798615455627,
0.009645998477935791,
-0.061047036200761795,
-0.012852474115788937,
-0.04563469812273979,
-0.016953572630882263,
0.03156872093677521,
0.0126487473025918,
-0.008255344815552235,
0.036245569586753845,
-0.0001188172900583595,
0.019876603037118912,
-0.035962123423814774,
0.025687232613563538,
-0.00447533605620265,
-0.010266034863889217,
0.0437568724155426,
-0.0016851710388436913,
0.010425473563373089,
-0.03348197788000107,
-0.013995112851262093,
-0.019486865028738976,
0.0339425764977932,
-0.04510323703289032,
-0.048788025975227356,
-0.0023517103400081396,
0.024819180369377136,
0.027990225702524185,
0.011160659603774548,
-0.029921196401119232,
-0.002849954180419445,
-0.04085155576467514,
0.03009835071861744,
0.011204947717487812,
0.04209163039922714,
-0.009424556978046894,
0.014517715200781822,
-0.000029704322514589876,
-0.05261453613638878,
0.0018202504143118858,
-0.017228160053491592,
0.017219303175807,
0.008729229681193829,
0.007630879525095224,
-0.017998777329921722,
-0.015669211745262146,
-0.0916237011551857,
0.01446456927806139,
0.005026725586503744,
-0.031249847263097763,
-0.01356994453817606,
0.012657605111598969,
0.00445983512327075,
0.018158216029405594,
-0.0020084758289158344,
0.029318874701857567,
-0.020408062264323235,
-0.027069028466939926,
0.04609529674053192,
-0.03117898479104042,
-0.016377825289964676,
-0.006869120057672262,
-0.009096823632717133,
-0.021736713126301765,
0.02317165397107601,
-0.01713072694838047,
0.0215064138174057,
0.005912492051720619,
-0.03309224173426628,
0.02092180773615837,
0.004218463320285082,
-0.06473182141780853,
-0.03179902210831642,
0.007099419366568327,
0.039292607456445694,
0.00787003617733717,
-0.01980574242770672,
-0.024447157979011536,
-0.002466859994456172,
-0.008525503799319267,
-0.005584758706390858,
0.007108277175575495,
0.05399633198976517,
0.0050754426047205925,
-0.0072367130778729916,
-0.011506108567118645,
0.05612217262387276,
0.01767990179359913,
0.008831093087792397,
-0.006470525171607733,
-0.04244593530893326,
-0.0206383615732193,
-0.006554672960191965,
0.06816860288381577,
0.000156946771312505,
0.009867439977824688,
0.018689675256609917,
-0.02193158119916916,
-0.012639889493584633,
0.016129810363054276,
0.024943187832832336,
0.020656077191233635,
0.014455711469054222,
0.031108124181628227,
-0.029531458392739296,
0.03114355355501175,
-0.008441356010735035,
-0.013702809810638428,
0.009752290323376656,
-0.010912644676864147,
0.006545815151184797,
0.014349419623613358,
0.009176542051136494,
0.0410287082195282,
-0.004579413216561079,
0.027830787003040314,
0.01642211340367794,
0.018902258947491646,
-0.02350824698805809,
0.02489004284143448,
-0.00939798355102539,
-0.04907147213816643,
0.0026440133806318045,
-0.0552009753882885,
0.0004943684907630086,
-0.018831398338079453,
0.01598808728158474,
0.008463500067591667,
0.04343799501657486,
-0.03709590435028076,
0.023543676361441612,
0.011780695989727974,
0.028238240629434586,
-0.04644960165023804,
0.019540011882781982,
0.0006665393593721092,
0.014189980924129486,
-0.024270005524158478,
-0.011585826985538006,
0.06388148665428162,
-0.010797495022416115,
0.030771533027291298,
0.012825900688767433,
-0.026909589767456055,
0.045882709324359894,
-0.006900121923536062,
-0.005788485053926706,
0.03156872093677521,
-0.004760995507240295,
0.019291996955871582,
-0.006554672960191965,
0.026608429849147797,
0.024748319759964943,
0.026537567377090454,
-0.005717623513191938,
0.044500913470983505,
-0.03989492729306221,
-0.021488698199391365,
-0.022604763507843018,
-0.04304825887084007,
0.07132192701101303,
-0.02258704975247383,
-0.030824678018689156,
-0.036954183131456375,
0.03213561326265335,
0.030647525563836098,
-0.013552228920161724,
0.007892180234193802,
0.0437568724155426,
0.006886835675686598,
-0.004260537680238485,
-0.008543219417333603,
0.0020937309600412846,
0.009628282859921455,
0.014632864855229855,
-0.03248991817235947,
-0.005301313009113073,
0.01808735355734825,
0.007777031045407057,
-0.0493549145758152,
0.0060010687448084354,
-0.05686621740460396,
-0.045953571796417236,
0.025102626532316208,
-0.011833841912448406,
0.038371410220861435,
-0.00992058590054512,
0.00124007323756814,
-0.0167232733219862,
0.026732437312602997,
0.0168472807854414,
-0.009539706632494926,
0.03326939418911934,
-0.006824831943958998,
0.058460596948862076,
0.014632864855229855,
0.018043065443634987,
0.01851252280175686,
-0.03557238727807999,
-0.002153520006686449,
0.011541538871824741,
0.00029922302928753197,
0.04354428872466087,
0.03438546136021614,
0.015412339009344578,
0.0008647296926937997,
0.010868356563150883,
0.04609529674053192,
0.012949908152222633,
-0.026395846158266068,
-0.004109957255423069,
0.018246792256832123,
-0.0038951586466282606,
0.001963080372661352,
-0.06260598450899124,
-0.004911575932055712,
-0.0011359957279637456,
-0.01062919944524765,
0.009486560709774494,
-0.019646303728222847,
0.003427916904911399,
0.03093096986413002,
-0.019699450582265854,
-0.03300366550683975,
0.011116371490061283,
-0.019150273874402046,
-0.006156078074127436,
0.006616676691919565,
0.03822968900203705,
0.024872327223420143,
-0.02471288852393627,
0.022321319207549095,
-0.019274281337857246,
0.0014803374651819468,
0.0364227220416069,
-0.01187813002616167,
0.004455406218767166,
-0.050169821828603745,
0.044500913470983505,
-0.02393341436982155,
0.037202198058366776,
0.06877092272043228,
-0.004712278489023447,
0.02988576516509056,
-0.037166766822338104,
-0.03546609729528427,
-0.01811392791569233,
0.032950516790151596,
-0.018866829574108124,
0.033995721489191055,
0.009052534587681293,
-0.02233903482556343,
0.050913866609334946,
-0.01279932726174593,
0.026750152930617332,
0.04652046412229538,
0.036493584513664246,
0.0013419364113360643,
-0.024996334686875343,
0.029460597783327103,
-0.011665546335279942,
-0.02547464892268181,
0.026537567377090454,
0.052791692316532135,
-0.004836285952478647,
-0.02017776295542717,
-0.024234574288129807,
-0.000002140890956070507,
-0.025332925841212273,
-0.008184483274817467,
-0.003935018088668585,
0.005832773167639971,
0.00047637635725550354,
-0.004583842121064663,
0.05236652120947838,
0.004355757497251034,
0.010266034863889217,
-0.005332314874976873,
-0.044748928397893906,
-0.00740058021619916,
0.040001221001148224,
-0.06076359003782272,
-0.08241172879934311,
0.01415455061942339,
-0.0007672953652217984,
0.04092241823673248,
-0.029620036482810974,
-0.007281001657247543,
-0.023437384516000748,
-0.0016353466780856252,
-0.036989614367485046,
0.06781429052352905,
-0.01550977397710085,
0.026608429849147797,
-0.01146182045340538,
-0.023703115060925484,
-0.022870494052767754,
-0.03321624919772148,
-0.006474954076111317,
0.0004904932575300336,
0.015979230403900146,
0.04715821519494057,
-0.036493584513664246,
0.008193341083824635,
0.05172877013683319,
0.03748564422130585,
-0.012436163611710072,
0.012941050343215466,
0.028078801929950714,
-0.019274281337857246,
-0.0074050091207027435,
-0.039080023765563965,
-0.038867440074682236,
0.017210446298122406,
-0.04552840441465378,
-0.06742455810308456,
0.004400045610964298,
0.02954917401075363,
0.012223578989505768,
0.04481979086995125,
0.020478924736380577,
-0.010558337904512882,
0.0169712882488966,
-0.001279932796023786,
0.05073671042919159,
-0.020939523354172707,
0.04117043316364288,
-0.0205143541097641,
-0.008751374669373035,
0.0019974038004875183,
-0.006040928419679403,
-0.025456933304667473,
-0.022693341597914696,
0.00508430041372776,
-0.050913866609334946,
-0.0023140653502196074,
-0.010310323908925056,
-0.018494807183742523,
0.010097739286720753,
0.027157604694366455,
-0.003137828316539526,
0.0004957524943165481,
-0.015306047163903713,
0.04230421409010887,
0.029673181474208832,
-0.006621105596423149,
0.017476174980401993,
0.05378374829888344,
-0.02655528299510479,
-0.017936773598194122,
-0.03080696240067482,
0.013685094192624092,
-0.003450060961768031,
0.0027325900737196207,
-0.028450824320316315,
0.04411117732524872,
0.014499999582767487,
-0.025669516995549202,
-0.013490226119756699,
0.010212888941168785,
-0.006213652901351452,
-0.007613163907080889,
-0.02846853993833065,
0.0023251373786479235,
0.05119730904698372,
-0.02446487359702587,
0.009885155595839024,
-0.0006931123789399862,
-0.0007274358649738133,
0.03822968900203705,
-0.0074094380252063274,
0.021541845053434372,
-0.04446548596024513,
0.028255954384803772,
0.009495418518781662,
0.009814294055104256,
0.012259010225534439,
0.030700670555233955,
-0.03500549867749214,
-0.014136835001409054,
-0.02822052501142025,
0.0004913236480206251,
0.008543219417333603,
-0.026413559913635254,
-0.014686010777950287,
0.04039095714688301,
0.012223578989505768,
0.013835675083100796,
0.01657269336283207,
-0.008357208222150803,
0.003399129491299391,
0.02193158119916916,
-0.00009874913666862994,
-0.022108735516667366,
-0.022781917825341225,
-0.04343799501657486,
-0.002213309286162257,
0.015704642981290817,
-0.041418448090553284,
-0.013933109119534492,
-0.0031865453347563744,
0.016581552103161812,
-0.036493584513664246,
0.0017217089189216495,
-0.021240683272480965,
0.009814294055104256,
0.008906383067369461,
0.01706872321665287,
0.022693341597914696,
0.017954489216208458,
0.02054978534579277,
0.0027170891407877207,
0.044961512088775635,
-0.003348197788000107,
0.013144776225090027,
-0.012117287144064903,
-0.008498930372297764,
-0.017334451898932457,
0.020567500963807106,
-0.0013629733584821224,
-0.018565667793154716,
-0.05803542956709862,
0.03286194056272507,
-0.005726481322199106,
0.03706047683954239,
0.030771533027291298,
-0.017210446298122406,
-0.0124007323756814,
0.0216304212808609,
0.0016774205723777413,
-0.011204947717487812,
-0.0491069033741951,
0.07029443979263306,
-0.01867195963859558,
0.037875380367040634,
0.00808704923838377,
-0.03635186329483986,
0.008653939701616764,
0.0006875763647258282,
0.0008431391324847937,
0.05077214166522026,
-0.0006576817249879241,
0.02405742183327675,
-0.005947922822088003,
0.00545189343392849,
-0.050205253064632416,
0.0211343914270401,
-0.020000610500574112,
-0.03225962072610855,
-0.011134086176753044,
0.020602932199835777,
0.0366707369685173,
-0.048327427357435226,
-0.011258093640208244,
-0.03993035852909088,
-0.015394624322652817,
-0.04701649397611618,
-0.016439829021692276,
-0.07631765305995941,
-0.03573182597756386,
0.012515882030129433,
-0.010301466099917889,
-0.03534208983182907,
0.051126450300216675,
0.018583383411169052,
0.036706168204545975,
-0.01854795217514038,
0.03392486274242401,
-0.02434086613357067,
0.03163958340883255,
0.01900855265557766,
0.038583993911743164,
-0.01096579059958458,
-0.027370188385248184,
0.011683261953294277,
-0.0019841173198074102,
-0.03300366550683975,
0.012126144953072071,
0.01605009101331234,
-0.04481979086995125,
0.01186041533946991,
0.0063509466126561165,
-0.01356994453817606,
-0.020691508427262306,
0.02809651754796505,
-0.02393341436982155,
-0.015872938558459282,
-0.006249083671718836,
-0.02605925314128399,
-0.017883628606796265,
-0.016067806631326675,
-0.03502321243286133,
0.013782528229057789,
0.0007894394802860916,
0.040993280708789825,
0.005048869643360376,
0.031037261709570885,
0.04673304781317711,
0.0218784362077713,
-0.043083690106868744,
0.0345626138150692,
-0.010434330441057682,
0.010762064717710018,
0.024376297369599342,
-0.009034819900989532,
-0.011116371490061283,
0.00690897973254323,
-0.03068295493721962,
0.01651954837143421,
-0.003966019954532385,
-0.013764813542366028,
0.05286255106329918,
-0.03298594802618027,
-0.03626328706741333,
-0.012276725843548775
] |
For a complicated algorithm, its implementation by a human programmer usually
starts with outlining a rough control flow followed by iterative enrichments,
eventually yielding carefully generated syntactic structures and variables in a
hierarchy. However, state-of-the-art large language models generate codes in a
single pass, without intermediate warm-ups to reflect the structured thought
process of "outline-then-detail". Inspired by the recent success of
chain-of-thought prompting, we propose ChainCoder, a program synthesis language
model that generates Python code progressively, i.e. from coarse to fine in
multiple passes. We first decompose source code into layout frame components
and accessory components via abstract syntax tree parsing to construct a
hierarchical representation. We then reform our prediction target into a
multi-pass objective, each pass generates a subsequence, which is concatenated
in the hierarchy. Finally, a tailored transformer architecture is leveraged to
jointly encode the natural language descriptions and syntactically aligned I/O
data samples. Extensive evaluations show that ChainCoder outperforms
state-of-the-arts, demonstrating that our progressive generation eases the
reasoning procedure and guides the language model to generate higher-quality
solutions. Our codes are available at:
https://github.com/VITA-Group/ChainCoder. | [
0.01676715910434723,
-0.003189545590430498,
-0.01583804003894329,
0.011570975184440613,
-0.010297737084329128,
0.01511539239436388,
0.007544791791588068,
0.03368917480111122,
-0.08307013660669327,
0.06610511243343353,
0.046180665493011475,
-0.02119768224656582,
0.03079858049750328,
-0.014668039046227932,
0.004503647331148386,
0.041707128286361694,
0.019322236999869347,
0.008112587034702301,
0.015992894768714905,
-0.08114307373762131,
-0.03322461247444153,
-0.018651207908988,
-0.04831419885158539,
0.017541425302624702,
0.05113596469163895,
-0.017300542443990707,
-0.0015162709169089794,
-0.014341126196086407,
-0.009377221576869488,
0.06204451248049736,
0.001271086628548801,
0.0193050317466259,
-0.00674471678212285,
-0.023451656103134155,
0.014943333342671394,
0.00973854586482048,
0.01551112812012434,
0.04101889207959175,
-0.021662240847945213,
0.02210959605872631,
0.01856517791748047,
-0.027305779978632927,
0.013308771885931492,
0.00011566941975615919,
0.037302415817976,
0.003647653153166175,
0.009841781109571457,
0.024845335632562637,
0.018651207908988,
-0.03812829777598381,
0.021868713200092316,
-0.013274360448122025,
0.04731625318527222,
-0.0035207595210522413,
0.01120965089648962,
0.07639424502849579,
0.017876941710710526,
-0.02303871512413025,
0.10185898840427399,
0.03360314294695854,
-0.02035459317266941,
-0.002744342666119337,
-0.048899199813604355,
-0.004503647331148386,
0.0596700981259346,
-0.010237516835331917,
-0.026359455659985542,
0.032570790499448776,
0.05137684941291809,
0.010228914208710194,
-0.009927810169756413,
-0.05041331797838211,
-0.06139069050550461,
0.0627327486872673,
0.001800168422050774,
0.006607069633901119,
0.011441930197179317,
0.03537535294890404,
0.017162896692752838,
-0.025894895195961,
-0.0031723398715257645,
-0.00540695758536458,
-0.016173556447029114,
-0.03119431622326374,
0.08368954807519913,
-0.009514868259429932,
0.012543109245598316,
-0.035822704434394836,
0.0020743876229971647,
-0.04786684364080429,
-0.006176922004669905,
0.02493136376142502,
0.004886478651314974,
-0.046318311244249344,
-0.05736450478434563,
0.012500094249844551,
-0.020784739404916763,
-0.0026109968312084675,
-0.052374791353940964,
-0.00452945614233613,
-0.013833552598953247,
0.04700654745101929,
-0.02136974036693573,
-0.01551112812012434,
0.018307089805603027,
-0.00458537507802248,
0.018272677436470985,
0.003045446239411831,
-0.034549467265605927,
0.07439836114645004,
-0.03200299292802811,
-0.03417093679308891,
0.007174864877015352,
0.04005536064505577,
-0.0035917337518185377,
-0.03387843817472458,
-0.011441930197179317,
-0.06176922097802162,
0.028682252392172813,
-0.04635272175073624,
0.06304245442152023,
0.0077512627467513084,
-0.028579017147421837,
0.001052248990163207,
-0.001722741755656898,
0.08898896723985672,
0.02677239663898945,
-0.04002094641327858,
0.007781372871249914,
0.0320374071598053,
-0.045526839792728424,
-0.01463362667709589,
-0.0073555270209908485,
0.005656443070620298,
0.08988367766141891,
0.03456667438149452,
0.07584365457296371,
0.018547970801591873,
0.016595100983977318,
-0.009506265632808208,
-0.0199588555842638,
-0.025567982345819473,
0.021077239885926247,
0.0033938658889383078,
0.021042829379439354,
0.021472975611686707,
0.021559005603194237,
0.086029551923275,
0.010977370664477348,
0.016087526455521584,
-0.06558892875909805,
-0.0021883768495172262,
-0.04446007311344147,
0.06672452390193939,
-0.0021916029509156942,
0.005893024615943432,
0.02584327757358551,
0.04150065779685974,
0.016913410276174545,
0.01559715811163187,
0.027959605678915977,
0.00506714079529047,
-0.00023926969151943922,
0.007243688218295574,
0.021163269877433777,
-0.0037035723216831684,
0.023055920377373695,
0.0027615486178547144,
-0.08327660709619522,
0.034325793385505676,
0.06576099246740341,
0.03654535487294197,
0.04975949227809906,
0.018238265067338943,
0.0032970826141536236,
-0.0010285908356308937,
0.044735368341207504,
-0.03620123490691185,
0.0024862540885806084,
0.026910044252872467,
-0.03136637434363365,
0.011063400655984879,
0.05024125799536705,
-0.005940340459346771,
0.12161137908697128,
0.020853564143180847,
0.08231307566165924,
0.05375126376748085,
0.00236366200260818,
-0.03623564913868904,
0.010977370664477348,
0.0024174305144697428,
0.009446045383810997,
-0.016870396211743355,
-0.00041751217213459313,
-0.05564391613006592,
-0.031572844833135605,
0.021266505122184753,
-0.06775687634944916,
0.07171423733234406,
-0.04270507022738457,
-0.0649351105093956,
-0.0443224273622036,
-0.00401542941108346,
-0.019890032708644867,
0.03926388919353485,
0.0021604171488434076,
0.002705629449337721,
0.034945204854011536,
-0.09174191206693649,
0.023709744215011597,
0.01961473748087883,
-0.026910044252872467,
-0.07474247366189957,
0.02083635702729225,
-0.028854312375187874,
-0.029714608564972878,
0.06104657053947449,
-0.0070157102309167385,
-0.042498599737882614,
-0.003161586122587323,
0.013325978070497513,
0.03699270635843277,
-0.06428128480911255,
0.018152235075831413,
-0.00006206897523952648,
0.007428652141243219,
0.005647839978337288,
-0.0066457828506827354,
-0.014891715720295906,
-0.0491400808095932,
0.0019743782468140125,
0.01342921331524849,
-0.021868713200092316,
0.053820088505744934,
-0.02785636857151985,
0.023107537999749184,
-0.03267402574419975,
0.01065906137228012,
0.038369182497262955,
-0.003938002977520227,
0.0024604452773928642,
-0.05268449708819389,
0.006353282369673252,
0.08561661094427109,
0.02229885943233967,
0.002312044147402048,
0.03589152917265892,
0.02167944796383381,
0.02377856895327568,
0.005449972115457058,
0.04686890169978142,
0.02912960760295391,
-0.007166261784732342,
-0.04428801313042641,
0.045354779809713364,
0.055093325674533844,
-0.04143183305859566,
0.005759678781032562,
-0.005153170321136713,
0.0012581822229549289,
0.014754068106412888,
0.007863101549446583,
0.04993155226111412,
0.01794576458632946,
-0.013988405466079712,
0.0364077053964138,
0.010297737084329128,
0.011226857081055641,
-0.007815784774720669,
0.04779801890254021,
-0.037577707320451736,
-0.001841032411903143,
-0.026531513780355453,
0.027581075206398964,
-0.051101554185152054,
0.01908135414123535,
0.0007135075866244733,
0.04401271790266037,
0.05646979808807373,
0.04291154071688652,
-0.015106789767742157,
0.03102225624024868,
0.05092949420213699,
0.006095193792134523,
-0.03922947496175766,
-0.04511389881372452,
-0.03544417768716812,
-0.07715130597352982,
-0.008224424906075,
0.0024324855767190456,
0.04834860935807228,
-0.03413652628660202,
0.007811483461409807,
0.034773144870996475,
0.019201796501874924,
-0.04638713598251343,
-0.00260024331510067,
0.011355901136994362,
-0.0359947644174099,
-0.05068861320614815,
-0.05488685518503189,
0.021352535113692284,
-0.014392743818461895,
-0.04421919211745262,
0.03571946918964386,
-0.01763605885207653,
0.0395047701895237,
-0.00008952450298238546,
0.05454273521900177,
0.036614179611206055,
-0.04435683786869049,
0.010564428754150867,
0.0381627082824707,
0.00904170610010624,
0.03195137530565262,
0.083345428109169,
0.000439557246863842,
-0.028458576649427414,
0.020027680322527885,
0.020113710314035416,
0.061321865767240524,
-0.0640748143196106,
0.04263624548912048,
-0.02264297753572464,
0.05278773233294487,
0.05560950189828873,
-0.0018603891367092729,
0.0031121191568672657,
0.006215635221451521,
-0.06266392767429352,
-0.04573331028223038,
-0.03537535294890404,
-0.027839163318276405,
-0.030506080016493797,
-0.03571946918964386,
-0.03152122721076012,
0.027873575687408447,
-0.02685842663049698,
-0.03981447592377663,
-0.03396446630358696,
-0.018634000793099403,
0.018375912681221962,
-0.024071069434285164,
-0.008749205619096756,
-0.034945204854011536,
-0.008938470855355263,
0.024380775168538094,
0.005708060692995787,
-0.01799738220870495,
0.0009119132882915437,
-0.0015302506508305669,
-0.0077641671523451805,
-0.027667105197906494,
0.0473850779235363,
0.003318590112030506,
0.031658876687288284,
0.035650648176670074,
-0.006185525096952915,
0.100895456969738,
-0.008779316209256649,
-0.08451543003320694,
-0.025877689942717552,
0.0008092154748737812,
-0.0434277169406414,
-0.05306302756071091,
-0.029456518590450287,
-0.0010269777849316597,
-0.008499720133841038,
0.01780811697244644,
-0.0026604640297591686,
0.04993155226111412,
-0.024724893271923065,
-0.008620161563158035,
0.0011022536782547832,
0.04277389496564865,
-0.01248288806527853,
-0.03224387764930725,
0.01511539239436388,
0.04545801505446434,
0.0011173088569194078,
0.03792182728648186,
0.0005645689670927823,
0.001716289552859962,
-0.03854123875498772,
0.040433891117572784,
0.00662427581846714,
0.010280531831085682,
-0.014530391432344913,
0.00040030627860687673,
0.034549467265605927,
-0.042360950261354446,
-0.03737123683094978,
-0.056228917092084885,
0.057192448526620865,
0.026737984269857407,
-0.0024711990263313055,
0.0038541238754987717,
0.009970825165510178,
-0.04002094641327858,
-0.019649149850010872,
0.010951561853289604,
0.016999440267682076,
0.004568169359117746,
-0.020337386056780815,
-0.03854123875498772,
0.020044885575771332,
0.02334842085838318,
0.0221612136811018,
-0.004346643108874559,
-0.008172807283699512,
0.014177670702338219,
-0.01983841508626938,
0.01956311985850334,
0.06865158677101135,
0.015046568587422371,
-0.03592593967914581,
0.028905929997563362,
-0.0245700404047966,
0.028974752873182297,
0.037887416779994965,
-0.0193050317466259,
0.0152444364503026,
-0.018307089805603027,
0.023537686094641685,
0.04208565875887871,
0.026307838037610054,
0.03167608007788658,
-0.07391659170389175,
0.01763605885207653,
0.048899199813604355,
0.02541312947869301,
0.0015592856798321009,
-0.04112212732434273,
-0.044115953147411346,
-0.09064073860645294,
-0.046972136944532394,
-0.01576061360538006,
-0.023279597982764244,
0.01584664359688759,
-0.011648401618003845,
-0.02536151185631752,
0.01471965666860342,
-0.007626520004123449,
-0.003056199988350272,
0.0026841219514608383,
-0.026600338518619537,
0.015158407390117645,
0.05691715329885483,
-0.05234038084745407,
-0.023537686094641685,
0.03922947496175766,
-0.04067477211356163,
-0.009050308726727962,
0.024828128516674042,
-0.02592930756509304,
-0.017894146963953972,
-0.035340938717126846,
0.03726800158619881,
-0.040743596851825714,
0.009351412765681744,
0.03843800351023674,
-0.02224724180996418,
-0.007235085591673851,
-0.024518422782421112,
0.012775388546288013,
0.010125678032636642,
-0.017541425302624702,
0.017653264105319977,
0.010977370664477348,
0.031486816704273224,
-0.053200677037239075,
0.017825324088335037,
-0.01601870357990265,
-0.010667664930224419,
0.024776510894298553,
0.07763306796550751,
-0.04098447784781456,
0.05027567222714424,
-0.007256592623889446,
0.020647093653678894,
-0.07405424118041992,
0.019098561257123947,
-0.021748270839452744,
0.017162896692752838,
-0.002712081652134657,
0.01169141661375761,
0.005854310933500528,
0.05072302371263504,
-0.028544606640934944,
-0.035100057721138,
-0.003757340833544731,
0.027047691866755486,
0.01987282745540142,
0.0128356097266078,
-0.009446045383810997,
-0.02668636664748192,
-0.021094447001814842,
0.027305779978632927,
-0.020113710314035416,
-0.0039509073831140995,
-0.023314008489251137,
0.008929867297410965,
0.02536151185631752,
0.009015897288918495,
0.03544417768716812,
-0.02241930179297924,
0.011072003282606602,
-0.03960800543427467,
-0.005037030205130577,
-0.03878212347626686,
0.013472228311002254,
-0.011794651858508587,
-0.030265197157859802,
-0.011381709948182106,
-0.022574154660105705,
0.01531326025724411,
-0.0052736117504537106,
0.0018485600594431162,
-0.01785973459482193,
0.010753693990409374,
-0.00008885240094969049,
0.004675706382840872,
0.0390574187040329,
-0.0447697788476944,
0.012525903061032295,
0.03344829007983208,
-0.020647093653678894,
0.04525154456496239,
-0.005019824486225843,
-0.012044137343764305,
0.04229212924838066,
-0.01101178303360939,
-0.018461942672729492,
-0.017550028860569,
-0.039780065417289734,
0.023245185613632202,
-0.002494856948032975,
-0.012637740932404995,
0.0074544609524309635,
-0.01851356029510498,
0.010504208505153656,
-0.0368550606071949,
0.027013279497623444,
-0.04064036160707474,
-0.017532823607325554,
-0.011527960188686848,
0.0008291098056361079,
-0.03005872666835785,
0.0006344679277390242,
-0.03699270635843277,
0.0017281186301261187,
-0.02207518368959427,
0.03651094064116478,
-0.07481130212545395,
-0.02343445084989071,
-0.00343903130851686,
-0.057158034294843674,
0.005837105214595795,
-0.03719918057322502,
0.009626707062125206,
0.025860482826828957,
0.029989901930093765,
-0.011829063296318054,
0.024759305641055107,
0.023159155622124672,
0.005574714858084917,
0.02360650897026062,
0.015648776665329933,
0.04463213309645653,
-0.005295118782669306,
-0.02988666668534279,
0.02966298907995224,
0.042016834020614624,
0.0223848894238472,
0.040433891117572784,
0.03726800158619881,
0.008869647048413754,
0.03339667245745659,
-0.04150065779685974,
-0.035788293927907944,
-0.02949093095958233,
0.01463362667709589,
0.041087713092565536,
-0.0188748836517334,
0.002337853191420436,
-0.00018953386461362243,
-0.006379091180860996,
0.012844212353229523,
-0.046972136944532394,
-0.03229549527168274,
0.030161961913108826,
0.019236208871006966,
0.01667252741754055,
-0.036270059645175934,
-0.030179167166352272,
-0.018221059814095497,
0.004774640314280987,
-0.008714794181287289,
-0.05457714945077896,
-0.03551299870014191,
0.013575463555753231,
0.021971948444843292,
-0.08492837846279144,
-0.040915656834840775,
-0.013282963074743748,
0.06899569928646088,
-0.03186534717679024,
0.011089209467172623,
-0.0004720871802419424,
-0.0182038526982069,
-0.014495979994535446,
-0.0051445672288537025,
-0.04353095218539238,
-0.014745465479791164,
-0.041707128286361694,
0.00139905558899045,
-0.009841781109571457,
-0.004830559249967337,
-0.0040627457201480865,
0.021249299868941307,
-0.01601870357990265,
0.003525060834363103,
-0.03909182921051979,
0.013928184285759926,
0.02193753607571125,
-0.00020378250337671489,
-0.04112212732434273,
-0.016164952889084816,
0.003494950709864497,
-0.027271367609500885,
0.02487974613904953,
-0.024191509932279587,
-0.0390574187040329,
-0.007247989997267723,
-0.017550028860569,
0.005729568190872669,
0.03164166957139969,
-0.007785674650222063,
-0.006052179262042046,
-0.03312137722969055,
-0.014556200243532658,
0.005862914025783539,
0.04604301601648331,
-0.019494296982884407,
0.021885918453335762,
-0.028905929997563362,
0.006959790829569101,
0.07639424502849579,
0.026135778054594994,
0.03136637434363365,
0.017481205984950066,
0.012672153301537037,
0.0631801038980484,
0.01004825159907341,
-0.010056855157017708,
0.006714606657624245,
-0.0013442117488011718,
-0.03062652051448822,
-0.010633252561092377,
0.03781859204173088,
0.0019087806576862931,
0.020595474168658257,
-0.0019399664597585797,
0.03308696672320366,
-0.05072302371263504,
-0.013833552598953247,
0.046490371227264404,
-0.027460632845759392,
0.03747447207570076,
0.0029637180268764496,
-0.03418814390897751,
-0.03515167534351349,
0.04845184460282326,
-0.011433327570557594,
-0.028492987155914307,
0.03702712059020996,
0.022281654179096222,
0.009626707062125206,
0.03198578953742981,
-0.027615485712885857,
-0.0017603797605261207,
-0.011794651858508587,
-0.04095006734132767,
-0.0017668319633230567,
-0.0188748836517334,
-0.01728333719074726,
-0.0675848200917244,
-0.02725416235625744,
0.028028428554534912,
-0.0649695172905922,
0.017274733632802963,
-0.049346551299095154,
0.011820460669696331,
-0.006852253805845976,
-0.006026369985193014,
0.00492519186809659,
0.014969142153859138,
0.0399177111685276,
0.004144473932683468,
0.036270059645175934,
0.03484196960926056,
-0.03351711481809616,
-0.006542547605931759,
0.03124593384563923,
0.017980176955461502,
-0.010409575887024403,
-0.0024217318277806044,
-0.04566448554396629,
-0.031005050987005234,
0.000284166366327554,
0.0675504058599472,
-0.030265197157859802,
0.005716663785278797,
0.02610136568546295,
-0.0482797846198082,
0.024466805160045624,
-0.007381335832178593,
-0.007032915949821472,
0.011028988286852837,
0.004002525005489588,
0.01780811697244644,
-0.013024874031543732,
-0.07075070589780807,
-0.03286328911781311,
0.004342341795563698,
-0.020784739404916763,
0.02900916524231434,
0.03343108296394348,
-0.017429588362574577,
0.03229549527168274,
-0.042188894003629684,
-0.06490069627761841,
0.015803629532456398,
-0.01483149453997612,
-0.005338133778423071,
0.017704881727695465,
0.03998653590679169,
-0.042188894003629684,
-0.022144006565213203,
0.0024453899823129177,
-0.015167010016739368,
0.009394426830112934,
-0.017739294096827507,
-0.002613147720694542,
0.018806060776114464,
0.007712549529969692,
0.031263139098882675,
0.034687116742134094,
-0.003978866618126631,
0.057192448526620865,
0.0018657658947631717,
0.009127735160291195,
-0.001531326095573604,
-0.01650046743452549,
0.023314008489251137,
-0.005071442108601332,
-0.020681504160165787,
0.01609613001346588,
0.006503834389150143,
-0.013498037122189999,
0.058293625712394714,
0.009902001358568668,
-0.027133721858263016,
0.0399177111685276,
-0.013196933083236217,
0.010013840161263943,
0.014461567625403404,
-0.0005511268391273916,
-0.009807368740439415,
0.035306528210639954,
-0.022230036556720734,
0.026135778054594994,
-0.0019453432178124785,
-0.0012549561215564609,
-0.03265681862831116,
0.02417430467903614,
-0.0017539275577291846,
0.005209089256823063,
-0.0015302506508305669,
-0.006181223317980766,
-0.02777034044265747,
-0.002690574387088418,
0.03171049430966377,
0.007957733236253262,
0.01913297176361084,
0.03537535294890404,
0.011527960188686848,
0.015717599540948868,
0.03405049815773964,
0.04015859588980675,
-0.0381627082824707,
-0.005011221393942833,
0.02365812659263611,
0.029112400487065315,
-0.010650458745658398,
-0.031211521476507187,
-0.00041831869748421013,
0.00905891228467226,
-0.05216832086443901,
0.04452889785170555,
-0.008370675146579742,
0.02465607039630413,
0.0210600346326828,
0.014341126196086407,
-0.07391659170389175,
-0.04803890362381935,
-0.017550028860569,
0.014599215239286423,
0.032794464379549026,
0.02193753607571125,
-0.012224799953401089,
-0.04029624164104462,
0.03561623394489288,
0.023227978497743607,
0.0020862165838479996,
0.0024582943879067898,
0.006353282369673252,
-0.013205536641180515,
-0.0043961103074252605,
-0.011312886141240597,
-0.012302226386964321,
0.04332448169589043,
-0.01452178880572319,
-0.005850009620189667,
-0.024036657065153122,
0.006503834389150143,
-0.002264728071168065,
0.029422108083963394,
0.02111165225505829,
0.00871049240231514,
0.009351412765681744,
-0.010951561853289604,
0.02159341797232628,
-0.011992519721388817,
0.04198242351412773,
0.007910417392849922,
-0.013747522607445717,
-0.007054423447698355,
0.021404152736067772,
-0.05918833240866661,
-0.001915232976898551,
-0.006938283331692219,
0.013541052117943764,
-0.007957733236253262,
-0.014478773809969425,
0.01324855163693428,
0.024552835151553154,
0.0039444551803171635,
-0.020062092691659927,
0.032708436250686646,
0.007123246788978577,
0.04559566453099251,
0.031177110970020294,
-0.0304888729006052,
0.06028950959444046,
0.06916776299476624,
0.016139144077897072,
0.015296055004000664,
-0.024604452773928642,
0.020044885575771332,
-0.025086218491196632,
-0.03131475672125816,
-0.038334768265485764,
0.006374789867550135,
0.007940527983009815,
0.004731625318527222,
-0.03984889015555382,
-0.014409950003027916,
-0.0164574533700943,
0.01983841508626938,
0.007871704176068306,
-0.027839163318276405,
0.04972508177161217,
-0.02255694940686226,
-0.05674509331583977,
-0.018289882689714432,
0.0035530205350369215,
-0.0072264824993908405,
0.0019517955370247364,
0.029198430478572845,
-0.022883860394358635,
0.023709744215011597,
-0.009342809207737446,
0.020647093653678894,
-0.03857565298676491,
0.0074243503622710705,
0.001985131995752454,
-0.019098561257123947,
-0.04501066356897354,
0.026703573763370514,
0.0324675552546978,
-0.0364077053964138,
0.020475033670663834,
0.008792220614850521,
0.003256218507885933,
0.017223116010427475,
0.060840100049972534,
-0.040433891117572784,
-0.0005298882606439292,
0.00715335737913847,
-0.002716383198276162,
-0.061493925750255585,
0.016027305275201797,
0.022539742290973663,
-0.04404713213443756,
0.05774303525686264,
-0.02369253896176815,
0.0399177111685276,
-0.018444735556840897,
-0.03110828623175621,
-0.024759305641055107,
-0.011106415651738644,
-0.012216196395456791,
0.01698223315179348,
0.00872769858688116,
-0.01715429313480854,
0.02128371223807335,
0.016552086919546127,
-0.04174153879284859,
0.0005946792662143707,
0.004907986149191856,
0.022677389904856682,
0.01970076747238636,
-0.017575837671756744,
0.04986272752285004,
-0.020733121782541275,
-0.0033293436281383038,
-0.023159155622124672,
-0.010968768037855625,
-0.06620834767818451,
0.01208715233951807,
0.013799140229821205,
0.0027550964150577784,
0.018840471282601357,
-0.013412007130682468,
0.00506714079529047,
0.0076351226307451725,
-0.027632692828774452,
-0.019976062700152397,
-0.017059659585356712,
0.01908135414123535,
0.014762671664357185,
0.04893361032009125,
0.02646269090473652,
-0.02198915369808674,
0.05103272944688797,
0.016397232189774513,
0.03888535872101784,
0.029215635731816292,
-0.02663474902510643,
-0.018014589324593544,
-0.0032970826141536236,
-0.0029121004045009613,
-0.012827006168663502,
0.015347672626376152,
0.006103796884417534,
-0.023675333708524704,
-0.033069759607315063,
-0.012276417575776577,
0.03695829585194588,
0.00540695758536458,
-0.00668019475415349,
-0.0311599038541317,
0.004826257936656475,
-0.03620123490691185,
-0.0425674244761467,
-0.017472602427005768,
-0.0122850202023983,
-0.009927810169756413,
0.015123995020985603,
-0.03518608585000038,
-0.018358707427978516,
0.01246568188071251,
0.027219749987125397,
0.0021303067915141582,
-0.02768431045114994,
-0.009351412765681744,
0.010710678994655609,
-0.0034540866035968065,
0.05784627050161362,
-0.026135778054594994,
0.002456143731251359,
-0.0003271811583545059,
-0.02856181189417839,
-0.033069759607315063,
0.012181784957647324,
0.026221808046102524,
-0.05058537796139717,
-0.025774454697966576,
0.003871329827234149,
0.013403404504060745,
0.02513783611357212,
-0.002385169267654419,
-0.06445334106683731,
-0.006456518080085516,
0.017739294096827507,
-0.006568356417119503,
-0.018892090767621994,
-0.04270507022738457,
-0.03826594352722168,
0.007678137626498938,
-0.058947451412677765,
0.05409538373351097,
0.005824200809001923,
0.04115653783082962,
0.017360763624310493,
0.058293625712394714,
-0.05344155803322792,
0.01947709172964096,
-0.03654535487294197,
-0.014384141191840172,
-0.008301852270960808,
-0.002389470813795924,
-0.009360015392303467,
-0.014865906909108162,
-0.03232990577816963,
-0.010074060410261154,
0.04260183498263359,
-0.00046214001486077905,
0.04989714175462723,
-0.056676268577575684,
0.03298373147845268,
-0.04621507599949837
] |
The development of Adaptive Cruise Control (ACC) systems aims to enhance the
safety and comfort of vehicles by automatically regulating the speed of the
vehicle to ensure a safe gap from the preceding vehicle. However, conventional
ACC systems are unable to adapt themselves to changing driving conditions and
drivers' behavior. To address this limitation, we propose a Long Short-Term
Memory (LSTM) based ACC system that can learn from past driving experiences and
adapt and predict new situations in real time. The model is constructed based
on the real-world highD dataset, acquired from German highways with the
assistance of camera-equipped drones. We evaluated the ACC system under
aggressive lane changes when the side lane preceding vehicle cut off, forcing
the targeted driver to reduce speed. To this end, the proposed system was
assessed on a simulated driving environment and compared with a feedforward
Artificial Neural Network (ANN) model and Model Predictive Control (MPC) model.
The results show that the LSTM-based system is 19.25% more accurate than the
ANN model and 5.9% more accurate than the MPC model in terms of predicting
future values of subject vehicle acceleration. The simulation is done in
Matlab/Simulink environment. | [
-0.028621245175600052,
0.029842056334018707,
-0.017692076042294502,
-0.013961819000542164,
0.009873069822788239,
0.027652347460389137,
-0.035674821585416794,
0.024416226893663406,
-0.08619315922260284,
-0.007988563738763332,
0.04937503859400749,
-0.020831305533647537,
0.016451885923743248,
-0.030423395335674286,
0.013409547507762909,
0.03395018354058266,
0.0006933675613254309,
-0.03193487599492073,
0.009751957841217518,
-0.027787992730736732,
-0.020153077319264412,
-0.031082244589924812,
-0.035907357931137085,
0.024687519297003746,
-0.005634141620248556,
0.04205017164349556,
0.04743724316358566,
0.014620669186115265,
-0.04704968258738518,
0.015948059037327766,
0.002712914254516363,
0.022245896980166435,
-0.029357606545090675,
-0.01829279214143753,
-0.032845638692379,
-0.026664070785045624,
0.06386975198984146,
0.03393080458045006,
-0.017042914405465126,
0.046003274619579315,
0.05115780979394913,
0.009776179678738117,
-0.04701092839241028,
-0.025578904896974564,
-0.0017440163064748049,
-0.050382692366838455,
-0.07138840109109879,
-0.0259083304554224,
-0.0627070739865303,
-0.03191549703478813,
-0.008158120326697826,
-0.05142910033464432,
0.05053771659731865,
-0.017943989485502243,
-0.025830818340182304,
0.05111905559897423,
0.022168384864926338,
0.03462840989232063,
0.058288898319005966,
0.05057647079229355,
0.021703314036130905,
0.011161703616380692,
-0.06433482468128204,
0.002469478640705347,
-0.05084776133298874,
-0.04007361829280853,
0.06697022169828415,
-0.00028491654666140676,
-0.016713488847017288,
-0.02976454421877861,
-0.08410034328699112,
-0.006137968506664038,
-0.00901559554040432,
-0.002249054377898574,
0.01694602519273758,
-0.029977701604366302,
-0.018234658986330032,
0.10254815965890884,
0.005905432626605034,
0.0408874936401844,
-0.0016834600828588009,
0.03166358545422554,
-0.03685687854886055,
0.028253063559532166,
0.03604300320148468,
0.008657102473080158,
0.06034296378493309,
-0.08076733350753784,
0.0681328997015953,
-0.07084581255912781,
-0.013884306885302067,
0.030675308778882027,
0.016810378059744835,
0.004028193186968565,
-0.038659028708934784,
0.010008715093135834,
0.013952130451798439,
-0.01349674817174673,
-0.053444407880306244,
-0.012692563235759735,
-0.036973144859075546,
0.001957173692062497,
0.02734229899942875,
0.04015113040804863,
0.0711171105504036,
-0.06631137430667877,
-0.08898358792066574,
0.02782674878835678,
0.028194930404424667,
0.1287471503019333,
-0.02815617434680462,
-0.020560013130307198,
0.027981771156191826,
0.009950581938028336,
-0.052863068878650665,
-0.0008695858996361494,
-0.002591802040114999,
-0.031779851764440536,
0.0599941611289978,
-0.011549263261258602,
0.057475022971630096,
0.09231659770011902,
-0.008763682097196579,
-0.013632393442094326,
0.01311887800693512,
0.01944578066468239,
0.057475022971630096,
-0.02238154225051403,
0.00019196289940737188,
-0.006060456391423941,
0.0246293842792511,
-0.026043975725769997,
-0.017827721312642097,
0.023059770464897156,
0.04115878418087959,
-0.007092332933098078,
-0.00001893324952106923,
-0.0039337254129350185,
0.004553820006549358,
-0.006176724098622799,
-0.05786258354783058,
-0.03336884453892708,
-0.007881985045969486,
0.02544325962662697,
0.005324094090610743,
0.039724815636873245,
-0.0017730832332745194,
0.03205114230513573,
-0.04398796707391739,
0.03418271988630295,
-0.042747776955366135,
-0.015298898331820965,
0.0005392522434704006,
0.038620270788669586,
0.02645091339945793,
0.02321479469537735,
-0.04445303604006767,
0.025753306224942207,
-0.019503915682435036,
-0.02482316456735134,
0.036449939012527466,
-0.00539191672578454,
0.014145909808576107,
0.04290280118584633,
0.05763004720211029,
0.03189611807465553,
-0.005561474245041609,
-0.04720470681786537,
-0.07479891926050186,
0.033775780349969864,
-0.031527940183877945,
-0.02534637041389942,
0.006336592603474855,
-0.006196102127432823,
0.06352094560861588,
0.008521457202732563,
0.05650612711906433,
0.019174490123987198,
0.014698181301355362,
0.04174012318253517,
-0.06228075921535492,
-0.020947573706507683,
0.04832862690091133,
-0.01690726913511753,
0.0626683160662651,
0.013041365891695023,
0.04015113040804863,
0.019726762548089027,
0.06801663339138031,
-0.0354810431599617,
0.03226429969072342,
0.0273229219019413,
0.06429606676101685,
0.012934787198901176,
-0.003618833841755986,
0.012043401598930359,
-0.027245409786701202,
0.008807281963527203,
0.006695084739476442,
-0.005236893426626921,
0.001563559053465724,
-0.018990399315953255,
0.007809317205101252,
0.039957351982593536,
0.014707870781421661,
-0.03110162355005741,
0.027943016961216927,
0.032128654420375824,
0.020153077319264412,
-0.06061425432562828,
-0.042476486414670944,
-0.017023537307977676,
-0.061273105442523956,
0.01585116982460022,
0.020153077319264412,
-0.003718145890161395,
0.013574260286986828,
-0.043832942843437195,
0.06255204975605011,
-0.017091359943151474,
0.054762110114097595,
0.006152501795440912,
0.02238154225051403,
-0.024706896394491196,
-0.04418174549937248,
-0.0007091121515259147,
-0.015386098995804787,
0.008826659992337227,
-0.04344538226723671,
-0.06328841298818588,
-0.029628898948431015,
-0.01616121642291546,
-0.0005807331763207912,
0.008875104598701,
0.016568154096603394,
0.03379515931010246,
-0.0033741870429366827,
-0.01888382062315941,
-0.0018820841796696186,
-0.007911051623523235,
0.00888963881880045,
-0.00901559554040432,
0.0038901250809431076,
-0.010754766874015331,
0.013206078670918941,
-0.00954848900437355,
0.018893510103225708,
0.03937601298093796,
0.014814449474215508,
-0.016054637730121613,
-0.019833341240882874,
-0.016345307230949402,
-0.03577171266078949,
-0.004464196972548962,
-0.034802813082933426,
-0.0018275836482644081,
0.04394920915365219,
-0.05600230023264885,
-0.0008617136045359075,
-0.011646153405308723,
0.04945255070924759,
-0.036411184817552567,
-0.05247551202774048,
0.06662142276763916,
-0.05596354231238365,
-0.014010263606905937,
0.07146590948104858,
0.06720276176929474,
0.025210723280906677,
-0.04813484847545624,
0.00313680712133646,
-0.03931787610054016,
-0.03224492445588112,
-0.03664372116327286,
0.002708069747313857,
-0.0003248835855629295,
-0.002001985441893339,
-0.016035260632634163,
0.06848170608282089,
0.0017549163894727826,
-0.038678403943777084,
-0.011219837702810764,
0.047631021589040756,
0.024454982951283455,
-0.02840808779001236,
-0.051971685141325,
-0.017110737040638924,
-0.009592089802026749,
-0.054258283227682114,
0.01883537508547306,
-0.021160731092095375,
-0.025733929127454758,
-0.06987691670656204,
-0.003534055082127452,
0.015046984888613224,
0.03801955282688141,
0.01241158228367567,
-0.02928009442985058,
-0.02563703991472721,
-0.052049197256565094,
-0.017101047560572624,
-0.004045148845762014,
0.045731980353593826,
-0.017914922907948494,
-0.008841193281114101,
-0.008458479307591915,
-0.010686944238841534,
0.009756801649928093,
-0.028737511485815048,
-0.023137282580137253,
-0.0008907805313356221,
0.0028800491709262133,
-0.01995929703116417,
-0.02240091934800148,
-0.01515356358140707,
0.026664070785045624,
-0.02809803932905197,
-0.030810954049229622,
-0.0327681265771389,
-0.019009776413440704,
-0.00031065288931131363,
0.04584825038909912,
-0.030462151393294334,
0.04162385314702988,
0.007165000308305025,
-0.0163743756711483,
0.000027288102501188405,
-0.020346855744719505,
-0.03135353699326515,
0.02625713311135769,
-0.04073246940970421,
-0.0075380257330834866,
-0.07677546888589859,
-0.023408573120832443,
0.00008636816346552223,
0.011229527182877064,
-0.014465645886957645,
0.039763569831848145,
-0.04146883264183998,
-0.053909480571746826,
0.019523292779922485,
-0.018166836351156235,
-0.020017430186271667,
-0.004081482533365488,
-0.008361589163541794,
-0.030500907450914383,
-0.002388333436101675,
0.009596933610737324,
-0.018728796392679214,
-0.029570763930678368,
0.001101515837945044,
-0.022555943578481674,
-0.01881599798798561,
0.005827920977026224,
0.0005195715348236263,
-0.03658558428287506,
0.0050964029505848885,
-0.025540148839354515,
-0.07030323147773743,
-0.0020576969254761934,
0.034298986196517944,
0.01486289408057928,
-0.02379613369703293,
0.03489970415830612,
-0.032632481306791306,
0.03513224050402641,
-0.02728416584432125,
-0.02619899995625019,
0.02267221175134182,
0.028291819617152214,
-0.009093106724321842,
0.037011899054050446,
0.04348414018750191,
-0.04561571404337883,
0.006535216700285673,
0.009432220831513405,
-0.015492677688598633,
-0.04840613901615143,
0.015289208851754665,
0.04445303604006767,
0.019029155373573303,
0.028621245175600052,
0.016471264883875847,
0.027962394058704376,
-0.016296863555908203,
0.05026642605662346,
-0.006341436877846718,
-0.019542671740055084,
0.0023338329046964645,
0.07456638664007187,
0.02428058162331581,
-0.027710480615496635,
-0.011801176704466343,
-0.05507215857505798,
0.02699349634349346,
-0.0003357836976647377,
0.009475821629166603,
0.02705162949860096,
0.03313630819320679,
-0.087355837225914,
-0.01311887800693512,
0.02480378746986389,
-0.033194441348314285,
0.007596159819513559,
-0.04898747801780701,
0.05080900713801384,
-0.03964730352163315,
-0.027497323229908943,
0.010212183929979801,
0.03296190872788429,
0.007475047372281551,
-0.03751572594046593,
-0.007402379997074604,
-0.041120026260614395,
0.04611954092979431,
0.03765137493610382,
-0.03606238216161728,
0.011839932762086391,
-0.05635110288858414,
0.009500044398009777,
-0.007988563738763332,
0.05673866346478462,
-0.0020419524516910315,
0.01381648425012827,
0.013380479998886585,
0.05949033424258232,
-0.03586860001087189,
-0.005643830168992281,
-0.06611759215593338,
-0.015008228830993176,
0.03420209512114525,
-0.008109675720334053,
-0.0009767701849341393,
0.0014787804102525115,
-0.00385863590054214,
-0.05142910033464432,
-0.003056872868910432,
-0.008274388499557972,
-0.05305685102939606,
-0.009127018041908741,
-0.01723669469356537,
-0.032923150807619095,
-0.023292306810617447,
0.018505949527025223,
-0.031818605959415436,
-0.030442772433161736,
0.04425925761461258,
0.0012704674154520035,
0.00006975307769607753,
-0.061311859637498856,
-0.07018696516752243,
0.06305588036775589,
-0.009204530157148838,
-0.046855904161930084,
0.021800203248858452,
-0.021683935075998306,
0.02075379341840744,
-0.05371570214629173,
-0.004636176396161318,
-0.016180595383048058,
0.02840808779001236,
0.061621908098459244,
0.04801858216524124,
0.01175273209810257,
0.04584825038909912,
0.013574260286986828,
-0.051777906715869904,
-0.059412822127342224,
0.008182343095541,
0.023272927850484848,
0.0629396066069603,
-0.046545855700969696,
0.06305588036775589,
0.02212962880730629,
-0.015240764245390892,
0.04143007472157478,
-0.018147457391023636,
-0.012266247533261776,
-0.028466220945119858,
0.011035746894776821,
0.03987983986735344,
0.05294058099389076,
0.0327681265771389,
-0.013390169478952885,
-0.009393465705215931,
0.011055124923586845,
0.04515064135193825,
-0.011229527182877064,
-0.059916649013757706,
-0.05956784263253212,
0.008453634567558765,
-0.00358976679854095,
-0.04487935081124306,
-0.024978188797831535,
-0.026896607130765915,
-0.0061428127810359,
0.014349378645420074,
0.03232243284583092,
0.04941379278898239,
0.043561652302742004,
-0.01778896525502205,
-0.01800212264060974,
0.025772685185074806,
-0.004512642044574022,
-0.019998053088784218,
0.03596549108624458,
-0.0383296012878418,
-0.0764266699552536,
-0.042786531150341034,
-0.01025093998759985,
0.005333783105015755,
0.029415741562843323,
-0.018176525831222534,
-0.009412843734025955,
0.031043488532304764,
0.008967150002717972,
0.028214307501912117,
-0.0064770826138556,
-0.004941379185765982,
0.01720762625336647,
-0.02480378746986389,
0.008041853085160255,
-0.023931778967380524,
0.044336769729852676,
-0.02298225834965706,
0.019281068816781044,
0.05902526155114174,
0.0021763870026916265,
0.03902720659971237,
0.0013964241370558739,
-0.04197265952825546,
0.014620669186115265,
-0.004849334247410297,
-0.03695376589894295,
-0.005198137369006872,
-0.004653132054954767,
0.0025046011433005333,
0.06421855092048645,
-0.031295403838157654,
-0.010415652766823769,
-0.03495783731341362,
0.00806123111397028,
-0.0008181131561286747,
0.04158509895205498,
-0.018651284277439117,
-0.010241251438856125,
0.05018891394138336,
-0.03460903465747833,
-0.01012498326599598,
-0.007460514083504677,
0.025268858298659325,
0.03883342817425728,
0.019978675991296768,
0.026043975725769997,
-0.006937309168279171,
0.015124497003853321,
-0.012508472427725792,
-0.036740608513355255,
0.006302680820226669,
0.009572711773216724,
-0.02209087274968624,
-0.03912409767508507,
-0.012915409170091152,
0.014300933107733727,
0.010938857682049274,
-0.0028243374545127153,
0.0286600012332201,
0.038620270788669586,
0.0026693136896938086,
0.010270318016409874,
-0.02893129177391529,
-0.017052603885531425,
-0.017914922907948494,
-0.0465071015059948,
0.01942640356719494,
0.00011482954141683877,
-0.005261115729808807,
-0.04530566558241844,
-0.021742070093750954,
0.028795646503567696,
-0.018186213448643684,
0.04185638949275017,
0.003962792456150055,
0.019484536722302437,
0.019494226202368736,
0.021509533748030663,
-0.02842746488749981,
-0.02319541573524475,
-0.0020298410672694445,
-0.02100570686161518,
0.010774144902825356,
0.026392780244350433,
0.00013753808161709458,
-0.0026838472113013268,
-0.043600406497716904,
-0.011655841954052448,
0.003996703773736954,
-0.004946223925799131,
-0.012082156725227833,
-0.059141527861356735,
0.011597707867622375,
0.03792266547679901,
-0.003924036398530006,
0.014678803272545338,
0.03654683008790016,
-0.012566606514155865,
0.02071503736078739,
0.011898066848516464,
-0.0030011613853275776,
-0.03935663402080536,
0.025249479338526726,
-0.024454982951283455,
0.03662434220314026,
-0.012624739669263363,
0.03379515931010246,
0.014126531779766083,
0.0573975145816803,
0.02243967540562153,
0.033194441348314285,
-0.012973543256521225,
0.00929173082113266,
0.02209087274968624,
0.03520974889397621,
-0.016839446499943733,
-0.019319824874401093,
0.050615228712558746,
-0.019494226202368736,
0.010202495381236076,
-0.023563597351312637,
-0.002599068684503436,
-0.020036809146404266,
-0.02645091339945793,
0.020404990762472153,
0.0010869823163375258,
-0.015986815094947815,
0.00958240032196045,
-0.02271096780896187,
0.0027783147525042295,
0.0016313819214701653,
0.02621837705373764,
-0.016170905902981758,
-0.02513321302831173,
-0.05902526155114174,
0.048483651131391525,
-0.002645091386511922,
-0.024513117969036102,
0.02763296850025654,
-0.05100278556346893,
0.027381055057048798,
0.029628898948431015,
0.030210237950086594,
0.019310135394334793,
0.025888953357934952,
0.021780826151371002,
-0.006879175081849098,
-0.05084776133298874,
0.053948234766721725,
0.013748661614954472,
0.013254523277282715,
-0.0023205105680972338,
-0.005091558676213026,
0.001058520982041955,
0.021897092461586,
-0.021199487149715424,
0.03964730352163315,
0.03032650426030159,
0.022575320675969124,
0.0061718798242509365,
0.014620669186115265,
0.04018988460302353,
-0.03654683008790016,
-0.030675308778882027,
-0.04317409172654152,
0.04786355793476105,
0.04972384124994278,
-0.020366234704852104,
0.035093482583761215,
0.06770658493041992,
0.05034393444657326,
0.01640344224870205,
-0.01391337439417839,
-0.014727248810231686,
-0.033175066113471985,
0.012372826226055622,
-0.04239897429943085,
-0.028892535716295242,
-0.026954740285873413,
-0.0006412892835214734,
-0.049064990133047104,
-0.013719595037400723,
-0.015357032418251038,
-0.01715918257832527,
0.022497810423374176,
0.004289795644581318,
0.03898845240473747,
0.017682386562228203,
-0.036701854318380356,
0.023117903620004654,
0.036159269511699677,
-0.01053192000836134,
0.04119753837585449,
-0.018777241930365562,
-0.02160642296075821,
-0.0259083304554224,
-0.008565058000385761,
0.004355196375399828,
0.010270318016409874,
-0.019174490123987198,
-0.065691277384758,
-0.01407808717340231,
0.0005995056126266718,
0.0464295893907547,
-0.012392204254865646,
-0.011287660337984562,
0.0465071015059948,
0.010309074074029922,
-0.008443945087492466,
-0.019784895703196526,
-0.0626683160662651,
0.006041078362613916,
0.01661659963428974,
0.019775206223130226,
-0.005687430966645479,
-0.06088554486632347,
-0.035074103623628616,
0.027768613770604134,
0.006966376211494207,
-0.0009180307970382273,
-0.026877228170633316,
-0.0042607286013662815,
0.007891673594713211,
-0.021102596074342728,
0.018467195332050323,
-0.007039043586701155,
0.02290474623441696,
-0.005978100001811981,
0.02788488194346428,
0.01888382062315941,
-0.007741494569927454,
-0.004280106630176306,
0.026334645226597786,
-0.04964632913470268,
0.030229615047574043,
-0.016752244904637337,
-0.025268858298659325,
0.012818519957363605,
0.0028534044977277517,
0.019339201971888542,
-0.003073828760534525,
0.017953678965568542,
-0.008410033769905567,
-0.02271096780896187,
0.06623385846614838,
-0.03962792456150055,
-0.05297933891415596,
0.04007361829280853,
0.011403928510844707,
0.0116267753764987,
-0.01146206259727478,
-0.017934300005435944,
-0.0024731119628995657,
0.02734229899942875,
-0.014058709144592285,
-0.002213931642472744,
0.021625801920890808,
-0.029008803889155388,
0.03433774411678314,
0.016306551173329353,
0.013167322613298893,
0.011365172453224659,
0.008497234433889389,
0.017372339963912964,
0.04197265952825546,
-0.03261310234665871,
-0.004062104504555464,
-0.006884019821882248,
0.025540148839354515,
0.01420404389500618,
0.03327195346355438,
-0.02024996653199196,
-0.03489970415830612,
0.00688886409625411,
-0.006288147531449795,
0.020560013130307198,
0.010115294717252254,
0.05301809310913086,
-0.02484254352748394,
-0.031256645917892456,
-0.011190771125257015,
0.017750209197402,
0.03187674283981323,
-0.008439101278781891,
0.0408874936401844,
0.012644117698073387,
0.041081272065639496,
0.006297836545854807,
0.0007278845878317952,
0.005280493758618832,
-0.0027928482741117477,
-0.03720568120479584,
0.006782285403460264,
0.022226518020033836,
-0.037825774401426315,
0.01556050032377243,
0.025753306224942207,
-0.029376985505223274,
-0.008448789827525616,
0.0055420962162315845,
-0.043677918612957,
0.010958235710859299,
-0.004241350572556257,
0.030791575089097023,
0.0028437154833227396,
0.013855240307748318,
0.035674821585416794,
-0.01420404389500618,
0.0007290957146324217,
0.048483651131391525,
-0.002309610368683934,
0.0039337254129350185,
0.019193867221474648,
-0.04747599735856056,
0.022497810423374176,
-0.010493164882063866,
-0.003718145890161395,
-0.062164489179849625,
0.015512055717408657,
0.023292306810617447,
0.048173606395721436,
0.002203031675890088,
0.03135353699326515,
0.043794184923172,
-0.008531145751476288,
0.012101534754037857,
-0.03055904060602188,
0.027245409786701202,
-0.03146980330348015,
-0.0030786730349063873,
-0.023893022909760475,
-0.016248418018221855,
-0.00830829981714487,
0.003383876057341695,
-0.008114520460367203,
-0.002698380732908845,
-0.03924036771059036,
-0.006724151782691479,
0.029338229447603226,
-0.028834402561187744,
0.03987983986735344,
-0.011161703616380692,
0.013380479998886585,
0.049026235938072205,
0.030714064836502075,
0.01132641639560461,
-0.02428058162331581,
0.054219529032707214,
0.04980135336518288,
0.030927222222089767,
0.03772888332605362,
-0.02269158884882927,
0.03441525250673294,
0.019881784915924072,
-0.0031077400781214237,
0.016209661960601807,
0.03871716186404228,
0.01244064886122942,
-0.004481153097003698,
-0.01937795802950859,
-0.056661151349544525,
-0.022749723866581917,
-0.008705548010766506,
0.01861252821981907,
-0.017071980983018875,
0.015763970091938972,
-0.0049995132721960545,
-0.024164313450455666,
0.03666309639811516,
0.032341811805963516,
0.013051055371761322,
-0.043677918612957,
-0.0012165724765509367,
-0.0007660349365323782,
0.022827235981822014,
0.006254236213862896,
0.07824819535017014,
0.006404415238648653,
0.002708069747313857,
-0.005668052937835455,
-0.014756315387785435,
-0.041895147413015366,
0.014165287837386131,
0.027807369828224182,
-0.03143104910850525,
-0.03955041244626045,
0.015269830822944641,
0.05759129300713539,
-0.02431933768093586,
-0.004280106630176306,
-0.01614183932542801,
-0.003996703773736954,
-0.016064327210187912,
-0.03112100064754486,
-0.006869486067444086,
0.009756801649928093,
-0.00003483869295450859,
0.0018166835652664304,
0.02647029049694538,
-0.014291244558990002,
-0.02567579410970211,
0.014882272109389305,
-0.024532495066523552,
0.025268858298659325,
0.009059195406734943,
-0.03300066292285919,
0.07507020980119705,
-0.001957173692062497,
-0.03662434220314026,
-0.024997565895318985,
0.04143007472157478,
-0.03935663402080536,
0.057552535086870193,
-0.01616121642291546,
-0.0601491816341877,
0.010832278989255428,
-0.006811352446675301,
0.018757862970232964,
0.01665535569190979,
-0.05034393444657326,
-0.009572711773216724,
-0.010396274738013744,
-0.01581241376698017,
0.025772685185074806,
0.05433579534292221,
0.007029354572296143,
0.04022864252328873,
0.038077689707279205,
-0.008250165730714798,
-0.0017028381116688251,
-0.02980330027639866,
0.00930142030119896,
-0.04049993306398392,
-0.04154634475708008,
0.00622032443061471,
0.00642863754183054,
-0.013012299314141273,
-0.041701365262269974,
0.010560987517237663,
-0.03627553954720497,
0.01149112917482853,
-0.01640344224870205,
-0.04445303604006767,
-0.03767075017094612,
-0.0013031676644459367,
-0.040034860372543335,
-0.0025651571340858936,
0.0034202097449451685,
-0.01772114261984825,
-0.0382908470928669,
-0.010454408824443817,
0.06538122892379761,
-0.01527952030301094,
0.023331062868237495,
-0.014145909808576107,
-0.007615537848323584,
-0.03491907939314842,
0.04290280118584633,
-0.05108029767870903,
0.023117903620004654,
-0.04809609428048134,
-0.003456543432548642,
-0.027691103518009186,
-0.03751572594046593,
-0.0030423395801335573,
0.017905233427882195,
-0.0204437468200922,
0.021490156650543213,
-0.03059779666364193,
-0.0300358347594738,
-0.01499854028224945,
0.007814161479473114,
0.057281244546175,
0.007247356232255697,
0.010037782602012157,
-0.006530371960252523,
0.00008235632412834093,
-0.021451400592923164,
0.0020007742568850517,
-0.008269543759524822,
-0.011946511454880238,
0.03460903465747833,
-0.03652745112776756,
-0.02071503736078739,
0.04503437504172325,
-0.008356744423508644,
-0.06576879322528839,
-0.010347830131649971,
0.0205018799751997,
-0.006816196721047163,
0.04398796707391739,
0.011529885232448578,
-0.012750696390867233,
0.02536574751138687,
0.003061717376112938,
0.040306154638528824,
-0.03858151659369469,
0.014775693416595459,
0.03253559395670891,
0.05654488131403923,
-0.0023859110660851,
0.007571937050670385,
-0.0326712392270565,
-0.04239897429943085,
0.008826659992337227,
-0.002332621719688177,
-0.015957748517394066,
-0.002316877245903015,
-0.021257620304822922,
-0.005614763591438532,
0.010105605237185955,
-0.011064814403653145,
0.04832862690091133,
-0.027148520573973656,
0.032109275460243225,
-0.03681812062859535
] |
Multi-task learning for various real-world applications usually involves
tasks with logical sequential dependence. For example, in online marketing, the
cascade behavior pattern of $impression \rightarrow click \rightarrow
conversion$ is usually modeled as multiple tasks in a multi-task manner, where
the sequential dependence between tasks is simply connected with an explicitly
defined function or implicitly transferred information in current works. These
methods alleviate the data sparsity problem for long-path sequential tasks as
the positive feedback becomes sparser along with the task sequence. However,
the error accumulation and negative transfer will be a severe problem for
downstream tasks. Especially, at the beginning stage of training, the
optimization for parameters of former tasks is not converged yet, and thus the
information transferred to downstream tasks is negative. In this paper, we
propose a prior information merged model (\textbf{PIMM}), which explicitly
models the logical dependence among tasks with a novel prior information merged
(\textbf{PIM}) module for multiple sequential dependence task learning in a
curriculum manner. Specifically, the PIM randomly selects the true label
information or the prior task prediction with a soft sampling strategy to
transfer to the downstream task during the training. Following an
easy-to-difficult curriculum paradigm, we dynamically adjust the sampling
probability to ensure that the downstream task will get the effective
information along with the training. The offline experimental results on both
public and product datasets verify that PIMM outperforms state-of-the-art
baselines. Moreover, we deploy the PIMM in a large-scale FinTech platform, and
the online experiments also demonstrate the effectiveness of PIMM. | [
-0.031756605952978134,
0.03470981866121292,
-0.030069056898355484,
0.0007071406580507755,
0.004012723453342915,
0.002338358201086521,
-0.04395298659801483,
0.026406308636069298,
-0.07954493165016174,
0.02425851859152317,
0.07083871215581894,
-0.05323450639843941,
0.01161148864775896,
-0.05591924116015434,
-0.058757394552230835,
0.03189084306359291,
0.03639736771583557,
0.030625181272625923,
0.01992458663880825,
-0.02755691111087799,
0.028803395107388496,
0.008183654397726059,
0.008936339989304543,
0.01457428839057684,
0.024680405855178833,
0.01751791127026081,
0.03434545919299126,
-0.020845066756010056,
-0.053924866020679474,
0.010211589746177197,
0.0009060988668352365,
0.037624675780534744,
0.04215037450194359,
0.0016863506752997637,
-0.056724663823843,
0.012570323422551155,
0.07126060128211975,
0.07824091613292694,
-0.017306966707110405,
0.021171070635318756,
0.020346473902463913,
0.02841986157000065,
-0.00638583954423666,
-0.01614677719771862,
0.0253132376819849,
-0.014372932724654675,
-0.010125295259058475,
-0.02159295789897442,
-0.01052800565958023,
0.004971558228135109,
0.025236530229449272,
0.018850691616535187,
0.06865257024765015,
-0.020614946261048317,
-0.02698161080479622,
0.05806703120470047,
0.032504498958587646,
-0.009708201512694359,
0.036665841937065125,
0.04544876888394356,
-0.06263108551502228,
0.0600997619330883,
-0.0216121356934309,
-0.033444155007600784,
0.03511252999305725,
-0.03844927251338959,
-0.016165953129529953,
-0.02521735429763794,
0.05005117505788803,
-0.0036363808903843164,
-0.047673262655735016,
-0.046867843717336655,
0.027844561263918877,
-0.036339838057756424,
-0.04111483320593834,
0.01735490933060646,
0.060598354786634445,
0.01927257888019085,
0.09864491969347,
0.012963445857167244,
-0.026713136583566666,
0.06002305448055267,
0.01036500371992588,
0.027326790615916252,
0.07007164508104324,
-0.022839443758130074,
-0.002941225655376911,
-0.05933269485831261,
0.040999773889780045,
-0.0009870005305856466,
0.009415756911039352,
0.009991058148443699,
-0.0027710325084626675,
0.026943257078528404,
-0.03141142800450325,
-0.007440557703375816,
0.026713136583566666,
0.025907715782523155,
-0.07363850623369217,
-0.024718759581446648,
0.03432628512382507,
0.007982299663126469,
-0.007694649044424295,
-0.03601383417844772,
0.043722864240407944,
-0.00046893011312931776,
-0.009185637347400188,
0.006774167530238628,
-0.029301989823579788,
0.09511640667915344,
-0.03300309181213379,
0.010412945412099361,
0.0067597851157188416,
0.06355156749486923,
-0.03493993729352951,
0.0007658692775294185,
-0.03327156603336334,
-0.06370498239994049,
0.060444943606853485,
-0.052812617272138596,
-0.001461024396121502,
0.006472134497016668,
-0.026540545746684074,
-0.0052975621074438095,
-0.07237284630537033,
0.060444943606853485,
-0.008423362858593464,
0.0030706683173775673,
0.01696178689599037,
0.014382521621882915,
0.03116212971508503,
-0.01522629614919424,
-0.023817455396056175,
0.01975199580192566,
0.08836621046066284,
-0.018093211576342583,
0.0243352260440588,
-0.0063139270059764385,
-0.04433652013540268,
-0.05135519057512283,
0.005273591261357069,
-0.03775891289114952,
0.006419398821890354,
-0.006462546065449715,
0.05051141604781151,
-0.00379458861425519,
-0.06316803395748138,
0.07179754972457886,
-0.002090259687975049,
0.052812617272138596,
-0.04472005367279053,
0.033520862460136414,
0.00561877153813839,
0.029781406745314598,
0.04169013351202011,
0.01589748077094555,
0.012253908440470695,
-0.004623980727046728,
-0.0006202462245710194,
-0.05196884274482727,
0.061173658818006516,
0.009329462423920631,
-0.03388522192835808,
0.04330097883939743,
0.06895939260721207,
0.024296872317790985,
0.0499744676053524,
-0.0277103241533041,
-0.06136542558670044,
0.03330991789698601,
-0.05611100792884827,
0.04472005367279053,
0.018917810171842575,
0.013653806410729885,
0.049360811710357666,
0.016846725717186928,
0.04149836674332619,
0.00992393959313631,
-0.015350944362580776,
0.01473729033023119,
-0.020423179492354393,
0.01790144480764866,
0.0024689994752407074,
0.03214013949036598,
0.05300438404083252,
-0.0016851520631462336,
0.058680687099695206,
-0.004063062369823456,
-0.010547182522714138,
-0.01325109601020813,
-0.026847373694181442,
0.02216826006770134,
0.07007164508104324,
0.019982116296887398,
0.046714428812265396,
-0.025735124945640564,
-0.06286120414733887,
0.027288436889648438,
-0.010508828796446323,
-0.014123636297881603,
-0.016165953129529953,
-0.029206106439232826,
0.020365649834275246,
0.05365639179944992,
-0.02955128625035286,
0.008658277802169323,
-0.01534135639667511,
0.0010834832210093737,
0.00013326304906513542,
-0.050549767911434174,
0.023012034595012665,
-0.017239848151803017,
-0.01782473735511303,
-0.05576582998037338,
-0.021190248429775238,
-0.017153553664684296,
0.007291938178241253,
0.019982116296887398,
-0.019167106598615646,
-0.023740747943520546,
-0.0321209654211998,
0.026463838294148445,
0.026809019967913628,
-0.01048006396740675,
-0.03781644254922867,
-0.0018026093021035194,
-0.028860926628112793,
0.01992458663880825,
-0.001547319581732154,
0.019253401085734367,
0.025236530229449272,
-0.013951045460999012,
0.009693819098174572,
-0.06508570164442062,
-0.015427650883793831,
-0.013337391428649426,
0.02554335817694664,
-0.01798773929476738,
-0.016348132863640785,
0.003535703057423234,
0.037643853574991226,
-0.017556264996528625,
-0.017565852031111717,
-0.00035716593265533447,
0.05910257250070572,
0.05584253743290901,
0.03977246582508087,
0.05028129369020462,
0.010326649993658066,
0.03327156603336334,
0.007406998425722122,
-0.04046282544732094,
-0.018898632377386093,
-0.0012944269692525268,
-0.05841221287846565,
0.0602148212492466,
0.041881900280714035,
-0.049590934067964554,
0.01337574515491724,
-0.05300438404083252,
0.031142951920628548,
0.011927904561161995,
-0.03091283328831196,
0.04698290303349495,
0.014277049340307713,
-0.0327729731798172,
0.023568158969283104,
0.03363592177629471,
0.02337639033794403,
0.03772055730223656,
0.04947587475180626,
-0.0020890613086521626,
-0.00855759996920824,
-0.03992588073015213,
0.00042638182640075684,
-0.04472005367279053,
0.052237316966056824,
-0.025006409734487534,
-0.009147283621132374,
0.02579265460371971,
-0.015772832557559013,
0.03735620155930519,
0.01607006974518299,
-0.004890057258307934,
-0.007737796287983656,
0.012023787945508957,
-0.007119347807019949,
-0.007694649044424295,
-0.059064220637083054,
0.02755691111087799,
-0.0023359612096101046,
-0.028017152100801468,
0.006716637406498194,
-0.019694466143846512,
0.06324473768472672,
0.045832302421331406,
-0.045832302421331406,
0.030011527240276337,
0.028477391228079796,
-0.01123754307627678,
-0.056916430592536926,
-0.023357214406132698,
0.03825750574469566,
0.015945421531796455,
-0.03227437660098076,
0.030490946024656296,
-0.01854386366903782,
0.012953857891261578,
0.005666713230311871,
-0.05035800114274025,
-0.007886416278779507,
-0.02425851859152317,
-0.02577347867190838,
0.023587334901094437,
-0.06669654697179794,
0.02980058453977108,
0.04234214127063751,
0.003880883567035198,
-0.050549767911434174,
-0.03869856894016266,
0.028937632218003273,
0.04410639777779579,
-0.03238943964242935,
-0.0009252755553461611,
-0.00976093765348196,
0.029896467924118042,
0.01304974127560854,
0.036493249237537384,
-0.026789842173457146,
-0.010010235011577606,
-0.021343661472201347,
-0.10140636563301086,
-0.03265791013836861,
0.00547974044457078,
0.021190248429775238,
0.0015065690968185663,
-0.004914028104394674,
0.009339050389826298,
-0.04982105270028114,
-0.033060621470212936,
-0.036186423152685165,
-0.020595770329236984,
0.006438575219362974,
0.004343521315604448,
-0.019080812111496925,
-0.043339330703020096,
-0.024968057870864868,
0.027211729437112808,
0.005105794873088598,
0.0222641434520483,
0.0011176418047398329,
-0.010460887104272842,
0.02652136981487274,
0.013222331181168556,
0.038909513503313065,
-0.0728330910205841,
-0.014766055159270763,
0.0015077675925567746,
-0.03447969630360603,
-0.0018673306331038475,
-0.00948287546634674,
-0.0885196253657341,
-0.06197907775640488,
0.020998481661081314,
-0.03804656118154526,
0.02657889947295189,
-0.01975199580192566,
-0.04475840553641319,
-0.0019536258187144995,
-0.003950399346649647,
0.021075187250971794,
0.02788291499018669,
0.017930209636688232,
0.02667478285729885,
-0.03051012195646763,
0.02360651083290577,
0.04038611799478531,
-0.001709122909232974,
-0.04989776015281677,
0.04817185923457146,
-0.03917798772454262,
-0.0021202233619987965,
0.0010355415288358927,
-0.0364740751683712,
-0.023664042353630066,
-0.01264702994376421,
0.01607006974518299,
-0.03921633958816528,
-0.07766561210155487,
-0.0037178818602114916,
0.020442357286810875,
-0.026789842173457146,
-0.02577347867190838,
-0.0216121356934309,
0.003873692359775305,
-0.013404509983956814,
0.013682572171092033,
0.0004185912839602679,
0.023951692506670952,
-0.041421663016080856,
-0.04771161824464798,
0.016846725717186928,
0.007239202503114939,
0.026866549625992775,
-0.006064629647880793,
-0.0059831286780536175,
0.03653160482645035,
-0.0026104275602847338,
0.009674642235040665,
0.028400685638189316,
0.011985434219241142,
-0.04886221885681152,
-0.028208918869495392,
0.028228094801306725,
0.02723090723156929,
-0.0007880423218011856,
-0.06159554421901703,
0.0011583922896534204,
-0.026924079284071922,
0.030721064656972885,
-0.02506394125521183,
0.024469463154673576,
0.07191260904073715,
0.017700089141726494,
-0.020423179492354393,
0.008035034872591496,
0.0344029925763607,
0.0025936479214578867,
0.011899139732122421,
-0.014871527440845966,
0.10493487864732742,
-0.014948233962059021,
0.07041682302951813,
-0.00939658097922802,
0.00289328396320343,
0.008145301602780819,
0.030471768230199814,
0.049590934067964554,
-0.050089526921510696,
-0.04690619558095932,
-0.007052229717373848,
-0.019713642075657845,
-0.0014634215040132403,
0.018841102719306946,
0.018409626558423042,
-0.011832021176815033,
-0.028860926628112793,
-0.02168884128332138,
-0.0067118434235453606,
0.007546029519289732,
-0.012244319543242455,
0.03607136383652687,
-0.038756102323532104,
-0.021573781967163086,
0.025044763460755348,
0.027652794495224953,
0.01613718830049038,
-0.040999773889780045,
0.022436732426285744,
-0.01297303382307291,
-0.008615130558609962,
0.04161342978477478,
-0.015705714002251625,
-0.041575074195861816,
-0.0038089710287749767,
-0.024622876197099686,
-0.02297368086874485,
0.018045270815491676,
0.0039959438145160675,
0.013768866658210754,
0.03091283328831196,
-0.06167225167155266,
0.015408474020659924,
0.037873972207307816,
0.062132492661476135,
0.008787720464169979,
0.00471746688708663,
-0.06159554421901703,
-0.01566736027598381,
0.0007622736156918108,
-0.0018996912986040115,
-0.03969575837254524,
0.014957821927964687,
-0.013682572171092033,
0.03461393341422081,
-0.01614677719771862,
0.007498087827116251,
0.027652794495224953,
-0.007220025639981031,
-0.028323978185653687,
-0.01646319217979908,
-0.027902090921998024,
-0.0015664963284507394,
0.00546056404709816,
0.005633153952658176,
-0.04448993131518364,
-0.014085282571613789,
-0.026214541867375374,
0.039734113961458206,
-0.05664795637130737,
0.01418116595596075,
-0.009914351627230644,
0.016846725717186928,
0.03946563974022865,
0.03534264862537384,
-0.013231919147074223,
0.052237316966056824,
-0.04383792355656624,
0.012397733516991138,
0.00666390173137188,
-0.013883926905691624,
0.08054211735725403,
0.02876504324376583,
0.018035681918263435,
0.03470981866121292,
0.024450285360217094,
0.025159824639558792,
-0.03841092064976692,
-0.010000646114349365,
0.029973173514008522,
0.016923433169722557,
0.03668501600623131,
0.030951185151934624,
0.016290603205561638,
-0.07954493165016174,
-0.015187942422926426,
0.02025059051811695,
0.0081932432949543,
0.09818467497825623,
-0.04199696332216263,
-0.03946563974022865,
0.061327069997787476,
0.005403033923357725,
-0.026080304756760597,
0.0036196012515574694,
0.027748677879571915,
-0.00033888814505189657,
0.0005411423626355827,
-0.03300309181213379,
-0.030797772109508514,
-0.03214013949036598,
0.03004988096654415,
0.019713642075657845,
0.02257096953690052,
0.010384180583059788,
0.03388522192835808,
0.01506329420953989,
-0.05235237628221512,
-0.005901627708226442,
0.03981081768870354,
0.007555617950856686,
-0.018984928727149963,
0.02000129222869873,
-0.013068917207419872,
-0.047596558928489685,
-0.05035800114274025,
0.009511640295386314,
-0.03864103928208351,
0.0020698844455182552,
0.021075187250971794,
0.02700078673660755,
0.004161342978477478,
-0.01710561290383339,
0.03116212971508503,
0.015293414704501629,
0.020499886944890022,
0.02657889947295189,
0.07037846744060516,
-0.009530817158520222,
0.028132211416959763,
-0.017709678038954735,
0.034518051892519,
-0.03116212971508503,
-0.026406308636069298,
0.029263636097311974,
0.02191896177828312,
-0.011966257356107235,
-0.01830415613949299,
-0.028860926628112793,
-0.005844097584486008,
0.028132211416959763,
0.03189084306359291,
0.009828056208789349,
0.010307473130524158,
-0.023817455396056175,
-0.03662748634815216,
0.0009102937183342874,
-0.046369247138500214,
0.03196755051612854,
0.008744573220610619,
0.025505004450678825,
0.04970599338412285,
0.0009294704650528729,
-0.023165447637438774,
0.008207625709474087,
-0.04096142202615738,
-0.0078672394156456,
-0.005273591261357069,
0.07812585681676865,
-0.03003070503473282,
0.017853502184152603,
0.03703019767999649,
-0.01615636609494686,
0.026789842173457146,
-0.031526487320661545,
-0.030069056898355484,
0.016722077503800392,
0.00927193183451891,
0.041881900280714035,
-0.010307473130524158,
0.05070318281650543,
0.03653160482645035,
0.0526975579559803,
-0.019809525460004807,
0.06255438178777695,
-0.0106430659070611,
0.027518557384610176,
0.003027520840987563,
-0.01413322426378727,
-0.00409662164747715,
0.004739040974527597,
0.0053934454917907715,
0.02360651083290577,
0.0034997467882931232,
-0.021957315504550934,
0.021017657592892647,
-0.0008587563643231988,
-0.027652794495224953,
-0.02329968474805355,
-0.041651781648397446,
0.018927397206425667,
0.05135519057512283,
0.006668695714324713,
-0.042533908039331436,
0.013107270933687687,
-0.0047102756798267365,
0.0330989770591259,
-0.019713642075657845,
-0.0005006915307603776,
0.023012034595012665,
-0.011918315663933754,
-0.001414281316101551,
-0.019943762570619583,
0.06040658801794052,
-0.002639192622154951,
0.023242155089974403,
0.014813996851444244,
-0.024929704144597054,
0.028074681758880615,
0.007828885689377785,
-0.04456663876771927,
-0.007780943997204304,
0.009339050389826298,
0.03453722596168518,
-0.016367308795452118,
-0.03518923372030258,
0.006002305541187525,
-0.00850965827703476,
0.009247961454093456,
0.011669019237160683,
0.03334827348589897,
-0.010058176703751087,
0.025907715782523155,
-0.009736967273056507,
0.05572747439146042,
-0.008969899266958237,
0.009727378375828266,
0.024066751822829247,
-0.005633153952658176,
0.04567888751626015,
0.02746102772653103,
-0.05170036852359772,
-0.04042447358369827,
0.03917798772454262,
0.03499746695160866,
-0.04291744530200958,
0.006774167530238628,
0.019943762570619583,
0.008921957574784756,
-0.001262066187337041,
-0.019310932606458664,
-0.00004086284025106579,
-0.004971558228135109,
-0.029762230813503265,
0.05664795637130737,
-0.009204813279211521,
0.01639607362449169,
-0.010671830736100674,
-0.013174389488995075,
-0.0034757759422063828,
0.03630148246884346,
-0.04149836674332619,
0.03051012195646763,
-0.029301989823579788,
-0.0007478910847567022,
0.020998481661081314,
-0.01036500371992588,
0.013001799583435059,
0.021784724667668343,
0.01141013391315937,
-0.033367447555065155,
-0.0054413871839642525,
-0.03060600534081459,
0.01141013391315937,
0.01506329420953989,
0.017805561423301697,
0.004508920479565859,
-0.03946563974022865,
-0.0203081201761961,
-0.03020329400897026,
0.015926245599985123,
-0.010460887104272842,
-0.006198866758495569,
0.000978011405095458,
0.018246624618768692,
0.04134495556354523,
0.02385580912232399,
-0.009808879345655441,
-0.00610777735710144,
0.019330108538269997,
0.024143459275364876,
0.036167245358228683,
0.00457843579351902,
-0.04460499435663223,
-0.045909006148576736,
0.024277696385979652,
-0.003025123616680503,
-0.007406998425722122,
0.0038233536761254072,
-0.009650671854615211,
0.031526487320661545,
-0.028880102559924126,
-0.0008467709412798285,
0.0007011478883214295,
-0.02007799968123436,
-0.026732312515378,
-0.0354960635304451,
0.046369247138500214,
0.016089247539639473,
-0.013663395307958126,
0.061633896082639694,
-0.051431894302368164,
-0.02962799370288849,
-0.022072376683354378,
0.04161342978477478,
0.033060621470212936,
0.01100742258131504,
0.04448993131518364,
0.011189601384103298,
0.0043291389010846615,
0.021727195009589195,
-0.020595770329236984,
0.04215037450194359,
0.006865256931632757,
-0.04798009246587753,
0.003073065308853984,
-0.025332413613796234,
-0.03133472055196762,
0.006529664620757103,
-0.04579394683241844,
-0.004317153245210648,
-0.012800443917512894,
0.01326068490743637,
0.013711337000131607,
0.05568912252783775,
0.004674319643527269,
-0.053694747388362885,
-0.012694972567260265,
0.009262343868613243,
-0.05285097286105156,
0.015187942422926426,
-0.019694466143846512,
0.0554206483066082,
-0.03246614336967468,
-0.0014802011428400874,
-0.007013875991106033,
-0.009487669914960861,
0.04169013351202011,
-0.007824091240763664,
0.0010685015004128218,
0.00212861318141222,
0.03413451835513115,
0.017393263056874275,
0.02723090723156929,
-0.014075694605708122,
0.011908727698028088,
-0.008730190806090832,
-0.008442539721727371,
-0.0020219427533447742,
0.010940304957330227,
0.015293414704501629,
-0.0027542528696358204,
-0.019320519641041756,
0.013605864718556404,
0.03726032003760338,
-0.013586688786745071,
0.004408242646604776,
0.00668787257745862,
0.010738949291408062,
-0.02450781688094139,
0.07862444967031479,
-0.001032545231282711,
0.018994515761733055,
0.04153672233223915,
-0.0635899230837822,
-0.018419215455651283,
0.006496105343103409,
0.003820956451818347,
0.010058176703751087,
-0.001929654972627759,
0.01581118442118168,
0.00010419837053632364,
0.015149588696658611,
-0.003885677782818675,
0.009401374496519566,
-0.03432628512382507,
-0.03263873606920242,
0.01565777137875557,
-0.020940950140357018,
-0.0216121356934309,
0.0473664365708828,
-0.05227566882967949,
0.024239342659711838,
0.043416038155555725,
-0.03607136383652687,
0.0006585996015928686,
0.011314250528812408,
-0.014718113467097282,
0.05365639179944992,
0.006970728747546673,
0.047021254897117615,
0.004523302894085646,
-0.015130412764847279,
0.026041951030492783,
-0.03587959706783295,
0.05526723340153694,
-0.000001020634613269067,
0.034076988697052,
-0.03403863310813904,
0.08805938065052032,
-0.010499240830540657,
-0.019617758691310883,
-0.07018670439720154,
-0.042610615491867065,
0.005657125264406204,
-0.006112571340054274,
-0.03202508017420769,
0.017393263056874275,
0.032504498958587646,
-0.014094870537519455,
0.030816948041319847,
0.08890315890312195,
0.03879445418715477,
0.019167106598615646,
-0.010307473130524158,
-0.0000641220758552663,
0.02080671489238739,
0.056264422833919525,
0.030414238572120667,
0.019962940365076065,
0.0155427111312747,
0.006635136436671019,
-0.0486704520881176,
-0.02690490335226059,
0.006534458603709936,
0.011774490587413311,
-0.0027278847992420197,
-0.04368451237678528,
0.004209284670650959,
-0.031277190893888474,
0.03833421319723129,
-0.0037538381293416023,
-0.034268755465745926,
0.030951185151934624,
-0.04218873009085655,
-0.004825335927307606,
0.0031258012168109417,
-0.008423362858593464,
0.017048081383109093,
-0.022532615810632706,
0.04007929190993309,
-0.006913198623806238,
0.010815655812621117,
-0.08606500923633575,
-0.007948740385472775,
0.044681698083877563,
0.024296872317790985,
0.000660996709484607,
-0.025428296998143196,
-0.007943945936858654,
0.007526852656155825,
0.03977246582508087,
-0.01734532043337822,
-0.0273843202739954,
0.0033559217117726803,
-0.010269120335578918,
-0.013366156257689,
-0.018495922908186913,
-0.004844512790441513,
0.0054701524786651134,
-0.011343015357851982,
-0.028937632218003273,
-0.025524180382490158,
-0.025926891714334488,
0.025447474792599678,
0.0075220586732029915,
0.02441193349659443,
-0.024852996692061424,
0.0009594340226612985,
-0.05756843835115433,
0.009152078069746494,
-0.0025121469516307116,
0.009813673794269562,
-0.04360780492424965,
0.034805700182914734,
0.015466004610061646,
-0.02882257290184498,
0.0011404140386730433,
-0.0103170620277524,
0.030548475682735443,
0.01919587142765522,
0.012599088251590729,
-0.02995399758219719,
0.03766302764415741,
0.00242824899032712,
0.02105601131916046,
0.003621998243033886,
0.015159177593886852,
-0.003873692359775305,
0.03403863310813904,
-0.03695349022746086,
0.013883926905691624,
-0.0002477988600730896,
0.014114047400653362,
0.04042447358369827,
-0.04644595459103584,
-0.01622348465025425,
0.006788549944758415,
-0.0406162403523922,
-0.00872060190886259,
-0.035208411514759064,
0.020442357286810875,
-0.02145872265100479,
0.03444134443998337,
0.04625418782234192,
-0.021899785846471786,
0.023433921858668327,
0.005609183106571436,
-0.03378933668136597,
-0.014420874416828156,
0.004638363141566515,
-0.05093330144882202,
-0.002907666377723217,
-0.04030941426753998,
-0.018610982224345207,
0.02740349806845188,
-0.002521735383197665,
0.010930716060101986,
-0.024066751822829247,
0.04379957169294357,
0.03405781090259552,
-0.01605089381337166,
-0.023951692506670952,
-0.05085659399628639,
-0.07103047519922256,
0.007421380840241909,
-0.044221457093954086,
-0.023107917979359627,
0.00380657403729856,
0.018582217395305634,
-0.0041397688910365105,
-0.01936846226453781,
0.008902780711650848,
-0.0011482046684250236,
0.00397916417568922,
0.020020470023155212,
-0.01654948852956295,
-0.00987599790096283,
-0.035860419273376465,
0.00717208394780755,
0.06056000292301178,
-0.025907715782523155,
0.053848158568143845,
0.017220672219991684,
-0.03202508017420769,
-0.027422674000263214,
0.026559723541140556,
-0.04832527041435242,
-0.02914857678115368,
-0.005882451310753822,
-0.02746102772653103,
-0.018668511882424355,
0.034498874098062515,
-0.04395298659801483,
-0.048478685319423676,
0.009099341928958893,
0.006625548005104065,
0.0023898957297205925,
0.02418181300163269,
0.03189084306359291,
-0.03981081768870354,
0.01984787918627262,
-0.021823078393936157,
0.04475840553641319,
0.007191260810941458,
0.015350944362580776,
0.049936115741729736,
0.02755691111087799,
-0.03238943964242935,
0.013433274812996387,
0.02916775271296501,
0.008476098999381065,
0.013299037702381611,
0.00290287216193974,
-0.010556770488619804,
0.003240861464291811,
-0.000540243461728096,
-0.0074932933785021305,
0.025715947151184082,
-0.03348251059651375,
-0.0008647490758448839,
-0.02176554873585701,
0.016559075564146042,
-0.015255060978233814
] |
Ground-air negotiation via speech communication is a vital prerequisite for
ensuring safety and efficiency in air traffic control (ATC) operations.
However, with the increase in traffic flow, incorrect instructions caused by
human factors bring a great threat to ATC safety. Existing flight trajectory
prediction (FTP) approaches primarily rely on the flight status of historical
trajectory, leading to significant delays in the prediction of real-time
maneuvering instruction, which is not conducive to conflict detection. A major
reason is that spoken instructions and flight trajectories are presented in
different modalities in the current air traffic control (ATC) system, bringing
great challenges to considering the maneuvering instruction in the FTP tasks.
In this paper, a spoken instruction-aware FTP framework, called SIA-FTP, is
innovatively proposed to support high-maneuvering FTP tasks by incorporating
instant spoken instruction. To address the modality gap and minimize the data
requirements, a 3-stage learning paradigm is proposed to implement the SIA-FTP
framework in a progressive manner, including trajectory-based FTP pretraining,
intent-oriented instruction embedding learning, and multi-modal finetuning.
Specifically, the FTP model and the instruction embedding with maneuvering
semantics are pre-trained using volumes of well-resourced trajectory and text
data in the 1st and 2nd stages. In succession, a multi-modal fusion strategy is
proposed to incorporate the pre-trained instruction embedding into the FTP
model and integrate the two pre-trained networks into a joint model. Finally,
the joint model is finetuned using the limited trajectory-instruction data to
enhance the FTP performance within maneuvering instruction scenarios. The
experimental results demonstrated that the proposed framework presents an
impressive performance improvement in high-maneuvering scenarios. | [
-0.05677824094891548,
-0.011579519137740135,
-0.017639467492699623,
-0.057550206780433655,
-0.012303238734602928,
0.01220674254000187,
-0.025301247835159302,
0.044233761727809906,
-0.135171577334404,
0.0005301248165778816,
0.021499305963516235,
-0.0034521440975368023,
0.00016540015349164605,
-0.030357638373970985,
-0.03751764073967934,
0.015622700564563274,
0.03678427264094353,
0.00395151088014245,
-0.027771545574069023,
-0.027443459257483482,
0.02207828313112259,
-0.028118930757045746,
-0.06013629958033562,
0.011762861162424088,
-0.001160364248789847,
0.0007924733217805624,
0.01969483122229576,
0.049019962549209595,
-0.06561727076768875,
0.05396055802702904,
0.018199143931269646,
0.03230685740709305,
0.0006573789287358522,
-0.041145890951156616,
-0.020572945475578308,
-0.009900488890707493,
0.01724383421242237,
0.04168626666069031,
-0.05836077407002449,
0.04747602716088295,
-0.04546891152858734,
-0.07584584504365921,
-0.02285025082528591,
-0.008520595729351044,
-0.005423074588179588,
-0.01993607170879841,
-0.08422169834375381,
-0.002098787808790803,
-0.03176647797226906,
0.0073240455240011215,
0.011415475979447365,
-0.0257258303463459,
0.02007116563618183,
0.02506965771317482,
-0.012814667075872421,
0.0864604040980339,
0.08151981234550476,
0.001734515419229865,
0.012669923715293407,
0.0008226283243857324,
0.004108316730707884,
-0.00924914050847292,
-0.04268982633948326,
-0.05774319916963577,
-0.04600928723812103,
-0.09688197076320648,
0.00624329037964344,
-0.04361618682742119,
-0.021634399890899658,
-0.01776491105556488,
-0.046356674283742905,
-0.026690790429711342,
-0.028118930757045746,
-0.05438514053821564,
0.005818708334118128,
-0.014966527931392193,
0.08545684814453125,
0.037922922521829605,
0.041531872004270554,
-0.007280622608959675,
-0.0032615645322948694,
0.015709547325968742,
0.017427176237106323,
0.001955250045284629,
0.0388299860060215,
-0.011878656223416328,
-0.024915264919400215,
-0.06395754218101501,
0.027462758123874664,
-0.012679573148488998,
-0.03062782622873783,
0.02454857900738716,
-0.014223508536815643,
-0.008906579576432705,
-0.012978710234165192,
-0.0007484470261260867,
0.010151377879083157,
0.0026319280732423067,
-0.027597852051258087,
-0.007608708925545216,
-0.009813642129302025,
0.017842108383774757,
-0.0009275677148252726,
-0.003912912216037512,
0.02613111399114132,
-0.022213377058506012,
-0.03136119619011879,
0.024046801030635834,
0.04330740123987198,
0.12042699754238129,
-0.022541463375091553,
-0.007531512062996626,
0.03705446049571037,
0.005466497968882322,
-0.016452565789222717,
0.0138182258233428,
-0.04531451687216759,
-0.07229479402303696,
0.052956998348236084,
-0.006059948354959488,
0.03286653384566307,
0.027790844440460205,
-0.014213859103620052,
-0.022657258436083794,
-0.04905856028199196,
0.010942645370960236,
0.005123937036842108,
-0.0578203983604908,
0.004602858796715736,
-0.02580302767455578,
0.00674506975337863,
0.022232675924897194,
0.00576081033796072,
0.041338883340358734,
0.046588264405727386,
0.000010742717677203473,
-0.06083106994628906,
-0.06774018704891205,
-0.009668897837400436,
-0.015111272223293781,
-0.03192087262868881,
-0.004819974768906832,
-0.05172184854745865,
0.03690006583929062,
-0.0008196128183044493,
0.013789276592433453,
0.0012713347095996141,
0.03346480801701546,
-0.05515710636973381,
0.030338339507579803,
-0.0484795868396759,
-0.004351969342678785,
0.01571919582784176,
0.041995055973529816,
0.028099631890654564,
-0.02059224434196949,
-0.010855798609554768,
0.03800012171268463,
-0.0012104215566068888,
-0.019820276647806168,
-0.004762077238410711,
-0.02335202880203724,
-0.028022434562444687,
0.017041191458702087,
0.038675591349601746,
-0.0671612098813057,
0.056816838681697845,
0.030454134568572044,
-0.0047476026229560375,
0.04419516399502754,
-0.04512152448296547,
0.03861769661307335,
-0.024683674797415733,
-0.014696339145302773,
0.007710029371082783,
-0.014271756634116173,
0.0004857970052398741,
-0.014522646553814411,
-0.05423074588179588,
0.03842470422387123,
-0.06839635968208313,
0.023873107507824898,
-0.012226041406393051,
-0.03031904064118862,
0.03821241110563278,
0.06542427837848663,
0.01327784825116396,
0.02335202880203724,
0.031727880239486694,
-0.04160907119512558,
0.0077148545533418655,
0.04886556789278984,
0.02462577633559704,
0.012447983026504517,
-0.013470839709043503,
-0.011010192334651947,
-0.04527591913938522,
0.008829383179545403,
-0.005355527624487877,
0.017620166763663292,
-0.07669501006603241,
-0.017185935750603676,
-0.013914722017943859,
-0.011965502984821796,
-0.006889813579618931,
-0.0008165973122231662,
-0.03385079279541969,
-0.007005608640611172,
-0.015024425461888313,
-0.047205839306116104,
-0.01585429161787033,
-0.014628792181611061,
-0.023197636008262634,
0.0017417526105418801,
-0.00019088112458121032,
-0.014734937809407711,
0.015217417851090431,
-0.019115855917334557,
0.03010674938559532,
-0.05720282346010208,
0.008076714351773262,
0.03647548332810402,
0.003387009259313345,
0.0019154454348608851,
-0.08916229754686356,
0.007521862164139748,
-0.01387612335383892,
-0.006812616717070341,
-0.026864483952522278,
0.015005126595497131,
0.012544478289783001,
0.020553646609187126,
-0.014387551695108414,
-0.00044448464177548885,
0.010826850309967995,
-0.04245823621749878,
-0.0006531572435051203,
-0.026382002979516983,
-0.022251974791288376,
-0.005924853961914778,
-0.008042940869927406,
0.005046740174293518,
-0.006195042748004198,
0.007931970059871674,
0.013239249587059021,
0.027231168001890182,
0.03693866357207298,
0.07082805782556534,
-0.02582232654094696,
-0.002834569662809372,
-0.016655208542943,
-0.00666787289083004,
0.04207225143909454,
0.02146070823073387,
-0.02539774402976036,
0.10367529094219208,
0.028022434562444687,
-0.025957420468330383,
-0.002832157304510474,
-0.04959893971681595,
0.02134491316974163,
0.04207225143909454,
0.07422471791505814,
0.08306374400854111,
0.04693564772605896,
-0.031206803396344185,
0.06056088209152222,
-0.014213859103620052,
0.06113985925912857,
-0.015400759875774384,
0.005070864222943783,
0.015989385545253754,
-0.02389240637421608,
-0.037305351346731186,
-0.019067607820034027,
-0.019762378185987473,
0.03657197952270508,
0.015352511778473854,
0.0041396780870854855,
0.002416018396615982,
-0.01899041049182415,
-0.008747361600399017,
0.039524756371974945,
-0.023641517385840416,
-0.0827549621462822,
-0.05955732613801956,
-0.02943127602338791,
-0.03286653384566307,
-0.040489718317985535,
0.008602617308497429,
-0.02964356727898121,
0.023101139813661575,
-0.0793583020567894,
0.01430070586502552,
-0.005770460236817598,
0.05689403414726257,
0.010006634518504143,
-0.03560702130198479,
-0.011975152418017387,
-0.020225560292601585,
-0.04342319443821907,
0.011540920473635197,
0.05079548805952072,
0.021615101024508476,
-0.005765635520219803,
0.050525300204753876,
-0.0131813520565629,
0.05048670247197151,
-0.052300825715065,
-0.031631384044885635,
0.04662686213850975,
0.013152403756976128,
-0.015043724328279495,
0.0004725288017652929,
0.030241843312978745,
0.008149086497724056,
0.022676557302474976,
-0.026189010590314865,
-0.06635063886642456,
-0.02688378281891346,
-0.04045112058520317,
0.027887340635061264,
-0.04558470472693443,
-0.006368735339492559,
0.023332729935646057,
0.032075267285108566,
0.011531271040439606,
0.02132561430335045,
0.017967553809285164,
0.025880225002765656,
-0.006161268800497055,
0.005683613941073418,
-0.03008744865655899,
-0.03157348930835724,
-0.02037995308637619,
0.03828961029648781,
-0.023506423458456993,
-0.018556179478764534,
-0.019193051382899284,
-0.0316699855029583,
0.011598818004131317,
-0.010373318567872047,
0.022753754630684853,
0.0007834268035367131,
-0.010363669134676456,
0.0042482358403503895,
0.0002920511469710618,
0.03277003765106201,
-0.028543513268232346,
0.01743682473897934,
0.0010204451391473413,
0.03626319393515587,
0.012920812703669071,
-0.020862432196736336,
0.03539472818374634,
-0.06774018704891205,
-0.012785718776285648,
-0.02348712459206581,
0.010778602212667465,
-0.007748628035187721,
0.0435003936290741,
-0.033792894333601,
-0.052956998348236084,
0.015439358539879322,
-0.014744587242603302,
0.01593148708343506,
-0.02645920030772686,
-0.045082926750183105,
0.02441348508000374,
-0.01734032854437828,
-0.011811109259724617,
0.04257402941584587,
0.03933176398277283,
-0.0012713347095996141,
-0.04203365370631218,
-0.0012701284140348434,
-0.025629334151744843,
-0.05492551624774933,
0.032384052872657776,
0.041647668927907944,
0.04253543168306351,
0.03574211522936821,
0.0032253784593194723,
-0.03448766842484474,
-0.014107713475823402,
0.07210180163383484,
0.008747361600399017,
-0.041030094027519226,
-0.012573427520692348,
0.06696821749210358,
0.06990169733762741,
0.00214944826439023,
-0.08839032799005508,
-0.032905131578445435,
0.03402448445558548,
-0.05785899609327316,
0.035278934985399246,
-0.0898570641875267,
0.05280260369181633,
0.006122670602053404,
-0.004643869586288929,
0.026536397635936737,
0.023081840947270393,
0.007782401517033577,
-0.0014040166279301047,
0.014310355298221111,
-0.012023400515317917,
-0.014686689712107182,
0.004197575617581606,
0.02443278394639492,
-0.016481515020132065,
-0.015429709106683731,
-0.009500030428171158,
0.003401483641937375,
0.05774319916963577,
-0.023931005969643593,
-0.03948615863919258,
0.023641517385840416,
-0.018015801906585693,
-0.018170194700360298,
0.018797418102622032,
0.024066099897027016,
0.02113262191414833,
0.017890356481075287,
0.022213377058506012,
0.030454134568572044,
0.033233217895030975,
0.0028683433774858713,
0.01941499300301075,
-0.04851818457245827,
0.028833001852035522,
-0.053497377783060074,
0.01740787737071514,
-0.028447017073631287,
-0.007203425746411085,
-0.01173391193151474,
0.007352994289249182,
-0.0038453652523458004,
0.020843133330345154,
0.013470839709043503,
-0.06893673539161682,
-0.015178819186985493,
0.038868583738803864,
-0.005881430581212044,
0.029257584363222122,
-0.024509981274604797,
0.043886374682188034,
-0.022657258436083794,
-0.0030806344002485275,
-0.01597008667886257,
-0.05141306295990944,
0.07430191338062286,
-0.059788916260004044,
-0.003871901659294963,
0.012293589301407337,
-0.0065569025464355946,
0.009244315326213837,
-0.05037090554833412,
0.033870093524456024,
-0.05461673066020012,
0.02283095195889473,
0.04554610699415207,
0.04245823621749878,
-0.02005186676979065,
0.01376997772604227,
-0.016404317691922188,
-0.029682166874408722,
0.008646040223538876,
0.034603461623191833,
0.024046801030635834,
0.04770761728286743,
-0.01920270174741745,
0.07654061913490295,
0.05206923559308052,
0.02945057675242424,
0.022251974791288376,
-0.0384054034948349,
-0.03497014567255974,
-0.014503346756100655,
-0.010498763993382454,
-0.010141728445887566,
0.01327784825116396,
0.05704842880368233,
-0.004839273635298014,
-0.00849164742976427,
0.01892286352813244,
0.007242023944854736,
0.009186417795717716,
-0.008959652855992317,
0.0007170858443714678,
0.03983354568481445,
-0.05241662263870239,
0.04330740123987198,
-0.01766841486096382,
-0.016626259312033653,
-0.025146855041384697,
0.004016645718365908,
0.011019841767847538,
0.024085398763418198,
0.003850189968943596,
-0.01472528837621212,
0.0017550208140164614,
0.0291224904358387,
-0.0024497918784618378,
-0.011077739298343658,
0.05731861665844917,
0.037710633128881454,
0.013885772787034512,
0.031747180968523026,
0.015921838581562042,
-0.010228575207293034,
0.07603883743286133,
0.05859236419200897,
-0.0062722391448915005,
0.0014028104487806559,
0.026845185086131096,
0.05735721439123154,
-0.02047644928097725,
0.05002352222800255,
0.0020565707236528397,
-0.005490622017532587,
0.01210059691220522,
-0.030261142179369926,
0.008018816821277142,
0.02124841697514057,
0.04504432901740074,
0.019617633894085884,
-0.044967129826545715,
-0.006084071937948465,
-0.019222000613808632,
-0.05450093373656273,
0.015526204369962215,
-0.03935106471180916,
-0.05836077407002449,
0.023815210908651352,
0.02410469762980938,
-0.004436403047293425,
0.030898015946149826,
-0.011058440431952477,
-0.007792050950229168,
-0.04002653807401657,
-0.006084071937948465,
-0.04940594732761383,
0.008231108076870441,
-0.030029552057385445,
0.01788070611655712,
0.020843133330345154,
-0.04450394958257675,
-0.025088956579566002,
0.014320004731416702,
0.019916772842407227,
-0.012226041406393051,
-0.03084011748433113,
0.00698630977421999,
-0.010083830915391445,
-0.02335202880203724,
-0.00019781677110586315,
-0.061718836426734924,
-0.03315602242946625,
0.027655750513076782,
-0.0010554249165579677,
0.0003111995756626129,
0.03329111635684967,
0.00032054760958999395,
-0.024567879736423492,
0.025243351235985756,
0.03039623610675335,
0.017311381176114082,
0.01439720205962658,
0.0162595734000206,
0.005553344264626503,
-0.03051203116774559,
-0.02007116563618183,
0.000875097990501672,
0.017475424334406853,
-0.022116880863904953,
0.06909112632274628,
-0.025474941357970238,
0.015748145058751106,
-0.01211024634540081,
0.013741028495132923,
0.004870634991675615,
0.02391170524060726,
0.0012821904383599758,
-0.0164429172873497,
-0.01440685149282217,
-0.009162293747067451,
-0.0590941421687603,
0.00663892412558198,
-0.011917254887521267,
0.0035800011828541756,
0.016220975667238235,
0.04064410924911499,
-0.03093661367893219,
-0.01679995097219944,
0.009032025001943111,
-0.014001567848026752,
0.019000060856342316,
0.011695314198732376,
-0.06947711110115051,
0.017050841823220253,
0.05122007057070732,
-0.0013159640366211534,
0.05237802118062973,
-0.0265749953687191,
-0.009553102776408195,
0.026845185086131096,
0.02860141173005104,
0.00044840481132268906,
0.04288281872868538,
0.03350340574979782,
0.029817260801792145,
0.01856582798063755,
-0.03296303004026413,
0.014956878498196602,
-0.01887461543083191,
0.023409927263855934,
0.023390628397464752,
-0.026266207918524742,
-0.028292624279856682,
0.02464507520198822,
0.026285506784915924,
0.0531499907374382,
-0.007521862164139748,
-0.007203425746411085,
0.015555153600871563,
0.00736264418810606,
-0.0010783426696434617,
-0.012573427520692348,
-0.024181894958019257,
-0.016597310081124306,
0.03051203116774559,
-0.005698088090866804,
-0.03662987798452377,
0.04234243929386139,
0.01599903590977192,
0.022232675924897194,
0.01227428950369358,
0.004207225050777197,
0.000829262426123023,
-0.0140305170789361,
-0.04099149629473686,
-0.01781315915286541,
0.05944152921438217,
-0.002561968518421054,
0.05064109340310097,
-0.0074205417186021805,
-0.015120921656489372,
0.034410469233989716,
0.05770460143685341,
0.008274530991911888,
0.005562993697822094,
0.014493697322905064,
0.03359990194439888,
0.0035510524176061153,
-0.024394186213612556,
0.045507509261369705,
0.007319220807403326,
0.033136721700429916,
0.0020348592661321163,
0.04488993436098099,
-0.006899463012814522,
0.003058922942727804,
-0.02165370061993599,
0.04427235946059227,
0.01593148708343506,
0.021402809768915176,
-0.0005433930200524628,
-0.015574452467262745,
0.02838912047445774,
-0.017359629273414612,
-0.010836499743163586,
-0.03271213918924332,
0.03772993013262749,
-0.0015089560765773058,
-0.006383209489285946,
0.017301730811595917,
0.08198299258947372,
0.010402267798781395,
-0.06442072242498398,
0.01653941348195076,
-0.01632712222635746,
-0.056276459246873856,
0.015091972425580025,
0.011550569906830788,
-0.0035872384905815125,
-0.02528194896876812,
-0.001182075822725892,
0.0036161872558295727,
0.013200650922954082,
-0.024085398763418198,
0.027829444035887718,
0.0291224904358387,
-0.00942283309996128,
0.0002998914278578013,
-0.017378928139805794,
0.004448465071618557,
0.008742536418139935,
0.05013931542634964,
0.032384052872657776,
-0.041995055973529816,
0.009162293747067451,
-0.030376937240362167,
-0.013094505295157433,
0.03128400072455406,
-0.0020589830819517374,
0.0032253784593194723,
-0.041454676538705826,
0.012833966873586178,
-0.047437429428100586,
-0.017050841823220253,
-0.03863699361681938,
0.012341837398707867,
-0.005982751492410898,
0.017311381176114082,
0.00983776617795229,
0.04543031007051468,
-0.020746637135744095,
-0.02964356727898121,
-0.018343888223171234,
-0.010720704682171345,
0.015294614247977734,
-0.0017694951966404915,
-0.07592304795980453,
-0.03466136008501053,
0.011618116870522499,
-0.01564200036227703,
0.044658344238996506,
-0.036340389400720596,
0.0020119412802159786,
0.055311501026153564,
-0.03807731717824936,
-0.005620891228318214,
-0.0018165369983762503,
-0.008168385364115238,
-0.03084011748433113,
-0.02327483333647251,
0.004974368028342724,
0.0025257824454456568,
-0.03751764073967934,
0.06071527674794197,
-0.03358060494065285,
0.004366443492472172,
-0.007357819005846977,
0.0015970086678862572,
0.044735539704561234,
0.025996020063757896,
0.029083890840411186,
0.018276341259479523,
-0.010961944237351418,
0.035356130450963974,
-0.04292141646146774,
0.029064591974020004,
-0.035356130450963974,
-0.022251974791288376,
0.04110729321837425,
0.0003760328108910471,
-0.04257402941584587,
0.0087666604667902,
-0.013779627159237862,
0.0320945642888546,
0.07623182982206345,
-0.0026729388628154993,
0.020244859158992767,
0.05129726976156235,
-0.061911825090646744,
0.0007309571374207735,
0.0028369820211082697,
7.067577456609797e-8,
-0.011907605454325676,
0.002286955015733838,
0.01327784825116396,
0.03581931069493294,
-0.05114287510514259,
0.000981243560090661,
-0.011637416668236256,
0.026420602574944496,
-0.004600446205586195,
-0.04311440885066986,
-0.024509981274604797,
-0.005490622017532587,
0.01425245776772499,
-0.005162535235285759,
0.026652192696928978,
-0.02325553260743618,
-0.013827875256538391,
-0.00072010129224509,
-0.030145347118377686,
-0.01173391193151474,
0.01188830565661192,
0.03757553920149803,
0.017562270164489746,
-0.015140220522880554,
0.0066823470406234264,
0.06469091027975082,
-0.0160183347761631,
-0.0010554249165579677,
0.005722212139517069,
-0.03402448445558548,
-0.013026958331465721,
0.020611543208360672,
-0.011222483590245247,
-0.017205234616994858,
0.031129606068134308,
-0.0013823050539940596,
0.012081298045814037,
-0.019405342638492584,
-0.033561304211616516,
-0.008530245162546635,
0.0009444545139558613,
0.003230203175917268,
-0.02176949568092823,
0.018218442797660828,
0.010749652981758118,
0.011560219340026379,
0.01387612335383892,
-0.005287980195134878,
0.011367227882146835,
-0.02690308168530464,
-0.049676135182380676,
0.023525722324848175,
0.020302755758166313,
0.0018237741896882653,
-0.02412399649620056,
0.03165068477392197,
-0.017118388786911964,
0.021364212036132812,
0.0024992460384964943,
0.06422773003578186,
-0.028871599584817886,
-0.0028393943794071674,
0.01792895421385765,
-0.03608949854969978,
-0.017234183847904205,
-0.035375431180000305,
0.015632349997758865,
-0.007811350282281637,
0.02846631594002247,
-0.07495808601379395,
0.024915264919400215,
-0.024162596091628075,
-0.013586635701358318,
-0.0015270489966496825,
-0.025436343625187874,
-0.006441107485443354,
-0.0160183347761631,
0.012650623917579651,
-0.045082926750183105,
0.00672577042132616,
-0.024876665323972702,
0.02516615390777588,
0.025320546701550484,
0.07719679176807404,
0.020881732925772667,
-0.004677643068134785,
-0.005784934386610985,
0.009080272167921066,
0.042844220995903015,
0.04527591913938522,
-0.034294676035642624,
0.025243351235985756,
0.04940594732761383,
0.00040980640915222466,
0.027134671807289124,
0.009456606581807137,
-0.003584825899451971,
-0.02080453559756279,
-0.052107833325862885,
-0.04029672592878342,
-0.01983957551419735,
-0.026478499174118042,
-0.02219407819211483,
-0.024374887347221375,
0.0034666184801608324,
0.007160002365708351,
-0.006754719186574221,
0.002229057252407074,
0.01639466919004917,
-0.0012689222348853946,
-0.024490682408213615,
0.008954827673733234,
-0.02773294784128666,
0.02945057675242424,
0.0033435861114412546,
0.018218442797660828,
-0.01221639197319746,
0.011647066101431847,
-0.03854049742221832,
0.0004975574556738138,
-0.04797780513763428,
0.026227610185742378,
0.07854773849248886,
-0.025339847430586815,
-0.031727880239486694,
0.04334599897265434,
0.01595078781247139,
-0.04840238764882088,
-0.016056932508945465,
-0.02889089845120907,
0.026439901441335678,
-0.003917737398296595,
-0.03701586276292801,
-0.006127495318651199,
-0.024838067591190338,
0.03192087262868881,
-0.00925878994166851,
-0.0008232314139604568,
-0.0038526023272424936,
0.004617332946509123,
-0.03383149206638336,
-0.04110729321837425,
0.02914178930222988,
0.0076714311726391315,
-0.008380676619708538,
-0.006576201878488064,
0.029797961935400963,
-0.03305952623486519,
-0.003642723662778735,
-0.019048308953642845,
0.016828900203108788,
-0.013943670317530632,
-0.01833423785865307,
-0.01948253996670246,
-0.007309571374207735,
-0.02379591017961502,
-0.0028273325879126787,
0.04149327427148819,
-0.017803510650992393,
0.01630782149732113,
-0.02335202880203724,
-0.035568419843912125,
0.04929015040397644,
0.00019977685587946326,
0.007213075179606676,
0.024490682408213615,
-0.03608949854969978,
-0.031322598457336426,
-0.02655569650232792,
0.02379591017961502,
0.01835353672504425,
-0.04149327427148819,
0.0017321030609309673,
0.028620710596442223,
0.018980761989951134,
0.014705988578498363,
-0.001872022170573473,
0.035587720572948456,
0.023506423458456993,
-0.012988360598683357,
0.03661057725548744,
-0.04288281872868538,
-0.031515590846538544,
-0.019279899075627327,
-0.038791388273239136,
-0.031226102262735367,
0.030955912545323372,
-0.022908147424459457,
-0.059055544435977936,
-0.026401301845908165,
0.0409528985619545,
-0.018392136320471764,
0.027925940230488777,
-0.00471141654998064,
-0.01216814387589693,
0.009099571965634823,
0.048904165625572205,
-0.03444906696677208,
-0.04184066131711006,
-0.04110729321837425,
0.03296303004026413,
0.0055147456005215645,
-0.03948615863919258,
0.016558712348341942,
-0.022232675924897194,
-0.00653277849778533,
0.019762378185987473,
0.017166636884212494,
-0.04446535184979439,
-0.023448524996638298,
-0.021422110497951508,
0.02327483333647251,
-0.01285326573997736,
0.03927386924624443,
-0.0014631204539909959,
-0.040721308439970016,
-0.06434352695941925,
0.010768952779471874,
-0.049560341984033585,
-0.05191484093666077,
0.06009770184755325,
-0.02452928014099598,
-0.015709547325968742,
-0.02134491316974163,
-0.0012628912227228284,
0.007888547144830227,
-0.0058428323827683926,
0.02900669351220131,
-0.028408419340848923,
0.0077148545533418655,
0.006793317850679159,
-0.03894578292965889,
0.0003491948591545224,
-0.025050358846783638,
0.06596466153860092,
-0.03145769238471985,
0.03607020154595375,
0.0230239424854517,
0.027018876746296883,
0.012457632459700108,
0.056160666048526764,
-0.025339847430586815,
-0.003864664351567626,
-0.04014233127236366,
0.03778782859444618,
0.01595078781247139,
0.003312224755063653,
-0.022444967180490494,
-0.026053916662931442,
0.03394728899002075,
-0.026497798040509224,
0.003621011972427368,
-0.0010602496331557631,
0.03481575474143028,
0.020013269037008286
] |
In recent years, neural models have been repeatedly touted to exhibit
state-of-the-art performance in recommendation. Nevertheless, multiple recent
studies have revealed that the reported state-of-the-art results of many neural
recommendation models cannot be reliably replicated. A primary reason is that
existing evaluations are performed under various inconsistent protocols.
Correspondingly, these replicability issues make it difficult to understand how
much benefit we can actually gain from these neural models. It then becomes
clear that a fair and comprehensive performance comparison between traditional
and neural models is needed.
Motivated by these issues, we perform a large-scale, systematic study to
compare recent neural recommendation models against traditional ones in top-n
recommendation from implicit data. We propose a set of evaluation strategies
for measuring memorization performance, generalization performance, and
subgroup-specific performance of recommendation models. We conduct extensive
experiments with 13 popular recommendation models (including two neural models
and 11 traditional ones as baselines) on nine commonly used datasets. Our
experiments demonstrate that even with extensive hyper-parameter searches,
neural models do not dominate traditional models in all aspects, e.g., they
fare worse in terms of average HitRate. We further find that there are areas
where neural models seem to outperform non-neural models, for example, in
recommendation diversity and robustness between different subgroups of users
and items. Our work illuminates the relative advantages and disadvantages of
neural models in recommendation and is therefore an important step towards
building better recommender systems. | [
0.0035634012892842293,
-0.04246038571000099,
-0.04205981642007828,
0.014670864678919315,
0.01916058361530304,
0.00729370629414916,
-0.038221023976802826,
0.0019652950577437878,
-0.015572146512567997,
0.03788721561431885,
0.01420353353023529,
-0.0182426106184721,
0.0023303977213799953,
-0.028607351705431938,
0.002051876625046134,
0.046566225588321686,
0.03678565099835396,
-0.007527371868491173,
-0.03212902694940567,
-0.03409849479794502,
0.022148165851831436,
-0.020111937075853348,
0.03214571624994278,
0.0017191115766763687,
0.008203333243727684,
0.05327576771378517,
-0.008053120225667953,
-0.008295130915939808,
-0.06843065470457077,
0.006813857238739729,
0.008436999283730984,
0.020128626376390457,
-0.002851972822099924,
-0.02810663916170597,
-0.03401504456996918,
-0.020445745438337326,
0.041926294565200806,
-0.002180184004828334,
-0.015630563721060753,
0.05935107544064522,
0.045631565153598785,
0.030843866989016533,
-0.007710966747254133,
-0.002720535732805729,
0.020629338920116425,
-0.043962523341178894,
0.0063340081833302975,
-0.03675226867198944,
0.02318297140300274,
-0.02874087542295456,
0.03551717847585678,
-0.003029308281838894,
0.01421187911182642,
-0.025703221559524536,
-0.02458496391773224,
0.030626891180872917,
-0.005653874482959509,
-0.03319721296429634,
0.03878849744796753,
0.026037029922008514,
-0.006071134470403194,
0.03848807141184807,
-0.050104591995477676,
-0.0018651526188477874,
-0.03785383701324463,
-0.01760837621986866,
-0.0031941260676831007,
-0.03057681955397129,
0.05834965035319328,
-0.05965150147676468,
-0.0731707289814949,
0.04463014006614685,
0.0364852212369442,
-0.002749744104221463,
-0.04459675773978233,
-0.057848937809467316,
0.027872974053025246,
0.06165435165166855,
0.011708318255841732,
0.036518603563308716,
0.024768559262156487,
0.01944432035088539,
-0.0034528272226452827,
0.023984109982848167,
0.06145406514406204,
0.043027859181165695,
0.006004372611641884,
-0.034983087331056595,
-0.01789211295545101,
-0.0325629785656929,
-0.01081538200378418,
0.025870125740766525,
0.008065637201070786,
-0.021530620753765106,
-0.011933638714253902,
0.0034403095487505198,
0.00407454464584589,
0.010072658769786358,
-0.060319118201732635,
0.04927007108926773,
0.02241521142423153,
0.013018514961004257,
0.02361692115664482,
0.016548534855246544,
0.027238739654421806,
-0.059551361948251724,
-0.02548624575138092,
0.05571256950497627,
-0.03121105581521988,
0.1496795415878296,
0.01543862372636795,
0.003870087442919612,
-0.049637261778116226,
-0.03752002865076065,
-0.029108064249157906,
0.021881118416786194,
-0.0694320797920227,
-0.054777905344963074,
0.053542815148830414,
-0.05067206546664238,
-0.03535027429461479,
0.09780576825141907,
-0.004631586838513613,
0.01628148928284645,
-0.021847737953066826,
0.0815826952457428,
-0.011699972674250603,
-0.009112960658967495,
0.05391000583767891,
0.017241187393665314,
-0.0011182570597156882,
0.060185596346855164,
-0.021096671000123024,
-0.04459675773978233,
-0.018426205962896347,
-0.013252181001007557,
0.022765710949897766,
0.012960098683834076,
-0.03858821466565132,
-0.05514509230852127,
-0.05958474054932594,
-0.02578667365014553,
-0.02580336481332779,
-0.015672288835048676,
-0.00309189734980464,
-0.011566449888050556,
-0.0031544864177703857,
0.07837813347578049,
-0.020612647756934166,
-0.006509257480502129,
-0.01931079663336277,
0.015730705112218857,
-0.03765355050563812,
0.018726633861660957,
-0.011341129429638386,
-0.021580692380666733,
-0.02471848763525486,
0.00958029180765152,
-0.06195477768778801,
-0.012409315444529057,
0.03738650307059288,
-0.033614471554756165,
0.013811308890581131,
0.07737670838832855,
0.00036953596281819046,
0.07323749363422394,
0.0634235367178917,
0.015296755358576775,
-0.09780576825141907,
0.04122529551386833,
-0.04693341627717018,
0.0426606722176075,
-0.06272253394126892,
0.01744147203862667,
0.024134323000907898,
0.04339504987001419,
0.053809862583875656,
-0.029625466093420982,
-0.035450417548418045,
0.012350899167358875,
-0.024952152743935585,
-0.019177274778485298,
0.02303275652229786,
-0.016723783686757088,
0.02006186544895172,
0.02561976946890354,
0.0413588210940361,
-0.001126602292060852,
0.02623731456696987,
-0.009054544381797314,
-0.005261649843305349,
0.0321790985763073,
0.007114284671843052,
-0.0216140728443861,
-0.006709542125463486,
-0.015822501853108406,
-0.022782400250434875,
-0.04760103300213814,
-0.0012048385106027126,
0.01476266235113144,
-0.007873698137700558,
-0.04816850647330284,
0.060652926564216614,
-0.022448593750596046,
0.030493367463350296,
-0.006475876551121473,
0.018726633861660957,
-0.0035091573372483253,
-0.013035205192863941,
-0.024351298809051514,
-0.03444899246096611,
0.0008027041330933571,
-0.06298958510160446,
-0.021597381681203842,
-0.0023220523726195097,
-0.0029375110752880573,
-0.026070410385727882,
0.019661296159029007,
-0.0087958425283432,
-0.024017490446567535,
-0.0364852212369442,
0.014637484215199947,
0.061854638159275055,
-0.013193763792514801,
0.006050271447747946,
0.011841841042041779,
0.00951352994889021,
0.0062547288835048676,
0.009697124361991882,
-0.04035739600658417,
0.007335432339459658,
-0.03471603989601135,
0.013335632160305977,
-0.021063288673758507,
0.0013613110641017556,
-0.012784848921000957,
-0.009213102981448174,
-0.03578422591090202,
-0.05000444874167442,
0.03346426039934158,
-0.02086300402879715,
0.01275146845728159,
0.02793973498046398,
0.02393403835594654,
0.041292060166597366,
-0.015588836744427681,
-0.05097249150276184,
0.022131474688649178,
0.04189291223883629,
-0.013928142376244068,
-0.030476678162813187,
-0.037119459360837936,
-0.024017490446567535,
0.05911741033196449,
-0.020762862637639046,
0.04606551304459572,
0.027856284752488136,
0.002192701678723097,
0.034983087331056595,
-0.014236913993954659,
0.017808660864830017,
0.04676651209592819,
-0.0013571385061368346,
0.057715415954589844,
-0.0389220230281353,
0.04105839505791664,
0.03521675243973732,
0.027906354516744614,
0.009663743898272514,
0.04342843219637871,
0.02842375822365284,
-0.034816183149814606,
-0.034048423171043396,
-0.013869725167751312,
-0.03665212541818619,
-0.036051273345947266,
0.046699751168489456,
-0.056446947157382965,
0.016097893938422203,
0.032512906938791275,
0.0134274298325181,
0.0016252280911430717,
-0.04032401368021965,
-0.012893336825072765,
-0.01932748779654503,
-0.07957984507083893,
-0.010381431318819523,
-0.037753693759441376,
0.013160383328795433,
0.04933683201670647,
-0.013293907046318054,
-0.030159559100866318,
-0.07604148238897324,
-0.004602378699928522,
0.052274346351623535,
-0.01577243208885193,
0.014695900492370129,
0.035917747765779495,
0.06412453204393387,
-0.010331359691917896,
-0.019894961267709732,
0.004135047551244497,
0.01638997718691826,
0.012668016366660595,
-0.044863805174827576,
-0.043628714978694916,
0.009763886220753193,
0.07357130199670792,
0.010439847595989704,
-0.01638997718691826,
0.0034465682692825794,
0.007389676291495562,
0.004952877294272184,
-0.026955002918839455,
0.02657112292945385,
0.07430567592382431,
0.029408492147922516,
-0.025386104360222816,
-0.021380407735705376,
-0.01929410733282566,
0.0009346625884063542,
0.03244614601135254,
-0.08679009974002838,
-0.0034444821067154408,
-0.03171176835894585,
-0.021814357489347458,
0.003071034327149391,
0.05778217688202858,
-0.01543862372636795,
-0.019277416169643402,
-0.03025970235466957,
-0.03678565099835396,
-0.031277816742658615,
-0.009171376936137676,
0.010773655958473682,
0.0054452442564070225,
-0.0025098195765167475,
-0.012918372638523579,
-0.01638997718691826,
-0.045931991189718246,
-0.012150613591074944,
0.009780576452612877,
-0.03202888369560242,
0.013243835419416428,
0.0014697987353429198,
-0.02163076400756836,
-0.04740074649453163,
-0.02485201135277748,
0.023900657892227173,
-0.03645184263586998,
0.0009450940997339785,
-0.03875511884689331,
0.004249793943017721,
-0.007485646288841963,
0.0789789929986,
-0.037753693759441376,
-0.0014458062360063195,
0.048135124146938324,
0.003709442215040326,
-0.003319303970783949,
0.008887640200555325,
-0.061086878180503845,
-0.06929855793714523,
0.0019371300004422665,
-0.03568408265709877,
-0.05080558732151985,
-0.041759390383958817,
0.0325629785656929,
-0.004944532178342342,
0.021230192855000496,
-0.019260726869106293,
0.0001858111354522407,
-0.007510681636631489,
0.010222872719168663,
-0.012567874044179916,
0.011074082925915718,
0.019193964079022408,
-0.00019663381681311876,
-0.02999265491962433,
0.01437043771147728,
0.014545686542987823,
-0.012609600089490414,
0.01964460499584675,
0.013869725167751312,
-0.006959898397326469,
0.01715773530304432,
0.07090083509683609,
-0.005766534712165594,
-0.01611458510160446,
0.041492342948913574,
0.0054702796041965485,
-0.06208830326795578,
-0.019811509177088737,
-0.04306124150753021,
-0.018776703625917435,
-0.0023804688826203346,
-0.010848762467503548,
0.02979237027466297,
-0.0032775779254734516,
-0.03029308281838894,
-0.05424381047487259,
-0.005841641221195459,
-0.07510681450366974,
-0.022515354678034782,
-0.028523899614810944,
0.01931079663336277,
-0.008862604387104511,
-0.013410739600658417,
0.017207806929945946,
0.010047622956335545,
0.00443547498434782,
0.008595557883381844,
-0.039022162556648254,
-0.0033276493195444345,
0.023984109982848167,
0.02438467927277088,
-0.033731307834386826,
-0.017207806929945946,
0.027839593589305878,
-0.047801315784454346,
-0.02625400573015213,
0.020512506365776062,
0.08679009974002838,
-0.05664722993969917,
-0.05250801146030426,
0.028390375897288322,
-0.0417260080575943,
-0.04763441160321236,
0.0010118557838723063,
-0.015330135822296143,
-0.00048323936061933637,
0.011800115928053856,
0.046900033950805664,
-0.01381965447217226,
0.0007698448607698083,
-0.0182426106184721,
-0.020312221720814705,
-0.009071234613656998,
-0.046098895370960236,
-0.0652928575873375,
0.00366563000716269,
-0.011983710341155529,
0.025235891342163086,
0.04806836321949959,
-0.007097593974322081,
-0.0071518379263579845,
0.0029062165413051844,
-0.02777283266186714,
-0.041926294565200806,
-0.025870125740766525,
-0.03541703522205353,
-0.005165679845958948,
-0.0568808950483799,
-0.07383834570646286,
0.07570767402648926,
-0.00710593955591321,
0.01581415720283985,
-0.014028284698724747,
-0.009455113671720028,
-0.06242211163043976,
0.0006686592823825777,
0.03925583139061928,
-0.011090773157775402,
-0.009163031354546547,
-0.012851610779762268,
0.05344267189502716,
-0.00029781938064843416,
-0.02071279101073742,
-0.009697124361991882,
0.000737507245503366,
0.00467331288382411,
0.0023178798146545887,
-0.018025636672973633,
-0.005324238911271095,
0.013402394019067287,
-0.003717787330970168,
0.0028415413107722998,
-0.06298958510160446,
0.048435550183057785,
-0.03348094969987869,
0.023249732330441475,
0.07751023769378662,
0.04185953363776207,
0.0039222449995577335,
0.02009524591267109,
-0.009496839717030525,
0.03905554488301277,
0.007915424183011055,
-0.02627069503068924,
-0.07417215406894684,
-0.05374310165643692,
0.011791770346462727,
0.0008376496261917055,
-0.01682392694056034,
-0.05841641500592232,
-0.05330915004014969,
0.013936487026512623,
-0.034181948751211166,
0.035750843584537506,
-0.012083852663636208,
0.026387527585029602,
-0.0065635014325380325,
-0.0054702796041965485,
0.04402928426861763,
0.013252181001007557,
0.03875511884689331,
-0.016498463228344917,
0.0019913737196475267,
-0.015497040003538132,
0.01003927830606699,
0.02705514430999756,
-0.014670864678919315,
0.023233041167259216,
-0.0045564803294837475,
0.008516278117895126,
0.006997451651841402,
-0.03895540162920952,
-0.011549759656190872,
0.03828778490424156,
-0.005478625185787678,
-0.020629338920116425,
0.024217775091528893,
-0.031160984188318253,
0.04666636884212494,
-0.0537097193300724,
0.007673413027077913,
-0.00698910653591156,
-0.00022310375061351806,
0.05017135292291641,
-0.006576018873602152,
-0.012250755913555622,
0.01820923015475273,
-0.018476277589797974,
-0.04479704424738884,
-0.0017305862857028842,
-0.03521675243973732,
0.06689513474702835,
-0.007727656979113817,
-0.00981395784765482,
0.010172801092267036,
-0.013018514961004257,
0.040090348571538925,
0.015930989757180214,
0.03102746047079563,
-0.006442495621740818,
0.017024211585521698,
0.03227924183011055,
-0.07817785441875458,
-0.010506609454751015,
0.00821585115045309,
0.02840706706047058,
0.0006410158239305019,
0.013010169379413128,
-0.04119191691279411,
-0.021747596561908722,
-0.027605928480625153,
-0.017491543665528297,
-0.014278640039265156,
0.03658536449074745,
-0.028390375897288322,
-0.013853034935891628,
0.027706069871783257,
-0.05624666064977646,
-0.00796132255345583,
0.027305500581860542,
-0.036218177527189255,
0.005007121246308088,
0.054744523018598557,
0.023049447685480118,
-0.0030188767705112696,
-0.02935842052102089,
0.019995104521512985,
-0.01080703642219305,
-0.025719912722706795,
-0.01979481801390648,
0.04049091786146164,
-0.03982330486178398,
-0.014245259575545788,
-0.03171176835894585,
0.011783424764871597,
0.03341418877243996,
0.01482942420989275,
-0.0013164555421099067,
0.054444096982479095,
0.001985114999115467,
0.019728057086467743,
-0.03772031143307686,
-0.016423357650637627,
0.03972316160798073,
-0.030510058626532555,
-0.0011672851396724582,
0.06148744747042656,
-0.019360868260264397,
-0.009697124361991882,
-0.05310886353254318,
-0.019511081278324127,
0.014503960497677326,
0.017641756683588028,
0.0463993214070797,
-0.020345602184534073,
0.015171577222645283,
0.009655398316681385,
0.027138596400618553,
0.03818764537572861,
0.02071279101073742,
0.022114785388112068,
0.005741498898714781,
0.04249376803636551,
0.026521051302552223,
0.0445299968123436,
-0.01235924381762743,
0.006705369800329208,
0.03346426039934158,
-0.034682657569646835,
0.01614796556532383,
-0.01598106138408184,
0.04122529551386833,
-0.003083552001044154,
-0.037119459360837936,
0.04372885823249817,
0.004452165216207504,
-0.01714104413986206,
0.09166369587182999,
0.03504984825849533,
-0.011691628023982048,
0.06799670308828354,
0.016473429277539253,
-0.023700373247265816,
0.009847338311374187,
0.0023762963246554136,
-0.06395762413740158,
0.007644204888492823,
-0.020312221720814705,
0.0008298259926959872,
-0.004322814755141735,
-0.011800115928053856,
-0.0028728358447551727,
0.023049447685480118,
0.009438423439860344,
0.016097893938422203,
0.002301189349964261,
0.019811509177088737,
-0.014704246073961258,
0.06182125583291054,
-0.00407454464584589,
0.057381607592105865,
-0.02905799262225628,
-0.00989740900695324,
0.032946858555078506,
-0.0027372261974960566,
-0.013394049368798733,
0.03678565099835396,
-0.011416235938668251,
0.04606551304459572,
-0.006079479586333036,
-0.021263575181365013,
0.031895361840724945,
0.013185419142246246,
0.04189291223883629,
0.026804788038134575,
0.008662319742143154,
0.032496217638254166,
0.02952532470226288,
0.02209809422492981,
0.017875421792268753,
-0.004143392667174339,
-0.008274267427623272,
0.008073982782661915,
0.053542815148830414,
0.06459186226129532,
-0.008270095102488995,
-0.04292771965265274,
-0.043328288942575455,
-0.009505185298621655,
0.034816183149814606,
-0.04973740503191948,
0.01974474824965,
0.04633256047964096,
0.023683682084083557,
-0.01962791569530964,
-0.03306369110941887,
0.02561976946890354,
-0.007014142349362373,
-0.02952532470226288,
-0.005528696347028017,
-0.0014541514683514833,
0.0417260080575943,
0.02021207846701145,
-0.011658246628940105,
0.004489718470722437,
0.0167488195002079,
-0.049036405980587006,
-0.002219823654741049,
0.0009174506412819028,
-0.005737326107919216,
-0.007573270704597235,
-0.011074082925915718,
-0.01714104413986206,
0.0022949306294322014,
0.024968843907117844,
0.008829223923385143,
0.02453489415347576,
-0.028223473578691483,
0.024468131363391876,
-0.008954402059316635,
-0.01236758939921856,
0.019728057086467743,
-0.0182426106184721,
-0.0445299968123436,
0.01901037059724331,
0.025068987160921097,
-0.002351260744035244,
0.01901037059724331,
0.030810484662652016,
-0.03862159326672554,
0.050905730575323105,
0.017842041328549385,
0.007118456996977329,
-0.0010009026154875755,
0.03444899246096611,
0.005662219598889351,
-0.00384296546690166,
0.02438467927277088,
-0.02670464664697647,
-0.05748175084590912,
-0.001375915133394301,
-0.00517402496188879,
0.01251780241727829,
-0.042727433145046234,
0.003605127101764083,
0.012158959172666073,
-0.02097983844578266,
-0.03289678692817688,
-0.003373547922819853,
-0.030660271644592285,
0.02194788120687008,
0.005203233566135168,
0.030092798173427582,
-0.010164455510675907,
-0.06225520744919777,
-0.0010128988651558757,
-0.039923444390296936,
0.022298378869891167,
0.021730905398726463,
-0.0029938411898911,
0.030026037245988846,
-0.029625466093420982,
0.030810484662652016,
0.006742923054844141,
-0.005027984268963337,
0.010289633646607399,
0.0000828000484034419,
0.04356195405125618,
-0.040691204369068146,
-0.07003293186426163,
0.026788098737597466,
0.015797467902302742,
0.002918734448030591,
-0.004677485674619675,
-0.020913075655698776,
-0.001242391881532967,
0.022982686758041382,
0.01259290985763073,
0.025986958295106888,
0.045631565153598785,
-0.016949104145169258,
-0.029158135876059532,
0.007619169540703297,
-0.005332584027200937,
-0.04773455485701561,
0.0068889642134308815,
-0.0016116671031340957,
0.04259391129016876,
-0.03952287510037422,
0.033314045518636703,
-0.011708318255841732,
-0.0068722739815711975,
0.0011714576976373792,
-0.0060252356342971325,
0.05958474054932594,
-0.004585688468068838,
-0.0010441933991387486,
0.04449661821126938,
0.022815782576799393,
-0.007406366523355246,
0.013928142376244068,
-0.038821879774332047,
-0.0463993214070797,
0.015630563721060753,
-0.0004000481276307255,
-0.027889665216207504,
-0.04185953363776207,
-0.025920197367668152,
0.01622307300567627,
0.03488294407725334,
0.02314959093928337,
-0.022732330486178398,
-0.013218799605965614,
-0.009179722517728806,
-0.02440137043595314,
0.015839193016290665,
-0.032546285539865494,
-0.00006865232717245817,
0.005240786820650101,
-0.02380051650106907,
0.02393403835594654,
-0.0018046499462798238,
0.032045576721429825,
-0.0004928885027766228,
0.05357619747519493,
0.009496839717030525,
-0.012501112185418606,
0.0034841217566281557,
-0.02269895002245903,
0.021063288673758507,
-0.008357719518244267,
-0.010114384815096855,
0.03735312446951866,
-0.009071234613656998,
-0.019110511988401413,
-0.03802074119448662,
-0.04706693813204765,
-0.0013686130987480283,
-0.05391000583767891,
-0.040056969970464706,
-0.03738650307059288,
-0.017424780875444412,
0.02857397124171257,
0.05945121869444847,
-0.0042289309203624725,
-0.015747396275401115,
0.04246038571000099,
-0.035917747765779495,
-0.00045742138172499835,
-0.04249376803636551,
0.004627414513379335,
-0.0011641556629911065,
0.012325863353908062,
-0.005002948455512524,
0.041492342948913574,
0.03598450869321823,
-0.013227145187556744,
0.018426205962896347,
-0.021680833771824837,
0.015472004190087318,
0.004062027204781771,
0.011407891288399696,
0.04990430548787117,
-0.016406666487455368,
0.020045174285769463,
0.03408180549740791,
0.02286585234105587,
0.028390375897288322,
-0.029141444712877274,
0.002680896082893014,
-0.011992054991424084,
0.027856284752488136,
0.036118034273386,
0.003346425946801901,
0.010306323878467083,
0.049670640379190445,
0.006834720261394978,
-0.02887439914047718,
-0.00537013728171587,
0.015505384653806686,
0.0279731173068285,
-0.016865653917193413,
-0.03999020904302597,
0.013110311701893806,
-0.03862159326672554,
-0.010923868976533413,
0.016949104145169258,
-0.031895361840724945,
0.04075796529650688,
-0.0039660572074353695,
0.025603080168366432,
0.03042660653591156,
-0.02485201135277748,
0.005395173095166683,
-0.018943607807159424,
0.017224496230483055,
-0.03259635716676712,
0.02748909592628479,
-0.016415013000369072,
0.0503382571041584,
-0.04526437446475029,
-0.022131474688649178,
-0.05063868686556816,
0.006392424460500479,
-0.03825440630316734,
0.0057164630852639675,
0.007226944901049137,
0.02440137043595314,
-0.030560128390789032,
0.041458964347839355,
-0.0022552907466888428,
0.036218177527189255,
-0.004153824411332607,
0.026020338758826256,
0.035283513367176056,
0.02286585234105587,
-0.01712435483932495,
-0.029391800984740257,
-0.02597026899456978,
-0.011992054991424084,
-0.0011161707807332277,
0.01714104413986206,
-0.04015711322426796,
0.052908580750226974,
-0.02672133594751358,
0.0072060818783938885,
-0.05517847463488579,
0.01530510000884533,
-0.027522476390004158,
-0.009747195988893509,
0.017558304592967033,
-0.03772031143307686,
-0.002543200273066759,
0.032062266021966934,
-0.032496217638254166,
0.026354147121310234,
0.03241276368498802,
0.003200385021045804,
0.029725609347224236,
-0.010798690840601921,
0.018008945509791374,
-0.02178097702562809,
0.027923045679926872,
-0.03061020001769066,
-0.00309189734980464,
-0.05741498991847038,
0.02318297140300274,
-0.00780276395380497,
-0.016640333458781242,
0.039022162556648254,
0.012951753102242947,
-0.016381630674004555,
0.025769982486963272,
-0.041325438767671585,
-0.006776303984224796,
-0.06008545309305191,
-0.026337457820773125,
0.025302652269601822,
0.0494035966694355,
-0.00046055082930251956,
0.008712390437722206,
0.03511660918593407,
-0.019995104521512985,
0.02964215725660324,
-0.011224296875298023,
-0.047968219965696335,
0.01096559502184391,
-0.02917482517659664,
0.023550160229206085,
0.009855682961642742,
0.004235189873725176,
-0.022732330486178398,
-0.02440137043595314,
-0.0342487096786499,
-0.020579267293214798,
-0.008520451374351978,
0.03197881206870079,
-0.0060002002865076065,
-0.0077944183722138405,
-0.055378761142492294,
-0.002056049183011055,
-0.020429054275155067,
-0.008361891843378544,
-0.03384814038872719,
0.01081538200378418,
-0.02069609984755516,
-0.02950863353908062,
0.02393403835594654,
0.0018338580848649144,
0.03176183998584747,
0.010539989918470383,
0.004041164182126522,
0.0003364159492775798,
0.021397097036242485,
0.07443919777870178,
0.02917482517659664,
0.0522075816988945,
0.012551183812320232,
0.007101766765117645,
0.020195389166474342,
-0.03504984825849533,
0.016097893938422203,
-0.017107663676142693,
-0.005929266102612019,
0.019344177097082138,
-0.016907379031181335,
-0.03661874681711197,
0.025052295997738838,
-0.0032546287402510643,
-0.027872974053025246,
0.014996327459812164,
-0.00792376883327961,
-0.014737626537680626,
0.04326152801513672,
0.009288209490478039,
-0.0479014590382576,
0.01727456785738468,
-0.019077131524682045,
0.06816361099481583,
0.013894760981202126,
0.012918372638523579,
0.0881253331899643,
0.008107363246381283,
-0.01568063348531723,
0.022665567696094513,
0.0011516378726810217,
0.012759814038872719,
-0.01964460499584675,
-0.011165879666805267,
0.011332783848047256,
0.05057192221283913,
-0.06799670308828354,
0.0465996079146862,
0.015572146512567997,
-0.04646608233451843,
0.050872351974248886,
0.04159248620271683,
0.054010145366191864,
-0.06298958510160446
] |
Federated learning (FL) is the most popular distributed machine learning
technique. However, implementation of FL over modern wireless networks faces
key challenges caused by (i) dynamics of the network conditions and (ii) the
coexistence of multiple FL services/tasks and other network services in the
system, which are not jointly considered in prior works. Motivated by these
challenges, we introduce a generic FL paradigm over NextG networks, called
dynamic multi-service FL (DMS-FL). We identify three unexplored design
considerations in DMS-FL: (i) FL service operator accumulation, (ii) wireless
resource fragmentation, and (iii) signal strength fluctuations. We take the
first steps towards addressing these design considerations by proposing a novel
distributed ML architecture called elastic virtualized FL (EV-FL). EV-FL
unleashes the full potential of Open RAN (O-RAN) systems and introduces an
elastic resource provisioning methodology to execute FL services. It further
constitutes a multi-time-scale FL management system that introduces three
dimensions into existing FL architectures: (i) virtualization, (ii)
scalability, and (iii) elasticity. Through investigating EV-FL, we reveal a
series of open research directions for future work. We finally simulate EV-FL
to demonstrate its potential in saving wireless resources and increasing
fairness among FL services. | [
-0.0466889888048172,
-0.00802183523774147,
-0.03491697832942009,
-0.03529788926243782,
0.016560623422265053,
0.01668759435415268,
-0.019208872690796852,
0.034427233040332794,
-0.052457090467214584,
0.04066694155335426,
0.009794892743229866,
-0.011753871105611324,
0.022292450070381165,
-0.025720661506056786,
-0.058334026485681534,
0.049446068704128265,
0.03852657601237297,
-0.018555879592895508,
0.04480256512761116,
-0.03375610336661339,
0.04737825691699982,
-0.047741033136844635,
-0.01773056946694851,
-0.02046044170856476,
-0.0025348819326609373,
0.034245844930410385,
0.031017160043120384,
-0.00492918910458684,
-0.08307520300149918,
0.06152643635869026,
0.0554681122303009,
-0.012406864203512669,
-0.03718431293964386,
-0.003693490754812956,
-0.03529788926243782,
0.01052044052630663,
0.0428798645734787,
0.01317775808274746,
0.01624319702386856,
0.07324402779340744,
-0.023199385032057762,
0.007164782378822565,
-0.015363470651209354,
0.053218916058540344,
0.010865075513720512,
-0.007137574255466461,
-0.048466578125953674,
0.01919073425233364,
-0.03676712512969971,
-0.04556439071893692,
-0.005287427920848131,
-0.04592716321349144,
0.0001832291018217802,
0.011962465941905975,
0.006230639759451151,
0.00018507131608203053,
0.09352308511734009,
0.012923816218972206,
0.014003068208694458,
-0.04454862326383591,
-0.013885167427361012,
-0.043206360191106796,
-0.028151245787739754,
-0.02314496785402298,
0.013467976823449135,
0.0327766127884388,
-0.011019254103302956,
0.03000139258801937,
-0.01847425475716591,
-0.0023466930724680424,
-0.0898953452706337,
0.047160591930150986,
-0.02029719389975071,
-0.016732940450310707,
-0.02410631813108921,
0.012053159065544605,
-0.007500348147004843,
0.013477046974003315,
-0.0031765380408614874,
-0.016596900299191475,
0.017603598535060883,
0.01786660961806774,
0.009368632920086384,
-0.009994418360292912,
0.05942234769463539,
0.07269986718893051,
0.02432398311793804,
-0.08503417670726776,
0.013350076042115688,
0.008425421081483364,
-0.014483744278550148,
0.04476628825068474,
0.005763568915426731,
-0.006239709444344044,
0.05104227364063263,
-0.00844356045126915,
0.01490093395113945,
-0.04037672281265259,
-0.05673782154917717,
0.0071557131595909595,
-0.046979207545518875,
0.07048694789409637,
-0.0019975232426077127,
0.009803961962461472,
0.0021244939416646957,
-0.028749823570251465,
0.011019254103302956,
0.05655643343925476,
0.023435186594724655,
0.08387330174446106,
0.007386981509625912,
0.006579809822142124,
0.00441677076742053,
0.08423607796430588,
-0.060075338929891586,
0.015952978283166885,
-0.030092086642980576,
-0.05300125107169151,
-0.0026913280598819256,
0.02412445656955242,
0.03736570104956627,
0.018383562564849854,
-0.021712012588977814,
-0.06243336945772171,
-0.06283242255449295,
0.06816519796848297,
0.02183898165822029,
-0.02639179304242134,
0.022111063823103905,
-0.011654107831418514,
-0.027951721101999283,
0.02127668261528015,
-0.007894864305853844,
-0.061780378222465515,
0.040739499032497406,
0.02564810775220394,
0.020841354504227638,
0.026246683672070503,
0.015290915966033936,
0.00966792181134224,
0.049591176211833954,
0.01743128150701523,
0.0125429043546319,
0.03827263414859772,
0.05009905993938446,
0.02432398311793804,
0.017159201204776764,
0.07806891947984695,
0.04161015525460243,
-0.010402538813650608,
-0.05252964422106743,
0.020968325436115265,
-0.002430584514513612,
0.005754499230533838,
0.010184874758124352,
0.0027389421593397856,
0.03473559021949768,
-0.03192409500479698,
0.03154318034648895,
0.04095716029405594,
0.045999716967344284,
-0.003221884835511446,
0.013431699946522713,
0.04741453379392624,
-0.004099343903362751,
0.044330958276987076,
0.027969859540462494,
0.02163945697247982,
-0.09265242516994476,
0.05528672784566879,
-0.025521136820316315,
-0.002562090056017041,
-0.011554345488548279,
0.03203292563557625,
0.011753871105611324,
0.010320914909243584,
0.013440769165754318,
-0.000026818335754796863,
-0.01624319702386856,
0.027008509263396263,
-0.03667642921209335,
0.0274801142513752,
0.0337742418050766,
0.046362489461898804,
0.02183898165822029,
-0.0029067250434309244,
0.03932467848062515,
0.038236357271671295,
0.006049253046512604,
-0.04549183323979378,
0.06486395746469498,
0.03589646890759468,
0.06471884250640869,
-0.04382307454943657,
0.051695264875888824,
-0.06395702064037323,
0.018936792388558388,
0.041247379034757614,
0.0399051159620285,
-0.02733500488102436,
-0.012107575312256813,
-0.03736570104956627,
-0.002505406504496932,
0.05996650829911232,
0.023453325033187866,
0.0070604849606752396,
0.0769805982708931,
-0.0016732941148802638,
0.01251569576561451,
-0.04694293066859245,
-0.02029719389975071,
0.010012556798756123,
-0.051876652985811234,
0.0021074889227747917,
-0.004956397227942944,
-0.014946280047297478,
0.02065996825695038,
-0.030872050672769547,
-0.04382307454943657,
-0.038054972887039185,
0.008307520300149918,
0.04516533762216568,
0.012016882188618183,
-0.01716827042400837,
0.001310520339757204,
-0.023471465334296227,
0.030019531026482582,
0.0008366470574401319,
-0.03263150155544281,
-0.005337309557944536,
-0.02579321712255478,
0.02655504271388054,
-0.011400166898965836,
-0.01139109767973423,
0.013640294782817364,
-0.02677270583808422,
0.028713546693325043,
-0.005028951913118362,
-0.016533415764570236,
0.030872050672769547,
-0.01716827042400837,
-0.0008156741969287395,
-0.042988695204257965,
-0.0024396537337452173,
0.06587972491979599,
0.0019669141620397568,
-0.05394446477293968,
0.10890469700098038,
-0.004870238248258829,
0.03186967968940735,
-0.025883911177515984,
-0.043569132685661316,
0.015236499719321728,
-0.0024963372852653265,
-0.037293147295713425,
-0.02465047873556614,
0.011971535161137581,
-0.03270405903458595,
-0.03925212472677231,
-0.0059857675805687904,
0.05535928159952164,
0.022292450070381165,
0.015363470651209354,
0.03471745178103447,
-0.007101296912878752,
0.003160666674375534,
0.038454022258520126,
0.045056506991386414,
-0.0005260219913907349,
0.009704198688268661,
-0.04730570316314697,
-0.028241939842700958,
-0.00630772951990366,
-0.016778288409113884,
0.029457231983542442,
-0.032178036868572235,
-0.06261475384235382,
-0.02470489591360092,
0.015390678308904171,
0.006865493953227997,
0.025394165888428688,
0.01821124367415905,
0.023036135360598564,
-0.035551831126213074,
-0.04748709127306938,
-0.014565368182957172,
-0.018365424126386642,
-0.007246406748890877,
-0.020950186997652054,
0.019499091431498528,
-0.050570666790008545,
-0.02504952996969223,
0.0030813098419457674,
-0.015753451734781265,
0.0305455531924963,
-0.0012164259096607566,
-0.007708942983299494,
-0.019480952993035316,
0.08126132935285568,
-0.0005523798172362149,
-0.005736360792070627,
-0.007001534104347229,
0.02771591767668724,
-0.01746755838394165,
0.026845261454582214,
-0.020061390474438667,
-0.04099344089627266,
0.027026647701859474,
0.014547228813171387,
-0.01991628110408783,
0.03323008120059967,
-0.03838146850466728,
-0.008702035993337631,
-0.05234825983643532,
-0.021965952590107918,
0.04273475334048271,
0.01897306926548481,
0.017839401960372925,
-0.0074867443181574345,
-0.06036556139588356,
0.042009204626083374,
0.03983256220817566,
-0.12145666778087616,
0.031597599387168884,
-0.006330402567982674,
-0.047704752534627914,
0.06580716371536255,
0.026899676769971848,
-0.0720105990767479,
0.03243197873234749,
-0.024813728407025337,
-0.028731685131788254,
-0.036549460142850876,
-0.03965117782354355,
0.003301241435110569,
0.007822309620678425,
-0.07211942970752716,
0.03259522467851639,
-0.05136876925826073,
-0.010565786622464657,
-0.013540531508624554,
-0.021204128861427307,
-0.010973907075822353,
0.017721500247716904,
-0.04005022719502449,
-0.009831169620156288,
-0.048502855002880096,
0.023090552538633347,
0.06461001187562943,
0.0031833399552851915,
0.0010089646093547344,
0.005124180112034082,
0.04491139575839043,
-0.04632621258497238,
-0.0028251009061932564,
-0.04008650407195091,
0.000008493653695040848,
0.006788404658436775,
-0.020424164831638336,
0.01576252095401287,
0.018419839441776276,
-0.004509731661528349,
-0.05920468270778656,
0.002223123097792268,
-0.07211942970752716,
0.00370029266923666,
0.013876097276806831,
-0.031180407851934433,
-0.014501882717013359,
0.04741453379392624,
-0.016642248257994652,
0.044512346386909485,
0.00187395338434726,
-0.0425533652305603,
-0.04483884200453758,
-0.0036027971655130386,
-0.01413910835981369,
-0.03914329409599304,
-0.0516589879989624,
0.04795869439840317,
0.04893818497657776,
0.040521834045648575,
0.03413701429963112,
0.004024521913379431,
0.04799497500061989,
-0.004224047530442476,
0.004237651359289885,
-0.06994278728961945,
-0.030509276315569878,
0.030799495056271553,
0.02407004125416279,
-0.037510812282562256,
-0.05408957228064537,
0.016796426847577095,
0.014646992087364197,
-0.04338774457573891,
0.0004103878454770893,
-0.03573321923613548,
-0.02091391012072563,
-0.023054275661706924,
-0.09620761126279831,
0.030327890068292618,
0.0007436862797476351,
0.05427096039056778,
-0.01682363450527191,
-0.04190037399530411,
0.007999162189662457,
-0.0011767474934458733,
0.025376027449965477,
0.02388865500688553,
-0.015299985185265541,
-0.012261753901839256,
0.0050470903515815735,
-0.027969859540462494,
0.011182501912117004,
0.02920329011976719,
-0.06337658315896988,
0.0035574506036937237,
-0.039179570972919464,
-0.04748709127306938,
-0.0035529157612472773,
0.0064573734998703,
0.04948234558105469,
0.05735453590750694,
-0.013622156344354153,
0.03529788926243782,
0.012116644531488419,
-0.011037392541766167,
-0.05387190729379654,
-0.010502301156520844,
0.04193665087223053,
-0.009200850501656532,
0.05412584915757179,
-0.053436581045389175,
-0.044113293290138245,
0.01422073319554329,
0.029529787600040436,
0.028713546693325043,
-0.04995395243167877,
0.013223105110228062,
-0.008711106143891811,
0.003988244570791721,
0.0003469024377409369,
0.02330821566283703,
-0.020551135763525963,
0.007854052819311619,
0.033084969967603683,
-0.06646016240119934,
-0.0020632760133594275,
-0.05144132301211357,
-0.024360259994864464,
0.008221360854804516,
-0.10484162718057632,
-0.009060275740921497,
0.023017996922135353,
-0.035207197070121765,
0.00488837668672204,
-0.011137155815958977,
0.010493231937289238,
-0.025212779641151428,
0.010302775539457798,
0.061199940741062164,
0.05387190729379654,
-0.04940979182720184,
-0.011590622365474701,
0.0016948338598012924,
-0.045673221349716187,
-0.08851680904626846,
0.0053055668249726295,
-0.020006975159049034,
0.008838077075779438,
-0.04414957016706467,
0.04117482528090477,
0.059313517063856125,
0.03058183193206787,
0.05543183535337448,
0.017032230272889137,
-0.12203710526227951,
-0.014601645059883595,
-0.017113853245973587,
0.023634713143110275,
0.030237196013331413,
0.08118877559900284,
-0.01148179080337286,
0.0013660701224580407,
-0.023979347199201584,
-0.012597319670021534,
0.004815822001546621,
0.036712709814310074,
-0.019626062363386154,
0.03743825480341911,
0.0027185361832380295,
0.037655919790267944,
-0.01590763032436371,
-0.023562157526612282,
-0.03517092019319534,
-0.011037392541766167,
0.004353285767138004,
0.023054275661706924,
-0.0013649363536387682,
-0.03513464331626892,
0.015336262062191963,
0.0033171128015965223,
0.0008950309711508453,
-0.03306683152914047,
-0.01604367047548294,
-0.004609494470059872,
-0.01766708306968212,
-0.014266079291701317,
-0.0024011090863496065,
0.016279473900794983,
0.04864796623587608,
-0.01338635291904211,
-0.02655504271388054,
-0.007917538285255432,
0.03257708624005318,
0.001415951526723802,
-0.023852376267313957,
-0.016751080751419067,
0.04647132381796837,
0.005727291107177734,
0.03732942417263985,
0.02849588170647621,
0.036748986691236496,
-0.018846098333597183,
0.013975860550999641,
0.05633877217769623,
0.01383982039988041,
-0.00781324040144682,
-0.03527975082397461,
-0.019825588911771774,
0.028477743268013,
-0.02920329011976719,
0.008747383020818233,
-0.007640922907739878,
-0.003303508972749114,
0.039542343467473984,
0.029747450724244118,
-0.024160735309123993,
-0.023779822513461113,
-0.04498394951224327,
0.041247379034757614,
-0.018156828358769417,
0.0186284352093935,
0.016451790928840637,
0.01348611619323492,
-0.010964837856590748,
-0.04683409631252289,
-0.023108690977096558,
-0.028532158583402634,
0.01756732165813446,
-0.017413143068552017,
-0.003410073695704341,
0.0245053693652153,
-0.010856006294488907,
-0.009767684154212475,
0.042589642107486725,
-0.045274168252944946,
-0.04182782024145126,
-0.010311844758689404,
0.02238314412534237,
0.002559822518378496,
0.01814775913953781,
-0.0024668618571013212,
0.012660805135965347,
-0.022836610674858093,
0.007169316988438368,
0.04647132381796837,
-0.04266219958662987,
0.028568437322974205,
0.028731685131788254,
-0.014937210828065872,
-0.015390678308904171,
0.0004245587042532861,
-0.0023285544011741877,
-0.000463386852061376,
0.029112597927451134,
-0.029693035408854485,
0.027044786140322685,
-0.02677270583808422,
0.03270405903458595,
-0.020823216065764427,
0.01576252095401287,
0.043206360191106796,
0.022092923521995544,
0.04951862245798111,
-0.005627528298646212,
0.007518487051129341,
0.01518208347260952,
-0.04723314940929413,
0.006910840980708599,
0.009559089317917824,
-0.026047158986330032,
0.007990092970430851,
0.004629900678992271,
0.02220175601541996,
0.04723314940929413,
0.025194639340043068,
0.04995395243167877,
-0.05412584915757179,
-0.008937839418649673,
0.04066694155335426,
-0.004679781850427389,
0.030073948204517365,
-0.004317007958889008,
0.01355867087841034,
0.004144690465182066,
0.02543044276535511,
0.034282125532627106,
-0.00883354153484106,
0.028568437322974205,
-0.00034038384910672903,
0.06453745812177658,
0.024160735309123993,
0.017404071986675262,
0.02354401908814907,
0.011155294254422188,
0.006597948260605335,
-0.012787776067852974,
-0.016832703724503517,
0.024940699338912964,
-0.04443978890776634,
0.02446909248828888,
-0.0033783309627324343,
-0.023797960951924324,
0.04777731001377106,
0.018184036016464233,
-0.03983256220817566,
-0.009413979947566986,
-0.012715221382677555,
-0.019426537677645683,
0.017440350726246834,
-0.04233570024371147,
-0.028387049213051796,
-0.041864097118377686,
-0.021403653547167778,
-0.0028749823104590178,
-0.013903305865824223,
-0.024813728407025337,
0.011363889090716839,
-0.025194639340043068,
0.008112529292702675,
-0.02013394609093666,
0.039397235959768295,
-0.007509417366236448,
0.017340587452054024,
-0.000943778723012656,
0.0045233359560370445,
0.055903442203998566,
0.027588946744799614,
0.058334026485681534,
0.020823216065764427,
-0.004573217127472162,
0.04864796623587608,
-0.03968745470046997,
-0.018918653950095177,
0.017041299492120743,
-0.04730570316314697,
0.007269079796969891,
0.037293147295713425,
0.009164572693407536,
0.0610911063849926,
-0.01138202752918005,
-0.006829216610640287,
0.011590622365474701,
-0.0341007374227047,
0.027933582663536072,
0.04037672281265259,
0.01564461924135685,
0.05220314860343933,
-0.03283102810382843,
0.03076321817934513,
-0.01897306926548481,
0.021585041657090187,
0.014819310046732426,
0.006607017945498228,
0.04150132089853287,
0.04502022638916969,
-0.007636388298124075,
-0.0057046180590987206,
-0.018864236772060394,
-0.011336681433022022,
0.031234823167324066,
-0.004226314835250378,
-0.005967629142105579,
-0.004720593802630901,
-0.028006136417388916,
0.03469931334257126,
-0.03783730790019035,
-0.020551135763525963,
0.008280311711132526,
-0.0035551832988858223,
-0.012053159065544605,
-0.02827821671962738,
0.03357471525669098,
0.01933584362268448,
0.010085111483931541,
0.0064573734998703,
0.0254123043268919,
0.03569694235920906,
0.012570112012326717,
0.00029362004715949297,
-0.009940002113580704,
-0.02180270478129387,
-0.028913071379065514,
0.0038590063340961933,
0.012397794052958488,
0.0038000554777681828,
-0.023036135360598564,
-0.011345750652253628,
0.02185712195932865,
-0.0008729244582355022,
-0.013730987906455994,
0.025956464931368828,
0.0452016144990921,
-0.016451790928840637,
-0.03341146558523178,
0.04759592190384865,
-0.004956397227942944,
0.018165897578001022,
-0.0023602969013154507,
0.011508998461067677,
0.002775219501927495,
-0.023943070322275162,
-0.006040183827280998,
0.022691501304507256,
0.009092018008232117,
0.0018308740109205246,
-0.04741453379392624,
0.004389563109725714,
0.02332635596394539,
-0.03694850951433182,
-0.06395702064037323,
0.015780659392476082,
0.032740335911512375,
0.023797960951924324,
0.045455556362867355,
0.06018417328596115,
-0.00013696127280127257,
-0.003133458783850074,
0.004063066560775042,
0.005069763865321875,
-0.006217035930603743,
-0.004684316460043192,
-0.0028069622348994017,
0.011082739569246769,
0.020950186997652054,
0.0173043105751276,
-0.047160591930150986,
-0.013032648712396622,
0.022238032892346382,
-0.019245149567723274,
0.05028044804930687,
-0.017694292590022087,
-0.024741172790527344,
0.03903445973992348,
0.04284358397126198,
0.0070423465222120285,
0.03604157641530037,
0.03375610336661339,
-0.013259381987154484,
0.020841354504227638,
0.013050787150859833,
0.01880982145667076,
0.03834519162774086,
0.027389422059059143,
0.007210129406303167,
-0.0322868674993515,
-0.015581134706735611,
-0.001566729391925037,
0.01917259581387043,
-0.009695129469037056,
0.03473559021949768,
-0.05086088553071022,
-0.04661643132567406,
0.013984929770231247,
0.002235593507066369,
-0.04269847646355629,
-0.006915375590324402,
0.006380284205079079,
-0.04806752875447273,
0.021893398836255074,
0.002559822518378496,
0.008488906547427177,
-0.05782614275813103,
-0.019408397376537323,
0.020569274201989174,
-0.033520299941301346,
0.01917259581387043,
0.03932467848062515,
0.01768522337079048,
0.028586575761437416,
-0.0010412741685286164,
0.015771590173244476,
0.07306264340877533,
-0.0006762330303899944,
-0.032359421253204346,
0.02162131853401661,
-0.049446068704128265,
-0.02829635702073574,
0.02657318115234375,
-0.00915550347417593,
-0.0008026370196603239,
0.004212710540741682,
-0.027062924578785896,
0.021693872287869453,
0.005428003147244453,
-0.04723314940929413,
-0.009128295816481113,
-0.02104088105261326,
0.02104088105261326,
0.026718290522694588,
-0.018047995865345,
0.005146853160113096,
-0.009051206521689892,
-0.04113854840397835,
-0.04476628825068474,
0.019589785486459732,
-0.018220314756035805,
-0.03488070145249367,
-0.023961208760738373,
-0.019880004227161407,
0.004369156900793314,
0.035388585180044174,
-0.022836610674858093,
-0.01877354457974434,
-0.0202790554612875,
0.004815822001546621,
0.021113434806466103,
0.0017945966683328152,
0.026827123016119003,
-0.029076319187879562,
-0.02407004125416279,
0.021548762917518616,
-0.061199940741062164,
0.003221884835511446,
0.02882237732410431,
0.0341007374227047,
0.002943002386018634,
0.047704752534627914,
-0.006974326446652412,
-0.016052739694714546,
-0.0032060134690254927,
-0.0064981854520738125,
-0.04687037318944931,
-0.024251427501440048,
-0.010647410526871681,
-0.014574437402188778,
-0.00800369679927826,
-0.004806752782315016,
0.03201478719711304,
-0.005260220263153315,
0.047559645026922226,
0.02579321712255478,
-0.035787634551525116,
-0.013331936672329903,
0.008860750123858452,
0.006421096157282591,
-0.014773963019251823,
-0.02051485888659954,
-0.04665271192789078,
0.025158362463116646,
0.01452002115547657,
-0.020387887954711914,
0.006625156383961439,
-0.06780242174863815,
-0.016361098736524582,
-0.019208872690796852,
0.0022605343256145716,
-0.032359421253204346,
0.03830891475081444,
-0.00938677228987217,
0.02867726795375347,
0.03983256220817566,
0.01897306926548481,
-0.0007476541213691235,
0.005119645036756992,
0.0202790554612875,
0.022310588508844376,
-0.03669457137584686,
0.04654387757182121,
0.04672526568174362,
0.034826286137104034,
-0.030400443822145462,
0.03569694235920906,
0.014293287880718708,
-0.014728615991771221,
-0.043133802711963654,
-0.0019499091431498528,
-0.0692172423005104,
-0.028931209817528725,
0.04806752875447273,
0.005323705263435841,
-0.0023398909252136946,
0.029167013242840767,
0.011073670350015163,
-0.02849588170647621,
0.002784288953989744,
0.04048555716872215,
0.0322868674993515,
0.0004180401156190783,
-0.03453606367111206,
-0.016370167955756187,
-0.04730570316314697,
0.03667642921209335,
0.02675456739962101,
0.0050969719886779785,
-0.024342121556401253,
-0.006534462794661522,
0.007065019570291042,
-0.036132268607616425,
-0.028713546693325043,
-0.004920119419693947,
-0.02787916548550129,
0.056483879685401917,
0.03761964291334152,
-0.018220314756035805,
-0.030599970370531082,
-0.012488488107919693,
0.046979207545518875,
0.01622505858540535,
0.01933584362268448,
0.0015542589826509356,
0.021603180095553398,
-0.023453325033187866,
0.004446246195584536,
0.0025235451757907867,
-0.007563833612948656,
-0.01604367047548294,
-0.0181296207010746,
-0.010375330224633217,
0.03798241540789604,
0.04324263706803322,
0.03014650195837021,
0.009649783372879028,
0.03168829157948494,
-0.027933582663536072,
0.021149711683392525,
-0.015064181759953499,
0.02374354563653469,
-0.02488628216087818,
-0.008239500224590302,
0.006198897026479244,
0.039941396564245224,
0.05749964714050293,
-0.040558110922575,
0.0250858087092638,
0.003099448513239622,
0.015290915966033936,
0.05956745892763138,
-0.010946699418127537,
0.016841772943735123,
0.0064347004517912865,
-0.018419839441776276,
-0.0008632882963865995,
0.0146107142791152,
-0.009903724305331707,
-0.01995255798101425,
-0.010221151635050774,
0.011354819871485233,
0.021131573244929314,
0.019807448610663414,
0.02958420291543007,
-0.0004418471362441778,
0.00849344115704298,
0.016914328560233116,
-0.0034599550999701023,
-0.048321470618247986,
-0.03076321817934513,
0.010620202869176865,
0.003854471491649747,
0.015018834732472897,
0.002559822518378496,
-0.005128714721649885,
0.01527277659624815,
0.03776475042104721,
-0.02826007828116417,
-0.020006975159049034,
-0.014057484455406666,
-0.003820461453869939,
0.00683828629553318,
0.010502301156520844,
0.004407701548188925,
0.024142596870660782,
-0.03092646598815918,
-0.025684384629130363,
0.04092088341712952,
-0.015517649240791798,
-0.0312892384827137,
0.023253800347447395,
-0.006375749595463276,
0.03052741475403309,
0.010656480677425861,
-0.028804238885641098,
-0.03052741475403309,
0.006443769671022892,
0.007382446900010109,
-0.05292869731783867,
-0.037075482308864594,
0.0004922953667119145,
0.012878470122814178,
-0.022491974756121635,
0.005895073991268873,
0.03736570104956627,
0.05252964422106743,
-0.001965780509635806,
0.020750660449266434,
0.024396538734436035,
-0.007645457983016968,
0.012688013724982738,
-0.0011824158718809485,
-0.038018692284822464,
-0.02314496785402298,
-0.004965466447174549,
-0.0029339331667870283,
-0.01650620810687542,
-0.04491139575839043,
0.011055531911551952,
0.02767964079976082,
-0.017059437930583954,
0.01261545903980732,
-0.014501882717013359,
-0.02675456739962101,
-0.003854471491649747
] |
Most existing exoplanets are discovered using validation techniques rather
than being confirmed by complementary observations. These techniques generate a
score that is typically the probability of the transit signal being an
exoplanet (y(x)=exoplanet) given some information related to that signal
(represented by x). Except for the validation technique in Rowe et al. (2014)
that uses multiplicity information to generate these probability scores, the
existing validation techniques ignore the multiplicity boost information. In
this work, we introduce a framework with the following premise: given an
existing transit signal vetter (classifier), improve its performance using
multiplicity information. We apply this framework to several existing
classifiers, which include vespa (Morton et al. 2016), Robovetter (Coughlin et
al. 2017), AstroNet (Shallue & Vanderburg 2018), ExoNet (Ansdel et al. 2018),
GPC and RFC (Armstrong et al. 2020), and ExoMiner (Valizadegan et al. 2022), to
support our claim that this framework is able to improve the performance of a
given classifier. We then use the proposed multiplicity boost framework for
ExoMiner V1.2, which addresses some of the shortcomings of the original
ExoMiner classifier (Valizadegan et al. 2022), and validate 69 new exoplanets
for systems with multiple KOIs from the Kepler catalog. | [
-0.022726740688085556,
0.014766357839107513,
-0.03840658441185951,
-0.03663983941078186,
0.004238677676767111,
-0.013993407599627972,
-0.031439993530511856,
0.04497164115309715,
-0.019223367795348167,
0.0728781521320343,
-0.027525052428245544,
-0.007719462271779776,
-0.017526892945170403,
-0.05922604352235794,
-0.03593716025352478,
0.020096702501177788,
-0.016814174130558968,
0.00514965457841754,
-0.052801523357629776,
0.02525639533996582,
-0.06231784448027611,
-0.059346504509449005,
-0.04424888268113136,
0.05239999294281006,
0.03908918797969818,
0.00678589940071106,
-0.0009611684363335371,
-0.02156229503452778,
-0.09339646250009537,
0.02575830928981304,
0.08094895631074905,
0.01117264200001955,
0.010490036569535732,
0.06440581381320953,
-0.006876244209706783,
-0.016994863748550415,
0.03511401638388634,
-0.013762526214122772,
-0.05344397574663162,
-0.028589114546775818,
0.026621604338288307,
-0.05850328505039215,
0.016553178429603577,
0.004780746530741453,
-0.029693327844142914,
0.03959110379219055,
-0.05127570033073425,
0.0058272406458854675,
0.001415402046404779,
-0.021903598681092262,
-0.018942296504974365,
0.0014681032625958323,
-0.008161148056387901,
-0.013260611332952976,
0.005081895738840103,
0.04147830605506897,
-0.019032640382647514,
0.06769838184118271,
0.07504642754793167,
0.016924595460295677,
0.04995064437389374,
0.027243981137871742,
-0.0012949423398822546,
-0.007784711662679911,
0.008833714760839939,
-0.061073094606399536,
0.012658311985433102,
-0.01068076491355896,
-0.007895132526755333,
0.01299961470067501,
0.022766893729567528,
-0.009702028706669807,
-0.024413175880908966,
-0.010740994475781918,
0.01829984411597252,
0.027344362810254097,
0.030677083879709244,
0.030436163768172264,
-0.04637700319290161,
0.022044135257601738,
0.044529955834150314,
0.019012564793229103,
-0.0009668149868957698,
0.04822405427694321,
0.07271753996610641,
-0.008853791281580925,
-0.003520938102155924,
-0.06292014569044113,
-0.017717622220516205,
-0.04224121943116188,
-0.02475447952747345,
-0.0046151140704751015,
-0.00994796771556139,
0.004070535767823458,
-0.004499673843383789,
0.06231784448027611,
0.04778236895799637,
-0.010259155184030533,
-0.02963309921324253,
-0.02328888513147831,
-0.017456626519560814,
-0.07087048888206482,
0.05962757766246796,
-0.028769804164767265,
0.0893811360001564,
-0.04754144698381424,
-0.026340533047914505,
-0.030978232622146606,
0.02742467075586319,
0.10889561474323273,
-0.01580030471086502,
-0.003709156531840563,
-0.006941493134945631,
0.00010289270721841604,
-0.005977815017104149,
0.010369576513767242,
-0.11877331137657166,
0.0041859764605760574,
-0.00957655068486929,
-0.02186344563961029,
0.027806125581264496,
0.07424335926771164,
0.026661759242415428,
-0.03858727216720581,
-0.06938481330871582,
0.04033394157886505,
-0.021000150591135025,
0.014746281318366528,
0.016011109575629234,
0.02024727687239647,
-0.017627276480197906,
0.003475765697658062,
-0.028589114546775818,
-0.008703216910362244,
-0.0048033325001597404,
-0.008517508395016193,
0.012547890655696392,
-0.011734787374734879,
-0.01941409707069397,
-0.030737312510609627,
0.003653945866972208,
-0.041157081723213196,
-0.0024957754649221897,
0.05292198434472084,
0.01177494041621685,
-0.003807030152529478,
-0.00830670353025198,
0.0534038245677948,
-0.01860099285840988,
-0.017878234386444092,
0.035816699266433716,
0.021983904764056206,
-0.012638235464692116,
0.010219002142548561,
0.0037969916593283415,
0.016071338206529617,
0.049629416316747665,
0.03220290690660477,
0.024352947250008583,
-0.05416673421859741,
0.025396930053830147,
-0.005099462810903788,
0.018199460580945015,
-0.017456626519560814,
-0.02350972779095173,
0.03278512880206108,
-0.0011293102288618684,
0.009636780247092247,
-0.06741730868816376,
0.02206421084702015,
0.0010119874496012926,
-0.021963827311992645,
-0.012296932749450207,
-0.0041006505489349365,
-0.024634018540382385,
0.03804520517587662,
0.066011942923069,
0.025918923318386078,
-0.0049313209019601345,
0.008934098295867443,
-0.07568887621164322,
-0.035555701702833176,
-0.017878234386444092,
0.014294557273387909,
0.08335814625024796,
-0.03694099187850952,
0.09026450663805008,
-0.006640343926846981,
-0.001527078333310783,
0.04593531787395477,
0.030737312510609627,
-0.004707968793809414,
0.0648876503109932,
0.01323049608618021,
0.06312090903520584,
-0.012477622367441654,
-0.043767042458057404,
0.019404057413339615,
-0.005295210052281618,
-0.04918773099780083,
-0.010690802708268166,
-0.05031202360987663,
-0.007152297534048557,
-0.04167907312512398,
0.04344581812620163,
0.034371182322502136,
0.044770874083042145,
0.0018721453379839659,
0.053524281829595566,
-0.02937210351228714,
-0.0671362355351448,
-0.02816750481724739,
-0.03935018554329872,
-0.01744658686220646,
0.01311003603041172,
0.001279257470741868,
0.04003278911113739,
0.023369191214442253,
-0.01720566861331463,
-0.0164126418530941,
0.01345133874565363,
-0.01759716123342514,
-0.007157316897064447,
-0.049428652971982956,
0.0029010723810642958,
0.018721453845500946,
0.005430727265775204,
-0.0031896738801151514,
-0.014143982902169228,
0.026300380006432533,
-0.009973064064979553,
0.007157316897064447,
0.0064696925692260265,
-0.007960381917655468,
-0.027223903685808182,
-0.033628348261117935,
0.01685432717204094,
-0.0014442622195929289,
0.018329959362745285,
0.0030817619990557432,
-0.0012071070959791541,
-0.008663063868880272,
-0.03182145208120346,
0.010710879229009151,
0.04465041309595108,
0.07299861311912537,
-0.023248732089996338,
0.057660069316625595,
0.03888842463493347,
0.022204747423529625,
0.03515417128801346,
0.01591072604060173,
-0.020237239077687263,
0.024413175880908966,
-0.03910926729440689,
0.01878168247640133,
0.02622007206082344,
0.011313178576529026,
-0.03415033966302872,
-0.03663983941078186,
0.029673252254724503,
-0.02674206532537937,
-0.020919842645525932,
0.0563751645386219,
-0.013371032662689686,
-0.05749945342540741,
0.07737531512975693,
-0.036800455302000046,
-0.03404995799064636,
0.012327047996222973,
-0.008115976117551327,
-0.04224121943116188,
-0.01188536174595356,
0.010500075295567513,
0.060310181230306625,
-0.018239613622426987,
0.013682220131158829,
-0.029010724276304245,
0.03547539561986923,
0.03573639318346977,
0.02593900077044964,
-0.0013376051792874932,
-0.007297853473573923,
-0.04077562689781189,
-0.028227735310792923,
-0.006620267406105995,
0.018089039251208305,
0.004138294607400894,
-0.025858692824840546,
-0.03744290769100189,
0.006544979754835367,
-0.03328704461455345,
-0.02595907635986805,
0.012306971475481987,
0.0023590035270899534,
-0.06231784448027611,
-0.05147646740078926,
0.0037242139223963022,
0.0018583426717668772,
-0.03926987946033478,
-0.06818021833896637,
0.052560605108737946,
0.004105669911950827,
0.013270649127662182,
-0.05629485845565796,
-0.021200915798544884,
-0.014655936509370804,
0.030215321108698845,
-0.04541332647204399,
-0.06167539209127426,
-0.07753592729568481,
0.052600760012865067,
-0.0017328637186437845,
-0.05806159973144531,
-0.002407940337434411,
0.0013627009466290474,
0.054487962275743484,
-0.02236536145210266,
-0.03591708093881607,
-0.06384366750717163,
0.03328704461455345,
-0.047983136028051376,
-0.06882267445325851,
0.044329188764095306,
0.012798848561942577,
0.024694249033927917,
-0.04167907312512398,
0.045051947236061096,
-0.06239815056324005,
0.016081376001238823,
-0.07392213493585587,
-0.00994796771556139,
-0.020739153027534485,
-0.027826203033328056,
-0.030034631490707397,
0.0044268956407904625,
-0.017366280779242516,
0.014465208165347576,
-0.0058121830224990845,
0.04762175679206848,
-0.013170266523957253,
0.008271569386124611,
-0.041598767042160034,
0.0014480266254395247,
-0.014886817894876003,
-0.06966588646173477,
0.03587692975997925,
-0.020317545160651207,
0.0019210820319131017,
-0.05051279067993164,
0.0010220257099717855,
0.04485118016600609,
0.014384902082383633,
0.02963309921324253,
-0.0018181893974542618,
-0.03768382593989372,
-0.0016249518375843763,
-0.026119690388441086,
0.024192333221435547,
-0.036037541925907135,
0.011012028902769089,
-0.028488731011748314,
-0.0283682718873024,
0.024553712457418442,
0.0024016662500798702,
0.03172106668353081,
-0.005807163659483194,
0.014886817894876003,
-0.06159508600831032,
-0.03762359544634819,
-0.01711532287299633,
0.03922972455620766,
0.04167907312512398,
0.030255474150180817,
-0.038486890494823456,
-0.015017315745353699,
-0.016322296112775803,
-0.006534941494464874,
0.03696106746792793,
0.04268290475010872,
-0.061996620148420334,
0.04364658147096634,
0.021040303632616997,
-0.016583291813731194,
0.004878620151430368,
0.07741546630859375,
0.016292180866003036,
-0.00594770023599267,
-0.006038045044988394,
-0.05119539424777031,
0.011584213003516197,
-0.05798129364848137,
0.019685130566358566,
-0.006033025681972504,
0.007910190150141716,
-0.0006869970238767564,
-0.014284518547356129,
-0.004938849713653326,
-0.0274447463452816,
0.03280520439147949,
-0.016101453453302383,
-0.013692258857190609,
-0.041397999972105026,
0.000535167520865798,
0.020217161625623703,
0.01444513164460659,
-0.01829984411597252,
0.04537317156791687,
0.04609593003988266,
0.01827976666390896,
0.0179886557161808,
-0.0037769151385873556,
-0.0013664653524756432,
-0.018681298941373825,
0.04705961048603058,
-0.02981378883123398,
-0.003500861581414938,
0.0328252837061882,
-0.024613942950963974,
-0.044529955834150314,
-0.02403172105550766,
0.017807966098189354,
0.03545532003045082,
0.015047430992126465,
0.01190543919801712,
0.0552508719265461,
0.03294574096798897,
0.007945324294269085,
0.05484934151172638,
0.0008858810761012137,
0.02089976705610752,
0.052801523357629776,
0.046698231250047684,
-0.06593164056539536,
0.02046811953186989,
0.030235398560762405,
-0.035575781017541885,
-0.022164594382047653,
0.02228505350649357,
-0.04348596930503845,
0.001504492131061852,
0.022706663236021996,
-0.026641681790351868,
0.010831339284777641,
-0.05605393648147583,
-0.03061685338616371,
-0.030757389962673187,
-0.03539508953690529,
-0.03661976382136345,
0.017285974696278572,
-0.026280302554368973,
0.019705208018422127,
-0.08705224841833115,
0.013682220131158829,
0.020678924396634102,
0.029572868719697,
0.0011958139948546886,
-0.002185842487961054,
0.0548894926905632,
0.004984022118151188,
-0.02449348196387291,
0.044088270515203476,
-0.02110053226351738,
-0.03657961264252663,
-0.006509845610707998,
0.020016394555568695,
-0.06167539209127426,
-0.010148733854293823,
-0.003455689176917076,
0.008281608112156391,
0.006489769089967012,
-0.02891034074127674,
0.02768566645681858,
0.0018784193089231849,
0.021662678569555283,
-0.011212795041501522,
-0.029894094914197922,
-0.008261531591415405,
0.020187046378850937,
0.015258234925568104,
0.013421224430203438,
-0.027986815199255943,
0.014485284686088562,
0.04569439962506294,
0.008883906528353691,
0.023489652201533318,
0.0876946970820427,
-0.015258234925568104,
-0.009425975382328033,
0.00933563057333231,
-0.02668183483183384,
-0.025838617235422134,
-0.02425256371498108,
0.013993407599627972,
-0.0016149135772138834,
-0.03712167963385582,
-0.028970569372177124,
-0.008748389780521393,
0.0732395276427269,
-0.014415017329156399,
0.02593900077044964,
-0.05517056584358215,
-0.045011792331933975,
0.034571949392557144,
-0.01067072618752718,
0.06781884282827377,
0.04029378667473793,
-0.048906657844781876,
0.0023276337888091803,
-0.029773635789752007,
0.03525455296039581,
0.002808217890560627,
-0.00872329343110323,
-0.006625286303460598,
-0.007297853473573923,
0.02575830928981304,
0.031460072845220566,
0.006088236812502146,
0.04252229258418083,
-0.01796858012676239,
-0.016292180866003036,
-0.029452409595251083,
-0.006218734662979841,
0.007212527561932802,
-0.000822514237370342,
-0.007749577518552542,
-0.030255474150180817,
0.0041257464326918125,
0.07448428124189377,
-0.048183899372816086,
-0.0010897843167185783,
0.045734550803899765,
-0.06460657715797424,
-0.07066971808671951,
0.0240116436034441,
-0.03832627832889557,
-0.01759716123342514,
-0.030195243656635284,
-0.031460072845220566,
-0.029070952907204628,
0.01527831144630909,
0.06384366750717163,
0.039912331849336624,
-0.010841378010809422,
-0.01713540032505989,
0.029432332143187523,
0.0344916433095932,
-0.028267888352274895,
-0.00994796771556139,
-0.004075555130839348,
-0.006007930263876915,
0.011122450232505798,
0.018089039251208305,
0.008080841973423958,
-0.04049455374479294,
-0.059145737439394,
-0.04392765462398529,
0.005415669642388821,
0.01822957582771778,
-0.050834015011787415,
0.0071121444925665855,
0.007021799683570862,
0.008407087065279484,
-0.051074933260679245,
0.010289270430803299,
0.040434323251247406,
-0.015469039790332317,
0.025577619671821594,
-0.045533787459135056,
-0.025577619671821594,
0.00404293043538928,
-0.02423248626291752,
-0.02085961401462555,
-0.0022259957622736692,
-0.03864750266075134,
0.010113599710166454,
0.021461911499500275,
-0.0009448562050238252,
-0.014625821262598038,
-0.02642083913087845,
0.07143263518810272,
-0.004524769261479378,
0.017888272181153297,
-0.018962372094392776,
0.0016236971132457256,
-0.015418848022818565,
-0.022967658936977386,
-0.03888842463493347,
-0.025617774575948715,
-0.032383598387241364,
-0.018942296504974365,
0.03055662289261818,
-0.01529838889837265,
-0.03352796286344528,
0.02766558900475502,
0.007533753756433725,
0.03352796286344528,
-0.02162252552807331,
0.0074735237285494804,
-0.03989225625991821,
0.008286627009510994,
0.006098275072872639,
0.0043039266020059586,
-0.005591340363025665,
0.004007796291261911,
0.016994863748550415,
-0.03322681412100792,
-0.0031796356197446585,
0.03778420761227608,
0.024915091693401337,
-0.057378996163606644,
-0.03254421055316925,
0.07279784232378006,
0.016161683946847916,
0.043767042458057404,
-0.004823409020900726,
-0.037523213773965836,
-0.008773485198616982,
0.05139616131782532,
0.007152297534048557,
0.05027186870574951,
-0.020939920097589493,
-0.018028808757662773,
0.008447240106761456,
0.028930416330695152,
0.04677853733301163,
-0.03561593219637871,
-0.01648291014134884,
0.001634990214370191,
-0.009451071731746197,
-0.009626741521060467,
-0.0021494536194950342,
-0.024393100291490555,
-0.026159843429923058,
0.002727911341935396,
-0.009792373515665531,
0.0006725669372826815,
0.00011834229371743277,
0.014846663922071457,
0.040374092757701874,
-0.0133509561419487,
0.017346203327178955,
0.0141841359436512,
0.047661907970905304,
-0.007629117462784052,
0.049669571220874786,
0.000681977835483849,
0.01324053481221199,
0.07432366907596588,
0.019644977524876595,
0.03137976676225662,
0.0252162404358387,
-0.021220993250608444,
0.04396780952811241,
-0.010941760614514351,
-0.006329155992716551,
-0.002657643286511302,
0.0016111491713672876,
-0.007272757589817047,
-0.004155861213803291,
0.01906275562942028,
-0.004625152330845594,
0.0385671965777874,
0.00200013373978436,
-0.002798179630190134,
-0.012327047996222973,
-0.017045054584741592,
0.011423599906265736,
-0.026280302554368973,
-0.010650649666786194,
-0.019835704937577248,
-0.015499155037105083,
0.001552174100652337,
0.0035033710300922394,
0.012758695520460606,
-0.03561593219637871,
0.0006524903001263738,
0.028589114546775818,
-0.023108195513486862,
-0.06115340068936348,
-0.016733868047595024,
-0.005395593121647835,
0.011724749580025673,
-0.02210436388850212,
-0.022666510194540024,
-0.016753943637013435,
0.04689899832010269,
-0.005054290406405926,
-0.028047045692801476,
0.0034356124233454466,
-0.0010822556214407086,
-0.024814708158373833,
0.031239228323101997,
0.026380686089396477,
0.030054708942770958,
0.021281221881508827,
-0.0038547120057046413,
-0.02180321514606476,
0.022204747423529625,
-0.02206421084702015,
0.0008457278599962592,
0.010249117389321327,
-0.038687657564878464,
0.018721453845500946,
-0.03350788727402687,
-0.007107125129550695,
-0.0020302487537264824,
0.019333790987730026,
-0.03260444104671478,
-0.005601378623396158,
-0.00476568890735507,
0.03055662289261818,
0.0011406033299863338,
0.0400528684258461,
0.037302371114492416,
-0.0369008369743824,
0.06018972396850586,
-0.0041257464326918125,
-0.011875323951244354,
0.03511401638388634,
0.018440380692481995,
0.02595907635986805,
-0.035334859043359756,
-0.008813638240098953,
-0.06428535282611847,
0.024654095992445946,
0.0606314092874527,
-0.04509210214018822,
0.009400879964232445,
0.002680229488760233,
0.014625821262598038,
0.027123520150780678,
-0.0035435243044048548,
0.020237239077687263,
0.0014492813497781754,
0.0752873420715332,
0.026661759242415428,
0.047942981123924255,
0.005079386290162802,
-0.0385671965777874,
-0.006414481904357672,
0.03862742707133293,
0.03543524444103241,
-0.0025409478694200516,
0.024373022839426994,
0.03810543566942215,
0.03617807850241661,
0.0077295005321502686,
-0.015840457752346992,
0.007614060305058956,
0.0211406871676445,
-0.02595907635986805,
0.023590033873915672,
-0.024433253332972527,
-0.05384550988674164,
-0.05244014412164688,
-0.0038245972245931625,
-0.012437469325959682,
0.028990646824240685,
-0.029010724276304245,
0.025417007505893707,
0.015659768134355545,
0.016804134473204613,
-0.004301417153328657,
0.01700490154325962,
-0.0363386906683445,
-0.015127737075090408,
0.007809807080775499,
0.032644592225551605,
-0.0359773114323616,
-0.0022485819645226,
0.010309346951544285,
-0.006640343926846981,
-0.05292198434472084,
0.04461026191711426,
-0.008281608112156391,
0.01564972847700119,
0.037703901529312134,
-0.040153250098228455,
0.00636930949985981,
-0.010309346951544285,
-0.003784443950280547,
-0.012658311985433102,
-0.061554934829473495,
-0.015509192831814289,
0.03304612636566162,
-0.005375516600906849,
0.006098275072872639,
-0.0235498808324337,
0.016713790595531464,
-0.055933479219675064,
-0.0086229108273983,
0.005375516600906849,
-0.014916932210326195,
0.02479463256895542,
0.02768566645681858,
0.018902143463492393,
0.0058623747900128365,
-0.042321525514125824,
-0.042843516916036606,
0.020317545160651207,
0.0031997121404856443,
-0.008738351054489613,
0.014123905450105667,
-0.047180067747831345,
-0.020799383521080017,
-0.01527831144630909,
-0.03710160404443741,
0.007383178919553757,
-0.007428351324051619,
0.03497347980737686,
-0.01260812021791935,
0.02814742922782898,
0.016191799193620682,
0.047461140900850296,
-0.01691455766558647,
-0.04991048946976662,
-0.018851950764656067,
0.01200582180172205,
0.015569423325359821,
0.0027103445027023554,
-0.010078465566039085,
-0.014244365505874157,
0.018480533733963966,
-0.032363519072532654,
-0.06404443830251694,
0.0036915894597768784,
0.011473791673779488,
0.06733699887990952,
-0.042843516916036606,
0.028548961505293846,
0.0038798078894615173,
-0.0037442906759679317,
0.012517775408923626,
0.0005150909419171512,
0.03292566537857056,
-0.021000150591135025,
-0.024854861199855804,
-0.002609961200505495,
0.06448612362146378,
0.018861988559365273,
-0.014354786835610867,
-0.007619079202413559,
-0.018028808757662773,
-0.0008469826425425708,
-0.027786049991846085,
-0.02379080094397068,
0.0033402484841644764,
-0.006344213616102934,
-0.026159843429923058,
0.010359538719058037,
0.0032850378192961216,
0.0324438251554966,
0.02814742922782898,
-0.0086229108273983,
0.005430727265775204,
0.014816549606621265,
-0.008351876400411129,
-0.018309881910681725,
0.01200582180172205,
0.011825132183730602,
-0.005541148595511913,
-0.02617991901934147,
-0.022224824875593185,
0.01078114751726389,
0.04053470492362976,
0.03852704539895058,
-0.05416673421859741,
-0.00606314092874527,
-0.03404995799064636,
-0.025657927617430687,
0.04364658147096634,
0.01044988352805376,
0.03222298249602318,
0.05063324794173241,
0.0031771259382367134,
-0.023931337520480156,
-0.017607200890779495,
-0.004710478242486715,
-0.012176473625004292,
-0.0014066185103729367,
0.012808887287974358,
0.06071171537041664,
-0.0017416472546756268,
0.0011951866326853633,
-0.045493632555007935,
-0.02228505350649357,
-0.005390573758631945,
0.006424520164728165,
-0.05199845880270004,
-0.0013903062790632248,
0.005285171791911125,
-0.0027178730815649033,
-0.031961988657712936,
0.015499155037105083,
-0.015418848022818565,
-0.04300413280725479,
0.008040688000619411,
0.002197135705500841,
0.010991952382028103,
0.0004856033774558455,
-0.05685700103640556,
-0.014023522846400738,
0.0004523514653556049,
0.03029562719166279,
-0.032383598387241364,
0.03804520517587662,
-0.035354938358068466,
0.04713991656899452,
-0.02501547522842884,
-0.0057619912549853325,
0.0141841359436512,
0.035535626113414764,
-0.040193405002355576,
0.02981378883123398,
-0.024814708158373833,
-0.007960381917655468,
-0.027243981137871742,
0.04995064437389374,
-0.04734068363904953,
0.010761070996522903,
-0.006951531395316124,
0.01468605175614357,
0.03487309813499451,
-0.048183899372816086,
-0.018811797723174095,
-0.02232520654797554,
0.03137976676225662,
0.04143815487623215,
0.03079754300415516,
-0.0002147257764590904,
0.022646432742476463,
0.030918002128601074,
-0.023710494861006737,
-0.009295477531850338,
-0.04609593003988266,
-0.01116260327398777,
0.011704672127962112,
-0.025798464193940163,
-0.015509192831814289,
0.0025120878126472235,
-0.015147813595831394,
0.001957471016794443,
-0.01433471031486988,
0.02959294617176056,
-0.02308811992406845,
-0.025838617235422134,
0.02646099217236042,
-0.008773485198616982,
0.07384182512760162,
-0.002109300345182419,
0.01755700819194317,
0.04272305965423584,
0.025296548381447792,
0.000037231944588711485,
0.0446905680000782,
-0.017426511272788048,
-0.04786267504096031,
-0.0008494922076351941,
0.013882986269891262,
0.029432332143187523,
-0.03352796286344528,
-0.057419147342443466,
-0.00820632092654705,
-0.008863830007612705,
0.018269728869199753,
0.008060765452682972,
-0.06239815056324005,
-0.00976225920021534,
-0.007117163855582476,
-0.00534038245677948,
0.014394939877092838,
0.024373022839426994,
-0.003066704608500004,
0.031901758164167404,
-0.005255056545138359,
0.004389252047985792,
-0.012547890655696392,
0.010841378010809422,
0.0235498808324337,
0.061073094606399536,
-0.050071101635694504,
-0.0039475662633776665,
0.03260444104671478,
-0.014766357839107513,
-0.030998310074210167,
0.009069615043699741,
0.0017077679513022304,
-0.03611784800887108,
-0.0038948652800172567,
0.04123738780617714,
-0.0032599419355392456,
-0.027846278622746468,
-0.035093940794467926,
-0.014003446325659752,
0.01661340706050396,
0.016884442418813705,
-0.0001188912647194229,
-0.01527831144630909,
-0.020698999986052513,
-0.03330712020397186,
-0.008321761153638363,
0.038005050271749496,
0.025376854464411736,
0.01770758256316185,
0.0042788307182490826,
0.014997239224612713,
0.023469574749469757,
-0.05653577670454979,
0.014716166071593761,
0.030897926539182663,
-0.037081528455019,
0.024332869797945023,
-0.00042129543726332486,
0.022164594382047653,
-0.0305967777967453,
0.002114319708198309,
-0.018269728869199753,
0.05954727157950401,
-0.007619079202413559,
0.02228505350649357,
0.018390187993645668,
-0.03154037892818451,
0.02842850051820278
] |
In face of the pressing need of decarbonization in the power sector, the
re-design of electricity market is necessary as a Marco-level approach to
accommodate the high penetration of renewable generations, and to achieve power
system operation security, economic efficiency, and environmental friendliness.
However, existing market design methodologies suffer from the lack of
coordination among energy spot market (ESM), ancillary service market (ASM) and
financial market (FM), i.e., the "joint market", and the lack of reliable
simulation-based verification. To tackle these deficiencies, this two-part
paper develops a paradigmatic theory and detailed methods of the joint market
design using reinforcement-learning (RL)-based simulation. In Part 1, the
theory and framework of this novel market design philosophy are proposed.
First, the controversial market design options while designing the joint market
are summarized as the targeted research questions. Second, the Markov game
model is developed to describe the bidding game in the joint market,
incorporating the market design options to be determined. Third, a framework of
deploying multiple types of RL algorithms to simulate the market model is
developed. Finally, several market operation performance indicators are
proposed to validate the market design based on the simulation results. | [
0.007085894700139761,
-0.03625123202800751,
-0.025188032537698746,
0.018247704952955246,
-0.012734889052808285,
0.012481317855417728,
-0.03993270546197891,
0.01562747359275818,
-0.057025253772735596,
0.029771089553833008,
0.04857289418578148,
-0.02798670157790184,
0.004707494750618935,
-0.0670178234577179,
-0.02081158757209778,
0.05326864868402481,
0.04316338524222374,
0.02417374961078167,
-0.014453534968197346,
-0.026070833206176758,
-0.007283116690814495,
0.008100178092718124,
0.006930935196578503,
0.0855003148317337,
-0.042299363762140274,
0.0029818047769367695,
0.0031226773280650377,
0.02131872996687889,
-0.08888126164674759,
0.044891420751810074,
0.06675485521554947,
0.016801413148641586,
-0.009593428112566471,
0.024774804711341858,
-0.03546234592795372,
0.0025826655328273773,
-0.006358052603900433,
0.02165682427585125,
-0.0014979459811002016,
0.013373511843383312,
0.0131387235596776,
-0.005207592621445656,
-0.04301311820745468,
-0.011006850749254227,
0.028118183836340904,
0.010518492199480534,
-0.03465467318892479,
-0.015458426438272,
-0.014153006486594677,
-0.0131387235596776,
0.03743456304073334,
-0.03225044906139374,
0.010499709285795689,
0.010828412137925625,
-0.010790846310555935,
-0.020417144522070885,
0.05349404737353325,
0.03482372313737869,
-0.04132264852523804,
0.016228530555963516,
0.09571827948093414,
-0.042073968797922134,
-0.03495520353317261,
-0.015777738764882088,
-0.003033458022400737,
-0.06397496908903122,
0.009255333803594112,
0.03255097568035126,
0.0052545503713190556,
-0.02546977810561657,
-0.06667972356081009,
0.019966352730989456,
-0.019853653386235237,
-0.03865545988082886,
-0.0020778717007488012,
0.004392879083752632,
-0.004719234071671963,
0.01628487929701805,
0.01776873879134655,
0.04613110050559044,
-0.0011668952647596598,
0.04338878020644188,
-0.03769752383232117,
-0.025864221155643463,
-0.01624731346964836,
-0.005301507655531168,
0.044215232133865356,
-0.07359188050031662,
0.05026336759328842,
-0.00018210726557299495,
-0.05270515754818916,
0.01019918080419302,
-0.03668324276804924,
0.019966352730989456,
0.029996486380696297,
-0.021093333140015602,
0.016867153346538544,
-0.014350228942930698,
-0.014650756493210793,
0.03615731745958328,
-0.024493061006069183,
0.01898963563144207,
0.017562124878168106,
-0.003233027644455433,
-0.007287812419235706,
-0.028118183836340904,
-0.014585016295313835,
0.059692442417144775,
0.03247584402561188,
0.10338175296783447,
-0.02654040977358818,
0.04286285489797592,
0.021750738844275475,
0.02413618192076683,
-0.08016593754291534,
-0.04380200803279877,
0.00785130262374878,
-0.014284487813711166,
0.023779304698109627,
-0.0015730781015008688,
-0.03760360926389694,
0.007207984570413828,
0.00631109531968832,
-0.060706727206707,
-0.04868559166789055,
0.04534221440553665,
0.007639993913471699,
-0.010593623854219913,
0.06705538928508759,
0.09248759597539902,
-0.06784427165985107,
-0.004597144667059183,
-0.05048876255750656,
-0.031668175011873245,
0.04861046001315117,
0.003646254073828459,
0.008302095346152782,
-0.024718455970287323,
-0.019872436299920082,
-0.012875760905444622,
0.005198201164603233,
-0.054883990436792374,
0.020154181867837906,
0.012640973553061485,
0.010208572261035442,
0.0275734756141901,
-0.039744872599840164,
0.05105225369334221,
-0.02695363573729992,
-0.0065317959524691105,
-0.015805913135409355,
0.057325780391693115,
-0.02798670157790184,
0.017317945137619972,
0.021337512880563736,
-0.011476426385343075,
0.022333012893795967,
-0.011241638101637363,
0.009292899630963802,
0.021375078707933426,
0.042036402970552444,
0.01673567295074463,
0.009710822254419327,
0.04819723218679428,
0.022013701498508453,
-0.003991391975432634,
-0.00378008303232491,
-0.013251421973109245,
-0.059880271553993225,
0.04038349539041519,
-0.03895598649978638,
-0.014885544776916504,
0.002300920197740197,
0.0010172179900109768,
0.0031790263019502163,
-0.010255529545247555,
0.05398240312933922,
-0.022145181894302368,
-0.003256506286561489,
0.020886719226837158,
-0.028869504109025,
-0.007780866697430611,
0.06160831078886986,
0.06127021834254265,
0.010574840940535069,
0.022257881239056587,
0.03364039212465286,
-0.05364431068301201,
0.009973784908652306,
-0.007207984570413828,
0.011438860557973385,
0.05792683735489845,
0.04151047766208649,
-0.03435414656996727,
0.010011350736021996,
-0.011739388108253479,
-0.023272164165973663,
0.009738996624946594,
0.01605948433279991,
0.015477209351956844,
-0.03258854150772095,
-0.016406970098614693,
0.03365917503833771,
0.005752300377935171,
-0.005029154010117054,
-0.01760908216238022,
0.034297797828912735,
-0.01947799324989319,
0.05894112214446068,
-0.044215232133865356,
0.00044140100362710655,
-0.010171006433665752,
-0.020304447039961815,
-0.04049619287252426,
0.017627865076065063,
-0.002491098130121827,
0.009044025093317032,
-0.01696106791496277,
0.001354725449346006,
-0.023197032511234283,
0.019571907818317413,
-0.02824966423213482,
0.02268989011645317,
-0.005897868890315294,
0.009203680790960789,
0.031630609184503555,
-0.049887705594301224,
-0.024643324315547943,
0.014331445097923279,
-0.01936529576778412,
-0.04139778017997742,
0.047032687813043594,
-0.0035711219534277916,
0.019121116027235985,
0.028418712317943573,
0.005432988982647657,
0.033227164298295975,
0.033001769334077835,
0.03275759145617485,
-0.06682999432086945,
-0.0043717483058571815,
-0.07377970963716507,
-0.032926637679338455,
-0.0015120332827791572,
0.012255921959877014,
-0.019384078681468964,
-0.03713403269648552,
0.0855003148317337,
0.08129291981458664,
0.007583645172417164,
-0.046769723296165466,
-0.03439171239733696,
-0.030221881344914436,
-0.014707106165587902,
-0.005151243880391121,
0.020905502140522003,
0.06063159555196762,
-0.044478196650743484,
-0.01891450211405754,
0.005982392467558384,
0.025807872414588928,
0.054207801818847656,
0.047408346086740494,
0.02806183509528637,
-0.030860504135489464,
0.04057132825255394,
0.03373430669307709,
0.015195464715361595,
0.02546977810561657,
-0.019534341990947723,
-0.013683430850505829,
-0.05770144239068031,
-0.01651027612388134,
-0.004653493408113718,
0.00756016606464982,
-0.03702133521437645,
-0.01825709640979767,
-0.0001816670410335064,
0.02150655910372734,
-0.038880854845047,
-0.018238313496112823,
-0.011251029558479786,
0.062397196888923645,
-0.03591313585639,
-0.06036863103508949,
-0.03767874091863632,
0.00484132394194603,
-0.03341499716043472,
-0.08542518317699432,
0.0035382516216486692,
-0.007377031724900007,
0.03290785476565361,
-0.008208180777728558,
-0.03598827123641968,
0.05668715760111809,
0.008588536642491817,
0.05837763100862503,
-0.0115703409537673,
-0.02950812689960003,
0.05338134616613388,
0.0026812762953341007,
0.028080618008971214,
-0.009898652322590351,
0.03482372313737869,
-0.05507181957364082,
0.0012232442386448383,
0.02520681545138359,
0.016021916642785072,
0.005540991201996803,
-0.0021330469753593206,
0.01776873879134655,
-0.04308824986219406,
-0.013486209325492382,
-0.04064645990729332,
-0.049850139766931534,
0.06585327535867691,
0.020604975521564484,
0.005503425374627113,
-0.014669540338218212,
0.007959305308759212,
0.026521626859903336,
-0.014246921986341476,
-0.10788967460393906,
0.004315399099141359,
0.013148115016520023,
-0.03382822126150131,
0.017834478989243507,
0.04143534600734711,
-0.007456859573721886,
0.027103900909423828,
-0.05755117908120155,
0.024643324315547943,
-0.003056936664506793,
-0.004244962707161903,
-0.009851695038378239,
-0.014791629277169704,
0.029958918690681458,
0.02528194710612297,
-0.005719430278986692,
-0.007184505928307772,
0.04312581941485405,
-0.04023323208093643,
-0.005216984078288078,
0.009823520667850971,
-0.011692430824041367,
-0.03734064847230911,
-0.04395227134227753,
0.026014484465122223,
0.03095441870391369,
0.07242733240127563,
0.0009908044012263417,
-0.012133832089602947,
-0.008189397864043713,
0.014453534968197346,
0.036664459854364395,
-0.030559975653886795,
-0.03283272311091423,
-0.047333214432001114,
0.007621210999786854,
-0.03465467318892479,
0.023535126820206642,
-0.049361780285835266,
-0.011354336515069008,
-0.003942086827009916,
-0.04804696887731552,
0.037115249782800674,
-0.010490317828953266,
-0.026671890169382095,
0.01864214986562729,
0.006541187409311533,
0.010133440606296062,
0.01746821030974388,
0.05353161320090294,
-0.0023513995110988617,
-0.008720017969608307,
0.027122683823108673,
-0.02299041859805584,
0.016453927382826805,
-0.044853854924440384,
0.030710240826010704,
0.012903936207294464,
0.005672472529113293,
0.01791900210082531,
0.026221098378300667,
-0.049775008112192154,
-0.0012561145704239607,
0.02302798442542553,
-0.05127764865756035,
0.01067814789712429,
0.07261516153812408,
-0.019045984372496605,
-0.08324635028839111,
-0.042336929589509964,
0.002927803434431553,
-0.0024887502659112215,
-0.02291528694331646,
0.02669067308306694,
0.033076900988817215,
0.007996871136128902,
0.047521043568849564,
-0.011673647910356522,
0.013373511843383312,
-0.022821370512247086,
0.05571044236421585,
-0.041961271315813065,
-0.009983176365494728,
0.005249854642897844,
-0.07201410830020905,
-0.046844854950904846,
-0.025413427501916885,
0.0010847195517271757,
-0.03767874091863632,
0.004385835491120815,
-0.049887705594301224,
-0.012669147923588753,
-0.010537275113165379,
-0.07858816534280777,
0.01658540777862072,
-0.019609473645687103,
-0.06525221467018127,
-0.010114656761288643,
-0.006320486776530743,
0.054282933473587036,
0.03764117509126663,
-0.008100178092718124,
0.008208180777728558,
0.03497398644685745,
-0.03784778714179993,
-0.009973784908652306,
0.030447278171777725,
0.04136021435260773,
0.027592258527874947,
0.001148112234659493,
-0.057288214564323425,
-0.021074550226330757,
-0.02672823891043663,
0.023403644561767578,
0.077761709690094,
-0.01204930804669857,
0.0025404037442058325,
0.019722172990441322,
-0.05124008283019066,
-0.014594407752156258,
0.047145385295152664,
0.0051841139793396,
-0.029771089553833008,
0.0068229325115680695,
-0.0647638589143753,
0.020849153399467468,
-0.001419292064383626,
-0.0507141575217247,
0.028080618008971214,
-0.07081199437379837,
0.034485626965761185,
0.020379578694701195,
0.016021916642785072,
0.0034279015380889177,
-0.039707306772470474,
0.05413266643881798,
0.03557504341006279,
0.00834905356168747,
0.015796521678566933,
0.06852046400308609,
0.005728821735829115,
0.0008775193127803504,
0.038223449140787125,
-0.05616123601794243,
-0.023854438215494156,
0.020304447039961815,
0.027047550305724144,
-0.0032189402263611555,
0.015608690679073334,
0.006099786143749952,
0.07039876282215118,
0.006583448965102434,
-0.014265704900026321,
0.019130507484078407,
-0.08572570979595184,
0.024230098351836205,
-0.007146939635276794,
0.023516343906521797,
-0.009537079371511936,
-0.00917081069201231,
-0.011476426385343075,
0.02913246676325798,
0.026559192687273026,
0.042374495416879654,
0.021262381225824356,
0.004496185574680567,
-0.006015262566506863,
-0.034786157310009,
0.030747806653380394,
-0.04019566625356674,
0.047182951122522354,
-0.027179032564163208,
0.01757151633501053,
-0.012321662157773972,
-0.0414729118347168,
0.017749955877661705,
-0.04365174099802971,
-0.005409510340541601,
-0.010603015311062336,
0.01886754482984543,
-0.014678931795060635,
0.05567287653684616,
-0.00021351012401282787,
0.01699863374233246,
-0.003857563016936183,
-0.025995701551437378,
0.03486128896474838,
0.030597541481256485,
0.0333210788667202,
-0.026070833206176758,
-0.01477284636348486,
0.028606541454792023,
0.0013465078081935644,
-0.0009115635184571147,
-0.007837215438485146,
0.052517328411340714,
0.04560517519712448,
-0.012575233355164528,
-0.04894855618476868,
0.03377187252044678,
0.028738023713231087,
-0.04361417517066002,
0.01734612137079239,
0.047032687813043594,
-0.005691255442798138,
0.06160831078886986,
-0.0296208243817091,
-0.0459057055413723,
0.03750969469547272,
-0.028662890195846558,
-0.049361780285835266,
-0.013072983361780643,
-0.05871572718024254,
0.0061937011778354645,
0.04305068403482437,
0.004615927580744028,
-0.03557504341006279,
-0.002367834560573101,
0.07629663497209549,
-0.025563692674040794,
0.02706633321940899,
0.02310311608016491,
0.008226963691413403,
0.0555226132273674,
-0.022276664152741432,
0.020492276176810265,
0.03142399340867996,
-0.017627865076065063,
0.003197809448465705,
0.024380361661314964,
0.00285032344982028,
-0.04278772324323654,
-0.012481317855417728,
0.03069145791232586,
-0.017637256532907486,
-0.017364904284477234,
-0.03228801488876343,
-0.00143690116237849,
-0.01760908216238022,
0.013899436220526695,
-0.03024066425859928,
0.020905502140522003,
0.0303533636033535,
0.05890355631709099,
0.0381295345723629,
0.035518694669008255,
0.008602623827755451,
-0.029226381331682205,
-0.018444927409291267,
-0.04507925361394882,
-0.0037307776510715485,
-0.06010567024350166,
0.044741157442331314,
-0.011260421015322208,
0.021750738844275475,
-0.03993270546197891,
-0.00044492282904684544,
-0.0009479556465521455,
-0.012293487787246704,
0.028493843972682953,
0.028925852850079536,
0.008541579358279705,
0.04372687265276909,
-0.006254746112972498,
-0.009673256427049637,
0.006456663832068443,
0.0029348470270633698,
-0.0030052834190428257,
0.025413427501916885,
-0.024230098351836205,
0.0006949718226678669,
0.02768617309629917,
0.007546078879386187,
0.022333012893795967,
-0.025713955983519554,
0.06780670583248138,
-0.06953474879264832,
0.019647041335701942,
0.06870829313993454,
0.001618861686438322,
0.000549109885469079,
-0.0385051928460598,
0.01758090779185295,
0.04601840302348137,
-0.011222855187952518,
0.0035382516216486692,
-0.006484838202595711,
0.03221288323402405,
-0.003326942678540945,
0.047032687813043594,
-0.06130778416991234,
0.029940135776996613,
-0.01391821913421154,
-0.02161925844848156,
0.025845438241958618,
-0.013983959332108498,
-0.059842705726623535,
0.021412644535303116,
-0.0004780865856446326,
0.004935238976031542,
-0.03662689030170441,
0.015909219160676003,
0.03747212886810303,
0.0003847584594041109,
-0.03283272311091423,
-0.03805440291762352,
-0.025413427501916885,
0.005573861766606569,
-0.024305230006575584,
-0.026033267378807068,
0.00287380232475698,
0.022502059116959572,
-0.05770144239068031,
-0.0052545503713190556,
0.028005484491586685,
0.03031579777598381,
-0.0034654675982892513,
0.017956567928195,
0.03623244911432266,
0.008874977938830853,
0.05274272337555885,
-0.0073817274533212185,
-0.010462143458425999,
-0.03781022131443024,
0.003092154860496521,
0.04556760936975479,
0.0244367104023695,
0.0016975156031548977,
0.024718455970287323,
0.010480926372110844,
0.0503384992480278,
-0.024812372401356697,
0.024586975574493408,
-0.024943852797150612,
0.005508121103048325,
0.006329878233373165,
-0.012575233355164528,
0.012819412164390087,
0.014744671992957592,
0.014876153320074081,
-0.014725889079272747,
-0.0014322054339572787,
0.025225598365068436,
0.024605758488178253,
0.022821370512247086,
0.02306555025279522,
0.038411278277635574,
-0.03632636368274689,
0.028963418677449226,
-0.05078928917646408,
0.005569166038185358,
0.020304447039961815,
-0.027047550305724144,
0.018351012840867043,
0.049436911940574646,
-0.010340053588151932,
-0.004021914675831795,
-0.035856787115335464,
0.05837763100862503,
-0.003350421553477645,
-0.012058699503540993,
-0.02680337242782116,
-0.011983567848801613,
-0.011053808033466339,
-0.023328512907028198,
-0.02669067308306694,
0.009861086495220661,
0.0006574057624675333,
-0.016979850828647614,
-0.00043230297160334885,
-0.022276664152741432,
-0.00964508205652237,
0.024793587625026703,
-0.021375078707933426,
0.005400118883699179,
0.04387713968753815,
-0.02398591861128807,
0.017796913161873817,
-0.052141666412353516,
-0.023234598338603973,
0.025450995191931725,
0.04094698652625084,
0.013608299195766449,
0.019759738817811012,
-0.01902720145881176,
-0.0031038944143801928,
-0.01252827513962984,
0.0040242625400424,
-0.0014122484717518091,
-0.010593623854219913,
0.010443359613418579,
0.03782900422811508,
0.001354725449346006,
0.00434592179954052,
-0.047145385295152664,
-0.03024066425859928,
-0.005555078852921724,
0.018426144495606422,
-0.012941502034664154,
-0.026183532550930977,
-0.07347918301820755,
0.011119549162685871,
-0.011748779565095901,
-0.01754334196448326,
-0.018623365089297295,
-0.06153317913413048,
-0.011664256453514099,
0.013082374818623066,
0.026596758514642715,
-0.06649189442396164,
0.021938569843769073,
0.024624541401863098,
-0.006691451650112867,
-0.010443359613418579,
0.017402470111846924,
-0.02002270147204399,
0.016566624864935875,
-0.02577030658721924,
0.02143142744898796,
-0.01269732229411602,
0.02047349326312542,
0.003557034768164158,
0.005400118883699179,
-0.03183722123503685,
0.0000961162440944463,
-0.024117399007081985,
-0.006024654023349285,
0.0025051855482161045,
-0.034072402864694595,
0.02779887244105339,
-0.02650284394621849,
-0.04102211818099022,
0.03390335291624069,
0.007527295965701342,
-0.023535126820206642,
0.03730308264493942,
0.0016740368446335196,
-0.014998243190348148,
0.07006067037582397,
-0.0008440620149485767,
0.0014204659964889288,
0.0037519086617976427,
-0.012199572287499905,
0.014312662184238434,
-0.027629824355244637,
-0.002556838793680072,
0.0042707896791398525,
0.04004540294408798,
0.011504600755870342,
-0.016181573271751404,
-0.026972418650984764,
-0.004057132638990879,
0.012706713750958443,
-0.0041557434014976025,
-0.0024817066732794046,
0.033302295953035355,
0.0033645087387412786,
-0.0059730010107159615,
-0.005212288349866867,
0.04019566625356674,
0.026972418650984764,
-0.039294082671403885,
0.0462813638150692,
0.016604190692305565,
-0.06596597284078598,
0.044403061270713806,
0.022483276203274727,
0.002113089896738529,
0.024549409747123718,
-0.011128940619528294,
0.004470359068363905,
0.01929016411304474,
0.021036984398961067,
-0.019534341990947723,
0.018050484359264374,
-0.047070253640413284,
0.015796521678566933,
-0.030034052208065987,
0.007480338215827942,
-0.0017620822181925178,
0.012096266262233257,
0.01528937928378582,
0.017101941630244255,
-0.02154412493109703,
-0.06709295511245728,
-0.014547450467944145,
0.04556760936975479,
0.03993270546197891,
0.06021836772561073,
0.00816122256219387,
-0.0010225006844848394,
0.01534572895616293,
-0.07400510460138321,
-0.027216598391532898,
0.07062415778636932,
-0.02124359831213951,
-0.028662890195846558,
-0.015655647963285446,
-0.03854275867342949,
0.04162317514419556,
0.03076658956706524,
-0.024868721142411232,
-0.008658972568809986,
0.03446684405207634,
0.0050009796395897865,
0.018200747668743134,
-0.014509884640574455,
0.017327336594462395,
0.030710240826010704,
-0.02539464458823204,
-0.027460778132081032,
-0.03625123202800751,
0.022708673030138016,
0.0004340638988651335,
0.06311095505952835,
-0.019384078681468964,
0.039707306772470474,
-0.03373430669307709,
-0.03854275867342949,
-0.0017702997429296374,
0.015524167567491531,
-0.044327929615974426,
-0.024643324315547943,
0.021036984398961067,
-0.004972804803401232,
0.0055597745813429356,
-0.03031579777598381,
0.01864214986562729,
0.006790062412619591,
0.012077483348548412,
0.019045984372496605,
-0.011711213737726212,
0.0055269040167331696,
-0.00903463363647461,
0.06596597284078598,
0.0021541777532547712,
-0.028043052181601524,
-0.004653493408113718,
0.008992371149361134,
0.04793427139520645,
-0.002290354808792472,
0.03347134590148926,
0.0007836041622795165,
-0.0011827433481812477,
-0.009898652322590351,
0.011720605194568634,
-0.06799453496932983,
0.007564861793071032,
0.004470359068363905,
-0.004092350602149963,
0.013242030516266823,
0.028850721195340157,
-0.0007665820885449648,
0.01378673780709505,
-0.0414729118347168,
0.023384861648082733,
0.000560849264729768,
0.04519195109605789,
0.049399346113204956,
0.03405361995100975,
-0.004700451157987118,
-0.002451184205710888,
-0.007569557521492243,
-0.01500763464719057,
-0.005672472529113293,
0.027517126873135567,
-0.049887705594301224,
-0.029151249676942825,
0.019008418545126915,
-0.014660147950053215,
-0.04511681944131851,
0.024624541401863098,
0.012077483348548412,
-0.004545491188764572,
-0.003432597266510129,
-0.00012179615441709757,
0.04658189415931702,
0.011410685256123543,
-0.009945609606802464,
0.02447427809238434,
-0.014284487813711166,
0.030973203480243683,
0.0015589907998219132,
-0.02028566412627697,
-0.016021916642785072,
0.04113481566309929,
-0.039369214326143265,
-0.02753590978682041,
-0.011185289360582829,
-0.013627082109451294,
-0.023478776216506958,
0.019205639138817787,
0.001124633476138115,
-0.027629824355244637,
-0.017890827730298042,
-0.002862063003703952,
0.05638663098216057,
-0.0014909023884683847,
-0.03694620355963707,
-0.026596758514642715,
0.005911956075578928,
-0.04060889407992363,
0.010349445044994354,
-0.011307379230856895,
0.05770144239068031,
-0.006691451650112867,
0.01773117296397686,
-0.023741738870739937,
0.02684093825519085,
0.031668175011873245,
-0.01094111055135727,
0.029695957899093628,
-0.024737238883972168,
-0.0373782142996788,
0.0046135797165334225,
-0.020492276176810265,
-0.03249462693929672,
-0.012763063423335552,
-0.014725889079272747,
-0.0017092549242079258,
-0.011166506446897984,
0.026634324342012405,
-0.0036532976664602757,
0.054358065128326416,
0.03713403269648552,
-0.042336929589509964,
0.054320499300956726,
-0.057288214564323425,
0.002810409525409341,
0.025450995191931725,
-0.025789089500904083,
-0.018548233434557915,
-0.030146749690175056,
-0.025563692674040794,
-0.06495168805122375,
0.004550186917185783,
0.04583057388663292,
-0.013589516282081604,
0.0062453546561300755,
-0.04879828914999962,
-0.01734612137079239,
-0.004010174889117479,
0.005897868890315294,
-0.03345256298780441,
0.022426927462220192,
-0.062322065234184265,
-0.02062375843524933,
0.01955312490463257,
0.01504520047456026,
-0.041961271315813065,
0.014369011856615543,
0.010255529545247555,
0.011964784935116768,
0.022389361634850502,
0.002901976928114891,
-0.025112899020314217,
-0.007146939635276794,
0.04549247771501541,
0.034372929483652115,
0.03743456304073334,
0.015683822333812714,
-0.004996283911168575,
-0.08985797315835953,
-0.0071281567215919495,
-0.019703390076756477,
0.022276664152741432,
0.010509100742638111,
0.027272947132587433,
0.021938569843769073,
0.03005283512175083,
-0.02654040977358818,
-0.01673567295074463,
-0.03786657005548477,
-0.011805129237473011,
-0.0301655326038599,
0.015308162197470665,
0.006635102443397045,
-0.02306555025279522,
-0.004869498312473297,
0.004721581935882568,
0.023159464821219444,
0.01408726628869772,
-0.0270287673920393,
0.016519667580723763,
-0.00631109531968832,
-0.03745334595441818,
0.0603310652077198,
-0.02428644709289074,
-0.0028174533508718014,
0.004082959145307541,
0.0058696940541267395,
-0.018670324236154556,
0.008494621142745018,
-0.003899824805557728,
-0.020961852744221687,
0.006019958294928074,
-0.08865585923194885,
0.04316338524222374,
0.0030405016150325537,
0.005437684711068869,
0.007287812419235706
] |
Our research investigates the recommendation of code examples to aid software
developers, a practice that saves developers significant time by providing
ready-to-use code snippets. The focus of our study is Stack Overflow, a
commonly used resource for coding discussions and solutions, particularly in
the context of the Java programming language. We applied BERT, a powerful Large
Language Model (LLM) that enables us to transform code examples into numerical
vectors by extracting their semantic information. Once these numerical
representations are prepared, we identify Approximate Nearest Neighbors (ANN)
using Locality-Sensitive Hashing (LSH). Our research employed two variants of
LSH: Random Hyperplane-based LSH and Query-Aware LSH. We rigorously compared
these two approaches across four parameters: HitRate, Mean Reciprocal Rank
(MRR), Average Execution Time, and Relevance. Our study revealed that the
Query-Aware (QA) approach showed superior performance over the Random
Hyperplane-based (RH) method. Specifically, it exhibited a notable improvement
of 20\% to 35\% in HitRate for query pairs compared to the RH approach.
Furthermore, the QA approach proved significantly more time-efficient, with its
speed in creating hashing tables and assigning data samples to buckets being at
least four times faster. It can return code examples within milliseconds,
whereas the RH approach typically requires several seconds to recommend code
examples. Due to the superior performance of the QA approach, we tested it
against PostFinder and FaCoY, the state-of-the-art baselines. Our QA method
showed comparable efficiency proving its potential for effective code
recommendation. | [
0.004788603633642197,
0.015749774873256683,
-0.035072211176157,
0.016793275251984596,
-0.0020151487551629543,
-0.002423042431473732,
0.01821703463792801,
0.02605212666094303,
-0.05235186591744423,
0.04892069473862648,
-0.0163776446133852,
-0.014759334735572338,
0.007896996103227139,
-0.009285381063818932,
0.03102201782166958,
0.0784570500254631,
0.014494038186967373,
0.002453993773087859,
-0.05065396800637245,
-0.05327155813574791,
-0.04460520297288895,
0.008047330193221569,
-0.01804901286959648,
0.04403923824429512,
0.05889584869146347,
0.023965127766132355,
0.01345053780823946,
-0.009886720217764378,
-0.06261000037193298,
0.0403604581952095,
-0.0030199596658349037,
0.007384088821709156,
0.02446034736931324,
-0.05380215123295784,
-0.017421144992113113,
-0.0024893665686249733,
0.04510042443871498,
0.04375625401735306,
-0.03689391538500786,
0.019720381125807762,
0.01452056784182787,
-0.0016028337413445115,
-0.023416846990585327,
0.004793025553226471,
0.011443126946687698,
-0.013087966479361057,
0.005885163322091103,
-0.018270093947649002,
0.013875013217329979,
-0.07796183228492737,
0.06289298087358475,
0.030049262568354607,
0.014812394045293331,
-0.038910169154405594,
-0.01306143682450056,
0.03132268786430359,
0.02614055946469307,
0.027856145054101944,
0.02591063641011715,
-0.042093727737665176,
-0.010532275773584843,
0.020675448700785637,
0.0037362605798989534,
-0.025875262916088104,
0.005438580643385649,
-0.00018156236910726875,
-0.01851770281791687,
0.0054872180335223675,
0.021966559812426567,
-0.018075542524456978,
-0.03466542437672615,
0.010125487111508846,
0.01391038578003645,
0.04234134033322334,
-0.026335110887885094,
0.037000034004449844,
0.029447924345731735,
-0.003464331617578864,
-0.038521066308021545,
0.02591063641011715,
0.06140732392668724,
-0.019596576690673828,
0.013547813519835472,
0.02042783983051777,
0.01995030604302883,
-0.0335511788725853,
-0.001498925848864019,
-0.07223142683506012,
-0.011071711778640747,
-0.009320754557847977,
-0.05065396800637245,
-0.0125662162899971,
0.05394364520907402,
0.018782999366521835,
-0.07300962507724762,
0.028386738151311874,
-0.03164104372262955,
-0.003159240586683154,
-0.043402526527643204,
0.1036425456404686,
-0.02141827903687954,
-0.03781361132860184,
-0.0125662162899971,
0.004775338806211948,
0.05465110391378403,
-0.06154881417751312,
-0.04067881405353546,
-0.007118792273104191,
0.017023200169205666,
0.11609379947185516,
-0.01215058472007513,
-0.018340839073061943,
-0.011487343348562717,
-0.03406408429145813,
-0.01927822083234787,
0.005186548922210932,
-0.00024940643925219774,
-0.07293888181447983,
0.0010656081140041351,
-0.03629257529973984,
0.04916830733418465,
0.050547849386930466,
0.037459880113601685,
-0.040891051292419434,
-0.013008377514779568,
0.02750241570174694,
0.030615229159593582,
0.0125662162899971,
0.02681264467537403,
0.021842753514647484,
0.029624788090586662,
-0.031039703637361526,
0.0042712753638625145,
-0.02033940702676773,
0.0571625754237175,
0.058789730072021484,
0.022444093599915504,
0.05850674584507942,
0.04028971120715141,
-0.018729940056800842,
-0.02987239882349968,
-0.03717689961194992,
-0.06940159201622009,
-0.01230976264923811,
-0.010815258137881756,
0.01436138991266489,
0.0027016038075089455,
0.04626772925257683,
-0.04067881405353546,
-0.002964689629152417,
-0.05249335616827011,
0.00898913387209177,
-0.02803300879895687,
0.018102072179317474,
0.051078442484140396,
0.01890680566430092,
0.027237119153141975,
0.06618265807628632,
0.01783677563071251,
-0.014069563709199429,
0.06303447484970093,
-0.0411386601626873,
0.036398693919181824,
0.02773233875632286,
0.009011241607367992,
0.025857577100396156,
-0.016289211809635162,
-0.031977083534002304,
-0.12904027104377747,
0.04262432083487511,
0.03535519540309906,
0.009382656775414944,
-0.0342940092086792,
0.03077440708875656,
-0.05249335616827011,
0.006230048835277557,
0.045065052807331085,
-0.043402526527643204,
-0.02286856807768345,
-0.010779885575175285,
-0.04863771051168442,
-0.007583061698824167,
0.04000673070549965,
0.013247144408524036,
0.03406408429145813,
-0.00020270318782422692,
0.10236912220716476,
-0.0063317460007965565,
0.035921160131692886,
0.014794707298278809,
-0.044994305819272995,
-0.02704256772994995,
0.021152982488274574,
0.013653932139277458,
0.02674189768731594,
-0.01653682254254818,
-0.0701090544462204,
-0.015679029747843742,
0.008060595020651817,
0.027449356392025948,
-0.0373183898627758,
-0.0776788517832756,
-0.0198088139295578,
0.008073859848082066,
0.06880025565624237,
0.028298305347561836,
0.025733770802617073,
0.005137911066412926,
-0.0018073332030326128,
-0.019985677674412727,
0.012858042493462563,
0.0027966685593128204,
-0.0991148129105568,
-0.038662560284137726,
0.011062868870794773,
-0.013477067463099957,
-0.009020084515213966,
0.020993804559111595,
-0.031128136441111565,
-0.02216111123561859,
-0.0035218126140534878,
-0.03367498517036438,
0.053342305123806,
0.007826250046491623,
-0.0027502416633069515,
-0.03468311205506325,
0.004047984257340431,
0.01812860183417797,
0.025539221242070198,
-0.048283983021974564,
0.056808847934007645,
0.010717983357608318,
-0.04071418568491936,
-0.0163776446133852,
-0.005403207615017891,
-0.05684421956539154,
0.020250974223017693,
-0.03268454223871231,
-0.018694568425416946,
0.007286813575774431,
-0.010992122814059258,
0.008281676098704338,
-0.027413982897996902,
-0.03979449346661568,
0.04478206858038902,
0.0006488712970167398,
-0.010037055239081383,
0.00037141525535844266,
0.05355454236268997,
-0.015316457487642765,
0.0005645843339152634,
-0.0434378981590271,
-0.009992838837206364,
0.03556743264198303,
-0.024212736636400223,
0.0285636018961668,
0.03696466237306595,
-0.010187390260398388,
0.02338147535920143,
-0.02660040743649006,
0.024371914565563202,
0.00970985647290945,
-0.03443549945950508,
0.0232399832457304,
-0.019012924283742905,
0.05051247403025627,
0.06268074363470078,
-0.021895812824368477,
0.015166123397648335,
0.025043999776244164,
0.037212271243333817,
-0.051856644451618195,
-0.03480691462755203,
-0.0019355599069967866,
0.002196434885263443,
-0.04319028928875923,
-0.029076509177684784,
-0.056207507848739624,
0.0403958298265934,
0.006291951518505812,
0.008100389502942562,
0.023823635652661324,
0.0289527028799057,
0.025503847748041153,
-0.01280498318374157,
-0.044463712722063065,
-0.028086068108677864,
-0.039511509239673615,
-0.03392259404063225,
-0.014237584546208382,
-0.036752425134181976,
-0.01890680566430092,
-0.043473269790410995,
0.025698399171233177,
0.037459880113601685,
0.022815508767962456,
-0.03922852501273155,
0.06264537572860718,
-0.0024141990579664707,
-0.046515338122844696,
-0.051396798342466354,
-0.04711667820811272,
0.0012104157358407974,
0.01911904290318489,
-0.041633881628513336,
-0.005933800712227821,
0.00018128601368516684,
0.06253925710916519,
-0.06724385172128677,
-0.018853746354579926,
0.04679832234978676,
-0.01662525348365307,
0.0026419120840728283,
-0.028457483276724815,
0.020463211461901665,
0.05076008662581444,
0.010355411097407341,
0.018163975328207016,
-0.0010429472895339131,
-0.0761931836605072,
0.023682143539190292,
0.019826499745249748,
-0.11177830398082733,
0.06207940727472305,
0.02545078843832016,
0.007238175719976425,
0.03270222991704941,
0.018393898382782936,
0.016519134864211082,
-0.002575587946921587,
0.002203067298978567,
-0.026989508420228958,
-0.06819891929626465,
-0.04538340866565704,
0.011558089405298233,
-0.01353012677282095,
-0.043933119624853134,
0.044994305819272995,
-0.0038445901591330767,
0.001997462473809719,
-0.06352969259023666,
0.0327906608581543,
-0.02171894907951355,
-0.02530929632484913,
0.02950098365545273,
-0.02262095734477043,
0.019402025267481804,
0.044392965734004974,
0.001643733587116003,
-0.01964963600039482,
0.001165094319730997,
-0.022532526403665543,
0.02805069461464882,
-0.004136416129767895,
0.04556027054786682,
-0.05907271057367325,
-0.04927442595362663,
0.009267695248126984,
-0.00013409914390649647,
0.07300962507724762,
0.02888195775449276,
-0.0472227968275547,
0.0037716336082667112,
0.013875013217329979,
-0.04839010164141655,
-0.022674016654491425,
-0.015537538565695286,
0.0032233537640422583,
0.013247144408524036,
-0.005204235203564167,
-0.003212299896404147,
0.05373140797019005,
0.011973720043897629,
-0.014423292130231857,
-0.012371665798127651,
-0.01402534730732441,
0.02385900914669037,
-0.0236290842294693,
0.012044466100633144,
0.02591063641011715,
-0.0015000312123447657,
0.02033940702676773,
0.0012944263871759176,
-0.025733770802617073,
-0.011398911476135254,
0.016271525993943214,
0.00019358361896593124,
-0.0057348283007740974,
-0.03337431326508522,
-0.005005262792110443,
0.02361139841377735,
-0.003756157821044326,
-0.012070995755493641,
-0.06646564602851868,
0.046444594860076904,
0.029518669471144676,
-0.03512527048587799,
-0.0001437023311154917,
0.013468224555253983,
-0.0426596961915493,
-0.0037207850255072117,
0.03542594239115715,
-0.008781317621469498,
0.008714993484318256,
-0.05426200106739998,
-0.02431885525584221,
0.015396046452224255,
0.023576024919748306,
-0.010947906412184238,
0.011027496308088303,
-0.07591020315885544,
0.029925458133220673,
-0.033710356801748276,
0.004412767011672258,
0.039122406393289566,
0.01667831279337406,
0.022744763642549515,
0.053696032613515854,
0.017412301152944565,
-0.00879900436848402,
-0.04174000024795532,
0.023894380778074265,
0.02529161050915718,
0.025786830112338066,
-0.03685854375362396,
-0.0033449481707066298,
0.0018791843904182315,
0.002491577295586467,
0.0008041803375817835,
-0.062362391501665115,
0.012866885401308537,
0.035178329795598984,
0.0525641031563282,
0.006862339098006487,
0.03781361132860184,
-0.015404890291392803,
0.01299953367561102,
-0.028386738151311874,
-0.057940781116485596,
-0.010231605730950832,
-0.01538720354437828,
-0.017934050410985947,
0.017200063914060593,
-0.002982376143336296,
-0.06441401690244675,
-0.025804517790675163,
-0.0030730192083865404,
-0.01078872848302126,
0.02515011839568615,
-0.021772008389234543,
-0.04092642292380333,
0.0017918575322255492,
-0.08432894945144653,
-0.00937381386756897,
0.03450624644756317,
-0.03535519540309906,
-0.005553542636334896,
0.004364129155874252,
-0.018782999366521835,
-0.043614763766527176,
-0.005456266924738884,
0.034470874816179276,
-0.0023102913983166218,
-0.05277634039521217,
0.01062955055385828,
0.029677847400307655,
0.024336542934179306,
-0.028705094009637833,
0.015413733199238777,
0.011115928180515766,
-0.006977301090955734,
-0.030279187485575676,
0.02805069461464882,
-0.02408893220126629,
0.03487766161561012,
-0.03254305198788643,
0.048743829131126404,
0.0013939125929027796,
-0.002193118678405881,
-0.008471805602312088,
0.008883015252649784,
0.06105359271168709,
0.011496186256408691,
-0.00879900436848402,
0.03017306886613369,
0.01698782667517662,
0.014883140102028847,
0.0073000784032046795,
0.019402025267481804,
0.03618645668029785,
-0.05387289822101593,
-0.011213203892111778,
-0.027926890179514885,
-0.03947613760828972,
-0.008613296784460545,
-0.0010224973084405065,
-0.06034613773226738,
-0.024053558707237244,
0.018694568425416946,
0.04442834109067917,
-0.029377177357673645,
-0.019614262506365776,
-0.01888911798596382,
0.01730618253350258,
-0.02301006019115448,
0.04212910309433937,
-0.03183559328317642,
0.01713816076517105,
-0.03873330354690552,
-0.015245712362229824,
0.05051247403025627,
-0.02431885525584221,
-0.005960330367088318,
-0.012185957282781601,
-0.07576870918273926,
0.0007317764684557915,
-0.0006422388833016157,
-0.017695283517241478,
0.004384026397019625,
-0.005770201329141855,
-0.014547097496688366,
0.03643406927585602,
0.0075476886704564095,
0.024973254650831223,
-0.011230889707803726,
0.02187812700867653,
0.05709183216094971,
-0.041174035519361496,
0.03510758653283119,
0.006663366686552763,
-0.018765313550829887,
0.02955404296517372,
-0.055676914751529694,
-0.03710615262389183,
-0.06696086376905441,
-0.0270602535456419,
0.02278013527393341,
0.037212271243333817,
0.01773950085043907,
-0.0186591949313879,
-0.060381509363651276,
0.035532061010599136,
-0.0028895223513245583,
0.01766875386238098,
-0.028687406331300735,
-0.02263864502310753,
0.035549744963645935,
-0.024796390905976295,
0.014502881094813347,
0.012318606488406658,
-0.023682143539190292,
0.040112849324941635,
0.0342586375772953,
-0.0036677257157862186,
-0.017872149124741554,
-0.004222637973725796,
-0.007914681918919086,
-0.016183093190193176,
0.030066950246691704,
-0.026671152561903,
-0.01108939852565527,
0.030650602653622627,
-0.015166123397648335,
-0.04174000024795532,
0.007826250046491623,
-0.024177365005016327,
0.0031481864862143993,
0.022196482867002487,
0.010337724350392818,
-0.010373097844421864,
-0.014485195279121399,
-0.002675074152648449,
-0.0010213919449597597,
-0.006375961937010288,
-0.04962815344333649,
0.03468311205506325,
0.011902974918484688,
-0.051927391439676285,
0.020533958449959755,
0.007627277635037899,
-0.01653682254254818,
-0.045065052807331085,
0.009860190562903881,
0.025804517790675163,
0.07170083373785019,
0.0023434534668922424,
-0.026883389800786972,
-0.046055492013692856,
-0.01055880542844534,
0.01874762773513794,
-0.0167667455971241,
0.038662560284137726,
-0.026228992268443108,
-0.02385900914669037,
-0.029306432232260704,
0.01989724673330784,
0.038061220198869705,
-0.005911692976951599,
0.022001933306455612,
-0.026918763294816017,
-0.019065983593463898,
0.004540993832051754,
0.06002778187394142,
0.024548780173063278,
0.008754787966609001,
0.007335451431572437,
0.05242260918021202,
-0.0073575591668486595,
-0.012981847859919071,
0.0028010900132358074,
-0.026476601138710976,
0.002405355917289853,
0.04060806706547737,
0.009886720217764378,
-0.00849391333758831,
-0.028528228402137756,
0.030579855665564537,
0.017960580065846443,
0.00525729451328516,
-0.0022229645401239395,
0.05175052583217621,
-0.04389774426817894,
0.03137574717402458,
0.03450624644756317,
-0.023204609751701355,
0.05206888169050217,
-0.01964963600039482,
0.017040885984897614,
0.005518169607967138,
0.004426031839102507,
-0.050335612148046494,
-0.02803300879895687,
-0.03767211735248566,
-0.01989724673330784,
-0.020286347717046738,
-0.010364254005253315,
-0.004317702259868383,
0.0601692721247673,
0.020445525646209717,
0.008865328505635262,
0.02033940702676773,
-0.0010722405277192593,
-0.008489491418004036,
0.12175346165895462,
-0.011451970785856247,
0.024035872891545296,
0.007273548748344183,
-0.01142544113099575,
0.05171515420079231,
0.031977083534002304,
-0.0013297992991283536,
0.017854461446404457,
0.013936915434896946,
0.042093727737665176,
-0.02132984809577465,
0.00030232759309001267,
0.023522965610027313,
0.0028961547650396824,
-0.0024009342305362225,
0.003128289245069027,
0.017323868349194527,
0.0010954539757221937,
0.024725643917918205,
-0.028970390558242798,
0.016872864216566086,
-0.018270093947649002,
-0.022585585713386536,
0.04074956104159355,
0.018765313550829887,
0.05401438847184181,
-0.005951487459242344,
-0.05114918574690819,
-0.06317596882581711,
0.011151300743222237,
0.034240949898958206,
-0.05090157687664032,
0.005451845470815897,
0.046126239001750946,
0.025344669818878174,
0.011566932313144207,
-0.0025601123925298452,
-0.008542550727725029,
0.00039822128019295633,
-0.03268454223871231,
-0.010797572322189808,
-0.023823635652661324,
-0.01645723357796669,
-0.004220427013933659,
-0.03954688087105751,
-0.0186591949313879,
-0.06865876168012619,
-0.04839010164141655,
0.011743796989321709,
0.014485195279121399,
0.0472581684589386,
0.020604703575372696,
-0.014016504399478436,
0.0027612955309450626,
-0.012716551311314106,
-0.07198381423950195,
-0.0026794958394020796,
0.016731372103095055,
-0.005018527619540691,
0.008953760378062725,
0.0472227968275547,
0.040572695434093475,
0.005062743555754423,
0.02065776288509369,
0.012716551311314106,
-0.030491424724459648,
0.010010525584220886,
0.024937881156802177,
0.025362355634570122,
0.021135296672582626,
0.007724552880972624,
-0.021365219727158546,
0.03535519540309906,
0.0027657172176986933,
-0.02805069461464882,
0.02713100053369999,
0.01017854642122984,
0.032649170607328415,
0.02651197463274002,
-0.05341305211186409,
-0.0036765688564628363,
-0.015325301326811314,
0.04258894920349121,
-0.0007903628284111619,
0.015873581171035767,
-0.00567292608320713,
0.04174000024795532,
-0.0032918888609856367,
-0.024478033185005188,
-0.0019256112864241004,
-0.037459880113601685,
0.017491890117526054,
0.039193153381347656,
0.03256073594093323,
-0.037212271243333817,
0.017553793266415596,
-0.0029713220428675413,
-0.034559305757284164,
-0.0159973856061697,
-0.014149152673780918,
-0.012044466100633144,
-0.009798288345336914,
-0.006601464003324509,
0.012000249698758125,
-0.0008688464295119047,
0.04181074723601341,
0.04906218498945236,
-0.008370107971131802,
0.026193618774414062,
-0.06816354393959045,
-0.06862339377403259,
0.00841432437300682,
0.0001468803675379604,
-0.0028033009730279446,
0.030208440497517586,
0.011018652468919754,
0.004445929080247879,
0.04775338992476463,
0.00420716218650341,
-0.002823198214173317,
-0.0044149779714643955,
-0.016324585303664207,
-0.044994305819272995,
0.018340839073061943,
0.006296372972428799,
0.003327261656522751,
0.003840168472379446,
0.025627652183175087,
0.03436475619673729,
-0.020993804559111595,
0.013114496134221554,
-0.036610931158065796,
-0.014299487695097923,
0.005960330367088318,
-0.014626686461269855,
0.030491424724459648,
0.002156640402972698,
0.015360673889517784,
-0.0228508822619915,
0.06918935477733612,
-0.006787171587347984,
0.022674016654491425,
-0.00968332588672638,
-0.015475635416805744,
0.015307614579796791,
0.03450624644756317,
0.006632415112107992,
-0.015024631284177303,
0.017244279384613037,
-0.005907271057367325,
0.05274096503853798,
-0.016961297020316124,
0.004594053141772747,
-0.039263900369405746,
-0.008997976779937744,
-0.011027496308088303,
0.05493408441543579,
-0.020693136379122734,
0.02927105873823166,
0.057799287140369415,
0.008697307668626308,
0.0028718358371406794,
0.00035483422107063234,
0.006902133580297232,
-0.008551394566893578,
0.0579054057598114,
0.028669720515608788,
-0.007308921776711941,
-0.01622730866074562,
0.04768264293670654,
0.04863771051168442,
0.006163724698126316,
-0.034859973937273026,
0.019384339451789856,
0.026653466746211052,
-0.015228025615215302,
-0.03256073594093323,
0.005553542636334896,
0.02346990630030632,
-0.0640602856874466,
-0.010850631631910801,
0.0032078782096505165,
0.013662775978446007,
0.02361139841377735,
0.030279187485575676,
0.06734997034072876,
0.004540993832051754,
-0.015289927832782269,
-0.010346568189561367,
-0.0015298770740628242,
-0.032507676631212234,
0.04368550702929497,
0.002292604884132743,
0.006464394275099039,
0.019702695310115814,
0.03450624644756317,
-0.016244996339082718,
-0.01223017368465662,
0.000827393785584718,
-0.01654566451907158,
-0.01264580525457859,
0.031817905604839325,
-0.008091546595096588,
0.038450323045253754,
0.0021013703662902117,
0.012902258895337582,
0.03003157675266266,
-0.005650817882269621,
0.007755504455417395,
0.02492019534111023,
-0.010894847102463245,
0.04223522171378136,
-0.06345894932746887,
0.005650817882269621,
-0.0054341587238013744,
0.01100980956107378,
0.023328416049480438,
-0.02559228055179119,
0.003035435453057289,
0.03056216984987259,
0.04357938840985298,
0.005274980794638395,
-0.028068382292985916,
-0.022727075964212418,
0.01966732181608677,
-0.0032012457959353924,
-0.013353263027966022,
0.03077440708875656,
-0.004388448316603899,
0.014175682328641415,
0.026794956997036934,
-0.0031083920039236546,
-0.005858633667230606,
-0.0028784682508558035,
0.036151085048913956,
-0.003930811304599047,
-0.0031260785181075335,
-0.004437085706740618,
-0.0009738596272654831,
-0.01402534730732441,
0.058117642998695374,
0.008038487285375595,
-0.019932618364691734,
-0.024743331596255302,
-0.005115802865475416,
-0.051538288593292236,
-0.005190970376133919,
0.014219898730516434,
-0.007538845296949148,
-0.07626393437385559,
0.02415967732667923,
0.012743080966174603,
-0.0029912192840129137,
0.03528444841504097,
-0.02713100053369999,
0.013247144408524036,
0.021913500502705574,
0.001643733587116003,
-0.04732891544699669,
-0.03834420442581177,
0.010090114548802376,
-0.005951487459242344,
0.027148686349391937,
-0.011867601424455643,
0.02186044119298458,
0.037070780992507935,
0.026405856013298035,
0.04435759410262108,
0.004549836739897728,
-0.04860233888030052,
0.03689391538500786,
0.013344419188797474,
-0.019172102212905884,
-0.0028629926964640617,
0.007706866599619389,
-0.029058821499347687,
0.050335612148046494,
0.04577250778675079,
0.02651197463274002,
0.03678779676556587,
-0.021206041797995567,
0.04464057832956314,
-0.0011258524609729648,
0.012813826091587543,
-0.008661934174597263,
-0.03206551820039749,
-0.029217999428510666,
0.017155848443508148,
0.008591189049184322,
-0.014149152673780918,
0.031800221651792526,
-0.0014149153139442205,
-0.011646521277725697,
-0.012822669930756092,
-0.025857577100396156,
-0.0099044069647789,
-0.00575251504778862,
0.011381224729120731,
0.008701728656888008,
0.007507894188165665,
-0.012663492001593113,
-0.028935017064213753,
0.035832729190588,
0.02644122950732708,
0.017783716320991516,
0.048956066370010376,
-0.026706526055932045,
0.0017686440842226148,
0.037601374089717865,
-0.043862372636795044,
-0.008790161460638046,
0.014927356503903866,
-0.01781908981502056,
-0.0021444810554385185,
-0.03576198220252991,
0.047435034066438675,
0.016253838315606117,
-0.02033940702676773,
0.00002851593126251828,
-0.0032233537640422583,
-0.03369266912341118,
0.01616540737450123,
-0.0320124588906765,
-0.06285761296749115,
-0.05624288320541382,
0.010585335083305836,
0.011513873003423214,
-0.02805069461464882,
0.038521066308021545,
0.015864737331867218,
0.046904440969228745,
0.01751841977238655,
0.018252406269311905,
-0.002174326917156577,
-0.0010799783049151301,
0.012575059197843075,
0.04807174578309059,
0.002522528637200594,
-0.058648236095905304,
0.030456051230430603,
0.017155848443508148,
-0.03434706851840019,
0.021595144644379616,
0.020763881504535675,
0.005818839184939861,
0.03123425506055355,
0.016713686287403107,
-0.010470372624695301,
0.044074609875679016,
-0.027148686349391937,
-0.021312160417437553,
0.0063936482183635235,
-0.006185832899063826,
0.005036213900893927,
-0.03556743264198303,
0.0026021176017820835,
-0.025203177705407143,
0.02269170433282852,
-0.020852314308285713,
0.04365013539791107,
0.020852314308285713,
0.05836525559425354,
0.061230458319187164,
-0.007985427975654602,
-0.04382700100541115,
0.05433274805545807,
-0.000034958356991410255,
-0.01660756766796112,
-0.030915899202227592,
-0.002038362203165889,
-0.011743796989321709,
0.045914001762866974,
-0.025698399171233177,
0.007269127294421196,
0.05111381411552429,
-0.03728301823139191,
0.00876363180577755,
-0.062503881752491,
0.03153492510318756,
-0.041633881628513336
] |
We present a deep learning method for composite and task-driven motion
control for physically simulated characters. In contrast to existing
data-driven approaches using reinforcement learning that imitate full-body
motions, we learn decoupled motions for specific body parts from multiple
reference motions simultaneously and directly by leveraging the use of multiple
discriminators in a GAN-like setup. In this process, there is no need of any
manual work to produce composite reference motions for learning. Instead, the
control policy explores by itself how the composite motions can be combined
automatically. We further account for multiple task-specific rewards and train
a single, multi-objective control policy. To this end, we propose a novel
framework for multi-objective learning that adaptively balances the learning of
disparate motions from multiple sources and multiple goal-directed control
objectives. In addition, as composite motions are typically augmentations of
simpler behaviors, we introduce a sample-efficient method for training
composite control policies in an incremental manner, where we reuse a
pre-trained policy as the meta policy and train a cooperative policy that
adapts the meta one for new composite tasks. We show the applicability of our
approach on a variety of challenging multi-objective tasks involving both
composite motion imitation and multiple goal-directed control. | [
0.048473358154296875,
-0.006174425594508648,
-0.0290444977581501,
-0.03398403897881508,
0.004737842362374067,
0.03553176298737526,
-0.06309439986944199,
0.03217287361621857,
-0.10122764855623245,
0.05489476025104523,
0.05654127150774002,
-0.0294561255723238,
0.03826497495174408,
-0.07119524478912354,
-0.02247490920126438,
0.015180854126811028,
-0.012159502133727074,
0.0277602169662714,
-0.01327913161367178,
-0.04494981840252876,
0.006351425778120756,
0.03316078335046768,
0.000304347719065845,
0.030032405629754066,
0.03612450510263443,
0.012587595731019974,
0.03312785178422928,
0.023100584745407104,
-0.07929608970880508,
0.07995469868183136,
0.054367873817682266,
0.01923127844929695,
0.0012781061232089996,
0.023281700909137726,
-0.018325695767998695,
-0.02578440122306347,
0.057858485728502274,
0.017288392409682274,
-0.03520245850086212,
0.03408282995223999,
0.013122712261974812,
-0.02076253481209278,
-0.024220213294029236,
-0.033951107412576675,
0.025949053466320038,
-0.007779776118695736,
-0.009541545994579792,
0.02963724359869957,
0.03322664275765419,
0.04126162827014923,
0.02827063575387001,
0.013674294576048851,
0.04969177767634392,
-0.03520245850086212,
-0.00815024133771658,
0.05357754975557327,
0.0606575571000576,
-0.016613321378827095,
0.027282727882266045,
0.024203747510910034,
0.03977976739406586,
0.012044246308505535,
-0.06674965471029282,
-0.02766142599284649,
-0.02025211602449417,
-0.05874760076403618,
0.08667246997356415,
-0.019758161157369614,
0.0350048765540123,
-0.006232053507119417,
-0.03176124393939972,
-0.022244397550821304,
-0.06625570356845856,
-0.010685872286558151,
-0.016284018754959106,
-0.0036984810139983892,
0.007932079024612904,
0.013172107748687267,
0.030789801850914955,
-0.015024435706436634,
-0.048045262694358826,
0.07185384631156921,
-0.02117416262626648,
0.0008752248249948025,
0.08719935268163681,
-0.008718288503587246,
0.05910983309149742,
-0.053347036242485046,
-0.02930794097483158,
-0.026443006470799446,
-0.01630871556699276,
0.003087212797254324,
0.021898629143834114,
-0.023265235126018524,
-0.017354251816868782,
-0.01673680916428566,
0.02290300279855728,
-0.017650624737143517,
-0.01853974163532257,
-0.010051964782178402,
0.0018471822841092944,
0.026624122634530067,
0.006223821081221104,
-0.03139901161193848,
0.014670435339212418,
-0.02058141864836216,
0.0029575498774647713,
-0.004696679767221212,
-0.05242498964071274,
0.06941700726747513,
-0.03057575598359108,
-0.020219186320900917,
0.0008500125841237605,
0.04639875143766403,
-0.07330278307199478,
-0.025949053466320038,
-0.05878053233027458,
-0.04577307403087616,
0.04646461084485054,
-0.05255671218037605,
0.06190890818834305,
0.06737533211708069,
-0.011295082978904247,
-0.027628496289253235,
-0.02570207603275776,
0.051535870879888535,
-0.051107779145240784,
-0.032831478863954544,
0.04244711622595787,
0.036519668996334076,
0.015683041885495186,
-0.019116021692752838,
-0.025949053466320038,
0.04913196340203285,
0.021569326519966125,
0.037375856190919876,
0.01336968969553709,
-0.03628915920853615,
-0.007672752719372511,
0.004050423391163349,
0.02545509859919548,
-0.027480309829115868,
-0.046332888305187225,
0.003095445455983281,
-0.0008464108686894178,
-0.03316078335046768,
-0.007269356865435839,
0.10366448760032654,
0.030460499227046967,
-0.01946179009974003,
-0.045312050729990005,
0.03233752399682999,
-0.041393350809812546,
0.03994441777467728,
0.0059439134784042835,
0.01682736724615097,
0.0017473624320700765,
0.010142522864043713,
0.045740146189928055,
-0.01630871556699276,
0.06935115158557892,
0.013715457171201706,
-0.01658039167523384,
0.08950447291135788,
0.08858242630958557,
-0.0008644195622764528,
0.03997734934091568,
0.023528678342700005,
-0.05960378795862198,
0.0452461913228035,
-0.02469770237803459,
-0.00836428813636303,
0.0046719820238649845,
0.01563364639878273,
0.025257516652345657,
0.057430390268564224,
0.08397218585014343,
-0.012414711527526379,
-0.04033958166837692,
0.026854634284973145,
-0.04725493863224983,
0.006400821264833212,
0.05904397368431091,
0.03460971266031265,
0.054269082844257355,
0.03704655170440674,
0.0469585657119751,
-0.016037041321396828,
0.05749624967575073,
-0.03595985472202301,
0.0030028289183974266,
-0.0038302019238471985,
0.0794278085231781,
-0.054104432463645935,
-0.0005793669261038303,
-0.048638008534908295,
-0.03381938859820366,
0.032321058213710785,
0.019428858533501625,
0.04560842365026474,
-0.029834823682904243,
-0.03701362386345863,
0.005556982941925526,
-0.031020313501358032,
0.02425314299762249,
0.00478312186896801,
-0.029834823682904243,
-0.0392858125269413,
0.030361708253622055,
-0.076859250664711,
0.046596333384513855,
0.015740668401122093,
-0.05815485492348671,
-0.04936247318983078,
-0.012883967719972134,
-0.03559762239456177,
-0.008261381648480892,
0.01401183009147644,
-0.018687928095459938,
-0.02545509859919548,
-0.025767935439944267,
0.036848973482847214,
-0.0019109847489744425,
-0.023874444887042046,
-0.04475223645567894,
0.021305885165929794,
0.025916121900081635,
-0.009623871184885502,
-0.04653047025203705,
0.031991757452487946,
-0.04807819426059723,
-0.052227407693862915,
0.026838170364499092,
-0.021717512980103493,
0.010331871919333935,
-0.019247742369771004,
-0.006252634804695845,
-0.009541545994579792,
0.03460971266031265,
-0.008059683255851269,
-0.019264208152890205,
-0.021717512980103493,
-0.008421916514635086,
0.011377408169209957,
0.07620064169168472,
0.03530124947428703,
-0.0070635429583489895,
0.043599676340818405,
-0.026327751576900482,
-0.060855139046907425,
-0.03977976739406586,
0.0121759669855237,
-0.009541545994579792,
0.010142522864043713,
-0.0134520148858428,
0.03187650069594383,
0.04751837998628616,
-0.024401329457759857,
0.031135570257902145,
-0.05901104211807251,
0.05568508803844452,
0.04807819426059723,
-0.0031921779736876488,
0.0239238403737545,
-0.015674808993935585,
-0.023117048665881157,
0.013180340640246868,
0.026673518121242523,
-0.009772057645022869,
-0.00428916746750474,
-0.03345715254545212,
-0.003383585251867771,
-0.06470797955989838,
-0.010965779423713684,
-0.006660147104412317,
-0.01895136944949627,
0.049592986702919006,
-0.013032154180109501,
0.05235913023352623,
0.020976582542061806,
0.02588319219648838,
-0.010150755755603313,
0.020729605108499527,
-0.0015683041419833899,
-0.019774626940488815,
-0.059998951852321625,
-0.046760983765125275,
0.025767935439944267,
-0.04136041924357414,
0.029225613921880722,
-0.006874193903058767,
-0.00168150186073035,
-0.0021003338042646646,
-0.00013037041935604066,
0.037441715598106384,
0.0019799324218183756,
-0.01811164803802967,
-0.008034985512495041,
0.0503833144903183,
-0.03885771706700325,
0.010471825487911701,
0.027974264696240425,
0.002566502895206213,
0.007343450095504522,
-0.016374576836824417,
0.037540506571531296,
0.012447642162442207,
0.0031901199836283922,
-0.01776588149368763,
0.028402358293533325,
0.00850424263626337,
0.020038068294525146,
-0.010019034147262573,
-0.017453042790293694,
-0.023676864802837372,
0.03849548473954201,
0.06220528110861778,
0.014127085916697979,
-0.004186260513961315,
-0.010249546729028225,
-0.0038569578900933266,
0.066552072763443,
-0.05140415206551552,
-0.014423457905650139,
0.016432205215096474,
0.014777458272874355,
0.02203034982085228,
0.0006514018750749528,
-0.004704912193119526,
-0.028632869943976402,
-0.025850262492895126,
-0.008047334849834442,
-0.02033444121479988,
-0.03520245850086212,
-0.02314998023211956,
0.034807294607162476,
-0.025339841842651367,
0.006491379346698523,
-0.09576122462749481,
-0.050449173897504807,
-0.013073316775262356,
-0.001962438225746155,
0.0008119369740597904,
0.027793148532509804,
0.018259834498167038,
-0.026689983904361725,
-0.013402619399130344,
0.019264208152890205,
0.006013890728354454,
0.02007099986076355,
0.0007501927320845425,
-0.019873417913913727,
-0.03862720727920532,
-0.008327241986989975,
0.033852316439151764,
-0.048045262694358826,
-0.00018214555166196078,
0.005314122419804335,
-0.05492769181728363,
0.01153382658958435,
0.016522763296961784,
-0.03885771706700325,
-0.0358610637485981,
-0.007878567092120647,
-0.07376380264759064,
0.0032148174941539764,
-0.0461023785173893,
-0.03971390426158905,
0.04122869670391083,
0.042150747030973434,
-0.024648306891322136,
-0.017436577007174492,
0.010002569295465946,
-0.01166554819792509,
-0.013139178045094013,
0.01058708131313324,
-0.007438124623149633,
-0.03576227277517319,
-0.047946471720933914,
0.05229326710104942,
-0.04900024086236954,
0.02282067760825157,
-0.010356569662690163,
-0.014242341741919518,
-0.030345244333148003,
0.027002820745110512,
-0.0000496526736242231,
-0.034971944987773895,
-0.0017144321464002132,
0.01675327494740486,
0.05627783015370369,
-0.03467557579278946,
-0.03553176298737526,
-0.005577564239501953,
0.006108565255999565,
0.007763311266899109,
0.05048210546374321,
-0.0037314111832529306,
-0.02494467981159687,
-0.013764852657914162,
0.01084229163825512,
-0.03493901714682579,
0.0008067915914580226,
0.01758476346731186,
0.006660147104412317,
-0.000011054472452087793,
-0.005412912927567959,
-0.003157189581543207,
0.0692194253206253,
0.01793053187429905,
-0.0324527807533741,
-0.042743489146232605,
-0.05647541210055351,
0.005532285198569298,
0.0234957467764616,
0.004184202291071415,
-0.03981269523501396,
-0.012562897987663746,
0.0033856434747576714,
-0.043863117694854736,
0.007417543325573206,
0.035400040447711945,
0.019428858533501625,
-0.0016907635144889355,
0.04452172666788101,
0.047617170959711075,
0.04175558313727379,
0.02188216522336006,
-0.05654127150774002,
-0.050086941570043564,
0.0031551315914839506,
0.004210958257317543,
0.04807819426059723,
-0.05232619866728783,
0.01597118005156517,
0.012669920921325684,
0.00995317380875349,
0.014612806960940361,
-0.06605812162160873,
-0.013394387438893318,
0.0051247733645141125,
-0.03619036823511124,
-0.01029070932418108,
-0.003609980922192335,
0.05252378061413765,
-0.018391555175185204,
-0.01294159609824419,
-0.0683632418513298,
-0.002716747345402837,
-0.01880318485200405,
-0.07672753185033798,
0.020285045728087425,
-0.004007202107459307,
-0.04083353281021118,
-0.03681604191660881,
0.014933877624571323,
0.03057575598359108,
-0.001907897531054914,
0.010307174175977707,
-0.04192023351788521,
-0.02476356364786625,
-0.0025171074084937572,
-0.03655260056257248,
0.00043272433686070144,
0.008570102974772453,
-0.010068429633975029,
-0.0666837990283966,
-0.04840749502182007,
0.0028155380859971046,
0.004877796396613121,
-0.0028093636501580477,
0.0033609457314014435,
0.008170823566615582,
-0.015930017456412315,
0.047946471720933914,
0.018836114555597305,
-0.022310256958007812,
-0.07317105680704117,
0.008084380999207497,
-0.010537686757743359,
0.018556207418441772,
-0.042743489146232605,
0.01982402242720127,
-0.0708659440279007,
-0.007573962211608887,
0.009393359534442425,
0.0922706127166748,
-0.013534341007471085,
0.010537686757743359,
-0.016168761998414993,
0.016168761998414993,
-0.03365473449230194,
-0.04254590719938278,
0.017700020223855972,
0.006738356314599514,
0.0015713913599029183,
0.005215331446379423,
-0.03049343079328537,
0.05202982574701309,
-0.0052606104873120785,
0.012480571866035461,
-0.013048619031906128,
0.02282067760825157,
0.029060963541269302,
0.06421402841806412,
0.02290300279855728,
0.027826078236103058,
0.017617695033550262,
-0.04896731302142143,
-0.023890910670161247,
-0.009401592426002026,
0.05054796487092972,
0.0013058909680694342,
-0.016893228515982628,
0.0003074349369853735,
0.01946179009974003,
0.0435338169336319,
0.007615124806761742,
0.038232043385505676,
0.015271412208676338,
-0.0016681239940226078,
0.0011330071138218045,
0.009887313470244408,
0.0032847945112735033,
-0.03833083435893059,
0.028484683483839035,
0.03912116214632988,
-0.05015280097723007,
0.031810641288757324,
0.046168237924575806,
-0.05357754975557327,
0.051206570118665695,
-0.01306508481502533,
-0.05403857305645943,
-0.025125795975327492,
-0.032074082642793655,
-0.03065808117389679,
0.00022575243201572448,
0.008742986246943474,
-0.031728316098451614,
0.005268843378871679,
0.04152506962418556,
-0.03039463981986046,
-0.00952508021146059,
-0.01648983173072338,
0.007569845765829086,
-0.003947515971958637,
-0.04679391160607338,
0.003992795012891293,
0.022359652444720268,
-0.009022894315421581,
-0.006977100856602192,
-0.004811935592442751,
0.02356160804629326,
-0.041986092925071716,
-0.022409047931432724,
-0.014958575367927551,
-0.03510366752743721,
-0.003953690640628338,
-0.02290300279855728,
0.016712112352252007,
-0.02296886406838894,
-0.010529453866183758,
0.026607658714056015,
0.013740154914557934,
-0.0029225614853203297,
0.0015261122025549412,
0.06563002616167068,
0.022837141528725624,
-0.01563364639878273,
-0.015608947724103928,
-0.053676340728998184,
-0.01546076126396656,
0.016712112352252007,
0.03225519880652428,
-0.024961143732070923,
0.016959089785814285,
0.005733983125537634,
0.004696679767221212,
0.026163099333643913,
0.024664772674441338,
-0.027941333130002022,
0.015913553535938263,
0.06003188341856003,
-0.045213259756565094,
-0.0018121938919648528,
0.013484945520758629,
0.002655002987012267,
0.03408282995223999,
-0.017206065356731415,
0.005318238399922848,
0.01263699121773243,
0.017568299546837807,
-0.0036182133480906487,
-0.02802366018295288,
-0.041129905730485916,
-0.022688955068588257,
-0.013600201345980167,
0.006129146553575993,
-0.0503833144903183,
-0.01251350250095129,
0.011558524332940578,
-0.02614663355052471,
-0.023693328723311424,
-0.024203747510910034,
-0.04432414472103119,
0.044192422181367874,
0.0264759361743927,
-0.015518389642238617,
-0.007648054976016283,
0.024631841108202934,
0.07396138459444046,
0.016094669699668884,
-0.023034723475575447,
0.03734292462468147,
-0.013336759060621262,
0.03516952693462372,
0.00578337861225009,
0.016893228515982628,
-0.009541545994579792,
0.017485972493886948,
0.0021425257436931133,
0.046760983765125275,
-0.009582708589732647,
0.010389500297605991,
0.005326471291482449,
0.00743400864303112,
-0.043863117694854736,
-0.02767789177596569,
0.012011315673589706,
0.005429378245025873,
0.027266263961791992,
0.015222017653286457,
-0.024401329457759857,
-0.010694105178117752,
0.008360172621905804,
0.03921995311975479,
0.03195882588624954,
0.009031126275658607,
0.049230754375457764,
-0.05364340916275978,
0.0005747360992245376,
-0.014250574633479118,
0.025652680546045303,
-0.0009251347510144114,
0.05525699257850647,
0.004840749781578779,
-0.004984819795936346,
0.0016712112119421363,
-0.010661174543201923,
0.020285045728087425,
-0.026508867740631104,
0.011204523965716362,
0.03951632231473923,
-0.00871005654335022,
-0.014209411107003689,
0.031217895448207855,
0.00493130786344409,
0.01007666252553463,
0.023034723475575447,
0.05934034660458565,
-0.027974264696240425,
-0.01375661976635456,
-0.032683294266462326,
-0.020202720537781715,
-0.0012204780941829085,
0.04149214178323746,
0.025422168895602226,
-0.05091019719839096,
0.03484022617340088,
0.037375856190919876,
-0.013229736126959324,
0.028912777081131935,
-0.00001601491567271296,
0.009944941848516464,
-0.016259320080280304,
0.008220219053328037,
0.040438372641801834,
-0.004560842178761959,
-0.02655826322734356,
-0.025916121900081635,
-0.01760122925043106,
-0.018737323582172394,
-0.017485972493886948,
-0.02204681560397148,
-0.007022379897534847,
0.018045788630843163,
-0.013847178779542446,
-0.03954925388097763,
0.009278103709220886,
-0.030855663120746613,
-0.02382504940032959,
-0.009236941114068031,
-0.01148443203419447,
0.02749677561223507,
0.05285308137536049,
-0.02033444121479988,
-0.03131668642163277,
0.04824284464120865,
0.0025376889389008284,
0.022606629878282547,
-0.018342159688472748,
-0.01947825402021408,
0.025257516652345657,
0.0623699314892292,
-0.017271926626563072,
-0.001480833045206964,
0.013419085182249546,
-0.05762797221541405,
0.0029513754416257143,
0.016028808429837227,
0.03090505860745907,
-0.009483917616307735,
0.00995317380875349,
0.01038126740604639,
0.023545142263174057,
0.039088230580091476,
-0.00849600974470377,
0.006618984043598175,
0.020433232188224792,
0.025488028302788734,
0.003883713623508811,
0.007409310899674892,
-0.06717775017023087,
-0.023380491882562637,
0.01673680916428566,
0.034642644226551056,
-0.018161043524742126,
-0.004009260330349207,
-0.004375609569251537,
0.018226904794573784,
-0.03513659909367561,
-0.03431333974003792,
0.000056888326071202755,
0.0013676353264600039,
-0.008833545260131359,
0.0008886027499102056,
0.029324404895305634,
-0.010315407067537308,
-0.04603651538491249,
0.032683294266462326,
-0.047353729605674744,
0.04396190866827965,
0.0029246194753795862,
-0.011813734658062458,
0.038725998252630234,
0.022441979497671127,
0.02347928285598755,
0.027266263961791992,
-0.002471828367561102,
0.0896361917257309,
0.01285103801637888,
0.014530481770634651,
0.006923589389771223,
-0.051799315959215164,
0.007837404496967793,
0.006219704635441303,
-0.016621554270386696,
0.0063678910955786705,
-0.01272754929959774,
0.05604732036590576,
0.024730632081627846,
0.022359652444720268,
0.047880612313747406,
0.01293336320668459,
-0.0027023402508348227,
-0.020647279918193817,
-0.022326722741127014,
0.014579877257347107,
-0.01401183009147644,
0.007421659771353006,
-0.010397732257843018,
0.012019548565149307,
-0.01358373649418354,
-0.005009517073631287,
-0.008002055808901787,
-0.00806379970163107,
-0.009804988279938698,
-0.05074554681777954,
0.026196029037237167,
-0.014505784027278423,
0.030691010877490044,
-0.02133881486952305,
0.02204681560397148,
-0.0035255970433354378,
-0.013773085549473763,
-0.049757637083530426,
0.00685361260548234,
-0.0239238403737545,
0.02510933019220829,
0.007166449911892414,
0.010010802187025547,
0.010899919085204601,
0.01071880292147398,
0.00557344825938344,
0.010002569295465946,
-0.040965255349874496,
0.011467966251075268,
-0.0016670948825776577,
-0.06302853673696518,
0.00456907507032156,
0.010150755755603313,
-0.0009637249168008566,
0.036519668996334076,
0.025405703112483025,
0.01982402242720127,
-0.038989439606666565,
0.06006481125950813,
0.0007188060553744435,
0.007825055159628391,
0.006306146737188101,
-0.03319371119141579,
0.012875735759735107,
0.011155128479003906,
0.021799838170409203,
-0.023462817072868347,
-0.018161043524742126,
0.03484022617340088,
-0.004647284280508757,
-0.0341816209256649,
-0.01136094331741333,
-0.0252081211656332,
0.00428916746750474,
0.05354461818933487,
-0.0640823021531105,
0.00879238173365593,
0.010447127744555473,
-0.0007923846133053303,
0.012068944051861763,
0.010389500297605991,
0.04946126416325569,
0.02561975084245205,
-0.018243368715047836,
0.0003817853284999728,
-0.055718015879392624,
0.03520245850086212,
0.07475171238183975,
0.048802658915519714,
0.00815024133771658,
0.04409363120794296,
-0.022952398285269737,
-0.015213784761726856,
-0.0751468762755394,
-0.05670592561364174,
-0.030691010877490044,
-0.0023750956170260906,
-0.007269356865435839,
0.0006050937226973474,
-0.013567270711064339,
-0.00614561140537262,
0.00021687669504899532,
0.03902237117290497,
0.054631318897008896,
0.0290444977581501,
-0.019264208152890205,
0.029851289466023445,
0.06075634807348251,
0.05818778648972511,
-0.011311547830700874,
-0.01742011308670044,
0.02767789177596569,
-0.012414711527526379,
-0.012134804390370846,
0.010109593160450459,
0.018753789365291595,
-0.004795470740646124,
0.027019286528229713,
-0.042842280119657516,
-0.02869872935116291,
-0.04481809586286545,
-0.022063281387090683,
0.014324666932225227,
-0.0426776297390461,
0.023545142263174057,
-0.029011568054556847,
-0.003371236380189657,
-0.003173654666170478,
-0.05947206914424896,
0.021898629143834114,
-0.0130239212885499,
0.013386154547333717,
-0.00635965820401907,
0.04896731302142143,
-0.054960619658231735,
0.055718015879392624,
-0.007656287867575884,
0.006635449361056089,
0.019428858533501625,
-0.007656287867575884,
-0.05423615500330925,
-0.006203239783644676,
0.021404676139354706,
-0.07824232429265976,
-0.012233595363795757,
0.0461023785173893,
-0.002992538269609213,
-0.037540506571531296,
0.0008278875611722469,
-0.005779262166470289,
0.026327751576900482,
-0.0029369683470577,
-0.018654998391866684,
-0.01913248747587204,
0.0015991762047633529,
0.024368399754166603,
0.004490865394473076,
0.017107274383306503,
-0.011772571131587029,
0.04827577620744705,
-0.009080521762371063,
-0.008553637191653252,
-0.017024949193000793,
0.03421454876661301,
-0.009730895049870014,
0.02135528065264225,
0.015230249613523483,
-0.02247490920126438,
-0.007380496710538864,
0.02639361098408699,
0.023940306156873703,
-0.02347928285598755,
0.014127085916697979,
0.006252634804695845,
0.0418214425444603,
-0.02578440122306347,
0.003395934123545885,
0.007606892380863428,
0.004334446974098682,
0.002239258261397481,
0.012776944786310196,
0.014719830825924873,
0.0243519339710474,
-0.005733983125537634,
0.041031114757061005,
0.06250165402889252,
0.0006287623546086252,
-0.008718288503587246,
-0.012546433135867119,
-0.010776430368423462,
0.022688955068588257,
-0.011550292372703552,
-0.023265235126018524,
0.053676340728998184,
0.05746332183480263,
0.055718015879392624,
-0.027463845908641815,
0.02314998023211956,
0.03612450510263443,
-0.003068689489737153,
0.0019223045092076063,
-0.027743753045797348,
-0.0000034208569559268653,
0.012027781456708908,
-0.006347309332340956,
-0.07323691993951797,
0.004091585986316204,
-0.020729605108499527,
0.002918445272371173,
0.008775916881859303,
0.028649333864450455,
0.03134961798787117,
0.01647336781024933,
-0.030213521793484688,
-0.013056851923465729,
-0.026426540687680244,
0.0478147529065609,
-0.018671462312340736,
-0.022178536280989647,
0.0029163870494812727,
-0.009088754653930664,
-0.0029287359211593866,
-0.017881136387586594,
-0.024911748245358467,
0.03862720727920532,
0.009928476065397263,
0.02425314299762249,
-0.021980954334139824,
-0.008685358799993992,
-0.03619036823511124,
-0.006100332364439964,
0.05627783015370369,
-0.0025829679798334837,
0.04560842365026474,
-0.010644709691405296,
0.011887826956808567,
0.0011216873535886407,
0.013130945153534412,
-0.014135317876935005,
-0.028385892510414124,
0.002873165998607874,
-0.037705160677433014,
-0.021240023896098137,
0.0004823769850190729,
-0.020795464515686035,
-0.026377147063612938,
0.012480571866035461,
0.0007774630794301629,
-0.035498831421136856,
0.05064675584435463,
0.01092461682856083,
-0.0004826342628803104,
-0.003507073735818267,
-0.033951107412576675,
0.04406069964170456,
0.010743500664830208,
0.028204776346683502,
0.034807294607162476,
0.025685610249638557,
-0.030641615390777588,
0.020350906997919083,
0.0011628501815721393,
0.003947515971958637,
0.014530481770634651,
-0.006116797681897879,
-0.010422430001199245,
0.015296109952032566,
-0.012159502133727074,
-0.000037850513763260096,
-0.025257516652345657,
-0.02570207603275776,
0.026360681280493736,
-0.05459838733077049,
0.030888592824339867,
-0.025224586948752403
] |
Code classification is a difficult issue in program understanding and
automatic coding. Due to the elusive syntax and complicated semantics in
programs, most existing studies use techniques based on abstract syntax tree
(AST) and graph neural network (GNN) to create code representations for code
classification. These techniques utilize the structure and semantic information
of the code, but they only take into account pairwise associations and neglect
the high-order correlations that already exist between nodes in the AST, which
may result in the loss of code structural information. On the other hand, while
a general hypergraph can encode high-order data correlations, it is homogeneous
and undirected which will result in a lack of semantic and structural
information such as node types, edge types, and directions between child nodes
and parent nodes when modeling AST. In this study, we propose to represent AST
as a heterogeneous directed hypergraph (HDHG) and process the graph by
heterogeneous directed hypergraph neural network (HDHGN) for code
classification. Our method improves code understanding and can represent
high-order data correlations beyond paired interactions. We assess
heterogeneous directed hypergraph neural network (HDHGN) on public datasets of
Python and Java programs. Our method outperforms previous AST-based and
GNN-based methods, which demonstrates the capability of our model. | [
0.004636805038899183,
0.012782319448888302,
-0.024934232234954834,
0.031105579808354378,
0.059324562549591064,
0.026012560352683067,
0.0078054266050457954,
0.01849745213985443,
-0.027605164796113968,
0.02765493467450142,
0.06214480102062225,
-0.060618553310632706,
0.010592486709356308,
-0.008966702036559582,
-0.028550775721669197,
0.04804360494017601,
0.027522217482328415,
-0.0020519313402473927,
0.02833510935306549,
-0.07445431500673294,
0.038355253636837006,
-0.05623888969421387,
-0.011554686352610588,
0.02158312499523163,
0.02991112507879734,
0.004694868810474873,
0.019940750673413277,
0.033262234181165695,
-0.038355253636837006,
0.027455858886241913,
-0.014258798211812973,
0.013396136462688446,
0.02191491797566414,
-0.022727809846401215,
0.004338191356509924,
0.003763775108382106,
0.029380256310105324,
0.0350373238325119,
-0.024619029834866524,
0.008477306924760342,
0.04893944412469864,
-0.027771061286330223,
-0.004786111880093813,
0.01636568270623684,
0.028401467949151993,
-0.02103566750884056,
0.023474344983696938,
-0.01717028021812439,
-0.005603151861578226,
-0.07107003033161163,
-0.008170398883521557,
0.06768573820590973,
0.007145988754928112,
-0.011198008432984352,
-0.0020332681015133858,
0.04887308552861214,
0.05925820395350456,
-0.005441402550786734,
0.027571985498070717,
0.06108306348323822,
-0.026593197137117386,
0.0858679935336113,
-0.05248963087797165,
0.014972152188420296,
0.05570802092552185,
-0.019973929971456528,
-0.00008878050721250474,
-0.0043921079486608505,
0.05886005237698555,
-0.007357506547123194,
-0.011496622115373611,
-0.035435475409030914,
-0.009033060632646084,
0.02287711761891842,
0.019277164712548256,
0.02000710926949978,
0.03470553085207939,
0.04930441826581955,
-0.008054271340370178,
-0.012890152633190155,
0.012740845791995525,
0.011496622115373611,
-0.011123355478048325,
0.003073231317102909,
0.04588695243000984,
-0.01113164983689785,
0.0038384285289794207,
-0.04777817055583,
0.01400995347648859,
0.04160682484507561,
-0.049802105873823166,
-0.002022899454459548,
0.015652326866984367,
-0.05511079356074333,
-0.03732669726014137,
0.029131412506103516,
-0.010277283377945423,
-0.03206777945160866,
-0.05753288045525551,
0.04363076016306877,
-0.0023723188787698746,
0.006432633846998215,
-0.0029571037739515305,
-0.02000710926949978,
0.014515937305986881,
-0.04996800422668457,
-0.05530986934900284,
0.027820831164717674,
-0.0003579733893275261,
0.11732195317745209,
-0.03662993013858795,
0.020421849563717842,
-0.0035481099039316177,
-0.004267685580998659,
-0.0016797012649476528,
-0.008709562011063099,
-0.022113993763923645,
-0.0731935054063797,
0.024701977148652077,
-0.033544257283210754,
0.046616896986961365,
0.03414148464798927,
-0.0029031874146312475,
-0.06652446836233139,
-0.05849507823586464,
0.03881976380944252,
-0.03785756602883339,
0.016763834282755852,
-0.012259745970368385,
0.003332444466650486,
-0.025033770129084587,
0.016564758494496346,
0.09369830042123795,
-0.03716079890727997,
0.026294583454728127,
-0.005030808970332146,
0.01462376955896616,
0.02644388936460018,
-0.013487379066646099,
-0.01967531628906727,
0.007622940931469202,
-0.012027490884065628,
-0.01634909212589264,
-0.042834457010030746,
0.04585377126932144,
0.03430737927556038,
0.023125961422920227,
0.09827703982591629,
-0.017419124022126198,
0.022113993763923645,
-0.04794406518340111,
0.0541485920548439,
0.025266025215387344,
0.05162696912884712,
-0.009339968673884869,
0.015453252010047436,
0.01543666236102581,
0.004553856793791056,
-0.03312951698899269,
-0.024934232234954834,
0.07452067732810974,
-0.02830193005502224,
0.012608128599822521,
0.0413413904607296,
-0.05126199498772621,
0.04263538122177124,
-0.00046321391710080206,
-0.013097522780299187,
-0.09568905830383301,
0.037359874695539474,
0.030043842270970345,
0.015992416068911552,
0.007759805303066969,
0.042834457010030746,
-0.07100366801023483,
0.028882566839456558,
0.06002132594585419,
-0.023806137964129448,
-0.021483587101101875,
-0.006328948773443699,
-0.023889085277915,
-0.005122052039951086,
0.06821660697460175,
0.008950112387537956,
0.05630524829030037,
0.0446261391043663,
0.07790496200323105,
0.039251092821359634,
0.008692972362041473,
0.008618319407105446,
0.011554686352610588,
0.0007833421695977449,
0.03268159553408623,
-0.05020025745034218,
-0.03210095688700676,
-0.023938853293657303,
-0.006959354970604181,
-0.042801279574632645,
-0.009779593907296658,
0.03533593937754631,
-0.031022632494568825,
-0.055143970996141434,
0.009207251481711864,
-0.015503020957112312,
0.006751984357833862,
-0.0055533829145133495,
0.02891574613749981,
0.013130702078342438,
0.022014455869793892,
-0.02738950029015541,
-0.04777817055583,
0.04041237011551857,
-0.035103682428598404,
-0.05229055508971214,
0.0333949513733387,
-0.02261168323457241,
0.02189832739531994,
0.004910534247756004,
-0.012890152633190155,
-0.04671643301844597,
0.06921198964118958,
-0.010061617940664291,
0.08785874396562576,
0.03915155678987503,
-0.000007257968718477059,
-0.036132242530584335,
0.0038405023515224457,
-0.012068964540958405,
-0.021417228505015373,
-0.009804478846490383,
0.024254057556390762,
0.0317857563495636,
0.0022644861601293087,
-0.04160682484507561,
0.02735632099211216,
-0.059324562549591064,
0.013727929443120956,
-0.03440691903233528,
-0.016813602298498154,
-0.0045621516183018684,
-0.0027932811062783003,
-0.012964805588126183,
-0.04648417979478836,
-0.044659316539764404,
0.008610024116933346,
0.026875220239162445,
-0.0039960299618542194,
0.027455858886241913,
0.049470312893390656,
0.028434647247195244,
0.022827347740530968,
-0.007494370918720961,
0.031653039157390594,
-0.015362009406089783,
0.0031105580274015665,
0.048176322132349014,
0.024917643517255783,
-0.009812773205339909,
0.02354070357978344,
-0.08978314697742462,
0.019028320908546448,
0.044725675135850906,
-0.030989453196525574,
0.029446614906191826,
-0.03218390792608261,
0.024005211889743805,
0.04528972506523132,
-0.007436307147145271,
0.02415451966226101,
-0.03662993013858795,
0.02062092535197735,
-0.06708851456642151,
-0.02579689398407936,
-0.02005687728524208,
0.005304538179188967,
-0.032001420855522156,
0.0509302020072937,
-0.024419954046607018,
0.05036615580320358,
0.06015404313802719,
-0.03762530907988548,
-0.011662518605589867,
0.035435475409030914,
0.026161866262555122,
-0.005839554127305746,
-0.07279535382986069,
-0.036729469895362854,
-0.05477900058031082,
-0.028567364439368248,
-0.04615238681435585,
0.004844175651669502,
-0.009563928470015526,
-0.029048463329672813,
-0.008191135711967945,
0.021881738677620888,
0.002245822921395302,
-0.027522217482328415,
-0.005851996596902609,
0.02322549931704998,
-0.08089109510183334,
-0.03918473422527313,
-0.029811587184667587,
0.00525891687721014,
0.010733499191701412,
-0.06250977516174316,
0.025896431878209114,
0.017385944724082947,
0.07591420412063599,
0.004429434426128864,
-0.012939921580255032,
0.010393410921096802,
0.008352885022759438,
-0.005748311057686806,
0.033876050263643265,
-0.02158312499523163,
-0.0008668088121339679,
0.04956985265016556,
0.012649602256715298,
0.03921791538596153,
-0.02418769896030426,
-0.013014574535191059,
-0.03158668056130409,
-0.07133546471595764,
0.06270884722471237,
0.0025050360709428787,
0.058395542204380035,
0.010293873026967049,
0.00012766248255502433,
-0.038653865456581116,
-0.012185092084109783,
-0.013844056986272335,
0.007100366987287998,
-0.017949992790818214,
-0.03249910846352577,
-0.0175020731985569,
-0.05852825939655304,
-0.02417110837996006,
0.027240192517638206,
-0.0025879843160510063,
0.0012110439129173756,
-0.008298968896269798,
0.05577437952160835,
-0.06257613003253937,
-0.0029882092494517565,
0.017667969688773155,
-0.03606588393449783,
0.0034278349485248327,
0.0031499583274126053,
0.040578264743089676,
0.0008543665753677487,
0.0008382953819818795,
0.023043014109134674,
0.0008476270595565438,
0.00019557632913347334,
-0.013777698390185833,
-0.00809574592858553,
-0.001335466280579567,
-0.022478966042399406,
0.012757435441017151,
0.020272543653845787,
0.015793340280652046,
-0.04840857535600662,
0.036397676914930344,
-0.041805900633335114,
-0.06114942207932472,
-0.010998932644724846,
0.00636212807148695,
0.0011083955178037286,
0.01590946689248085,
-0.014134375378489494,
-0.03301338851451874,
0.061547573655843735,
-0.016307618468999863,
-0.008809099905192852,
-0.031006041914224625,
0.04107595607638359,
-0.028749849647283554,
-0.02637753076851368,
-0.01814906857907772,
0.045920129865407944,
0.010127976536750793,
0.031686216592788696,
0.014034837484359741,
-0.022329658269882202,
-0.024320416152477264,
0.05239009112119675,
0.024419954046607018,
-0.05530986934900284,
-0.010783267207443714,
0.003052494255825877,
0.04363076016306877,
-0.02420428767800331,
-0.01967531628906727,
-0.03881976380944252,
0.07053916156291962,
0.03978196159005165,
0.00038363548810593784,
0.0016641485271975398,
0.053949516266584396,
-0.02096930891275406,
-0.01084133144468069,
0.016373977065086365,
0.016357388347387314,
-0.009937196038663387,
-0.03988150134682655,
-0.06387012451887131,
-0.012939921580255032,
0.03390922769904137,
-0.00636212807148695,
0.005769048351794481,
-0.01879606582224369,
-0.009174072183668613,
-0.038919299840927124,
0.008021092042326927,
-0.01543666236102581,
-0.005300390999764204,
-0.007154283579438925,
0.06592723727226257,
0.0003494193369988352,
0.021184973418712616,
0.022843938320875168,
0.016987793147563934,
0.042801279574632645,
-0.0028824503533542156,
-0.019808033481240273,
0.045654695481061935,
-0.003552257316187024,
-0.0030856735538691282,
-0.004120452329516411,
-0.029712049290537834,
0.02670932374894619,
-0.030143380165100098,
0.0859343484044075,
0.007664415054023266,
-0.06728758662939072,
-0.03127147629857063,
0.021798789501190186,
0.006590235512703657,
-0.012458821758627892,
0.04286763817071915,
-0.06333925575017929,
-0.03629813715815544,
0.008058418519794941,
-0.047811347991228104,
-0.03447327762842178,
0.017750917002558708,
-0.04419480636715889,
-0.0013956036418676376,
-0.0038736816495656967,
-0.06639175117015839,
-0.045621518045663834,
0.004558004438877106,
-0.04356440156698227,
-0.060983527451753616,
0.03586680814623833,
-0.025050360709428787,
-0.03276454284787178,
-0.011728877201676369,
0.04864083230495453,
-0.05053205043077469,
-0.014424693770706654,
0.04940395429730415,
-0.020786821842193604,
-0.02231306955218315,
-0.004116305150091648,
0.05892641097307205,
0.008502191863954067,
-0.02476833574473858,
0.02287711761891842,
0.023756368085741997,
-0.013777698390185833,
-0.0701410099864006,
0.017585020512342453,
-0.022694630548357964,
0.005329422652721405,
-0.020521387457847595,
0.051660146564245224,
-0.04260220378637314,
-0.0008948038448579609,
-0.0001954467297764495,
0.03921791538596153,
-0.018928783014416695,
0.05663704127073288,
0.012657897546887398,
0.04485839232802391,
0.0014474462950602174,
0.0635051503777504,
-0.013769403100013733,
-0.005628036335110664,
-0.022661451250314713,
-0.0010627739829942584,
0.017601611092686653,
0.005914207547903061,
-0.04582059383392334,
0.047247301787137985,
0.036729469895362854,
-0.014715013094246387,
-0.0078095742501318455,
0.09336651116609573,
0.04346486181020737,
-0.016813602298498154,
-0.059324562549591064,
-0.014648654498159885,
0.01977485418319702,
-0.0333617702126503,
0.03414148464798927,
-0.03908519819378853,
0.030010662972927094,
-0.0444602407515049,
-0.007411422673612833,
0.008800805546343327,
0.00856855046004057,
-0.03249910846352577,
-0.032333213835954666,
-0.04688233137130737,
-0.008232610300183296,
0.015992416068911552,
-0.007270410656929016,
-0.010551013052463531,
0.021483587101101875,
0.01367816049605608,
-0.05288777872920036,
0.008344590663909912,
0.004487498197704554,
-0.019559187814593315,
0.007121104281395674,
0.029048463329672813,
-0.01048465445637703,
-0.009472685866057873,
-0.008867164142429829,
-0.03246593102812767,
-0.004334044177085161,
-0.0509302020072937,
-0.06254295259714127,
-0.030641069635748863,
-0.040611445903778076,
-0.0317525751888752,
0.01969190500676632,
0.03881976380944252,
-0.007444601971656084,
-0.02828534133732319,
0.05318639427423477,
-0.01568550616502762,
0.030375635251402855,
0.0006967649678699672,
-0.03852114826440811,
0.02476833574473858,
-0.00892522744834423,
-0.00492297625169158,
0.003438203362748027,
-0.016216374933719635,
-0.0032743806950747967,
0.042801279574632645,
0.015917761251330376,
-0.02198127657175064,
-0.049735747277736664,
-0.04645099863409996,
-0.011670813895761967,
0.009190661832690239,
-0.010501244105398655,
0.00904965028166771,
0.03283090144395828,
0.012068964540958405,
-0.05212465673685074,
0.028882566839456558,
0.00746119162067771,
0.0020622999873012304,
0.04203815385699272,
0.03344472125172615,
0.02634435147047043,
-0.0051386416889727116,
-0.06967649608850479,
-0.008431686088442802,
0.005897617898881435,
-0.009514160454273224,
0.003649721387773752,
0.025863252580165863,
-0.008759330958127975,
0.019509419798851013,
-0.012201681733131409,
-0.013462495058774948,
-0.007212346885353327,
0.024735156446695328,
-0.020488208159804344,
0.025979381054639816,
-0.0350705049932003,
-0.019808033481240273,
-0.025614408776164055,
-0.012367578223347664,
-0.00043444125913083553,
-0.014574000611901283,
0.027223603799939156,
-0.035103682428598404,
-0.029811587184667587,
-0.024021802470088005,
0.0001586384605616331,
-0.02231306955218315,
-0.010965753346681595,
0.031968239694833755,
0.000029858116249670275,
0.022760989144444466,
-0.002876229351386428,
0.05312003567814827,
0.02763834409415722,
-0.016465220600366592,
-0.005926650017499924,
0.036132242530584335,
-0.07252991944551468,
0.010857921093702316,
-0.023972032591700554,
0.02418769896030426,
0.02803649567067623,
0.0350041463971138,
-0.008054271340370178,
-0.020421849563717842,
-0.004222063813358545,
0.01462376955896616,
0.031288065016269684,
-0.015511316247284412,
-0.04870719090104103,
0.07352529466152191,
-0.016357388347387314,
0.04528972506523132,
0.022744400426745415,
-0.01937670260667801,
-0.028202392160892487,
-0.00611743051558733,
-0.021102026104927063,
-0.015079985372722149,
0.005632183514535427,
-0.038985658437013626,
-0.006967649795114994,
-0.060983527451753616,
-0.005710984580218792,
-0.024386774748563766,
-0.03583362698554993,
-0.003071157494559884,
0.06536319106817245,
-0.020770233124494553,
0.01818224787712097,
-0.03603270277380943,
0.010849625803530216,
-0.02189832739531994,
0.04890626668930054,
-0.024254057556390762,
-0.019111268222332,
-0.00029083716799505055,
-0.030325867235660553,
0.041175492107868195,
0.01848086155951023,
0.025680767372250557,
0.004049946554005146,
-0.004881502129137516,
0.04489157348871231,
-0.006258442532271147,
-0.02136746048927307,
-0.029811587184667587,
-0.009008175693452358,
-0.019608957692980766,
-0.0020809632260352373,
0.025597818195819855,
-0.02032231166958809,
0.03911837562918663,
0.002032231306657195,
0.00033490342320874333,
-0.024619029834866524,
-0.05696883425116539,
0.012433936819434166,
0.026161866262555122,
0.025929611176252365,
0.0062667373567819595,
-0.06148121505975723,
-0.03583362698554993,
0.03050835244357586,
0.015843108296394348,
-0.0445265993475914,
0.04555515944957733,
0.009174072183668613,
0.006756132002919912,
-0.019791442900896072,
-0.0016828118823468685,
-0.033544257283210754,
-0.02865031361579895,
-0.031619857996702194,
-0.0507974848151207,
0.007025713566690683,
-0.01846427284181118,
-0.03152032196521759,
-0.008668088354170322,
-0.001979351742193103,
-0.039317451417446136,
-0.0413745678961277,
-0.009505865164101124,
0.016639411449432373,
0.02009005658328533,
0.006793458480387926,
0.0006039666477590799,
-0.014225618913769722,
0.011264367029070854,
-0.006536319386214018,
-0.0012960658641532063,
-0.011670813895761967,
0.0032183907460421324,
-0.012077259831130505,
0.02196468599140644,
0.055542122572660446,
0.0021068844944238663,
0.026941578835248947,
-0.02032231166958809,
-0.004329896531999111,
-0.008817395195364952,
0.032897260040044785,
0.01568550616502762,
0.044327523559331894,
0.00740727549418807,
0.0060303350910544395,
-0.010302168317139149,
0.023955443874001503,
-0.017667969688773155,
0.011222893372178078,
-0.012127028778195381,
0.009198957122862339,
-0.02833510935306549,
-0.016631117090582848,
-0.004242801107466221,
-0.04923805966973305,
0.0051386416889727116,
0.027157245203852654,
-0.0038280601147562265,
-0.008867164142429829,
0.05016708001494408,
-0.03716079890727997,
-0.0028596397023648024,
0.014209029264748096,
-0.03653039410710335,
-0.020106647163629532,
0.029977483674883842,
0.031337834894657135,
-0.04067780449986458,
-0.026261404156684875,
0.0014557411195710301,
-0.012010901235044003,
-0.007154283579438925,
-0.03540229797363281,
-0.0017056226497516036,
0.000396077724872157,
-0.014068016782402992,
-0.012782319448888302,
-0.01017774548381567,
0.022113993763923645,
0.038089819252491,
-0.0637374073266983,
0.01974167488515377,
-0.03633131831884384,
-0.04316624999046326,
-0.017551841214299202,
0.031238297000527382,
-0.03251570090651512,
-0.0005127236363478005,
0.013313188217580318,
-0.04512382671236992,
0.030408814549446106,
-0.026626376435160637,
0.024320416152477264,
0.03606588393449783,
0.013288303278386593,
-0.01849745213985443,
-0.00032220195862464607,
0.003071157494559884,
0.021715842187404633,
0.020919539034366608,
0.02634435147047043,
0.07757316529750824,
0.006436781492084265,
0.05272188410162926,
-0.023308448493480682,
0.021466998383402824,
-0.01778409630060196,
-0.010152861475944519,
0.024602439254522324,
0.010119682177901268,
-0.03583362698554993,
0.004176442511379719,
0.044360704720020294,
0.03726033866405487,
-0.004976892843842506,
0.013105818070471287,
-0.04313306882977486,
-0.028816208243370056,
0.0010959532810375094,
-0.019890980795025826,
-0.014947268180549145,
0.04927123710513115,
0.0349046066403389,
0.04300035536289215,
0.0350373238325119,
0.0006532171973958611,
0.011380494572222233,
-0.03570090979337692,
-0.006664888933300972,
0.026958169415593147,
-0.002451119711622596,
0.002901113824918866,
-0.01242564246058464,
0.03206777945160866,
-0.06274202466011047,
-0.01907808892428875,
-0.018696527928113937,
0.0079381437972188,
0.018961962312459946,
0.013810877688229084,
-0.02541533298790455,
0.006781016476452351,
0.037359874695539474,
0.0382557138800621,
-0.01274914015084505,
-0.04588695243000984,
-0.019940750673413277,
0.011695697903633118,
-0.005611446686089039,
-0.0031292212661355734,
-0.05341864749789238,
0.010551013052463531,
-0.0350705049932003,
-0.040876880288124084,
-0.018845833837985992,
0.050731126219034195,
0.003722300985828042,
0.043763477355241776,
0.01319706067442894,
0.005433107726275921,
0.03971560299396515,
-0.0065072872675955296,
0.002934293122962117,
-0.050731126219034195,
0.04190543666481972,
-0.016738949343562126,
-0.002256191335618496,
0.022130582481622696,
-0.0040292092598974705,
-0.036464035511016846,
-0.004487498197704554,
0.0057566058821976185,
-0.013138997368514538,
-0.02989453636109829,
-0.005470434669405222,
-0.045322902500629425,
-0.0032702332828193903,
-0.022130582481622696,
0.05640478432178497,
0.039947859942913055,
0.016000710427761078,
0.03460599482059479,
0.07843583077192307,
0.0206541046500206,
0.0414077490568161,
-0.008377769030630589,
0.03566773235797882,
0.03556819260120392,
-0.029048463329672813,
0.03619860112667084,
-0.03935063257813454,
-0.022097403183579445,
-0.0270411167293787,
0.018978551030158997,
0.000478766713058576,
0.007025713566690683,
-0.045986488461494446,
0.008361180312931538,
0.017734328284859657,
-0.012674487195909023,
0.014366630464792252,
-0.008079156279563904,
0.04528972506523132,
0.014242208562791348,
-0.04927123710513115,
-0.0254982803016901,
-0.007975470274686813,
-0.0057607535272836685,
0.0038716078270226717,
0.040279652923345566,
0.013578622601926327,
0.007660267408937216,
0.005217442754656076,
0.06078445166349411,
0.006391159724444151,
0.03732669726014137,
-0.044095270335674286,
-0.04986846446990967,
-0.04412844777107239,
-0.02448631264269352,
0.03732669726014137,
-0.019890980795025826,
-0.02289370633661747,
0.04157364368438721,
0.0017242860049009323,
0.001563573838211596,
0.0002986135659739375,
-0.00874274130910635,
0.006163052283227444,
0.005781490355730057,
-0.06141485646367073,
0.030408814549446106,
0.002334992168471217,
0.022346248850226402,
-0.03140419349074364,
0.024419954046607018,
0.006382864899933338,
0.023009834811091423,
-0.0103353476151824,
0.00845242291688919,
-0.016216374933719635,
0.0036994903348386288,
-0.04857447370886803,
0.022130582481622696,
0.009771299548447132,
-0.038355253636837006,
-0.0057566058821976185,
0.024967411532998085,
-0.036795828491449356,
0.01975826360285282,
0.03410830348730087,
-0.025664176791906357,
0.011720582842826843,
-0.04396255314350128,
0.00389649230055511,
-0.0350041463971138,
0.01480625569820404,
-0.014988741837441921,
-0.024320416152477264,
-0.03055812232196331,
0.028766440227627754,
0.03463917225599289,
0.00817454606294632,
0.009680056013166904,
-0.03284749388694763,
-0.0027580279856920242,
-0.01969190500676632,
-0.02672591432929039,
0.0022520439233630896,
-0.010575897060334682,
0.04651735723018646,
-0.026560017839074135,
0.04655053839087486,
-0.011330725625157356,
-0.006034482270479202,
-0.006241852883249521,
0.0030234623700380325,
0.0077763949520885944,
0.024635618552565575,
-0.05793103203177452,
0.02546510100364685,
-0.025348974391818047,
-0.0075565823353827,
-0.04887308552861214,
0.004574594087898731,
-0.02636094205081463,
-0.012939921580255032,
-0.024984002113342285,
0.017551841214299202,
0.01146344281733036,
-0.005205000285059214,
0.0007045413949526846,
0.007535845041275024,
-0.0010435922304168344,
0.001204822794534266,
-0.029811587184667587,
-0.0603531189262867,
-0.034174662083387375,
0.0011135797249153256,
0.020504798740148544,
-0.04077734053134918,
0.06901291012763977,
0.023889085277915,
-0.02100248821079731,
0.007133546285331249,
-0.0024925938341766596,
-0.00008528112812200561,
0.02319232001900673,
-0.009497570805251598,
0.04698186740279198,
0.02007346786558628,
0.00969664566218853,
-0.011239483021199703,
0.00908282957971096,
-0.03379310294985771,
0.033577434718608856,
0.021068846806883812,
-0.035468656569719315,
-0.0035646995529532433,
0.02996089495718479,
0.026526838541030884,
0.00859343446791172,
-0.008775920607149601,
-0.011148239485919476,
0.029380256310105324,
-0.014524231664836407,
0.016772128641605377,
-0.017551841214299202,
0.012815498746931553,
0.02068728394806385,
-0.027787651866674423,
-0.02639412134885788,
-0.0046616895124316216,
0.029463205486536026,
0.030790377408266068,
0.06333925575017929,
0.023358216509222984,
-0.02541533298790455,
0.032980211079120636,
0.010011848993599415,
-0.033278822898864746,
-0.021184973418712616,
-0.015079985372722149,
0.002181537915021181,
-0.003678753273561597,
-0.05690247565507889,
0.009613697417080402,
0.02803649567067623,
-0.007013271562755108,
-0.011753762140870094,
-0.029363667592406273,
0.02096930891275406,
-0.05338547006249428
] |
When autonomous vehicles are deployed on public roads, they will encounter
countless and diverse driving situations. Many manually designed driving
policies are difficult to scale to the real world. Fortunately, reinforcement
learning has shown great success in many tasks by automatic trial and error.
However, when it comes to autonomous driving in interactive dense traffic, RL
agents either fail to learn reasonable performance or necessitate a large
amount of data. Our insight is that when humans learn to drive, they will 1)
make decisions over the high-level skill space instead of the low-level control
space and 2) leverage expert prior knowledge rather than learning from scratch.
Inspired by this, we propose ASAP-RL, an efficient reinforcement learning
algorithm for autonomous driving that simultaneously leverages motion skills
and expert priors. We first parameterized motion skills, which are diverse
enough to cover various complex driving scenarios and situations. A skill
parameter inverse recovery method is proposed to convert expert demonstrations
from control space to skill space. A simple but effective double initialization
technique is proposed to leverage expert priors while bypassing the issue of
expert suboptimality and early performance degradation. We validate our
proposed method on interactive dense-traffic driving tasks given simple and
sparse rewards. Experimental results show that our method can lead to higher
learning efficiency and better driving performance relative to previous methods
that exploit skills and priors differently. Code is open-sourced to facilitate
further research. | [
-0.002762013813480735,
0.017526794224977493,
-0.02659892849624157,
-0.06862523406744003,
-0.03940441086888313,
0.016728825867176056,
-0.0026123947463929653,
0.03321066126227379,
-0.08253267407417297,
-0.051601920276880264,
0.004246328957378864,
0.027130907401442528,
0.07436300069093704,
-0.015493875369429588,
-0.014192428439855576,
0.07329905033111572,
0.04255828633904457,
0.047270096838474274,
0.0018678623018786311,
-0.04430621489882469,
0.008065175265073776,
0.006374243181198835,
-0.04369824007153511,
0.04886602982878685,
0.005937261041253805,
0.020975155755877495,
-0.006236498709768057,
0.037124503403902054,
-0.11065154522657394,
0.013422959484159946,
0.04081035777926445,
0.017213307321071625,
0.012653490528464317,
0.026750922203063965,
0.007271957118064165,
0.04449620842933655,
0.05327385291457176,
0.013308963738381863,
-0.04221630096435547,
0.07170311361551285,
0.024300020188093185,
0.011095552705228329,
-0.02642793580889702,
-0.058289650827646255,
-0.01231150422245264,
-0.0392904169857502,
-0.053045861423015594,
-0.019350720569491386,
-0.027130907401442528,
-0.011608532629907131,
0.006160501856356859,
-0.014135430566966534,
0.04632013291120529,
-0.053653839975595474,
-0.01601635478436947,
0.04537017270922661,
-0.01885673962533474,
-0.02751089259982109,
0.01697581633925438,
0.009437870234251022,
0.012112012133002281,
-0.03237469494342804,
-0.05889762565493584,
0.002700266195461154,
0.006231748964637518,
-0.05376783385872841,
0.052171897143125534,
0.018714245408773422,
-0.02743489481508732,
-0.00013061973731964827,
-0.04784007370471954,
-0.010763066820800304,
-0.037447489798069,
0.010535075329244137,
0.020937155932188034,
-0.0032797427847981453,
-0.030379775911569595,
0.04252028837800026,
-0.004856679122895002,
0.022248104214668274,
-0.004129958804696798,
-0.014733906835317612,
-0.00802717637270689,
-0.02139313891530037,
0.03421762213110924,
-0.015683868899941444,
0.053311850875616074,
-0.06186150759458542,
0.10662370175123215,
-0.026370937004685402,
-0.0078514339402318,
-0.0011755776358768344,
0.0013002600753679872,
0.03647853061556816,
-0.004536067135632038,
0.053311850875616074,
0.0317477211356163,
-0.006326745264232159,
-0.033799637109041214,
0.01775478385388851,
-0.0037143502850085497,
0.060873549431562424,
0.016956817358732224,
-0.03284967690706253,
0.01862874999642372,
-0.03811246529221535,
-0.021032152697443962,
0.029030829668045044,
0.002840385539457202,
0.10601572692394257,
0.017954276874661446,
-0.012264005839824677,
0.03423662111163139,
0.0580996610224247,
-0.07029716670513153,
-0.0095756147056818,
0.010164590552449226,
-0.0544138066470623,
0.07702289521694183,
0.004175081849098206,
0.03476860001683235,
0.06604134291410446,
-0.005101294722408056,
-0.04841005057096481,
-0.043812233954668045,
0.006597483996301889,
0.027624886482954025,
0.00662598293274641,
0.0033177414443343878,
-0.024566009640693665,
0.015911858528852463,
-0.02737789787352085,
-0.009281125850975513,
0.01308097317814827,
0.02069016732275486,
0.009276376105844975,
0.005296036601066589,
-0.0030161284375935793,
-0.012985976412892342,
-0.013071473687887192,
-0.02908782847225666,
-0.019569212570786476,
-0.029410814866423607,
0.025800960138440132,
0.007936930283904076,
0.000049984315410256386,
0.0063409944996237755,
0.07158911973237991,
-0.04229229688644409,
0.04651012644171715,
-0.044382210820913315,
0.041228339076042175,
0.011912520043551922,
0.03547156974673271,
0.03626953810453415,
0.019873199984431267,
-0.059429604560136795,
0.028593847528100014,
0.03748549148440361,
-0.005723519250750542,
0.06041756644845009,
-0.02042417787015438,
-0.012254506349563599,
0.05209590122103691,
0.03851144760847092,
0.052247896790504456,
0.014895400032401085,
-0.03480659797787666,
-0.04753608629107475,
0.052209895104169846,
-0.028726842254400253,
0.010706068947911263,
0.0033224911894649267,
0.05114594101905823,
0.07132312655448914,
0.017260804772377014,
0.04012638330459595,
-0.0201581884175539,
-0.023996032774448395,
-0.0035552317276597023,
-0.06201350316405296,
0.0025862709153443575,
0.0077184392139315605,
-0.005737768951803446,
0.06132952868938446,
-0.009219378232955933,
0.06569935381412506,
-0.03967040032148361,
0.029296819120645523,
-0.024376017972826958,
0.011798524297773838,
0.037732478231191635,
0.0330776683986187,
0.037770479917526245,
0.004412572365254164,
-0.025572970509529114,
-0.01649133488535881,
-0.004445821046829224,
0.017507795244455338,
0.03841645270586014,
-0.029144825413823128,
-0.03486359491944313,
-0.019588211551308632,
0.010905561037361622,
-0.010544574819505215,
0.021678127348423004,
0.0013263840228319168,
0.05236189067363739,
0.025078989565372467,
-0.057149697095155716,
-0.01810627058148384,
-0.03233669698238373,
-0.05524977296590805,
-0.025078989565372467,
-0.010307084769010544,
-0.033229660242795944,
-0.022058110684156418,
-0.014306423254311085,
0.0001825707731768489,
-0.03906242549419403,
-0.01810627058148384,
0.019455216825008392,
0.010031595826148987,
0.02449001371860504,
-0.03630753606557846,
0.017004314810037613,
-0.007347953971475363,
0.004702310543507338,
-0.0005411813035607338,
-0.05236189067363739,
-0.021374138072133064,
-0.021773122251033783,
0.012615491636097431,
0.007286206353455782,
0.02545897476375103,
-0.02270408533513546,
0.011637031100690365,
0.011684529483318329,
-0.024775002151727676,
-0.013403959572315216,
0.009437870234251022,
-0.036858513951301575,
-0.02568696439266205,
-0.02230510115623474,
0.0167098268866539,
0.030702762305736542,
-0.015845362097024918,
0.052247896790504456,
0.07037316262722015,
0.02874584123492241,
0.002441401593387127,
-0.04476219788193703,
-0.03708650544285774,
0.01249199640005827,
-0.042064305394887924,
0.04951200634241104,
0.04620613902807236,
-0.05125993490219116,
-0.015902359038591385,
-0.05699770525097847,
0.0701831728219986,
-0.009276376105844975,
0.004925551358610392,
0.0675232782959938,
-0.051297932863235474,
-0.020937155932188034,
0.024300020188093185,
0.05669371783733368,
0.03801746666431427,
0.005970509257167578,
-0.00312774907797575,
-0.014372920617461205,
0.008164920844137669,
0.004312826320528984,
-0.024813000112771988,
-0.07326105237007141,
0.003386613680049777,
-0.00866365060210228,
0.010174090042710304,
-0.00675897765904665,
-0.02925882115960121,
-0.028460852801799774,
0.06189950555562973,
-0.004405447747558355,
-0.06125353276729584,
-0.05011998116970062,
-0.011209548451006413,
-0.027396896854043007,
-0.03657352551817894,
0.06911921501159668,
-0.028631847351789474,
-0.016956817358732224,
-0.04229229688644409,
0.02887883596122265,
0.03345765173435211,
0.027396896854043007,
-0.03136773779988289,
-0.03902442753314972,
-0.02186811901628971,
-0.018752245232462883,
0.010953058488667011,
-0.01498089637607336,
0.007091464474797249,
0.016253845766186714,
-0.007922681048512459,
0.002845135284587741,
-0.06520537286996841,
0.003120624227449298,
-0.030246781185269356,
-0.0010983932297676802,
0.03216570243239403,
0.02488899789750576,
-0.06512937694787979,
-0.024357018992304802,
0.006516737397760153,
0.042672280222177505,
0.014961897395551205,
-0.017156308516860008,
-0.05502178519964218,
-0.018524253740906715,
0.011599033139646053,
0.011361542157828808,
-0.03193771466612816,
0.009765606373548508,
0.061481524258852005,
0.05448980629444122,
0.03271668031811714,
0.008174420334398746,
-0.059771593660116196,
-0.009418870322406292,
-0.04088635370135307,
-0.03258368745446205,
-0.098720021545887,
0.023065071552991867,
0.027662886306643486,
-0.010687069036066532,
-0.02327406220138073,
0.0413043349981308,
-0.03678251802921295,
-0.05904962122440338,
-0.006597483996301889,
-0.015769364312291145,
-0.018391259014606476,
0.00945211946964264,
0.02240009792149067,
-0.034711603075265884,
0.0221721064299345,
-0.0016113725723698735,
-0.027662886306643486,
-0.015094892121851444,
0.0010592073667794466,
-0.0005091201164759696,
0.032355695962905884,
-0.05011998116970062,
0.06292546540498734,
-0.051031943410634995,
-0.05874563381075859,
-0.001605435274541378,
-0.03566156327724457,
-0.003692976199090481,
0.06642132252454758,
-0.05559176206588745,
-0.07668091356754303,
0.032089706510305405,
-0.03345765173435211,
0.06714329868555069,
-0.013441958464682102,
-0.022495094686746597,
0.016253845766186714,
0.061215534806251526,
-0.03172872215509415,
0.025952953845262527,
0.03556656837463379,
-0.0361175462603569,
-0.0392904169857502,
0.00047290281509049237,
0.007742187939584255,
-0.030037790536880493,
0.0030565019696950912,
0.023559050634503365,
0.042406290769577026,
-0.009547115303575993,
-0.0280428696423769,
0.0008003427647054195,
-0.004635813180357218,
0.05156392231583595,
0.007357453461736441,
-0.005334035027772188,
-0.016377341002225876,
0.029676804319024086,
0.02918282523751259,
-0.021203145384788513,
-0.014239925891160965,
0.006606983952224255,
0.002975755138322711,
0.02169712632894516,
0.04628213495016098,
-0.04111434519290924,
-0.0014190053334459662,
-0.018343761563301086,
-0.008236167952418327,
0.03421762213110924,
0.030873756855726242,
0.02498399280011654,
-0.014467917382717133,
0.03986039385199547,
-0.02593395486474037,
0.004317576065659523,
0.03018978424370289,
0.04286227375268936,
-0.009737107902765274,
-0.02542097680270672,
-0.030816758051514626,
-0.003277367912232876,
0.0456741601228714,
-0.008107922971248627,
-0.0057615176774561405,
-0.0037784727755934,
0.006293496582657099,
-0.007922681048512459,
-0.021146148443222046,
0.031994711607694626,
0.023027071729302406,
0.03539557382464409,
-0.04651012644171715,
0.036364536732435226,
0.01759329065680504,
-0.015864361077547073,
-0.006982218939810991,
-0.026370937004685402,
0.03982239589095116,
0.006374243181198835,
0.05023397505283356,
-0.03381863608956337,
-0.04111434519290924,
-0.016643328592181206,
0.01740329898893833,
0.006834974512457848,
-0.03970840200781822,
-0.03319166228175163,
-0.04518017917871475,
-0.03264068439602852,
-0.02808086946606636,
-0.01753629371523857,
0.017735784873366356,
-0.043546244502067566,
0.02179212123155594,
-0.009851102717220783,
0.02055717259645462,
-0.01741279847919941,
-0.09985997527837753,
0.02072816528379917,
-0.0604555644094944,
-0.02300807274878025,
0.013622451573610306,
-0.01674782484769821,
-0.05935360863804817,
-0.01706131175160408,
-0.023065071552991867,
-0.03210870549082756,
0.04780207574367523,
0.022628087550401688,
0.04252028837800026,
-0.024831999093294144,
-0.011038555763661861,
0.020614169538021088,
-0.06946120411157608,
-0.03184271603822708,
-0.0007106901030056179,
0.010012596845626831,
0.01321396790444851,
-0.06425540894269943,
-0.01968320645391941,
0.03883443400263786,
0.0026527680456638336,
0.055971745401620865,
-0.014800404198467731,
-0.08078474551439285,
-0.03691551461815834,
-0.03100675158202648,
0.030512770637869835,
0.025021992623806,
0.053387850522994995,
-0.0473460927605629,
0.0002885508874896914,
0.022647088393568993,
0.049929987639188766,
0.009542365558445454,
-0.010601572692394257,
-0.03623154014348984,
-0.008701649494469166,
0.0003811721398960799,
-0.02616194635629654,
-0.013745945878326893,
-0.0332486592233181,
-0.020576171576976776,
-0.032526690512895584,
-0.003638353431597352,
0.024775002151727676,
0.01365095004439354,
0.035281579941511154,
0.012302004732191563,
0.03425562009215355,
-0.01955021172761917,
-0.03131073713302612,
0.012340002693235874,
-0.001234950264915824,
-0.0016351216472685337,
-0.019170228391885757,
-0.01845775730907917,
-0.005647522397339344,
0.06368543207645416,
-0.005082295276224613,
-0.010620572604238987,
0.025078989565372467,
-0.0002355608157813549,
0.003600355004891753,
-0.012112012133002281,
-0.0019782953895628452,
0.03463560342788696,
0.0069157215766608715,
0.01994919590651989,
-0.018049273639917374,
-0.01454391423612833,
-0.03683951497077942,
0.04069636017084122,
0.05110793933272362,
-0.03835945576429367,
0.0523998886346817,
-0.0011506411246955395,
-0.025648966431617737,
0.0007148461882025003,
-0.042634282261133194,
-0.06668731570243835,
-0.02213410846889019,
-0.02029118314385414,
0.040620364248752594,
0.07481898367404938,
0.007305205799639225,
0.004084835294634104,
-0.0497019961476326,
0.04214030131697655,
0.04385023191571236,
0.02686491794884205,
0.01178902480751276,
-0.010668070055544376,
0.012548994272947311,
-0.04841005057096481,
-0.02179212123155594,
0.03788447380065918,
0.03281167894601822,
0.019569212570786476,
0.01128554530441761,
0.026788920164108276,
-0.030569767579436302,
-0.024642007425427437,
-0.006046506576240063,
-0.025097988545894623,
-0.06638332456350327,
-0.01345145795494318,
-0.018999233841896057,
-0.05270387604832649,
0.02411002852022648,
0.009243127889931202,
0.004034962505102158,
0.017650289461016655,
0.019702205434441566,
0.059201616793870926,
0.005319785792380571,
0.010791565291583538,
-0.03096875175833702,
-0.007072465028613806,
-0.027263902127742767,
-0.028061868622899055,
0.007604443468153477,
0.01461041159927845,
0.0026480183005332947,
-0.053121861070394516,
-0.03986039385199547,
-0.05650372430682182,
-0.011969517916440964,
0.009485367685556412,
0.03408462554216385,
0.025021992623806,
-0.001592373359017074,
0.00964686181396246,
-0.038948431611061096,
-0.023122068494558334,
0.030322778970003128,
-0.02979080006480217,
-0.001810864545404911,
0.04985399171710014,
0.004616814199835062,
0.053311850875616074,
-0.049588002264499664,
-0.018429256975650787,
0.009010386653244495,
-0.00881089549511671,
-0.035585567355155945,
-0.032355695962905884,
0.00462631369009614,
0.02996179275214672,
-0.005481278989464045,
0.027757881209254265,
-0.017925778403878212,
-0.026085948571562767,
0.03311566635966301,
0.0076899402774870396,
0.010772566311061382,
-0.022780083119869232,
0.02122214436531067,
0.02186811901628971,
0.010573074221611023,
-0.040962349623441696,
0.0473460927605629,
-0.0029448813293129206,
0.03153872862458229,
0.044078223407268524,
0.0027596389409154654,
0.0017562417779117823,
-0.013964437879621983,
0.04426821693778038,
0.027833878993988037,
0.0034554856829345226,
0.01397393736988306,
0.02200111374258995,
-0.023388057947158813,
-0.01467690896242857,
0.005338784772902727,
-0.016244346275925636,
0.01942671649158001,
-0.006435990799218416,
-0.022039111703634262,
-0.02213410846889019,
-0.004749808460474014,
0.023369058966636658,
-0.0021587880328297615,
0.062355488538742065,
-0.008388161659240723,
-0.02327406220138073,
-0.03153872862458229,
-0.02992379479110241,
-0.0186382494866848,
0.07071515172719955,
0.0024509013164788485,
0.008939139544963837,
0.013479957357048988,
-0.04666212201118469,
0.019930196925997734,
-0.034179624170064926,
-0.0376184843480587,
0.02650393173098564,
0.020177187398076057,
0.0334196537733078,
0.0022122233640402555,
0.007884682156145573,
0.04772607609629631,
-0.02787187695503235,
0.01985420100390911,
0.006421741098165512,
-0.00040432746754959226,
0.01710881106555462,
0.005020547658205032,
-0.02327406220138073,
0.04419222101569176,
0.03275468200445175,
0.04024037718772888,
0.014334922656416893,
0.01618734747171402,
0.0806327536702156,
-0.04202630743384361,
-0.016510335728526115,
-0.03227970004081726,
0.03163372725248337,
0.01180802471935749,
-0.014524915255606174,
0.01271048840135336,
0.030683763325214386,
0.034141626209020615,
0.0006988156237639487,
0.0015994980931282043,
-0.013223467394709587,
-0.024471014738082886,
-0.007176960818469524,
0.008217168971896172,
-0.01994919590651989,
0.005338784772902727,
0.020063191652297974,
-0.015037894248962402,
-0.04290027171373367,
-0.06737128645181656,
-0.026085948571562767,
0.029714802280068398,
-0.012672489508986473,
0.05699770525097847,
0.03132973611354828,
-0.03438861295580864,
0.026085948571562767,
0.04537017270922661,
-0.00552402762696147,
0.01811577007174492,
-0.017203807830810547,
-0.004992048721760511,
0.0006744728307239711,
0.05749168246984482,
0.011542035266757011,
0.0040634614415466785,
0.010288085788488388,
0.023730043321847916,
-0.0034673602785915136,
0.015807362273335457,
0.03752348944544792,
-0.003531482769176364,
0.03201371058821678,
0.07250107824802399,
0.011665530502796173,
-0.004944550804793835,
-0.049322012811899185,
-0.0037808476481586695,
-0.002325031440705061,
0.011000556871294975,
-0.025097988545894623,
0.012397000566124916,
-0.07174111157655716,
-0.03062676638364792,
-0.009395121596753597,
-0.012150010094046593,
0.015997355803847313,
-0.00796067900955677,
-0.009984097443521023,
0.024566009640693665,
-0.03936641290783882,
0.011057554744184017,
0.00442919647321105,
0.03503458946943283,
-0.023388057947158813,
-0.010297585278749466,
0.0396324023604393,
-0.019588211551308632,
-0.023597048595547676,
0.009219378232955933,
-0.02939181588590145,
0.04715609923005104,
0.007613943424075842,
0.00512979319319129,
0.029030829668045044,
-0.007281456608325243,
0.02961980737745762,
0.011371041648089886,
-0.008905891329050064,
0.03552857041358948,
-0.027225902304053307,
0.01934122107923031,
-0.0014095057267695665,
-0.040088385343551636,
0.010012596845626831,
-0.0030161284375935793,
0.010231087915599346,
-0.0006614108569920063,
0.012121511623263359,
0.04784007370471954,
0.07949279993772507,
-0.00187261204700917,
0.005410031881183386,
0.008041425608098507,
-0.030018791556358337,
0.02475600317120552,
0.01758379116654396,
0.011114552617073059,
-0.005115543957799673,
0.011314043775200844,
-0.014049934223294258,
0.03767548128962517,
-0.015294384211301804,
0.052779871970415115,
0.0392904169857502,
0.023654047399759293,
0.011922019533813,
-0.035452570766210556,
0.02861284650862217,
0.011105052195489407,
0.011504036374390125,
-0.032089706510305405,
0.030208783224225044,
0.007594943977892399,
0.0049872989766299725,
-0.03885343298316002,
-0.021241145208477974,
0.009404621087014675,
-0.012273505330085754,
0.04894202947616577,
0.006545236334204674,
-0.011523035354912281,
0.005315036047250032,
0.05821365490555763,
-0.027890875935554504,
-0.012691488489508629,
-0.02213410846889019,
-0.007514197379350662,
-0.03148173168301582,
0.0034151123836636543,
0.011627531610429287,
0.0002875118516385555,
0.04597814753651619,
-0.006132002919912338,
-0.014230426400899887,
0.032564688473939896,
0.003897218033671379,
0.0034721100237220526,
0.03421762213110924,
-0.018144268542528152,
0.01981620118021965,
-0.01472440641373396,
0.01078206580132246,
0.013137971051037312,
-0.05376783385872841,
0.0009345248690806329,
0.03630753606557846,
-0.003939966205507517,
-0.005224789492785931,
0.011428039520978928,
-0.024262022227048874,
-0.0033723642118275166,
-0.002226472832262516,
-0.022191105410456657,
-0.025515971705317497,
0.021716125309467316,
0.006407491862773895,
-0.015351381152868271,
0.007661441341042519,
0.052475884556770325,
0.07124713063240051,
-0.025439975783228874,
0.04069636017084122,
0.009461618959903717,
-0.004267703276127577,
0.00512979319319129,
0.010554075241088867,
-0.013261465355753899,
0.05418581888079643,
0.03093075379729271,
-0.025021992623806,
-0.03480659797787666,
-0.017203807830810547,
-0.04852404445409775,
-0.03039877489209175,
-0.02492699585855007,
-0.011931519024074078,
0.031253740191459656,
0.0071437121368944645,
-0.004148957785218954,
0.0037855973932892084,
0.026256943121552467,
-0.01912272907793522,
-0.016557833179831505,
0.0503859706223011,
0.007552195806056261,
0.05490778759121895,
0.018714245408773422,
-0.02992379479110241,
0.0350915864109993,
0.026237942278385162,
-0.005543026607483625,
-0.00669248029589653,
0.034407615661621094,
-0.004196456167846918,
0.015826363116502762,
-0.02488899789750576,
-0.034844595938920975,
-0.033267658203840256,
0.04563616216182709,
0.0208231620490551,
-0.038568444550037384,
0.03507258743047714,
-0.022894077003002167,
0.028631847351789474,
0.01798277534544468,
-0.010820063762366772,
-0.009870102629065514,
-0.02787187695503235,
0.0055382768623530865,
-0.033970631659030914,
0.014971396885812283,
-0.008706399239599705,
0.012273505330085754,
-0.020766163244843483,
0.013375461101531982,
0.004270078148692846,
-0.015807362273335457,
-0.0035718560684472322,
0.028764842078089714,
0.01902773417532444,
-0.02642793580889702,
0.018970735371112823,
0.03944241255521774,
0.058859627693891525,
-0.042064305394887924,
0.00962786190211773,
-0.02519298531115055,
-0.011257046833634377,
-0.011019555851817131,
0.04388823360204697,
0.017260804772377014,
0.017688287422060966,
0.023521052673459053,
0.015389380045235157,
0.0007932180305942893,
-0.0022977199405431747,
0.03866344317793846,
-0.020310182124376297,
-0.016025854274630547,
0.029638806357979774,
0.0317477211356163,
-0.010231087915599346,
0.029296819120645523,
0.009133881889283657,
-0.01249199640005827,
-0.07630092650651932,
0.03818846121430397,
-0.022077111527323723,
0.00022724865993950516,
0.028802840039134026,
-0.025572970509529114,
0.01789727993309498,
-0.03334365785121918,
0.012757985852658749,
0.04426821693778038,
-0.013242466375231743,
-0.0007837184239178896,
-0.0270359106361866,
-0.03351464867591858,
0.03955640643835068,
0.02874584123492241,
0.004944550804793835,
0.011770025826990604,
0.00635524420067668,
0.002610019873827696,
-0.04221630096435547,
-0.04369824007153511,
0.041228339076042175,
-0.03887243568897247,
-0.03556656837463379,
0.00000281092184195586,
0.034369613975286484,
0.01631084270775318,
-0.0248509980738163,
-0.005110794212669134,
0.047042105346918106,
0.02948681265115738,
-0.0004916051984764636,
-0.06319145113229752,
-0.024129027500748634,
-0.004125208593904972,
-0.04594014957547188,
-0.01902773417532444,
0.0042962017469108105,
-0.016082851216197014,
-0.031918715685606,
-0.03854944556951523,
0.05958160012960434,
0.013508455827832222,
0.04860004037618637,
-0.005039547104388475,
0.002161162905395031,
-0.029543809592723846,
0.0399743914604187,
-0.016852321103215218,
-0.02401503175497055,
-0.06376142799854279,
0.01766928844153881,
0.0006661606603302062,
-0.026047950610518456,
0.008896391838788986,
-0.020329181104898453,
0.0015840611886233091,
0.026408936828374863,
-0.044420208781957626,
-0.035623565316200256,
-0.04115234315395355,
-0.005756767932325602,
0.001061582239344716,
0.0016885569784790277,
0.002971005393192172,
-0.01977820321917534,
-0.0029163826256990433,
-0.06721929460763931,
0.022932076826691628,
-0.009841603226959705,
0.003436486469581723,
0.013422959484159946,
-0.0109150605276227,
0.008744398131966591,
0.021317141130566597,
-0.022685086354613304,
-0.0037547238171100616,
0.004051586613059044,
0.0018512379610911012,
0.01555087324231863,
0.05806165933609009,
0.026446934789419174,
-0.017336800694465637,
-0.004944550804793835,
-0.0068397242575883865,
0.037029508501291275,
0.014686408452689648,
-0.008017676882445812,
0.062051501125097275,
-0.02108914963901043,
-0.01172252744436264,
0.0024675256572663784,
-0.0016600581584498286,
0.00938087236136198,
0.002840385539457202,
-0.02764388546347618,
-0.0005744299851357937,
0.030303779989480972,
-0.018742745742201805,
-0.012843482196331024,
0.005139293149113655,
-0.02445201575756073,
-0.0004476694739423692,
-0.03264068439602852,
0.050499964505434036,
-0.014572412706911564
] |
Applications in fields ranging from home care to warehouse fulfillment to
surgical assistance require robots to reliably manipulate the shape of 3D
deformable objects. Analytic models of elastic, 3D deformable objects require
numerous parameters to describe the potentially infinite degrees of freedom
present in determining the object's shape. Previous attempts at performing 3D
shape control rely on hand-crafted features to represent the object shape and
require training of object-specific control models. We overcome these issues
through the use of our novel DeformerNet neural network architecture, which
operates on a partial-view point cloud of the manipulated object and a point
cloud of the goal shape to learn a low-dimensional representation of the object
shape. This shape embedding enables the robot to learn a visual servo
controller that computes the desired robot end-effector action to iteratively
deform the object toward the target shape. We demonstrate both in simulation
and on a physical robot that DeformerNet reliably generalizes to object shapes
and material stiffness not seen during training. Crucially, using DeformerNet,
the robot successfully accomplishes three surgical sub-tasks: retraction
(moving tissue aside to access a site underneath it), tissue wrapping (a
sub-task in procedures like aortic stent placements), and connecting two
tubular pieces of tissue (a sub-task in anastomosis). | [
0.005612044129520655,
0.016791872680187225,
-0.019580192863941193,
-0.04344465583562851,
0.0827820748090744,
0.00524912029504776,
-0.01123294048011303,
0.019119897857308388,
-0.05785539746284485,
0.028325775638222694,
0.019597895443439484,
0.021970178931951523,
0.00023899873485788703,
-0.04280732944607735,
-0.009781244210898876,
0.015526065602898598,
0.03802735358476639,
0.009073100052773952,
-0.014428441412746906,
-0.08186148852109909,
0.0242716483771801,
-0.0030118266586214304,
-0.033105749636888504,
-0.05973197892308235,
0.03682350739836693,
0.030521022155880928,
0.04284273460507393,
-0.011356865055859089,
-0.051092617213726044,
0.009542245417833328,
0.034061744809150696,
0.015366733074188232,
-0.010763794183731079,
0.040930744260549545,
-0.005488119088113308,
0.00833397451788187,
-0.016809577122330666,
0.04875573888421059,
-0.01798686757683754,
0.03407944738864899,
0.04826004058122635,
0.0013222383568063378,
-0.004589660558849573,
-0.010905423201620579,
0.053783565759658813,
-0.030467912554740906,
-0.038841720670461655,
0.0179691631346941,
0.024183129891753197,
-0.003317213850095868,
-0.02611282467842102,
0.0032109920866787434,
0.039443641901016235,
-0.024678831920027733,
0.002454162808135152,
-0.005085361655801535,
0.04762271046638489,
0.06440573185682297,
0.10438048094511032,
0.0002330514253117144,
0.005479267332702875,
-0.01634928397834301,
-0.060758788138628006,
-0.001501487335190177,
-0.027511408552527428,
-0.07909972965717316,
0.06465358287096024,
-0.006979648023843765,
0.013711445964872837,
-0.0011042626574635506,
-0.07499249279499054,
-0.04379872977733612,
-0.09262528270483017,
-0.013826519250869751,
-0.0005499183898791671,
0.021722327917814255,
0.032574642449617386,
0.019102195277810097,
0.02460801787674427,
-0.013994703069329262,
0.030113840475678444,
0.0628478154540062,
0.02696259692311287,
-0.05583718419075012,
0.07980787009000778,
-0.007019481156021357,
0.042453255504369736,
-0.06815889477729797,
0.03204353153705597,
-0.016473209485411644,
-0.0658574253320694,
0.06111285835504532,
0.022129511460661888,
0.006019227206707001,
0.06522009521722794,
0.034026335924863815,
0.01095853466540575,
-0.010338908061385155,
-0.04103696718811989,
0.019279230386018753,
-0.04447146877646446,
0.01377340778708458,
-0.019651006907224655,
-0.0009736985084600747,
-0.014401886612176895,
-0.05254431441426277,
0.011356865055859089,
0.03802735358476639,
-0.023297950625419617,
0.07895810157060623,
0.030149247497320175,
-0.04659590125083923,
-0.0012569562532007694,
0.0634143278002739,
-0.04018719494342804,
-0.03503544256091118,
-0.07088525593280792,
-0.05541229620575905,
0.04036422818899155,
-0.02513912506401539,
0.00856854673475027,
-0.002777253743261099,
0.006975221913307905,
0.018181607127189636,
-0.04978254809975624,
0.015101178549230099,
-0.05059691518545151,
-0.02457261085510254,
0.011002792976796627,
0.00570056214928627,
-0.006899981759488583,
-0.009604208171367645,
0.028325775638222694,
0.01883663982152939,
0.029742063954472542,
0.03512396290898323,
0.018093088641762733,
0.0030228912364691496,
-0.028007110580801964,
0.02457261085510254,
-0.015225104056298733,
-0.01586243323981762,
-0.022713730111718178,
0.03381389379501343,
-0.0015191909624263644,
0.052898384630680084,
-0.002443097997456789,
0.06709668040275574,
-0.009329802356660366,
-0.04238244146108627,
-0.06408706307411194,
-0.0022129511926323175,
-0.014446144923567772,
0.04344465583562851,
0.09177551418542862,
-0.04443605989217758,
-0.007537311874330044,
0.011489642783999443,
-0.01676531881093979,
-0.02875066176056862,
0.042771920561790466,
-0.04436524584889412,
-0.00689555611461401,
0.07428434491157532,
0.03590292111039162,
0.028980808332562447,
0.04220540449023247,
-0.03540721908211708,
0.013419335708022118,
0.025918085128068924,
-0.03546033054590225,
-0.007913513109087944,
0.06401625275611877,
0.041249409317970276,
-0.0272812619805336,
0.011197533458471298,
0.0015634499723091722,
-0.05364193767309189,
0.027794666588306427,
-0.04822463169693947,
-0.054704152047634125,
0.03452203795313835,
0.0302908755838871,
0.033389005810022354,
0.005333212204277515,
0.06978762894868851,
0.007386831101030111,
0.0022483584471046925,
0.04174511134624481,
-0.04479013383388519,
0.05509363114833832,
0.01728757470846176,
0.02786548063158989,
-0.010852312669157982,
0.013994703069329262,
-0.10275174677371979,
-0.025440087541937828,
-0.0017316342564299703,
0.012321712449193,
0.04259488359093666,
-0.05059691518545151,
-0.06022768095135689,
0.03546033054590225,
-0.006262651644647121,
0.01894286274909973,
-0.00577137665823102,
-0.009073100052773952,
-0.07662121951580048,
0.03246841952204704,
-0.06458276510238647,
0.06426410377025604,
-0.028892289847135544,
-0.05360652878880501,
-0.02129744179546833,
-0.07099147140979767,
-0.02935258485376835,
-0.004140431527048349,
-0.042701106518507004,
-0.0008088336326181889,
0.03505314514040947,
-0.03324737772345543,
0.013985851779580116,
0.012967893853783607,
-0.04896818473935127,
-0.018031125888228416,
0.01527821458876133,
0.07591307908296585,
-0.01287052407860756,
-0.016738763079047203,
0.020199818536639214,
-0.03937282785773277,
-0.0031800109427422285,
0.06036930903792381,
-0.009320950135588646,
-0.013985851779580116,
-0.014171739108860493,
-0.02995450794696808,
-0.025971194729208946,
-0.03530099615454674,
-0.03002532199025154,
0.04886196181178093,
0.0020702157635241747,
0.02673245035111904,
0.04942847788333893,
0.09354586899280548,
0.06624690443277359,
-0.005041102878749371,
0.05937790498137474,
-0.004414837807416916,
-0.034628260880708694,
-0.05856354162096977,
-0.010241538286209106,
0.03452203795313835,
0.019863449037075043,
-0.0050942134112119675,
-0.0395144559442997,
0.002064683474600315,
0.01772131398320198,
0.015384436585009098,
0.0350000374019146,
0.030715761706233025,
0.04765811562538147,
0.021226627752184868,
0.027989406138658524,
0.02816644310951233,
-0.015118882060050964,
-0.032202865928411484,
0.0353718101978302,
0.023563504219055176,
-0.001167331705801189,
-0.024802757427096367,
-0.04532124102115631,
-0.013605223968625069,
0.002673245035111904,
-0.03862927481532097,
-0.03147701919078827,
0.02395298331975937,
-0.004014293663203716,
0.08922619372606277,
-0.015641139820218086,
-0.01571195386350155,
-0.014401886612176895,
-0.0025603845715522766,
0.011339161545038223,
-0.021669218316674232,
-0.011392273008823395,
-0.011525049805641174,
0.01569424942135811,
-0.04344465583562851,
0.01578276790678501,
0.014331071637570858,
-0.008502158336341381,
0.007953346706926823,
0.029777470976114273,
0.08802234381437302,
-0.03572588413953781,
-0.01606602594256401,
-0.028697550296783447,
0.05031365901231766,
-0.007054888177663088,
-0.028998512774705887,
0.0006273716571740806,
0.028343478217720985,
0.012693488039076328,
-0.01827012561261654,
0.008586250245571136,
0.011887974105775356,
0.05856354162096977,
0.006249374244362116,
0.03696513548493385,
0.012852820567786694,
-0.0212620347738266,
-0.06971681118011475,
-0.04401117190718651,
-0.007271757815033197,
0.053252458572387695,
0.05445630103349686,
-0.04677293449640274,
-0.014295664615929127,
-0.006877852138131857,
-0.055022817105054855,
0.03600914031267166,
-0.03476988896727562,
-0.011746345087885857,
0.06344973295927048,
0.007577145006507635,
0.04415280371904373,
-0.04075370728969574,
-0.03445122390985489,
-0.024838164448738098,
-0.04776433855295181,
0.0357435867190361,
0.02335106022655964,
-0.015534916892647743,
-0.012065010145306587,
0.051411282271146774,
-0.04408198595046997,
-0.036469437181949615,
-0.00562974764034152,
-0.03388470783829689,
-0.008046290837228298,
0.004762270953506231,
-0.03485840559005737,
-0.028007110580801964,
0.0016132413875311613,
-0.05842190980911255,
-0.0425240695476532,
-0.030786577612161636,
-0.05477496609091759,
0.010684127919375896,
0.0010384273482486606,
-0.040966153144836426,
-0.07499249279499054,
0.015649991109967232,
0.008267585188150406,
-0.0683005228638649,
0.022005585953593254,
0.004952584858983755,
-0.05884679779410362,
0.001944077666848898,
0.011365717276930809,
-0.04953470081090927,
-0.00856854673475027,
0.032521530985832214,
-0.0888013020157814,
-0.014304516837000847,
-0.021669218316674232,
-0.04206377640366554,
-0.01441073790192604,
0.007214220706373453,
-0.0134990019723773,
0.0007645746227353811,
0.00815693847835064,
0.0011761835776269436,
0.03476988896727562,
0.0019020315958186984,
0.02404150180518627,
0.03450433537364006,
-0.044825538992881775,
0.034044042229652405,
-0.02280224859714508,
-0.03144161030650139,
-0.03418567031621933,
-0.031370796263217926,
0.02007589302957058,
0.056545328348875046,
0.01528706680983305,
0.014676292426884174,
0.0059218574315309525,
0.05070313811302185,
0.031016724184155464,
-0.05987360700964928,
-0.03482300043106079,
-0.011250643990933895,
0.04280732944607735,
-0.021740032359957695,
0.055058225989341736,
-0.021120406687259674,
0.020536186173558235,
-0.06150234118103981,
-0.02216491848230362,
0.017128242179751396,
-0.02485586702823639,
0.03360145166516304,
-0.009568801149725914,
-0.03710676729679108,
-0.01469399593770504,
-0.05038447305560112,
0.061962634325027466,
0.035265590995550156,
0.023191727697849274,
0.024643424898386,
0.03785031661391258,
-0.01691579818725586,
0.025316162034869194,
-0.019739525392651558,
0.010108760558068752,
0.01182601135224104,
-0.013136078603565693,
-0.06175018846988678,
0.02425394579768181,
-0.00976354070007801,
-0.010294648818671703,
0.017376093193888664,
-0.02250128798186779,
0.0334952287375927,
0.012250897474586964,
0.022607509046792984,
-0.014915291219949722,
-0.05095098912715912,
0.007470923010259867,
0.03777950257062912,
-0.019367748871445656,
-0.034044042229652405,
0.044506873935461044,
0.015472955070436,
0.01827012561261654,
-0.04457768797874451,
-0.03689432144165039,
0.03140620142221451,
-0.00419575534760952,
0.007652385160326958,
-0.003317213850095868,
-0.0019883366767317057,
0.00563417375087738,
-0.017526572570204735,
-0.03218516334891319,
-0.05059691518545151,
0.026148231700062752,
-0.02193477191030979,
-0.031122945249080658,
-0.014720551669597626,
-0.06486602872610092,
-0.033389005810022354,
0.006036930717527866,
0.0036602213513106108,
0.04011638090014458,
-0.026165934279561043,
0.012498748488724232,
-0.06996466219425201,
0.0015900054713711143,
0.017862942069768906,
0.0061475783586502075,
-0.003996589686721563,
0.053818974643945694,
-0.015030364505946636,
-0.04985336586833,
-0.03200812637805939,
-0.00002448077248118352,
0.02547549456357956,
0.019084490835666656,
-0.0005897514638490975,
-0.004523272160440683,
0.0056784325279295444,
0.03533640503883362,
0.05548311397433281,
-0.045392055064439774,
-0.0419575534760952,
0.034061744809150696,
0.00341237080283463,
0.02012900449335575,
-0.017526572570204735,
0.013826519250869751,
-0.011666678823530674,
-0.006966370157897472,
-0.04432983696460724,
-0.002207418903708458,
0.03156553581357002,
0.014313368126749992,
-0.014817921444773674,
0.05435008183121681,
-0.011339161545038223,
-0.05732428655028343,
-0.025670234113931656,
0.02184625342488289,
-0.0009449301287531853,
0.006714093964546919,
-0.008099401369690895,
0.0419575534760952,
0.036398619413375854,
0.007192091550678015,
-0.02581186220049858,
-0.022642916068434715,
-0.007886958308517933,
0.0030339560471475124,
-0.0011640123557299376,
0.0237051323056221,
0.05640370026230812,
-0.014180591329932213,
-0.04047045111656189,
0.018031125888228416,
0.005638599395751953,
0.01885434426367283,
-0.04794137552380562,
-0.006984074134379625,
0.0002868537849280983,
-0.0018433883087709546,
0.026006601750850677,
0.007590422406792641,
0.0455336831510067,
0.011693233624100685,
0.008254308253526688,
-0.0036093234084546566,
-0.0065503353253006935,
-0.022589806467294693,
0.051163431257009506,
0.028626736253499985,
-0.015065771527588367,
0.014658588916063309,
0.05328786373138428,
0.0055191004648804665,
0.04479013383388519,
-0.01545525062829256,
-0.024448685348033905,
-0.02220032550394535,
-0.02664393186569214,
-0.013162633404135704,
0.03930201381444931,
-0.030999019742012024,
-0.07704611122608185,
0.020607002079486847,
0.041815925389528275,
-0.019633302465081215,
-0.018146200105547905,
-0.029919100925326347,
0.03269856795668602,
0.04493176192045212,
-0.026325266808271408,
-0.016340430825948715,
-0.014490404166281223,
0.0069132596254348755,
-0.0005200435407459736,
-0.029901396483182907,
0.029016215354204178,
-0.01753542572259903,
-0.012888227589428425,
0.003578342031687498,
0.010330055840313435,
-0.005766951013356447,
-0.046985380351543427,
-0.011445383541285992,
-0.0024054779205471277,
0.0052756755612790585,
-0.013755704276263714,
0.006647705566138029,
-0.044259022921323776,
0.010321204550564289,
0.037814911454916,
0.0022549971472471952,
0.023474985733628273,
0.00916161760687828,
-0.00643968814983964,
-0.023315653204917908,
0.025440087541937828,
0.04178052023053169,
0.011020496487617493,
0.04146185517311096,
0.004740141332149506,
-0.013870778493583202,
0.00011604162864387035,
-0.011480790562927723,
-0.004802104085683823,
-0.003914710599929094,
0.021049590781331062,
0.010507091879844666,
0.026502303779125214,
-0.02099648118019104,
-0.030804280191659927,
0.007842699065804482,
-0.003649156540632248,
0.0509863942861557,
0.031335387378931046,
-0.02519223652780056,
0.016119135543704033,
-0.025298457592725754,
0.02788318507373333,
-0.017765572294592857,
0.009258987382054329,
0.022961581125855446,
-0.07782506942749023,
-0.014543515630066395,
0.013720297254621983,
0.021385960280895233,
0.038558460772037506,
0.015304770320653915,
-0.003934627398848534,
0.01569424942135811,
0.021970178931951523,
-0.002108942484483123,
0.011489642783999443,
-0.020571595057845116,
-0.016535170376300812,
0.008904915302991867,
-0.007475349120795727,
-0.012011898681521416,
0.008369381539523602,
0.011480790562927723,
0.024183129891753197,
-0.007701070047914982,
-0.01713709346950054,
0.021970178931951523,
-0.02763533405959606,
0.0683005228638649,
-0.006647705566138029,
-0.01892515830695629,
0.00990516971796751,
0.008196771144866943,
-0.05165913328528404,
0.005581062752753496,
0.005284527316689491,
0.015127734281122684,
0.009462579153478146,
-0.025404680520296097,
-0.019279230386018753,
0.02246588096022606,
0.00863493513315916,
-0.012613821774721146,
0.01486217975616455,
0.02579415962100029,
0.014782513491809368,
-0.016428949311375618,
0.04659590125083923,
0.0305741336196661,
0.020500779151916504,
-0.01943856291472912,
0.053889788687229156,
-0.031937312334775925,
-0.005904153920710087,
0.02066011168062687,
0.03696513548493385,
-0.025670234113931656,
0.019881153479218483,
-0.01122408825904131,
0.04528583213686943,
0.0093120988458395,
-0.017561981454491615,
0.005328786559402943,
0.04974714294075966,
-0.017615091055631638,
-0.009604208171367645,
-0.008913767524063587,
-0.04227621853351593,
-0.027511408552527428,
0.014472700655460358,
0.008449047803878784,
-0.02099648118019104,
0.00021382640989031643,
0.06826511770486832,
-0.0011291583068668842,
0.07669203728437424,
-0.009338653646409512,
-0.03774409368634224,
-0.019243823364377022,
0.0038726646453142166,
0.019704116508364677,
-0.008431344293057919,
0.02250128798186779,
0.021049590781331062,
0.028679847717285156,
-0.01545525062829256,
-0.016579430550336838,
-0.03530099615454674,
0.010746090672910213,
-0.01214467640966177,
-0.0012691274750977755,
-0.011445383541285992,
-0.00975468847900629,
0.02404150180518627,
-0.010285797528922558,
-0.014162887819111347,
-0.019119897857308388,
0.011507346294820309,
-0.003934627398848534,
0.032202865928411484,
0.02641378529369831,
-0.02184625342488289,
0.012994449585676193,
-0.03117605671286583,
0.11089541018009186,
0.0037177579943090677,
-0.018181607127189636,
0.0004937647609040141,
-0.01542869582772255,
-0.010613313876092434,
0.029193252325057983,
0.009046544320881367,
-0.00668753869831562,
0.018217014148831367,
0.013631779700517654,
0.018995972350239754,
0.010569054633378983,
0.009949428960680962,
0.002934373216703534,
-0.0023213857784867287,
-0.0027285688556730747,
0.05913005396723747,
-0.0026267729699611664,
-0.009975983761250973,
0.008294140920042992,
0.0017626156331971288,
0.00018187692330684513,
-0.016880391165614128,
0.027653038501739502,
-0.03259234502911568,
0.003954543732106686,
-0.018659604713320732,
0.017898349091410637,
-0.04733945056796074,
0.0006312443292699754,
-0.011330310255289078,
0.028697550296783447,
-0.04850789159536362,
-0.029210954904556274,
0.014401886612176895,
0.0010666424641385674,
-0.02310321107506752,
0.0333004891872406,
0.009489134885370731,
0.000351859227521345,
0.02216491848230362,
-0.005766951013356447,
-0.02935258485376835,
0.01950937695801258,
-0.016269616782665253,
-0.004709159955382347,
-0.0012890440411865711,
-0.0033105749171227217,
0.030060729011893272,
0.01455236691981554,
-0.03138849884271622,
0.06784023344516754,
-0.04857870563864708,
0.04369250684976578,
0.016791872680187225,
-0.04709159955382347,
0.014003555290400982,
0.016225358471274376,
0.010985089465975761,
0.012649228796362877,
0.007639107294380665,
0.014083221554756165,
0.07233694940805435,
-0.014871031977236271,
0.04716241732239723,
0.03416796773672104,
0.02852051518857479,
0.0014339924091473222,
-0.006320188753306866,
0.010409722104668617,
-0.022979285567998886,
0.023297950625419617,
0.021775439381599426,
0.02460801787674427,
-0.04949929192662239,
-0.007749754935503006,
-0.017632795497775078,
0.009409468621015549,
-0.01892515830695629,
0.004410411696881056,
0.005324360448867083,
-0.024838164448738098,
-0.019279230386018753,
0.02158069983124733,
-0.01680072583258152,
-0.01244563702493906,
0.028591329231858253,
-0.02520993910729885,
0.012843968346714973,
-0.025121422484517097,
0.0069619445130229,
-0.013091819360852242,
-0.011507346294820309,
-0.005687284749001265,
0.007329294458031654,
0.035495735704898834,
-0.018482567742466927,
-0.04372791573405266,
0.003899219911545515,
0.013082967139780521,
-0.028077924624085426,
0.03335360065102577,
0.0133573729544878,
0.0012945764465257525,
0.015481806360185146,
-0.005266823805868626,
0.009382912889122963,
-0.022129511460661888,
0.010330055840313435,
0.012835117056965828,
-0.024944385513663292,
0.000004935918241244508,
-0.02039455808699131,
-0.004545401781797409,
0.0400809720158577,
-0.017491165548563004,
-0.012967893853783607,
0.008364955894649029,
0.027989406138658524,
0.025440087541937828,
-0.03538951650261879,
0.013065263628959656,
-0.04864951968193054,
0.00023166832397691905,
0.006514928303658962,
-0.014888735488057137,
-0.011657826602458954,
0.015366733074188232,
0.005430581979453564,
0.046666715294122696,
0.014508107677102089,
0.017508869990706444,
0.019367748871445656,
-0.0005006801802664995,
-0.0018046617042273283,
-0.022890767082571983,
-0.0019750590436160564,
0.02729896642267704,
0.03177797794342041,
0.0035075275227427483,
0.012507599778473377,
-0.017446907237172127,
0.019615599885582924,
-0.010515944100916386,
-0.02313861809670925,
0.0068203154951334,
-0.028007110580801964,
0.009462579153478146,
0.03176027536392212,
-0.013985851779580116,
0.04263029247522354,
-0.02365202270448208,
0.021952476352453232,
-0.0019230545731261373,
-0.00036873298813588917,
0.009860910475254059,
-0.009205876849591732,
0.03599143773317337,
0.03303493559360504,
-0.035814400762319565,
0.010374315083026886,
0.00134658080060035,
0.018482567742466927,
0.04974714294075966,
-0.02460801787674427,
0.03087509423494339,
-0.013091819360852242,
0.014587773941457272,
-0.0018522401805967093,
-0.03788572549819946,
-0.051092617213726044,
-0.017145946621894836,
-0.003401305992156267,
-0.002250571269541979,
0.008404788561165333,
-0.01800457015633583,
0.02432475984096527,
-0.018801232799887657,
-0.04716241732239723,
-0.009374061599373817,
0.04160348325967789,
0.026006601750850677,
0.013720297254621983,
0.018199309706687927,
-0.033778488636016846,
0.0575721375644207,
-0.014207147061824799,
0.012631525285542011,
-0.04436524584889412,
0.026590822264552116,
-0.024802757427096367,
0.002752911299467087,
0.04673752933740616,
-0.01603061892092228,
-0.04826004058122635,
0.00990516971796751,
-0.009852058254182339,
-0.026626229286193848,
-0.005930709186941385,
-0.019279230386018753,
0.029193252325057983,
0.009639615193009377,
-0.04875573888421059,
-0.016712207347154617,
-0.04259488359093666,
-0.01078149862587452,
0.027405187487602234,
0.010400870814919472,
-0.02878606878221035,
0.04850789159536362,
-0.013348521664738655,
-0.055624742060899734,
-0.03572588413953781,
-0.005204861052334309,
0.05466874688863754,
0.021651513874530792,
0.008311844430863857,
-0.04457768797874451,
-0.004868492484092712,
0.05877598375082016,
0.0007761926390230656,
-0.04036422818899155,
-0.0028657717630267143,
-0.03126457333564758,
0.0019473970169201493,
-0.04078911617398262,
0.012773154303431511,
-0.028662143275141716,
0.016862688586115837,
0.01633157953619957,
0.03151242434978485,
0.00008533692744094878,
0.005346490070223808,
-0.004895048215985298,
0.003461055690422654,
0.07761262357234955,
0.053571123629808426,
-0.009860910475254059,
-0.019102195277810097,
0.028095629066228867,
0.014021258801221848,
-0.005209287162870169,
0.003494249889627099,
0.012755450792610645,
0.007701070047914982,
0.02790088765323162,
-0.07456760108470917,
0.013419335708022118,
0.01545525062829256,
0.01719905622303486,
-0.002834790386259556,
-0.01708398386836052,
-0.034929223358631134,
0.0031556684989482164,
-0.01857108622789383,
-0.048153817653656006,
0.037071358412504196,
-0.004268782678991556,
0.005718265660107136,
-0.004138218704611063,
0.024962089955806732,
-0.0002659690799191594,
0.019544783979654312,
-0.0321674570441246,
-0.008210049010813236,
-0.03561966121196747,
0.008816397748887539,
-0.008453473448753357,
0.003542934777215123,
-0.06277699768543243,
0.05810324475169182,
0.0009310992318205535,
0.016375837847590446,
-0.025599420070648193,
0.008683620020747185,
-0.003981098998337984,
0.02575875259935856,
-0.009816651232540607,
-0.03121146373450756,
0.006200689356774092,
0.031636349856853485,
0.02993680350482464,
-0.06419328600168228,
0.05243809148669243,
-0.024147722870111465,
0.000257947132922709,
-0.0031091964337974787,
-0.01080805342644453,
-0.06741534173488617,
-0.055872593075037,
-0.012038454413414001,
-0.030096136033535004,
-0.009878613986074924,
0.024430980905890465,
-0.03269856795668602,
-0.014180591329932213,
0.04836625978350639,
0.013136078603565693,
-0.023439578711986542,
0.042701106518507004,
0.013127226382493973,
0.04075370728969574,
0.00072197534609586,
-0.041532669216394424,
0.05123424530029297,
0.04726863652467728,
0.02722815051674843,
0.03303493559360504,
-0.012118120677769184,
-0.016490912064909935,
0.040293414145708084,
-0.04170970246195793,
-0.04135563224554062,
-0.0139238890260458,
-0.02306780405342579,
-0.01621650718152523,
0.03138849884271622,
-0.022554397583007812,
0.0329287126660347,
-0.016544023528695107,
-0.009568801149725914,
0.01649976335465908,
-0.02522764354944229,
0.02432475984096527,
-0.05597881227731705
] |
Graph Contrastive Learning (GCL) is an effective way to learn generalized
graph representations in a self-supervised manner, and has grown rapidly in
recent years. However, the underlying community semantics has not been well
explored by most previous GCL methods. Research that attempts to leverage
communities in GCL regards them as having the same influence on the graph,
leading to extra representation errors. To tackle this issue, we define
''community strength'' to measure the difference of influence among
communities. Under this premise, we propose a Community-Strength-enhanced Graph
Contrastive Learning (CSGCL) framework to preserve community strength
throughout the learning process. Firstly, we present two novel graph
augmentation methods, Communal Attribute Voting (CAV) and Communal Edge
Dropping (CED), where the perturbations of node attributes and edges are guided
by community strength. Secondly, we propose a dynamic ''Team-up'' contrastive
learning scheme, where community strength is used to progressively fine-tune
the contrastive objective. We report extensive experiment results on three
downstream tasks: node classification, node clustering, and link prediction.
CSGCL achieves state-of-the-art performance compared with other GCL methods,
validating that community strength brings effectiveness and generality to graph
representations. Our code is available at
https://github.com/HanChen-HUST/CSGCL. | [
0.024471139535307884,
0.010499386116862297,
-0.038607459515333176,
0.03139941766858101,
0.06704466789960861,
0.007862197235226631,
-0.01864546164870262,
0.020702552050352097,
-0.060264501720666885,
-0.026248466223478317,
-0.03597438707947731,
0.030362645164132118,
-0.0040524667128920555,
-0.045190148055553436,
0.018266957253217697,
0.04440022632479668,
0.009479070082306862,
-0.008335327729582787,
0.014918015338480473,
-0.04815235733985901,
0.009849346242845058,
-0.07938721030950546,
-0.0020313761197030544,
0.018513808026909828,
0.008141960948705673,
0.022924209013581276,
0.05358307436108589,
0.004186177626252174,
-0.08425839990377426,
0.057795993983745575,
0.0563478022813797,
-0.012408365495502949,
0.05460339039564133,
-0.0013052234426140785,
-0.047625742852687836,
0.008265386335551739,
0.04377486929297447,
0.04249124601483345,
-0.02713712863624096,
0.007121644914150238,
0.0001729241048451513,
0.02223302610218525,
-0.0073972949758172035,
-0.012531790882349014,
0.014366715215146542,
-0.04535471647977829,
-0.032518476247787476,
-0.04492684081196785,
-0.0014574481174349785,
-0.057466860860586166,
0.006113670766353607,
-0.04578258842229843,
0.032880522310733795,
-0.018563177436590195,
-0.000240550929447636,
0.02141018956899643,
0.0490410216152668,
-0.013774272985756397,
0.05842135101556778,
0.045519281178712845,
-0.01943538337945938,
0.008639777079224586,
-0.04607881233096123,
-0.008623320609331131,
0.015905417501926422,
-0.027696656063199043,
0.009446156211197376,
0.019073335453867912,
0.0679333359003067,
-0.03864037245512009,
-0.034559108316898346,
0.038179587572813034,
0.004161492455750704,
-0.019780974835157394,
0.00693650683388114,
0.034855328500270844,
0.03218933939933777,
0.009906943887472153,
-0.021936805918812752,
-0.0034785387106239796,
0.03265012800693512,
0.027252325788140297,
-0.03801501914858818,
0.01626746542751789,
0.05710481107234955,
-0.007969166152179241,
0.013329941779375076,
-0.050818346440792084,
-0.00022589416767004877,
0.02616618201136589,
-0.005142724607139826,
-0.042293764650821686,
-0.0022525133099406958,
-0.03969360515475273,
-0.014169234782457352,
-0.016728254035115242,
0.0009148906683549285,
0.012177971191704273,
-0.045190148055553436,
0.04262290149927139,
-0.04031895846128464,
0.00979174766689539,
0.002229885198175907,
-0.024076178669929504,
0.032880522310733795,
0.005307291634380817,
-0.03342359513044357,
-0.004825932439416647,
0.025047125294804573,
0.1449507772922516,
0.005883276928216219,
0.04897519201040268,
0.0014924185816198587,
0.05802638828754425,
-0.02363184653222561,
-0.023747043684124947,
-0.05315519869327545,
-0.008034992963075638,
0.03339068219065666,
-0.02899673767387867,
0.009100564755499363,
0.025442086160182953,
-0.01501675508916378,
-0.028766343370079994,
-0.08169114589691162,
0.03383501246571541,
-0.059474579989910126,
-0.043511562049388885,
-0.02491547167301178,
0.03159689903259277,
-0.054142601788043976,
0.030165163800120354,
0.03422997519373894,
-0.03110319748520851,
0.04621046409010887,
-0.002647474640980363,
0.059375837445259094,
0.06931569427251816,
-0.020505070686340332,
0.0020488614682108164,
0.027252325788140297,
0.002919010352343321,
0.012482420541346073,
0.005739280488342047,
-0.021113969385623932,
0.003388026962056756,
0.004706621170043945,
0.11829089373350143,
-0.04861314594745636,
0.005105696618556976,
0.020719008520245552,
0.032057687640190125,
0.024717990309000015,
0.007553633768111467,
0.013173602521419525,
0.011067142710089684,
0.01775679923593998,
-0.042293764650821686,
-0.011947577819228172,
-0.04137219116091728,
0.09538313746452332,
-0.004879416897892952,
0.006533317267894745,
0.0450914092361927,
-0.031169023364782333,
0.04644085839390755,
-0.00896891113370657,
0.010334818623960018,
-0.06859160214662552,
0.04255707189440727,
0.022430507466197014,
0.038179587572813034,
0.013683761470019817,
0.025145865976810455,
-0.04163549840450287,
0.013642619363963604,
0.017230184748768806,
-0.08899793028831482,
0.011174111627042294,
0.05200323089957237,
-0.05180574953556061,
-0.04953472316265106,
0.02545854263007641,
0.02373058721423149,
-0.01467939279973507,
-0.019172076135873795,
0.03893659636378288,
0.012729271315038204,
0.0023162830621004105,
0.009265132248401642,
0.002435594331473112,
0.012005175463855267,
0.07800484448671341,
-0.04775739461183548,
0.007533062715083361,
-0.026840906590223312,
-0.023812871426343918,
0.006163041107356548,
-0.010812063701450825,
-0.015798449516296387,
-0.04380778223276138,
-0.0344274528324604,
0.004768333863466978,
-0.0038714429829269648,
0.04456479102373123,
-0.020488614216446877,
0.03416414558887482,
-0.020784834399819374,
-0.043050773441791534,
-0.0027133014518767595,
-0.041503842920064926,
0.020603811368346214,
-0.04973220080137253,
-0.0009956314461305737,
-0.007376723922789097,
0.015115495771169662,
0.05430717021226883,
-0.02759791724383831,
0.012293168343603611,
0.006409891881048679,
0.03292989358305931,
0.010285449214279652,
0.06266718357801437,
-0.05200323089957237,
0.000017870966985356063,
0.01032659038901329,
0.023039406165480614,
-0.049304328858852386,
-0.01123993843793869,
0.010803835466504097,
-0.027334608137607574,
-0.010178480297327042,
-0.002016976475715637,
0.023467279970645905,
0.04301786050200462,
-0.02144310437142849,
-0.008656233549118042,
-0.010104425251483917,
-0.02601807191967964,
0.006660856772214174,
-0.0104335593059659,
-0.03636934608221054,
-0.0600011944770813,
-0.013848328031599522,
0.054570477455854416,
0.015757307410240173,
0.006570344790816307,
0.023993894457817078,
-0.0034517967142164707,
-0.004937015473842621,
-0.02165704034268856,
-0.03240327909588814,
0.004266404081135988,
0.00957780983299017,
-0.010622811503708363,
0.00006534474232466891,
0.04005565121769905,
-0.038113757967948914,
0.020702552050352097,
-0.0904461219906807,
0.05144369974732399,
0.002647474640980363,
-0.0466054268181324,
0.044729359447956085,
0.0077881417237222195,
0.0010516871698200703,
0.020291132852435112,
0.045157235115766525,
0.003955783788114786,
0.03151461482048035,
-0.024833187460899353,
-0.008639777079224586,
-0.08340264856815338,
-0.03042847104370594,
-0.01760868914425373,
0.004315774422138929,
0.05759851261973381,
-0.04318242892622948,
-0.014095178805291653,
-0.028289098292589188,
0.011717183515429497,
-0.016209866851568222,
0.035743992775678635,
0.030576582998037338,
-0.03794919326901436,
-0.0597049742937088,
-0.05766434222459793,
-0.018810028210282326,
-0.06164686754345894,
-0.017493491992354393,
-0.02720295451581478,
0.00011847551650134847,
-0.022150741890072823,
0.013041948899626732,
-0.019961999729275703,
-0.03125130757689476,
-0.007524834480136633,
0.03712635487318039,
0.012778641656041145,
-0.04663833975791931,
-0.01839861087501049,
-0.04653959721326828,
0.014152777381241322,
0.0027750141452997923,
-0.0280257910490036,
0.0041368077509105206,
0.03972651809453964,
0.03325902670621872,
-0.03368690237402916,
-0.048382751643657684,
-0.03353879228234291,
-0.0405164398252964,
-0.0600011944770813,
0.00907588005065918,
-0.021640583872795105,
0.015312976203858852,
0.017674515023827553,
0.01032659038901329,
-0.002112631220370531,
-0.041898805648088455,
0.0127950981259346,
-0.006570344790816307,
-0.08932706713676453,
0.027268782258033752,
-0.014950928278267384,
0.061021510511636734,
-0.0067019984126091,
0.020916488021612167,
-0.07293617725372314,
0.005669339559972286,
-0.03758714348077774,
-0.01657191477715969,
0.0009637465700507164,
0.04245833307504654,
-0.003065063850954175,
-0.009561353363096714,
-0.0032152312342077494,
0.027614373713731766,
-0.0795188620686531,
0.003715104190632701,
-0.02187097817659378,
-0.016604827716946602,
-0.04087848961353302,
0.02168995514512062,
0.010746236890554428,
0.005661110859364271,
-0.020027825608849525,
-0.016135811805725098,
0.08866880089044571,
0.019813887774944305,
0.0007189528550952673,
0.05545914173126221,
-0.019846802577376366,
-0.008281843736767769,
0.05526166036725044,
-0.02555728331208229,
0.020175935700535774,
-0.023417910560965538,
0.011470332741737366,
0.03399958088994026,
0.040253132581710815,
-0.08774722367525101,
-0.005035755690187216,
0.028124531731009483,
-0.037817537784576416,
-0.0029231244698166847,
-0.03933155536651611,
0.013848328031599522,
-0.016983333975076675,
0.002133202040567994,
-0.050423383712768555,
0.009528439491987228,
-0.024964841082692146,
-0.0371592678129673,
0.046835821121931076,
0.021344363689422607,
0.029523352161049843,
0.03003351017832756,
-0.025474999099969864,
0.0033633417915552855,
-0.03521737828850746,
0.039364468306303024,
0.07701744139194489,
-0.014745219610631466,
0.010046826675534248,
0.04486101493239403,
-0.0046037668362259865,
-0.027515633031725883,
-0.016399119049310684,
0.008166646584868431,
0.017592230811715126,
-0.06898656487464905,
-0.02448759600520134,
0.009561353363096714,
0.0021764009725302458,
0.03600730001926422,
-0.007121644914150238,
0.004718963988125324,
0.04041770100593567,
0.024866100400686264,
-0.024635707959532738,
-0.04871188476681709,
0.020751921460032463,
-0.026758624240756035,
0.03475658968091011,
0.013494509272277355,
0.006776053924113512,
-0.04890936613082886,
-0.023566020652651787,
-0.029095478355884552,
0.04621046409010887,
-0.0014193919487297535,
-0.04709912836551666,
0.002194914733991027,
-0.01029367744922638,
0.013782501220703125,
-0.07510846108198166,
0.01778971217572689,
0.029292957857251167,
0.028651146218180656,
0.05720355361700058,
-0.04657251387834549,
0.09294754266738892,
-0.02960563637316227,
0.007018790114670992,
0.00977529026567936,
0.006911821663379669,
-0.02272672764956951,
-0.03024744801223278,
0.000886091438587755,
0.022397592663764954,
0.013412225060164928,
0.017954278737306595,
-0.015765536576509476,
-0.049304328858852386,
-0.02698901854455471,
-0.008442296646535397,
-0.02190389111638069,
-0.025606652721762657,
0.04973220080137253,
-0.006562116555869579,
-0.08847131580114365,
0.01718081347644329,
-0.07471349835395813,
-0.01915561966598034,
-0.023006491363048553,
-0.038113757967948914,
-0.05094999819993973,
-0.0639508068561554,
-0.02588641829788685,
-0.07458184659481049,
0.025837047025561333,
-0.07833398133516312,
-0.04969928786158562,
0.007002333644777536,
-0.011667813174426556,
-0.0017968679312616587,
0.012622302398085594,
0.07899224758148193,
-0.04331408068537712,
0.02183806523680687,
-0.009750605560839176,
-0.018991053104400635,
-0.05805930122733116,
-0.04601298272609711,
0.07886059582233429,
-0.027515633031725883,
-0.029473982751369476,
-0.021311450749635696,
0.026050984859466553,
0.01623455248773098,
-0.03436162695288658,
-0.012021632865071297,
-0.026873821392655373,
0.0024808503221720457,
0.012375451624393463,
0.011322221718728542,
-0.1136171817779541,
-0.0015582455089315772,
-0.011083600111305714,
0.013840099796652794,
0.0456838496029377,
0.003996925428509712,
-0.000041463215893600136,
0.016037071123719215,
0.012885610572993755,
0.05430717021226883,
-0.038673289120197296,
-0.017987193539738655,
-0.023039406165480614,
0.015633882954716682,
0.04578258842229843,
0.008211902342736721,
-0.01551868487149477,
0.03518446162343025,
0.015304747968912125,
0.003916698973625898,
-0.007010561879724264,
0.04946889355778694,
-0.020784834399819374,
-0.0016425861977040768,
0.0032810582779347897,
0.0012435107491910458,
0.00682953791692853,
-0.0034497396554797888,
-0.03864037245512009,
0.011445647105574608,
-0.009010053239762783,
-0.045585110783576965,
-0.002818213077262044,
-0.025540826842188835,
0.041832976043224335,
-0.03995691239833832,
-0.052069056779146194,
-0.021755781024694443,
-0.005833906587213278,
0.006932392716407776,
-0.0020066911820322275,
-0.021953262388706207,
0.02183806523680687,
0.001065572490915656,
0.00062741240253672,
-0.03768588602542877,
0.01668711192905903,
-0.03949612379074097,
0.012433050200343132,
0.018661918118596077,
0.017345380038022995,
-0.0008182074525393546,
-0.02363184653222561,
0.00011628985521383584,
0.020110109820961952,
-0.02759791724383831,
-0.010137338191270828,
-0.00968477874994278,
-0.0018328670412302017,
-0.0018328670412302017,
-0.02823972888290882,
-0.011774782091379166,
-0.005253807175904512,
-0.018892312422394753,
0.03771879896521568,
-0.048876453191041946,
0.05187157541513443,
0.022990034893155098,
0.009849346242845058,
-0.009874030947685242,
-0.026083897799253464,
-0.003754188772290945,
0.03840998187661171,
-0.012803326360881329,
0.011799466796219349,
0.003887899685651064,
0.001540760276839137,
-0.02792705036699772,
-0.004628452006727457,
0.02433948591351509,
0.0015222463989630342,
-0.012326082214713097,
-0.03332485258579254,
-0.0022566274274140596,
0.029441067948937416,
0.01099308766424656,
0.00887839961796999,
-0.005397803615778685,
-0.055360399186611176,
0.0289309099316597,
0.03544777259230614,
-0.004426856990903616,
0.019139163196086884,
-0.005887391045689583,
-0.022134285420179367,
-0.03294634819030762,
-0.005615855101495981,
0.015049668960273266,
0.01955058053135872,
0.017477035522460938,
-0.005438945256173611,
0.002855240600183606,
-0.0015921874437481165,
0.01778971217572689,
-0.0073972949758172035,
0.027301695197820663,
0.009561353363096714,
-0.02878279983997345,
0.020027825608849525,
-0.045618023723363876,
-0.021146882325410843,
-0.008006193675100803,
-0.033341310918331146,
0.03949612379074097,
0.013469823636114597,
0.015823135152459145,
-0.012227341532707214,
0.02369767427444458,
-0.045486368238925934,
-0.01337108388543129,
-0.027828309684991837,
0.06727506220340729,
-0.025228148326277733,
0.03916699066758156,
-0.00020609468629118055,
0.025968700647354126,
-0.0009822603315114975,
-0.020126566290855408,
-0.04871188476681709,
0.02698901854455471,
-0.00916639156639576,
0.03640225902199745,
-0.033670444041490555,
-0.05809221416711807,
0.0405164398252964,
0.029934769496321678,
-0.027120672166347504,
-0.029901856556534767,
0.016432033851742744,
0.033127374947071075,
0.04367613047361374,
-0.0017402980010956526,
-0.06924986839294434,
0.09452738612890244,
-0.01392238400876522,
0.04969928786158562,
0.02062026783823967,
-0.006097214296460152,
-0.010746236890554428,
-0.020521527156233788,
-0.019303729757666588,
-0.0069447350688278675,
-0.02266090176999569,
-0.028470123186707497,
0.039364468306303024,
-0.054142601788043976,
-0.010219622403383255,
-0.022167200222611427,
-0.016135811805725098,
-0.02741689234972,
0.03768588602542877,
-0.0046037668362259865,
0.017855539917945862,
-0.020998772233724594,
-0.011396277695894241,
-0.020669637247920036,
0.01599593088030815,
-0.0004155321221332997,
0.04321534186601639,
-0.046704165637493134,
-0.01003859844058752,
-0.003005408216267824,
-0.0017289839452132583,
-0.0019346929620951414,
0.023352082818746567,
0.010672181844711304,
0.03064240887761116,
-0.02220011316239834,
-0.003659562673419714,
0.01803656294941902,
-0.02065318077802658,
-0.014811046421527863,
0.013486280106008053,
-0.0022237140219658613,
-0.02098231576383114,
0.013914154842495918,
-0.027499176561832428,
0.01315714605152607,
0.010663953609764576,
-0.020126566290855408,
-0.02491547167301178,
0.007220385130494833,
0.03755423054099083,
-0.014588880352675915,
0.02323688566684723,
-0.005661110859364271,
-0.007697629742324352,
-0.001465676468797028,
-0.014309116639196873,
-0.012391909025609493,
-0.013255886733531952,
-0.02198617532849312,
0.0057022529654204845,
-0.03864037245512009,
-0.056216150522232056,
-0.022002631798386574,
-0.012597617693245411,
-0.03646808862686157,
0.007450778968632221,
0.0004973014583811164,
0.012128600850701332,
-0.02373058721423149,
0.002092060400173068,
-0.023747043684124947,
-0.04779031127691269,
-0.03801501914858818,
-0.019813887774944305,
0.02412554807960987,
0.01315714605152607,
0.004056580830365419,
0.012284940108656883,
0.00820778775960207,
-0.0208671186119318,
-0.021640583872795105,
-0.0035340802278369665,
-0.02047215774655342,
0.042359594255685806,
-0.014695849269628525,
0.05058795213699341,
-0.005397803615778685,
0.04578258842229843,
-0.050423383712768555,
0.03482241556048393,
-0.011750096455216408,
0.05559079349040985,
-0.04410400614142418,
0.024405313655734062,
0.016102898865938187,
0.0013875070726498961,
-0.002993065631017089,
-0.0021681725047528744,
0.028651146218180656,
0.026857364922761917,
-0.011799466796219349,
0.014992070384323597,
0.015650339424610138,
-0.045618023723363876,
-0.04749408736824989,
0.01659660041332245,
0.0015901303850114346,
-0.004825932439416647,
0.004324002657085657,
-0.002458222210407257,
0.021607670933008194,
-0.010877890512347221,
-0.0006438691052608192,
0.002303940476849675,
0.05404386296868324,
-0.0008603777969256043,
-0.004731306340545416,
0.037817537784576416,
0.053714729845523834,
-0.061120253056287766,
0.00022075144806876779,
-0.009240447543561459,
0.017526404932141304,
0.00988225918263197,
0.0179707370698452,
0.006850108969956636,
0.0004008753749076277,
0.0245205108076334,
-0.015041440725326538,
-0.0202582199126482,
0.01605352945625782,
-0.016069985926151276,
0.028618233278393745,
-0.035678163170814514,
-0.05884922295808792,
0.00998922809958458,
0.004982271231710911,
-0.0021784580312669277,
-0.05236527696251869,
-0.005739280488342047,
0.03067532181739807,
0.026034528389573097,
0.011881750077009201,
0.025293976068496704,
-0.033061545342206955,
0.03584273159503937,
-0.011297537013888359,
-0.02119625359773636,
0.0006968391826376319,
-0.02004428207874298,
0.031020913273096085,
-0.00932273082435131,
0.07589838653802872,
-0.01551868487149477,
0.01800365000963211,
0.04578258842229843,
0.006952963303774595,
0.0035155664663761854,
-0.014654707163572311,
-0.0003813330258708447,
-0.0295398086309433,
0.021130425855517387,
-0.03587564453482628,
-0.004270518198609352,
-0.01629215106368065,
0.004480341449379921,
-0.020916488021612167,
-0.011898207478225231,
-0.03085634671151638,
0.013938840478658676,
-0.038245413452386856,
-0.03261721506714821,
0.018480895087122917,
0.03360461816191673,
0.028651146218180656,
0.016193410381674767,
0.005438945256173611,
0.03403249382972717,
-0.04723078012466431,
-0.008475209586322308,
0.026001615449786186,
-0.04808653146028519,
0.01690104976296425,
0.0022237140219658613,
0.026577599346637726,
-0.023417910560965538,
-0.03791628032922745,
-0.0073026688769459724,
-0.009586038067936897,
0.02659405581653118,
0.0350198969244957,
0.0383770652115345,
0.015337660908699036,
0.0092157619073987,
-0.02534334547817707,
-0.006039615720510483,
-0.033637531101703644,
-0.061087336391210556,
0.007775799371302128,
-0.0362376943230629,
0.00802676472812891,
-0.013724902644753456,
-0.015008526854217052,
-0.021146882325410843,
-0.016440261155366898,
-0.020850662142038345,
0.007989736273884773,
-0.022134285420179367,
0.0469016470015049,
0.00023579390835948288,
0.030132250860333443,
0.038574546575546265,
-0.02126207947731018,
0.04170132428407669,
-0.06378623843193054,
0.026676340028643608,
0.028009334579110146,
-0.008388811722397804,
0.036138951778411865,
0.00617538345977664,
0.002248399192467332,
-0.0004916444304399192,
-0.01417746301740408,
-0.032024774700403214,
-0.008133732713758945,
-0.007693515624850988,
-0.02122916653752327,
-0.02573830634355545,
0.04403817653656006,
-0.010137338191270828,
0.01501675508916378,
0.04130636155605316,
0.020900031551718712,
0.002912839176133275,
0.007747000083327293,
0.029490439221262932,
-0.005023413337767124,
0.02305586263537407,
-0.007113416213542223,
-0.01815176010131836,
0.017839081585407257,
-0.042227938771247864,
-0.023105232045054436,
0.02567248046398163,
0.013025492429733276,
0.029803115874528885,
0.015469315461814404,
-0.0024129662197083235,
0.006973534356802702,
-0.020784834399819374,
0.019501211121678352,
0.013181831687688828,
-0.03758714348077774,
0.05549205467104912,
-0.01565856672823429,
0.029737289994955063,
-0.009256904013454914,
-0.018958140164613724,
-0.04617755115032196,
-0.026972560212016106,
-0.0025651908945292234,
-0.007199814077466726,
0.009223990142345428,
0.015082581900060177,
0.04048352688550949,
-0.006924164015799761,
-0.018266957253217697,
-0.016004158183932304,
-0.043939437717199326,
-0.028503036126494408,
-0.04456479102373123,
0.027762483805418015,
-0.030741149559617043,
-0.029589179903268814,
0.013683761470019817,
0.010219622403383255,
0.0012908237986266613,
0.012071003206074238,
-0.0045502823777496815,
0.0017464691773056984,
-0.009149935096502304,
-0.04825109615921974,
0.04653959721326828,
0.018875855952501297,
0.05723646655678749,
0.03158044070005417,
-0.006224753800779581,
-0.032304536551237106,
0.04374195635318756,
-0.030477842316031456,
0.017279554158449173,
0.02823972888290882,
-0.006414005998522043,
-0.0642470270395279,
0.04367613047361374,
0.026264922693371773,
-0.012383680790662766,
-0.04031895846128464,
0.03246910497546196,
0.0020889746956527233,
0.016037071123719215,
0.05160826817154884,
-0.0026371891144663095,
0.034526195377111435,
-0.053780555725097656,
0.0027750141452997923,
0.018266957253217697,
-0.007282097823917866,
-0.006706112530082464,
0.03383501246571541,
-0.022035544738173485,
0.0283220112323761,
0.029276501387357712,
0.013255886733531952,
0.039430297911167145,
-0.016185183078050613,
-0.017526404932141304,
-0.028486579656600952,
-0.03975943103432655,
-0.013971753418445587,
0.013576792553067207,
-0.030510755255818367,
-0.014350257813930511,
-0.000004568185886455467,
0.03469076007604599,
-0.013552107848227024,
0.0008398069185204804,
0.022068459540605545,
-0.03070823661983013,
0.02126207947731018,
-0.046375032514333725,
-0.029556265100836754,
-0.021969718858599663,
-0.00724095618352294,
-0.004418628755956888,
-0.015099039301276207,
-0.03192603215575218,
0.017411207780241966,
-0.015247149392962456,
0.016818765550851822,
0.03399958088994026,
0.031909577548503876,
-0.003918755799531937,
-0.011618442833423615,
-0.018053019419312477,
0.04614463821053505,
0.006376978475600481,
-0.042260851711034775,
0.03322611376643181,
0.059836626052856445,
0.03995691239833832,
0.023006491363048553,
0.021146882325410843,
0.02229885384440422,
-0.011231710202991962,
0.006994105409830809,
-0.030296817421913147,
-0.003636934794485569,
-0.031053828075528145,
0.01376604475080967,
0.0019943485967814922,
0.06138356029987335,
0.016744710505008698,
0.017493491992354393,
-0.00916639156639576,
-0.030625952407717705,
0.037323836237192154,
0.016588371247053146,
-0.020735464990139008,
0.008150190114974976,
-0.012186199426651001,
0.03151461482048035,
0.034921154379844666,
-0.03344004973769188,
-0.046737078577280045,
0.0011355135357007384,
-0.005364890210330486,
0.006154812406748533,
0.02244696393609047,
0.017592230811715126,
0.013848328031599522,
-0.01854672096669674,
0.006763711106032133,
0.03182729333639145,
0.00617538345977664,
-0.028305554762482643,
0.012021632865071297,
0.0539122074842453,
-0.04953472316265106,
0.048382751643657684,
0.008713832125067711,
-0.04937015473842621,
-0.015206007286906242,
-0.023648304864764214,
-0.004422742873430252,
-0.03919990360736847,
-0.051279135048389435,
0.017131444066762924,
-0.005722823552787304,
-0.020389873534440994,
-0.007825169712305069,
-0.05338559299707413,
0.011626671068370342,
-0.05552496761083603
] |
Accurately predicting the prices of financial time series is essential and
challenging for the financial sector. Owing to recent advancements in deep
learning techniques, deep learning models are gradually replacing traditional
statistical and machine learning models as the first choice for price
forecasting tasks. This shift in model selection has led to a notable rise in
research related to applying deep learning models to price forecasting,
resulting in a rapid accumulation of new knowledge. Therefore, we conducted a
literature review of relevant studies over the past three years with a view to
aiding researchers and practitioners in the field. This review delves deeply
into deep learning-based forecasting models, presenting information on model
architectures, practical applications, and their respective advantages and
disadvantages. In particular, detailed information is provided on advanced
models for price forecasting, such as Transformers, generative adversarial
networks (GANs), graph neural networks (GNNs), and deep quantum neural networks
(DQNNs). The present contribution also includes potential directions for future
research, such as examining the effectiveness of deep learning models with
complex structures for price forecasting, extending from point prediction to
interval prediction using deep learning models, scrutinising the reliability
and validity of decomposition ensembles, and exploring the influence of data
volume on model performance. | [
-0.019025059416890144,
-0.007001190911978483,
-0.024400344118475914,
0.0023820502683520317,
0.03707849234342575,
-0.025183914229273796,
-0.012842698954045773,
0.0197146013379097,
-0.05096333846449852,
0.03902174532413483,
0.045415669679641724,
-0.03892771899700165,
0.01705046556890011,
-0.0446634441614151,
-0.05582147091627121,
0.012176665477454662,
0.0382695198059082,
-0.019871314987540245,
0.010053192265331745,
-0.05306330695748329,
-0.009112909436225891,
0.007698567118495703,
-0.019542215391993523,
-0.031891267746686935,
-0.02004369907081127,
0.038582947105169296,
0.01924445852637291,
-0.005669123027473688,
-0.053314048796892166,
0.06770037859678268,
0.04967828840017319,
-0.012780013494193554,
-0.015922125428915024,
-0.026280909776687622,
-0.05419164523482323,
0.015122885815799236,
0.017269864678382874,
0.034602414816617966,
0.007373386062681675,
0.0009515468263998628,
0.04999171569943428,
0.01451953686773777,
-0.024917500093579292,
-0.05052454024553299,
-0.0034124439116567373,
-0.02858460322022438,
0.002297816565260291,
-0.005336106289178133,
0.015162063762545586,
0.014260958880186081,
-0.008901345543563366,
-0.028239833191037178,
-0.005304763559252024,
0.014323645271360874,
-0.04105902463197708,
0.035072557628154755,
0.05312599241733551,
-0.019072074443101883,
0.007345960941165686,
0.011996444314718246,
0.048549946397542953,
-0.0024623661302030087,
-0.02454138733446598,
-0.020216085016727448,
0.005477148573845625,
-0.036953121423721313,
-0.012325542978942394,
-0.003702364396303892,
0.006358664017170668,
-0.03206365182995796,
-0.10487289726734161,
0.02408691681921482,
0.03497852757573128,
-0.01659599505364895,
0.008125612512230873,
-0.04243810847401619,
-0.06256016343832016,
0.05732592195272446,
-0.011722194962203503,
0.035103898495435715,
0.01540497038513422,
0.10794448852539062,
-0.025685397908091545,
-0.037266552448272705,
0.04829920455813408,
0.025669727474451065,
0.011910251341760159,
-0.050211112946271896,
-0.004513358697295189,
-0.030167413875460625,
-0.0027816705405712128,
0.03201663866639137,
0.005935536697506905,
-0.03385018929839134,
-0.04030679911375046,
0.023789159953594208,
-0.04644998162984848,
-0.013352018781006336,
-0.021689195185899734,
0.005371366627514362,
0.03833220526576042,
0.012059129774570465,
-0.00626855343580246,
0.010617362335324287,
-0.0375799797475338,
-0.060052741318941116,
-0.07704052329063416,
0.03265916556119919,
-0.021109353750944138,
0.06531833112239838,
-0.014370659366250038,
-0.0089718671515584,
-0.033818844705820084,
-0.00808643363416195,
-0.016313910484313965,
0.04259482026100159,
-0.01095429714769125,
-0.027142837643623352,
-0.009269623085856438,
-0.07108539342880249,
0.00896403193473816,
0.04638729616999626,
-0.005778822582215071,
-0.014402002096176147,
-0.02776969224214554,
0.0650675892829895,
-0.03714117780327797,
0.008125612512230873,
-0.010609527118504047,
0.027863720431923866,
-0.05720055103302002,
0.02281753532588482,
-0.02689209394156933,
0.008439039811491966,
-0.009818121790885925,
0.04146648198366165,
0.01455087959766388,
-0.0050461855717003345,
0.012693820521235466,
-0.0392724871635437,
-0.004148998763412237,
-0.0554453544318676,
0.011502795852720737,
0.011965101584792137,
0.028788331896066666,
0.021642180159687996,
-0.010672212578356266,
0.08011211454868317,
-0.005908111575990915,
0.006397842429578304,
-0.03582478314638138,
0.03491584211587906,
0.03830086067318916,
0.008345011621713638,
-0.011659509502351284,
0.004101984668523073,
0.004011874087154865,
-0.013210976496338844,
-0.0392724871635437,
-0.05039916932582855,
-0.0011018941877409816,
-0.007122643757611513,
0.02723686583340168,
0.03121739625930786,
0.003302744124084711,
0.037736691534519196,
0.07221373915672302,
-0.03356810286641121,
-0.13828429579734802,
0.04438135772943497,
0.04334704577922821,
0.00011116887617390603,
-0.016846736893057823,
0.017128823325037956,
-0.036827750504016876,
0.049835000187158585,
-0.008290162310004234,
-0.025324955582618713,
-0.03895905986428261,
0.030183084309101105,
-0.04673206806182861,
-0.0086819464340806,
0.017332550138235092,
0.010303935036063194,
0.018037762492895126,
0.04641863703727722,
0.051151398569345474,
0.052028995007276535,
0.01963624358177185,
0.04958425834774971,
-0.0019501078641042113,
0.01742657832801342,
0.0401187427341938,
-0.04554104059934616,
0.015694890171289444,
-0.04930217191576958,
0.03576209768652916,
0.018053434789180756,
0.002229254459962249,
0.012685985304415226,
-0.018993716686964035,
-0.05052454024553299,
0.03185992315411568,
0.017316879704594612,
0.003988367039710283,
-0.030089056119322777,
0.035542696714401245,
0.009144252166152,
0.05842291936278343,
-0.03920980170369148,
-0.019369831308722496,
0.008039419539272785,
-0.08675678074359894,
0.027503278106451035,
-0.022974248975515366,
0.015232585370540619,
0.03613821044564247,
0.033787503838539124,
-0.03748594969511032,
-0.07835692167282104,
-0.03801877796649933,
0.021704867482185364,
0.053314048796892166,
-0.013939696364104748,
-0.03629492595791817,
-0.016862409189343452,
-0.013837832026183605,
0.02678239531815052,
-0.03494718670845032,
0.015334448777139187,
0.03977397084236145,
0.005238160025328398,
0.003326251171529293,
-0.002799300942569971,
0.022974248975515366,
-0.029806971549987793,
-0.03167186677455902,
-0.01051549892872572,
-0.024901829659938812,
0.0009814203949645162,
0.0236794613301754,
-0.028412219136953354,
-0.00603348296135664,
0.0005078507820144296,
-0.023068277165293694,
-0.004047134891152382,
0.02463541552424431,
0.04522761330008507,
0.027550293132662773,
0.0001846284867497161,
-0.016392268240451813,
-0.056448325514793396,
-0.033223334699869156,
0.04428733140230179,
-0.06262285262346268,
0.0060021402314305305,
0.02371080406010151,
0.0321890227496624,
-0.02457273006439209,
-0.03035547025501728,
0.06462878733873367,
0.005304763559252024,
-0.02686075121164322,
0.10669077932834625,
-0.03980531543493271,
0.05143348127603531,
0.06221539527177811,
-0.008117776364088058,
0.0024643251672387123,
-0.018210148438811302,
-0.008439039811491966,
0.0038473247550427914,
-0.019871314987540245,
0.057012494653463364,
-0.04475747048854828,
-0.0667600929737091,
0.05955125764012337,
-0.023366034030914307,
0.03497852757573128,
0.036953121423721313,
0.05049319937825203,
-0.02272350713610649,
0.03447704389691353,
-0.031154710799455643,
-0.04322167485952377,
-0.018507903441786766,
-0.01703479513525963,
-0.03610686957836151,
-0.03654566779732704,
-0.02502720057964325,
0.00871328916400671,
-0.008164791390299797,
-0.03494718670845032,
-0.01654898189008236,
0.04005605727434158,
0.013782981783151627,
-0.015522506088018417,
-0.02413393184542656,
0.020717568695545197,
0.00795714557170868,
-0.04692012444138527,
0.0064997063018381596,
0.025371970608830452,
0.04516492784023285,
-0.04478881508111954,
-0.0173638928681612,
0.03526061400771141,
0.04068291187286377,
-0.0070795477367937565,
-0.01835118979215622,
-0.01737956516444683,
-0.04284556210041046,
-0.018852675333619118,
-0.011048325337469578,
-0.04109036922454834,
0.036890435963869095,
0.041748564690351486,
-0.0006484034820459783,
-0.016878079622983932,
-0.03707849234342575,
0.058767687529325485,
0.016846736893057823,
-0.0883239209651947,
0.013767310418188572,
0.01270949188619852,
0.01741090789437294,
0.032878562808036804,
0.021156368777155876,
-0.05008574202656746,
0.004474180284887552,
-0.01520907785743475,
0.008533068932592869,
-0.04817383363842964,
0.005077528301626444,
0.0374232642352581,
0.06202733889222145,
-0.03132709488272667,
-0.012192336842417717,
-0.02193993702530861,
-0.051621537655591965,
-0.02684508077800274,
-0.00985730066895485,
-0.0792345181107521,
-0.02903907373547554,
0.012435243465006351,
-0.05989602953195572,
-0.06732426583766937,
-0.014449016191065311,
0.0007483085501007736,
0.043566446751356125,
0.0006772975903004408,
-0.023538418114185333,
-0.04372316226363182,
-0.01560086291283369,
0.04739026352763176,
-0.06475415825843811,
-0.016768380999565125,
-0.03441435843706131,
0.013148291036486626,
-0.009418501518666744,
-0.01292889192700386,
-0.04250079393386841,
-0.02543465606868267,
0.03145246580243111,
-0.09365218877792358,
-0.018131790682673454,
-0.04438135772943497,
-0.04422464594244957,
-0.002707231556996703,
0.00009966020297724754,
0.049364857375621796,
0.04961560294032097,
0.004948239307850599,
-0.05622892454266548,
0.024008560925722122,
0.005332188215106726,
-0.036796409636735916,
0.008540904149413109,
-0.008822988718748093,
0.04250079393386841,
-0.06271687895059586,
0.021234724670648575,
0.06397058814764023,
0.02272350713610649,
0.004005997441709042,
0.0037082412745803595,
-0.031092025339603424,
-0.020717568695545197,
-0.0321890227496624,
0.07704052329063416,
0.0001589176245033741,
-0.036577008664608,
0.0011812305310741067,
-0.04080828279256821,
0.04453807324171066,
-0.00784352794289589,
0.04052620008587837,
0.05281256511807442,
0.01789672113955021,
0.012403900735080242,
-0.07566144317388535,
0.02541898377239704,
-0.027848048135638237,
0.02328767627477646,
-0.04638729616999626,
0.014268795028328896,
0.006574145518243313,
-0.015279599465429783,
0.010570348240435123,
0.02493317238986492,
-0.019448187202215195,
-0.003964859992265701,
-0.028913702815771103,
-0.07710320502519608,
0.017301207408308983,
0.008345011621713638,
-0.035950154066085815,
-0.04052620008587837,
-0.028882360085844994,
-0.01158115267753601,
-0.004415412433445454,
0.047202207148075104,
0.04701415076851845,
0.01138526014983654,
0.001964799826964736,
0.01705046556890011,
0.040933653712272644,
-0.02903907373547554,
-0.030057713389396667,
0.0056064375676214695,
0.04413061589002609,
-0.03156216815114021,
0.06334373354911804,
-0.022927233949303627,
-0.027926405891776085,
-0.03453972935676575,
0.003077467903494835,
0.00023690724628977478,
-0.04638729616999626,
0.0030833447817713022,
-0.02057652734220028,
-0.025309285148978233,
-0.021673522889614105,
0.06864066421985626,
-0.018648946657776833,
-0.00784352794289589,
-0.01645495370030403,
-0.048424575477838516,
-0.0018139627063646913,
-0.021156368777155876,
-0.014558715745806694,
-0.013312840834259987,
-0.06838992238044739,
0.0020862529054284096,
0.06350044906139374,
0.0010646746959537268,
0.005908111575990915,
0.003243976505473256,
0.06920482963323593,
0.0127643421292305,
0.009559543803334236,
0.09427904337644577,
0.0026034086477011442,
-0.022033965215086937,
-0.019479529932141304,
0.005739644169807434,
-0.028302518650889397,
-0.06494221091270447,
-0.017614634707570076,
0.025607042014598846,
-0.013978874310851097,
0.00030999956652522087,
-0.008517397567629814,
0.02455705776810646,
0.02769133448600769,
0.002820849185809493,
0.015248256735503674,
-0.08694484084844589,
-0.009731929749250412,
-0.012090472504496574,
0.08882540464401245,
0.017175836488604546,
0.05848560482263565,
0.006515377666801214,
-0.010194235481321812,
0.024353330954909325,
0.028365204110741615,
0.0025113392621278763,
-0.02767566405236721,
0.002846315037459135,
-0.0384262315928936,
0.007761253044009209,
-0.01698778010904789,
-0.016360925510525703,
0.012591957114636898,
-0.00680921645835042,
-0.009786779060959816,
0.003144071437418461,
0.05889306217432022,
0.019839972257614136,
-0.006758284289389849,
0.009011046029627323,
0.011009147390723228,
0.025121228769421577,
-0.022033965215086937,
0.02009071409702301,
-0.011440110392868519,
-0.03469644486904144,
-0.03185992315411568,
0.004572126083076,
0.039523229002952576,
-0.014895650558173656,
-0.019886985421180725,
-0.026468968018889427,
-0.012051294557750225,
-0.005868933163583279,
-0.028913702815771103,
0.014221780933439732,
-0.007490921299904585,
0.03450838848948479,
0.025998825207352638,
-0.007005108520388603,
0.0374232642352581,
0.04789174720644951,
-0.04952157288789749,
0.0456664115190506,
0.031515151262283325,
-0.011063996702432632,
0.04613655433058739,
0.015710562467575073,
-0.04435001686215401,
-0.0006449754000641406,
-0.050743941217660904,
-0.03181290999054909,
0.016188539564609528,
-0.030292784795165062,
-0.029242802411317825,
-0.01520124264061451,
0.009684915654361248,
0.008258819580078125,
-0.026610009372234344,
-0.0037395840045064688,
-0.030042042955756187,
0.013015083968639374,
0.004145081155002117,
0.006777873728424311,
0.039115775376558304,
-0.03883368894457817,
0.009739764966070652,
-0.007447825279086828,
-0.02325633354485035,
-0.0033517172560095787,
0.013179633766412735,
-0.014864307828247547,
-0.05685577914118767,
-0.02499585784971714,
-0.024243630468845367,
-0.03986800089478493,
0.005300845485180616,
-0.00274640996940434,
0.0016954478342086077,
0.018617603927850723,
-0.02239440754055977,
-0.0237578172236681,
-0.007298946846276522,
-0.019072074443101883,
0.04303361847996712,
0.023319019004702568,
0.0005382141098380089,
0.0017884966218844056,
-0.00032493635080754757,
0.017724335193634033,
-0.04463209956884384,
0.024400344118475914,
0.017740005627274513,
0.015765411779284477,
0.055194612592458725,
0.016266897320747375,
0.01389268133789301,
0.04105902463197708,
0.006742612924426794,
0.030621884390711784,
-0.013782981783151627,
0.02493317238986492,
0.02866296097636223,
-0.04018142819404602,
-0.025387641042470932,
-0.022582463920116425,
0.03275319188833237,
0.004148998763412237,
-0.03692178055644035,
0.015028856694698334,
-0.010711390525102615,
-0.028506247326731682,
-0.02498018555343151,
0.028020434081554413,
0.02817714773118496,
0.014041559770703316,
0.05447373166680336,
-0.045384328812360764,
-0.014213944785296917,
0.011737866327166557,
-0.012881877832114697,
0.056479666382074356,
-0.004438919480890036,
0.0124744214117527,
0.014590058475732803,
0.028898032382130623,
0.0263749398291111,
-0.009943492710590363,
-0.02364811860024929,
0.011330410838127136,
0.015052364207804203,
-0.03569941222667694,
0.038144148886203766,
-0.003667103825137019,
-0.022190678864717484,
0.04463209956884384,
-0.04209333658218384,
-0.017630307003855705,
-0.021689195185899734,
0.009300966747105122,
0.05322001874446869,
0.01614152453839779,
0.0032420174684375525,
0.07133614271879196,
0.017081808298826218,
-0.001861956319771707,
-0.030527856200933456,
-0.03171887993812561,
-0.020200414583086967,
-0.00867411121726036,
-0.02226903662085533,
-0.02776969224214554,
-0.006550638470798731,
-0.010852433741092682,
-0.0008095249067991972,
0.023554090410470963,
0.027942078188061714,
-0.008070762269198895,
0.009481186978518963,
0.01408857386559248,
-0.017802691087126732,
0.09446710348129272,
0.0036984465550631285,
0.023068277165293694,
-0.031107697635889053,
0.029242802411317825,
0.03526061400771141,
0.04149782285094261,
0.012819192372262478,
0.023460062220692635,
0.0033086210023611784,
0.04425598680973053,
-0.034602414816617966,
-0.030653227120637894,
0.07409430295228958,
-0.002491750055924058,
0.03830086067318916,
0.026155538856983185,
-0.006209786050021648,
0.05939454585313797,
-0.008509561419487,
0.03316064924001694,
0.014644907787442207,
-0.03516658395528793,
0.015514669939875603,
0.009543872438371181,
-0.003187167691066861,
0.017504936084151268,
0.007498756982386112,
-0.06328104436397552,
-0.034132275730371475,
0.0045525371097028255,
0.01883700303733349,
-0.007608457002788782,
0.0552886426448822,
0.06732426583766937,
0.024478701874613762,
-0.023883188143372536,
-0.02863161824643612,
-0.015326613560318947,
0.0011165861506015062,
-0.002479996532201767,
-0.021266067400574684,
-0.00680921645835042,
0.001061736256815493,
-0.04930217191576958,
-0.007091301027685404,
0.03406959027051926,
0.022175008431077003,
-0.04673206806182861,
0.03886503353714943,
-0.004403658676892519,
0.04557238519191742,
0.02007504180073738,
-0.032377079129219055,
0.028804004192352295,
-0.006938504986464977,
-0.003140153596177697,
0.019040731713175774,
-0.05002305656671524,
-0.02278619259595871,
0.007835691794753075,
0.013383361510932446,
-0.012129651382565498,
0.024431686848402023,
-0.00340460822917521,
-0.06475415825843811,
-0.03222036361694336,
0.018554918467998505,
0.01006102841347456,
0.012388229370117188,
0.04773503541946411,
0.052499134093523026,
0.0042038485407829285,
0.011596824042499065,
0.034633759409189224,
-0.012435243465006351,
0.007769088726490736,
0.007761253044009209,
0.0127643421292305,
-0.009300966747105122,
-0.002205747179687023,
0.009050223976373672,
0.006429185159504414,
-0.006625077687203884,
-0.012858370319008827,
-0.04786040633916855,
-0.0015690972795709968,
0.016846736893057823,
-0.007345960941165686,
-0.021689195185899734,
0.0075849499553442,
-0.021234724670648575,
-0.03767400607466698,
0.024917500093579292,
0.033693473786115646,
-0.020419813692569733,
-0.021156368777155876,
-0.00963006541132927,
-0.028913702815771103,
-0.008619260974228382,
-0.028286848217248917,
-0.0074556609615683556,
0.011165861040353775,
-0.022582463920116425,
0.009755436331033707,
0.012913220562040806,
0.007134397514164448,
-0.008666275069117546,
-0.010162892751395702,
0.03269050642848015,
-0.02139143832027912,
-0.05820351839065552,
0.025669727474451065,
0.0022703916765749454,
0.01520124264061451,
-0.0038140229880809784,
-0.019996685907244682,
0.04516492784023285,
0.02541898377239704,
0.002105842111632228,
-0.031170383095741272,
0.03535464033484459,
-0.011424439027905464,
-0.023601103574037552,
0.0013918147888034582,
-0.004094148986041546,
0.019839972257614136,
0.0517469085752964,
0.02769133448600769,
0.0483618900179863,
-0.008196134120225906,
-0.015788918361067772,
0.04080828279256821,
-0.004932567942887545,
-0.03808146342635155,
0.015185571275651455,
0.02230037935078144,
-0.052028995007276535,
0.007996323518455029,
0.04475747048854828,
0.025199584662914276,
-0.07534801214933395,
0.014260958880186081,
-0.00445459084585309,
-0.06356313079595566,
0.015326613560318947,
0.023804832249879837,
0.00047381449257954955,
-0.01273299939930439,
-0.010241249576210976,
-0.017301207408308983,
0.0347277857363224,
-0.0056730411015450954,
-0.0517469085752964,
0.0046661547385156155,
0.006965930107980967,
0.007467414252460003,
0.02099965512752533,
-0.028945045545697212,
-0.009410666301846504,
0.03479047119617462,
0.0003641148214228451,
-0.005841508507728577,
-0.03167186677455902,
-0.005508491303771734,
0.06064825505018234,
0.010155056603252888,
0.0025818604044616222,
0.01653330959379673,
-0.004924732260406017,
-0.01607883907854557,
-0.001827675150707364,
-0.046638038009405136,
-0.04679475352168083,
0.03924114629626274,
-0.02361677587032318,
-0.03848891705274582,
-0.017661649733781815,
-0.007733827922493219,
-0.026500310748815536,
-0.03145246580243111,
-0.09158356487751007,
0.0004003548820037395,
0.01068788394331932,
-0.005641698371618986,
0.021548151969909668,
0.012795684859156609,
0.0009779923129826784,
0.04055754095315933,
-0.056918464601039886,
0.005962961353361607,
0.003336045891046524,
0.014707593247294426,
0.0161728672683239,
0.0178653784096241,
0.003990326076745987,
0.012231514789164066,
-0.040494855493307114,
0.033787503838539124,
0.00022307234758045524,
-0.004435001406818628,
0.00448201596736908,
-0.008995374664664268,
0.030183084309101105,
0.017567621544003487,
-0.0246040727943182,
0.02632792480289936,
-0.010868105106055737,
-0.006225457414984703,
0.0456664115190506,
0.024337658658623695,
-0.031922608613967896,
-0.0012625259114429355,
-0.010021849535405636,
0.039993371814489365,
0.015922125428915024,
-0.027033137157559395,
0.03347407653927803,
-0.005300845485180616,
0.014354988001286983,
-0.01098563987761736,
0.033286020159721375,
-0.02765999175608158,
0.022018294781446457,
-0.010272592306137085,
-0.013297169469296932,
-0.0632183626294136,
-0.008791645988821983,
0.018852675333619118,
-0.017755677923560143,
0.023930203169584274,
0.0002595573023427278,
-0.009003209881484509,
-0.004650483373552561,
0.004070641938596964,
-0.004407576750963926,
-0.07979868352413177,
0.017677320167422295,
-0.01918177306652069,
0.02584211155772209,
0.027863720431923866,
0.008580083027482033,
-0.0041529168374836445,
-0.02808311954140663,
0.011690852232277393,
-0.01705046556890011,
-0.002342871855944395,
0.0020980064291507006,
0.0200593713670969,
-0.005285174120217562,
-0.029227130115032196,
0.021328752860426903,
0.00557901244610548,
-0.0033536760602146387,
-0.010821090079843998,
0.04494553059339523,
0.01653330959379673,
0.0020901707466691732,
-0.03754863515496254,
0.007283275481313467,
-0.06343775987625122,
0.049835000187158585,
-0.02411825954914093,
0.0024271055590361357,
-0.038144148886203766,
0.007694649510085583,
0.003486882895231247,
-0.02634359709918499,
-0.04328436031937599,
0.004478097893297672,
-0.05397224426269531,
0.034038245677948,
0.008721125312149525,
-0.011212875135242939,
-0.010178564116358757,
0.01783403567969799,
0.014237452298402786,
0.049835000187158585,
-0.008321505039930344,
-0.034633759409189224,
-0.003510389942675829,
-0.018037762492895126,
-0.01869596168398857,
-0.04193662479519844,
0.04375450313091278,
-0.0008237271104007959,
0.014174766838550568,
-0.0076202102936804295,
0.025638384744524956,
0.045823127031326294,
0.031029339879751205,
0.06531833112239838,
-0.008164791390299797,
-0.030684569850564003,
0.03519792854785919,
-0.004822868388146162,
0.0011254012351855636,
-0.026735380291938782,
0.0027738348580896854,
0.01343037560582161,
0.001840408192947507,
0.008156955242156982,
-0.06318701803684235,
0.04463209956884384,
-0.00014887814177200198,
-0.007005108520388603,
-0.023068277165293694,
0.005390956066548824,
0.04497687146067619,
0.011902416124939919,
-0.011620331555604935,
0.002811054466292262,
-0.02596748247742653,
-0.021156368777155876,
-0.03428898751735687,
-0.01650196686387062,
-0.007177494000643492,
-0.02007504180073738,
0.006009975913912058,
0.008587918244302273,
-0.015859439969062805,
0.015718398615717888,
-0.005982550792396069,
-0.02585778385400772,
-0.005645615980029106,
-0.03450838848948479,
-0.02411825954914093,
0.007020779885351658,
-0.02060787007212639,
-0.05857963114976883,
0.002574024721980095,
0.005966879427433014,
0.0010264756856486201,
0.015138557180762291,
-0.012192336842417717,
0.010366620495915413,
0.014503865502774715,
0.007761253044009209,
0.04378584772348404,
-0.012881877832114697,
0.02374214679002762,
0.0032968674786388874,
-0.07296596467494965,
0.01965191587805748,
-0.0436604768037796,
-0.01002968568354845,
0.02361677587032318,
0.0064722816459834576,
-0.011683017015457153,
0.0272995512932539,
-0.01824149116873741,
-0.0007874870207160711,
0.036388952285051346,
-0.029634587466716766,
-0.02496451511979103,
0.02950921654701233,
0.034038245677948,
0.010860268957912922,
0.027330894023180008,
0.029399516060948372,
-0.015945633873343468,
0.03256513550877571,
0.012795684859156609,
0.03171887993812561,
-0.0007252912037074566,
0.005336106289178133,
0.04419330134987831,
-0.006417431868612766,
0.027033137157559395,
-0.03623224049806595,
0.0013350059743970633,
-0.0007576134521514177,
0.02228470705449581,
-0.005551587790250778,
0.002867863280698657,
-0.017536278814077377,
-0.07171225547790527,
0.048988744616508484,
-0.02197127975523472,
0.01582026109099388,
0.0020392388105392456
] |
The first ACM/IEEE TinyML Design Contest (TDC) held at the 41st International
Conference on Computer-Aided Design (ICCAD) in 2022 is a challenging,
multi-month, research and development competition. TDC'22 focuses on real-world
medical problems that require the innovation and implementation of artificial
intelligence/machine learning (AI/ML) algorithms on implantable devices. The
challenge problem of TDC'22 is to develop a novel AI/ML-based real-time
detection algorithm for life-threatening ventricular arrhythmia over low-power
microcontrollers utilized in Implantable Cardioverter-Defibrillators (ICDs).
The dataset contains more than 38,000 5-second intracardiac electrograms
(IEGMs) segments over 8 different types of rhythm from 90 subjects. The
dedicated hardware platform is NUCLEO-L432KC manufactured by
STMicroelectronics. TDC'22, which is open to multi-person teams world-wide,
attracted more than 150 teams from over 50 organizations. This paper first
presents the medical problem, dataset, and evaluation procedure in detail. It
further demonstrates and discusses the designs developed by the leading teams
as well as representative results. This paper concludes with the direction of
improvement for the future TinyML design for health monitoring applications. | [
0.008220710791647434,
0.059516627341508865,
-0.02522210031747818,
-0.03691084682941437,
0.010389999486505985,
0.022681066766381264,
-0.0027033761143684387,
0.04818550497293472,
0.014945034869015217,
0.031113529577851295,
0.009778269566595554,
-0.06704561412334442,
0.07837673276662827,
-0.013749809004366398,
0.009166538715362549,
0.017853105440735817,
-0.022361084818840027,
-0.0113028883934021,
-0.032901663333177567,
-0.03284519538283348,
0.033202823251485825,
0.005914958659559488,
-0.006267880089581013,
0.03205465152859688,
0.03510389104485512,
-0.004239759873598814,
0.009778269566595554,
0.012300479225814342,
-0.011622870340943336,
0.0022586954291909933,
0.01929302327334881,
0.01851189136505127,
-0.009001842699944973,
-0.024920940399169922,
-0.060344815254211426,
0.018050741404294968,
0.008921846747398376,
0.13755455613136292,
-0.020478839054703712,
-0.037494346499443054,
-0.014013323001563549,
-0.027254926040768623,
-0.011613459326326847,
0.001617555390112102,
-0.010437055490911007,
0.026106756180524826,
-0.03826606646180153,
-0.0426516979932785,
-0.011782861314713955,
0.08869144320487976,
0.01864364929497242,
0.014399183914065361,
-0.011425234377384186,
-0.008677154779434204,
-0.022417552769184113,
0.002602205378934741,
0.041371773928403854,
0.049691300839185715,
0.08221651613712311,
0.01441800594329834,
0.0421246699988842,
0.010728803463280201,
-0.024356266483664513,
0.015359128825366497,
0.014126257970929146,
-0.05070771276950836,
-0.0050867702811956406,
0.05748379975557327,
0.019387137144804,
0.04438336566090584,
0.016940215602517128,
-0.05074535682797432,
-0.03329693526029587,
0.03828488662838936,
0.002955126576125622,
-0.0175143014639616,
0.002861014334484935,
0.04366811364889145,
0.03273226320743561,
0.028384273871779442,
-0.0011034668423235416,
0.032374635338783264,
-0.015697933733463287,
0.03228052332997322,
0.07988253235816956,
0.05228880047798157,
-0.008164242841303349,
-0.091477170586586,
-0.03297695517539978,
-0.01440859492868185,
-0.0415976420044899,
0.03344751521945,
-0.01903892122209072,
0.03557445481419563,
0.009844147600233555,
-0.020836465060710907,
0.04009184613823891,
0.00610318360850215,
-0.06855140626430511,
-0.041221193969249725,
0.007759559899568558,
0.00102111860178411,
-0.014568585902452469,
0.0008340703789144754,
0.02108115702867508,
-0.03738141059875488,
0.02787606604397297,
0.053305212408304214,
0.0003367456083651632,
0.10962202399969101,
-0.0426516979932785,
0.0156414657831192,
-0.02094940096139908,
-0.006474927067756653,
-0.10058724135160446,
-0.01483209989964962,
0.013938033021986485,
-0.016714345663785934,
-0.05962955951690674,
-0.02550443634390831,
-0.03019122965633869,
0.02036590501666069,
-0.001111113466322422,
0.031809959560632706,
-0.0415976420044899,
0.06569039076566696,
0.020290615037083626,
0.016187317669391632,
-0.02104351297020912,
0.06196354702115059,
-0.02731139212846756,
-0.019462425261735916,
0.01378745399415493,
0.003813901450484991,
0.02953244373202324,
0.05782260373234749,
0.006046716123819351,
-0.010352354496717453,
0.008088952861726284,
0.0122722452506423,
-0.024224508553743362,
0.05473572015762329,
-0.040807098150253296,
0.002792782848700881,
-0.01774958148598671,
-0.017740171402692795,
-0.019349491223692894,
0.077548548579216,
0.019311847165226936,
0.03781432658433914,
-0.023452788591384888,
0.02898659184575081,
-0.017504889518022537,
-0.028459563851356506,
0.04811021313071251,
0.04299050569534302,
-0.0040162429213523865,
-0.053681664168834686,
0.007905433885753155,
-0.03382396325469017,
0.045249197632074356,
0.011011140421032906,
0.02772548794746399,
0.0083948178216815,
-0.006837259512394667,
0.019067155197262764,
0.00020116506493650377,
-0.02119409292936325,
-0.06851376593112946,
0.024469200521707535,
0.05846256762742996,
-0.021871700882911682,
0.01968829520046711,
-0.03549916297197342,
-0.032374635338783264,
0.04035535827279091,
0.028741899877786636,
0.01740136556327343,
-0.019575361162424088,
-0.023452788591384888,
-0.040393002331256866,
0.05070771276950836,
0.03254403918981552,
0.011265243403613567,
-0.0010299416026100516,
0.039000142365694046,
0.05834963172674179,
-0.0010475877206772566,
0.04427042976021767,
0.00898301973938942,
0.030586501583456993,
-0.026407914236187935,
0.0488254688680172,
-0.039865974336862564,
-0.058274343609809875,
-0.035687386989593506,
0.012554582208395004,
0.022982226684689522,
0.021965812891721725,
0.006658446043729782,
-0.07265470176935196,
0.010135895572602749,
0.0017998979892581701,
0.008121892809867859,
0.03480273112654686,
0.003458627499639988,
-0.01879422925412655,
-0.013749809004366398,
-0.010860560461878777,
-0.014126257970929146,
-0.04020477831363678,
0.023339852690696716,
-0.039037786424160004,
-0.04246347397565842,
0.007086656987667084,
-0.009293590672314167,
0.01766488142311573,
-0.029570087790489197,
0.05582742393016815,
0.02605028823018074,
0.05179941654205322,
-0.004870312288403511,
0.03258168324828148,
-0.03619559481739998,
-0.052175864577293396,
0.012366358190774918,
-0.018126031383872032,
0.00031762904836796224,
0.0003590972919482738,
0.00506324227899313,
-0.03911307826638222,
-0.017956629395484924,
-0.009966493584215641,
-0.035442695021629333,
0.015632055699825287,
-0.0493524968624115,
-0.008399523794651031,
0.018831873312592506,
-0.015509708784520626,
-0.026803186163306236,
0.004580916836857796,
-0.015500297769904137,
-0.036364998668432236,
0.00952887162566185,
0.030417099595069885,
-0.012978088110685349,
0.05390753224492073,
0.09057369083166122,
0.022906936705112457,
0.016723757609725,
-0.06633035838603973,
0.024017462506890297,
0.017693115398287773,
0.028478385880589485,
-0.03964010626077652,
0.024168042466044426,
-0.008992431685328484,
-0.05597800388932228,
0.006404342595487833,
0.009872381575405598,
0.03271343931555748,
-0.015359128825366497,
-0.04174822196364403,
-0.00018131325487047434,
0.0009422995499335229,
0.05172412469983101,
0.03794608265161514,
-0.0010305298492312431,
0.028214871883392334,
-0.05846256762742996,
-0.022474020719528198,
-0.01716608554124832,
-0.04076945409178734,
-0.017787227407097816,
0.03768257051706314,
-0.025805596262216568,
0.007510162424296141,
-0.0015928508946672082,
-0.006150239612907171,
-0.006027893628925085,
0.016723757609725,
-0.007194886449724436,
0.03433217108249664,
-0.018154265359044075,
0.004046829417347908,
-0.030285341665148735,
0.02701023407280445,
-0.007858377881348133,
-0.0415976420044899,
-0.0700572058558464,
-0.024055106565356255,
-0.02177758887410164,
-0.01615908369421959,
-0.012451059184968472,
0.03967775031924248,
-0.005223233252763748,
0.0016869631363078952,
-0.08040955662727356,
-0.05059478059411049,
0.01378745399415493,
-0.07058423012495041,
-0.008639509789645672,
-0.0012399296974763274,
0.053681664168834686,
-0.04035535827279091,
-0.05503688007593155,
0.017194319516420364,
0.039263658225536346,
-0.05277818441390991,
-0.03783315047621727,
-0.03841664642095566,
-0.011538169346749783,
0.010248830541968346,
0.000047350255044875666,
-0.006573745049536228,
-0.020610596984624863,
-0.017439011484384537,
-0.039865974336862564,
0.05929075554013252,
-0.016262607648968697,
0.07935550063848495,
-0.019989455118775368,
-0.06772322207689285,
0.05624151602387428,
0.004564447328448296,
-0.06083419919013977,
-0.009834736585617065,
-0.01358981803059578,
0.012036964297294617,
-0.011029963381588459,
-0.03406865522265434,
0.033071067184209824,
-0.07382169365882874,
-0.0050679477863013744,
0.012291068211197853,
0.029155993834137917,
-0.054547496140003204,
0.01892598532140255,
0.04174822196364403,
-0.014069790951907635,
0.02189052291214466,
0.026652606204152107,
-0.05778495967388153,
-0.02273753471672535,
-0.001963418209925294,
0.03246874734759331,
-0.06395872682332993,
0.010342943482100964,
-0.025410324335098267,
-0.07521455734968185,
0.0010622927220538259,
-0.01164169330149889,
0.026539672166109085,
0.03655322268605232,
0.015293250791728497,
0.0003182172658853233,
-0.016055559739470482,
-0.04464688152074814,
0.02812075801193714,
-0.04517390951514244,
0.028723077848553658,
-0.06629271060228348,
0.044421009719371796,
0.02618204429745674,
-0.02478918246924877,
-0.027367860078811646,
0.025956176221370697,
-0.0056608556769788265,
0.01226283423602581,
0.07928021252155304,
-0.010352354496717453,
0.0692666620016098,
-0.0030845310539007187,
0.04148470610380173,
0.011782861314713955,
-0.022266972810029984,
-0.023772770538926125,
-0.025203276425600052,
-0.044571589678525925,
0.05326756834983826,
-0.05887666344642639,
-0.016168495640158653,
-0.004293874371796846,
0.03369220718741417,
0.018916575238108635,
0.03474626690149307,
0.06825024634599686,
-0.06094713136553764,
-0.04950307682156563,
0.02091175504028797,
-0.010907616466283798,
-0.0030892365612089634,
-0.030040649697184563,
-0.04197409003973007,
0.044948041439056396,
0.005717323161661625,
0.07592981308698654,
0.06324347108602524,
0.035687386989593506,
-0.09335941076278687,
0.0014305071672424674,
0.028365449979901314,
-0.03952717036008835,
0.0011828740825876594,
-0.02177758887410164,
-0.03702378273010254,
0.009255945682525635,
0.015650877729058266,
0.02992771565914154,
-0.06704561412334442,
0.029306573793292046,
-0.017279019579291344,
-0.007138418965041637,
-0.02537267841398716,
-0.016177905723452568,
0.015650877729058266,
0.025391502305865288,
-0.02591853030025959,
-0.021946990862488747,
-0.00971239060163498,
-0.06083419919013977,
0.04769612103700638,
0.02273753471672535,
-0.026652606204152107,
0.03478391095995903,
0.023113984614610672,
-0.013523939065635204,
0.0028492503333836794,
0.026445560157299042,
-0.007599569391459227,
-0.029570087790489197,
0.023189272731542587,
-0.04031771421432495,
0.02064824104309082,
0.03352280706167221,
0.013552173040807247,
0.012742807157337666,
0.030021827667951584,
-0.03869898244738579,
0.06467398256063461,
-0.019914165139198303,
0.0027880773413926363,
-0.05059478059411049,
-0.05146061256527901,
-0.05168648064136505,
-0.05142296850681305,
0.00913830567151308,
0.023245740681886673,
0.012573405168950558,
-0.03551798686385155,
-0.05575213208794594,
0.0498795248568058,
-0.09057369083166122,
-0.026219690218567848,
0.028666609898209572,
-0.019020097330212593,
0.02204110287129879,
-0.05044420063495636,
0.02618204429745674,
-0.03685438260436058,
0.012639283202588558,
0.05409575626254082,
-0.016761403530836105,
-0.009326529689133167,
0.01849306933581829,
0.059102531522512436,
-0.03866133838891983,
-0.06919137388467789,
0.03145233541727066,
0.046002097427845,
0.022116392850875854,
-0.0006705502164550126,
-0.024920940399169922,
0.05006774887442589,
-0.0073878164403140545,
-0.0122063672170043,
-0.0043103438802063465,
-0.019914165139198303,
-0.021457606926560402,
0.06422223895788193,
-0.0020292967092245817,
-0.01323219109326601,
-0.011425234377384186,
0.032374635338783264,
0.008926552720367908,
0.007298409938812256,
0.049126625061035156,
0.0018951867241412401,
-0.022003458812832832,
0.03497213497757912,
0.01920832321047783,
0.05353108420968056,
0.0035668567288666964,
-0.05003010481595993,
-0.015020324848592281,
-0.03260050341486931,
-0.045550357550382614,
-0.02023414708673954,
0.013156901113688946,
-0.010907616466283798,
0.025730306282639503,
-0.019001275300979614,
0.01966947317123413,
0.03881191834807396,
0.007081951480358839,
0.014069790951907635,
0.015980269759893417,
0.04299050569534302,
-0.008540692739188671,
0.01955653913319111,
0.03173467144370079,
0.021288204938173294,
-0.0122722452506423,
-0.007133713457733393,
-0.01955653913319111,
-0.007321937941014767,
0.017213141545653343,
0.017589591443538666,
0.03990361839532852,
-0.004997363779693842,
-0.0007981900707818568,
0.038341354578733444,
-0.027781954035162926,
0.02757490798830986,
-0.05100887268781662,
-0.028233693912625313,
0.019349491223692894,
-0.021457606926560402,
0.07227825373411179,
-0.00991943757981062,
0.000006621867214562371,
0.02399863861501217,
-0.02010238915681839,
-0.015904979780316353,
-0.006456104572862387,
0.034426283091306686,
-0.005609093699604273,
0.046642061322927475,
0.020704708993434906,
-0.02343396469950676,
-0.004889134783297777,
0.025033874437212944,
-0.006178473122417927,
-0.010907616466283798,
0.03408747911453247,
-0.013665108010172844,
0.015632055699825287,
-0.0230010487139225,
-0.02467624843120575,
0.03135822340846062,
-0.00837599579244852,
0.027631374076008797,
0.0030233580619096756,
0.019631829112768173,
-0.00019969456479884684,
-0.0342380590736866,
0.014013323001563549,
-0.043592821806669235,
-0.03147115558385849,
0.013345126062631607,
-0.03214876726269722,
-0.021250560879707336,
0.027687842026352882,
-0.02618204429745674,
-0.03160291537642479,
-0.029890069738030434,
-0.0014246251666918397,
0.07852731645107269,
0.012394591234624386,
-0.008987725712358952,
-0.02204110287129879,
-0.039150722324848175,
-0.06892785429954529,
-0.023245740681886673,
0.012940443120896816,
0.012498115189373493,
0.019330669194459915,
-0.008197182789444923,
0.0006976075237616897,
-0.002179876435548067,
0.026972588151693344,
0.02785724401473999,
0.027085524052381516,
0.004140941891819239,
0.00021778176596853882,
-0.00820188783109188,
-0.0026845536194741726,
-0.0415976420044899,
-0.005373813211917877,
0.01668611355125904,
0.05044420063495636,
-0.004780905321240425,
-0.03497213497757912,
-0.0037691981997340918,
-0.05210057646036148,
0.012338124215602875,
0.038887206465005875,
0.008512458764016628,
0.012404002249240875,
-0.05473572015762329,
-0.022417552769184113,
0.05767202377319336,
0.006710208021104336,
0.04001655429601669,
-0.025429146364331245,
0.0008117186953313649,
0.019133033230900764,
0.023113984614610672,
-0.010248830541968346,
0.03480273112654686,
0.00028645433485507965,
-0.010154718533158302,
-0.01659199967980385,
0.01435212790966034,
0.06294231116771698,
0.010700569488108158,
0.046378545463085175,
0.0122063672170043,
0.0031527625396847725,
-0.025278566405177116,
0.05183706060051918,
-0.002773960353806615,
0.020045923069119453,
-0.0027574908453971148,
0.04841137304902077,
0.03815313056111336,
-0.03960246220231056,
-0.03967775031924248,
-0.015669699758291245,
-0.05484865605831146,
0.03839782252907753,
-0.01827661134302616,
0.0068184370175004005,
-0.018088385462760925,
-0.01768370345234871,
-0.026106756180524826,
-0.011876973323523998,
-0.014719165861606598,
-0.003355104010552168,
-0.01226283423602581,
-0.008959491737186909,
0.0074913399294018745,
-0.04058123007416725,
0.047470249235630035,
-0.016648467630147934,
-0.01552853174507618,
0.012451059184968472,
0.018540125340223312,
0.03482155501842499,
0.03647793084383011,
0.0638081505894661,
0.028591319918632507,
0.02409275248646736,
0.03324046730995178,
-0.007129007484763861,
-0.03421923518180847,
0.010201774537563324,
0.035122714936733246,
0.04140941798686981,
-0.018041329458355904,
-0.03308988735079765,
-0.023113984614610672,
0.04155999794602394,
-0.0462656132876873,
0.01150993537157774,
-0.032374635338783264,
0.04016713425517082,
-0.0010358236031606793,
-0.015302661806344986,
0.0003490978560876101,
-0.017693115398287773,
-0.041221193969249725,
-0.03448275104165077,
0.015425007790327072,
-0.005872608162462711,
-0.011820506304502487,
-0.006841965019702911,
0.059253111481666565,
-0.011735805310308933,
-0.052175864577293396,
-0.033635739237070084,
-0.05353108420968056,
-0.023095160722732544,
0.027556084096431732,
0.006112594623118639,
-0.004470334853976965,
-0.002663378370925784,
0.021871700882911682,
-0.027405505999922752,
-0.026934944093227386,
0.027198458090424538,
0.0023633954115211964,
0.01602732576429844,
0.004538566339761019,
-0.02620086818933487,
0.039865974336862564,
-0.013203957118093967,
-0.03467097505927086,
0.010757037438452244,
0.0022175214253365993,
-0.012112254276871681,
-0.01087938342243433,
-0.02787606604397297,
0.004169175401329994,
-0.04833608493208885,
0.05131003260612488,
0.012996910139918327,
-0.04562564939260483,
0.0012658105697482824,
-0.002386923413723707,
0.006173767615109682,
0.009891203604638577,
0.0058490801602602005,
0.009604161605238914,
0.031094707548618317,
0.0003685085102915764,
-0.05959191545844078,
0.028346627950668335,
-0.042764633893966675,
-0.010258241556584835,
-0.006597273051738739,
0.013542762026190758,
0.0024257448967546225,
-0.05906488746404648,
-0.029683023691177368,
0.0268784761428833,
-0.016714345663785934,
-0.002275165170431137,
0.006470221560448408,
0.004105649422854185,
0.02964537777006626,
0.019500071182847023,
-0.024563312530517578,
0.010634691454470158,
0.03175349533557892,
0.020874110981822014,
0.04965365678071976,
0.03766374662518501,
0.022342262789607048,
0.014483884908258915,
0.009237123653292656,
-0.021288204938173294,
-0.02896776981651783,
0.021570540964603424,
0.0012516936985775828,
0.012516937218606472,
0.016083793714642525,
0.046378545463085175,
-0.02994653768837452,
-0.07276763767004013,
0.026238512247800827,
-0.03184760734438896,
0.0452115535736084,
-0.011161720380187035,
-0.04347988963127136,
-0.013730986043810844,
0.027236102148890495,
-0.005482042208313942,
0.012225189246237278,
0.012347535230219364,
-0.02021532505750656,
0.00034703913843259215,
-0.01406037900596857,
0.03994126617908478,
0.0413341261446476,
0.014662697911262512,
-0.04268934577703476,
0.007872494868934155,
-0.02021532505750656,
0.03559327498078346,
0.0013681576820090413,
0.036364998668432236,
0.04125883802771568,
-0.027687842026352882,
-0.028647787868976593,
-0.023264562711119652,
0.040694162249565125,
-0.02426215447485447,
0.018765995278954506,
-0.0083618788048625,
-0.043178729712963104,
-0.028083113953471184,
-0.0017575473757460713,
-0.004446806851774454,
-0.009044192731380463,
-0.005354990717023611,
0.02426215447485447,
-0.034463927149772644,
-0.05872608348727226,
0.046077389270067215,
-0.011359356343746185,
-0.021852878853678703,
0.04148470610380173,
0.007326643448323011,
0.024073928594589233,
-0.009453581646084785,
0.016864925622940063,
0.014088612981140614,
-0.06809967011213303,
0.03175349533557892,
0.02190934680402279,
-0.02215403877198696,
0.0055573321878910065,
-0.004893840290606022,
-0.025316212326288223,
-0.0034021600149571896,
-0.03918836638331413,
-0.01011707354336977,
-0.030134761705994606,
-0.01301573310047388,
-0.004340930376201868,
0.032336991280317307,
0.031113529577851295,
0.015688521787524223,
0.011622870340943336,
0.013222780078649521,
-0.02190934680402279,
0.01650729961693287,
-0.00855951476842165,
-0.029344219714403152,
-0.002178699942305684,
-0.028723077848553658,
0.04972894489765167,
0.001503444160334766,
-0.009303001686930656,
-0.025843240320682526,
0.045550357550382614,
0.010004138574004173,
0.02025296911597252,
-0.02450684644281864,
-0.028610141947865486,
-0.039037786424160004,
0.01594262570142746,
-0.018370723351836205,
-0.022549310699105263,
0.04340459778904915,
-0.019198911264538765,
0.0004655618395190686,
-0.00610318360850215,
0.014088612981140614,
0.02829016000032425,
0.004507979843765497,
-0.07017014175653458,
0.003345692763105035,
0.009166538715362549,
-0.016112027689814568,
-0.02077999897301197,
0.000012306287317187525,
-0.04867488890886307,
0.021137624979019165,
0.03197936341166496,
-0.011905207298696041,
0.01607438363134861,
-0.03741905465722084,
-0.022662244737148285,
0.03574385493993759,
0.07118654996156693,
-0.009938260540366173,
0.016413187608122826,
-0.009787680581212044,
0.00952887162566185,
0.036101482808589935,
0.030153585597872734,
-0.013043966144323349,
0.04769612103700638,
0.0028327805921435356,
-0.042199961841106415,
-0.007110184989869595,
0.012705162167549133,
-0.04543742537498474,
-0.028873657807707787,
-0.028741899877786636,
0.01570734567940235,
0.010022961534559727,
-0.0170531515032053,
-0.0029880658257752657,
-0.01925537921488285,
0.013156901113688946,
-0.006936077494174242,
0.0006870198994874954,
0.032092299312353134,
0.042049381881952286,
0.036929670721292496,
0.0015516767743974924,
0.037776682525873184,
0.0016528475098311901,
-0.01614026166498661,
-0.003649204969406128,
-0.020290615037083626,
-0.013006321154534817,
-0.0037597869522869587,
0.01600850373506546,
-0.0004217407840769738,
-0.03630853071808815,
0.023866882547736168,
-0.008357172831892967,
-0.01725078746676445,
0.00717606395483017,
-0.006465515587478876,
0.00282101659104228,
0.010286475531756878,
-0.032769907265901566,
-0.014050967991352081,
0.007472517434507608,
0.007016072981059551,
-0.026144400238990784,
0.0002598382125142962,
-0.026144400238990784,
0.006545511074364185,
-0.007204297464340925,
-0.010766448453068733,
-0.002931598573923111,
-0.005194999743252993,
0.003771550953388214,
0.035687386989593506,
-0.029193639755249023,
-0.0307559035718441,
-0.032638151198625565,
0.0496160089969635,
-0.0016493182629346848,
-0.0035739149898290634,
0.08748680353164673,
-0.017843693494796753,
0.009340646676719189,
0.0003558621683623642,
-0.039301302284002304,
-0.014069790951907635,
-0.01538736280053854,
-0.0004920309293083847,
0.011359356343746185,
-0.00467267632484436,
0.05119709670543671,
-0.0022081101778894663,
0.02164583094418049,
0.05639209598302841,
-0.00022983990493230522,
-0.028610141947865486,
0.03563092276453972,
-0.05974249541759491,
0.014436828903853893,
-0.002463389653712511,
0.01725078746676445,
-0.005886725150048733,
-0.005143237765878439,
0.023321030661463737,
-0.012893387116491795,
0.037080250680446625,
-0.04174822196364403,
0.03519800305366516,
-0.028591319918632507,
0.012432236224412918,
-0.007368993945419788,
0.014643875882029533,
0.01927420124411583,
0.005646738689392805,
-0.005002069287002087,
-0.012168722227215767,
-0.03796490654349327,
0.015349717810750008,
0.03286401927471161,
-0.01301573310047388,
-0.007288998458534479,
0.007896022871136665,
0.001564617152325809,
0.024017462506890297,
0.009947671554982662,
0.002119879936799407,
-0.06580332666635513,
-0.0008717153104953468,
0.0011869915761053562,
-0.00208576419390738,
-0.01824837736785412,
-0.025391502305865288,
-0.009307707659900188,
-0.04603974148631096,
-0.0009628866100683808,
0.03212994337081909,
-0.006983133498579264,
-0.02744315005838871,
-0.012281656265258789,
-0.02356572262942791,
-0.00894066970795393,
0.003668027464300394,
-0.005590271204710007,
-0.01953771524131298,
-0.017777815461158752,
-0.02716081403195858,
-0.005783201660960913,
-0.04336695373058319,
0.01620613969862461,
0.02589970827102661,
0.028647787868976593,
0.014145080000162125,
-0.04777140915393829,
-0.015481475740671158,
-0.0053220512345433235,
0.00651727756485343,
-0.06666915863752365,
0.006423165090382099,
0.01087938342243433,
-0.009778269566595554,
0.0377202145755291,
0.0068184370175004005,
0.05616622790694237,
-0.04558800533413887,
0.0031692320480942726,
0.005383224226534367,
-0.007552512921392918,
0.007392521947622299,
-0.010446466505527496,
0.0013011026894673705,
0.00912418868392706,
-0.01032412052154541,
0.007213708478957415,
0.006851376499980688,
-0.008103069849312305,
0.005980837624520063,
0.015669699758291245,
-0.0342380590736866,
-0.024488024413585663,
0.01191461831331253,
0.009759446606040001,
-0.05360637232661247,
-0.013288658112287521
] |
This study explores the vaccine prioritization strategy to reduce the overall
burden of the pandemic when the supply is limited. Existing methods conduct
macro-level or simplified micro-level vaccine distribution by assuming the
homogeneous behavior within subgroup populations and lacking mobility dynamics
integration. Directly applying these models for micro-level vaccine allocation
leads to sub-optimal solutions due to the lack of behavioral-related details.
To address the issue, we first incorporate the mobility heterogeneity in
disease dynamics modeling and mimic the disease evolution process using a
Trans-vaccine-SEIR model. Then we develop a novel deep reinforcement learning
to seek the optimal vaccine allocation strategy for the high-degree
spatial-temporal disease evolution system. The graph neural network is used to
effectively capture the structural properties of the mobility contact network
and extract the dynamic disease features. In our evaluation, the proposed
framework reduces 7% - 10% of infections and deaths than the baseline
strategies. Extensive evaluation shows that the proposed framework is robust to
seek the optimal vaccine allocation with diverse mobility patterns in the
micro-level disease evolution system. In particular, we find the optimal
vaccine allocation strategy in the transit usage restriction scenario is
significantly more effective than restricting cross-zone mobility for the top
10% age-based and income-based zones. These results provide valuable insights
for areas with limited vaccines and low logistic efficacy. | [
-0.019918449223041534,
0.0014620787696912885,
-0.01822851411998272,
-0.01681390590965748,
0.044242121279239655,
-0.03115936554968357,
-0.033494893461465836,
0.03226067125797272,
-0.03640006482601166,
0.03387465700507164,
-0.01771583780646324,
-0.018598780035972595,
0.01957666501402855,
0.012009932659566402,
-0.0032517011277377605,
0.056432440876960754,
-0.009940236806869507,
0.0021480214782059193,
0.05084995925426483,
-0.020829875022172928,
0.0650150328874588,
0.0036646907683461905,
0.010718746110796928,
0.01898803561925888,
0.0020079847890883684,
0.021893205121159554,
-0.0048110936768352985,
0.022519810125231743,
-0.03938118740916252,
0.0720406100153923,
0.033608824014663696,
0.028254197910428047,
-0.01188651006668806,
-0.07158489525318146,
0.05297661945223808,
0.019263362511992455,
0.002157515613362193,
0.03129228204488754,
0.02092481590807438,
0.026526285335421562,
-0.048989132046699524,
-0.026583250612020493,
-0.023886948823928833,
-0.028539016842842102,
0.0237350445240736,
0.01953868940472603,
-0.009555729106068611,
0.0022655099164694548,
-0.018484853208065033,
0.0018109838711097836,
0.0044716824777424335,
-0.02310843952000141,
0.016035396605730057,
-0.0381469652056694,
-0.0712810829281807,
0.03254549205303192,
0.05415387824177742,
0.026944022625684738,
0.05962243303656578,
-0.03106442652642727,
0.024779386818408966,
-0.046938423067331314,
0.000409132830100134,
0.02626045234501362,
-0.004687671083956957,
-0.0061236415058374405,
0.03721655160188675,
0.030323892831802368,
-0.03172900900244713,
0.016614530235528946,
-0.0825599804520607,
0.03264043480157852,
-0.00458323722705245,
0.014269508421421051,
-0.002743771066889167,
0.023848973214626312,
0.013813795521855354,
0.0474700890481472,
0.010386455804109573,
-0.003030965104699135,
0.06497705727815628,
-0.012636537663638592,
-0.040178682655096054,
-0.00404919870197773,
0.10838370770215988,
-0.021380528807640076,
0.05597672984004021,
-0.07306595891714096,
-0.0005301815690472722,
0.02495027892291546,
-0.06623026728630066,
-0.028956754133105278,
-0.022652726620435715,
0.0080794095993042,
-0.04276105761528015,
0.012047908268868923,
-0.022823618724942207,
-0.0326973982155323,
-0.04127999022603035,
0.010585829615592957,
0.011155471205711365,
-0.016775930300354958,
-0.007713889237493277,
0.028766874223947525,
0.04279903322458267,
-0.06782526522874832,
-0.03467215225100517,
-0.00846866425126791,
-0.009740862064063549,
0.14658764004707336,
0.00011326066305628046,
-0.0487612746655941,
-0.010424431413412094,
0.03700768202543259,
-0.034748103469610214,
-0.036893751472234726,
-0.030171988531947136,
-0.05760969966650009,
0.02565283700823784,
-0.06030600145459175,
0.041697725653648376,
0.02774151973426342,
0.008634809404611588,
-0.061217427253723145,
-0.024798374623060226,
0.029279550537467003,
-0.02645033411681652,
-0.014117604121565819,
0.016785424202680588,
-0.003968499600887299,
-0.037444405257701874,
0.014421412721276283,
-0.0637238472700119,
-0.035545602440834045,
0.02781747281551361,
-0.0019700087141245604,
0.0028505788650363684,
-0.01950071193277836,
-0.015712600201368332,
0.017269618809223175,
0.02842509001493454,
-0.010329491458833218,
-0.047014378011226654,
0.02700098603963852,
-0.007652178406715393,
0.019291844218969345,
-0.017317088320851326,
0.05958445742726326,
-0.008482905104756355,
-0.018779167905449867,
-0.021893205121159554,
-0.019443748518824577,
0.026906047016382217,
0.07052156329154968,
0.06148326024413109,
-0.00946553610265255,
-0.026070572435855865,
0.0022666966542601585,
0.024570517241954803,
-0.01766836643218994,
0.04576116427779198,
-0.03541268780827522,
0.05350828543305397,
0.05297661945223808,
0.02221600152552128,
0.032089781016111374,
0.049748651683330536,
0.01223778910934925,
-0.07644583284854889,
0.053128521889448166,
-0.01967160403728485,
-0.002162262564525008,
-0.02426670864224434,
0.0799776092171669,
-0.03469114005565643,
0.028671933338046074,
-0.017355063930153847,
-0.012304247356951237,
-0.00950351171195507,
0.02498825453221798,
-0.06015409529209137,
0.014269508421421051,
0.026640214025974274,
0.0459890216588974,
0.020848862826824188,
0.030684664845466614,
0.048381514847278595,
-0.017212653532624245,
-0.014098616316914558,
0.003899667877703905,
0.017459498718380928,
0.03368477523326874,
0.04268510267138481,
-0.033532869070768356,
-0.011668147519230843,
-0.07044561207294464,
0.007011332083493471,
-0.02498825453221798,
0.029317526146769524,
0.02020327001810074,
-0.04196355864405632,
0.03324805200099945,
-0.017345570027828217,
-0.011070025153458118,
-0.015930961817502975,
-0.039495114237070084,
0.0419255830347538,
-0.009626934304833412,
-0.000011867522516695317,
-0.05700208246707916,
-0.05567292124032974,
-0.0635339692234993,
-0.06596443802118301,
-0.014544835314154625,
0.00809839740395546,
-0.005069805309176445,
-0.019149433821439743,
-0.013386565260589123,
0.003356135217472911,
0.005240697879344225,
0.011193446815013885,
0.04329271987080574,
0.11240917444229126,
-0.028121281415224075,
-0.009223437868058681,
0.014155580662190914,
-0.0250262301415205,
0.03721655160188675,
-0.024551529437303543,
-0.049748651683330536,
0.012608055956661701,
-0.014924596063792706,
0.03053276054561138,
0.02293754741549492,
0.055938754230737686,
-0.002814976265653968,
0.00331103871576488,
0.01763039082288742,
0.01950071193277836,
-0.016044890508055687,
-0.023146415129303932,
0.005905278958380222,
0.0015997419832274318,
0.03941916301846504,
0.028671933338046074,
0.043672483414411545,
-0.0663062185049057,
0.12813127040863037,
0.017867742106318474,
0.03803303465247154,
-0.032849300652742386,
-0.03607726842164993,
-0.000163920150953345,
-0.005335637833923101,
-0.04990055784583092,
0.04154582321643829,
-0.019272856414318085,
-0.012209306471049786,
0.031425200402736664,
-0.034862034022808075,
0.03598232567310333,
0.021266600117087364,
-0.041659750044345856,
0.04200153425335884,
0.012275764718651772,
0.016044890508055687,
0.070179782807827,
0.03252650424838066,
-0.015494236722588539,
0.02107672020792961,
-0.02565283700823784,
-0.036134231835603714,
-0.039684996008872986,
-0.0257667638361454,
0.005667928606271744,
-0.013709361664950848,
-0.019063986837863922,
-0.01690884493291378,
0.06148326024413109,
0.04530545324087143,
-0.007362610660493374,
-0.04522950202226639,
-0.008829436264932156,
0.012085884809494019,
-0.0663062185049057,
-0.01285490021109581,
-0.02698199823498726,
-0.051685433834791183,
-0.05874898284673691,
0.00882468931376934,
-0.03529875725507736,
-0.021912192925810814,
0.029355503618717194,
-0.02569081261754036,
0.062052901834249496,
-0.006959115155041218,
-0.03049478493630886,
0.00042871423647738993,
-0.008853171952068806,
0.0036480764392763376,
-0.03841279447078705,
-0.004879924934357405,
-0.0033988584764301777,
0.025178134441375732,
0.0019071107963100076,
-0.029507407918572426,
-0.012684008106589317,
0.015029029920697212,
-0.06026802584528923,
-0.02174130082130432,
0.053166501224040985,
0.0025918667670339346,
-0.013547963462769985,
-0.03465316444635391,
0.07807879894971848,
-0.003159134415909648,
0.015892986208200455,
0.018067115917801857,
-0.00440285075455904,
-0.03976094722747803,
0.007832564413547516,
0.024038853123784065,
-0.03174799680709839,
0.01013011671602726,
0.012304247356951237,
0.011658653616905212,
0.04249522462487221,
-0.01690884493291378,
-0.004103789106011391,
-0.0016483988147228956,
-0.027646580711007118,
0.006503402255475521,
-0.06786324083805084,
-0.03319108486175537,
-0.0012852526269853115,
0.011411809362471104,
-0.034235429018735886,
0.04071034863591194,
-0.04249522462487221,
-0.03119734302163124,
0.016605036333203316,
-0.07671166211366653,
-0.025197124108672142,
-0.010357973165810108,
-0.013813795521855354,
-0.07181274890899658,
-0.04784984886646271,
0.011345351114869118,
0.0066980295814573765,
0.0007440936169587076,
0.0011802250519394875,
-0.014744210056960583,
0.022709690034389496,
-0.03584941104054451,
-0.002905169501900673,
-0.0378621444106102,
0.026811106130480766,
-0.0008514947257936001,
-0.016614530235528946,
-0.008971846662461758,
0.020070353522896767,
-0.07002787292003632,
-0.08468663692474365,
0.011943474411964417,
-0.06004016846418381,
0.038279879838228226,
-0.005221709609031677,
0.012617549858987331,
-0.01251311507076025,
0.00022518623154610395,
-0.030058059841394424,
0.04314081743359566,
0.020639995113015175,
-0.0169942919164896,
-0.02024124562740326,
-0.021836241707205772,
0.014440401457250118,
-0.05130567401647568,
-0.027570627629756927,
0.0566982738673687,
-0.0526348352432251,
0.027931399643421173,
-0.033570848405361176,
0.0190260112285614,
0.0035958592779934406,
0.030627701431512833,
0.03321007266640663,
-0.02508319541811943,
0.005720145534723997,
0.05795148387551308,
-0.004604598507285118,
-0.03846976161003113,
-0.015332838520407677,
-0.05130567401647568,
-0.015864504501223564,
-0.0014786932151764631,
0.0025633848272264004,
-0.014174568466842175,
-0.0009226998663507402,
0.006878416053950787,
-0.020412137731909752,
-0.0013267890317365527,
-0.008672785013914108,
0.03674184903502464,
-0.028747886419296265,
-0.0338936448097229,
-0.002693927614018321,
-0.0821802169084549,
-0.011164965108036995,
-0.04268510267138481,
0.033570848405361176,
0.02840610034763813,
-0.008672785013914108,
-0.022045109421014786,
-0.0018430262571200728,
0.03372275084257126,
-0.039571065455675125,
-0.04135594144463539,
-0.003446328453719616,
-0.04686247184872627,
-0.03233662620186806,
0.03651399165391922,
0.008715508505702019,
0.057191964238882065,
-0.03987487405538559,
0.04257117584347725,
0.046406760811805725,
-0.03300120681524277,
0.021836241707205772,
-0.005506530404090881,
0.03368477523326874,
0.0024542035534977913,
0.0017884356202557683,
-0.0366658978164196,
-0.0237350445240736,
0.03791910782456398,
-0.019747557118535042,
0.034216441214084625,
-0.02910865843296051,
-0.03336197882890701,
-0.03649500384926796,
-0.026222476735711098,
0.01834244281053543,
-0.01633920520544052,
-0.05100186541676521,
0.0029645070899277925,
0.07200263440608978,
0.005321396980434656,
0.01111749466508627,
-0.03983689844608307,
-0.017165184020996094,
0.021532433107495308,
-0.0635339692234993,
-0.053888045251369476,
0.030703652650117874,
-0.03195686265826225,
0.015342332422733307,
-0.05662232264876366,
0.01620628871023655,
0.04325474426150322,
-0.0015534586273133755,
0.01387075986713171,
-0.010975084267556667,
-0.06961014121770859,
-0.0249312911182642,
0.03057073801755905,
-0.051799360662698746,
0.004604598507285118,
-0.002900422550737858,
-0.0047731176018714905,
-0.025349028408527374,
-0.00724868243560195,
-0.00876297801733017,
-0.006166364531964064,
0.03717857226729393,
0.011943474411964417,
-0.046406760811805725,
-0.06839490681886673,
-0.053052570670843124,
0.025500932708382607,
0.06406563520431519,
0.05290066823363304,
0.0380520224571228,
-0.013054274022579193,
0.0018323453841730952,
0.0044930437579751015,
-0.008397459052503109,
0.02438063733279705,
0.02578575164079666,
-0.004253319930285215,
0.05084995925426483,
-0.02026023343205452,
-0.04002678021788597,
0.007770853582769632,
-0.00542583130300045,
-0.025937655940651894,
-0.025424979627132416,
-0.030665677040815353,
0.03510887920856476,
-0.000971356697846204,
0.010918120853602886,
-0.034881021827459335,
0.019215891137719154,
-0.04412819445133209,
-0.02164635993540287,
-0.0016531458823010325,
0.027532652020454407,
0.027931399643421173,
-0.028045328333973885,
-0.0018596407026052475,
0.018162056803703308,
0.030285917222499847,
-0.044356051832437515,
-0.01750696823000908,
0.007334128953516483,
0.03224168345332146,
0.03106442652642727,
0.017393041402101517,
0.05119174346327782,
0.040254633873701096,
0.018579792231321335,
-0.007490780204534531,
-0.05350828543305397,
-0.015085994265973568,
-0.057875532656908035,
0.019785532727837563,
0.0007393466075882316,
-0.042950935661792755,
0.032146744430065155,
0.01122192945331335,
-0.04724223166704178,
0.04940686747431755,
0.014449895359575748,
-0.013965699821710587,
0.01698479801416397,
-0.020829875022172928,
-0.005900532007217407,
0.015570188872516155,
0.021456480026245117,
0.023450223729014397,
-0.002641710452735424,
-0.0035056660417467356,
-0.021285587921738625,
0.006294533610343933,
-0.00321609852835536,
-0.009028811007738113,
0.036134231835603714,
-0.027551639825105667,
-0.055900778621435165,
-0.016481615602970123,
-0.017459498718380928,
0.007685407530516386,
-0.018124079331755638,
0.004305536858737469,
-0.07245834171772003,
-0.049672700464725494,
0.04530545324087143,
0.007296152878552675,
-0.03867862746119499,
-0.03672286123037338,
-0.002674939576536417,
0.014753703959286213,
-0.009019317105412483,
-0.07515464723110199,
-0.0021314069163054228,
-0.000612364150583744,
-0.042419273406267166,
0.04530545324087143,
0.009005076251924038,
0.007637937553226948,
-0.002814976265653968,
-0.03653297945857048,
0.020696958526968956,
-0.05833124369382858,
0.03180496022105217,
0.015029029920697212,
-0.005810339003801346,
-0.0014442774700000882,
0.0009749169694259763,
-0.017051255330443382,
0.020715946331620216,
0.0028054823633283377,
0.04268510267138481,
0.03719756007194519,
0.009346860460937023,
-0.017336076125502586,
-0.05225507542490959,
-0.05407792702317238,
0.006764487829059362,
-0.0430268868803978,
-0.020507078617811203,
0.014269508421421051,
0.0032137250527739525,
0.01702277362346649,
-0.012693502008914948,
0.017136702314019203,
0.034216441214084625,
0.012313741259276867,
0.015190428122878075,
-0.06342004239559174,
0.004685297608375549,
0.015807539224624634,
0.001445464207790792,
0.04378641024231911,
-0.01826648972928524,
0.005459060426801443,
0.010092141106724739,
0.010196574963629246,
0.036893751472234726,
0.012380199506878853,
0.003992234356701374,
-0.022538797929883003,
0.0583692230284214,
0.0019249120960012078,
0.06740752607584,
-0.008938618004322052,
0.0162537582218647,
0.04686247184872627,
0.009204450063407421,
-0.08658543974161148,
0.014297991059720516,
-0.03169102966785431,
0.039533089846372604,
0.018769674003124237,
-0.008563604205846786,
-0.002985868602991104,
0.004960624501109123,
-0.02031719870865345,
-0.01898803561925888,
-0.03203281760215759,
-0.011250411160290241,
-0.011440291069447994,
0.01694682240486145,
-0.06155921146273613,
-0.017136702314019203,
-0.02840610034763813,
-0.002947892528027296,
0.0659264624118805,
-0.010671275667846203,
0.03123531863093376,
-0.0014490244211629033,
0.03334299102425575,
0.004709032829850912,
0.046330805867910385,
-0.003493798663839698,
0.02029821090400219,
0.02565283700823784,
0.021988146007061005,
0.03793809562921524,
0.01183904055505991,
0.018636757507920265,
0.026564260944724083,
-0.002857699291780591,
0.04390033707022667,
0.0045974780805408955,
-0.011402315460145473,
0.024076828733086586,
-0.0015926214400678873,
-0.0000039913816181069706,
0.02157040871679783,
0.012646031565964222,
0.041659750044345856,
0.013073262758553028,
0.005335637833923101,
0.009717127308249474,
0.017915211617946625,
0.06364789605140686,
0.031349245458841324,
0.0012852526269853115,
-0.007082537282258272,
-0.03315310925245285,
-0.022614751011133194,
-0.05221709609031677,
0.03169102966785431,
0.030760617926716805,
-0.03176698461174965,
0.02512117102742195,
0.06740752607584,
0.003909161780029535,
-0.01613982953131199,
-0.018095597624778748,
0.015997419133782387,
-0.023412248119711876,
0.04477378726005554,
-0.019785532727837563,
-0.01698479801416397,
0.03860267624258995,
0.02088683843612671,
0.0060571832582354546,
-0.014516353607177734,
-0.0526348352432251,
-0.021342551335692406,
0.036779824644327164,
0.012551091611385345,
0.04887520521879196,
0.014060640707612038,
0.03541268780827522,
0.0024660711642354727,
0.0015356573276221752,
-0.025235099717974663,
-0.041621774435043335,
-0.025918668136000633,
0.012437162920832634,
0.054457686841487885,
0.022064097225666046,
0.025975633412599564,
0.014744210056960583,
0.030153000727295876,
-0.025481943041086197,
-0.02166534774005413,
0.008829436264932156,
0.02020327001810074,
-0.021380528807640076,
0.027456698939204216,
0.07587619125843048,
0.005330890882760286,
-0.01826648972928524,
-0.00046936050057411194,
-0.011696630157530308,
-0.004063439555466175,
-0.00642270315438509,
0.050356268882751465,
-0.007224947679787874,
-0.008236060850322247,
-0.02365909144282341,
-0.019168421626091003,
-0.02172231301665306,
-0.029906155541539192,
-0.008696520701050758,
0.007970227859914303,
0.03106442652642727,
-0.03100746124982834,
-0.030020084232091904,
0.006603089161217213,
0.014525847509503365,
-0.0022987390402704477,
0.008212325163185596,
0.00985479075461626,
0.028709908947348595,
-0.006365738809108734,
0.0018347189761698246,
-0.013149214908480644,
0.06995192170143127,
0.011554219760000706,
0.00506505835801363,
0.0007666419260203838,
-0.05293864384293556,
0.05084995925426483,
-0.00876772589981556,
-0.0020696958526968956,
0.023279331624507904,
-0.017051255330443382,
0.04591307044029236,
-0.030912522226572037,
-0.008720255456864834,
0.0061616175808012486,
0.001909484388306737,
-0.004796852357685566,
-0.028614969924092293,
-0.018162056803703308,
-0.024513553828001022,
0.008283530361950397,
0.03645702823996544,
0.04272307828068733,
0.05628053843975067,
-0.04530545324087143,
-0.016415156424045563,
0.003508039517328143,
0.0012460898142307997,
0.009062039665877819,
-0.006379980128258467,
-0.01388025376945734,
0.0037501370534300804,
-0.04925496503710747,
-0.019443748518824577,
0.01050038356333971,
0.03205180540680885,
-0.0005103034782223403,
-0.003624341217800975,
0.012408681213855743,
-0.04276105761528015,
0.00781832356005907,
0.014706233516335487,
0.010177587158977985,
-0.07116715610027313,
-0.007229694630950689,
0.03245055302977562,
-0.022140050306916237,
-0.007927505299448967,
-0.01323466096073389,
-0.031539127230644226,
0.014307484962046146,
-0.01448787096887827,
0.027456698939204216,
0.021266600117087364,
-0.004488296806812286,
-0.04792580008506775,
0.0016673868522047997,
-0.029279550537467003,
-0.026146525517106056,
-0.0013825662899762392,
0.016633519902825356,
-0.008615821599960327,
0.017165184020996094,
-0.03850773721933365,
0.0023533296771347523,
-0.014421412721276283,
0.006294533610343933,
0.01560816541314125,
0.007970227859914303,
-0.04135594144463539,
0.015930961817502975,
0.002110045403242111,
0.019044999033212662,
0.011364338919520378,
-0.03123531863093376,
0.0021895577665418386,
0.019206397235393524,
-0.03941916301846504,
-0.0027034215163439512,
-0.004300789907574654,
-0.011914992704987526,
0.014279002323746681,
-0.01558917760848999,
-0.0004732174566015601,
-0.04177367687225342,
-0.002157515613362193,
0.02908967062830925,
0.05225507542490959,
0.010794698260724545,
0.012266270816326141,
0.03436834365129471,
-0.04993853345513344,
0.007557237986475229,
-0.005240697879344225,
0.038108985871076584,
-0.013424540869891644,
0.016614530235528946,
-0.019994402304291725,
0.047735922038555145,
0.015722094103693962,
0.013320107012987137,
0.004220090806484222,
-0.004044451750814915,
-0.03983689844608307,
0.004989106208086014,
-0.019443748518824577,
0.009076281450688839,
0.006702776532620192,
-0.013623915612697601,
0.007224947679787874,
0.0003957818553317338,
-0.017468992620706558,
0.028045328333973885,
-0.02027922123670578,
0.00033110385993495584,
0.016557566821575165,
0.0016911219572648406,
-0.025387004017829895,
0.022842606529593468,
-0.0016495855525135994,
-0.008710761554539204,
0.020184282213449478,
-0.004642574582248926,
0.03564054146409035,
-0.004277055151760578,
-0.013310613110661507,
-0.03110240213572979,
-0.026146525517106056,
-0.03772922605276108,
0.010073153302073479,
0.015930961817502975,
-0.00810789130628109,
0.06349599361419678,
-0.0077471183612942696,
-0.015000548213720322,
0.044280100613832474,
0.041697725653648376,
0.021931180730462074,
-0.026849081739783287,
0.03945713862776756,
0.005155251827090979,
-0.0027200360782444477,
-0.031520139425992966,
0.03172900900244713,
-0.051761385053396225,
-0.03837481886148453,
-0.023355284705758095,
-0.02238689363002777,
-0.028728898614645004,
-0.0008449676097370684,
0.04534342885017395,
-0.03793809562921524,
-0.030817581340670586,
0.04553331062197685,
-0.008335747756063938,
-0.023127427324652672,
0.005929014179855585,
-0.006047689355909824,
0.037596311420202255,
0.0013220419641584158,
0.01010163500905037,
-0.011013060808181763,
-0.04055844247341156,
0.021855229511857033,
0.03163406625390053,
0.013899242505431175,
-0.004568995907902718,
0.03529875725507736,
0.0026868069544434547,
-0.02969728782773018,
-0.057229939848184586,
0.0073103937320411205,
-0.024038853123784065,
0.02580474130809307,
0.03598232567310333,
0.024570517241954803,
-0.034121498465538025,
0.0065935952588915825,
-0.013453023508191109,
-0.03535572066903114,
0.010025682859122753,
-0.0108516626060009,
0.0498625822365284,
0.01820003241300583,
0.03497596085071564,
0.02969728782773018,
-0.010215562768280506,
-0.007011332083493471,
-0.009375342167913914,
-0.02910865843296051,
0.03453923761844635,
0.02297552302479744,
-0.027361759915947914,
0.02772253192961216,
0.007077790331095457,
0.01322516705840826,
-0.04150784760713577,
0.005796097684651613,
0.013006804510951042,
-0.019842498004436493,
0.006821451708674431,
0.012959334068000317,
0.027513664215803146,
-0.02445659041404724,
-0.01564614102244377,
0.02424772083759308,
0.0039518848061561584,
-0.003804727690294385,
0.038279879838228226,
-0.04477378726005554,
-0.02559587173163891,
0.008245554752647877,
-0.04257117584347725,
-0.0030997968278825283,
0.010699758306145668,
-0.04249522462487221,
-0.0005877390503883362,
-0.007054055109620094,
0.040976181626319885,
0.018513334915041924,
-0.0012816924136132002,
-0.017991162836551666,
-0.026165513321757317,
-0.03972297161817551,
-0.026146525517106056,
-0.030969485640525818,
-0.009232932701706886,
-0.009641175158321857,
0.016415156424045563,
0.03862166404724121,
-0.07876237481832504,
0.0027983617037534714,
-0.032830312848091125,
-0.023412248119711876,
0.010576335713267326,
-0.028842825442552567,
0.00039044147706590593,
-0.04648271203041077,
0.015399296768009663,
0.028823837637901306,
0.014373943209648132,
0.029279550537467003,
0.0002857105864677578,
-0.0030357122886925936,
-0.04492569342255592,
-0.03055175021290779,
-0.007951240055263042,
0.0008259795722551644,
-0.009251920506358147,
0.007158489432185888,
0.043064866214990616,
0.015171440318226814,
-0.011801064014434814,
0.001052649226039648,
-0.026697177439928055,
0.032089781016111374,
-0.04154582321643829,
0.005544506479054689,
-0.014478377066552639,
0.017317088320851326,
-0.0008224193006753922,
-0.040824275463819504,
0.033513881266117096,
-0.007785094436258078,
0.023981889709830284,
0.07120513170957565,
0.02027922123670578,
-0.01890258863568306,
0.03171002119779587,
-0.00724868243560195,
-0.013320107012987137,
-0.01688036322593689,
-0.0156556349247694,
-0.011525738053023815,
0.01764937862753868,
-0.011421303264796734,
0.06729359924793243,
0.022671714425086975,
-0.06843288242816925,
0.021361539140343666,
0.0011558966943994164,
-0.053166501224040985,
0.012655525468289852
] |
Many organisations manage service quality and monitor a large set devices and
servers where each entity is associated with telemetry or physical sensor data
series. Recently, various methods have been proposed to detect behavioural
anomalies, however existing approaches focus on multivariate time series and
ignore communication between entities. Moreover, we aim to support end-users in
not only in locating entities and sensors causing an anomaly at a certain
period, but also explain this decision. We propose a scalable approach to
detect anomalies using a two-step approach. First, we recover relations between
entities in the network, since relations are often dynamic in nature and caused
by an unknown underlying process. Next, we report anomalies based on an
embedding of sequential patterns. Pattern mining is efficient and supports
interpretation, i.e. patterns represent frequent occurring behaviour in time
series. We extend pattern mining to filter sequential patterns based on
frequency, temporal constraints and minimum description length. We collect and
release two public datasets for international broadcasting and X from an
Internet company. \textit{BAD} achieves an overall F1-Score of 0.78 on 9
benchmark datasets, significantly outperforming the best baseline by 3\%.
Additionally, \textit{BAD} is also an order-of-magnitude faster than
state-of-the-art anomaly detection methods. | [
0.009860726073384285,
-0.010423622094094753,
-0.025269996374845505,
-0.05452046915888786,
0.034135602414608,
0.008915865793824196,
-0.03660832345485687,
0.01898767799139023,
-0.05492253601551056,
-0.002786836354061961,
0.0426192469894886,
-0.036346979439258575,
0.03574387729167938,
-0.02052558958530426,
0.001898516551591456,
0.003043154953047633,
0.015580149367451668,
-0.04796675592660904,
0.020344659686088562,
-0.03532170504331589,
-0.03339177742600441,
-0.04181510955095291,
-0.0011433819308876991,
0.0511833019554615,
0.038900114595890045,
0.03508046269416809,
0.043262556195259094,
0.009126951918005943,
-0.07792084664106369,
0.05665143206715584,
0.0025543905794620514,
-0.022395208477973938,
0.016625527292490005,
-0.017329147085547447,
-0.04953482002019882,
-0.041654281318187714,
0.050017304718494415,
0.022113759070634842,
0.012494274415075779,
0.003942782990634441,
0.010544242337346077,
-0.01634407788515091,
-0.055203985422849655,
0.00020920120005030185,
0.006729619111865759,
0.011127241887152195,
-0.047604892402887344,
-0.01159967202693224,
-0.006890446413308382,
0.021812207996845245,
-0.001385879353620112,
-0.0598679780960083,
-0.0424986258149147,
-0.026838062331080437,
-0.05411840230226517,
0.05283178389072418,
0.049132753163576126,
0.0429006926715374,
0.05661122500896454,
0.0019110811408609152,
-0.002102063735947013,
0.01796240359544754,
0.009845648892223835,
0.016896922141313553,
0.029350990429520607,
0.001483883592300117,
-0.011479051783680916,
-0.011328276246786118,
-0.018153386190533638,
-0.02559165097773075,
-0.056088536977767944,
-0.005935534369200468,
0.041372835636138916,
0.05749577656388283,
0.001385879353620112,
0.0426996611058712,
0.056088536977767944,
0.00448054913431406,
-0.0019123376114293933,
-0.05206785351037979,
0.030215436592698097,
0.03958363085985184,
0.016615474596619606,
0.04197593778371811,
0.0426996611058712,
-0.053354471921920776,
-0.035442326217889786,
-0.08901793509721756,
0.05287199094891548,
-0.04458938166499138,
-0.027843233197927475,
-0.010604552924633026,
0.024646790698170662,
-0.020334606990218163,
-0.032828882336616516,
0.03654801473021507,
0.024244721978902817,
0.005035906098783016,
-0.07076402753591537,
0.03761349618434906,
-0.0024249746929854155,
0.013429082930088043,
-0.0007878026808612049,
-0.015811339020729065,
0.010986518114805222,
-0.0596267394721508,
-0.03606553003191948,
0.008357996121048927,
-0.04865027219057083,
0.16428513824939728,
-0.0514647513628006,
0.021993139758706093,
-0.032969605177640915,
-0.008438409306108952,
-0.046639930456876755,
0.010453777387738228,
0.016022423282265663,
0.008433383889496326,
-0.025129271671175957,
-0.008453487418591976,
0.009639589115977287,
0.05407819524407387,
-0.03940270096063614,
-0.014946890994906425,
-0.00322157284244895,
0.045755378901958466,
0.04559455066919327,
-0.008971150033175945,
-0.02746126800775528,
-0.03144174441695213,
-0.02567206509411335,
-0.005845068953931332,
-0.0149066848680377,
-0.043101727962493896,
0.032949503511190414,
0.021088484674692154,
0.05311322957277298,
0.007604117970913649,
0.008935969322919846,
-0.027843233197927475,
0.003497994737699628,
-0.06622065603733063,
-0.03329126164317131,
-0.041614074259996414,
0.02045522816479206,
0.00948378723114729,
-0.008820374496281147,
0.04217696934938431,
-0.05620915815234184,
0.019279178231954575,
-0.01499714981764555,
0.04724303260445595,
0.02396327443420887,
-0.027843233197927475,
-0.0038925244007259607,
0.009207365103065968,
-0.0070663513615727425,
-0.015137873589992523,
-0.05616895109415054,
-0.006799980998039246,
0.0039754509925842285,
-0.0007664427976123989,
0.00933803804218769,
-0.01072517316788435,
0.01622345857322216,
-0.0018683613743633032,
0.03483922407031059,
-0.06171749159693718,
-0.08013222366571426,
0.051062680780887604,
0.058541152626276016,
-0.0015806312439963222,
0.008840478025376797,
0.017620645463466644,
-0.00820219423621893,
0.04519248381257057,
0.06726603955030441,
0.023822549730539322,
-0.05508336424827576,
-0.00341506814584136,
-0.015590200200676918,
0.058541152626276016,
0.014735805802047253,
0.012102257460355759,
0.04873068630695343,
0.01887710951268673,
0.04969564825296402,
-0.015921907499432564,
0.015871647745370865,
0.05210806056857109,
0.030637608841061592,
0.004586092196404934,
0.07233209908008575,
-0.012976756319403648,
-0.008850529789924622,
-0.0008631905075162649,
-0.020043108612298965,
-0.00311351683922112,
0.010006476193666458,
-0.053555507212877274,
-0.09633558243513107,
-0.06706500053405762,
0.0298133697360754,
-0.05560605227947235,
0.07985077798366547,
0.04599662125110626,
0.005407819524407387,
-0.0034628137946128845,
0.009946165606379509,
-0.011338328011333942,
-0.0012966704089194536,
-0.0515853688120842,
0.01791214570403099,
0.01193137839436531,
-0.005493259057402611,
-0.017781473696231842,
-0.015992268919944763,
0.03309022635221481,
0.0014763447688892484,
-0.03524129092693329,
0.029491713270545006,
-0.014112599194049835,
0.025008652359247208,
0.02488803118467331,
-0.00946871004998684,
-0.03258763998746872,
0.018384575843811035,
0.03682946041226387,
-0.012082153931260109,
0.043222349137067795,
-0.026134442538022995,
-0.05484212562441826,
-0.02836592309176922,
-0.052711162716150284,
-0.04434813931584358,
0.01239375676959753,
-0.00490774679929018,
-0.0019073117291554809,
-0.03500005230307579,
-0.02649630419909954,
-0.03600522130727768,
0.019058039411902428,
-0.03787484019994736,
-0.09874799102544785,
0.08491683751344681,
-0.03596501424908638,
0.030275747179985046,
0.07104548066854477,
0.009317934513092041,
0.01784178428351879,
-0.013137583620846272,
-0.026033926755189896,
0.03222578018903732,
0.03005461022257805,
-0.04937399551272392,
-0.025973616167902946,
0.01717837154865265,
0.0007306336192414165,
0.0342160165309906,
0.016605423763394356,
0.01618325151503086,
0.010624656453728676,
-0.06967844814062119,
0.07631257176399231,
0.0038322140462696552,
0.021088484674692154,
-0.00012407578469719738,
-0.001622094539925456,
0.006106412969529629,
0.0430213138461113,
0.03791504725813866,
-0.01786188594996929,
-0.04006611183285713,
-0.04712241142988205,
0.024305032566189766,
-0.013408979400992393,
0.04374503716826439,
-0.023661723360419273,
0.0340149849653244,
0.02826540544629097,
0.007996134459972382,
-0.014735805802047253,
0.002252839272841811,
-0.0028320690616965294,
0.0019274151418358088,
-0.005473155528306961,
0.0069809118285775185,
-0.04523269087076187,
-0.059546325355768204,
-0.032205674797296524,
-0.03158247098326683,
-0.012383705005049706,
-0.04957502707839012,
0.023641619831323624,
0.014213116839528084,
0.029632437974214554,
-0.007111584302037954,
0.0013280820567160845,
0.04639868810772896,
-0.008227324113249779,
-0.06316494196653366,
-0.012423912063241005,
0.036346979439258575,
0.02728033810853958,
0.0011038032826036215,
-0.019520418718457222,
-0.00409355852752924,
0.08053429424762726,
-0.01203189603984356,
-0.04002590477466583,
-0.03222578018903732,
-0.020927658304572105,
0.016052579507231712,
-0.0516255758702755,
-0.028466440737247467,
0.012655101716518402,
0.054198816418647766,
-0.07615174353122711,
0.047645099461078644,
-0.057053498923778534,
0.03331136330962181,
-0.004998212214559317,
-0.0944056510925293,
0.056932881474494934,
0.01639433763921261,
-0.061114389449357986,
0.026114339008927345,
0.023440584540367126,
-0.022113759070634842,
-0.0014110086485743523,
-0.05636998265981674,
0.009212391451001167,
-0.050982266664505005,
-0.009574253112077713,
0.000714299560058862,
-0.03222578018903732,
-0.033813949674367905,
0.0171884223818779,
0.011710240505635738,
0.004128739237785339,
-0.024465858936309814,
-0.0022855072747915983,
-0.03926197439432144,
-0.020043108612298965,
0.0009473735699430108,
-0.012423912063241005,
-0.085077665746212,
-0.009363166987895966,
-0.011388585902750492,
-0.04334297031164169,
0.0011251631658524275,
-0.038960423320531845,
0.026878269389271736,
0.00558875035494566,
0.028064372017979622,
-0.021872518584132195,
-0.02317924052476883,
-0.01534895971417427,
0.03262784704566002,
0.056772053241729736,
0.03578408434987068,
-0.042538832873106,
-0.034738704562187195,
0.0511833019554615,
-0.02746126800775528,
-0.0171180609613657,
-0.014454357326030731,
-0.011378534138202667,
-0.04619765281677246,
0.03932228684425354,
-0.04893171787261963,
0.08266525715589523,
-0.006081284023821354,
-0.01416285801678896,
-0.03331136330962181,
0.0016346591291949153,
0.028607163578271866,
-0.030114920809864998,
-0.03664853051304817,
0.01963098719716072,
-0.07977036386728287,
-0.022495724260807037,
-0.024224618449807167,
0.005201759282499552,
0.016615474596619606,
0.05202764645218849,
0.010604552924633026,
0.04205635190010071,
-0.008905814029276371,
0.011981637217104435,
0.004349877126514912,
0.018585609272122383,
-0.0430213138461113,
-0.07796105742454529,
0.04350379481911659,
-0.03658822178840637,
0.005297250580042601,
-0.007156816776841879,
0.03152215853333473,
-0.019470160827040672,
-0.016695888713002205,
-0.004440342541784048,
0.008332867175340652,
0.012634998187422752,
-0.013027015142142773,
0.03313043341040611,
0.055967915803194046,
0.03337167203426361,
0.04856985807418823,
0.01197158545255661,
-0.034658294171094894,
-0.03184381499886513,
-0.04022694006562233,
-0.009212391451001167,
-0.00113018904812634,
0.036447495222091675,
-0.03234639763832092,
-0.010544242337346077,
-0.0015090127708390355,
0.007388005964457989,
-0.061275217682123184,
-0.006950756534934044,
0.05279157683253288,
0.0009976321598514915,
-0.04619765281677246,
0.03741246089339256,
-0.028506645932793617,
-0.032105159014463425,
-0.005302276462316513,
-0.028386026620864868,
0.015982218086719513,
0.004774561617523432,
0.01794230006635189,
-0.016525009647011757,
-0.03542222082614899,
-0.0004875078739132732,
0.037251632660627365,
-0.04776572063565254,
-0.0025330306962132454,
-0.05645039677619934,
-0.028627267107367516,
0.010333157144486904,
0.010122071020305157,
0.0033447062596678734,
-0.009182236157357693,
0.00622703367844224,
-0.01368037611246109,
0.014193013310432434,
-0.053635917603969574,
-0.013429082930088043,
-0.05813908576965332,
0.014685546979308128,
-0.05669163912534714,
-0.0256519615650177,
0.010041656903922558,
-0.026978787034749985,
0.0171482153236866,
-0.031120091676712036,
0.03827690705657005,
-0.012373654171824455,
-0.0597875639796257,
0.04012642055749893,
0.008920892141759396,
-0.015278597362339497,
-0.013800996355712414,
0.030376264825463295,
-0.012735514901578426,
-0.02734064869582653,
0.008473590947687626,
0.0002315034216735512,
0.0689949318766594,
-0.09030455350875854,
-0.01788198947906494,
0.020887451246380806,
0.041614074259996414,
0.00015485913900192827,
-0.048288408666849136,
-0.007895617745816708,
0.037231530994176865,
0.023601412773132324,
0.01626366563141346,
0.016826560720801353,
-0.0031210556626319885,
0.005382690113037825,
-0.012645049951970577,
0.008644470013678074,
0.005654086358845234,
-0.021973036229610443,
-0.04531310498714447,
-0.019269125536084175,
-0.019068092107772827,
-0.008227324113249779,
-0.03942280262708664,
-0.02730044163763523,
-0.016052579507231712,
0.001855796785093844,
-0.02321944758296013,
0.05834011733531952,
0.05709370598196983,
-0.010373363271355629,
-0.021229209378361702,
-0.043262556195259094,
0.025149375200271606,
-0.02834581956267357,
-0.004490600898861885,
0.02149055339396,
0.006840188056230545,
0.04547393321990967,
0.01882685162127018,
-0.028004061430692673,
-0.032105159014463425,
-0.0004030106938444078,
0.04471000283956528,
0.004465471487492323,
-0.02045522816479206,
-0.001844488549977541,
-0.019238971173763275,
-0.015751028433442116,
-0.004719277378171682,
0.022535931318998337,
0.019349539652466774,
-0.0031059780158102512,
0.011046827770769596,
0.05480191856622696,
-0.0429006926715374,
0.005709370598196983,
0.03845783695578575,
0.04603682830929756,
-0.0129164457321167,
-0.026717443019151688,
0.02486792765557766,
0.02653651125729084,
-0.03883980214595795,
-0.06662272661924362,
-0.040608905255794525,
0.013057169504463673,
0.015610303729772568,
0.07562905550003052,
-0.03188402205705643,
-0.051786404103040695,
-0.031079884618520737,
0.03690987452864647,
0.00045389748993329704,
0.021008072420954704,
0.0029275601264089346,
0.01503735687583685,
0.009071667678654194,
-0.00024359687813557684,
0.012534481473267078,
0.0061616976745426655,
0.022837482392787933,
0.004447881132364273,
0.0019475186709314585,
0.017319094389677048,
0.016746146604418755,
-0.01964103989303112,
-0.01322804857045412,
-0.04105117917060852,
-0.016866767778992653,
-0.016695888713002205,
-0.016695888713002205,
0.05737515538930893,
-0.020113470032811165,
-0.05584729462862015,
-0.004804716911166906,
-0.01704769767820835,
-0.026998890563845634,
0.0689145177602768,
0.019118349999189377,
0.018615765497088432,
-0.019389746710658073,
-0.025491133332252502,
-0.03144174441695213,
-0.04034756124019623,
-0.02923036925494671,
-0.02390296384692192,
0.025873098522424698,
-0.029592230916023254,
0.026717443019151688,
-0.0053927418775856495,
-0.014223168604075909,
-0.00510375527665019,
0.033693328499794006,
-0.006855265703052282,
0.011941430158913136,
0.005432948470115662,
0.01366027258336544,
-0.04603682830929756,
-0.0008518823306076229,
-0.01975160837173462,
0.006322524975985289,
0.037110909819602966,
-0.00933803804218769,
0.008257478475570679,
0.016102837398648262,
-0.010805587284266949,
-0.0299942996352911,
-0.0007011066772975028,
0.020133573561906815,
-0.002497849753126502,
0.016102837398648262,
0.01623350940644741,
0.02045522816479206,
0.044790416955947876,
0.022596241906285286,
0.016776302829384804,
0.05299260839819908,
0.016484802588820457,
-0.0049228244461119175,
0.035583049058914185,
0.029833471402525902,
-0.004440342541784048,
0.06288348883390427,
-0.05805867165327072,
-0.009900933131575584,
0.031401537358760834,
0.06573817878961563,
-0.03831711411476135,
-0.023400379344820976,
-0.0006753492052666843,
0.021189002320170403,
-0.029672645032405853,
0.07848374545574188,
-0.0025141837541013956,
0.019249022006988525,
0.03996559605002403,
0.030617505311965942,
-0.041533660143613815,
0.004950466565787792,
-0.023782342672348022,
0.02036476321518421,
0.0009360653930343688,
-0.015549994073808193,
-0.019922487437725067,
-0.007759919390082359,
0.015228339470922947,
-0.0013419031165540218,
-0.006714541465044022,
0.01032310537993908,
-0.005749577656388283,
0.0005324264639057219,
0.006412990391254425,
-0.021128691732883453,
0.03542222082614899,
-0.019047988578677177,
-0.03333146870136261,
-0.008684676140546799,
0.003427632851526141,
0.038075871765613556,
0.03278867527842522,
0.02490813471376896,
0.026737546548247337,
0.016786353662610054,
0.03614594414830208,
0.01074527669698,
-0.05198743939399719,
0.038960423320531845,
0.014454357326030731,
-0.019500315189361572,
0.05033895745873451,
0.016685836017131805,
-0.037271738052368164,
0.0003455274854786694,
0.0072372304275631905,
0.007850384339690208,
-0.019409850239753723,
-0.017449766397476196,
-0.019188713282346725,
0.009951191954314709,
0.029451508074998856,
-0.004088532645255327,
-0.013408979400992393,
-0.04704199731349945,
0.017329147085547447,
0.002816991414874792,
0.002066882560029626,
-0.014836322516202927,
0.038196492940187454,
0.037231530994176865,
-0.06521549075841904,
-0.008357996121048927,
-0.04133262857794762,
-0.022777171805500984,
0.06288348883390427,
-0.03333146870136261,
-0.02056579664349556,
-0.008825400844216347,
-0.028406130149960518,
-0.007955927401781082,
-0.022495724260807037,
-0.028727784752845764,
-0.02488803118467331,
0.03825680539011955,
0.018545402213931084,
0.027622096240520477,
-0.0430615209043026,
0.0024400523398071527,
0.015027305111289024,
-0.009423477575182915,
0.012182671576738358,
0.007473445497453213,
0.03359281271696091,
-0.038960423320531845,
0.05230909213423729,
-0.009403374046087265,
-0.02816488780081272,
0.02221427671611309,
-0.03843773528933525,
0.03861866518855095,
-0.05058019980788231,
0.01633402705192566,
-0.02233489789068699,
-0.0015931958332657814,
-0.01462523639202118,
0.04559455066919327,
0.023440584540367126,
-0.03156236559152603,
0.009775286540389061,
-0.02213386259973049,
0.02315913699567318,
-0.0010252742795273662,
0.009317934513092041,
0.03337167203426361,
-0.04466979578137398,
-0.025028755888342857,
-0.011519258841872215,
0.023661723360419273,
0.004224230535328388,
-0.03172319382429123,
-0.00031176002812571824,
0.05733494833111763,
-0.024606583639979362,
-0.027843233197927475,
0.006990963593125343,
0.009026434272527695,
0.021048279479146004,
-0.020384864881634712,
0.042337797582149506,
-0.0684722438454628,
0.0106347082182765,
0.024506065994501114,
-0.04089035093784332,
0.010011502541601658,
0.028506645932793617,
0.02488803118467331,
0.04551413655281067,
0.025330306962132454,
0.0026310349348932505,
-0.017630698159337044,
0.0050158025696873665,
0.03622635826468468,
-0.002786836354061961,
-0.013429082930088043,
-0.036346979439258575,
-0.04434813931584358,
0.023299861699342728,
0.008734934963285923,
-0.022917896509170532,
-0.004797178320586681,
0.00855903048068285,
-0.008262504823505878,
0.005191707517951727,
-0.012353550642728806,
0.010886000469326973,
0.020063210278749466,
-0.022576138377189636,
-0.005814913660287857,
-0.024284929037094116,
0.013368773274123669,
-0.005774706602096558,
0.01786188594996929,
0.036286670714616776,
0.011961533688008785,
-0.03246701881289482,
0.031160298734903336,
0.01120765507221222,
-0.015831442549824715,
-0.012725463137030602,
-0.027702510356903076,
0.012655101716518402,
0.0039829895831644535,
0.00403827428817749,
-0.01980186626315117,
0.034638188779354095,
0.008589185774326324,
-0.002305610803887248,
-0.046599723398685455,
-0.04189552366733551,
0.00983559712767601,
0.03077833354473114,
-0.07233209908008575,
0.015761079266667366,
0.032989710569381714,
-0.03797535598278046,
0.04201614484190941,
0.0074935490265488625,
-0.06706500053405762,
-0.01534895971417427,
-0.0680299699306488,
-0.00007715472020208836,
0.04796675592660904,
0.005003238096833229,
0.004847436677664518,
-0.02124931290745735,
-0.007860436104238033,
-0.0425790399312973,
-0.02317924052476883,
-0.01806292124092579,
-0.033070120960474014,
-0.0049303630366921425,
0.0004934761091135442,
-0.0012118591694161296,
0.010825690813362598,
0.020344659686088562,
0.02305862121284008,
-0.021852415055036545,
-0.027742717415094376,
0.015178080648183823,
-0.031200503930449486,
-0.023360172286629677,
-0.03853825107216835,
-0.036306772381067276,
0.016816509887576103,
-0.041372835636138916,
-0.02384265325963497,
-0.009262650273740292,
0.018173489719629288,
0.025068962946534157,
0.01808302477002144,
0.02486792765557766,
-0.009644614532589912,
-0.003947808872908354,
-0.008016237989068031,
0.0002632291289046407,
-0.04969564825296402,
-0.005608853418380022,
0.007096506655216217,
-0.008287633769214153,
0.03612584248185158,
0.04776572063565254,
0.05665143206715584,
0.015630407258868217,
-0.022696759551763535,
-0.022797275334596634,
0.007146765012294054,
-0.01969129778444767,
-0.041614074259996414,
0.02323955111205578,
0.04105117917060852,
0.05749577656388283,
0.01975160837173462,
0.001344416057690978,
0.0014248297084122896,
-0.015710821375250816,
-0.044187311083078384,
0.02746126800775528,
0.01782168075442314,
-0.0032341373153030872,
-0.0008832939201965928,
-0.029431404545903206,
0.05206785351037979,
0.003756826277822256,
0.003583434270694852,
0.022596241906285286,
0.045876000076532364,
0.007865462452173233,
-0.015549994073808193,
-0.0940035805106163,
-0.020073262974619865,
-0.028828300535678864,
0.012836032547056675,
-0.024325136095285416,
0.02132972702383995,
0.08306732028722763,
0.028727784752845764,
-0.0019475186709314585,
0.0029928963631391525,
0.01708790473639965,
0.0032768570818006992,
-0.02233489789068699,
0.02818499132990837,
0.03365312144160271,
0.03520108386874199,
-0.011046827770769596,
0.04085014387965202,
-0.019399797543883324,
0.0042393081821501255,
0.008031315170228481,
-0.03081854060292244,
-0.0342964306473732,
0.021731793880462646,
0.026074133813381195,
-0.039784662425518036,
0.00005964275624137372,
0.020344659686088562,
-0.0026963709387928247,
-0.04483062028884888,
0.0005588121712207794,
-0.027601992711424828,
-0.01885700598359108,
0.0012464119354262948,
-0.04728323966264725,
0.0015617843018844724,
-0.03164277970790863,
0.0128460843116045,
-0.032185573130846024,
0.029773162677884102,
-0.018324265256524086,
-0.043302763253450394,
-0.02563185803592205,
-0.014172909781336784,
-0.003980476874858141,
0.007825255393981934,
-0.023279758170247078,
0.016595371067523956,
-0.04382545128464699,
-0.05234929919242859,
-0.004917798563838005,
-0.03485932573676109,
-0.014705650508403778,
0.020827140659093857,
0.07028155028820038,
0.01022258773446083,
0.0010202485136687756,
0.0030883876606822014,
0.0169672854244709,
-0.0072724116034805775,
0.01408244390040636,
0.0030255643650889397,
-0.0006376552628353238,
-0.011378534138202667,
0.011368483304977417,
0.013620065525174141,
-0.009498865343630314,
0.004935388918966055,
0.023621516302227974,
-0.01364016905426979,
0.016756199300289154,
-0.01876654103398323,
-0.005920456722378731,
-0.01206205040216446,
-0.0009530276292935014,
-0.02143024280667305,
-0.019017834216356277,
0.01697733625769615,
-0.0426996611058712,
0.06063190847635269,
0.0016761224251240492,
0.008604262955486774,
0.009418451227247715,
-0.02219417318701744,
-0.012836032547056675,
-0.005488233175128698,
-0.00010805587226059288,
-0.028064372017979622,
-0.0171884223818779,
-0.02303851768374443,
0.007166868541389704,
0.00008096337114693597,
0.0021912725642323494,
-0.0006276035564951599,
0.02814478427171707,
-0.021671485155820847,
-0.015821389853954315,
-0.02641589194536209,
-0.017329147085547447,
0.0345175676047802,
0.010212535969913006,
-0.04708220437169075,
0.0077498676255345345,
-0.0343969464302063,
0.008433383889496326,
0.013499445281922817,
0.01634407788515091,
-0.011499155312776566,
0.0010390954557806253,
0.01022258773446083,
-0.011358431540429592,
0.01621340587735176,
-0.010167303495109081,
0.030396368354558945,
-0.021751897409558296,
-0.0006740927346982062,
0.0023860244546085596,
0.02912985347211361,
-0.016866767778992653,
0.016826560720801353,
-0.015519838780164719,
-0.026134442538022995,
-0.02295810356736183,
0.004646402318030596,
-0.014786063693463802,
0.024244721978902817,
0.027823129668831825,
-0.04362441599369049,
0.018404679372906685,
-0.021832311525940895,
-0.021852415055036545,
0.004988160450011492,
-0.0058701978996396065,
-0.03343198448419571,
-0.026335477828979492,
-0.025129271671175957,
0.036387186497449875,
-0.003744261572137475,
-0.029411301016807556,
-0.02233489789068699,
-0.032929398119449615,
-0.020012952387332916,
-0.00645822286605835,
-0.021128691732883453,
-0.0025682116392999887,
0.01611289009451866,
0.014273426495492458,
-0.028868507593870163,
0.023762239143252373,
-0.060471080243587494,
-0.004400135483592749,
0.03339177742600441,
-0.029592230916023254,
0.0049152858555316925,
-0.019480211660265923,
0.01113729365170002,
0.0016811483073979616
] |
N-ary facts composed of a primary triple (head entity, relation, tail entity)
and an arbitrary number of auxiliary attribute-value pairs, are prevalent in
real-world knowledge graphs (KGs). Link prediction on n-ary facts is to predict
a missing element in an n-ary fact. This helps populate and enrich KGs and
further promotes numerous downstream applications. Previous studies usually
require a substantial amount of high-quality data to understand the elements in
n-ary facts. However, these studies overlook few-shot relations, which have
limited labeled instances, yet are common in real-world scenarios. Thus, this
paper introduces a new task, few-shot link prediction on n-ary facts. It aims
to predict a missing entity in an n-ary fact with limited labeled instances. We
further propose a model for Few-shot Link prEdict on N-ary facts, thus called
FLEN, which consists of three modules: the relation learning, support-specific
adjusting, and query inference modules. FLEN captures relation meta information
from limited instances to predict a missing entity in a query instance. To
validate the effectiveness of FLEN, we construct three datasets based on
existing benchmark data. Our experimental results show that FLEN significantly
outperforms existing related models in both few-shot link prediction on n-ary
facts and binary facts. | [
-0.002517696935683489,
0.019553890451788902,
-0.028333552181720734,
-0.012893457897007465,
0.07401272654533386,
-0.031218552961945534,
0.011041359044611454,
0.012305772863328457,
-0.03246515616774559,
0.007435108534991741,
0.042242102324962616,
0.02810204029083252,
0.0016005518846213818,
-0.032750096172094345,
-0.008784113451838493,
0.04163660854101181,
0.022421082481741905,
-0.008116289041936398,
0.013685942627489567,
-0.03257200866937637,
-0.0011430922895669937,
-0.046480558812618256,
0.009732423350214958,
-0.017683982849121094,
0.06649747490882874,
0.011201636865735054,
0.06218778342008591,
-0.010783134028315544,
-0.07198254019021988,
0.050077904015779495,
0.05727259814739227,
-0.0027469831984490156,
0.026570497080683708,
-0.009661189280450344,
-0.06753037869930267,
-0.011468766257166862,
0.07971148937940598,
0.06621253490447998,
0.0034148073755204678,
0.06464537978172302,
-0.025644447654485703,
0.009643380530178547,
-0.07978272438049316,
-0.026071853935718536,
0.01846756413578987,
-0.036276206374168396,
-0.03515426069498062,
0.004808333702385426,
-0.07173321396112442,
-0.06357685476541519,
-0.002956234849989414,
0.012439337559044361,
-0.02334713190793991,
-0.007844707928597927,
-0.050647784024477005,
0.004875116050243378,
0.01878811977803707,
-0.0018710206495597959,
0.03857352212071419,
0.038715992122888565,
-0.05620408058166504,
-0.008632740005850792,
0.012555093504488468,
-0.023364940658211708,
-0.016036683693528175,
-0.05542049929499626,
0.013303056359291077,
0.008441297337412834,
0.0006077199359424412,
-0.04477092996239662,
-0.05620408058166504,
0.009874893352389336,
0.01116601936519146,
-0.034958366304636,
-0.028636299073696136,
0.06165352463722229,
0.014425001107156277,
0.0214950330555439,
0.032429538667201996,
0.005747739691287279,
0.021779971197247505,
0.06920439004898071,
-0.022242994979023933,
0.006157338619232178,
0.029241792857646942,
-0.03308846056461334,
-0.030203459784388542,
-0.043916113674640656,
0.044165436178445816,
0.016659986227750778,
0.040390003472566605,
-0.02316904626786709,
-0.04779839888215065,
-0.03385423123836517,
-0.01718534156680107,
0.024095095694065094,
0.013792794197797775,
0.015164059586822987,
-0.026249941438436508,
0.0018276120536029339,
-0.03449534252285957,
0.05495747551321983,
-0.028689725324511528,
-0.0011013533221557736,
0.040318768471479416,
-0.05787809193134308,
-0.04341747239232063,
0.02008814923465252,
-0.030951421707868576,
0.07436889410018921,
-0.02381015568971634,
0.007248118054121733,
-0.04829704016447067,
0.033587101846933365,
0.04897376894950867,
0.005787809379398823,
-0.03700636327266693,
-0.0500422902405262,
0.04345308989286423,
0.012581806629896164,
0.03200213238596916,
0.044628459960222244,
0.019393613561987877,
-0.032376114279031754,
-0.033836424350738525,
0.0044499346986413,
0.007003249134868383,
-0.014184584841132164,
-0.020105957984924316,
-0.021655309945344925,
0.019322378560900688,
-0.019678551703691483,
0.018966205418109894,
-0.02733626775443554,
0.03857352212071419,
0.03445972502231598,
-0.0012621876085177064,
-0.030506206676363945,
-0.03374737873673439,
-0.010961220599710941,
-0.023382749408483505,
-0.03832419961690903,
-0.015511328354477882,
0.010293396189808846,
-0.0038778320886194706,
-0.0227772556245327,
-0.002281732391566038,
0.02990071289241314,
0.019874446094036102,
0.01661546528339386,
-0.0205333661288023,
0.05933840200304985,
0.008120741695165634,
-0.023008767515420914,
-0.03661457076668739,
-0.0500422902405262,
0.029045898467302322,
-0.008129646070301533,
0.03355148434638977,
-0.018752502277493477,
0.0782867968082428,
0.006175147369503975,
0.032945990562438965,
0.023364940658211708,
0.01658875122666359,
0.011281775310635567,
0.043275002390146255,
-0.01004407461732626,
-0.04537642374634743,
0.057379450649023056,
0.007305996026843786,
-0.020284045487642288,
-0.03305284306406975,
0.009652284905314445,
0.005053202621638775,
-0.0037353630177676678,
0.055919140577316284,
0.05727259814739227,
0.009447485208511353,
-0.027870526537299156,
0.012421528808772564,
0.032055556774139404,
-0.01584969274699688,
0.021922441199421883,
0.01774631254374981,
0.026160897687077522,
0.058732908219099045,
0.001968968193978071,
0.025127995759248734,
-0.0016951602883636951,
-0.0006155112641863525,
0.001407995936460793,
0.05171630159020424,
0.014701034873723984,
-0.019999107345938683,
-0.00694537116214633,
-0.017612747848033905,
0.04701481759548187,
0.01609901338815689,
-0.024362225085496902,
-0.035902224481105804,
-0.06428920477628708,
-0.0013022570637986064,
-0.014879121445119381,
-0.0017663948237895966,
-0.023507408797740936,
0.04897376894950867,
-0.00202462007291615,
0.01976759359240532,
-0.030060989782214165,
-0.013792794197797775,
-0.022474508732557297,
-0.03372957184910774,
-0.018200432881712914,
-0.005351497326046228,
0.020284045487642288,
0.02218957059085369,
0.028903428465127945,
-0.005511775147169828,
-0.018877161666750908,
0.004786072764545679,
-0.011584523133933544,
0.03408574312925339,
-0.03330216184258461,
0.0008687279187142849,
0.022866297513246536,
-0.016348334029316902,
0.041707843542099,
0.02527046576142311,
0.006571389269083738,
0.03700636327266693,
0.0010802055476233363,
0.00508436793461442,
-0.011602330952882767,
-0.02822669968008995,
-0.00234183669090271,
-0.003368059638887644,
-0.09338852763175964,
0.0006143982172943652,
0.03606250509619713,
0.020836113020777702,
0.028903428465127945,
-0.0042117442935705185,
-0.017933303490281105,
0.06941809505224228,
-0.03625839948654175,
-0.044628459960222244,
-0.00500422902405262,
0.0173278097063303,
0.049757350236177444,
0.0032100079115480185,
-0.03456657752394676,
0.031022656708955765,
0.009376251138746738,
-0.04633809253573418,
0.020195001736283302,
0.029206175357103348,
-0.012474955059587955,
-0.0017151950160041451,
-0.015538041479885578,
0.046231240034103394,
0.008272115141153336,
0.02913494035601616,
0.012679753825068474,
-0.0221361443400383,
-0.008476913906633854,
0.02226080372929573,
-0.04851074516773224,
0.07244556397199631,
-0.010159831494092941,
0.025626638904213905,
-0.049935437738895416,
-0.00427184859290719,
0.018556606024503708,
-0.035243306308984756,
-0.05705889314413071,
0.03581318259239197,
-0.04804772138595581,
0.07436889410018921,
0.004674769006669521,
0.0021637501195073128,
-0.004777168855071068,
-0.04630247503519058,
-0.009963936172425747,
-0.020640218630433083,
-0.0007924846140667796,
-0.024593736976385117,
-0.030203459784388542,
-0.021156668663024902,
-0.002876095939427614,
-0.047442227602005005,
-0.011130401864647865,
-0.04961488023400307,
-0.0057388353161513805,
0.00198455061763525,
0.06425358355045319,
-0.042242102324962616,
0.04281197860836983,
0.051217660307884216,
-0.019357996061444283,
-0.057201363146305084,
-0.022545743733644485,
0.04448598995804787,
-0.020230619236826897,
-0.05727259814739227,
-0.027621205896139145,
-0.0243800338357687,
0.09410087019205093,
-0.046480558812618256,
-0.026000618934631348,
0.007479630410671234,
0.012270155362784863,
-0.004599082283675671,
-0.02220737934112549,
-0.0050175851210951805,
0.010569429956376553,
0.009634476155042648,
-0.022242994979023933,
0.0004246248572599143,
-0.08177728950977325,
0.0022906367667019367,
0.007092292420566082,
-0.11304926872253418,
-0.007003249134868383,
-0.002802635310217738,
0.03155691549181938,
0.005360401701182127,
-0.005489514209330082,
-0.013614707626402378,
-0.0468367338180542,
-0.02977605164051056,
-0.01052490808069706,
-0.050790250301361084,
0.0378611758351326,
-0.06970302760601044,
-0.00502203730866313,
-0.04405858367681503,
-0.003929032012820244,
-0.013543473556637764,
-0.019731977954506874,
-0.02238546498119831,
-0.014594183303415775,
0.0026200967840850353,
-0.005859043914824724,
0.039748892188072205,
0.03381861373782158,
-0.0044543868862092495,
0.037362534552812576,
0.013721560128033161,
0.04843951016664505,
0.0008525887969881296,
0.04291883111000061,
-0.0037821107544004917,
-0.0012855614768341184,
0.02726503275334835,
-0.027923952788114548,
-0.02598281018435955,
-0.0025800273288041353,
-0.026570497080683708,
0.06749475747346878,
-0.06275766342878342,
-0.022688211873173714,
-0.01132629718631506,
0.07351408153772354,
-0.10806284844875336,
-0.007568673696368933,
0.0010479274205863476,
0.024023860692977905,
-0.04035438597202301,
-0.030239077284932137,
-0.047121670097112656,
0.10400247573852539,
0.015769554302096367,
-0.022100526839494705,
-0.011575618758797646,
0.0017508122837170959,
0.004514491185545921,
0.04762031137943268,
0.017310000956058502,
0.024469075724482536,
0.023649878799915314,
0.005872400011867285,
0.039926979690790176,
-0.004503360949456692,
0.01238591130822897,
0.025519786402583122,
0.020479939877986908,
0.009839275851845741,
-0.08348692208528519,
0.0009733536862768233,
0.05445883050560951,
-0.025608830153942108,
-0.06824272125959396,
-0.036151546984910965,
0.05933840200304985,
-0.00590356532484293,
-0.014505140483379364,
0.005997060798108578,
0.05431636422872543,
0.04099549725651741,
-0.016918212175369263,
-0.0208539217710495,
0.005355949513614178,
0.0022160629741847515,
0.05470815300941467,
-0.020889539271593094,
0.03665018826723099,
0.0036774848122149706,
0.017212053760886192,
0.007167979143559933,
-0.03504741191864014,
0.05798494443297386,
0.020996389910578728,
-0.017835356295108795,
0.042491424828767776,
0.0333733968436718,
-0.06614129990339279,
-0.027959570288658142,
-0.05139574408531189,
0.002278393367305398,
-0.005044298246502876,
0.031717196106910706,
0.04238457232713699,
-0.011255063116550446,
0.0058634961023926735,
0.016820263117551804,
-0.005364853888750076,
-0.010872176848351955,
-0.044165436178445816,
-0.03168157860636711,
-0.004120475146919489,
-0.035635095089673996,
0.07166197896003723,
-0.013783889822661877,
0.024611545726656914,
-0.005970347672700882,
0.06439605355262756,
0.035243306308984756,
-0.04380926489830017,
0.013285248540341854,
0.012394815683364868,
0.005284714978188276,
-0.026338983327150345,
0.029687009751796722,
0.015555850230157375,
-0.014745556749403477,
-0.017986729741096497,
-0.0022338717244565487,
0.01905524916946888,
-0.03729129955172539,
-0.054886240512132645,
0.035884417593479156,
-0.0686701312661171,
-0.008730687201023102,
0.049365561455488205,
0.017318906262516975,
0.035884417593479156,
-0.040959879755973816,
0.03811049833893776,
-0.017728503793478012,
-0.06304259598255157,
0.0629001259803772,
0.029277410358190536,
-0.04420105367898941,
-0.0224566999822855,
0.010355725884437561,
-0.0006188503466546535,
-0.0035773112904280424,
-0.0025711229536682367,
0.053283460438251495,
0.028066422790288925,
-0.006054938770830631,
-0.01750589720904827,
-0.04331061989068985,
-0.004240683279931545,
0.021459415555000305,
-0.011691374704241753,
-0.09310358762741089,
0.021797779947519302,
-0.008316637016832829,
-0.010774229653179646,
0.019874446094036102,
0.07109210640192032,
0.0391433984041214,
0.033515866845846176,
-0.02861849032342434,
-0.01917990855872631,
-0.037184447050094604,
0.03248296678066254,
-0.04291883111000061,
0.009028982371091843,
-0.038787227123975754,
-0.059765808284282684,
-0.00744401291012764,
0.014736652374267578,
-0.014745556749403477,
-0.023917008191347122,
0.004754907917231321,
0.04266950860619545,
-0.003768754191696644,
0.04701481759548187,
-0.02233203873038292,
0.012902362272143364,
0.0006611458957195282,
-0.010560525581240654,
0.020373087376356125,
0.018574414774775505,
0.0253417007625103,
-0.016259292140603065,
-0.03796802833676338,
-0.019731977954506874,
-0.012181112542748451,
0.00808512419462204,
-0.036098118871450424,
-0.01036463025957346,
0.019073057919740677,
0.005680957343429327,
0.00007951281440909952,
0.006250834092497826,
0.020640218630433083,
-0.016659986227750778,
0.024967718869447708,
-0.012617424130439758,
0.0020012464374303818,
-0.021637501195073128,
0.005226837005466223,
0.017692888155579567,
0.008699522353708744,
0.01760384440422058,
-0.04067494347691536,
0.00854369718581438,
0.0040870835073292255,
-0.026036236435174942,
0.004336404614150524,
-0.035439200699329376,
-0.016508612781763077,
0.05146697908639908,
0.05175191909074783,
-0.05061216652393341,
-0.0538889542222023,
-0.019411422312259674,
-0.0000974605864030309,
0.03362271934747696,
0.013133875094354153,
-0.03568852320313454,
0.018155911937355995,
0.03632963448762894,
-0.037113212049007416,
0.0000361738057108596,
0.021441606804728508,
0.027888335287570953,
-0.01878811977803707,
0.00870397500693798,
0.018013443797826767,
-0.004639151506125927,
-0.04477092996239662,
0.013721560128033161,
-0.06432481855154037,
0.026926668360829353,
0.02334713190793991,
0.040710560977458954,
-0.0336761437356472,
0.007813542149960995,
-0.03291037306189537,
0.0013968654675409198,
0.002842704765498638,
0.04640932381153107,
0.017310000956058502,
0.015075016766786575,
-0.005200123880058527,
-0.003826632397249341,
-0.0013913002330809832,
-0.01580517180263996,
-0.013472238555550575,
0.0018910553772002459,
0.048154573887586594,
0.03187747299671173,
-0.021245712414383888,
0.011433148756623268,
0.03739815205335617,
0.0211744774132967,
-0.03932148590683937,
-0.005649792030453682,
-0.006967631634324789,
-0.005725478753447533,
0.008111837320029736,
-0.012697562575340271,
-0.030826762318611145,
0.018966205418109894,
-0.02270602062344551,
-0.022225188091397285,
0.09118025749921799,
-0.02494991011917591,
0.0069097536616027355,
-0.0073594218119978905,
0.06211654841899872,
0.002251680474728346,
-0.036472100764513016,
0.03616935387253761,
-0.05228617787361145,
-0.012911266647279263,
-0.0166866984218359,
0.00704331835731864,
0.017069585621356964,
0.03793241083621979,
-0.03244734928011894,
-0.00022149500728119165,
0.03704197704792023,
-0.013445526361465454,
0.024344416335225105,
0.0545300655066967,
-0.013044831342995167,
-0.01784426160156727,
-0.07629223167896271,
-0.008864251896739006,
-0.015840789303183556,
0.05460130050778389,
-0.012955788522958755,
-0.033462442457675934,
0.001052379491738975,
0.03957080468535423,
0.01520858146250248,
0.07287296652793884,
0.01462980080395937,
-0.011023550294339657,
0.02783491089940071,
0.005364853888750076,
-0.0022305327001959085,
-0.04534080624580383,
-0.02169092744588852,
-0.04534080624580383,
0.018503181636333466,
-0.021405989304184914,
-0.020497748628258705,
-0.017479183152318,
-0.019803211092948914,
0.019589507952332497,
0.040959879755973816,
0.018770311027765274,
-0.03362271934747696,
0.004625795409083366,
-0.017817547544836998,
-0.0050131333991885185,
0.03098703920841217,
-0.0017163080628961325,
-0.010418056510388851,
0.00086038006702438,
0.0021626371890306473,
0.028369169682264328,
0.008013889193534851,
0.003911223262548447,
0.022812873125076294,
0.02316904626786709,
0.035296730697155,
0.012537284754216671,
-0.02046213112771511,
0.013338673859834671,
0.013071544468402863,
0.012946884147822857,
0.019714169204235077,
0.01511063426733017,
0.0013946393737569451,
0.00880192220211029,
-0.04640932381153107,
0.028903428465127945,
-0.0372200645506382,
-0.021601885557174683,
0.004915185738354921,
0.05762876942753792,
0.006482346449047327,
0.03453096002340317,
-0.0208539217710495,
-0.020889539271593094,
0.06966741383075714,
-0.012955788522958755,
-0.0024397841189056635,
-0.004472195636481047,
0.024789631366729736,
0.005716574378311634,
-0.03054182417690754,
-0.07543741166591644,
-0.03689951077103615,
-0.012635232880711555,
-0.029277410358190536,
0.0007613195339217782,
-0.013178396038711071,
-0.02489648386836052,
-0.008864251896739006,
-0.006406659726053476,
-0.04081740975379944,
-0.015983257442712784,
-0.036863893270492554,
-0.018031252548098564,
-0.006121721118688583,
0.036347441375255585,
-0.0198922548443079,
0.008686166256666183,
0.03843105211853981,
-0.0014825696125626564,
0.01789768598973751,
-0.006241929717361927,
0.027354076504707336,
-0.04861759766936302,
-0.03276790305972099,
0.036543335765600204,
-0.020800495520234108,
-0.009189260192215443,
-0.0043697957880795,
-0.009028982371091843,
-0.003913449589163065,
0.0027714702300727367,
-0.01206535566598177,
0.015814075246453285,
-0.019322378560900688,
0.0221361443400383,
0.014300340786576271,
-0.004946350585669279,
0.03835981711745262,
0.009981744922697544,
-0.027923952788114548,
-0.008864251896739006,
0.0513245090842247,
-0.0002845209091901779,
-0.001444726251065731,
-0.06389741599559784,
-0.010542716830968857,
0.019393613561987877,
-0.014238010160624981,
0.014745556749403477,
0.009198164567351341,
0.03226926177740097,
0.02425537258386612,
-0.0009444146417081356,
-0.017025062814354897,
-0.0782867968082428,
0.0018676815088838339,
-0.027959570288658142,
-0.003978005610406399,
-0.01994568109512329,
-0.038074880838394165,
0.018574414774775505,
0.015262007713317871,
-0.024664971977472305,
-0.05851920321583748,
-0.0028471569530665874,
0.05830549821257591,
0.022474508732557297,
-0.017265480011701584,
0.012884553521871567,
0.004848403390496969,
0.029010280966758728,
-0.0442722886800766,
0.023311514407396317,
-0.0343172550201416,
-0.014594183303415775,
-0.0030074347741901875,
0.01222563348710537,
-0.010302300564944744,
0.029971947893500328,
-0.004634699318557978,
-0.013196204788982868,
0.036863893270492554,
-0.025608830153942108,
-0.013801698572933674,
0.0866212397813797,
0.009438580833375454,
-0.01710520312190056,
-0.05114642530679703,
-0.001844307640567422,
-0.020319662988185883,
0.025110187008976936,
0.020515557378530502,
-0.004870663862675428,
-0.04010506719350815,
0.024397842586040497,
0.021156668663024902,
-0.013587995432317257,
0.025519786402583122,
-0.02188682369887829,
-0.0085793137550354,
0.014157871715724468,
0.020925156772136688,
0.013160587288439274,
-0.02258135937154293,
-0.03811049833893776,
0.001087440294213593,
0.010409152135252953,
0.004496682435274124,
0.0018854901427403092,
0.00011102576536359265,
0.003673032857477665,
-0.0037598498165607452,
-0.0378611758351326,
0.03118293546140194,
0.07543741166591644,
-0.024593736976385117,
-0.008971104398369789,
-0.04729975759983063,
-0.05770000442862511,
-0.030078798532485962,
0.050398461520671844,
-0.004512264858931303,
0.00009273016621591523,
0.023596452549099922,
-0.05559858679771423,
0.01366813387721777,
0.0378611758351326,
0.029045898467302322,
-0.04010506719350815,
0.019999107345938683,
0.004127153195440769,
0.01090779434889555,
0.03280352056026459,
-0.024967718869447708,
0.02617870643734932,
-0.00768442964181304,
-0.049757350236177444,
0.019731977954506874,
0.004296335391700268,
-0.02995413914322853,
0.01228796411305666,
0.0032945990096777678,
0.006540224421769381,
0.01122834999114275,
-0.07771692425012589,
-0.039748892188072205,
-0.006326520815491676,
0.005881304387003183,
0.016704507172107697,
-0.04373802989721298,
0.006727214902639389,
0.01251057256013155,
0.0005590244545601308,
0.01334757823497057,
-0.03636525198817253,
0.0025844795163720846,
-0.005106628406792879,
0.010462578386068344,
-0.03419259563088417,
0.04534080624580383,
-0.007479630410671234,
-0.013445526361465454,
-0.02931302785873413,
-0.025875959545373917,
-0.047370992600917816,
0.026962285861372948,
0.0071190050803124905,
0.02881438471376896,
0.004222874529659748,
0.06642623990774155,
0.0029718175064772367,
0.035296730697155,
0.030524015426635742,
-0.021405989304184914,
-0.024166328832507133,
-0.019660742953419685,
0.013881837949156761,
0.04605315253138542,
-0.029865095391869545,
0.010979028418660164,
0.0016339430585503578,
0.00038177278474904597,
-0.007172431331127882,
-0.008472462184727192,
-0.02714037336409092,
-0.009705711156129837,
0.0032233644742518663,
-0.07778815180063248,
-0.07109210640192032,
0.022990958765149117,
-0.0017396819312125444,
-0.028760960325598717,
-0.007978272624313831,
0.03385423123836517,
0.020693643018603325,
-0.00978584960103035,
-0.009233782067894936,
0.0323939211666584,
0.021138859912753105,
-0.01912648417055607,
0.013543473556637764,
-0.003479363862425089,
0.02489648386836052,
-0.035830989480018616,
0.023240279406309128,
-0.014131158590316772,
0.010569429956376553,
-0.05257111415266991,
-0.01681135967373848,
-0.07365655153989792,
0.0008665018249303102,
-0.008387871086597443,
-0.04548327624797821,
-0.009033434092998505,
0.05556296929717064,
-0.030043181031942368,
-0.03485151380300522,
-0.007831350900232792,
-0.009696806780993938,
0.012341390363872051,
0.015128443017601967,
0.0009599971817806363,
0.018966205418109894,
-0.03253639116883278,
0.017496991902589798,
-0.024219755083322525,
-0.015181868337094784,
-0.010783134028315544,
-0.033658336848020554,
-0.0007986063719727099,
-0.0022038195747882128,
-0.005890208762139082,
-0.00012076486746082082,
-0.06567827612161636,
0.02270602062344551,
0.03650771826505661,
-0.03533234819769859,
-0.018084676936268806,
-0.005489514209330082,
-0.05189438909292221,
0.058661673218011856,
0.03374737873673439,
-0.01004407461732626,
0.028885619714856148,
-0.04174346104264259,
0.010213256813585758,
0.039285868406295776,
-0.007991628721356392,
-0.022403273731470108,
-0.016027778387069702,
-0.03921463340520859,
0.011816035024821758,
0.03433506563305855,
0.01398868951946497,
-0.012394815683364868,
0.020640218630433083,
-0.01575174555182457,
-0.0033413467463105917,
-0.03577756509184837,
0.018396329134702682,
-0.0059436350129544735,
0.0005003116093575954,
-0.005832330789417028,
0.017025062814354897,
0.02122790366411209,
-0.05089710280299187,
0.04605315253138542,
0.03219802677631378,
0.0026913313195109367,
0.03257200866937637,
0.005600818432867527,
-0.010195448063313961,
0.015164059586822987,
-0.01629490964114666,
0.02297315001487732,
-0.007657716982066631,
-0.02329370565712452,
-0.030719909816980362,
-0.017461374402046204,
0.000995614449493587,
0.018627841025590897,
0.025181422010064125,
0.004265170078724623,
-0.016499707475304604,
-0.023774540051817894,
0.04729975759983063,
0.03132540360093117,
-0.052072472870349884,
-0.08156358450651169,
-0.0237389225512743,
-0.004710386041551828,
0.006339876912534237,
0.051288895308971405,
0.029277410358190536,
0.007270378526300192,
-0.0014146741013973951,
-0.019536081701517105,
-0.015912022441625595,
-0.0005055984947830439,
0.009865988977253437,
0.00035839894553646445,
0.018894970417022705,
0.020123766735196114,
0.049365561455488205,
-0.018396329134702682,
-0.03704197704792023,
0.0025488620158284903,
0.0010635099606588483,
-0.011130401864647865,
-0.0010685186134651303,
0.016205865889787674,
0.0019088640110567212,
0.022082718089222908,
-0.02072926051914692,
-0.06560704112052917,
0.018325094133615494,
-0.029045898467302322,
-0.0218155886977911,
0.044877782464027405,
0.016232578083872795,
-0.007243665866553783,
-0.020230619236826897,
-0.04131605476140976,
0.005066559184342623,
-0.003768754191696644,
-0.012234537862241268,
0.013632516376674175,
-0.0022661499679088593,
-0.008214237168431282,
0.0789279118180275,
-0.01488802582025528,
-0.013472238555550575,
-0.016526421532034874,
-0.044806547462940216,
-0.002718044212087989,
-0.040781792253255844,
-0.023240279406309128,
-0.0195716992020607,
-0.012341390363872051,
-0.027051329612731934,
0.012100973166525364,
-0.058020561933517456,
-0.021263521164655685,
-0.05428074672818184
] |
Traditional drug discovery programs are being transformed by the advent of
machine learning methods. Among these, Generative AI methods (GM) have gained
attention due to their ability to design new molecules and enhance specific
properties of existing ones. However, current GM methods have limitations, such
as low affinity towards the target, unknown ADME/PK properties, or the lack of
synthetic tractability. To improve the applicability domain of GM methods, we
have developed a workflow based on a variational autoencoder coupled with
active learning steps. The designed GM workflow iteratively learns from
molecular metrics, including drug likeliness, synthesizability, similarity, and
docking scores. In addition, we also included a hierarchical set of criteria
based on advanced molecular modeling simulations during a final selection step.
We tested our GM workflow on two model systems, CDK2 and KRAS. In both cases,
our model generated chemically viable molecules with a high predicted affinity
toward the targets. Particularly, the proportion of high-affinity molecules
inferred by our GM workflow was significantly greater than that in the training
data. Notably, we also uncovered novel scaffolds significantly dissimilar to
those known for each target. These results highlight the potential of our GM
workflow to explore novel chemical space for specific targets, thereby opening
up new possibilities for drug discovery endeavors. | [
-0.01152273453772068,
-0.016175417229533195,
-0.03204760327935219,
-0.04874419793486595,
-0.021946260705590248,
0.045522380620241165,
-0.01362639106810093,
0.02355716936290264,
-0.029830235987901688,
0.03623596578836441,
-0.004529495723545551,
-0.02518702857196331,
0.011153172701597214,
-0.0529136098921299,
-0.03634967654943466,
0.014592936262488365,
-0.02886369079351425,
-0.008812617510557175,
-0.024125725030899048,
-0.03735412657260895,
-0.04438526928424835,
-0.0373920314013958,
-0.015199395827949047,
0.030588310211896896,
0.05590800195932388,
-0.0003215894685126841,
0.0022007853258401155,
-0.01806112751364708,
-0.05579429119825363,
0.06511861085891724,
0.008419366553425789,
0.0030322985257953405,
0.011390071362257004,
-0.007220660801976919,
-0.026475755497813225,
-0.015275203622877598,
-0.0047640250995755196,
0.027025360614061356,
0.015180444344878197,
0.01865811087191105,
0.06534603238105774,
-0.004060436971485615,
0.012110241688787937,
0.010821515694260597,
0.005865602288395166,
0.008376725018024445,
-0.015436294488608837,
-0.02166198194026947,
-0.00638677878305316,
0.017359908670186996,
-0.014431845396757126,
0.0265326127409935,
0.027669724076986313,
-0.012403995729982853,
-0.011456402949988842,
0.005339688155800104,
0.019387759268283844,
0.05113213509321213,
0.018383309245109558,
0.012801985256373882,
0.004131506662815809,
-0.010025536641478539,
-0.040177956223487854,
-0.011949150823056698,
-0.0022860688623040915,
-0.07474615424871445,
-0.0038590736221522093,
-0.012726177461445332,
0.015265727415680885,
0.037410981953144073,
-0.03382908180356026,
-0.06587668508291245,
-0.031194770708680153,
0.004797190893441439,
-0.0037264106795191765,
-0.018743395805358887,
0.01976679638028145,
0.0659903958439827,
-0.02332974597811699,
0.002845148788765073,
0.07099369168281555,
0.01627965271472931,
0.01786213368177414,
0.03149800002574921,
0.047152239829301834,
-0.007353323977440596,
0.022950708866119385,
-0.06417101621627808,
-0.024978559464216232,
-0.06549764424562454,
-0.012745129875838757,
0.06379198282957077,
-0.041959431022405624,
0.017833705991506577,
0.003496619174256921,
0.02296966128051281,
0.027385445311665535,
0.03219921886920929,
-0.027423350140452385,
-0.0056192283518612385,
0.0005789202405139804,
-0.0800526812672615,
0.050828903913497925,
0.05556686967611313,
-0.007334372028708458,
-0.03339318558573723,
-0.022514816373586655,
0.0003651195438578725,
0.033563755452632904,
0.1335727423429489,
-0.02332974597811699,
-0.026760034263134003,
0.03616015985608101,
0.019302474334836006,
-0.04358929023146629,
-0.007822382263839245,
-0.106130450963974,
-0.026437852531671524,
-0.018857106566429138,
-0.06310971081256866,
0.03206655755639076,
0.017132487148046494,
-0.034833528101444244,
-0.054429758340120316,
-0.014071759767830372,
0.0617072731256485,
-0.029356440529227257,
-0.032616160809993744,
0.02482694387435913,
0.05041196197271347,
-0.06094919890165329,
0.04044328257441521,
0.027120118960738182,
0.04086022078990936,
0.0445747897028923,
0.03246454522013664,
0.01330420933663845,
0.009006873704493046,
-0.02111237868666649,
-0.025831392034888268,
-0.026229381561279297,
-0.06921221315860748,
-0.03255930542945862,
-0.05041196197271347,
0.04139087349176407,
0.003477667225524783,
-0.029337488114833832,
0.09127218276262283,
-0.023500313982367516,
0.011361643671989441,
-0.04935065656900406,
0.011399547569453716,
0.01084994338452816,
-0.015834283083677292,
0.006495751906186342,
0.03384803235530853,
-0.026741081848740578,
-0.02304546907544136,
0.03343109041452408,
0.02533864416182041,
0.06500490009784698,
-0.017085107043385506,
0.0017364646773785353,
0.05272408947348595,
0.04086022078990936,
0.054240237921476364,
-0.0006947043002583086,
0.03147904947400093,
-0.07372275739908218,
0.06364036351442337,
0.02784029021859169,
-0.017009299248456955,
0.0026508921291679144,
0.02685479447245598,
-0.019425662234425545,
0.042073141783475876,
0.03056935966014862,
0.007846072316169739,
-0.009433290921151638,
-0.01330420933663845,
-0.058826591819524765,
0.0354020856320858,
0.018440164625644684,
0.0399126298725605,
0.06974286586046219,
0.039344072341918945,
0.06655894964933395,
-0.010158199816942215,
0.021832549944519997,
0.03358270600438118,
0.007945569232106209,
-0.022306345403194427,
0.03523151949048042,
-0.017757898196578026,
0.015767952427268028,
0.026039863005280495,
-0.04681110754609108,
-0.013455824926495552,
-0.013872765935957432,
-0.03350690007209778,
-0.006235163658857346,
-0.052648283541202545,
0.00281672109849751,
0.04161829501390457,
0.062313735485076904,
0.01010134443640709,
-0.0038898703642189503,
0.020600678399205208,
-0.015246775932610035,
-0.015095161274075508,
-0.004451319575309753,
-0.011200552806258202,
-0.05723463371396065,
-0.07611069083213806,
0.05549106374382973,
-0.017284100875258446,
-0.003975153900682926,
0.0014877214562147856,
-0.04874419793486595,
-0.015502626076340675,
-0.059584666043519974,
0.004384987987577915,
0.07031141966581345,
-0.04150458425283432,
0.059546761214733124,
-0.04764499142765999,
0.005420233588665724,
-0.0132852578535676,
0.004941699095070362,
0.024485809728503227,
-0.007699195295572281,
0.08755762130022049,
0.03187703713774681,
-0.007775003090500832,
0.003363956231623888,
-0.03949568793177605,
0.0022007853258401155,
0.002676951000466943,
-0.03161171078681946,
-0.00926746241748333,
-0.03274882212281227,
0.0010707804467529058,
-0.051738593727350235,
-0.03424602001905441,
0.09362221509218216,
0.013711675070226192,
-0.0028333039954304695,
0.10089973360300064,
0.06549764424562454,
0.05359587445855141,
-0.004752180073410273,
-0.00012970183161087334,
-0.023310795426368713,
0.013228402473032475,
-0.04866839200258255,
-0.0017708149971440434,
0.03602749481797218,
-0.03193389251828194,
0.005240190774202347,
-0.05378539487719536,
0.024372098967432976,
-0.026627371087670326,
0.01344634871929884,
0.06439843773841858,
-0.02228739485144615,
-0.02169988676905632,
0.06921221315860748,
0.019056100398302078,
0.012811461463570595,
0.04521915316581726,
-0.041011836379766464,
-0.06890898197889328,
-0.024845896288752556,
-0.0001763411855790764,
-0.004569768439978361,
-0.05469508469104767,
-0.007576008327305317,
0.03128952905535698,
0.07641392201185226,
0.00518807303160429,
0.024410003796219826,
-0.024561617523431778,
0.04067070409655571,
0.02372773550450802,
-0.04336186870932579,
-0.046356264501810074,
-0.051624882966279984,
-0.02645680494606495,
-0.07520100474357605,
0.02304546907544136,
-0.0039443569257855415,
0.026191478595137596,
-0.022192634642124176,
-0.007429131306707859,
0.01880972646176815,
0.011655397713184357,
-0.018326453864574432,
-0.012157621793448925,
0.018819201737642288,
-0.03197179734706879,
-0.03384803235530853,
0.00292095635086298,
0.029811285436153412,
0.03263511136174202,
0.05147326737642288,
0.0005644102348014712,
0.018866581842303276,
0.07099369168281555,
-0.020581725984811783,
-0.021927308291196823,
0.054353948682546616,
0.028295135125517845,
0.0265326127409935,
0.011693300679326057,
0.014517129398882389,
0.0035819027107208967,
0.06447424739599228,
-0.0705009400844574,
-0.04658368602395058,
0.006495751906186342,
-0.03373432159423828,
-0.02831408753991127,
-0.08058333396911621,
0.006993238348513842,
-0.016327032819390297,
0.020335352048277855,
-0.007770264986902475,
0.029204824939370155,
-0.06246534734964371,
0.031156867742538452,
0.012972552329301834,
-0.037676308304071426,
-0.017672615125775337,
0.0019070315174758434,
-0.03786582872271538,
-0.03477667272090912,
-0.009665451012551785,
0.019690988585352898,
0.013711675070226192,
-0.028143519535660744,
-0.014725599437952042,
0.027499156072735786,
-0.038358576595783234,
-0.010603568516671658,
-0.01411913987249136,
-0.03972310945391655,
-0.028219327330589294,
0.0705767497420311,
0.023310795426368713,
-0.053406357765197754,
0.001093285740353167,
-0.022552719339728355,
-0.04529495909810066,
-0.0011483646230772138,
0.016184892505407333,
-0.0016902695642784238,
0.01346530020236969,
-0.02831408753991127,
-0.012129194103181362,
0.03430287539958954,
0.03144114464521408,
-0.08998345583677292,
-0.018468592315912247,
0.03017137013375759,
-0.04169410467147827,
0.04313444718718529,
-0.02181359753012657,
-0.0006236348417587578,
-0.009295890107750893,
0.013067311607301235,
0.027859242632985115,
0.015351011417806149,
0.02973547764122486,
0.013844338245689869,
0.00048386483103968203,
-0.01798531971871853,
0.010698327794671059,
-0.0004089457215741277,
-0.029470151290297508,
0.05223134160041809,
0.005581324454396963,
0.039268266409635544,
-0.026835842058062553,
0.0032289240043610334,
0.0077797407284379005,
0.03045564889907837,
0.003925404977053404,
-0.014592936262488365,
0.03197179734706879,
0.008272489532828331,
-0.02312127687036991,
-0.018089555203914642,
0.014678220264613628,
-0.014990925788879395,
0.038282766938209534,
-0.042982831597328186,
0.08414628356695175,
-0.018316978588700294,
0.01715143769979477,
-0.00901161227375269,
-0.012328188866376877,
0.002468480495736003,
-0.04844096675515175,
0.047341760247945786,
-0.03820696100592613,
0.016800828278064728,
-0.05496041104197502,
-0.03786582872271538,
0.016980871558189392,
-0.024296291172504425,
-0.0026864269748330116,
-0.053444262593984604,
-0.009272200055420399,
-0.017397813498973846,
0.03682347387075424,
0.010783611796796322,
-0.009329055435955524,
-0.006997976452112198,
0.023632977157831192,
-0.022874901071190834,
0.026399949565529823,
0.03161171078681946,
0.026115670800209045,
-0.00697902450338006,
-0.011437450535595417,
0.015161492861807346,
0.03809325024485588,
0.003013346577063203,
-0.03695613890886307,
-0.02950805425643921,
0.02573663368821144,
0.016014326363801956,
-0.018553877249360085,
-0.057120922952890396,
-0.052496667951345444,
-0.012650370597839355,
0.011001558043062687,
0.0093669593334198,
-0.01162696909159422,
0.0018845261074602604,
0.017568379640579224,
0.017359908670186996,
-0.05545315891504288,
0.017037726938724518,
-0.044536884874105453,
0.00020743408822454512,
-0.04165619984269142,
-0.043816711753606796,
-0.026949552819132805,
-0.047341760247945786,
-0.04798612371087074,
0.040102146565914154,
-0.04798612371087074,
-0.04226265847682953,
0.026039863005280495,
0.011409022845327854,
0.028844740241765976,
0.03568636253476143,
0.022514816373586655,
-0.05511202663183212,
0.03193389251828194,
0.008234585635364056,
0.00138822419103235,
-0.05060148239135742,
0.01346530020236969,
0.02681688964366913,
-0.0373162217438221,
-0.029034258797764778,
0.0175494272261858,
0.013560059480369091,
0.03915455564856529,
0.0328056775033474,
0.025717681273818016,
-0.024296291172504425,
0.025376547127962112,
-0.004711907356977463,
0.009310103952884674,
-0.042944926768541336,
0.04563609138131142,
0.04321025311946869,
0.0177389457821846,
0.01435603853315115,
0.01793794147670269,
-0.00765181565657258,
-0.020998667925596237,
-0.0040746512822806835,
0.0974883958697319,
-0.007997686974704266,
0.03674766793847084,
0.029470151290297508,
-0.03337423503398895,
0.037600502371788025,
-0.01826012320816517,
0.016222797334194183,
0.003172068390995264,
-0.015749000012874603,
0.0026437852066010237,
-0.003212341107428074,
0.06299600005149841,
0.023538216948509216,
-0.0025040153414011,
-0.0800526812672615,
-0.0022410580422729254,
0.02907216176390648,
0.05628703907132149,
0.03642548620700836,
0.05738624930381775,
0.010224531404674053,
0.017416764050722122,
-0.025926152244210243,
-0.01647864654660225,
0.0310810599476099,
-0.07163805514574051,
-0.014223375357687473,
0.008732072077691555,
0.026437852531671524,
-0.0009043593308888376,
-0.01221447717398405,
0.00007884272054070607,
0.007898190058767796,
0.019501470029354095,
-0.027650771662592888,
-0.0006206735852174461,
0.0483272559940815,
-0.038358576595783234,
0.006661580875515938,
0.0222115870565176,
-0.012602990493178368,
0.06428472697734833,
0.004117292817682028,
-0.031100012362003326,
0.009911825880408287,
-0.023632977157831192,
-0.009352745488286018,
-0.015976423397660255,
-0.006040906999260187,
0.02998185157775879,
-0.022003116086125374,
-0.0036316511686891317,
-0.026267286390066147,
-0.017322005704045296,
0.041163451969623566,
-0.012887268327176571,
0.027214879170060158,
0.009073205292224884,
-0.003394752973690629,
0.010830990970134735,
-0.0356295071542263,
-0.0019496731692925096,
0.004652683157473803,
-0.004060436971485615,
0.015076208859682083,
0.04355138540267944,
-0.010802563279867172,
0.012735653668642044,
-0.0037761591374874115,
0.031422194093465805,
-0.049199044704437256,
-0.04184572026133537,
-0.038112200796604156,
0.0007172096520662308,
0.0017826599068939686,
-0.01528467983007431,
-0.0016796090640127659,
-0.01061304472386837,
-0.028882643207907677,
0.013038883917033672,
0.05026034638285637,
0.001847806852310896,
0.02249586395919323,
0.010110820643603802,
-0.005804008804261684,
-0.029413295909762383,
0.005870340391993523,
-0.015436294488608837,
-0.0007438607281073928,
0.01146587822586298,
-0.03598959371447563,
-0.04567399621009827,
-0.005699773784726858,
0.0395335927605629,
-0.07868814468383789,
0.006003003567457199,
-0.005557634402066469,
0.010234007611870766,
-0.009276938624680042,
-0.012963076122105122,
-0.04036747291684151,
-0.03972310945391655,
-0.0022078922484070063,
-0.01797584444284439,
0.014346562325954437,
0.0016227534506469965,
-0.005401281639933586,
-0.03809325024485588,
0.014071759767830372,
0.012498755007982254,
0.024049917235970497,
0.017719995230436325,
-0.02391725406050682,
-0.01411913987249136,
0.0025466568768024445,
0.0397610142827034,
0.012470327317714691,
-0.04123925790190697,
-0.008371986448764801,
0.017085107043385506,
0.012034434825181961,
-0.019027672708034515,
-0.031100012362003326,
0.03566741198301315,
0.019634133204817772,
0.03434078022837639,
-0.04139087349176407,
0.014052808284759521,
-0.007026404142379761,
0.003728779498487711,
0.011039461940526962,
-0.02755601331591606,
-0.003226555185392499,
0.034075453877449036,
-0.03212341293692589,
0.005207024980336428,
0.0000796570602688007,
0.03037984110414982,
0.03652024641633034,
0.013986476697027683,
0.007917141541838646,
-0.012527182698249817,
0.017179865390062332,
-0.022154731675982475,
-0.02300756424665451,
-0.07410179078578949,
-0.037410981953144073,
0.033014148473739624,
-0.01735043339431286,
-0.0443473644554615,
0.031308483332395554,
0.0165544543415308,
0.054240237921476364,
-0.06030483543872833,
0.013086263090372086,
0.0018928175559267402,
0.010025536641478539,
-0.010319290682673454,
0.042869120836257935,
0.014716123230755329,
0.0121007664129138,
0.02613462321460247,
0.011115268804132938,
0.03758154809474945,
0.009741258807480335,
0.0036292823497205973,
0.030872588977217674,
-0.005406019743531942,
-0.052572473883628845,
0.003247875953093171,
0.004908533301204443,
0.019823651760816574,
0.02962176501750946,
0.008992659859359264,
0.02300756424665451,
0.002171172993257642,
0.010641472414135933,
0.042073141783475876,
0.03146009519696236,
0.009058991447091103,
0.06686218082904816,
-0.011882820166647434,
0.02926168031990528,
0.010110820643603802,
-0.019615180790424347,
-0.02435314655303955,
0.03034193627536297,
0.03612225502729416,
-0.022799095138907433,
0.01010134443640709,
0.028731027618050575,
-0.04040537774562836,
-0.012877793051302433,
-0.008732072077691555,
-0.005211763083934784,
-0.025452354922890663,
0.028124568983912468,
-0.0001730838412186131,
-0.0017092213965952396,
-0.02111237868666649,
0.054278142750263214,
-0.006254115607589483,
0.025319691747426987,
-0.0006236348417587578,
-0.004441843368113041,
0.01948251761496067,
0.011844916269183159,
-0.00584191270172596,
0.047379665076732635,
-0.02289385348558426,
-0.07247193157672882,
-0.008395676501095295,
-0.04749337583780289,
-0.016336508095264435,
0.001397700048983097,
-0.025945104658603668,
-0.03869970887899399,
-0.010755184106528759,
0.002771710278466344,
0.025016462430357933,
0.0016251225024461746,
0.0061025009490549564,
-0.02446685917675495,
0.029091114178299904,
0.04067070409655571,
-0.04305863752961159,
0.035421036183834076,
-0.014801407232880592,
-0.026703178882598877,
0.023538216948509216,
-0.00529704662039876,
-0.0013941465876996517,
-0.0025182291865348816,
-0.009153750725090504,
0.01010134443640709,
0.0015623443759977818,
-0.0800526812672615,
0.0030986301135271788,
0.022192634642124176,
0.021510368213057518,
-0.0028214589692652225,
-0.0027977691497653723,
-0.013493727892637253,
0.020733341574668884,
-0.02751810848712921,
-0.021169234067201614,
0.038282766938209534,
0.011001558043062687,
-0.009807590395212173,
-0.012697749771177769,
0.033127859234809875,
-0.011484830640256405,
0.0008528339676558971,
0.014990925788879395,
-0.006273067556321621,
0.041997335851192474,
-0.01520887203514576,
-0.008215634152293205,
0.021832549944519997,
0.00036689627449959517,
-0.0018525448394939303,
-0.009750735014677048,
0.03219921886920929,
0.047303855419158936,
-0.017634710296988487,
0.08172044157981873,
-0.016014326363801956,
-0.004794822074472904,
0.0036292823497205973,
-0.004638469312340021,
0.020449062809348106,
-0.008618361316621304,
-0.029849188402295113,
-0.005894029978662729,
0.01346530020236969,
0.019539372995495796,
0.0443473644554615,
0.0441957488656044,
-0.01021505519747734,
-0.04935065656900406,
-0.0003002686135005206,
-0.006694746669381857,
0.0038543357513844967,
0.021794645115733147,
-0.030322985723614693,
0.050032924860715866,
-0.020221641287207603,
0.03481457754969597,
-0.044650595635175705,
-0.0060503832064569,
0.009381173178553581,
0.021396655589342117,
0.04423365369439125,
-0.026987455785274506,
-0.018544400110840797,
0.024580569937825203,
0.03722146525979042,
-0.02079019695520401,
0.008130350150167942,
0.013152594678103924,
-0.023310795426368713,
0.0220978744328022,
-0.006907954812049866,
-0.020335352048277855,
-0.026362044736742973,
0.025566067546606064,
-0.027593916282057762,
0.008490435779094696,
0.023784590885043144,
0.04260379448533058,
-0.038036394864320755,
0.031232673674821854,
-0.03254035487771034,
0.008111398667097092,
0.0073817516677081585,
0.005799270700663328,
0.057954806834459305,
-0.053520068526268005,
-0.0712590143084526,
-0.03568636253476143,
0.003771421266719699,
0.02562292292714119,
0.00584191270172596,
0.016696592792868614,
0.026987455785274506,
-0.0054391855373978615,
0.0033568493090569973,
0.03413230925798416,
-0.0177389457821846,
-0.027385445311665535,
0.02755601331591606,
-0.01746414415538311,
-0.00576136726886034,
-0.0487062931060791,
0.007955045439302921,
0.009949729777872562,
-0.02609671838581562,
-0.03081573359668255,
-0.028731027618050575,
0.004809035919606686,
0.009376435540616512,
0.037676308304071426,
0.005557634402066469,
0.031213723123073578,
-0.008523601107299328,
-0.041959431022405624,
0.029034258797764778,
-0.03604644909501076,
0.0577273815870285,
0.020581725984811783,
0.006187784019857645,
-0.005003292579203844,
0.011617493815720081,
-0.04123925790190697,
0.020809147506952286,
-0.009461718611419201,
-0.02907216176390648,
-0.019672036170959473,
-0.011390071362257004,
-0.014659267850220203,
-0.004586351569741964,
-0.017833705991506577,
-0.0031673305202275515,
-0.014990925788879395,
-0.030986299738287926,
0.007135377265512943,
0.018307501450181007,
-0.0019188764272257686,
0.01502882968634367,
0.05026034638285637,
0.02427734062075615,
0.0033663250505924225,
-0.04267960041761398,
0.002016004640609026,
0.05480879545211792,
-0.021965213119983673,
-0.01330420933663845,
0.029166921973228455,
-0.0177389457821846,
-0.020183736458420753,
-0.053406357765197754,
0.003771421266719699,
-0.032578255981206894,
-0.0351746641099453,
0.030796781182289124,
-0.02696850523352623,
0.052572473883628845,
0.023822495713829994,
0.04070860892534256,
0.008163516409695148,
-0.008713120594620705,
-0.07209289819002151,
-0.0310810599476099,
0.02126399241387844,
-0.008405152708292007,
0.0031483785714954138,
-0.005709249526262283,
-0.001228317734785378,
-0.024921704083681107,
-0.01544577069580555,
-0.0020029752049595118,
-0.01999421790242195,
-0.020809147506952286,
-0.0350988544523716,
0.0055007790215313435,
-0.019672036170959473,
-0.02115028165280819,
0.04339977353811264,
0.018127460032701492,
0.027499156072735786,
0.008964232169091702,
0.007343847770243883,
0.018080079928040504,
-0.007196970749646425,
-0.04074651002883911,
-0.04146668314933777,
0.017454668879508972,
0.011333215981721878,
-0.025281788781285286,
0.020221641287207603,
-0.037164609879255295,
0.061479851603507996,
0.015568957664072514,
-0.023272890597581863,
0.021567223593592644,
0.03252140060067177,
0.01687663607299328,
0.03904084488749504,
0.02348136156797409,
0.040140051394701004,
0.016620786860585213,
0.022761190310120583,
0.009054253809154034,
0.010110820643603802,
0.0399884358048439,
-0.022799095138907433,
0.007173281162977219,
-0.05753786489367485,
0.03462505713105202,
-0.039230361580848694,
0.02831408753991127,
0.012650370597839355,
-0.0165544543415308,
-0.02882578782737255,
0.021680934354662895,
0.026267286390066147,
0.017492571845650673,
0.04965388774871826,
-0.05454346910119057,
-0.029716525226831436,
0.009210607036948204,
0.01817483827471733,
0.0011098686372861266,
-0.03208550810813904,
-0.000771696271840483,
-0.0066426289267838,
0.008812617510557175,
0.02169988676905632,
-0.049199044704437256,
0.02569872885942459,
0.07247193157672882,
-0.014697171747684479,
-0.0020337721798568964,
-0.015550006181001663,
0.012489279732108116,
0.011304788291454315,
-0.0009552924893796444,
-0.011788059957325459,
-0.023026516661047935,
-0.004835094790905714,
-0.0016973764868453145,
0.003911191131919622,
0.03147904947400093,
0.012574562802910805,
0.07527680695056915,
-0.0264189001172781,
-0.004067544359713793,
-0.01564476452767849,
-0.016289127990603447,
-0.025130173191428185,
0.0034302875865250826,
-0.048061929643154144,
-0.009712831117212772,
-0.01844964176416397,
-0.024883799254894257,
0.004742704331874847,
0.029602814465761185,
0.01495302189141512,
-0.015739524737000465,
-0.031062107533216476,
0.0057187252677977085,
-0.03417021408677101,
0.01235661655664444,
0.018876058980822563,
-0.03742993623018265,
0.003982260823249817,
0.022439008578658104,
-0.05200392007827759,
-0.038358576595783234,
-0.013588487170636654,
-0.031422194093465805,
-0.045522380620241165,
0.02304546907544136,
0.022514816373586655,
0.011664872989058495,
0.004626624286174774,
-0.0030394054483622313,
-0.02435314655303955,
-0.013759054243564606,
0.022439008578658104,
0.02024059183895588,
0.006637890823185444,
0.019709940999746323,
-0.015502626076340675,
-0.035383131355047226,
-0.016933491453528404,
0.011930199339985847,
0.047152239829301834,
0.009509098716080189,
0.03663395717740059,
0.022780142724514008,
-0.008751023560762405,
0.03037984110414982,
0.009807590395212173,
-0.014735075645148754,
-0.007708671502768993,
0.0013396600261330605,
0.02043011039495468,
0.00800242554396391,
-0.06197259947657585,
0.013569535687565804,
0.019615180790424347,
-0.028219327330589294,
0.05363377928733826,
-0.04609093815088272,
-0.054240237921476364,
-0.024334196001291275
] |
Due to the unavailability of routing information in design stages prior to
detailed routing (DR), the tasks of timing prediction and optimization pose
major challenges. Inaccurate timing prediction wastes design effort, hurts
circuit performance, and may lead to design failure. This work focuses on
timing prediction after clock tree synthesis and placement legalization, which
is the earliest opportunity to time and optimize a "complete" netlist. The
paper first documents that having "oracle knowledge" of the final post-DR
parasitics enables post-global routing (GR) optimization to produce improved
final timing outcomes. To bridge the gap between GR-based parasitic and timing
estimation and post-DR results during post-GR optimization, machine learning
(ML)-based models are proposed, including the use of features for macro
blockages for accurate predictions for designs with macros. Based on a set of
experimental evaluations, it is demonstrated that these models show higher
accuracy than GR-based timing estimation. When used during post-GR
optimization, the ML-based models show demonstrable improvements in post-DR
circuit performance. The methodology is applied to two different tool flows -
OpenROAD and a commercial tool flow - and results on 45nm bulk and 12nm FinFET
enablements show improvements in post-DR slack metrics without increasing
congestion. The models are demonstrated to be generalizable to designs
generated under different clock period constraints and are robust to training
data with small levels of noise. | [
0.010898920707404613,
-0.015744997188448906,
-0.031661029905080795,
-0.01668570563197136,
-0.021474769338965416,
0.02820226363837719,
-0.00032336870208382607,
0.04709245637059212,
-0.08947186917066574,
-0.04416580870747566,
0.06240985915064812,
0.029133470728993416,
0.06514646857976913,
-0.0263968612998724,
-0.03405556455254555,
0.024477435275912285,
0.03681117668747902,
-0.05138741061091423,
0.04884084686636925,
-0.06822515279054642,
0.013806566596031189,
-0.041695259511470795,
-0.017949486151337624,
0.008841713890433311,
-0.035252828150987625,
0.021379748359322548,
-0.022539004683494568,
0.018928203731775284,
-0.10657566785812378,
0.0031808314379304647,
0.03998487815260887,
0.0274610985070467,
0.015802009031176567,
0.005919814575463533,
-0.07521870732307434,
-0.03468270227313042,
0.03755233809351921,
0.030444761738181114,
-0.020999664440751076,
0.02523760497570038,
-0.019213266670703888,
0.023280169814825058,
0.007107578217983246,
0.022539004683494568,
0.01199166290462017,
-0.02080962061882019,
0.0008599409484304488,
-0.007064818870276213,
-0.007691957987844944,
0.017493385821580887,
-0.00809104647487402,
-0.02835429646074772,
0.03645009547472,
-0.07058167457580566,
-0.02250099740922451,
0.012248219922184944,
0.05872303992509842,
0.051995545625686646,
0.024021334946155548,
0.03143297880887985,
0.02075260877609253,
0.017996996641159058,
-0.05670859292149544,
0.010262278839945793,
0.007725215516984463,
-0.03707723319530487,
-0.020201485604047775,
-0.00011870214075315744,
0.0491069070994854,
-0.02139875292778015,
-0.05936918407678604,
-0.047928642481565475,
0.012238717637956142,
-0.03549988195300102,
-0.006565958261489868,
-0.023698262870311737,
-0.006005333736538887,
0.020144473761320114,
0.007416396867483854,
-0.018396085128188133,
0.009540118277072906,
0.07491463422775269,
-0.02339419536292553,
0.0012037985725328326,
0.05161546170711517,
-0.06852921843528748,
0.05134940519928932,
-0.07791730016469955,
0.0018576625734567642,
-0.027347072958946228,
0.0025370633229613304,
0.02597877010703087,
-0.016761722043156624,
0.048308730125427246,
-0.005420953966677189,
0.012115190736949444,
0.023432204499840736,
0.0069032832980155945,
-0.035309839993715286,
0.034150585532188416,
-0.029589571058750153,
-0.0003025828336831182,
-0.002209240570664406,
0.029057452455163002,
0.026529891416430473,
-0.03717225417494774,
-0.03242120146751404,
0.03719126060605049,
0.02725205197930336,
0.15720291435718536,
0.03517681360244751,
-0.03278227895498276,
0.06031939387321472,
0.029019445180892944,
-0.05693664401769638,
0.008604160510003567,
-0.04675038158893585,
-0.06510845571756363,
-0.0019146752310916781,
0.021151697263121605,
-0.021265722811222076,
0.0824022963643074,
-0.014927814714610577,
-0.005078877788037062,
-0.037362296134233475,
0.03175605088472366,
0.023584237322211266,
-0.008129055611789227,
-0.006352160591632128,
-0.015193874016404152,
-0.05868503451347351,
-0.013369468972086906,
-0.023508220911026,
-0.04523004591464996,
0.0412011481821537,
0.006703738588839769,
0.014832793734967709,
-0.021683815866708755,
-0.03175605088472366,
0.021056676283478737,
0.021322734653949738,
-0.05667058378458023,
-0.0014680760214105248,
-0.05313580110669136,
-0.006095603574067354,
0.008708683773875237,
-0.0017163186566904187,
0.07153188437223434,
-0.04580017179250717,
0.05465613678097725,
-0.06989752501249313,
0.008589907549321651,
0.012998886406421661,
0.037058230489492416,
0.021455764770507812,
0.0008777574403211474,
-0.05100732669234276,
-0.017094295471906662,
-0.006775004789233208,
-0.0012281477684155107,
0.04260746389627457,
-0.02677694708108902,
-0.015516946092247963,
0.02434440702199936,
0.008941485546529293,
0.04686440899968147,
0.03468270227313042,
-0.05515024811029434,
-0.0935007631778717,
0.03131895512342453,
-0.041847292333841324,
0.000272591772954911,
-0.002755611902102828,
-0.0006847458425909281,
-0.0008676614379510283,
-0.008480633608996868,
-0.008779949508607388,
0.01283735129982233,
-0.03819848224520683,
-0.0343216210603714,
-0.044241826981306076,
-0.0026534642092883587,
-0.0012899114517495036,
0.005810540169477463,
0.02974160574376583,
0.01505134254693985,
0.03095787577331066,
0.006694236770272255,
-0.016628693789243698,
-0.031071899458765984,
-0.010376304388046265,
0.0361650325357914,
0.00028936893795616925,
-0.0030406753066927195,
0.023223157972097397,
-0.043063562363386154,
-0.009269308298826218,
-0.029456540942192078,
-0.03004567325115204,
0.00615261634811759,
-0.033884525299072266,
-0.014566735364496708,
0.0016011055558919907,
0.03956678509712219,
-0.023641251027584076,
-0.030254719778895378,
0.05305978283286095,
-0.003755709156394005,
-0.02202589064836502,
-0.028582347556948662,
0.008960490114986897,
0.02208290435373783,
-0.052679698914289474,
-0.025047563016414642,
-0.01644815318286419,
-0.0042023081332445145,
0.023204153403639793,
-0.06085151433944702,
-0.019156254827976227,
-0.05355389416217804,
-0.03874960541725159,
0.05636651813983917,
0.00987269263714552,
-0.01623910665512085,
-0.01766442321240902,
0.05165347084403038,
0.004577641375362873,
0.03215514123439789,
0.03819848224520683,
0.027746161445975304,
0.004435109905898571,
0.038521554321050644,
0.02787919156253338,
-0.010794397443532944,
0.0057487767189741135,
-0.009720658883452415,
-0.03152800351381302,
-0.0004216561501380056,
0.0010256340028718114,
0.002508557168766856,
-0.023014111444354057,
-0.014338684268295765,
-0.04640830680727959,
-0.007867746986448765,
0.008276337757706642,
-0.0396047942340374,
-0.008466380648314953,
0.05465613678097725,
0.027423089370131493,
0.021037671715021133,
-0.008794203400611877,
0.003458768129348755,
0.008656422607600689,
0.003378000110387802,
-0.045078009366989136,
-0.008062540553510189,
0.01929878629744053,
-0.06567858904600143,
0.0021284727845340967,
-0.005069375969469547,
0.058647025376558304,
0.015744997188448906,
-0.0064091733656823635,
0.013226937502622604,
-0.016552675515413284,
0.01733184978365898,
0.028715377673506737,
0.06845320016145706,
-0.014120135456323624,
0.04789063706994057,
0.0018065887270495296,
-0.08597509562969208,
0.010613856837153435,
0.006105105858296156,
-0.03998487815260887,
-0.07194998115301132,
-0.04538207873702049,
0.04321559891104698,
0.007596937008202076,
0.031451985239982605,
-0.0020263250917196274,
0.02472449094057083,
0.013768557459115982,
0.009625637903809547,
-0.030805841088294983,
-0.03719126060605049,
-0.050513219088315964,
-0.005587240681052208,
-0.0361650325357914,
-0.000617043289821595,
0.00255606765858829,
0.030026668682694435,
-0.0019360549049451947,
0.02018248289823532,
0.03548087924718857,
-0.0038436036556959152,
0.015222380869090557,
-0.025066567584872246,
-0.01801600120961666,
0.01695176400244236,
0.01911824569106102,
-0.01196315698325634,
0.02339419536292553,
0.011668591760098934,
-0.011488051153719425,
-0.004287827294319868,
-0.04367169737815857,
0.041961319744586945,
-0.06795909255743027,
-0.03327639028429985,
-0.02920948714017868,
-0.0012364620342850685,
-0.01153556164354086,
-0.00532118184491992,
-0.052375633269548416,
0.019897418096661568,
-0.010661367326974869,
0.028164254501461983,
-0.052945759147405624,
-0.0077109625563025475,
0.010927426628768444,
-0.04393775761127472,
-0.06951744109392166,
0.018861688673496246,
0.024477435275912285,
0.06142164021730423,
0.005306928418576717,
0.041733268648386,
-0.036583125591278076,
-0.02814524993300438,
-0.006979300174862146,
0.021987883374094963,
-0.030938871204853058,
0.006508945487439632,
-0.02740408666431904,
-0.0686432421207428,
-0.06381617486476898,
0.016628693789243698,
0.034929756075143814,
-0.007079072296619415,
-0.019127747043967247,
-0.03892064467072487,
0.0013504874659702182,
-0.041125133633613586,
-0.028278280049562454,
-0.04625627398490906,
-0.04135318472981453,
-0.00045491353375837207,
-0.015954043716192245,
-0.02419237233698368,
0.0010921488283202052,
0.030482769012451172,
0.026548895984888077,
0.008528144098818302,
0.0607374869287014,
-0.0000890080482349731,
-0.020030448213219643,
-0.005610995925962925,
0.02143676020205021,
-0.019042229279875755,
0.051577452570199966,
-0.03665914013981819,
-0.022748051211237907,
0.019935427233576775,
-0.0596732534468174,
0.02445843257009983,
-0.0013528629206120968,
-0.01484229601919651,
-0.04583818092942238,
0.012115190736949444,
0.0012364620342850685,
0.04568614438176155,
0.0839986577630043,
0.018785672262310982,
0.000540432520210743,
0.0221779253333807,
0.02381228841841221,
-0.006371164694428444,
-0.021151697263121605,
0.039794836193323135,
-0.04405178129673004,
0.02962758019566536,
0.060813505202531815,
0.024268388748168945,
-0.035670921206474304,
0.053591903299093246,
0.016790227964520454,
-0.059977319091558456,
-0.06237185001373291,
0.059179142117500305,
-3.2477917244477794e-8,
-0.01698027178645134,
0.03052077814936638,
-0.029589571058750153,
0.008908228017389774,
-0.047662585973739624,
0.042113352566957474,
-0.006200126837939024,
0.05834295600652695,
-0.03654511645436287,
-0.07141786068677902,
0.02428739331662655,
0.009492607787251472,
0.03099588304758072,
-0.03844553977251053,
0.05286974087357521,
0.013369468972086906,
-0.048612795770168304,
0.024629469960927963,
-0.009183789603412151,
0.04880283772945404,
-0.009882194921374321,
0.009483106434345245,
-0.0412011481821537,
0.004648907575756311,
0.0021842976566404104,
-0.018529115244746208,
-0.0007649198523722589,
0.007235856726765633,
-0.003458768129348755,
-0.07529471814632416,
0.020163478329777718,
0.04131517559289932,
0.007677705027163029,
0.08909178525209427,
0.03321937844157219,
-0.01757890358567238,
0.004401852376759052,
-0.005953072104603052,
0.010233772918581963,
0.02461046539247036,
0.024781502783298492,
0.0021997385192662477,
0.007283367682248354,
0.0034801478032022715,
-0.009164785034954548,
-0.002563194138929248,
0.02962758019566536,
-0.04158123582601547,
0.027822177857160568,
-0.026852963492274284,
-0.009977215901017189,
0.0043519665487110615,
-0.007012557238340378,
-0.03867358714342117,
-0.031604018062353134,
-0.0021260972134768963,
-0.02291909046471119,
-0.0016961266519501805,
-0.04165725037455559,
-0.06769303232431412,
0.0027674895245581865,
-0.0808059424161911,
0.024420423433184624,
0.06278994679450989,
-0.000621794315520674,
0.010309789329767227,
-0.0660206601023674,
0.018025502562522888,
-0.005744025576859713,
-0.010841907933354378,
0.08392263948917389,
-0.011174481362104416,
-0.08323848247528076,
0.006171620450913906,
-0.007003055419772863,
-0.024097351357340813,
-0.00500286091119051,
0.0024610464461147785,
0.029646584764122963,
0.0385405607521534,
0.0012602173956111073,
-0.027917200699448586,
0.010765890590846539,
0.05096931755542755,
0.04215136170387268,
0.0004483808297663927,
-0.028240270912647247,
0.013854077085852623,
0.015849519520998,
-0.020429536700248718,
0.0501711405813694,
0.01518437173217535,
0.01428167149424553,
-0.01608707197010517,
0.04287352040410042,
0.023622246459126472,
-0.0049173422157764435,
0.052109573036432266,
-0.015992050990462303,
-0.0036678146570920944,
-0.024097351357340813,
-0.00632365420460701,
-0.0131984306499362,
0.014899308793246746,
0.008110051043331623,
-0.03380850702524185,
-0.035993993282318115,
0.02493353746831417,
0.01769292913377285,
-0.007948515005409718,
-0.030273722484707832,
0.01463324949145317,
0.024382414296269417,
-0.012504776939749718,
0.013797064311802387,
0.09517313539981842,
0.03264924883842468,
-0.02312813699245453,
0.012761333957314491,
0.006470937281847,
0.015725992619991302,
-0.014025114476680756,
-0.004313957877457142,
0.03544287011027336,
0.0327632762491703,
-0.022348962724208832,
0.0024467934854328632,
-0.013378971256315708,
0.018396085128188133,
0.04336763173341751,
-0.007117080502212048,
-0.013721046969294548,
0.02139875292778015,
-0.0660586729645729,
0.06628672033548355,
0.034568678587675095,
-0.038160473108291626,
0.04884084686636925,
-0.053743936121463776,
-0.025541672483086586,
0.02677694708108902,
-0.029551561921834946,
-0.014756777323782444,
-0.04051699861884117,
-0.030064675956964493,
-0.01587802544236183,
0.02856334298849106,
-0.03316236287355423,
-0.025009553879499435,
-0.015697486698627472,
0.002836379921063781,
-0.03473971411585808,
-0.0072168526239693165,
0.05081728473305702,
0.030083680525422096,
0.0048935869708657265,
0.015459933318197727,
0.005069375969469547,
0.0015975423157215118,
-0.050627242773771286,
-0.0021272848825901747,
0.03289630636572838,
-0.00819556973874569,
-0.033561453223228455,
0.0057962872087955475,
-0.010699376463890076,
-0.0356329120695591,
-0.01804450713098049,
0.03603200241923332,
-0.014899308793246746,
-0.027214042842388153,
0.016866246238350868,
-0.00504562072455883,
-0.016343628987669945,
-0.038521554321050644,
0.02689097262918949,
0.05423804372549057,
-0.03031173162162304,
0.03555689752101898,
-0.0033233631402254105,
0.00029961339896544814,
-0.050513219088315964,
-0.004601397085934877,
0.025731714442372322,
0.0009270496084354818,
0.003444514935836196,
-0.033086348325014114,
0.022481992840766907,
-0.0250855702906847,
0.038160473108291626,
0.016467157751321793,
0.004435109905898571,
-0.006798760034143925,
-0.000808867160230875,
-0.06362613290548325,
-0.022310955449938774,
-0.03574693948030472,
0.009687401354312897,
0.02333718352019787,
-0.01660018600523472,
0.03806545212864876,
-0.022006887942552567,
-0.0029052700847387314,
-0.03046376444399357,
-0.006546954158693552,
-0.004161924123764038,
0.017759444192051888,
0.01734135113656521,
-0.01991642266511917,
0.030064675956964493,
0.042759496718645096,
-0.00927881058305502,
-0.005729772616177797,
0.0072168526239693165,
-0.038996659219264984,
0.040212929248809814,
-0.037058230489492416,
0.016039561480283737,
0.012723325751721859,
0.02434440702199936,
0.01460474357008934,
0.021797841414809227,
-0.016134582459926605,
0.05815291404724121,
0.0007601688266731799,
0.030273722484707832,
0.021531781181693077,
-0.011934650130569935,
-0.024439428001642227,
0.013065401464700699,
0.021664811298251152,
0.01997343637049198,
0.01935579814016819,
-0.027632135897874832,
0.06069948151707649,
-0.022805064916610718,
-0.0459522046148777,
-0.02286207675933838,
-0.045192036777734756,
-0.026472879573702812,
-0.006893781013786793,
-0.06358812004327774,
-0.006318903062492609,
0.03350444138050079,
0.015174870379269123,
-0.0459522046148777,
0.04089708253741264,
-0.002584574045613408,
-0.0014039367670193315,
-0.054694145917892456,
0.02645387500524521,
-0.013454987667500973,
0.03956678509712219,
0.0017329473048448563,
0.0038531057070940733,
-0.00532118184491992,
-0.0026344601064920425,
0.021626802161335945,
0.11007244139909744,
0.011202988214790821,
0.005335434805601835,
0.009340574033558369,
0.050513219088315964,
0.004370970651507378,
-0.03607001155614853,
0.029285503551363945,
-0.02329917438328266,
0.01251427922397852,
0.020847629755735397,
0.028962431475520134,
0.036564119160175323,
-0.009445097297430038,
0.010262278839945793,
0.031927090138196945,
0.0007696709362789989,
0.02751811034977436,
0.027746161445975304,
-0.014167645946145058,
0.048460762947797775,
-0.006870025768876076,
-0.00740689504891634,
-0.006836768239736557,
0.040478989481925964,
0.01991642266511917,
-0.022843072190880775,
0.008110051043331623,
-0.0018315317574888468,
-0.03865458443760872,
0.012181704863905907,
-0.023888304829597473,
-0.0245534535497427,
-0.0012982258340343833,
0.015098853036761284,
0.02229195088148117,
-0.014927814714610577,
-0.028335291892290115,
-0.011896641924977303,
-0.00594356982037425,
0.040859073400497437,
0.012761333957314491,
-0.007041063625365496,
-0.04025093838572502,
0.029817622154951096,
-0.010594853200018406,
0.046294279396533966,
-0.009421342052519321,
-0.014908811077475548,
0.03871159628033638,
0.006575460080057383,
-0.00470591988414526,
0.05169147998094559,
-0.028278280049562454,
-0.01227672677487135,
-0.026947984471917152,
0.02333718352019787,
0.0026273333933204412,
-0.005544481333345175,
-0.023565232753753662,
-0.01795898750424385,
-0.005496970843523741,
-0.008955738507211208,
-0.03031173162162304,
0.03827450051903725,
0.05762079730629921,
-0.030482769012451172,
-0.0009989093523472548,
0.04678839072585106,
-0.01217220351099968,
0.05169147998094559,
0.009521114639937878,
-0.0032711015082895756,
0.010499832220375538,
-0.08407466858625412,
-0.04553411155939102,
0.023470211774110794,
0.027062010020017624,
-0.02767014503479004,
-0.029247494414448738,
-0.007102827541530132,
-0.012922869995236397,
-0.045914195477962494,
-0.0052309115417301655,
-0.005791536066681147,
0.006228633224964142,
-0.05720270425081253,
0.026757942512631416,
0.024382414296269417,
-0.0007880812627263367,
-0.00594356982037425,
-0.0036393082700669765,
0.038312509655952454,
-0.008290590718388557,
0.028867410495877266,
0.0005618122522719204,
0.022672034800052643,
0.05621448531746864,
-0.01739836297929287,
0.014861300587654114,
0.012077182531356812,
0.01893770508468151,
-0.041391193866729736,
0.02968459203839302,
0.017141805961728096,
-0.07438252121210098,
0.004489746876060963,
0.011668591760098934,
-0.04515402764081955,
0.02698599360883236,
-0.02630184032022953,
-0.027708154171705246,
0.022196929901838303,
0.03559490665793419,
-0.0026867217384278774,
0.04811868444085121,
-0.004183304030448198,
-0.035461876541376114,
0.010176760144531727,
0.0298366267234087,
-0.0005915063666179776,
0.011440540663897991,
-0.005354438908398151,
0.0219118669629097,
-0.054694145917892456,
0.008699181489646435,
0.007269114255905151,
-0.006646726280450821,
-0.0000441328484157566,
0.00785349402576685,
0.0010179135715588927,
-0.030539782717823982,
0.009806177578866482,
-0.02022049017250538,
0.016961267217993736,
0.017854465171694756,
0.03601299598813057,
-0.0038293504621833563,
-0.02208290435373783,
-0.030406752601265907,
0.03443564847111702,
-0.0052546667866408825,
0.025123579427599907,
0.008200321346521378,
0.023641251027584076,
0.03259223699569702,
-0.0016022933414205909,
-0.003373249201104045,
0.013825570233166218,
-0.002869637217372656,
-0.005734523292630911,
0.010613856837153435,
0.006071848329156637,
0.009996219538152218,
0.058647025376558304,
0.013426481746137142,
-0.03302933648228645,
0.008119553327560425,
-0.06248587742447853,
-0.015098853036761284,
0.0035989242605865,
0.04104911535978317,
0.03318136930465698,
-0.03120492957532406,
-0.03998487815260887,
-0.004026519134640694,
-0.033732492476701736,
0.015744997188448906,
0.0007447279058396816,
-0.023356186226010323,
-0.030976878479123116,
-0.008732439018785954,
-0.002115407260134816,
0.023147139698266983,
-0.006908033974468708,
-0.03156600892543793,
-0.031014887616038322,
0.012780338525772095,
-0.011402532458305359,
0.025161588564515114,
-0.025256609544157982,
-0.00368444318883121,
0.0277271568775177,
-0.03458768129348755,
-0.001952683669514954,
-0.033884525299072266,
0.025902751833200455,
-0.011202988214790821,
0.03202211111783981,
-0.0021403504069894552,
0.035195816308259964,
-0.03677316755056381,
0.022462988272309303,
0.020429536700248718,
-0.02666292153298855,
-0.03867358714342117,
-0.0039623798802495,
-0.014414701610803604,
-0.01721782423555851,
0.014234161004424095,
0.03814147040247917,
0.043709706515073776,
-0.008338102139532566,
0.0032639747951179743,
0.012400253675878048,
-0.04523004591464996,
-0.016343628987669945,
0.05180550366640091,
0.028183259069919586,
0.027708154171705246,
0.010290785692632198,
0.05112135410308838,
0.036583125591278076,
-0.01959335058927536,
-0.007848743349313736,
-0.024591460824012756,
-0.008499637246131897,
-0.018149031326174736,
-0.025332625955343246,
-0.0480806790292263,
-0.035727933049201965,
-0.018092017620801926,
0.02692897990345955,
-0.036583125591278076,
0.0004947035922668874,
0.06069948151707649,
0.017227325588464737,
0.0224439837038517,
-0.040478989481925964,
-0.028392305597662926,
-0.04458390176296234,
0.031299952417612076,
0.03215514123439789,
0.019726380705833435,
0.018367579206824303,
0.035404860973358154,
0.010813401080667973,
-0.035195816308259964,
-0.03063480369746685,
-0.0353858582675457,
-0.05640452727675438,
-0.05397198721766472,
0.05427605286240578,
0.004050274379551411,
-0.03154700621962547,
0.03787541016936302,
0.015564456582069397,
-0.02080962061882019,
-0.017046784982085228,
0.012960878200829029,
0.027271056547760963,
-0.00998671818524599,
-0.052375633269548416,
-0.001842221594415605,
-0.024515444412827492,
0.05602444335818291,
-0.020429536700248718,
0.03365647420287132,
0.012058177962899208,
-0.026320844888687134,
-0.03190808743238449,
-0.004378097131848335,
-0.0018885444151237607,
0.03384651616215706,
-0.0008272774866782129,
0.05819092318415642,
0.013683038763701916,
-0.006679983343929052,
-0.04161924123764038,
-0.019260777160525322,
-0.043709706515073776,
0.034188590943813324,
-0.00014379365893546492,
-0.028696373105049133,
0.010034228675067425,
-0.0017507638549432158,
0.02677694708108902,
0.030178701505064964,
-0.04515402764081955,
0.02571270987391472,
0.00725961197167635,
-0.003076308174058795,
-0.003306734375655651,
0.017236828804016113,
0.012400253675878048,
0.010271781124174595,
0.020467545837163925,
-0.034188590943813324,
-0.0002394828770775348,
-0.008200321346521378,
0.015488439239561558,
-0.042379412800073624,
0.015630971640348434,
0.0045182532630860806,
0.01875716634094715,
0.01111746858805418,
-0.04082106426358223,
0.03422660008072853,
0.06526049226522446,
-0.019184760749340057,
0.03209812939167023,
-0.033618465065956116,
0.007383139804005623,
0.003033548593521118,
-0.00370344752445817,
-0.009668396785855293,
0.01656217873096466,
-0.010395308956503868,
0.0009484293987043202,
-0.04009890556335449,
0.035043783485889435,
-0.008323848247528076,
0.031223934143781662,
-0.0018505359767004848,
-0.02689097262918949,
0.015526448376476765,
0.03384651616215706,
-0.013483494520187378,
-0.055112238973379135,
-0.0010458260076120496,
0.02134173922240734,
0.018063511699438095,
-0.03491075336933136,
0.03367547690868378,
0.04492597654461861,
0.01997343637049198,
0.0104333171620965,
-0.0075636799447238445,
-0.04310157150030136,
0.04614224657416344,
0.02567470259964466,
0.06472837179899216,
0.00955912284553051,
-0.021835848689079285,
0.013635528273880482,
-0.024439428001642227,
-0.01781645603477955,
-0.025275612249970436,
-0.016334127634763718,
-0.010556844063103199,
-0.0013611773028969765,
-0.00872768834233284,
-0.005093131214380264,
0.03918670117855072,
0.0018077765125781298,
-0.020638583227992058,
-0.025750719010829926,
0.018652642145752907,
-0.0024562955368310213,
0.02550366334617138,
0.0005594367394223809,
-0.008485384285449982,
0.022063899785280228,
-0.05013313516974449,
0.001167571754194796,
-0.032611243426799774,
-0.014861300587654114,
0.03529083728790283,
0.005292675457894802,
-0.0069507937878370285,
0.03874960541725159,
-0.021037671715021133,
-0.04462191089987755,
0.006342658773064613,
0.05735473707318306,
-0.02449643984436989,
-0.012533283792436123,
-0.02039152942597866,
0.03559490665793419,
-0.024629469960927963,
-0.037001218646764755,
0.025788726285099983,
-0.03244020417332649,
-0.009107772260904312,
-0.006993553135544062
] |
This two-part paper develops a paradigmatic theory and detailed methods of
the joint electricity market design using reinforcement-learning (RL)-based
simulation. In Part 2, this theory is further demonstrated by elaborating
detailed methods of designing an electricity spot market (ESM), together with a
reserved capacity product (RC) in the ancillary service market (ASM) and a
virtual bidding (VB) product in the financial market (FM). Following the theory
proposed in Part 1, firstly, market design options in the joint market are
specified. Then, the Markov game model is developed, in which we show how to
incorporate market design options and uncertain risks in model formulation. A
multi-agent policy proximal optimization (MAPPO) algorithm is elaborated, as a
practical implementation of the generalized market simulation method developed
in Part 1. Finally, the case study demonstrates how to pick the best market
design options by using some of the market operation performance indicators
proposed in Part 1, based on the simulation results generated by implementing
the MAPPO algorithm. The impacts of different market design options on market
participants' bidding strategy preference are also discussed. | [
0.011573988944292068,
-0.04891789332032204,
-0.03917926177382469,
0.011517804116010666,
-0.005379657261073589,
0.028691506013274193,
-0.02616320736706257,
0.04494752734899521,
-0.07348921149969101,
0.03217494115233421,
0.034890517592430115,
-0.0011166651966050267,
0.010057009756565094,
-0.05011649429798126,
-0.010366023518145084,
0.03614530339837074,
0.0392916314303875,
0.037362635135650635,
-0.023766005411744118,
-0.03494670242071152,
-0.034122664481401443,
0.009270427748560905,
0.027492905035614967,
0.08247871696949005,
-0.026200663298368454,
-0.007121373899281025,
0.005707399919629097,
0.024552587419748306,
-0.05978021398186684,
0.06397531926631927,
0.06341347098350525,
0.026200663298368454,
-0.008010960184037685,
0.027530360966920853,
-0.031388357281684875,
-0.020657135173678398,
-0.008689855225384235,
0.005777630489319563,
0.009176786988973618,
0.022529948502779007,
0.03408521041274071,
0.01283813826739788,
-0.048131313174963,
-0.03974110633134842,
0.00957944244146347,
0.023634908720850945,
-0.02048858255147934,
-0.03361700475215912,
-0.027024701237678528,
-0.00890054740011692,
0.05225150287151337,
-0.04251287132501602,
0.028728961944580078,
0.0019395326962694526,
-0.00831997487694025,
-0.030208485201001167,
0.04936736822128296,
0.06742129474878311,
-0.03217494115233421,
0.0002976018004119396,
0.09154313057661057,
-0.05146491900086403,
-0.04165137559175491,
-0.0005671114195138216,
-0.008076509460806847,
-0.04034040868282318,
0.0020846757106482983,
0.03578947111964226,
-0.0019547492265701294,
-0.016452668234705925,
-0.05236387252807617,
0.03769974038004875,
-0.03680079057812691,
-0.019982922822237015,
0.012856866233050823,
-0.005665261298418045,
0.00945302750915289,
0.03148199990391731,
0.02466495707631111,
0.051727116107940674,
0.016892779618501663,
0.03268060088157654,
-0.02599465474486351,
-0.015366436913609505,
-0.01497314590960741,
-0.018971603363752365,
0.035190168768167496,
-0.07236552238464355,
0.04786911979317665,
-0.0005779386265203357,
-0.04363656044006348,
-0.0064752534963190556,
-0.032792966812849045,
0.04236304759979248,
0.02444021962583065,
-0.012557215988636017,
0.010169378481805325,
-0.016106197610497475,
-0.02288578264415264,
0.050640881061553955,
-0.0011394900502637029,
-0.00007059629569994286,
0.008731993846595287,
0.016031285747885704,
0.01179872639477253,
-0.02211792953312397,
0.0004547425778582692,
0.03895452618598938,
0.029122253879904747,
0.09716157615184784,
-0.03290533646941185,
0.051876939833164215,
-0.0028794510290026665,
0.01540389284491539,
-0.08937066793441772,
-0.0515398345887661,
-0.010534577071666718,
-0.025638820603489876,
0.02957172878086567,
-0.018625132739543915,
-0.0025727779138833284,
0.024533860385417938,
0.001512297079898417,
-0.06375057995319366,
-0.054985810071229935,
0.023691093549132347,
-0.0020589246414601803,
-0.00988845620304346,
0.061203550547361374,
0.07925747334957123,
-0.08277836441993713,
-0.008408933877944946,
-0.03556473180651665,
-0.026818692684173584,
0.006283290218561888,
0.018671952188014984,
-0.0014280204195529222,
-0.042025938630104065,
-0.011836182326078415,
-0.004696080461144447,
-0.008881819434463978,
-0.03799939155578613,
0.009982096962630749,
0.018053924664855003,
0.010506484657526016,
0.03970365226268768,
-0.020132746547460556,
0.04719490557909012,
-0.016471397131681442,
0.005655897315591574,
-0.031163619831204414,
0.03307389095425606,
-0.03794320672750473,
0.011302431114017963,
0.013184608891606331,
-0.0019371917005628347,
0.037830837070941925,
0.0005852542817592621,
0.020600950345396996,
0.040153127163648605,
0.05813213810324669,
0.029066069051623344,
0.007926683872938156,
0.06333856284618378,
0.019121427088975906,
0.027343079447746277,
-0.018756229430437088,
-0.006465889513492584,
-0.05891871824860573,
0.03545236214995384,
-0.057233188301324844,
-0.024889694526791573,
0.02211792953312397,
0.019383622333407402,
0.00443622749298811,
-0.0103566600009799,
0.05000412464141846,
-0.011545896530151367,
0.01098405197262764,
0.03097633831202984,
-0.0020460488740354776,
-0.008156104013323784,
0.05678371340036392,
0.05348755791783333,
0.0008334020967595279,
0.012856866233050823,
0.04446059837937355,
-0.049854300916194916,
0.012098376639187336,
-0.020544765517115593,
0.019093336537480354,
0.053674839437007904,
0.026481585577130318,
-0.020207660272717476,
-0.0008860749658197165,
-0.017950918525457382,
0.004691398236900568,
0.0247585978358984,
0.0003845120663754642,
0.030901426449418068,
-0.011470983736217022,
-0.028185846284031868,
0.026556499302387238,
0.000797701592091471,
0.0030409812461584806,
-0.012135832570493221,
0.019196340814232826,
-0.008699219673871994,
0.043112169951200485,
-0.04786911979317665,
0.008811588399112225,
-0.010047645308077335,
-0.02724943868815899,
-0.03033958189189434,
-0.02312924899160862,
-0.01066567376255989,
0.013559170998632908,
-0.010328567586839199,
0.0041646696627140045,
-0.04498498514294624,
0.004064005799591541,
0.007612987887114286,
0.02871023491024971,
0.0064986636862158775,
0.025488995015621185,
0.06513646245002747,
-0.033804286271333694,
-0.016199838370084763,
0.008362113498151302,
-0.04352419078350067,
-0.011658265255391598,
0.029159709811210632,
-0.023559996858239174,
-0.012192017398774624,
0.030526863411068916,
0.011751906014978886,
0.042962346225976944,
0.03661350905895233,
0.03648241236805916,
-0.05775757506489754,
-0.023147977888584137,
-0.0990343913435936,
-0.02174336649477482,
-0.010000824928283691,
-0.007870499975979328,
-0.009963368996977806,
-0.02397201582789421,
0.07427579164505005,
0.09139330685138702,
0.009691811166703701,
-0.015478805638849735,
-0.03936654329299927,
-0.020432397723197937,
0.007800268940627575,
-0.003001183969900012,
0.04517226666212082,
0.04670797288417816,
-0.062439609318971634,
-0.029084796085953712,
-0.008385523222386837,
0.020320028066635132,
0.03974110633134842,
0.036594778299331665,
0.035358723253011703,
-0.00805778056383133,
0.05067833885550499,
0.022567404434084892,
-0.004113167058676481,
-0.02073204703629017,
0.005557574797421694,
0.017932191491127014,
-0.07903274148702621,
-0.010946596041321754,
-0.005253242328763008,
0.028672777116298676,
-0.04726981744170189,
-0.02281087078154087,
0.0065688942559063435,
0.018334846943616867,
-0.022698502987623215,
0.003235285636037588,
0.012660220265388489,
0.0555851124227047,
-0.02288578264415264,
-0.04929245635867119,
-0.024627501145005226,
0.000012619545486813877,
0.0016984079265967011,
-0.0833776667714119,
-0.011030872352421284,
-0.009242335334420204,
0.009598170407116413,
0.0016562696546316147,
-0.005412431433796883,
0.048543330281972885,
0.006334792356938124,
0.034103937447071075,
0.02895369939506054,
0.008488528430461884,
0.04030295088887215,
-0.003188465256243944,
0.0284854955971241,
-0.016199838370084763,
0.039853475987911224,
-0.04037786275148392,
-0.0023890079464763403,
0.028991155326366425,
-0.0010710153728723526,
-0.03562091663479805,
-0.02095678448677063,
0.04266269505023956,
-0.022155385464429855,
-0.022848326712846756,
-0.02972155436873436,
-0.011705085635185242,
0.018007103353738785,
0.039778564125299454,
0.003225921653211117,
-0.057083360850811005,
0.031931474804878235,
0.03414139524102211,
-0.02063840627670288,
-0.13094712793827057,
0.036032937467098236,
0.031631823629140854,
-0.023578723892569542,
0.027118341997265816,
0.04168883338570595,
0.0055013904348015785,
0.011967279948294163,
-0.06352584064006805,
-0.001781514030881226,
-0.016227930784225464,
0.005829132627695799,
-0.028504224494099617,
-0.030208485201001167,
0.02142498828470707,
0.018971603363752365,
-0.020320028066635132,
-0.02856040932238102,
0.04393620789051056,
-0.00026877803611569107,
0.01772618107497692,
0.016087470576167107,
0.014111651107668877,
-0.033017706125974655,
-0.05191439762711525,
0.014430029317736626,
-0.0029239302966743708,
0.06345092505216599,
0.0010335590923205018,
-0.012735133059322834,
0.03917926177382469,
0.01962708681821823,
0.03932908922433853,
-0.035733286291360855,
-0.013755816966295242,
-0.04045277461409569,
0.015909552574157715,
-0.020769504830241203,
0.012210745364427567,
-0.03616403415799141,
-0.01703323982656002,
-0.012978599406778812,
-0.04183865711092949,
0.030901426449418068,
0.012192017398774624,
-0.01737971045076847,
0.005468616262078285,
0.008357430808246136,
0.0026687595527619123,
0.03638876974582672,
0.07850834727287292,
-0.012089012190699577,
-0.015413257293403149,
0.024927150458097458,
0.009747995063662529,
0.012519760057330132,
-0.048131313174963,
0.016902143135666847,
0.007650443818420172,
-0.0007298120763152838,
0.014224019832909107,
0.03715662285685539,
-0.02110661007463932,
-0.007800268940627575,
0.011227518320083618,
-0.050715796649456024,
0.02833567187190056,
0.0630389079451561,
-0.013090968132019043,
-0.04843096435070038,
-0.02290451154112816,
0.016902143135666847,
0.02181828022003174,
-0.019495990127325058,
0.061428289860486984,
0.02483350969851017,
-0.008493210189044476,
0.04258778318762779,
-0.013203336857259274,
0.01626538671553135,
-0.02125643566250801,
0.033167529851198196,
-0.0414266400039196,
-0.018943510949611664,
0.043112169951200485,
-0.0406775139272213,
-0.028822602704167366,
-0.015984464436769485,
0.032100025564432144,
-0.04944228008389473,
-0.018250569701194763,
-0.08217906206846237,
-0.005412431433796883,
0.0009083146578632295,
-0.08225397765636444,
0.03725026547908783,
-0.01638711988925934,
-0.05472361668944359,
0.025470266118645668,
-0.028766417875885963,
0.07918256521224976,
0.020582223311066628,
-0.017445258796215057,
0.022380122914910316,
0.0009323100675828755,
-0.025863558053970337,
-0.022754685953259468,
0.04914263263344765,
0.025975925847887993,
0.02989010699093342,
-0.01824120618402958,
-0.03571455925703049,
-0.022679774090647697,
-0.005098735447973013,
0.006390976719558239,
0.08996997028589249,
0.007135420106351376,
-0.030526863411068916,
0.0267812367528677,
-0.06790822744369507,
-0.01636839099228382,
0.022567404434084892,
0.009654354304075241,
-0.02095678448677063,
-0.010028917342424393,
-0.04105207696557045,
0.014842048287391663,
0.01765126921236515,
-0.04828113690018654,
0.015094878152012825,
-0.07686027139425278,
0.019908009096980095,
0.050790708512067795,
0.0034202260430902243,
0.004014844540506601,
-0.02164972573518753,
0.039778564125299454,
0.024421490728855133,
-0.0034740695264190435,
0.003518548794090748,
0.06832024455070496,
0.018578311428427696,
-0.0030924836173653603,
0.032100025564432144,
-0.02196810394525528,
0.0049208179116249084,
0.021312620490789413,
-0.0001511419250164181,
-0.01381200086325407,
0.013025419786572456,
0.03715662285685539,
0.0664474293589592,
-0.009616898372769356,
0.009663718752563,
0.011714450083673,
-0.09925912320613861,
0.013006690889596939,
0.012632128782570362,
0.011939187534153461,
-0.020320028066635132,
0.014963781461119652,
0.00017382051737513393,
0.016181111335754395,
0.020657135173678398,
0.04554682970046997,
0.033729374408721924,
-0.021144066005945206,
-0.013531079515814781,
-0.037905748933553696,
0.03404775261878967,
-0.01970200054347515,
0.0474945567548275,
-0.008128011599183083,
-0.00046732553164474666,
0.005014458671212196,
-0.046370867639780045,
0.03148199990391731,
-0.038842156529426575,
0.0020191273652017117,
-0.012154560536146164,
0.005669943522661924,
-0.01789473555982113,
0.0556974783539772,
-0.01636839099228382,
0.01424274779856205,
0.023391442373394966,
-0.039216719567775726,
0.004274697508662939,
0.045059897005558014,
0.0420633964240551,
-0.02009529061615467,
-0.00719628669321537,
0.04446059837937355,
0.004110826179385185,
0.00040470334351994097,
0.022604862228035927,
0.046295955777168274,
0.03196892887353897,
-0.002238012384623289,
-0.0267812367528677,
0.0033242444042116404,
0.01915888488292694,
-0.05989258363842964,
-0.00018654980522114784,
0.044572968035936356,
-0.004260651301592588,
0.08225397765636444,
-0.02041366882622242,
-0.0543115958571434,
0.04438568651676178,
-0.008535348810255527,
-0.0673089250922203,
0.003342972369864583,
-0.06832024455070496,
-0.0027975153643637896,
0.017051968723535538,
0.024496402591466904,
-0.02513316087424755,
-0.0240656565874815,
0.058469243347644806,
-0.009359386749565601,
0.020001649856567383,
0.0339728407561779,
0.0379619337618351,
0.0434492789208889,
-0.0339728407561779,
0.002075311727821827,
0.023915830999612808,
-0.00008178928692359477,
-0.0025025473441928625,
0.011180697940289974,
0.024346578866243362,
-0.03567710146307945,
-0.011208790354430676,
0.029815195128321648,
-0.02243630774319172,
-0.01781982183456421,
-0.014336388558149338,
-0.010656310245394707,
-0.016050012782216072,
0.009434298612177372,
-0.036913156509399414,
0.020844416692852974,
0.030545592308044434,
0.048131313174963,
0.04097716510295868,
0.03367318958044052,
-0.0008252085535787046,
-0.01831611804664135,
0.018559584394097328,
-0.03843013569712639,
0.008816270157694817,
-0.05461124703288078,
0.06007986515760422,
-0.03685697540640831,
0.047457098960876465,
-0.02507697604596615,
-0.01234184205532074,
-0.009570077992975712,
-0.0028794510290026665,
0.02893497236073017,
0.029552999883890152,
0.012641492299735546,
0.046745430678129196,
0.010281747207045555,
-0.00007959458162076771,
0.006390976719558239,
0.011499076150357723,
0.029609184712171555,
0.009279792197048664,
-0.01994546689093113,
-0.002874769037589431,
0.040003299713134766,
-0.0008222822798416018,
0.028110934421420097,
-0.024327849969267845,
0.08517556637525558,
-0.05127764120697975,
0.0010698448168113828,
0.037062983959913254,
0.0018681316869333386,
-0.018222477287054062,
-0.0502663217484951,
0.03234349191188812,
0.031613096594810486,
-0.008497891947627068,
0.013259520754218102,
-0.021837007254362106,
0.021218979731202126,
0.003495138604193926,
0.046670518815517426,
-0.03809303045272827,
0.025807373225688934,
-0.038654875010252,
0.00572612788528204,
0.03324244171380997,
-0.01979564130306244,
-0.04865569993853569,
0.036894429475069046,
0.0004784453776665032,
0.018606403842568398,
-0.049479737877845764,
0.013250157237052917,
0.03268060088157654,
-0.016724226996302605,
-0.055210549384355545,
-0.01819438487291336,
-0.018082017078995705,
0.00989782065153122,
-0.009963368996977806,
-0.02142498828470707,
-0.0065688942559063435,
0.03959128260612488,
-0.020619679242372513,
0.010852955281734467,
0.00867580994963646,
0.04292488843202591,
-0.0022543994709849358,
0.010272382758557796,
0.0034576822072267532,
0.011068329215049744,
0.05322536453604698,
0.0038041528314352036,
-0.01698642037808895,
-0.015544353984296322,
0.005566938780248165,
0.05416177213191986,
0.00924701802432537,
0.0010762825841084123,
0.026425400748848915,
0.006044506095349789,
0.05139000713825226,
-0.028747690841555595,
0.026818692684173584,
-0.03320498764514923,
-0.0012571262195706367,
-0.00009773746569408104,
-0.01552562601864338,
-0.0051408736035227776,
-0.0034670464228838682,
0.004649260081350803,
-0.013521715067327023,
0.016939600929617882,
0.04165137559175491,
0.027530360966920853,
-0.02444021962583065,
0.016256023198366165,
0.04120190069079399,
-0.07086727023124695,
0.027586545795202255,
-0.0502663217484951,
0.009153377264738083,
0.029908834025263786,
-0.031463269144296646,
0.007678536232560873,
0.07116691768169403,
-0.008483845740556717,
0.0025751187931746244,
-0.03932908922433853,
0.058619070798158646,
-0.018924782052636147,
-0.024702413007616997,
-0.03754991665482521,
-0.006213059648871422,
-0.03522762656211853,
0.006536119617521763,
-0.031219804659485817,
0.003216557437554002,
0.007416342385113239,
-0.029590455815196037,
0.004326199647039175,
-0.02421548217535019,
0.0041951024904847145,
0.02515188790857792,
-0.019046515226364136,
0.03625767305493355,
0.036669693887233734,
-0.03275551274418831,
0.004749923944473267,
-0.05865652486681938,
-0.02738053724169731,
0.017173701897263527,
0.05127764120697975,
-0.009673083201050758,
0.01624665968120098,
-0.009757359512150288,
-0.013793272897601128,
-0.011236881837248802,
0.014504942111670971,
-0.009265745989978313,
0.002006251597777009,
0.021837007254362106,
0.04082733765244484,
0.006746811326593161,
-0.0009908354841172695,
-0.05682116746902466,
-0.018990330398082733,
0.03251204639673233,
0.023260345682501793,
0.0021022334694862366,
-0.019196340814232826,
-0.07360158115625381,
-0.020057834684848785,
0.0019149520667269826,
-0.023784734308719635,
-0.011770633980631828,
-0.048618242144584656,
-0.006311382167041302,
0.012716405093669891,
0.01634030044078827,
-0.06697181612253189,
0.016574401408433914,
0.043112169951200485,
-0.011892367154359818,
-0.012632128782570362,
0.01898096688091755,
-0.01831611804664135,
0.004995730705559254,
-0.0010827204678207636,
0.015104242600500584,
-0.0014092923374846578,
0.039928387850522995,
-0.024870965629816055,
0.013044147752225399,
0.01315651647746563,
0.007303973659873009,
-0.032006386667490005,
-0.01225756574422121,
0.0011915777577087283,
-0.04509735479950905,
0.03936654329299927,
-0.03917926177382469,
-0.06262689083814621,
0.008661763742566109,
0.004794402979314327,
-0.0026219391729682684,
0.03492797538638115,
0.008296565152704716,
-0.01358726341277361,
0.05944310873746872,
0.008053098805248737,
0.0006309041054919362,
0.000914752425160259,
-0.020900601521134377,
0.02483350969851017,
-0.012819410301744938,
0.0051642837934195995,
-0.003836927004158497,
0.044273316860198975,
0.03172546252608299,
-0.012014100328087807,
-0.043411821126937866,
0.018297389149665833,
-0.0035794151481240988,
0.0025400035083293915,
-0.036201488226652145,
0.02397201582789421,
0.0037549915723502636,
0.004454955458641052,
-0.02241758070886135,
0.020114019513130188,
0.02841058373451233,
-0.050715796649456024,
0.03129471838474274,
-0.0026055520866066217,
-0.06109118461608887,
0.04996667057275772,
0.03219366818666458,
0.009701174683868885,
0.015188518911600113,
-0.030377037823200226,
0.0031954883597791195,
0.02562009170651436,
0.01369963213801384,
-0.037606097757816315,
0.02863532118499279,
-0.048393506556749344,
0.026556499302387238,
-0.03769974038004875,
0.003846291219815612,
0.007552121300250292,
0.013652811758220196,
0.020975513383746147,
0.03153818100690842,
-0.03625767305493355,
-0.02878514677286148,
-0.0075240288861095905,
0.02732435241341591,
0.0010879876790568233,
0.044348228722810745,
-0.010300475172698498,
-0.005824450869113207,
0.015441348776221275,
-0.03470323979854584,
-0.017979010939598083,
0.07023051381111145,
-0.004293425474315882,
-0.03631385788321495,
-0.005908727180212736,
-0.048693157732486725,
0.05442396551370621,
0.04037786275148392,
-0.030395766720175743,
-0.016995783895254135,
0.02886005863547325,
-0.029833922162652016,
0.00387204228900373,
-0.019608359783887863,
0.012903686612844467,
-0.0055997129529714584,
-0.018250569701194763,
-0.035583458840847015,
-0.03622021898627281,
0.019027788192033768,
0.006316064391285181,
0.07307719439268112,
-0.013821365311741829,
0.04756946861743927,
-0.021705910563468933,
-0.016330935060977936,
0.011030872352421284,
0.0016469055553898215,
-0.036894429475069046,
-0.04273761063814163,
0.026331759989261627,
0.008137375116348267,
-0.00834338553249836,
0.00013826631766278297,
0.030152300372719765,
0.025788644328713417,
0.000049417409172747284,
0.017117517068982124,
-0.01602192036807537,
0.0069387746043503284,
-0.009176786988973618,
0.04251287132501602,
0.003668373916298151,
-0.006451843306422234,
-0.0030784376431256533,
0.014785864390432835,
0.06416259706020355,
-0.02164972573518753,
0.03196892887353897,
-0.0008831486920826137,
-0.002554049715399742,
-0.021855736151337624,
-0.017295435070991516,
-0.07397614419460297,
-0.0029730917885899544,
0.009073782712221146,
-0.007748766802251339,
0.011143242008984089,
0.014233384281396866,
-0.011630172841250896,
0.021481173112988472,
-0.04213830828666687,
0.019215067848563194,
0.012463575229048729,
0.0462210439145565,
0.017276706174016,
0.026818692684173584,
-0.02520807273685932,
0.0052626063115894794,
-0.008240380324423313,
-0.013493622653186321,
-0.0016714861849322915,
0.03211875632405281,
-0.026425400748848915,
-0.026500314474105835,
0.010955960489809513,
-0.02174336649477482,
-0.03614530339837074,
0.04034040868282318,
0.01339061837643385,
-0.014430029317736626,
-0.027417993173003197,
-0.0006841622525826097,
0.03425376117229462,
0.012323114089667797,
-0.0058712707832455635,
0.012351206503808498,
0.012163924984633923,
0.0488804392516613,
-0.01750144362449646,
-0.0036660328041762114,
-0.0024604089558124542,
0.03756864368915558,
-0.04180120304226875,
-0.03275551274418831,
-0.011040236800909042,
0.020132746547460556,
-0.026406673714518547,
0.029833922162652016,
0.01718306541442871,
-0.03618276119232178,
-0.02468368411064148,
-0.0030222530476748943,
0.04284997656941414,
0.011639537289738655,
-0.04805640131235123,
0.006433114875108004,
0.0013589604059234262,
-0.036032937467098236,
0.006058552302420139,
-0.026725051924586296,
0.0611286386847496,
-0.009794815443456173,
0.004314494784921408,
-0.027361808344721794,
0.027455449104309082,
0.035733286291360855,
0.0023000494111329317,
0.0179977398365736,
-0.0061896494589746,
-0.017960283905267715,
-0.0018693021265789866,
-0.013090968132019043,
-0.025657547637820244,
-0.010918503627181053,
-0.008867773227393627,
0.008488528430461884,
-0.018793685361742973,
0.0030035250820219517,
-0.007851771079003811,
0.033167529851198196,
0.014401937834918499,
-0.023953286930918694,
0.021780824288725853,
-0.029983747750520706,
-0.011714450083673,
0.02754908986389637,
-0.037512458860874176,
-0.04835604876279831,
-0.017613813281059265,
-0.016892779618501663,
-0.07247789204120636,
-0.0016211543697863817,
0.04389875382184982,
-0.014102287590503693,
0.0006350008770823479,
-0.03507779911160469,
-0.013802637346088886,
-0.017445258796215057,
-0.016574401408433914,
-0.03719408065080643,
0.003907157573848963,
-0.061802852898836136,
-0.024477675557136536,
0.011611444875597954,
0.006629760377109051,
-0.08150485157966614,
0.014149107970297337,
0.01579718291759491,
0.007823679596185684,
-0.005323472898453474,
0.011002780869603157,
-0.048618242144584656,
0.006194331217557192,
0.057457923889160156,
0.005229832138866186,
0.029833922162652016,
0.03133217245340347,
-0.004096779972314835,
-0.08090554922819138,
-0.005103417206555605,
-0.0027272850275039673,
0.006999641191214323,
0.016742954030632973,
0.026256848126649857,
0.03618276119232178,
0.007893909700214863,
-0.03959128260612488,
0.0031837832648307085,
-0.025938469916582108,
-0.016583764925599098,
-0.023410171270370483,
0.01031920313835144,
0.020057834684848785,
-0.008170150220394135,
-0.006007050164043903,
-0.04030295088887215,
0.05131509527564049,
0.022061744704842567,
-0.028841331601142883,
0.013521715067327023,
-0.03498416021466255,
-0.05805722624063492,
0.05663388594985008,
-0.013137788511812687,
0.0006847475306130946,
0.004127213265746832,
0.003944613970816135,
-0.024346578866243362,
0.022623589262366295,
0.005763584282249212,
-0.00168787338770926,
0.014111651107668877,
-0.07139165699481964,
0.04640832543373108,
0.012763225473463535,
-0.010543941520154476,
0.005655897315591574
] |
The Nash Equilibrium (NE) estimation in bidding games of electricity markets
is the key concern of both generation companies (GENCOs) for bidding strategy
optimization and the Independent System Operator (ISO) for market surveillance.
However, existing methods for NE estimation in emerging modern electricity
markets (FEM) are inaccurate and inefficient because the priori knowledge of
bidding strategies before any environment changes, such as load demand
variations, network congestion, and modifications of market design, is not
fully utilized. In this paper, a Bayes-adaptive Markov Decision Process in FEM
(BAMDP-FEM) is therefore developed to model the GENCOs' bidding strategy
optimization considering the priori knowledge. A novel Multi-Agent Generative
Adversarial Imitation Learning algorithm (MAGAIL-FEM) is then proposed to
enable GENCOs to learn simultaneously from priori knowledge and interactions
with changing environments. The obtained NE is a Bayesian Nash Equilibrium
(BNE) with priori knowledge transferred from the previous environment. In the
case study, the superiority of this proposed algorithm in terms of convergence
speed compared with conventional methods is verified. It is concluded that the
optimal bidding strategies in the obtained BNE can always lead to more profits
than NE due to the effective learning from the priori knowledge. Also, BNE is
more accurate and consistent with situations in real-world markets. | [
-0.015759559348225594,
-0.055052660405635834,
-0.031868718564510345,
-0.0033326914999634027,
0.004967987537384033,
0.05151986703276634,
-0.06362703442573547,
0.03963349759578705,
-0.07610220462083817,
0.019283151254057884,
0.0025598935317248106,
-0.05626705661416054,
0.0011160721769556403,
-0.045631881803274155,
0.008652578108012676,
0.050894271582365036,
0.055825456976890564,
0.0013661965494975448,
0.0038731901440769434,
-0.034794311970472336,
-0.020773546770215034,
-0.021509544923901558,
0.03166631981730461,
0.056782256811857224,
-0.014940761961042881,
0.029918324202299118,
-0.014057564549148083,
0.015943558886647224,
-0.051961466670036316,
0.05987344682216644,
0.023110341280698776,
0.04309269040822983,
-0.016237959265708923,
-0.015603160485625267,
-0.029531924054026604,
0.021380744874477386,
0.0009677225025370717,
0.003673090599477291,
0.02897992543876171,
0.008256979286670685,
0.02128874510526657,
0.021914344280958176,
-0.053985461592674255,
-0.015952758491039276,
0.019540749490261078,
0.008772177621722221,
-0.01335836574435234,
-0.025907134637236595,
-0.002270094119012356,
-0.01770995557308197,
0.04739828035235405,
-0.029366325587034225,
-0.01806875318288803,
0.00941617600619793,
0.004376888740807772,
0.013155966065824032,
0.05777585133910179,
0.03626630827784538,
-0.022981541231274605,
-0.0036017908714711666,
0.05232946574687958,
0.006876982282847166,
-0.021675145253539085,
-0.00074347312329337,
0.00034068661625497043,
-0.041583895683288574,
0.054095860570669174,
0.02461913786828518,
0.007369181141257286,
0.020773546770215034,
-0.05387506261467934,
0.018225153908133507,
-0.05240306630730629,
-0.03028632327914238,
-0.014793561771512032,
0.019687950611114502,
0.007833779789507389,
0.03435271233320236,
0.03819830343127251,
0.052071865648031235,
0.006150184199213982,
0.08699497580528259,
-0.006320383865386248,
0.014609563164412975,
0.02187754400074482,
0.0020492947660386562,
0.006269784178584814,
-0.0715390145778656,
0.01076397206634283,
0.0029393925797194242,
-0.011739170178771019,
0.016946356743574142,
-0.047545477747917175,
0.021435944363474846,
0.012484367936849594,
0.05593585595488548,
0.0025391934905201197,
-0.02020314894616604,
-0.02528153546154499,
0.0345735102891922,
-0.019117550924420357,
-0.010708772577345371,
0.009126376360654831,
0.027084730565547943,
-0.01990874856710434,
-0.00005174986654310487,
-0.05450066179037094,
0.030562322586774826,
0.022355942055583,
0.1520572155714035,
-0.04463828727602959,
0.03256791830062866,
0.046662282198667526,
0.0650254338979721,
-0.0471038781106472,
-0.04047989845275879,
0.004100889433175325,
-0.04934867471456528,
0.0625966414809227,
-0.012843167409300804,
-0.046478282660245895,
0.02778392843902111,
0.010901971720159054,
-0.07371021062135696,
-0.052918266505002975,
0.05174066871404648,
0.04327668994665146,
0.002467893762513995,
0.05586225911974907,
0.030267922207713127,
-0.04964307323098183,
-0.004843787755817175,
-0.019227951765060425,
-0.007645180448889732,
0.00505078723654151,
0.013238766230642796,
0.03411351144313812,
-0.06484143435955048,
-0.006936782505363226,
-0.051483068615198135,
0.010570772923529148,
-0.024306338280439377,
-0.00018313703185413033,
-0.007842980325222015,
-0.009121776558458805,
0.02366233989596367,
0.00861577782779932,
0.05144627019762993,
-0.00302679231390357,
0.03483111038804054,
-0.04220949113368988,
0.055715057998895645,
0.0044205887243151665,
0.023404739797115326,
-0.017507554963231087,
-0.005147386807948351,
-0.02437993697822094,
-0.02390153892338276,
0.04162069410085678,
0.0035534908529371023,
0.01865755207836628,
0.0375543050467968,
-0.009604775346815586,
0.02932952530682087,
-0.015051161870360374,
0.04239349067211151,
0.0052163866348564625,
-0.012530367821455002,
-0.08037099242210388,
0.062265440821647644,
-0.01112277153879404,
-0.004793187603354454,
-0.034076713025569916,
0.006209983956068754,
-0.02837272733449936,
0.033285513520240784,
0.06373743712902069,
-0.026753531768918037,
0.016725556924939156,
0.000006572053734998917,
-0.024950336664915085,
-0.03094872087240219,
0.05413266271352768,
0.057150255888700485,
0.049569472670555115,
0.029403124004602432,
0.056009456515312195,
-0.04482228681445122,
0.07404141128063202,
-0.042172692716121674,
0.026845531538128853,
0.0572238527238369,
0.05519985780119896,
-0.024766337126493454,
0.07083982229232788,
-0.0056901853531599045,
-0.03238391876220703,
0.007635980378836393,
-0.023919938132166862,
-0.006085784640163183,
0.008726177737116814,
-0.01895195245742798,
0.013027166947722435,
0.007221981417387724,
0.021969543769955635,
-0.0023689940571784973,
0.025060735642910004,
-0.025373535230755806,
-0.0012707468122243881,
-0.021711943671107292,
0.00313719199039042,
-0.05343346297740936,
-0.04121589660644531,
-0.01233716867864132,
-0.0016306958859786391,
-0.005501586012542248,
-0.0005048487219028175,
-0.03661590814590454,
0.029016725718975067,
-0.004110089503228664,
-0.03166631981730461,
0.08088619261980057,
0.04165749251842499,
-0.009945174679160118,
0.01740635558962822,
0.030028723180294037,
0.009163176640868187,
0.024361537769436836,
-0.004314789082854986,
-0.01681755669414997,
-0.041289493441581726,
0.02653273195028305,
0.023404739797115326,
-0.0178847536444664,
0.025943933054804802,
-0.044859085232019424,
0.03201591968536377,
0.007355381269007921,
0.0063525838777422905,
-0.04979027435183525,
-0.035622309893369675,
-0.06936782598495483,
-0.06911022216081619,
0.019301550462841988,
0.014627962373197079,
-0.0014880961971357465,
-0.00627438398078084,
0.05251346528530121,
0.0518510676920414,
0.016495557501912117,
-0.03911830112338066,
-0.07956139743328094,
0.020552746951580048,
0.025778334587812424,
-0.032402317970991135,
0.03357991576194763,
0.03420551121234894,
0.022760741412639618,
0.04261429235339165,
-0.016072358936071396,
0.03203431889414787,
0.0602046474814415,
0.03930230066180229,
0.07371021062135696,
-0.022447941824793816,
0.060425445437431335,
0.08073899149894714,
0.01979834958910942,
-0.04585268348455429,
0.038014303892850876,
-0.025778334587812424,
-0.018381552770733833,
-0.0001611433399375528,
0.0012316468637436628,
0.005993784870952368,
-0.005285386461764574,
-0.010828372091054916,
-0.0020228447392582893,
0.016081558540463448,
0.006403183564543724,
0.030488722026348114,
0.02312874048948288,
0.06936782598495483,
-0.02796792797744274,
-0.07617580890655518,
-0.03352471441030502,
-0.005621185526251793,
-0.03560391068458557,
-0.05280786380171776,
-0.0013799964217469096,
-0.014241564087569714,
0.0399646982550621,
0.0010016474407166243,
0.0048943874426186085,
0.052918266505002975,
0.01007397472858429,
0.026459133252501488,
-0.012925966642796993,
-0.0024839937686920166,
0.009402375668287277,
0.010165974497795105,
0.030267922207713127,
0.0022631941828876734,
0.020828746259212494,
0.0014144963352009654,
-0.007189781870692968,
-0.030617522075772285,
0.05597265809774399,
0.006384783890098333,
-0.0060305846855044365,
-0.0021872944198548794,
-0.017130356281995773,
-0.004926587454974651,
-0.05564145743846893,
-0.031279921531677246,
0.06428943574428558,
0.011214771308004856,
-0.0035718909930437803,
-0.014269163832068443,
0.01568596065044403,
0.01746155507862568,
-0.0073093813844025135,
0.0006549233221448958,
0.045999880880117416,
-0.0015984958736225963,
-0.017838753759860992,
0.02956872433423996,
0.06819022446870804,
0.00597538473084569,
-0.0013799964217469096,
-0.05078386887907982,
-0.05001107230782509,
-0.035567108541727066,
-0.019117550924420357,
-0.01777435466647148,
0.03034152276813984,
-0.030746322125196457,
0.028998326510190964,
-0.004128489643335342,
0.00012556530418805778,
0.028464727103710175,
-0.006789582781493664,
-0.02379113994538784,
-0.0008573228260502219,
-0.02616473287343979,
-0.03486791253089905,
-0.062155041843652725,
-0.004583888221532106,
0.011969169601798058,
-0.005354386288672686,
0.0011287220986559987,
-0.028630327433347702,
0.015805559232831,
-0.007824580185115337,
0.03131671994924545,
-0.043423887342214584,
-0.0187771525233984,
-0.02014794945716858,
-0.06804302334785461,
-0.002677193144336343,
-0.005731585435569286,
-0.04029589891433716,
-0.019871950149536133,
0.01871275156736374,
-0.023772738873958588,
0.02520793490111828,
-0.009623175486922264,
-0.0023781938944011927,
0.038014303892850876,
0.0205711480230093,
0.015998758375644684,
0.02999192290008068,
0.01290756743401289,
0.011039971373975277,
-0.0058419848792254925,
0.030617522075772285,
-0.04703028127551079,
0.03111432120203972,
-0.05534705892205238,
0.040038298815488815,
-0.00518418662250042,
0.031868718564510345,
-0.0040985895320773125,
-0.0025966933462768793,
0.03819830343127251,
-0.025079136714339256,
0.02092074602842331,
-0.033303916454315186,
0.019154351204633713,
0.056193456053733826,
0.02224554307758808,
-0.05383826419711113,
-0.05328626558184624,
-0.012456768192350864,
-0.005607385654002428,
-0.05435346066951752,
0.04228309169411659,
-0.010156773962080479,
0.04139989614486694,
0.007369181141257286,
0.020939147099852562,
0.0012948967050760984,
-0.048502277582883835,
0.026440732181072235,
-0.06660783290863037,
0.0008774477755650878,
-0.017084356397390366,
-0.07102382183074951,
0.03207111731171608,
-0.005161186680197716,
-0.008454778231680393,
-0.033598314970731735,
-0.013790764845907688,
-0.07444620877504349,
-0.010359173640608788,
-0.01586996018886566,
-0.09729894995689392,
0.02741592936217785,
0.026698332279920578,
-0.04287188872694969,
0.0010050974087789655,
-0.0050691869109869,
0.03900790214538574,
-0.011058371514081955,
0.017617955803871155,
0.026219932362437248,
0.019448749721050262,
-0.04007509723305702,
-0.01818835362792015,
0.06255984306335449,
0.0166887566447258,
0.028722327202558517,
0.015704359859228134,
-0.042651090770959854,
-0.015419160947203636,
0.002341394079849124,
0.02044234797358513,
0.05564145743846893,
0.010561573319137096,
-0.06009424477815628,
0.03100392036139965,
-0.023643938824534416,
-0.014351963065564632,
0.0578126534819603,
0.005078386981040239,
-0.034849509596824646,
0.009255176410079002,
-0.03886070102453232,
0.04883347451686859,
0.01036837324500084,
-0.03332231566309929,
0.022024743258953094,
-0.038492701947689056,
0.03273351490497589,
0.03094872087240219,
0.02198794297873974,
-0.009843975305557251,
-0.042651090770959854,
0.054942261427640915,
0.027931129559874535,
-0.04732467979192734,
-0.009052776731550694,
0.029071925207972527,
-0.02092074602842331,
0.007769380230456591,
0.023680739104747772,
-0.0259255338460207,
-0.01216236874461174,
-0.009485175833106041,
0.03063592128455639,
0.03845590353012085,
-0.02097594551742077,
0.01311916671693325,
0.08905576914548874,
0.006499783601611853,
0.0019319950370118022,
-0.038124702870845795,
-0.08412458747625351,
0.007438180968165398,
-0.0050645871087908745,
-0.00995437428355217,
-0.04982707276940346,
0.011085971258580685,
-0.05037907138466835,
0.012263569049537182,
0.02443513832986355,
0.007382981013506651,
0.02485833689570427,
-0.038713499903678894,
-0.00951277557760477,
-0.0780894011259079,
-0.01787555404007435,
-0.01854715310037136,
0.035493507981300354,
-0.002888792660087347,
-0.00858817808330059,
0.029108725488185883,
-0.03790390491485596,
0.04213589057326317,
-0.026219932362437248,
0.037167906761169434,
-0.017075156792998314,
0.02163834497332573,
0.0039053899236023426,
0.05457426235079765,
-0.0008912477060221136,
0.0032498918008059263,
0.0363583080470562,
-0.003859390038996935,
0.020534347742795944,
-0.001729595591314137,
0.05144627019762993,
0.0028519926127046347,
0.0012074969708919525,
0.015943558886647224,
0.028243927285075188,
-0.0020734446588903666,
-0.011573570780456066,
0.037223104387521744,
0.02491353638470173,
0.03004712238907814,
-0.015842359513044357,
0.0160907581448555,
0.04669908061623573,
-0.008592777885496616,
0.041289493441581726,
0.015308761037886143,
0.002241344191133976,
0.05030547082424164,
-0.012281968258321285,
-0.030488722026348114,
0.05203506723046303,
-0.04548468440771103,
-0.06944142282009125,
-0.012465967796742916,
0.001922795083373785,
-0.00974277500063181,
0.02283434197306633,
-0.009135576896369457,
-0.013965564779937267,
-0.027213530614972115,
0.04566868394613266,
0.0037006905768066645,
-0.010064774192869663,
-0.02104954607784748,
-0.00594778498634696,
0.04864947497844696,
0.000475523789646104,
0.036395106464624405,
0.0339847132563591,
0.0030658922623842955,
0.019835149869322777,
0.01998234912753105,
-0.01913595199584961,
-0.01069957297295332,
-0.005892585031688213,
-0.007520980667322874,
-0.0602046474814415,
0.005478586070239544,
-0.030746322125196457,
0.01764555461704731,
-0.007083981763571501,
0.022815940901637077,
-0.03350631520152092,
0.02765513025224209,
0.022631941363215446,
0.008243178948760033,
-0.00515658687800169,
-0.02837272733449936,
0.015704359859228134,
-0.015253560617566109,
0.018970351666212082,
-0.010193574242293835,
0.0031946918461471796,
-0.01093877200037241,
0.03304631635546684,
-0.0022574441973119974,
0.024159139022231102,
-0.03845590353012085,
-0.007548580877482891,
-0.020939147099852562,
-0.011610370129346848,
0.04095829650759697,
0.037646304816007614,
0.0560462586581707,
0.005501586012542248,
0.004825387615710497,
-0.004448188468813896,
0.014876361936330795,
-0.034315913915634155,
0.008399578742682934,
0.03367191553115845,
-0.02717673033475876,
-0.01871275156736374,
-0.018326353281736374,
-0.010009574703872204,
0.0037006905768066645,
-0.011380370706319809,
0.05575185641646385,
-0.05641425773501396,
0.042172692716121674,
0.015649160370230675,
0.013790764845907688,
-0.0029807924292981625,
-0.013367566280066967,
0.012024369090795517,
0.036579106003046036,
-0.0004108364519197494,
0.004595388192683458,
-0.026035932824015617,
0.05442706122994423,
0.014848762191832066,
0.023570340126752853,
-0.040443096309900284,
0.05214546620845795,
-0.01579635962843895,
-0.03731510415673256,
-0.0032682917080819607,
-0.011049171909689903,
-0.020773546770215034,
0.049753472208976746,
-0.01189556997269392,
0.015566360205411911,
0.003512091003358364,
0.025888733565807343,
0.04452788457274437,
-0.00248169363476336,
-0.040516696870326996,
-0.013082366436719894,
0.004020389635115862,
0.054279860109090805,
0.00014310276310425252,
-0.018160752952098846,
0.008325979113578796,
0.03904470056295395,
-0.05479506030678749,
-0.01356076542288065,
0.04316629096865654,
0.048612676560878754,
0.022558342665433884,
0.004328588955104351,
-0.007580780424177647,
-0.026459133252501488,
0.04997427389025688,
-0.0018629952101036906,
-0.04401268810033798,
0.012686767615377903,
-0.0049035875126719475,
0.007208181545138359,
-0.011417170986533165,
-0.061198242008686066,
-0.0019883448258042336,
0.025502335280179977,
0.02366233989596367,
-0.02110474556684494,
-0.015529559925198555,
-0.0071299816481769085,
-0.012051968835294247,
0.01854715310037136,
-0.0011189471697434783,
0.005809785332530737,
0.0069781821221113205,
0.03867670148611069,
-0.02397513948380947,
0.041583895683288574,
-0.00452868826687336,
0.006449183449149132,
0.006692982744425535,
0.05317586287856102,
0.014011564664542675,
-0.028722327202558517,
-0.006784982513636351,
-0.016826756298542023,
0.03661590814590454,
0.031611118465662,
-0.024011937901377678,
0.04507988318800926,
0.06819022446870804,
-0.01072717271745205,
-0.03751750290393829,
-0.034426312893629074,
0.026661531999707222,
-0.016191959381103516,
-0.045153483748435974,
-0.025778334587812424,
-0.01812395453453064,
-0.026091134175658226,
-0.0032406917307525873,
-0.026624731719493866,
0.02020314894616604,
0.016587557271122932,
-0.04809747636318207,
0.03624790906906128,
-0.04213589057326317,
0.042062293738126755,
0.017314355820417404,
-0.012125569395720959,
0.024895137175917625,
-0.015124761499464512,
0.024729536846280098,
0.003394791390746832,
-0.013634365051984787,
0.030451921746134758,
0.014940761961042881,
0.021086346358060837,
-0.02248474210500717,
0.018317153677344322,
-0.007382981013506651,
0.0024770935997366905,
-0.016228757798671722,
0.0001640183327253908,
0.054942261427640915,
-0.010819172486662865,
0.0009464476024731994,
-0.017001556232571602,
-0.00272779306396842,
0.02647753246128559,
-0.05232946574687958,
-0.042430292814970016,
-0.006577983032912016,
0.06086704507470131,
0.017489155754446983,
-0.025483934208750725,
-0.01961435005068779,
0.006508983206003904,
0.023239141330122948,
-0.013707964681088924,
0.00820177886635065,
-0.044564686715602875,
-0.009678374975919724,
0.020589547231793404,
-0.02312874048948288,
-0.053323063999414444,
0.025741534307599068,
0.06406863778829575,
-0.009209176525473595,
-0.02517113648355007,
0.038308702409267426,
0.013818364590406418,
0.003555790986865759,
0.023220740258693695,
0.027287131175398827,
0.027139930054545403,
0.010662772692739964,
-0.009935975074768066,
0.025318335741758347,
0.017029156908392906,
0.013661964796483517,
0.003769690403714776,
0.0031417920254170895,
0.02068154700100422,
-0.004475788678973913,
0.05932144820690155,
-0.019099151715636253,
-0.014121963642537594,
0.014738362282514572,
0.03063592128455639,
-0.03243911638855934,
0.008661777712404728,
0.007594580762088299,
-0.0032199916895478964,
0.004328588955104351,
-0.006113384384661913,
0.022153543308377266,
0.01865755207836628,
-0.015419160947203636,
0.003017592243850231,
-0.014443962834775448,
0.002962392522022128,
0.012649967335164547,
0.029918324202299118,
0.014333563856780529,
0.002075744792819023,
-0.03302791714668274,
-0.03569591045379639,
-0.008086779154837132,
-0.004300989210605621,
-0.006398583762347698,
0.028041528537869453,
0.029403124004602432,
-0.016173558309674263,
0.0032935915514826775,
0.01150917075574398,
0.026679931208491325,
-0.03372711315751076,
0.012502768076956272,
0.026311932131648064,
-0.038308702409267426,
0.04662548005580902,
0.030212722718715668,
-0.02443513832986355,
-0.0471038781106472,
-0.01379996445029974,
0.03495991230010986,
0.01290756743401289,
0.022668741643428802,
0.003424691269174218,
-0.00010730910435086116,
-0.04721428081393242,
0.00004484988676267676,
-0.027452729642391205,
0.02320234104990959,
-0.03047032281756401,
-0.011867969296872616,
-0.0435342900454998,
-0.04279829189181328,
-0.03369031473994255,
-0.019651150330901146,
0.015400760807096958,
0.010055574588477612,
0.017075156792998314,
0.028280727565288544,
0.01782035455107689,
-0.028814326971769333,
0.055825456976890564,
-0.015419160947203636,
-0.037940703332424164,
0.05358066409826279,
-0.012815567664802074,
-0.029734324663877487,
-0.021307146176695824,
-0.06094064563512802,
-0.011095171794295311,
-0.011969169601798058,
-0.06105104461312294,
0.0217671450227499,
-0.0012431468348950148,
-0.001685895724222064,
0.014977561309933662,
-0.004714988172054291,
0.03409511223435402,
0.03797750174999237,
-0.0656142309308052,
0.011214771308004856,
-0.07536620646715164,
0.031390320509672165,
-0.04364468902349472,
0.048023875802755356,
-0.023349540308117867,
0.03904470056295395,
-0.011656370013952255,
0.003479891223832965,
-0.017213156446814537,
0.004346989095211029,
-0.029826324433088303,
-0.013809164986014366,
0.031132720410823822,
-0.0181791540235281,
-0.0018158453749492764,
-0.007106981705874205,
0.014434763230383396,
0.03058072179555893,
0.024527138099074364,
0.004737988114356995,
-0.015060361474752426,
-0.03608230873942375,
0.02844632789492607,
0.061014242470264435,
0.01072717271745205,
-0.0055199856869876385,
-0.0023425440303981304,
0.012245168909430504,
0.04139989614486694,
-0.028998326510190964,
0.05836465209722519,
0.01712115667760372,
-0.023919938132166862,
-0.016495557501912117,
-0.0030957921408116817,
-0.06329584121704102,
0.019540749490261078,
0.04555828496813774,
-0.002493193605914712,
0.06355343759059906,
-0.01687275618314743,
-0.038492701947689056,
-0.008063779212534428,
0.006932182237505913,
0.002414993941783905,
-0.04511668533086777,
-0.0033786913845688105,
-0.0007014981820248067,
0.03597190976142883,
-0.013036366552114487,
0.001135047059506178,
0.0037420904263854027,
-0.027949528768658638,
-0.032052718102931976,
-0.036211106926202774,
-0.03140871971845627,
-0.008417978882789612,
0.02206154353916645,
-0.03010232374072075,
-0.003831790294498205,
0.017801955342292786,
0.009577175602316856,
-0.02610953338444233,
-0.054758261889219284,
0.04982707276940346,
0.04669908061623573,
-0.005961584858596325,
0.006403183564543724,
0.04390228912234306,
-0.014830362051725388,
0.0679694265127182,
-0.043423887342214584,
0.019356749951839447,
0.0004873112484347075,
-0.007056382019072771,
-0.013183566741645336,
0.020239949226379395,
0.0017525955336168408,
0.038492701947689056,
-0.032457515597343445,
0.02539193443953991,
0.01734195649623871,
-0.013634365051984787,
-0.020258348435163498,
-0.011619570665061474,
0.03254951536655426,
0.03558550775051117,
0.021067945286631584,
-0.026127932593226433,
0.013247965835034847,
-0.008381178602576256,
0.008270778693258762,
0.002621993189677596,
0.0560462586581707,
-0.011196371167898178,
0.006265183910727501,
-0.033782314509153366,
0.04673587903380394,
0.03265991806983948,
0.011941569857299328,
0.02163834497332573,
0.016375958919525146,
-0.030120722949504852,
-0.008270778693258762,
0.005874184891581535,
0.007189781870692968,
-0.030856721103191376,
-0.04040629789233208,
0.03497831150889397,
0.004289489239454269,
0.025134336203336716,
0.026992730796337128,
0.05104146897792816,
-0.0181791540235281,
-0.04154709354043007,
0.0357695072889328,
-0.018620751798152924,
0.00009846849570749328,
0.023147141560912132,
-0.0002958367404062301,
-0.06870542466640472,
0.0014236964052543044,
-0.03775670379400253,
-0.04029589891433716,
0.02868552692234516,
0.04614708200097084,
0.026735132560133934,
0.016605958342552185,
-0.062339041382074356,
-0.005662585608661175,
-0.012254368513822556,
-0.001489246147684753,
-0.026127932593226433,
-0.006278983782976866,
-0.051188670098781586,
-0.0160999596118927,
0.018519552424550056,
-0.037351906299591064,
-0.02224554307758808,
0.020663147792220116,
-0.010009574703872204,
0.019577549770474434,
0.005924785044044256,
0.017921553924679756,
-0.038124702870845795,
0.018878351897001266,
0.05924784764647484,
0.03963349759578705,
0.07521900534629822,
0.02360714040696621,
-0.008114378899335861,
-0.043423887342214584,
0.007842980325222015,
-0.0214543454349041,
0.010202773846685886,
0.028096728026866913,
0.002186144469305873,
0.0025621934328228235,
-0.011913969181478024,
-0.02051594853401184,
0.001170697039924562,
0.00411468930542469,
-0.009880774654448032,
-0.03930230066180229,
0.06671822816133499,
-0.018252752721309662,
-0.02198794297873974,
0.012171569280326366,
-0.010819172486662865,
-0.007111581973731518,
-0.005174987018108368,
-0.010018774308264256,
0.021435944363474846,
0.04007509723305702,
-0.03503350913524628,
0.04246709123253822,
-0.015051161870360374,
-0.01052477303892374,
-0.0017721455078572035,
0.019467150792479515,
-0.04905427619814873,
0.02443513832986355,
0.0002483993594069034,
0.014048364013433456,
0.002771492814645171,
-0.040811095386743546,
0.026606332510709763,
-0.016421958804130554,
-0.010046374052762985,
-0.035327911376953125
] |
Deep learning-based recommendation systems (e.g., DLRMs) are widely used AI
models to provide high-quality personalized recommendations. Training data used
for modern recommendation systems commonly includes categorical features taking
on tens-of-millions of possible distinct values. These categorical tokens are
typically assigned learned vector representations, that are stored in large
embedding tables, on the order of 100s of GB. Storing and accessing these
tables represent a substantial burden in commercial deployments. Our work
proposes MEM-REC, a novel alternative representation approach for embedding
tables. MEM-REC leverages bloom filters and hashing methods to encode
categorical features using two cache-friendly embedding tables. The first table
(token embedding) contains raw embeddings (i.e. learned vector representation),
and the second table (weight embedding), which is much smaller, contains
weights to scale these raw embeddings to provide better discriminative
capability to each data point. We provide a detailed architecture, design and
analysis of MEM-REC addressing trade-offs in accuracy and computation
requirements, in comparison with state-of-the-art techniques. We show that
MEM-REC can not only maintain the recommendation quality and significantly
reduce the memory footprint for commercial scale recommendation models but can
also improve the embedding latency. In particular, based on our results,
MEM-REC compresses the MLPerf CriteoTB benchmark DLRM model size by 2900x and
performs up to 3.4x faster embeddings while achieving the same AUC as that of
the full uncompressed model. | [
-0.009589326567947865,
-0.020103784278035164,
-0.03714752197265625,
-0.0243736132979393,
0.07240920513868332,
0.023484066128730774,
-0.018120091408491135,
0.015976281836628914,
-0.018965162336826324,
0.023555230349302292,
0.02024611085653305,
-0.020103784278035164,
-0.0341942235827446,
-0.022274279966950417,
0.011893256567418575,
0.001290956512093544,
-0.007756858132779598,
-0.0012831729836761951,
-0.028091924265027046,
-0.024747224524617195,
0.007939215749502182,
-0.01342327892780304,
0.015344702638685703,
-0.03006672114133835,
0.06692958623170853,
0.03611564636230469,
-0.022612309083342552,
-0.021687179803848267,
-0.04504670947790146,
0.03641809523105621,
0.01973017305135727,
0.012142329476773739,
-0.011733138002455235,
-0.06109415367245674,
-0.0876738503575325,
-0.009820609353482723,
0.08354634046554565,
0.06970497965812683,
-0.005154930520802736,
0.026793183758854866,
0.0135656064376235,
0.022630099207162857,
-0.08525427430868149,
0.03195256367325783,
0.02846553549170494,
-0.005902150645852089,
-0.020388439297676086,
-0.02999555692076683,
-0.0017168275080621243,
-0.05547221004962921,
0.010790216736495495,
-0.04942328482866287,
0.025014089420437813,
-0.025031879544258118,
-0.050099339336156845,
0.009980727918446064,
0.042982958257198334,
0.03175686299800873,
0.06308674067258835,
0.03629355505108833,
-0.018413642421364784,
0.0031334327068179846,
0.0005565234459936619,
-0.03627576678991318,
-0.06283766776323318,
-0.005599704571068287,
0.003311342326924205,
0.001245367107912898,
0.03227280080318451,
-0.01937435381114483,
-0.0809844434261322,
-0.011581914499402046,
0.0283054169267416,
-0.038072653114795685,
-0.003882876830175519,
0.02291475608944893,
0.0245693139731884,
0.0021793923806399107,
0.022238699719309807,
0.025209788233041763,
0.08169608563184738,
0.03914010897278786,
0.05301705747842789,
0.03641809523105621,
0.08304819464683533,
-0.02862565405666828,
0.005991105455905199,
-0.05184285342693329,
-0.053479623049497604,
-0.01628762297332287,
-0.03620460256934166,
-0.004507784266024828,
0.026401784271001816,
-0.02044181153178215,
-0.028679026290774345,
0.011208304204046726,
-0.0688154324889183,
0.010034101083874702,
-0.04689696803689003,
0.05091772601008415,
-0.03949593007564545,
-0.034300968050956726,
0.010469979606568813,
-0.014953301288187504,
0.029141591861844063,
-0.0253521166741848,
-0.018191255629062653,
0.020548557862639427,
-0.024818388745188713,
0.05565011873841286,
0.01820015162229538,
-0.0463988222181797,
-0.02794959768652916,
0.029372872784733772,
-0.020032620057463646,
-0.004701260942965746,
-0.07792440056800842,
-0.04437065124511719,
0.008588585071265697,
-0.036382511258125305,
-0.004171980079263449,
-0.005790957249701023,
-0.012800594791769981,
0.022630099207162857,
-0.022345444187521935,
0.05486731976270676,
0.0031045223586261272,
0.005621943157166243,
0.0491386279463768,
0.024622688069939613,
-0.003991846460849047,
0.018191255629062653,
-0.012177911587059498,
-0.048925139009952545,
0.005074871238321066,
0.002555226441472769,
0.05483173578977585,
0.03981616720557213,
-0.01787101849913597,
-0.01200889702886343,
-0.03535063564777374,
-0.041025951504707336,
-0.0499214306473732,
-0.030956268310546875,
-0.0128717590123415,
-0.026437364518642426,
-0.039887331426143646,
0.0341942235827446,
-0.03817939758300781,
-0.008695331402122974,
-0.05849667266011238,
0.015558193437755108,
0.015362492762506008,
0.06155671924352646,
0.002715345239266753,
0.0007700149435549974,
-0.015495925210416317,
-0.029461828991770744,
0.012053375132381916,
0.017408452928066254,
0.043303195387125015,
-0.028981473296880722,
0.030280211940407753,
0.03230838105082512,
0.017995554953813553,
0.05259007588028908,
0.028785772621631622,
-0.039602674543857574,
-0.0876738503575325,
0.05073981732130051,
-0.004879170563071966,
0.02912379987537861,
-0.01210674736648798,
0.021509269252419472,
-0.013752411119639874,
0.04646998643875122,
0.0750778466463089,
-0.043018538504838943,
-0.04216457158327103,
-0.012845072895288467,
-0.004320979118347168,
0.031276505440473557,
0.08013048022985458,
-0.00430541206151247,
0.041097115725278854,
0.03471016138792038,
0.02983543835580349,
0.012649372220039368,
0.011626391671597958,
-0.004349889699369669,
0.006676057353615761,
0.06625353544950485,
-0.0007416605949401855,
0.045900676399469376,
0.01184877846390009,
-0.033233512192964554,
-0.05451149865984917,
-0.012729431502521038,
0.0013543367385864258,
-0.014019276015460491,
-0.05291031301021576,
-0.06874426454305649,
-0.004941438790410757,
-0.023537438362836838,
0.016848038882017136,
-0.002737583825364709,
0.0408836230635643,
-0.010372129268944263,
-0.002213862491771579,
-0.03447888046503067,
0.0011208304204046726,
-0.0078636035323143,
-0.06632469594478607,
-0.035439591854810715,
0.013378800824284554,
0.03006672114133835,
-0.05280356854200363,
-0.03721868619322777,
-0.04422832280397415,
0.01618977263569832,
-0.0009518163278698921,
-0.023911049589514732,
0.0789918601512909,
-0.004461083095520735,
0.01608302630484104,
-0.023181619122624397,
-0.016759082674980164,
0.024231286719441414,
-0.01578947715461254,
-0.018093405291438103,
0.02229207195341587,
-0.018111197277903557,
-0.02099333144724369,
-0.03159674257040024,
0.031703490763902664,
-0.04682580381631851,
-0.02905263565480709,
-0.07386806607246399,
-0.06735657155513763,
0.026739811524748802,
-0.011795406229794025,
0.060204606503248215,
-0.025636771693825722,
-0.0006616013124585152,
0.04810675233602524,
-0.0024640478659421206,
-0.05337287858128548,
0.03239733725786209,
0.0034336550161242485,
0.00689844461157918,
-0.008375094272196293,
-0.008833210915327072,
0.01230244804173708,
0.0028888070955872536,
-0.0013154190964996815,
0.06582655012607574,
0.069954052567482,
-0.025921426713466644,
0.009704967960715294,
-0.04611416533589363,
0.031543370336294174,
-0.01264047622680664,
-0.00031551154097542167,
-0.010781321674585342,
-0.004985916428267956,
0.04344552382826805,
0.06789030134677887,
-0.03278873860836029,
0.022630099207162857,
0.031632326543331146,
0.027504822239279747,
-0.0320415161550045,
-0.03903336450457573,
-0.029461828991770744,
0.00890437513589859,
-0.03351816534996033,
-0.021562643349170685,
-0.04383692517876625,
0.03172127902507782,
-0.007525575812906027,
0.0471816249191761,
0.002577465260401368,
-0.004936991259455681,
0.03093847818672657,
0.0011797629995271564,
-0.007476650644093752,
0.001911416184157133,
-0.037716832011938095,
-0.05283914878964424,
-0.01855597086250782,
-0.03506597876548767,
0.00478576822206378,
-0.02940845489501953,
0.012613790109753609,
0.034532252699136734,
0.010843589901924133,
-0.008206079714000225,
0.023163828998804092,
0.0192676093429327,
-0.08297703415155411,
-0.04344552382826805,
0.0324329175055027,
0.02912379987537861,
0.012320239096879959,
-0.02024611085653305,
-0.0034647893626242876,
-0.05625501275062561,
0.04985026642680168,
-0.035048190504312515,
-0.030831731855869293,
0.027931805700063705,
0.0279140155762434,
0.028554489836096764,
-0.049779102206230164,
-0.02063751220703125,
0.04504670947790146,
0.017657527700066566,
-0.010158637538552284,
-0.019232027232646942,
-0.048925139009952545,
0.02882135473191738,
-0.0029977767262607813,
-0.11158489435911179,
-0.0011808748822659254,
-0.0009807266760617495,
-0.011484064161777496,
0.003827280132099986,
0.06294441223144531,
0.03588436543941498,
0.037681251764297485,
-0.057607125490903854,
-0.023359529674053192,
-0.03234396502375603,
0.014214976690709591,
-0.04248480871319771,
-0.007369904778897762,
-0.0028465534560382366,
0.0050437371246516705,
-0.011742033064365387,
-0.01758636347949505,
-0.02661527507007122,
-0.00404744315892458,
-0.019000744447112083,
0.023021500557661057,
0.011074871756136417,
0.0036249079275876284,
-0.06589771062135696,
0.01589622162282467,
-0.020530767738819122,
-0.03711194172501564,
0.0011047073639929295,
-0.012151225470006466,
0.028091924265027046,
0.033358048647642136,
0.06297999620437622,
0.003302446799352765,
0.019943665713071823,
0.02040622942149639,
-0.030529286712408066,
0.03978058323264122,
-0.014864346012473106,
-0.01301408652216196,
-0.054974064230918884,
0.02181171625852585,
-0.016305414959788322,
-0.004919200204312801,
0.007387695834040642,
0.030564866960048676,
0.037752415984869,
0.025974800810217857,
-0.014357304200530052,
-0.029657529667019844,
-0.026437364518642426,
0.008962195366621017,
-0.026633065193891525,
-0.022114161401987076,
0.03581320121884346,
-0.04024314880371094,
0.015531507320702076,
0.049779102206230164,
0.021082285791635513,
0.004067458212375641,
-0.04504670947790146,
-0.0018969610100612044,
0.02928391844034195,
-0.006155672017484903,
0.025601189583539963,
-0.00921571720391512,
-0.04493996128439903,
0.0023083770647644997,
0.0475730262696743,
-0.055009644478559494,
0.004790215753018856,
-0.05483173578977585,
0.018538178876042366,
0.010060787200927734,
0.025387698784470558,
0.05180727317929268,
0.008126020431518555,
-0.017693107947707176,
-0.03906894475221634,
-0.012133434414863586,
-0.057180143892765045,
0.029906602576375008,
-0.011688659898936749,
-0.03211268037557602,
0.06781913340091705,
-0.0404922217130661,
0.061663463711738586,
-0.03412305936217308,
-0.008766494691371918,
-0.024124540388584137,
-0.026668647304177284,
0.01855597086250782,
-0.022896964102983475,
-0.006480356678366661,
-0.062446266412734985,
-0.01806671917438507,
0.01836027018725872,
0.004183099139481783,
-0.03116976097226143,
0.008864345028996468,
0.023964421823620796,
0.0023795408196747303,
0.008975538425147533,
0.04739511385560036,
-0.033553749322891235,
0.003589326050132513,
0.018378060311079025,
-0.0194633100181818,
0.011208304204046726,
0.017790958285331726,
0.007716828491538763,
-0.049707941710948944,
-0.03058265894651413,
0.03672054037451744,
0.008068200200796127,
0.028785772621631622,
-0.062410686165094376,
-0.032219428569078445,
-0.007774649187922478,
-0.009918459691107273,
-0.013414382934570312,
0.00035637515247799456,
-0.03682728484272957,
-0.009562640450894833,
-0.005137139465659857,
0.00083673105109483,
-0.04614974930882454,
-0.02567235380411148,
-0.0947190672159195,
0.02668643929064274,
-0.05472499132156372,
-0.053444042801856995,
0.05853225663304329,
-0.04764418676495552,
0.02723795920610428,
-0.00587546406313777,
-0.04198666289448738,
-0.04198666289448738,
-0.00017999447300098836,
0.03967383876442909,
0.022861381992697716,
-0.004945886787027121,
-0.009224612265825272,
0.04269830137491226,
-0.04775093495845795,
-0.0029555230867117643,
-0.010550038889050484,
0.0007789104129187763,
0.005893255118280649,
0.034461088478565216,
0.021438105031847954,
-0.010461083613336086,
-0.0067338780499994755,
-0.02912379987537861,
0.04792884364724159,
-0.030831731855869293,
0.00016331544611603022,
0.013592292554676533,
0.025458863005042076,
0.042627137154340744,
-0.0135656064376235,
0.01304966863244772,
0.016029654070734978,
0.02908821776509285,
0.001922535477206111,
0.01901853457093239,
0.03796590864658356,
-0.02134915068745613,
-0.013752411119639874,
0.026170501485466957,
-0.019160863012075424,
-0.010603412054479122,
-0.03675612062215805,
-0.007605635095387697,
-0.007530023343861103,
-0.021011123433709145,
0.048604901880025864,
0.003607116872444749,
-0.021918462589383125,
0.03817939758300781,
-0.0031045223586261272,
0.0339985229074955,
-0.03793032467365265,
0.02311045676469803,
0.011386213824152946,
0.020032620057463646,
-0.05326613038778305,
-0.013467756099998951,
0.030991850420832634,
0.037681251764297485,
0.0314544141292572,
-0.008383989334106445,
-0.005315049085766077,
-0.0013865828514099121,
0.003115641651675105,
-0.03672054037451744,
0.019000744447112083,
0.013752411119639874,
-0.015638252720236778,
0.041452933102846146,
-0.022861381992697716,
0.042911794036626816,
-0.056397341191768646,
0.029266128316521645,
0.0316501148045063,
-0.01301408652216196,
0.11428911983966827,
-0.05924389511346817,
-0.015967385843396187,
0.010763530619442463,
0.010612307116389275,
-0.036969613283872604,
-0.016002967953681946,
0.015522612258791924,
0.04917421191930771,
0.00679169874638319,
-0.00882431585341692,
-0.008486287668347359,
0.0036249079275876284,
0.01000741496682167,
0.010452188551425934,
0.0188762079924345,
-0.03789474442601204,
-0.014615273103117943,
0.04867606237530708,
-0.06703633069992065,
-0.01608302630484104,
-0.007111935876309872,
0.004665678832679987,
-0.013272055424749851,
-0.02134915068745613,
-0.026899930089712143,
-0.0010730172507464886,
-0.003731653792783618,
0.0034670131281018257,
-0.02216753549873829,
-0.004977020900696516,
-0.017728690057992935,
-0.005039289128035307,
-0.004316531587392092,
-0.014722018502652645,
-0.011626391671597958,
0.023555230349302292,
-0.01423276774585247,
0.025209788233041763,
0.025601189583539963,
0.03061824105679989,
-0.013441069982945919,
-0.028056342154741287,
-0.02853669784963131,
-0.011395108886063099,
-0.013361010700464249,
-0.06660935282707214,
0.017052633687853813,
-0.0030845075380057096,
-0.025725726038217545,
0.010354338213801384,
0.05693107098340988,
0.03506597876548767,
-0.029034845530986786,
0.05326613038778305,
0.03828614577651024,
0.02924833633005619,
0.03817939758300781,
-0.019872501492500305,
-0.043303195387125015,
0.02394663169980049,
-0.0020515199285000563,
0.017630839720368385,
0.059813205152750015,
-0.02433803118765354,
-0.007645664736628532,
-0.03236175328493118,
-0.026348410174250603,
0.013610083609819412,
-0.020530767738819122,
0.03396294265985489,
-0.033785030245780945,
-0.015380283817648888,
0.026882139965891838,
0.011617496609687805,
0.03650704771280289,
0.010389920324087143,
-0.02983543835580349,
0.06557747721672058,
-0.004732395056635141,
0.0027954045217484236,
-0.00623128330335021,
-0.05995553359389305,
-0.027415867894887924,
0.04646998643875122,
0.021046705543994904,
-0.0017568572657182813,
0.009251298382878304,
0.0460074208676815,
-0.0013232026249170303,
-0.01696367934346199,
-0.0053817653097212315,
0.03632913902401924,
-0.009126761928200722,
0.05433358997106552,
0.0029332845006138086,
-0.03366049379110336,
0.008308378048241138,
0.014455154538154602,
-0.012960713356733322,
0.01751519925892353,
0.006867310032248497,
-0.02798517793416977,
-0.024462569504976273,
-0.006013344042003155,
-0.022505562752485275,
0.0038539664819836617,
0.010772425681352615,
-0.016429951414465904,
0.009642699733376503,
0.05436917021870613,
0.0074099344201385975,
-0.017959972843527794,
0.018191255629062653,
-0.011688659898936749,
0.04792884364724159,
-0.009500372223556042,
-0.0020848780404776335,
0.01810230128467083,
0.008401780389249325,
0.03757450729608536,
0.029550783336162567,
-0.0004886953975073993,
0.03946034610271454,
0.0005456820945255458,
0.04227131977677345,
0.006902892142534256,
-0.021260196343064308,
0.025957008823752403,
-0.012720535509288311,
0.0420578271150589,
0.007120831403881311,
0.008361751213669777,
0.055329881608486176,
-0.012177911587059498,
-0.024355823174118996,
0.0518784373998642,
-0.03298443928360939,
-0.021011123433709145,
0.0038472949527204037,
0.027807269245386124,
0.023128246888518333,
0.0015433656517416239,
-0.021918462589383125,
-0.08617940545082092,
-0.010203114710748196,
0.008166050538420677,
-0.04803558811545372,
0.026472946628928185,
0.030849523842334747,
0.002728688297793269,
0.0137613071128726,
-0.03350037708878517,
-0.022630099207162857,
-0.01660786010324955,
0.022007416933774948,
-0.01930319145321846,
-0.018733879551291466,
-0.04340993985533714,
0.024818388745188713,
-0.031828027218580246,
0.017239440232515335,
-0.0058710165321826935,
-0.042520392686128616,
0.0467902235686779,
-0.005208303220570087,
-0.00016804116603452712,
0.018733879551291466,
-0.019125280901789665,
-0.022861381992697716,
-0.014455154538154602,
-0.0068361759185791016,
-0.014899928122758865,
0.01350333821028471,
-0.000056430697441101074,
0.019214235246181488,
0.001823573256842792,
0.020975541323423386,
-0.0035359531175345182,
-0.009678281843662262,
-0.032486289739608765,
0.023163828998804092,
0.005141586996614933,
-0.012142329476773739,
0.0067472211085259914,
0.0190719086676836,
0.017702003940939903,
0.010879171080887318,
-0.006253522355109453,
0.018022241070866585,
-0.02567235380411148,
0.0019481100607663393,
-0.0014166050823405385,
0.027664940804243088,
0.053764279931783676,
-0.07963233441114426,
0.004674574360251427,
0.020566347986459732,
0.03718310594558716,
0.020584139972925186,
-0.006413640920072794,
-0.005377317313104868,
0.007543366868048906,
-0.005448481068015099,
-0.026277245953679085,
-0.011973315849900246,
-0.009482581168413162,
0.012925132177770138,
-0.03495923429727554,
0.024035586044192314,
-0.006636027712374926,
-0.010318756103515625,
-0.00021877320250496268,
-0.015753895044326782,
-0.019587846472859383,
-0.02892809920012951,
0.010140846483409405,
0.002441809047013521,
0.013983693905174732,
0.016296518966555595,
-0.05027725175023079,
0.0023372871801257133,
0.01774648204445839,
0.017408452928066254,
0.05056190490722656,
-0.043338775634765625,
-0.10909415781497955,
0.01898295432329178,
0.026152709499001503,
0.0077346195466816425,
0.029621947556734085,
-0.031063014641404152,
-0.0006082284380681813,
0.02697109431028366,
-0.019214235246181488,
0.003057821188122034,
0.05262565612792969,
0.0097316550090909,
-0.017399558797478676,
-0.018805043771862984,
-0.00632913364097476,
-0.027771687135100365,
0.022736845538020134,
0.022114161401987076,
0.012426985427737236,
-0.009918459691107273,
0.0017379543278366327,
-0.024071168154478073,
0.01774648204445839,
0.02882135473191738,
-0.03757450729608536,
0.04689696803689003,
0.00815715454518795,
0.045224618166685104,
0.02394663169980049,
0.04721720516681671,
-0.023359529674053192,
0.022985918447375298,
0.027095630764961243,
0.005168273579329252,
0.025458863005042076,
0.025530027225613594,
0.019054116681218147,
-0.02063751220703125,
0.03390956670045853,
0.023875467479228973,
0.03753892332315445,
0.01566493883728981,
0.025636771693825722,
-0.04960119351744652,
0.016483323648571968,
-0.034105267375707626,
0.03764566779136658,
0.0006137880845926702,
0.015967385843396187,
0.07486435770988464,
-0.06493700295686722,
0.04700371250510216,
0.02366197481751442,
0.013610083609819412,
0.0000027581199901760556,
0.029906602576375008,
0.029390664771199226,
0.04849815368652344,
-0.03179244324564934,
0.013983693905174732,
0.05259007588028908,
-0.0420578271150589,
-0.03935360163450241,
0.022114161401987076,
-0.010131951421499252,
-0.01914307288825512,
0.02319941110908985,
-0.022772427648305893,
-0.015300224535167217,
-0.01319199614226818,
-0.016483323648571968,
-0.01664344221353531,
0.008784285746514797,
0.04002965986728668,
0.012551521882414818,
-0.008846553973853588,
0.04305412247776985,
-0.026722021400928497,
0.023021500557661057,
0.008108229376375675,
0.00013287623005453497,
0.062090449035167694,
-0.0007466643000952899,
0.000011171471669513267,
0.033358048647642136,
0.034977026283741,
0.026988884434103966,
0.0019258713582530618,
-0.03501260653138161,
-0.026081545278429985,
-0.022025207057595253,
0.0026108231395483017,
-0.0006310230819508433,
-0.002670867834240198,
-0.0003616568283177912,
0.011359527707099915,
0.05636175721883774,
0.03129429742693901,
0.008504078723490238,
-0.013512233272194862,
-0.04095478728413582,
-0.025921426713466644,
0.02181171625852585,
-0.01719496212899685,
0.0016801337478682399,
0.016750188544392586,
0.053408458828926086,
-0.0029399560298770666,
-0.03455004096031189,
0.01569162681698799,
0.028252042829990387,
-0.01238250732421875,
-0.006484804674983025,
0.004354337230324745,
-0.029301710426807404,
-0.046754639595746994,
0.014979987405240536,
0.029426246881484985,
-0.044441815465688705,
0.00027645481168292463,
0.017621945589780807,
-0.004487769212573767,
0.032290589064359665,
0.00659599807113409,
0.032877691090106964,
-0.04024314880371094,
0.02787843346595764,
0.0033358049113303423,
0.0034692371264100075,
0.030244629830121994,
0.06870868057012558,
-0.0428406298160553,
-0.029782066121697426,
-0.03519051894545555,
-0.008846553973853588,
-0.047146040946245193,
-0.017106007784605026,
0.033233512192964554,
0.043694596737623215,
-0.013912529684603214,
0.02960415557026863,
-0.010941440239548683,
0.0009090068051591516,
0.026188291609287262,
0.010950335301458836,
0.026828765869140625,
0.004576724022626877,
-0.06230393797159195,
-0.07998815178871155,
-0.03711194172501564,
0.03328688442707062,
0.02213195338845253,
-0.003691623918712139,
-0.02190067060291767,
0.06358488649129868,
-0.03552854433655739,
0.003882876830175519,
-0.029550783336162567,
0.012418089434504509,
-0.04006524011492729,
0.0027197927702218294,
0.0012064494658261538,
-0.005919941700994968,
-0.019445518031716347,
0.020975541323423386,
-0.017657527700066566,
0.020530767738819122,
0.049743521958589554,
0.022469980642199516,
0.03334025666117668,
-0.0015411418862640858,
0.038784291595220566,
-0.023555230349302292,
0.005755375139415264,
-0.010327652096748352,
-0.004343217704445124,
-0.06934916228055954,
0.008081543259322643,
0.009073388762772083,
-0.0012542626354843378,
0.06120089814066887,
0.015122314915060997,
-0.05657524988055229,
0.010567829944193363,
-0.042947374284267426,
-0.005030393600463867,
-0.003871757537126541,
0.0066982959397137165,
0.021473687142133713,
0.0243736132979393,
-0.03942476585507393,
-0.042627137154340744,
-0.0014710898976773024,
0.008913270197808743,
0.009233508259057999,
0.00853076484054327,
-0.06073833629488945,
0.01216901559382677,
-0.0029132694471627474,
-0.014063753187656403,
0.01683914288878441,
-0.024391405284404755,
-0.023057082667946815,
0.011190513148903847,
0.03278873860836029,
0.03234396502375603,
-0.026437364518642426,
0.026544110849499702,
-0.007303188554942608,
-0.005172721575945616,
-0.04234248399734497,
0.04077687859535217,
-0.041381772607564926,
-0.034656789153814316,
-0.020424021407961845,
0.023804303258657455,
-0.01806671917438507,
-0.004349889699369669,
0.0381438173353672,
0.022505562752485275,
0.014828764833509922,
0.008179393596947193,
0.011697555892169476,
-0.020388439297676086,
0.001532246358692646,
0.0412750244140625,
0.014704227447509766,
0.044441815465688705,
0.03353595733642578,
0.06080949679017067,
0.015086733736097813,
-0.017275020480155945,
0.03519051894545555,
-0.008917718194425106,
-0.030369168147444725,
-0.005733136553317308,
-0.030440330505371094,
-0.048569317907094955,
0.04536694660782814,
-0.05056190490722656,
-0.05927947536110878,
-0.028981473296880722,
-0.0028421056922525167,
-0.04230690002441406,
-0.015851745381951332,
-0.00026464051916264,
-0.0351727269589901,
-0.0245693139731884,
0.013094145804643631,
0.04828466475009918,
-0.015113419853150845,
-0.007263158913701773,
0.05849667266011238,
-0.003584878286346793,
-0.03942476585507393,
0.030920686200261116,
0.03253966569900513,
0.014126021414995193,
-0.013441069982945919,
-0.018805043771862984,
0.0324329175055027,
0.010354338213801384,
-0.008846553973853588,
0.010701262392103672,
-0.0033291331492364407,
-0.0003580430638976395,
0.021011123433709145,
-0.03503039851784706,
-0.008219422772526741,
-0.04095478728413582
] |
Applications of Reinforcement Learning in the Finance Technology (Fintech)
have acquired a lot of admiration lately. Undoubtedly Reinforcement Learning,
through its vast competence and proficiency, has aided remarkable results in
the field of Fintech. The objective of this systematic survey is to perform an
exploratory study on a correlation between reinforcement learning and Fintech
to highlight the prediction accuracy, complexity, scalability, risks,
profitability and performance. Major uses of reinforcement learning in finance
or Fintech include portfolio optimization, credit risk reduction, investment
capital management, profit maximization, effective recommendation systems, and
better price setting strategies. Several studies have addressed the actual
contribution of reinforcement learning to the performance of financial
institutions. The latest studies included in this survey are publications from
2018 onward. The survey is conducted using PRISMA technique which focuses on
the reporting of reviews and is based on a checklist and four-phase flow
diagram. The conducted survey indicates that the performance of RL-based
strategies in Fintech fields proves to perform considerably better than other
state-of-the-art algorithms. The present work discusses the use of
reinforcement learning algorithms in diverse decision-making challenges in
Fintech and concludes that the organizations dealing with finance can benefit
greatly from Robo-advising, smart order channelling, market making, hedging and
options pricing, portfolio optimization, and optimal execution. | [
-0.004834247753024101,
0.027217965573072433,
-0.03533727675676346,
-0.04296402633190155,
0.002879892708733678,
-0.015626894310116768,
-0.036354176700115204,
-0.0073526641353964806,
-0.053863923996686935,
0.03733929991722107,
0.07715729624032974,
-0.016699405387043953,
0.023086808621883392,
-0.02956954762339592,
0.0005124222952872515,
0.04143867641687393,
0.059615764766931534,
0.018637871369719505,
-0.028504980728030205,
-0.0037001657765358686,
-0.0068998257629573345,
0.008595983497798443,
-0.04372670128941536,
-0.00984327495098114,
-0.04595117270946503,
-0.002834211802110076,
-0.019178099930286407,
-0.003948432393372059,
-0.043917372822761536,
0.0322389081120491,
0.06730607151985168,
0.022975586354732513,
-0.010232556611299515,
-0.024373823776841164,
0.005612811539322138,
0.0032254799734801054,
0.022054020315408707,
0.012647694908082485,
0.04722229763865471,
0.038292642682790756,
-0.0010814494453370571,
0.014228655956685543,
-0.042709801346063614,
-0.022276466712355614,
0.01619095541536808,
-0.008270257152616978,
0.0052076405845582485,
-0.014236601069569588,
-0.008929654024541378,
0.01892387494444847,
-0.0054499488323926926,
0.0002768172707874328,
0.05570705607533455,
0.012615916319191456,
-0.05434059724211693,
0.01620684564113617,
0.04992343857884407,
-0.012806585058569908,
0.024469157680869102,
0.010097499936819077,
0.01822475530207157,
0.02751985751092434,
-0.032699692994356155,
0.014713272452354431,
0.04274158179759979,
-0.0750599354505539,
0.02949010208249092,
0.0065065715461969376,
0.04595117270946503,
-0.03139679133892059,
-0.09863930940628052,
0.04064422473311424,
-0.021291345357894897,
0.01963888294994831,
0.011217678897082806,
0.01344214752316475,
-0.032699692994356155,
0.0040139746852219105,
-0.04277335852384567,
0.03660840168595314,
0.03227068856358528,
0.07239057123661041,
-0.05230679735541344,
-0.007126245182007551,
0.02809186466038227,
0.020020220428705215,
0.02329336665570736,
-0.05799508094787598,
-0.013616927899420261,
-0.00805575493723154,
-0.04410804063081741,
0.04359959065914154,
-0.03432037681341171,
0.021974574774503708,
0.007312941364943981,
-0.029029319062829018,
-0.032048240303993225,
0.005704173818230629,
-0.02262602560222149,
0.014935719780623913,
0.0024012348148971796,
0.03311280906200409,
-0.0349559411406517,
-0.023372812196612358,
0.025660837069153786,
-0.04340892285108566,
-0.11605372279882431,
-0.026296399533748627,
-0.015563338063657284,
0.09762240946292877,
-0.03026866540312767,
-0.034129709005355835,
-0.03533727675676346,
0.03711685165762901,
-0.015825508162379265,
0.05297413840889931,
-0.02254658192396164,
-0.06269824504852295,
0.014808607287704945,
-0.031158452853560448,
-0.007829336449503899,
0.08522893488407135,
0.018606092780828476,
0.001695164479315281,
-0.04598294943571091,
0.04010399803519249,
-0.003163909772410989,
0.012735084630548954,
0.009017043747007847,
0.022085798904299736,
-0.08294091373682022,
-0.011670516803860664,
0.022959696128964424,
-0.010828397236764431,
0.010176945477724075,
0.05481727048754692,
0.008182867430150509,
-0.04439404234290123,
-0.010804562829434872,
-0.020210888236761093,
-0.002065578242763877,
-0.038928207010030746,
0.012846307829022408,
-0.007444026414304972,
0.02894987352192402,
0.01271125115454197,
-0.050972115248441696,
0.047381188720464706,
-0.020004330202937126,
0.05300591513514519,
-0.027281522750854492,
0.051131006330251694,
0.009318935684859753,
-0.005394337233155966,
0.07900042086839676,
-0.03927776589989662,
0.05615194886922836,
0.02043333649635315,
0.025041164830327034,
-0.048874758183956146,
0.04413981735706329,
-0.0018302215030416846,
-0.024421490728855133,
0.057359520345926285,
0.04347247630357742,
0.07181856781244278,
0.0184154249727726,
-0.05395926162600517,
-0.09616061300039291,
0.04579228162765503,
-0.06117289513349533,
-0.010748951695859432,
-0.026296399533748627,
0.03260435909032822,
0.012298135086894035,
0.007964393123984337,
0.010010110214352608,
-0.013958542607724667,
-0.03166690468788147,
-0.021990463137626648,
-0.06972121447324753,
0.008794596418738365,
0.04420337453484535,
0.030077997595071793,
0.03018921986222267,
0.020051999017596245,
0.08306802064180374,
0.009962443262338638,
0.03260435909032822,
-0.0015630866400897503,
-0.03222301974892616,
0.03676729276776314,
0.010041887871921062,
-0.030824784189462662,
0.015698395669460297,
-0.03381192684173584,
-0.004897803999483585,
0.020925896242260933,
0.027805861085653305,
0.007030910812318325,
-0.01614328846335411,
-0.04576050117611885,
0.015031053684651852,
0.014451103284955025,
-0.0037140685599297285,
-0.0023535676300525665,
0.07289902120828629,
-0.014006209559738636,
0.020528670400381088,
0.002671348862349987,
-0.017048964276909828,
-0.003628664882853627,
-0.0452202744781971,
0.05478549003601074,
-0.06679762154817581,
0.0003542764752637595,
0.06273002177476883,
0.04010399803519249,
-0.02316625416278839,
0.005215585231781006,
-0.02531127817928791,
0.07347103208303452,
0.011988298036158085,
-0.021418457850813866,
-0.04013577476143837,
-0.0025204026605933905,
-0.022737249732017517,
0.0023059004452079535,
-0.045283831655979156,
-0.021958686411380768,
-0.021339012309908867,
-0.028727427124977112,
-0.015436225570738316,
0.03320814296603203,
0.023627037182450294,
-0.017319079488515854,
0.014586159959435463,
-0.042678024619817734,
-0.0035571639891713858,
-0.00011507157614687458,
0.02945832349359989,
-0.010860174894332886,
0.02110067568719387,
-0.017906975001096725,
0.06279358267784119,
-0.028028307482600212,
-0.004905748181045055,
0.061490677297115326,
0.078936867415905,
0.004985193721950054,
-0.0480167493224144,
-0.06838653236627579,
0.00245088804513216,
0.018733205273747444,
-0.06285713613033295,
0.006014010403305292,
0.008826375007629395,
-0.05090855807065964,
0.031349122524261475,
-0.016667626798152924,
0.03166690468788147,
0.015452113933861256,
0.0492560975253582,
0.024310266599059105,
-0.019384657964110374,
0.04849342256784439,
0.039786215871572495,
0.004337714519351721,
-0.020258555188775063,
-0.013092588633298874,
0.044743601232767105,
0.0031182286329567432,
-0.01439549122005701,
0.048143863677978516,
-0.04579228162765503,
-0.01615917682647705,
0.04007221758365631,
-0.01442726980894804,
-0.007666473276913166,
0.03816553205251694,
-0.0022204965353012085,
-0.018558425828814507,
0.03365303575992584,
-0.0026475151535123587,
-0.016047954559326172,
-0.0036683876533061266,
-0.049605656415224075,
-0.02960132621228695,
-0.06514515727758408,
-0.0015084679471328855,
-0.008953487500548363,
-0.005072583444416523,
-0.029124652966856956,
-0.017748083919286728,
0.030681781470775604,
-0.0013902930077165365,
-0.05427704006433487,
0.0011152136139571667,
-0.030681781470775604,
0.00369619345292449,
-0.049033649265766144,
0.015857284888625145,
0.008603927679359913,
0.017017187550663948,
-0.05230679735541344,
-0.010868119075894356,
0.009716162458062172,
0.02670951560139656,
-0.010296112857758999,
-0.027964752167463303,
0.01374404039233923,
0.022212911397218704,
-0.031301453709602356,
0.0018173116259276867,
-0.01901920884847641,
0.048970092087984085,
0.021561458706855774,
0.006403292529284954,
-0.0075353882275521755,
-0.05287880450487137,
0.03020511008799076,
0.022133465856313705,
-0.1023891270160675,
0.027011407539248466,
-0.04073955863714218,
-0.0010298099368810654,
0.05367325618863106,
0.015205834060907364,
-0.06768740713596344,
-0.013863207772374153,
0.0054380320943892,
0.03292214125394821,
-0.006752851884812117,
-0.04143867641687393,
0.004349631257355213,
0.04455293342471123,
-0.03749819099903107,
0.008985265158116817,
-0.032080020755529404,
-0.01623067818582058,
-0.012917808257043362,
-0.025120610371232033,
-0.05799508094787598,
-0.027932973578572273,
0.018463091924786568,
-0.03813375160098076,
-0.020131442695856094,
0.012234578840434551,
-0.03308102861046791,
-0.026280511170625687,
0.000727917707990855,
-0.00984327495098114,
-0.009112377651035786,
-0.025597281754016876,
0.018621983006596565,
-0.0380701944231987,
0.008437092415988445,
-0.031460344791412354,
0.02257835865020752,
0.00009117591253016144,
-0.007888919673860073,
-0.06794163584709167,
-0.05341903120279312,
0.03165101632475853,
0.01911454275250435,
0.028568536043167114,
-0.07270835340023041,
0.04280513897538185,
0.0039682937785983086,
0.021640904247760773,
-0.03428860008716583,
0.015809617936611176,
0.05678751319646835,
-0.020258555188775063,
0.016365734860301018,
0.036227066069841385,
-0.027027297765016556,
0.015428280457854271,
-0.037752415984869,
0.06253935396671295,
-0.03590928390622139,
0.01613534428179264,
-0.025168277323246002,
0.027138520032167435,
0.010002165101468563,
0.030650002881884575,
0.01127329096198082,
-0.07785641402006149,
-0.016016175970435143,
0.018049975857138634,
0.027631081640720367,
-0.006411237176507711,
-0.006137150805443525,
-0.01097139809280634,
-0.01901920884847641,
0.03106311894953251,
-0.008317925035953522,
0.024993497878313065,
0.01766863837838173,
-0.049637433141469955,
-0.044680047780275345,
0.026550624519586563,
0.0490972064435482,
0.02594684064388275,
-0.04236024245619774,
0.017398525029420853,
0.02464393712580204,
-0.039087098091840744,
0.012464970350265503,
0.020576337352395058,
0.015881119295954704,
-0.008476815186440945,
-0.017319079488515854,
-0.05783618986606598,
0.0051758624613285065,
0.0576455220580101,
-0.03854686766862869,
-0.0337165929377079,
-0.005759785417467356,
-0.05418170616030693,
-0.06457315385341644,
-0.00884226430207491,
0.049573879688978195,
0.010661561973392963,
-0.007642639800906181,
-0.026582403108477592,
0.01892387494444847,
0.03984977304935455,
-0.002556153107434511,
-0.040421776473522186,
-0.011106455698609352,
0.056660398840904236,
0.03803841769695282,
-0.018574316054582596,
0.017303191125392914,
0.007821391336619854,
0.05577061325311661,
0.041279785335063934,
-0.05278347060084343,
-0.04026288539171219,
-0.020671671256422997,
-0.006089483387768269,
-0.02817131020128727,
0.04808030650019646,
0.013187922537326813,
-0.024755161255598068,
0.0021787879522889853,
-0.0546901561319828,
0.0008416238124482334,
0.02265780419111252,
-0.009048821404576302,
-0.0035611363127827644,
-0.10855408012866974,
0.016524625942111015,
0.03644951060414314,
-0.008667483925819397,
0.046777404844760895,
-0.0352737195789814,
0.041915349662303925,
-0.00035030420986004174,
0.03810197487473488,
0.029299432411789894,
0.03895998373627663,
-0.03317636623978615,
-0.009875052608549595,
-0.03460638225078583,
-0.041248008608818054,
-0.06295246630907059,
-0.01611150987446308,
-0.001120178960263729,
-0.03606817498803139,
-0.0421060174703598,
-0.0012462984304875135,
0.012345802038908005,
0.02405604161322117,
0.004174851346760988,
0.05068611353635788,
-0.0666705071926117,
0.040485333651304245,
0.015809617936611176,
0.07575905323028564,
0.017382634803652763,
0.005592950154095888,
-0.013982376083731651,
0.0246280487626791,
0.0002959338016808033,
0.021561458706855774,
0.03756174445152283,
-0.01832009106874466,
0.008921708911657333,
-0.02755163609981537,
0.01020077895373106,
-0.04159756749868393,
-0.028330199420452118,
-0.013418314047157764,
0.006069622468203306,
-0.02251480333507061,
-0.016604071483016014,
0.019336991012096405,
-0.03733929991722107,
0.029315322637557983,
-0.020608115941286087,
-0.027837639674544334,
0.019368767738342285,
-0.043250031769275665,
0.044680047780275345,
0.03606817498803139,
0.0007969358703121543,
-0.04023110866546631,
-0.0058432030491530895,
0.003185757203027606,
0.015920842066407204,
-0.011448070406913757,
0.0021112593822181225,
-0.041248008608818054,
0.03670373558998108,
0.005084500182420015,
-0.006347680930048227,
-0.008993210271000862,
0.029029319062829018,
0.030808893963694572,
-0.009549327194690704,
0.04197890684008598,
0.016476958990097046,
-0.04162934795022011,
0.0034677882213145494,
0.018764983862638474,
-0.05551638826727867,
0.03323991969227791,
-0.02944243513047695,
-0.053609699010849,
0.02683662809431553,
-0.06295246630907059,
-0.04445759952068329,
-0.006987215485423803,
-0.026979630813002586,
0.008309979923069477,
-0.022371800616383553,
-0.011940631084144115,
-0.05850353091955185,
-0.02955365739762783,
0.05783618986606598,
0.029728438705205917,
-0.019321100786328316,
0.00631193071603775,
-0.0016038023168221116,
0.06180845573544502,
-0.02670951560139656,
-0.02257835865020752,
-0.012584138661623001,
-0.019845440983772278,
0.05367325618863106,
-0.010272279381752014,
-0.007694278843700886,
-0.04976454749703407,
0.005156001076102257,
-0.004687273874878883,
-0.057931527495384216,
-0.011050843633711338,
-0.04083489254117012,
-0.007356636226177216,
-0.00508052809163928,
-0.008969376794993877,
0.009541383013129234,
0.000229894882068038,
-0.032795026898384094,
0.04023110866546631,
0.007992198690772057,
-0.013966486789286137,
-0.02176801674067974,
-0.010002165101468563,
-0.0024568464141339064,
0.016699405387043953,
-0.02616928704082966,
-0.022705471143126488,
0.05434059724211693,
-0.01843131333589554,
-0.03743463382124901,
0.005330780986696482,
0.020004330202937126,
-0.017382634803652763,
0.030014440417289734,
0.003694207174703479,
0.030824784189462662,
0.011614905670285225,
-0.022959696128964424,
-0.03895998373627663,
0.011892964132130146,
0.019527658820152283,
-0.007594972383230925,
-0.03301747515797615,
0.02683662809431553,
-0.014808607287704945,
-0.0054181707091629505,
-0.04007221758365631,
-0.011177956126630306,
0.029839660972356796,
0.005731979850679636,
0.04309114068746567,
-0.011360680684447289,
-0.022912029176950455,
0.016794739291071892,
0.007698251400142908,
0.05491260439157486,
-0.016381625086069107,
0.021990463137626648,
0.009430158883333206,
0.015221722424030304,
0.03384370356798172,
0.020814673975110054,
-0.0030467279721051455,
-0.008595983497798443,
0.01976599544286728,
-0.01336270198225975,
0.04143867641687393,
-0.047603633254766464,
-0.018065866082906723,
0.029331211000680923,
-0.04556983336806297,
-0.002975227078422904,
-0.03225480020046234,
-0.011305068619549274,
0.005827314220368862,
-0.0024945829063653946,
0.004270185716450214,
0.04372670128941536,
-0.010407336987555027,
-0.02669362723827362,
-0.011217678897082806,
-0.024977607652544975,
0.00777769647538662,
0.012854252010583878,
0.007682362105697393,
-0.008929654024541378,
0.031222010031342506,
-0.028409644961357117,
-0.015285279601812363,
0.03141267970204353,
0.038928207010030746,
-0.05195723846554756,
0.018145309761166573,
0.017462080344557762,
-0.0002445426071062684,
0.12832008302211761,
-0.007328830659389496,
0.0137519845739007,
-0.04061244800686836,
-0.017033075913786888,
0.03857864812016487,
0.02119601145386696,
-0.022085798904299736,
0.034066151827573776,
0.011861185543239117,
0.026185177266597748,
-0.03813375160098076,
-0.022324133664369583,
0.028520869091153145,
0.010145166888833046,
0.012218689545989037,
-0.020560448989272118,
0.02181568369269371,
0.046046506613492966,
-0.012965476140379906,
0.014339880086481571,
0.021577348932623863,
0.004500577226281166,
0.036894407123327255,
0.024469157680869102,
-0.012099522165954113,
-0.0037518050521612167,
-0.02882276102900505,
-0.025009386241436005,
0.00810739491134882,
0.03743463382124901,
0.008059727028012276,
-0.012735084630548954,
0.05697818100452423,
0.07200923562049866,
0.01437960285693407,
0.0035094968043267727,
-0.078936867415905,
-0.032080020755529404,
-0.007265274412930012,
-0.017446191981434822,
-0.02316625416278839,
0.006335764192044735,
-0.009732051752507687,
0.030459335073828697,
-0.03036400116980076,
0.030824784189462662,
0.002556153107434511,
-0.04865231364965439,
0.05650151148438454,
0.013211756013333797,
0.04023110866546631,
0.04763541370630264,
-0.010653616860508919,
-0.06374692171812057,
0.0102563900873065,
-0.02732918970286846,
0.0000033942701520572882,
-0.014149211347103119,
-0.02261013723909855,
-0.01441932562738657,
-0.02963310293853283,
-0.03530550003051758,
-0.012774807401001453,
0.041947126388549805,
0.0012691390002146363,
-0.00980355218052864,
0.011138233356177807,
-0.03883287310600281,
-0.017859308049082756,
0.015174055472016335,
0.04766719043254852,
0.0019742161966860294,
0.020655782893300056,
0.022260578349232674,
0.01609562151134014,
0.02664596028625965,
0.028489090502262115,
-0.013624872080981731,
0.01901920884847641,
-0.03870575875043869,
-0.022276466712355614,
0.00757908308878541,
0.001650476478971541,
-0.029362989589571953,
-0.07124656438827515,
-0.01406976580619812,
0.011686406098306179,
0.044743601232767105,
-0.002879892708733678,
0.023770039901137352,
-0.03606817498803139,
0.02330925688147545,
0.02194279618561268,
0.025867395102977753,
-0.01344214752316475,
-0.008206700906157494,
0.009112377651035786,
0.03927776589989662,
-0.0071143279783427715,
-0.011678461916744709,
0.001899736118502915,
-0.030761227011680603,
-0.0031837711576372385,
0.0013237575767561793,
-0.0026177233085036278,
-0.007892892695963383,
0.02381770685315132,
-0.004002057947218418,
0.05932976305484772,
-0.03854686766862869,
-0.016556404531002045,
-0.005052722059190273,
-0.011003176681697369,
0.010264335200190544,
0.020735228434205055,
-0.00881842989474535,
-0.036354176700115204,
0.05434059724211693,
-0.026312289759516716,
-0.02472338266670704,
0.06590783596038818,
-0.021625015884637833,
-0.06365159153938293,
0.012218689545989037,
0.03746641054749489,
-0.020671671256422997,
0.027694636955857277,
0.017986420542001724,
0.020226778462529182,
-0.014776828698813915,
0.009700273163616657,
-0.03813375160098076,
-0.00580348027870059,
-0.013513648882508278,
-0.006427126005291939,
0.01626245677471161,
-0.011527515947818756,
0.038292642682790756,
-0.025787949562072754,
0.04340892285108566,
-0.020194999873638153,
0.018717316910624504,
0.020862340927124023,
-0.05437237396836281,
0.0041470457799732685,
-0.0009841289138421416,
0.01975010521709919,
0.01164668332785368,
-0.02894987352192402,
-0.011098510585725307,
-0.000123636782518588,
-0.013275312259793282,
-0.0326361358165741,
0.0005253321724012494,
0.027821749448776245,
0.01051061600446701,
0.02116423286497593,
0.019130432978272438,
0.009692328982055187,
0.05821752920746803,
0.018177088350057602,
0.025184165686368942,
0.0031480207107961178,
-0.000644996645860374,
0.05847175419330597,
0.033494144678115845,
-0.004580022767186165,
0.010105444118380547,
-0.005005055107176304,
0.016429292038083076,
-0.011154122650623322,
-0.02683662809431553,
0.017223745584487915,
0.025915062054991722,
-0.03171456977725029,
-0.009088544175028801,
-0.006490682251751423,
-0.022737249732017517,
-0.0062920693308115005,
0.02820308692753315,
-0.044775381684303284,
-0.0041470457799732685,
0.011154122650623322,
-0.0449024923145771,
-0.005728007294237614,
-0.007221579551696777,
-0.011988298036158085,
0.05297413840889931,
-0.005052722059190273,
-0.036227066069841385,
-0.03103134036064148,
0.01968654990196228,
0.027122631669044495,
0.003396287327632308,
-0.01843131333589554,
0.05983821302652359,
-0.01757330447435379,
0.005239418707787991,
-0.008961431682109833,
-0.0025879312306642532,
-0.05777263641357422,
-0.026201065629720688,
0.031174343079328537,
0.006621767301112413,
-0.007908781059086323,
-0.0036425678990781307,
0.013863207772374153,
-0.029061097651720047,
0.01191679760813713,
-0.003910695668309927,
-0.010399391874670982,
-0.014014153741300106,
0.0037637220229953527,
0.03298569470643997,
0.037815969437360764,
-0.01236169133335352,
0.017191966995596886,
-0.0053903646767139435,
0.0275039691478014,
-0.01621478982269764,
0.006701212376356125,
-0.03460638225078583,
0.00719377351924777,
0.010343780741095543,
-0.021386679261922836,
-0.053196582943201065,
0.02526361122727394,
0.02960132621228695,
-0.005946482066065073,
-0.003727971576154232,
-0.012250468134880066,
-0.003211576957255602,
0.02677307277917862,
0.010669506154954433,
-0.00885020848363638,
-0.05084500461816788,
-0.011781740933656693,
0.006522460374981165,
0.017176076769828796,
-0.016619959846138954,
0.03397081792354584,
-0.017891084775328636,
-0.03235013410449028,
0.0006286110728979111,
0.006649572867900133,
-0.02467571571469307,
-0.010319946333765984,
0.027869418263435364,
0.0005347662954591215,
-0.0450613833963871,
0.040517110377550125,
0.01758919283747673,
0.0037617357447743416,
-0.008286146447062492,
0.02116423286497593,
-0.005950454156845808,
0.0026792932767421007,
-0.018129421398043633,
0.006033871788531542,
-0.01978188380599022,
0.046809181571006775,
0.0024568464141339064,
-0.0020089733880013227,
-0.006454932037740946,
0.002041744766756892,
-0.03870575875043869,
-0.006744907703250647,
-0.012774807401001453,
0.0009141176706179976,
-0.08847030252218246,
0.025549614802002907,
0.008516537956893444,
-0.055198606103658676,
-0.010319946333765984,
-0.0349559411406517,
-0.034129709005355835,
0.04531560838222504,
0.0028779066633433104,
-0.04912898316979408,
0.0022860390599817038,
-0.015706339851021767,
0.0022641916293650866,
-0.010709228925406933,
0.0183359794318676,
-0.0066853235475718975,
-0.05020944029092789,
0.010129277594387531,
0.0025303333532065153,
0.05859886482357979,
-0.009763829410076141,
-0.014657661318778992,
-0.010486781597137451,
-0.015126388520002365,
0.016461070626974106,
-0.033367034047842026,
-0.016794739291071892,
-0.045442722737789154,
0.01372020598500967,
0.05691462382674217,
-0.027059074491262436,
0.010033943690359592,
-0.03505127504467964,
0.034225042909383774,
0.03031633235514164,
-0.022848473861813545,
0.012766862288117409,
-0.032127685844898224,
0.03864220157265663,
0.03397081792354584,
-0.030793005600571632,
0.005124222952872515,
-0.02044922485947609,
-0.03285858407616615,
-0.05252924561500549,
0.009152100421488285,
0.009779718704521656,
-0.040580667555332184,
0.00840531475841999,
-0.04083489254117012,
-0.03435215353965759,
-0.039690881967544556,
0.041248008608818054,
-0.027583414688706398,
0.0028421562165021896,
0.004202657379209995,
0.0154600590467453,
0.011074677109718323,
0.03476526960730553,
0.0009985283249989152,
0.04201068356633186,
-0.0001290986401727423,
-0.05990177020430565,
-0.0075274440459907055,
-0.014729161746799946,
-0.00019377209537196904,
0.02044922485947609,
0.02597861923277378,
0.015714284032583237,
-0.022165244445204735,
0.0036405816208571196,
-0.004719051998108625,
-0.037625301629304886,
0.024421490728855133,
-0.016619959846138954,
-0.038324423134326935,
0.02683662809431553,
0.004043766763061285,
-0.022054020315408707,
0.030840672552585602,
-0.009589049965143204,
-0.027313299477100372,
-0.015611005015671253,
-0.01830420084297657,
-0.011146178469061852,
0.02038566768169403,
0.015912897884845734,
0.04636428877711296,
0.0030844644643366337,
0.02030622400343418,
-0.00024628048413433135,
0.041820015758275986,
0.015952620655298233,
0.03927776589989662,
0.0037796110846102238,
-0.007467859890311956,
0.053133029490709305,
0.017986420542001724,
0.035591501742601395,
-0.004691245965659618,
0.0062364572659134865,
0.015897007659077644,
0.008897875435650349,
0.048175640404224396,
-0.02332514524459839,
0.004675357136875391,
-0.05767730250954628,
0.03160334751009941,
-0.03368481621146202,
0.050304774194955826,
0.017191966995596886
] |
Deep reinforcement learning (DRL) has emerged as a promising approach for
developing more intelligent autonomous vehicles (AVs). A typical DRL
application on AVs is to train a neural network-based driving policy. However,
the black-box nature of neural networks can result in unpredictable decision
failures, making such AVs unreliable. To this end, this work proposes a method
to identify and protect unreliable decisions of a DRL driving policy. The basic
idea is to estimate and constrain the policy's performance uncertainty, which
quantifies potential performance drop due to insufficient training data or
network fitting errors. By constraining the uncertainty, the DRL model's
performance is always greater than that of a baseline policy. The uncertainty
caused by insufficient data is estimated by the bootstrapped method. Then, the
uncertainty caused by the network fitting error is estimated using an ensemble
network. Finally, a baseline policy is added as the performance lower bound to
avoid potential decision failures. The overall framework is called
uncertainty-bound reinforcement learning (UBRL). The proposed UBRL is evaluated
on DRL policies with different amounts of training data, taking an unprotected
left-turn driving case as an example. The result shows that the UBRL method can
identify potentially unreliable decisions of DRL policy. The UBRL guarantees to
outperform baseline policy even when the DRL policy is not well-trained and has
high uncertainty. Meanwhile, the performance of UBRL improves with more
training data. Such a method is valuable for the DRL application on real-road
driving and provides a metric to evaluate a DRL policy. | [
-0.008578294888138771,
-0.029316116124391556,
-0.02281993068754673,
-0.0628889873623848,
0.06585021317005157,
0.029612237587571144,
-0.04441835731267929,
0.021653948351740837,
-0.07425268739461899,
-0.003528020577505231,
0.019766168668866158,
0.008499637246131897,
0.03112986497581005,
0.013075653463602066,
-0.016157178208231926,
0.009549946524202824,
-0.0009190204436890781,
0.033757951110601425,
0.007398432586342096,
-0.039273232221603394,
0.024652188643813133,
-0.013686406426131725,
-0.0330546610057354,
0.05467159301042557,
-0.019692137837409973,
0.029334623366594315,
0.02494831010699272,
0.011854149401187897,
-0.0901692658662796,
0.056855496019124985,
0.041012950241565704,
0.039421290159225464,
0.009596215561032295,
0.012714754790067673,
0.006935741286724806,
0.050007667392492294,
0.00529781449586153,
-0.0013128863647580147,
-0.05004468187689781,
0.025151895359158516,
0.002660474507138133,
-0.012955354526638985,
-0.017619282007217407,
-0.02091364376246929,
0.0028201029635965824,
-0.0341281034052372,
-0.04693539813160896,
0.027687443420290947,
-0.027076689526438713,
0.0039999657310545444,
-0.03827381879091263,
-0.02402292750775814,
0.05437547340989113,
-0.022449778392910957,
-0.016425538808107376,
0.045972999185323715,
0.012196540832519531,
-0.0012851248029619455,
0.02080259658396244,
0.012252063490450382,
0.032203309237957,
-0.007546493783593178,
-0.051895447075366974,
0.010521598160266876,
-0.012196540832519531,
-0.014343427494168282,
0.08424681425094604,
-0.028649840503931046,
0.012094748206436634,
-0.026484444737434387,
-0.025799661874771118,
0.051858432590961456,
-0.010049653239548206,
-0.006727530155330896,
0.04238251596689224,
0.030260005965828896,
-0.05082200467586517,
0.032406892627477646,
-0.005431994795799255,
0.022782916203141212,
0.08787431567907333,
-0.010577120818197727,
-0.04737957939505577,
-0.025207417085766792,
0.05741072818636894,
-0.004548254888504744,
0.05681848153471947,
-0.06325914710760117,
0.0714765414595604,
-0.02122827246785164,
0.0017732641426846385,
-0.006662753410637379,
0.03140747919678688,
-0.01174310315400362,
0.008175753988325596,
0.031240910291671753,
-0.03211076930165291,
0.0018218467012047768,
-0.05837312340736389,
-0.019118400290608406,
0.0230790376663208,
0.02578115463256836,
0.014463727362453938,
0.00892531406134367,
0.05637429654598236,
-0.05907641351222992,
-0.036996789276599884,
0.06407348066568375,
0.04427029564976692,
0.1450999677181244,
0.030093437060713768,
-0.010206968523561954,
0.01034577563405037,
0.04560284689068794,
-0.053487103432416916,
-0.005829909350723028,
-0.010956527665257454,
-0.04886019229888916,
0.015222541056573391,
-0.006921860855072737,
0.02511487901210785,
0.0699959248304367,
0.030815234407782555,
-0.01639777608215809,
-0.005760505795478821,
0.0028362972661852837,
-0.00123307213652879,
0.02082110568881035,
0.04660226032137871,
0.006528573110699654,
0.01221504807472229,
0.005288560409098864,
-0.02189454808831215,
-0.03344332054257393,
-0.04845302551984787,
0.008596803061664104,
0.007888885214924812,
-0.026243846863508224,
-0.008911432698369026,
0.014121335931122303,
-0.00872172974050045,
-0.01719360612332821,
-0.06037195026874542,
0.07114340364933014,
0.0018137495499104261,
0.011585787869989872,
0.0110027976334095,
0.06499886512756348,
-0.03905113786458969,
0.006324988789856434,
0.005015572998672724,
0.04093891754746437,
0.023967405781149864,
0.03074120543897152,
0.07047712802886963,
-0.007398432586342096,
-0.012437139637768269,
0.01919243112206459,
-0.002304202178493142,
-0.06055702641606331,
0.06488781422376633,
-0.014898656867444515,
-0.027724457904696465,
0.06647947430610657,
0.04497358575463295,
0.04567687585949898,
0.05245067551732063,
0.00137650640681386,
-0.06211166828870773,
0.04282670095562935,
-0.07262401282787323,
-0.06274092942476273,
-0.006301854271441698,
0.04675032198429108,
0.009438901208341122,
0.017776597291231155,
0.02805759571492672,
-0.021968578919768333,
-0.02091364376246929,
-0.0161016546189785,
-0.05448651686310768,
-0.028520286083221436,
0.01811898872256279,
0.027446843683719635,
0.04845302551984787,
0.014621042646467686,
0.07055115699768066,
-0.015601947903633118,
0.02616981603205204,
0.019784675911068916,
-0.009216808713972569,
0.040605779737234116,
0.024781741201877594,
0.0030630158726125956,
0.009633230976760387,
-0.016268223524093628,
-0.07292013615369797,
-0.01811898872256279,
0.007282759994268417,
-0.005515279248356819,
0.019673630595207214,
-0.017212113365530968,
0.002762266667559743,
0.03808874264359474,
0.022505300119519234,
0.007148579228669405,
0.03853292390704155,
0.038458894938230515,
0.018461380153894424,
-0.05411636456847191,
-0.0013799765147268772,
-0.04997065290808678,
-0.09335257858037949,
0.021302303299307823,
-0.08743013441562653,
-0.005672594532370567,
0.0009259607759304345,
-0.030926281586289406,
-0.018748247995972633,
-0.04412223398685455,
-0.0022937916219234467,
0.029353130608797073,
-0.01625896990299225,
-0.0005572537193074822,
-0.055522944778203964,
-0.0261883232742548,
0.010521598160266876,
0.07010697573423386,
-0.0362749919295311,
-0.04993363469839096,
-0.04819391667842865,
0.012390870600938797,
0.018433617427945137,
-0.00019982477533631027,
0.036811713129282,
0.016860468313097954,
-0.008980836719274521,
0.019766168668866158,
0.0007050257408991456,
-0.0005702669150196016,
0.00826366525143385,
-0.006815441884100437,
-0.02067304402589798,
-0.02378232777118683,
0.054153379052877426,
-0.010558613575994968,
0.0202843826264143,
0.02457815781235695,
0.04241953045129776,
0.006399019621312618,
-0.013788198120892048,
-0.014639549888670444,
-0.0069449953734874725,
-0.020432444289326668,
-0.006829322315752506,
0.017610028386116028,
-0.001295535359531641,
-0.052968889474868774,
0.04112399369478226,
-0.06122330203652382,
0.0480828732252121,
0.0370338037610054,
-0.011641311459243298,
0.02739132009446621,
-0.04023562744259834,
0.011770864948630333,
0.028372226282954216,
0.06888546794652939,
0.03164808079600334,
-0.03568274527788162,
0.02953820675611496,
-0.048267949372529984,
-0.006584096234291792,
-0.016027623787522316,
-0.02106170356273651,
-0.02041393704712391,
0.017424950376152992,
0.018044957891106606,
-0.0035534685011953115,
0.011770864948630333,
-0.001329080550931394,
-0.00898546352982521,
-0.0005691102123819292,
-0.027446843683719635,
-0.03224032372236252,
-0.052561722695827484,
-0.023134561255574226,
0.009304719977080822,
-0.04064279794692993,
-0.029057009145617485,
-0.019359000027179718,
-0.008906805887818336,
-0.014454473741352558,
0.010475329123437405,
0.07099533826112747,
0.03975442796945572,
-0.028816409409046173,
-0.024929802864789963,
-0.01891481690108776,
0.0024522633757442236,
0.006681261118501425,
-0.016444046050310135,
0.0012110943207517266,
0.013584613800048828,
0.05781789496541023,
0.03275853767991066,
-0.013214461505413055,
-0.00945740845054388,
-0.006991264410316944,
-0.019692137837409973,
-0.05182141810655594,
0.04090190306305885,
-0.08513518422842026,
-0.054301440715789795,
0.016555091366171837,
0.021690964698791504,
0.025411002337932587,
0.0016853527631610632,
-0.03716335818171501,
0.022468285635113716,
0.005996478255838156,
0.03087075799703598,
-0.05626325309276581,
0.04734256491065025,
0.0299453753978014,
0.001370722777210176,
0.005270053166896105,
0.03353586047887802,
-0.08498712629079819,
-0.036552608013153076,
-0.051747385412454605,
-0.018156003206968307,
-0.08787431567907333,
-0.011234142817556858,
0.0078056007623672485,
-0.014260143041610718,
-0.02000676840543747,
0.05822506174445152,
-0.01173384953290224,
-0.03784814104437828,
0.017887642607092857,
0.019229447469115257,
-0.08728206902742386,
-0.04982259124517441,
0.012002210132777691,
-0.06899651139974594,
0.032018233090639114,
-0.013334761373698711,
-0.02444860339164734,
-0.016536584123969078,
0.0009878457058221102,
-0.0035766030196100473,
-0.012992369011044502,
0.0030213736463338137,
0.036867234855890274,
0.03768157213926315,
-0.03218480199575424,
0.009364870376884937,
-0.045713894069194794,
0.00586692476645112,
0.005117364693433046,
-0.03151852637529373,
-0.0818038061261177,
0.017952419817447662,
-0.007944407872855663,
0.056966543197631836,
0.013288491405546665,
-0.010910258628427982,
0.02966776117682457,
-0.010188460350036621,
-0.04067981243133545,
0.04430731013417244,
0.05733669549226761,
-0.0019675944931805134,
-0.00032504057162441313,
0.0036552606616169214,
-0.024208003655076027,
-0.0314444936811924,
-0.061408378183841705,
0.04438134282827377,
-0.018165256828069687,
-0.030963296070694923,
-0.03475736454129219,
-0.012335347943007946,
-0.012724008411169052,
0.06736784428358078,
-0.024652188643813133,
0.0015581126790493727,
0.04360402002930641,
0.03794068098068237,
-0.005751251708716154,
-0.03490542620420456,
-0.01581478677690029,
-0.02552204765379429,
0.012446394190192223,
0.03164808079600334,
0.02430054359138012,
-0.016721660271286964,
-0.010484582744538784,
-0.03688574582338333,
-0.024800248444080353,
0.036182451993227005,
0.01013293769210577,
-0.03720037266612053,
-0.00654245400801301,
0.04778674989938736,
-0.008240530267357826,
-0.011918925680220127,
0.0063157351687550545,
-0.007204102352261543,
0.0261883232742548,
-0.07639957219362259,
-0.019673630595207214,
-0.007467836141586304,
0.01624046266078949,
0.001981475157663226,
-0.012076240964233875,
-0.027169227600097656,
-0.027206243947148323,
-0.02226470224559307,
-0.017878388985991478,
0.0459359847009182,
0.03666365146636963,
0.004807361867278814,
-0.008906805887818336,
0.052820827811956406,
-0.07099533826112747,
-0.021265288814902306,
-0.0394953228533268,
-0.020580505952239037,
0.03653409704566002,
-0.011641311459243298,
0.0165273305028677,
-0.0027345051057636738,
0.026539968326687813,
-0.01880377158522606,
0.017832119017839432,
0.018553918227553368,
-0.035886332392692566,
-0.0010011481354013085,
0.0061399126425385475,
-0.03762605041265488,
-0.02642892301082611,
-0.021524395793676376,
-0.012020718306303024,
-0.032980628311634064,
0.045861952006816864,
-0.0502297580242157,
-0.0598907507956028,
0.01430641207844019,
-0.015648217871785164,
0.015796277672052383,
-0.0346648246049881,
0.0010202341945841908,
0.057632818818092346,
-0.048267949372529984,
-0.026095785200595856,
-0.0545235350728035,
0.004522806499153376,
-0.005617071408778429,
0.015139256604015827,
0.03771858662366867,
-0.007347536738961935,
-0.030648665502667427,
0.005547667853534222,
-0.0027668934781104326,
-0.052968889474868774,
-0.04130907356739044,
-0.006033493671566248,
-0.010031145997345448,
0.005663340445607901,
-0.06659051775932312,
0.01771182008087635,
-0.034831393510103226,
-0.0019143848912790418,
0.016953006386756897,
-0.023930389434099197,
-0.06944070011377335,
-0.03290659934282303,
0.0005682426271960139,
0.013427299447357655,
0.026891613379120827,
0.03782963380217552,
-0.04789779335260391,
0.02256082370877266,
0.002896446967497468,
0.05970567464828491,
-0.0098738307133317,
-0.04752764105796814,
-0.02911253087222576,
-0.04834197834134102,
-0.05718863382935524,
-0.06518393754959106,
-0.019396016374230385,
-0.014778357930481434,
-0.028409240767359734,
-0.007338282652199268,
-0.01919243112206459,
0.04390014335513115,
0.00919830147176981,
0.026484444737434387,
0.0005150331417098641,
0.0017790477722883224,
0.006102897226810455,
-0.01917392387986183,
0.015490901656448841,
-0.007319774944335222,
0.04171624034643173,
-0.006963502615690231,
-0.04538075625896454,
-0.013482822105288506,
0.03127792477607727,
0.04227146878838539,
-0.01517627201974392,
0.02324560657143593,
0.0031648080330342054,
0.04134608805179596,
-0.01868347078561783,
0.048786163330078125,
0.02818714827299118,
0.033739443868398666,
-0.0009300093515776098,
-0.01262221671640873,
0.011835641227662563,
-0.009920099750161171,
0.02455965057015419,
-0.00024594931164756417,
-0.06433258950710297,
0.033221229910850525,
0.0005659292219206691,
-0.06836725771427155,
0.03150001913309097,
-0.06325914710760117,
-0.04364103451371193,
-0.011891163885593414,
0.002046251902356744,
0.03879203274846077,
0.029760299250483513,
-0.020839612931013107,
0.0006263682153075933,
-0.047194503247737885,
0.06929263472557068,
0.016323747113347054,
0.06814516335725784,
-0.004030040465295315,
0.01612016186118126,
0.02550354041159153,
-0.018553918227553368,
-0.004811988677829504,
-0.010530851781368256,
-0.012270570732653141,
-0.0019803184550255537,
-0.03125941753387451,
0.0001769793889252469,
-0.038051724433898926,
-0.0011509443866088986,
-0.03812575712800026,
0.014398951083421707,
-0.014398951083421707,
-0.027872519567608833,
0.022893961519002914,
-0.028409240767359734,
-0.021968578919768333,
0.016305238008499146,
0.027742965146899223,
-0.016999274492263794,
0.011141604743897915,
0.047453612089157104,
-0.02990836091339588,
0.03636752814054489,
-0.0472315214574337,
-0.019155416637659073,
-0.009984876960515976,
-0.04567687585949898,
0.0002540464047342539,
-0.03222181648015976,
0.014204620383679867,
-0.02402292750775814,
-0.04067981243133545,
0.02779848873615265,
-0.02080259658396244,
0.003467870643362403,
0.005728117190301418,
0.03544214740395546,
0.006454542279243469,
-0.042604606598615646,
-0.04526970908045769,
-0.006274092942476273,
0.03501646965742111,
-0.04386312887072563,
-0.035775285214185715,
0.005126618780195713,
0.021931564435362816,
0.020302889868617058,
-0.02324560657143593,
-0.022708885371685028,
0.046787336468696594,
0.013640137389302254,
-0.007629778236150742,
-0.05034080520272255,
0.0038056352641433477,
0.03436870500445366,
0.0083191879093647,
0.06370332837104797,
0.015361348167061806,
0.03283257037401199,
-0.0016888229874894023,
-0.004067055881023407,
0.014056559652090073,
-0.037107836455106735,
-0.008624563924968243,
0.021043196320533752,
0.05385725945234299,
-0.018026450648903847,
0.01747122034430504,
-0.016564344987273216,
0.012751770205795765,
0.015731502324342728,
0.022468285635113716,
-0.009735023602843285,
-0.034553781151771545,
-0.01733241230249405,
0.02267186902463436,
0.004562135320156813,
-0.043307896703481674,
0.026891613379120827,
0.009957115165889263,
-0.024504126980900764,
0.009494423866271973,
-0.004650046583265066,
-0.0354236401617527,
0.0026558476965874434,
0.012298332527279854,
-0.023967405781149864,
-0.018563171848654747,
-0.023412175476551056,
-0.013473568484187126,
0.024874279275536537,
0.03731141984462738,
-0.016036877408623695,
-0.026114292442798615,
0.03557170182466507,
-0.014843134209513664,
0.044085219502449036,
-0.017147336155176163,
-0.022079624235630035,
-0.002172335283830762,
-0.012909084558486938,
0.01597210019826889,
0.016018370166420937,
-0.047305550426244736,
0.02887193113565445,
0.02939014695584774,
0.029723284766077995,
-0.013186699710786343,
-0.004978557582944632,
0.02604026161134243,
0.010641898028552532,
0.012899830937385559,
0.03666365146636963,
0.0013811333337798715,
0.010280998423695564,
0.008800387382507324,
0.0014343428192660213,
0.025799661874771118,
0.002190842991694808,
0.07758406549692154,
0.01087324321269989,
0.016138669103384018,
0.05171037092804909,
-0.008906805887818336,
-0.00046153448056429625,
-0.005487517919391394,
0.027076689526438713,
0.01220579445362091,
-0.027224751189351082,
0.0038796658627688885,
0.026817582547664642,
0.05208052322268486,
-0.030111944302916527,
-0.01101205125451088,
-0.013325506821274757,
0.023430682718753815,
0.0257626473903656,
-0.053487103432416916,
-0.006977383513003588,
0.024726219475269318,
0.01961810700595379,
-0.019155416637659073,
0.008078589104115963,
-0.04700942710042,
-0.02874237857758999,
0.03299913927912712,
-0.0064499154686927795,
0.04360402002930641,
-0.008407099172472954,
-0.0416422113776207,
-0.0225423164665699,
0.007828735746443272,
0.020450951531529427,
-0.010938020423054695,
-0.045824937522411346,
-0.019377509132027626,
-0.0031648080330342054,
0.05593011528253555,
-0.013936259783804417,
0.013991782441735268,
0.011224889196455479,
0.009512931108474731,
0.011807880364358425,
-0.016971513628959656,
0.010854735970497131,
-0.015398363582789898,
-0.024263527244329453,
0.0483049638569355,
0.042345501482486725,
0.03299913927912712,
-0.01040129829198122,
-0.011298920027911663,
0.009036359377205372,
0.017406443133950233,
-0.012057732790708542,
0.02294948510825634,
-0.05733669549226761,
-0.04212340712547302,
-0.036552608013153076,
0.007416940294206142,
0.03882904723286629,
-0.006676634307950735,
-0.0001904263481264934,
0.02766893431544304,
0.004178101662546396,
-0.02766893431544304,
0.009920099750161171,
-0.011058320291340351,
-0.020339906215667725,
0.0017987120663747191,
0.020043782889842987,
-0.026669522747397423,
-0.010216222144663334,
0.027298782020807266,
-0.02146887220442295,
0.047971826046705246,
-0.015194779261946678,
-0.03170360252261162,
-0.0020578191615641117,
-0.02737281285226345,
0.024263527244329453,
-0.003932875581085682,
0.019969753921031952,
0.04404820501804352,
0.003292048117145896,
0.0316665880382061,
-0.029704775661230087,
-0.05707759037613869,
0.028483271598815918,
0.03531259298324585,
0.010179206728935242,
-0.012242809869349003,
-0.033239737153053284,
-0.013492075726389885,
0.06444363296031952,
-0.0009074531262740493,
-0.0007119661313481629,
0.05167335644364357,
-0.05270978435873985,
0.054819654673337936,
0.03272152319550514,
0.03462781012058258,
0.004617658443748951,
0.021950071677565575,
0.008360830135643482,
-0.007333655841648579,
-0.04967452958226204,
0.02713221311569214,
-0.006574842147529125,
0.044640447944402695,
-0.02376382052898407,
0.00040340889245271683,
-0.00034036723081953824,
-0.0157222468405962,
0.04097593575716019,
-0.035923346877098083,
-0.0017489728052169085,
-0.04323386773467064,
0.05204350873827934,
-0.016712406650185585,
-0.05034080520272255,
0.014593280851840973,
0.0013360208831727505,
-0.020210351794958115,
0.016573598608374596,
-0.01515776477754116,
0.04116101190447807,
0.025151895359158516,
-0.002394427079707384,
-0.029889853671193123,
0.022375747561454773,
-0.014509996399283409,
-0.02054348960518837,
0.020469458773732185,
0.003208763664588332,
-0.026373399421572685,
0.03747798874974251,
0.0050757224671542645,
-0.016305238008499146,
0.013112668879330158,
-0.03342481330037117,
0.016999274492263794,
0.011049066670238972,
0.01707330532371998,
0.014398951083421707,
-0.03527557849884033,
0.022375747561454773,
-0.010114430449903011,
-0.05841013789176941,
0.01638852246105671,
0.08254411071538925,
-0.012816546484827995,
-0.005061842035502195,
-0.030037913471460342,
-0.03555319458246231,
-0.026336384937167168,
-0.006621111184358597,
-0.03244390711188316,
-0.03385049104690552,
-0.005802148021757603,
-0.009559200145304203,
0.0016772556118667126,
0.013797451741993427,
0.012113256379961967,
0.04874914512038231,
-0.03882904723286629,
0.0029126412700861692,
-0.015481648035347462,
0.025670109316706657,
-0.02992686815559864,
-0.034849900752305984,
0.0005934014916419983,
0.00597334373742342,
0.00899471715092659,
0.02346769906580448,
0.012381616979837418,
-0.03209226205945015,
-0.025170402601361275,
-0.04767570272088051,
0.010549359954893589,
-0.003204136621206999,
0.011437727138400078,
0.019969753921031952,
0.031740617007017136,
0.0149726876989007,
0.012501916848123074,
-0.0040739960968494415,
-0.0092029282823205,
0.0013579986989498138,
0.03138897195458412,
0.038199786096811295,
-0.02550354041159153,
0.0023805464152246714,
0.01890556327998638,
-0.0014968060422688723,
-0.012936846353113651,
-0.020469458773732185,
0.028520286083221436,
-0.012631470337510109,
0.014445220120251179,
-0.06329616159200668,
0.0007246900931932032,
-0.04204937815666199,
0.04042070358991623,
0.03129643574357033,
0.0015997549053281546,
0.04082787409424782,
0.002313456032425165,
0.000344126601703465,
0.03688574582338333,
0.02000676840543747,
-0.0002549139317125082,
-0.03370242938399315,
-0.01625896990299225,
-0.0024013675283640623,
0.02737281285226345,
-0.027576396241784096,
0.03392452001571655,
-0.0450846329331398,
0.0009901592275127769,
-0.040198612958192825,
-0.02402292750775814,
-0.016490314155817032,
0.02548503316938877,
0.0047842273488640785,
-0.01947004720568657,
-0.02805759571492672,
0.028150133788585663,
0.017017783597111702,
-0.01269624661654234,
0.010530851781368256,
-0.004446462728083134,
-0.00007298230775631964,
-0.00019780050206463784,
-0.00016252028581220657,
-0.030371051281690598,
0.033091675490140915,
0.009364870376884937,
-0.03292510658502579,
0.033868998289108276,
0.03425765782594681,
0.062222715467214584,
-0.02820565737783909,
-0.024337558075785637,
-0.009008597582578659,
0.021450364962220192,
-0.007592762820422649,
0.031092850491404533,
0.014463727362453938,
-0.008444114588201046,
-0.025151895359158516,
0.022597840055823326,
-0.040753841400146484,
0.003005179576575756,
-0.0021179690957069397,
-0.03533110022544861,
0.013232968747615814,
-0.014574773609638214,
-0.01409357413649559,
0.006519319489598274,
0.015250302851200104,
0.009781292639672756,
0.01730465143918991,
-0.0068061877973377705,
0.01597210019826889,
0.03614543750882149,
0.019266461953520775,
-0.012705501168966293,
0.04467746242880821,
-0.02803908847272396,
0.0027460723649710417,
-0.004191982559859753,
-0.012178032658994198,
-0.01625896990299225,
-0.035886332392692566,
-0.015222541056573391,
-0.011502503417432308,
-0.030408067628741264,
-0.0019710646010935307,
0.0022937916219234467,
0.014861642383038998,
-0.025966230779886246,
-0.004668554291129112,
-0.021709471940994263,
-0.033110182732343674,
0.009022478945553303,
-0.01429715845733881,
-0.021653948351740837,
0.011224889196455479,
-0.012566693127155304,
-0.04563986137509346,
-0.031111357733607292,
0.0792127400636673,
-0.061667487025260925,
0.017008529976010323,
-0.045713894069194794,
-0.026762060821056366,
-0.030537620186805725,
0.046084046363830566,
-0.046232108026742935,
0.022005595266819,
-0.06066807359457016,
0.014806118793785572,
0.0025424882769584656,
-0.011872656643390656,
0.05400531738996506,
0.027965057641267776,
0.021135734394192696,
0.039014123380184174,
-0.004617658443748951,
-0.03997652232646942,
-0.02430054359138012,
0.0034724976867437363,
0.00965173915028572,
0.011150858364999294,
0.0053348299115896225,
-0.013510583899915218,
-0.030537620186805725,
-0.0007813698030076921,
0.016175685450434685,
0.02402292750775814,
0.013177446089684963,
0.00633886968716979,
-0.0064499154686927795,
-0.024911295622587204,
-0.002133006462827325,
-0.001508373417891562,
0.017961673438549042,
0.0024522633757442236,
0.00374085851944983,
-0.00015543533663731068,
0.04900825396180153,
0.03568274527788162,
-0.017896896228194237,
0.031203895807266235,
-0.017212113365530968,
0.054967716336250305,
0.04715748876333237,
0.002866372000426054,
0.07310521602630615,
0.015611201524734497,
0.01356610655784607,
0.04345595836639404,
-0.03518303856253624,
-0.0178691353648901,
0.02013632096350193,
-0.0035927973221987486,
-0.048934224992990494,
-0.002845550887286663,
-0.05222858488559723,
0.01743420585989952,
0.03660812973976135,
-0.025855185464024544,
0.02217216230928898,
0.03018597513437271,
0.04412223398685455,
-0.024800248444080353
] |
Protein-protein interactions (PPIs) are crucial in various biological
processes and their study has significant implications for drug development and
disease diagnosis. Existing deep learning methods suffer from significant
performance degradation under complex real-world scenarios due to various
factors, e.g., label scarcity and domain shift. In this paper, we propose a
self-ensembling multigraph neural network (SemiGNN-PPI) that can effectively
predict PPIs while being both efficient and generalizable. In SemiGNN-PPI, we
not only model the protein correlations but explore the label dependencies by
constructing and processing multiple graphs from the perspectives of both
features and labels in the graph learning process. We further marry GNN with
Mean Teacher to effectively leverage unlabeled graph-structured PPI data for
self-ensemble graph learning. We also design multiple graph consistency
constraints to align the student and teacher graphs in the feature embedding
space, enabling the student model to better learn from the teacher model by
incorporating more relationships. Extensive experiments on PPI datasets of
different scales with different evaluation settings demonstrate that
SemiGNN-PPI outperforms state-of-the-art PPI prediction methods, particularly
in challenging scenarios such as training with limited annotations and testing
on unseen data. | [
-0.05110415443778038,
0.049565259367227554,
-0.03494575247168541,
0.03116263449192047,
0.05171330273151398,
0.015589332208037376,
0.0359075628221035,
0.0005891084438189864,
-0.015525211580097675,
0.02449408732354641,
-0.02175292931497097,
-0.028164993971586227,
0.0144191300496459,
-0.01846674643456936,
-0.023628458380699158,
0.04385852441191673,
0.015685513615608215,
0.007149452343583107,
-0.016831669956445694,
-0.04491651430726051,
0.013954255729913712,
-0.06662135571241379,
0.01251154113560915,
-0.028485598042607307,
0.05267511308193207,
0.02282695099711418,
0.07021211087703705,
0.00913719180971384,
-0.03577931970357895,
0.05732385814189911,
-0.03157941997051239,
0.015621392987668514,
0.06630074977874756,
0.0013525448739528656,
-0.059503961354494095,
0.012647797353565693,
0.052418630570173264,
0.03661289066076279,
-0.01251955609768629,
-0.015925966203212738,
-0.0013715807581320405,
0.041870784014463425,
0.008952844887971878,
-0.00470084510743618,
0.03103439323604107,
0.0019947532564401627,
-0.06649310886859894,
-0.02872605063021183,
-0.00462069408968091,
-0.029607709497213364,
0.01615038886666298,
0.04001128301024437,
-0.05039883032441139,
-0.043153196573257446,
-0.06707019358873367,
0.005630594212561846,
0.03571520000696182,
0.008479955606162548,
0.03334273770451546,
0.005093583837151527,
-0.07482879608869553,
0.05286747217178345,
-0.022346045821905136,
-0.006175620015710592,
0.027219215407967567,
-0.029751980677247047,
-0.03536253795027733,
-0.03872887045145035,
0.05668265372514725,
-0.04581420123577118,
-0.04783400148153305,
-0.019476646557450294,
0.02216971293091774,
-0.021480416879057884,
-0.035843443125486374,
0.020646847784519196,
0.0612352192401886,
0.046615708619356155,
0.050527069717645645,
-0.03029700554907322,
0.05501551553606987,
0.04296083375811577,
-0.002134015318006277,
0.035843443125486374,
0.08912769705057144,
-0.02585665136575699,
0.012239028699696064,
-0.04142193868756294,
-0.00929749384522438,
0.03318243473768234,
-0.01124515850096941,
0.011493626050651073,
-0.0014046429423615336,
0.039754800498485565,
-0.017040062695741653,
0.020021671429276466,
0.002871402772143483,
-0.01251154113560915,
-0.02598489262163639,
0.01245543546974659,
-0.009481840766966343,
-0.012303149327635765,
-0.021897200495004654,
0.004716875031590462,
-0.0002775221655610949,
-0.02407730370759964,
-0.025503987446427345,
0.010147091932594776,
-0.004865154158324003,
0.13324271142482758,
-0.027956601232290268,
0.01045968011021614,
-0.01372181810438633,
0.024301724508404732,
-0.026978762820363045,
-0.01461950782686472,
-0.11772550642490387,
-0.041550178080797195,
0.012022620998322964,
-0.07309753447771072,
0.03282977268099785,
0.014563402161002159,
-0.02872605063021183,
-0.054117824882268906,
-0.06248557195067406,
0.030024493113160133,
-0.05123239755630493,
-0.017280515283346176,
-0.029816100373864174,
0.02417348325252533,
-0.00970626249909401,
0.024317756295204163,
0.01188636478036642,
-0.023676548153162003,
0.023580368608236313,
0.019140012562274933,
0.03686937317252159,
-0.018643077462911606,
0.01997358165681362,
-0.03728615492582321,
0.007397919427603483,
0.03153132647275925,
-0.004516498185694218,
-0.06399240344762802,
0.06995562463998795,
-0.002891440410166979,
0.0053019761107862,
0.08476749807596207,
0.03133896738290787,
0.008728423155844212,
-0.07572648674249649,
0.008175382390618324,
0.04959731921553612,
0.03811972588300705,
-0.001225305488333106,
0.002661006757989526,
0.01679961010813713,
-0.003468526294454932,
0.002514731604605913,
-0.0388571135699749,
0.053893402218818665,
0.007810696493834257,
-0.026049012318253517,
0.045237116515636444,
-0.040492188185453415,
0.06299853324890137,
0.04744927957653999,
-0.013329079374670982,
-0.08444689214229584,
0.04395470395684242,
0.002791251987218857,
0.009834504686295986,
0.02026212401688099,
0.0003606786485761404,
-0.021272024139761925,
0.04728897660970688,
0.027860421687364578,
-0.014611492864787579,
0.011910410597920418,
0.0359075628221035,
0.0026509880553931,
0.01804996281862259,
-0.04312113672494888,
0.030585547909140587,
0.028036752715706825,
0.029912281781435013,
0.04116545617580414,
0.02523147501051426,
0.015990085899829865,
0.04594244435429573,
-0.013016491197049618,
0.02207353338599205,
0.02428569458425045,
-0.03629228472709656,
0.024670418351888657,
-0.027058912441134453,
-0.02239413559436798,
0.05376516282558441,
-0.0003331268089823425,
-0.04305701330304146,
-0.033631280064582825,
-0.049244657158851624,
0.006131536792963743,
-0.01997358165681362,
0.013329079374670982,
0.008151337504386902,
-0.0011912414338439703,
-0.022297954186797142,
-0.0031258815433830023,
-0.02377272956073284,
-0.007470055483281612,
-0.01804996281862259,
-0.07720126211643219,
-0.04719279706478119,
0.00918528251349926,
-0.04616686701774597,
0.018322475254535675,
0.030024493113160133,
-0.024991022422909737,
-0.03895329311490059,
-0.01941252499818802,
0.06431300938129425,
0.056650590151548386,
-0.004272038117051125,
0.00596322026103735,
0.016543127596378326,
-0.008335684426128864,
-0.00017395229951944202,
0.022859010845422745,
0.0382479652762413,
0.030232885852456093,
-0.054310187697410583,
-0.010587922297418118,
-0.010443650186061859,
-0.004115744028240442,
-0.020775089040398598,
0.023997152224183083,
-0.013112672604620457,
-0.04478827118873596,
0.0037530616391450167,
0.03375951945781708,
-0.02904665283858776,
-0.053893402218818665,
0.018210263922810555,
0.06094667315483093,
0.05940777808427811,
0.013689758256077766,
0.06880145519971848,
0.013505411334335804,
0.008059163577854633,
-0.08098437637090683,
-0.057163555175065994,
-0.012607722543179989,
0.001934640109539032,
-0.07213573157787323,
0.02925504557788372,
0.016086267307400703,
-0.006480192765593529,
0.012271088548004627,
-0.060433708131313324,
0.015124457888305187,
-0.002484675031155348,
-0.0344327874481678,
0.045974504202604294,
0.019027801230549812,
-0.004680807236582041,
0.001832447829656303,
0.003402401925995946,
0.03866475075483322,
0.04879581183195114,
0.012928325682878494,
-0.05700325593352318,
-0.050206467509269714,
-0.020502576604485512,
-0.023788759484887123,
-0.04613480716943741,
0.07591884583234787,
-0.001982730580493808,
0.06280617415904999,
-0.020037701353430748,
-0.008624226786196232,
-0.03895329311490059,
-0.0279726330190897,
0.028469568118453026,
0.016751518473029137,
-0.045878324657678604,
-0.041229575872421265,
-0.009962745942175388,
-0.0450126938521862,
-0.01691182143986225,
-0.0019697060342878103,
-0.03924183547496796,
-0.000719854433555156,
0.01899574138224125,
0.04953319951891899,
0.029062682762742043,
-0.0700838640332222,
0.03779911994934082,
0.04373028129339218,
-0.0028253160417079926,
-0.01827438361942768,
0.014667597599327564,
0.02141629531979561,
-0.035202234983444214,
-0.02936725690960884,
-0.006095468997955322,
-0.022778859362006187,
0.0909871980547905,
-0.03629228472709656,
-0.02681845985352993,
0.007165482267737389,
0.02725127525627613,
-0.0106680728495121,
0.0070212106220424175,
-0.013401214964687824,
0.034464847296476364,
0.02111172303557396,
-0.02228192426264286,
0.007389904465526342,
-0.0762394517660141,
-0.018530866131186485,
0.011076841503381729,
-0.09105131775140762,
0.017232423648238182,
0.02016594260931015,
0.06578778475522995,
-0.031226754188537598,
0.05588114261627197,
-0.002675033174455166,
-0.01944458670914173,
0.0028333310037851334,
-0.012992446310818195,
-0.05245069041848183,
0.022746799513697624,
-0.02173689939081669,
0.027107004076242447,
-0.035202234983444214,
0.03709379583597183,
-0.01712021231651306,
0.034464847296476364,
-0.03741439804434776,
0.024237604811787605,
-0.0001659372210269794,
0.006580381188541651,
0.051360636949539185,
-0.0015960029559209943,
-0.029735950753092766,
0.030601579695940018,
0.014010361395776272,
0.01467561349272728,
0.0006672554882243276,
-0.003530643181875348,
-0.013737848959863186,
0.05953602120280266,
0.016310689970850945,
-0.004540543537586927,
-0.015493151731789112,
0.008375759236514568,
-0.01584581471979618,
0.010251288302242756,
0.032573290169239044,
-0.04235168918967247,
-0.006211687810719013,
0.06463361531496048,
-0.07104567438364029,
-0.018082022666931152,
-0.03792736306786537,
0.016398854553699493,
0.011653927154839039,
0.028870321810245514,
-0.023195644840598106,
0.006211687810719013,
0.015276744030416012,
0.004712867550551891,
-0.0047048525884747505,
0.035747259855270386,
0.06254968792200089,
0.026145193725824356,
-0.02279488928616047,
0.016126342117786407,
-0.025936800986528397,
0.028020722791552544,
-0.03940213844180107,
-0.005742805544286966,
-0.017601117491722107,
-0.0055744885466992855,
0.04552565887570381,
-0.011341338977217674,
-0.0057708583772182465,
-0.018611017614603043,
0.013056566938757896,
-0.08726820349693298,
-0.015196593478322029,
-0.009858549572527409,
0.012351240031421185,
-0.012206967920064926,
0.030345095321536064,
0.03613198548555374,
0.06373592466115952,
0.007105369120836258,
-0.047769881784915924,
0.002474656328558922,
-0.030986303463578224,
-0.04696837440133095,
-0.007413949817419052,
-0.05322013795375824,
0.015485135838389397,
-0.039979223161935806,
0.014395085163414478,
0.02047051675617695,
0.02915886417031288,
-0.03050539828836918,
0.00730975391343236,
-0.0066044265404343605,
0.05652235075831413,
0.043986763805150986,
-0.006852894090116024,
0.012367269955575466,
0.04793018475174904,
0.026882581412792206,
0.013617622666060925,
-0.011509655974805355,
0.05382928252220154,
-0.04379440099000931,
-0.01266382820904255,
0.02141629531979561,
-0.01039555948227644,
-0.02058272808790207,
-0.001256363932043314,
-0.039338018745183945,
0.06694195419549942,
-0.07444407045841217,
-0.03286183252930641,
-0.04719279706478119,
-0.02226589433848858,
0.007838749326765537,
0.020775089040398598,
-0.024237604811787605,
-0.008231488056480885,
-0.015220638364553452,
-0.020198004320263863,
-0.011325309053063393,
-0.010010835714638233,
-0.020422426983714104,
-0.0027732180897146463,
-0.0197331290692091,
0.015076367184519768,
-0.07591884583234787,
-0.04347379878163338,
-0.014379055239260197,
-0.02965579926967621,
-0.03239695727825165,
-0.08463925123214722,
-0.01003488153219223,
0.06604426354169846,
0.018290415406227112,
-0.03568314015865326,
-0.015340864658355713,
0.0764959305524826,
-0.025151323527097702,
-0.0307458508759737,
0.030216854065656662,
-0.0005021949182264507,
-0.01124515850096941,
-0.016198478639125824,
0.0645374283194542,
-0.010860434733331203,
-0.006259778048843145,
0.025840621441602707,
0.02513529360294342,
0.021672777831554413,
-0.020342275500297546,
0.030248915776610374,
-0.004416309762746096,
0.03978686034679413,
-0.00725765572860837,
0.0034865601919591427,
-0.054759033024311066,
0.0091291768476367,
0.028565747663378716,
0.016959911212325096,
0.030601579695940018,
-0.005053508561104536,
0.02333991602063179,
-0.004187879618257284,
0.00803111121058464,
0.04885993152856827,
-0.0024926902260631323,
0.03895329311490059,
-0.023404035717248917,
-0.00036694042501039803,
0.039754800498485565,
-0.028758110478520393,
-0.024991022422909737,
0.059183355420827866,
0.014867975376546383,
0.012800084426999092,
-0.005153696984052658,
0.10611966997385025,
0.053284257650375366,
0.01994152180850506,
-0.04571802169084549,
0.00728570856153965,
0.04013952612876892,
0.015685513615608215,
-0.02132011577486992,
0.03347097709774971,
0.021993381902575493,
-0.018723228946328163,
0.0254558976739645,
0.0014507296727970243,
0.040588367730379105,
-0.004556573461741209,
0.02850162796676159,
-0.011509655974805355,
0.042511988431215286,
-0.010820358991622925,
-0.0003005655307788402,
0.026866551488637924,
0.05309189483523369,
0.00022154184989631176,
0.0316595695912838,
-0.019300315529108047,
0.0023283809423446655,
-0.045782141387462616,
-0.003111855126917362,
-0.014266843907535076,
-0.03286183252930641,
0.059920743107795715,
-0.011173022910952568,
-0.022522376850247383,
-0.048603449016809464,
-0.031403087079524994,
-0.012816114351153374,
-0.03391982242465019,
0.004468407481908798,
0.028421476483345032,
0.011605837382376194,
-0.02333991602063179,
-0.027700118720531464,
-0.012054681777954102,
0.0019456609152257442,
-0.02006976306438446,
0.004031585529446602,
0.03609992563724518,
0.005546436179429293,
0.039754800498485565,
-0.04212726652622223,
-0.00022279420227278024,
0.03863269090652466,
0.019765188917517662,
-0.015573302283883095,
0.03866475075483322,
-0.016655338928103447,
0.0117741534486413,
-0.04655158892273903,
-0.003997521474957466,
-0.015525211580097675,
0.0091291768476367,
-0.035843443125486374,
0.012687873095273972,
0.04244786873459816,
-0.023211674764752388,
-0.020021671429276466,
-0.011285234242677689,
-0.0411975160241127,
0.024862781167030334,
0.056971196085214615,
0.04879581183195114,
0.00813931506127119,
-0.006668547168374062,
-0.011541716754436493,
-0.014595462009310722,
-0.007321776356548071,
0.006848886609077454,
0.0281008742749691,
0.03513811528682709,
-0.022410165518522263,
-0.023596398532390594,
-0.0022782867308706045,
0.01901177130639553,
-0.028774140402674675,
0.02555207721889019,
0.009032996371388435,
0.021993381902575493,
-0.013761893846094608,
0.036067865788936615,
-0.06190848350524902,
-0.025183383375406265,
-0.005875054281204939,
0.0307458508759737,
0.01563742198050022,
0.006508245598524809,
-0.02492690086364746,
-0.02377272956073284,
-0.017456846311688423,
0.008415834978222847,
-0.023740669712424278,
0.07162275910377502,
-0.0314832367002964,
0.03217253461480141,
-0.0016260595293715596,
0.023307854309678078,
0.008640257641673088,
0.004079676233232021,
-0.0004222945717629045,
-0.003979487810283899,
0.031114544719457626,
0.02451011724770069,
0.014274858869612217,
-0.014859959483146667,
0.03138705715537071,
-0.002554807113483548,
-0.07662416994571686,
0.015108427032828331,
-0.006969112902879715,
0.021881170570850372,
-0.011677972972393036,
-0.00866430252790451,
-0.03181987255811691,
0.0700838640332222,
-0.040492188185453415,
0.052963655441999435,
0.014058452099561691,
0.01678358018398285,
0.02364448830485344,
0.011902394704520702,
-0.015020261518657207,
-0.004612679127603769,
-0.00024245619715657085,
-0.04594244435429573,
0.0008651277748867869,
-0.017553027719259262,
-0.0464874692261219,
-0.004029581788927317,
-0.03834414854645729,
-0.008840634487569332,
-0.010708147659897804,
0.021720869466662407,
0.0322687141597271,
0.0006407055188901722,
0.004063645843416452,
0.03177177906036377,
0.010700132697820663,
-0.01941252499818802,
0.01072417851537466,
-0.00929749384522438,
-0.03831208497285843,
0.017472876235842705,
0.010243273340165615,
0.04247992858290672,
0.012222998775541782,
0.019027801230549812,
0.011221113614737988,
0.0004247992765158415,
-0.05414988473057747,
0.03223665431141853,
0.012487496249377728,
-0.005534413270652294,
0.045685961842536926,
0.005875054281204939,
0.0001446471578674391,
0.0058710468001663685,
-0.01457943208515644,
0.03517017513513565,
0.007878824137151241,
-0.007425972260534763,
0.02333991602063179,
0.031627509742975235,
0.026962732896208763,
0.025600168853998184,
-0.04690425470471382,
-0.016735488548874855,
0.004416309762746096,
0.03920977562665939,
-0.06136345863342285,
0.00594318239018321,
-0.015036291442811489,
0.01039555948227644,
-0.03760676085948944,
-0.0382479652762413,
0.008976890705525875,
-0.001915604341775179,
-0.030264945700764656,
-0.011677972972393036,
-0.0003499083686619997,
-0.02080715075135231,
0.020871270447969437,
-0.007538183592259884,
0.050623249262571335,
-0.004680807236582041,
-0.008920785039663315,
0.027956601232290268,
0.002745165256783366,
0.062036726623773575,
-0.006115506868809462,
0.0051216366700828075,
0.012062696740031242,
0.0044443621300160885,
0.005606548860669136,
-0.022987252101302147,
0.008155344985425472,
0.0029094743076711893,
0.015332849696278572,
-0.009465810842812061,
0.035330478101968765,
0.007782643660902977,
0.006660532206296921,
0.024686448276042938,
0.012174908071756363,
0.04356997832655907,
-0.006331914104521275,
0.0010169133311137557,
0.02553604729473591,
0.03751057758927345,
0.034593090415000916,
-0.03920977562665939,
0.030248915776610374,
0.01446722075343132,
0.02713906392455101,
-0.00398349529132247,
0.03239695727825165,
-0.011389429681003094,
-0.03674113005399704,
-0.036901433020830154,
-0.010756238363683224,
-0.0186911690980196,
0.0035847448743879795,
-0.017504936084151268,
-0.006111499387770891,
0.04318525642156601,
0.01526071410626173,
-0.0022281925193965435,
0.009433750063180923,
0.033310677856206894,
-0.02079111896455288,
-0.021288054063916206,
0.01700800098478794,
0.009481840766966343,
-0.019797250628471375,
0.018242323771119118,
-0.022666648030281067,
-0.004500467795878649,
0.005766850896179676,
-0.022121623158454895,
0.0027351463213562965,
0.037863243371248245,
0.03760676085948944,
-0.0023564337752759457,
-0.012094756588339806,
0.019669009372591972,
-0.008744453079998493,
0.044595908373594284,
-0.02364448830485344,
-0.058445971459150314,
0.010996690951287746,
0.020855240523815155,
-0.03686937317252159,
-0.039113596081733704,
-0.04507681354880333,
-0.0021861132699996233,
-0.015228653326630592,
0.02112775295972824,
0.0024526147171854973,
0.0032400963827967644,
0.009898625314235687,
-0.058253608644008636,
-0.020630817860364914,
-0.024878811091184616,
0.019765188917517662,
0.03157941997051239,
-0.017264483496546745,
0.05642617121338844,
0.011581791564822197,
-0.00843987986445427,
0.0038893180899322033,
-0.004392264410853386,
-0.0007849769899621606,
-0.027395546436309814,
0.02228192426264286,
-0.024029212072491646,
-0.025407806038856506,
0.017056092619895935,
0.019348405301570892,
-0.011621867306530476,
0.009529931470751762,
0.005802918691188097,
-0.023307854309678078,
-0.036580830812454224,
-0.03603580221533775,
-0.014555387198925018,
-0.028373386710882187,
0.020566698163747787,
0.026161223649978638,
0.02683449164032936,
-0.00657236622646451,
-0.038921233266592026,
0.022362075746059418,
-0.028357356786727905,
-0.0464874692261219,
0.012239028699696064,
-0.04161430150270462,
0.06158788129687309,
0.07405934482812881,
-0.01593398116528988,
-0.041646361351013184,
-0.005173734854906797,
-0.038376208394765854,
-0.015356894582509995,
-0.03706173226237297,
0.005205795168876648,
0.013280988670885563,
-0.005863031838089228,
-0.0064681703224778175,
0.038280025124549866,
-0.03488163277506828,
-0.00585902389138937,
0.012599707581102848,
-0.04183872044086456,
-0.014074482023715973,
-0.003258130280300975,
-0.01378593873232603,
-0.04004334285855293,
-0.010547846555709839,
-0.014074482023715973,
-0.03597168251872063,
0.049372896552085876,
-0.01880338042974472,
0.06267793476581573,
-0.01525269914418459,
0.021993381902575493,
0.024013182148337364,
0.01814614236354828,
0.03180384263396263,
-0.04443560913205147,
0.06549923866987228,
0.03728615492582321,
0.03917771577835083,
-0.029832130298018456,
-0.017969811335206032,
-0.01571757346391678,
0.010403575375676155,
-0.021913230419158936,
-0.018627047538757324,
-0.0021300078369677067,
0.005318006034940481,
-0.005730782635509968,
0.010219228453934193,
0.05924747884273529,
0.013842044398188591,
-0.0029996440280228853,
0.00021427817409858108,
0.014948125928640366,
-0.006035355851054192,
0.02470248006284237,
0.013521441258490086,
-0.0054542627185583115,
0.006396034732460976,
0.012984431348741055,
0.005730782635509968,
0.021913230419158936,
-0.017072122544050217,
0.0010204199934378266,
0.0003494074335321784,
-0.009794428944587708,
-0.0070011732168495655,
0.025568107143044472,
-0.027507757768034935,
-0.008880709297955036,
-0.03124278597533703,
-0.009057041257619858,
-0.01678358018398285,
-0.005217817611992359,
0.05350868031382561,
-0.01657518744468689,
0.03279770910739899,
-0.008035118691623211,
-0.013585561886429787,
-0.020678909495472908,
-0.025568107143044472,
-0.003530643181875348,
-0.03254122659564018,
0.02175292931497097,
-0.004789010621607304,
0.014980185776948929,
0.03347097709774971,
0.017985841259360313,
-0.05363691970705986,
-0.044403549283742905,
-0.008247517980635166,
-0.02862986922264099,
-0.034593090415000916,
-0.014827899634838104,
0.01774538867175579,
-0.003021685406565666,
0.007450017612427473,
0.029495498165488243,
0.015413000248372555,
-0.0367731899023056,
-0.014964155852794647,
-0.011621867306530476,
-0.035009872168302536,
-0.010010835714638233,
-0.03484957292675972,
0.041325755417346954,
0.007145444396883249,
0.0239811223000288,
-0.060561951249837875,
0.0119264405220747,
0.02587268128991127,
0.012439405545592308,
-0.03369539976119995,
-0.006195657420903444,
-0.044179126620292664,
0.02670625038444996,
0.04982174187898636,
0.03882504999637604,
0.02808484248816967,
0.03549077734351158,
0.03645258769392967,
0.025584138929843903,
-0.005482315551489592,
-0.007610319182276726,
0.027956601232290268,
-0.04106927290558815,
0.02681845985352993,
0.018082022666931152,
0.024766599759459496,
0.012503526173532009,
0.030970271676778793,
-0.027427606284618378,
0.03751057758927345,
-0.004584626294672489,
0.011758123524487019,
0.04257610812783241,
-0.030264945700764656,
-0.01974915899336338,
-0.043890584260225296,
-0.0037791107315570116,
0.008043133653700352,
-0.03882504999637604,
0.027539817616343498,
-0.020775089040398598,
0.00993068516254425,
-0.007999050430953503,
-0.013970285654067993,
0.017601117491722107,
0.055496420711278915,
-0.005133659113198519,
-0.048411089926958084,
-0.0013525448739528656,
-0.05700325593352318,
0.019075892865657806,
-0.006620456930249929,
-0.028661929070949554,
0.023179613053798676,
-0.012295134365558624,
0.015036291442811489,
-0.03674113005399704,
0.004348181188106537,
-0.019268253818154335,
0.012198952957987785,
-0.06533893942832947,
-0.000474142114399001,
-0.029928311705589294,
0.0119264405220747,
-0.02734745666384697,
-0.03481751307845116,
-0.020726999267935753,
-0.031948111951351166,
0.016046192497015,
0.007983020506799221,
0.07021211087703705,
0.0238528810441494,
-0.029800070449709892,
0.02923901565372944,
0.0024405920412391424,
-0.024734539911150932,
-0.01920413412153721,
0.041550178080797195,
0.0491805374622345,
0.0046607693657279015,
0.008632241748273373,
0.025311624631285667,
-0.015613377094268799,
-0.06989150494337082,
0.013168778270483017,
-0.022121623158454895,
-0.053059834986925125,
0.018306445330381393,
-0.01308862678706646,
0.03863269090652466,
0.03324655443429947,
-0.037318214774131775,
0.004496460314840078,
0.010235258378088474,
-0.008872694335877895,
-0.014483250677585602,
-0.03244504705071449,
0.014170663431286812,
-0.011533701792359352,
-0.05735591799020767,
0.009674202650785446,
0.021801019087433815,
0.032589320093393326,
0.024013182148337364,
0.036260224878787994,
-0.004825078882277012,
-0.03230077773332596,
0.01784157007932663,
0.01931634545326233,
-0.012415360659360886,
-0.010796314105391502,
0.006183634977787733,
-0.019140012562274933,
-0.017360664904117584,
-0.03882504999637604,
0.03718997538089752,
0.009626111947000027,
0.0032901905942708254,
-0.021079663187265396,
-0.012872220017015934,
0.01687975972890854,
0.02037433534860611
] |
Emerging Artificial Intelligence-enabled Internet-of-Things (AI-IoT)
System-on-a-Chip (SoC) for augmented reality, personalized healthcare, and
nano-robotics need to run many diverse tasks within a power envelope of a few
tens of mW over a wide range of operating conditions: compute-intensive but
strongly quantized Deep Neural Network (DNN) inference, as well as signal
processing and control requiring high-precision floating-point. We present
Marsellus, an all-digital heterogeneous SoC for AI-IoT end-nodes fabricated in
GlobalFoundries 22nm FDX that combines 1) a general-purpose cluster of 16
RISC-V Digital Signal Processing (DSP) cores attuned for the execution of a
diverse range of workloads exploiting 4-bit and 2-bit arithmetic extensions
(XpulpNN), combined with fused MAC&LOAD operations and floating-point support;
2) a 2-8bit Reconfigurable Binary Engine (RBE) to accelerate 3x3 and 1x1
(pointwise) convolutions in DNNs; 3) a set of On-Chip Monitoring (OCM) blocks
connected to an Adaptive Body Biasing (ABB) generator and a hardware control
loop, enabling on-the-fly adaptation of transistor threshold voltages.
Marsellus achieves up to 180 Gop/s or 3.32 Top/s/W on 2-bit precision
arithmetic in software, and up to 637 Gop/s or 12.4 Top/s/W on
hardware-accelerated DNN layers. | [
-0.013010533526539803,
0.05204213410615921,
-0.03600020334124565,
0.00795977283269167,
0.07309246063232422,
0.024119382724165916,
0.013179990462958813,
0.055468931794166565,
-0.005224925000220537,
0.0526823028922081,
0.017567044124007225,
0.0152793750166893,
0.09956541657447815,
-0.006731209345161915,
-0.04323036968708038,
0.04228894039988518,
-0.03200854733586311,
-0.00043040906894020736,
-0.030690548941493034,
-0.053623732179403305,
0.036470916122198105,
0.00983792170882225,
-0.03882448747754097,
-0.01220090501010418,
0.000010489933629287407,
-0.01905450038611889,
-0.013565976172685623,
0.03153783455491066,
-0.051439620554447174,
-0.02585160918533802,
0.06910080462694168,
0.03515291586518288,
-0.043606940656900406,
-0.009659050032496452,
-0.006834766361862421,
-0.051138363778591156,
0.041422825306653976,
0.012408019974827766,
0.029485521838068962,
-0.020673755556344986,
0.021295098587870598,
0.018188387155532837,
-0.015006360597908497,
0.057314131408929825,
0.023159125819802284,
0.0007607914158143103,
0.034230317920446396,
0.00665589515119791,
0.013048190623521805,
-0.01734110154211521,
0.011965548619627953,
-0.04334333911538124,
0.041422825306653976,
0.0007254878873936832,
-0.010506335645914078,
-0.028901835903525352,
0.08261971175670624,
0.08917205035686493,
0.036037858575582504,
-0.019082743674516678,
0.024797210469841957,
-0.011814920231699944,
-0.003932815045118332,
-0.026698894798755646,
-0.019864128902554512,
-0.006293445359915495,
0.030295148491859436,
0.04661950841546059,
0.00478010019287467,
-0.012332705780863762,
-0.061343442648649216,
-0.027734465897083282,
-0.01209734845906496,
-0.022669583559036255,
0.015514731407165527,
0.008679965510964394,
0.06055264174938202,
0.014535646885633469,
0.015637116506695747,
0.0015851291827857494,
0.05659864470362663,
0.029466692358255386,
0.014262632466852665,
0.02579512447118759,
0.058782756328582764,
0.015298203565180302,
-0.0015404113801196218,
-0.09549844264984131,
0.012087933719158173,
-0.012360948137938976,
-0.04854002222418785,
0.02502315305173397,
-0.007988015189766884,
0.013933132402598858,
0.07132257521152496,
0.03590605780482292,
-0.005559131503105164,
-0.029127778485417366,
0.02394992485642433,
-0.00891532190144062,
-0.010195664130151272,
0.02289552614092827,
0.012671619653701782,
-0.013528319075703621,
0.007343137636780739,
-0.02507963962852955,
-0.006830059457570314,
0.026359980925917625,
0.009475471451878548,
0.10137295722961426,
0.03123657777905464,
-0.04059436917304993,
0.00951312854886055,
0.01280341949313879,
-0.005827438551932573,
-0.004490611143410206,
-0.0280357226729393,
-0.05558190122246742,
-0.06484555453062057,
-0.014074346981942654,
0.009211871773004532,
0.015204060822725296,
0.00017960679542738944,
-0.025493867695331573,
-0.04097094014286995,
0.07045646011829376,
-0.033947888761758804,
-0.03950231522321701,
-0.016606787219643593,
0.016832729801535606,
-0.02099384181201458,
-0.014262632466852665,
-0.029485521838068962,
-0.036508575081825256,
0.027320237830281258,
0.0025748051702976227,
0.00797860138118267,
0.05539361760020256,
0.013048190623521805,
-0.012888147495687008,
0.013057604432106018,
0.0013638936216011643,
-0.019845299422740936,
-0.03153783455491066,
0.022801384329795837,
0.0005936879897490144,
-0.013537732884287834,
0.057954300194978714,
-0.007352551911026239,
0.033646631985902786,
-0.03633911535143852,
0.023347411304712296,
0.014450917951762676,
-0.02624700963497162,
0.04319271072745323,
0.03419266268610954,
0.01467686053365469,
-0.019252199679613113,
-0.02536206692457199,
0.008444608189165592,
0.0196381863206625,
-0.02720726653933525,
-0.017228130251169205,
0.015608874149620533,
0.03901277109980583,
0.016192559152841568,
-0.002097030635923147,
0.06631418317556381,
-0.031010635197162628,
0.025889266282320023,
0.019807642325758934,
0.003878682851791382,
0.0036033152136951685,
0.029466692358255386,
0.031801432371139526,
0.04989567771553993,
0.06992926448583603,
0.015251131728291512,
-0.07708411663770676,
0.015251131728291512,
0.0070418803952634335,
0.01856495812535286,
0.018979186192154884,
0.008308101445436478,
0.020730242133140564,
0.010619306936860085,
0.03965294361114502,
-0.03543534502387047,
0.017510559409856796,
-0.00653821649029851,
0.02114447019994259,
0.02293318323791027,
0.02754618041217327,
-0.02701898105442524,
0.012794004753232002,
-0.06311332434415817,
-0.009687293320894241,
0.01666327379643917,
0.004283497110009193,
0.03712991625070572,
-0.05004630610346794,
0.00039216355071403086,
0.006505266763269901,
0.03166963532567024,
0.027527350932359695,
-0.049632079899311066,
0.01632435992360115,
-0.04496259614825249,
0.04865299165248871,
0.02677420899271965,
-0.0024783089756965637,
-0.00007715295942034572,
-0.04070734232664108,
-0.09180805087089539,
0.01158897764980793,
-0.01847081445157528,
0.03658388927578926,
-0.04371991008520126,
-0.0049519105814397335,
0.010760520584881306,
-0.00231355894356966,
-0.05482875928282738,
-0.02895832248032093,
-0.02886417880654335,
0.005643859971314669,
-0.01684214547276497,
0.0034244440030306578,
0.009894407354295254,
0.00653821649029851,
0.02022187039256096,
-0.0027113123796880245,
0.030389292165637016,
0.020391328260302544,
0.032385118305683136,
0.014460332691669464,
-0.019694671034812927,
0.02779095061123371,
0.020541956648230553,
-0.05366139113903046,
0.048276420682668686,
-0.020466642454266548,
0.05535595864057541,
-0.025154953822493553,
-0.005653274245560169,
0.005761538632214069,
-0.002904305001720786,
-0.03338303416967392,
0.05008396506309509,
-0.018244871869683266,
0.04115922749042511,
0.0023653374519199133,
-0.016578545793890953,
-0.0016592666506767273,
0.04149813950061798,
-0.06887486577033997,
0.003410322591662407,
0.010233321227133274,
-0.04635591059923172,
0.006651188246905804,
0.024571267887949944,
0.06092921271920204,
-0.014752174727618694,
0.01739758811891079,
0.018056586384773254,
-0.032140348106622696,
0.011014706455171108,
0.0009178922045975924,
0.04579105228185654,
0.020108899101614952,
-0.020862042903900146,
-0.0004398233431857079,
-0.042062997817993164,
-0.044096481055021286,
0.011042948812246323,
0.06141875684261322,
-0.04590402543544769,
-0.016145488247275352,
0.0384855717420578,
-0.012662204913794994,
-0.00533318892121315,
0.026661237701773643,
0.05159024894237518,
0.0535484179854393,
-0.036376774311065674,
-0.02662358060479164,
-0.02560683898627758,
-0.028826521709561348,
-0.00603925995528698,
-0.002297084080055356,
-0.03920105844736099,
-0.03276168927550316,
0.015222889371216297,
-0.027226094156503677,
0.016860973089933395,
0.04680779576301575,
-0.031895577907562256,
-0.000021899229977861978,
-0.07098366320133209,
0.02711312286555767,
-0.00030625826912000775,
-0.0284311231225729,
0.03712991625070572,
0.024420639500021935,
-0.03724288567900658,
-0.048916593194007874,
-0.00951312854886055,
0.004867182113230228,
0.039389342069625854,
0.02123861387372017,
0.004789514467120171,
0.02575746737420559,
0.039238713681697845,
-0.004132868256419897,
-0.020466642454266548,
-0.005926288664340973,
0.03566128760576248,
0.026943666860461235,
0.010779349133372307,
-0.005587374325841665,
-0.023554526269435883,
0.005695638712495565,
-0.01098646316677332,
-0.12660321593284607,
0.05136430636048317,
-0.01054399274289608,
0.026115208864212036,
-0.003174965502694249,
0.07968245446681976,
-0.045414481312036514,
-0.004598875064402819,
-0.003323240438476205,
-0.026642410084605217,
0.0021452787332236767,
-0.0069100805558264256,
0.019788814708590508,
-0.02720726653933525,
-0.011683120392262936,
0.02615286596119404,
-0.009635514579713345,
0.03353366255760193,
0.060816243290901184,
0.007023051846772432,
-0.054602816700935364,
-0.018527301028370857,
-0.010553406551480293,
0.0041281613521277905,
-0.04537682235240936,
-0.00007071741856634617,
-0.03712991625070572,
-0.01868734322488308,
0.0011308902176097035,
-0.005088417790830135,
0.011993790976703167,
0.027470866218209267,
0.07290417701005936,
-0.010506335645914078,
-0.0371864028275013,
0.0008484618738293648,
-0.0033397155348211527,
-0.05983715504407883,
0.007686758879572153,
-0.05802961438894272,
0.014959288761019707,
0.03208386152982712,
-0.06593760848045349,
-0.00173105055000633,
0.04484962299466133,
-0.018037758767604828,
-0.014460332691669464,
0.04767390713095665,
-0.0011503072455525398,
0.05403796210885048,
-0.027433209121227264,
-0.02818635106086731,
-0.0042128898203372955,
-0.05769070237874985,
0.07109663635492325,
0.015844231471419334,
-0.04579105228185654,
0.049594420939683914,
-0.015458245761692524,
-0.007569080218672752,
-0.030257491394877434,
-0.015269960276782513,
0.0577283576130867,
-0.010647549293935299,
0.0459793396294117,
-0.06330160796642303,
-0.016898630186915398,
0.03728054463863373,
-0.018301358446478844,
-0.07143554836511612,
-0.002461833879351616,
-0.016465574502944946,
0.02901480719447136,
-0.005488524679094553,
0.03095414862036705,
-0.04669482260942459,
0.019412243738770485,
-0.017171645537018776,
-0.05151493474841118,
-0.033552490174770355,
-0.008802350610494614,
0.03150017559528351,
-0.02289552614092827,
-0.010525164194405079,
-0.00789858028292656,
-0.07640628516674042,
0.006886545103043318,
0.012775176204741001,
0.015684189274907112,
-0.05641035735607147,
0.01604193076491356,
0.001941694994457066,
0.010732278227806091,
-0.002127626910805702,
-0.027094295248389244,
-0.02317795529961586,
-0.004532975144684315,
-0.01939341425895691,
-0.07802554219961166,
0.03439977392554283,
0.025154953822493553,
-0.006594702135771513,
0.0686112642288208,
0.00037627696292474866,
0.0870632529258728,
-0.005639153067022562,
0.02114447019994259,
0.02025952748954296,
-0.016578545793890953,
-0.0007860923069529235,
0.015947788953781128,
-0.05592081695795059,
-0.03400437533855438,
-0.03246043249964714,
0.030596407130360603,
0.06895017623901367,
-0.021652841940522194,
-0.003445626003667712,
-0.007875043898820877,
-0.027150779962539673,
-0.04571573808789253,
0.009447229094803333,
-0.04661950841546059,
-0.022876698523759842,
-0.013641290366649628,
-0.013424761593341827,
-0.041573453694581985,
-0.040406085550785065,
-0.08352348208427429,
0.047598592936992645,
-0.04085797071456909,
0.01054399274289608,
0.01785888709127903,
-0.0030431656632572412,
0.05505470186471939,
-0.006364052649587393,
0.029523178935050964,
-0.048765964806079865,
0.0485023632645607,
0.05569487437605858,
0.01952521502971649,
-0.04048139974474907,
0.024646582081913948,
0.0330064631998539,
-0.05625972896814346,
-0.05516767501831055,
0.0011250063544139266,
0.027828607708215714,
0.006684137973934412,
0.03468220308423042,
0.0023782821372151375,
0.049104876816272736,
0.017133988440036774,
-0.006425245199352503,
-0.015477074310183525,
-0.05283293128013611,
-0.002873708726838231,
0.00780914444476366,
0.020203042775392532,
0.019261615350842476,
0.011843162588775158,
-0.019788814708590508,
0.0038551471661776304,
0.02920309267938137,
-0.004848353564739227,
0.03166963532567024,
0.039728257805109024,
-0.020918527618050575,
0.03667803108692169,
0.011683120392262936,
0.009447229094803333,
-0.03551065921783447,
-0.04997099190950394,
-0.05358607694506645,
-0.021389242261648178,
-0.036508575081825256,
0.010562821291387081,
0.03965294361114502,
-0.0644313246011734,
-0.024891354143619537,
-0.012229148298501968,
0.009696707129478455,
-0.058669786900281906,
0.017265787348151207,
0.03916339948773384,
0.06352755427360535,
-0.02007124200463295,
0.03543534502387047,
0.028412293642759323,
-0.02628466673195362,
0.015298203565180302,
-0.0276026651263237,
-0.03174494951963425,
-0.013443590141832829,
-0.009155386127531528,
-0.012850490398705006,
0.02459009550511837,
0.05068647861480713,
0.020541956648230553,
0.015928959473967552,
-0.04699607938528061,
0.033514831215143204,
-0.049104876816272736,
0.0019593467004597187,
0.01335886213928461,
-0.010054449550807476,
0.034908145666122437,
0.03630146011710167,
-0.002327680354937911,
0.03746882826089859,
-0.05750241503119469,
0.013773090206086636,
-0.01863085851073265,
0.038127828389406204,
-0.019158057868480682,
0.03317591920495033,
0.023893440142273903,
-0.03795837238430977,
-0.03357131779193878,
0.03562363237142563,
0.017567044124007225,
0.06360286474227905,
-0.061343442648649216,
0.021539870649576187,
0.05539361760020256,
-0.05132664740085602,
0.004384700208902359,
0.022820211946964264,
-0.027922751381993294,
-0.0196758434176445,
-0.014771003276109695,
-0.039539970457553864,
0.013453004881739616,
-0.013179990462958813,
0.031895577907562256,
-0.006886545103043318,
0.0016533826710656285,
-0.021954098716378212,
-0.03658388927578926,
-0.042062997817993164,
0.009117729030549526,
-0.01751997321844101,
-0.01221973355859518,
-0.00919304322451353,
-0.02293318323791027,
0.04948145151138306,
0.007187801878899336,
-0.0003030220977962017,
-0.012153834104537964,
0.01346241869032383,
-0.031085949391126633,
-0.019995927810668945,
-0.0046459464356303215,
0.05271996185183525,
-0.027188437059521675,
-0.008538750931620598,
-0.014705103822052479,
0.02603989467024803,
-0.0021264501847326756,
-0.026661237701773643,
0.05573252961039543,
0.005615617148578167,
0.01918630115687847,
-0.00785150844603777,
-0.006660602521151304,
-0.013217647559940815,
0.011890234425663948,
-0.03227214887738228,
0.04394585266709328,
0.017133988440036774,
-0.059309955686330795,
0.014987532049417496,
-0.011843162588775158,
-0.022048240527510643,
0.018743829801678658,
0.01326471846550703,
-0.0016616202192381024,
-0.06891252100467682,
0.004535329062491655,
0.023385068401694298,
-0.00014614197425544262,
0.008557579480111599,
-0.024608924984931946,
0.010063864290714264,
0.042062997817993164,
0.042891453951597214,
-0.03810900077223778,
0.009541371837258339,
0.001326236524619162,
-0.004191707819700241,
0.04130985587835312,
0.0066088237799704075,
-0.021031498908996582,
-0.03600020334124565,
0.05490407347679138,
-0.0014345007948577404,
-0.01810365915298462,
-0.0018863860750570893,
0.008830593898892403,
-0.0017416415503248572,
0.007206630427390337,
0.02366749756038189,
-0.036470916122198105,
0.06153172627091408,
-0.03193323314189911,
-0.024213524535298347,
0.006514681037515402,
-0.0368286594748497,
-0.01788713037967682,
0.006359345279633999,
-0.06405474990606308,
0.020523127168416977,
0.030935321003198624,
-0.01243626233190298,
0.010402778163552284,
-0.015138160437345505,
-0.04466133937239647,
-0.003528001019731164,
-0.0355294868350029,
0.022368326783180237,
0.04134751111268997,
-0.0050178105011582375,
-0.0039963615126907825,
0.06352755427360535,
-0.0001525407424196601,
-0.014959288761019707,
0.021219784393906593,
0.03810900077223778,
0.07651925832033157,
0.00056279735872522,
0.02041015587747097,
0.030972978100180626,
0.02250012569129467,
-0.030596407130360603,
0.04112156853079796,
-0.020127728581428528,
0.007103073410689831,
0.02877003699541092,
0.0038880971260368824,
0.010845249518752098,
-0.01000737864524126,
0.009371914900839329,
-0.005968652665615082,
-0.011890234425663948,
0.023441554978489876,
0.046431224793195724,
-0.037393514066934586,
0.03814665973186493,
0.00900475773960352,
-0.032196834683418274,
0.033364202827215195,
-0.01220090501010418,
-0.006429952569305897,
-0.045075565576553345,
0.0015827756142243743,
0.019845299422740936,
-0.014497989788651466,
-0.005813317373394966,
-0.0020793788135051727,
0.012690448202192783,
-0.030069205909967422,
0.00787033699452877,
-0.04496259614825249,
-0.019073329865932465,
0.0002332976000616327,
0.010308635421097279,
-0.026115208864212036,
0.03332654759287834,
-0.0041587576270103455,
-0.035548318177461624,
0.021370412781834602,
0.028977150097489357,
-0.007686758879572153,
0.05769070237874985,
-0.003085529897361994,
0.01798127219080925,
0.04872830584645271,
-0.06092921271920204,
-0.008778815157711506,
-0.007446694653481245,
0.004008129239082336,
-0.01570301689207554,
-0.006575873587280512,
0.03803368657827377,
0.018339015543460846,
-0.015354689210653305,
-0.029767949134111404,
0.0013132919557392597,
0.023554526269435883,
0.04933082312345505,
0.012982290238142014,
0.02716960944235325,
0.07230166345834732,
-0.011504248715937138,
-0.02118212729692459,
0.007446694653481245,
-0.043606940656900406,
0.0317826047539711,
0.04217597097158432,
-0.0003142015484627336,
-0.023460382595658302,
-0.05889572948217392,
-0.0007884458755142987,
0.03157548978924751,
-0.023987581953406334,
-0.022330669686198235,
-0.04812579229474068,
-0.004170525353401899,
-0.0006195772439241409,
-0.02483486756682396,
-0.033891402184963226,
0.0196381863206625,
0.010365121066570282,
-0.018790900707244873,
0.05471578985452652,
0.029993891716003418,
0.0000131193128254381,
0.011796091683208942,
-0.004947203677147627,
-0.014375603757798672,
0.006142816971987486,
0.008199837058782578,
0.004241132643073797,
-0.028600579127669334,
0.02059844136238098,
0.013198819011449814,
-0.02148338407278061,
-0.006811230909079313,
0.016051344573497772,
-0.05336013436317444,
0.021539870649576187,
-0.04654419422149658,
-0.055619560182094574,
-0.0326487198472023,
0.009371914900839329,
-0.02142689935863018,
0.04405882582068443,
-0.022537782788276672,
-0.025569181889295578,
0.04183705523610115,
-0.009197750128805637,
0.04854002222418785,
0.027866264805197716,
-0.030502263456583023,
-0.023874610662460327,
-0.03765711560845375,
0.01586305908858776,
0.04251488298177719,
0.03519057482481003,
0.01141952071338892,
0.029862092807888985,
-0.021445726975798607,
-0.0028242836706340313,
0.007338430266827345,
0.0035915474873036146,
0.04402116686105728,
-0.004055200610309839,
0.007512594573199749,
-0.029090121388435364,
-0.015091088600456715,
-0.00020667283388320357,
0.023723982274532318,
-0.043757569044828415,
-0.048765964806079865,
0.003713933052495122,
-0.02769680880010128,
0.01246450562030077,
0.023554526269435883,
-0.02410055324435234,
-0.011833748780190945,
-0.0106663778424263,
-0.010911148972809315,
0.017811816185712814,
0.00900475773960352,
0.03716757148504257,
0.025211438536643982,
-0.04168642684817314,
-0.008750571869313717,
0.049293164163827896,
-0.014535646885633469,
0.028901835903525352,
0.069477379322052,
-0.02886417880654335,
-0.02517378143966198,
-0.022180041298270226,
-0.018941529095172882,
0.01412141788750887,
-0.024721896275877953,
0.01982647180557251,
0.004175232723355293,
-0.01844257302582264,
0.05972418561577797,
-0.009141264483332634,
-0.022048240527510643,
-0.03795837238430977,
0.04085797071456909,
-0.02142689935863018,
-0.07674520462751389,
0.006095745600759983,
-0.017237544059753418,
0.021031498908996582,
0.007875043898820877,
0.025738637894392014,
-0.04631825163960457,
0.017021015286445618,
0.026849523186683655,
0.004577693063765764,
0.0284687802195549,
0.03697928786277771,
-0.016710344702005386,
-0.02916543558239937,
0.01275634765625,
-0.07825148850679398,
0.026510609313845634,
0.005328482016921043,
0.08171594142913818,
-0.06612589210271835,
0.05369904637336731,
0.0276026651263237,
0.030050378292798996,
-0.014629789628088474,
-0.013688361272215843,
-0.006618238054215908,
-0.00907065812498331,
0.005893338471651077,
0.031180091202259064,
0.021106813102960587,
-0.019318100064992905,
0.020466642454266548,
0.001993473619222641,
0.027226094156503677,
0.0021805823780596256,
-0.030257491394877434,
-0.03374077379703522,
0.04127219691872597,
-0.04884127900004387,
-0.004208182450383902,
0.002563037443906069,
-0.01847081445157528,
0.05972418561577797,
-0.01865909993648529,
-0.01757645793259144,
0.014375603757798672,
-0.020146556198596954,
-0.016983358189463615,
0.012426848523318768,
-0.04838939383625984,
-0.04330568388104439,
-0.019619356840848923,
-0.0022029413376003504,
0.0016474988078698516,
0.001105000963434577,
-0.010186249390244484,
0.03558597341179848,
-0.04349396750330925,
-0.029749121516942978,
-0.007893872447311878,
0.020918527618050575,
0.008374000899493694,
0.023403897881507874,
0.03987888619303703,
-0.014347361400723457,
0.06303801387548447,
0.017162229865789413,
-0.01982647180557251,
-0.051778532564640045,
0.0064581953920423985,
-0.026906009763479233,
-0.011626634746789932,
0.030747035518288612,
0.0276026651263237,
0.004330568481236696,
0.031123606488108635,
-0.024213524535298347,
-0.02794157899916172,
-0.0020134788937866688,
0.03236629068851471,
-0.027659151703119278,
0.010854663327336311,
-0.0652221217751503,
-0.050422877073287964,
-0.021031498908996582,
0.007013637572526932,
-0.0027748586144298315,
-0.014460332691669464,
-0.0015357042429968715,
0.0013815454440191388,
-0.04119688272476196,
-0.013443590141832829,
-0.03852323070168495,
-0.014300289563834667,
-0.004933082032948732,
-0.0024571267422288656,
-0.01589130237698555,
-0.053812019526958466,
-0.028111036866903305,
0.046958424150943756,
-0.004481196869164705,
0.012398605234920979,
0.051138363778591156,
-0.010355706326663494,
0.004561217967420816,
-0.008072744123637676,
0.013500075787305832,
-0.04616762325167656,
0.009772021323442459,
-0.009108315221965313,
0.025926923379302025,
-0.02585160918533802,
0.01654088869690895,
0.03168846294283867,
0.004641239531338215,
0.0042882040143013,
-0.026906009763479233,
-0.03984122723340988,
0.004601228982210159,
-0.01141952071338892,
-0.00140037399251014,
-0.04872830584645271,
0.004012836143374443,
-0.013697776012122631,
0.03166963532567024,
0.014319118112325668,
-0.03407968953251839,
0.02474072575569153,
0.031857918947935104,
-0.002450066152960062,
0.0718497782945633,
-0.020956184715032578,
0.03494580462574959,
-0.006274616811424494,
-0.003393847495317459,
0.020203042775392532,
-0.01841432973742485,
-0.010948806069791317,
-0.011965548619627953,
0.013933132402598858,
0.01798127219080925,
0.019958270713686943,
0.029673807322978973,
0.006994809024035931,
-0.01617373153567314,
0.032385118305683136,
0.015637116506695747,
-0.012313876301050186,
-0.028600579127669334,
-0.017783572897315025,
-0.00006803287396905944,
-0.017388172447681427,
-0.05776601657271385,
0.032968804240226746,
0.003563304664567113,
0.011240649037063122,
-0.027131952345371246,
0.03215917572379112,
-0.002357100136578083,
-0.014469746500253677,
-0.023064984008669853,
0.04251488298177719,
-0.050799448043107986,
0.0372617170214653,
0.018922699615359306,
-0.0064770239405334,
0.019139228388667107,
0.04270317032933235,
-0.019562872126698494,
-0.031029462814331055,
0.012746933847665787,
-0.01997710019350052,
0.022669583559036255,
0.01209734845906496,
-0.018451986834406853,
-0.015194646082818508,
0.0029984477441757917,
-0.007762073073536158,
-0.037450000643730164,
-0.0040387255139648914,
-0.010478092357516289,
-0.008166886866092682,
-0.060138411819934845,
-0.026077551767230034,
0.0038763293996453285,
0.006839473731815815,
0.0067594521678984165,
0.018028344959020615,
-0.01890387199819088,
-0.05305887386202812,
-0.017378758639097214,
0.015806574374437332,
-0.013697776012122631,
0.02240598388016224,
0.006881837733089924,
0.03402320295572281,
0.017849473282694817,
-0.009433107450604439,
-0.012379776686429977,
-0.03696046024560928,
0.04323036968708038,
-0.00883530080318451,
-0.01948755793273449,
-0.002228830475360155,
0.037148743867874146
] |
Quantifying forecast uncertainty is a key aspect of state-of-the-art
numerical weather prediction and data assimilation systems. Ensemble-based data
assimilation systems incorporate state-dependent uncertainty quantification
based on multiple model integrations. However, this approach is demanding in
terms of computations and development. In this work a machine learning method
is presented based on convolutional neural networks that estimates the
state-dependent forecast uncertainty represented by the forecast error
covariance matrix using a single dynamical model integration. This is achieved
by the use of a loss function that takes into account the fact that the
forecast errors are heterodastic. The performance of this approach is examined
within a hybrid data assimilation method that combines a Kalman-like analysis
update and the machine learning based estimation of a state-dependent forecast
error covariance matrix. Observing system simulation experiments are conducted
using the Lorenz'96 model as a proof-of-concept. The promising results show
that the machine learning method is able to predict precise values of the
forecast covariance matrix in relatively high-dimensional states. Moreover, the
hybrid data assimilation method shows similar performance to the ensemble
Kalman filter outperforming it when the ensembles are relatively small. | [
-0.013940125703811646,
0.03413427248597145,
-0.02702825330197811,
-0.014338932931423187,
0.05198996141552925,
-0.0037206902634352446,
-0.04850945994257927,
0.05768202617764473,
-0.09759900718927383,
0.04742180556058884,
0.008488249033689499,
-0.05963980779051781,
-0.03349980711936951,
0.005483599379658699,
0.009961117058992386,
0.009888606145977974,
0.0023520563263446093,
0.021318059414625168,
0.046986743807792664,
-0.004051519092172384,
-0.009825159795582294,
-0.002056349767372012,
0.004735835827887058,
0.015843523666262627,
0.010314605198800564,
0.0210642721503973,
0.04216480255126953,
-0.018154792487621307,
-0.10049942135810852,
0.07816621661186218,
0.07051637023687363,
0.005556109827011824,
-0.06377290189266205,
0.012997490353882313,
-0.02610374614596367,
-0.03688966855406761,
0.02110052853822708,
0.024327240884304047,
-0.00958043709397316,
0.049379587173461914,
0.024490389972925186,
0.007096956018358469,
-0.0378141775727272,
-0.008497313596308231,
0.04241858795285225,
-0.038865577429533005,
-0.03154202550649643,
0.018653301522135735,
-0.00031581681105308235,
0.017348114401102066,
-0.040025744587183,
-0.05162740871310234,
-0.0011171133955940604,
-0.062250182032585144,
-0.045319002121686935,
0.08034153282642365,
0.07185781002044678,
0.02963862754404545,
0.0410771444439888,
0.002309003146365285,
0.037886686623096466,
0.0004860463086515665,
-0.03904685378074646,
-0.014067018404603004,
-0.022550735622644424,
-0.05677564814686775,
0.03233963996171951,
-0.07693354040384293,
0.08643240481615067,
-0.006009299773722887,
-0.021372441202402115,
-0.010278349742293358,
-0.005488131195306778,
0.021934397518634796,
0.017638156190514565,
0.03681715950369835,
0.001294990535825491,
0.006267618387937546,
-0.011420388706028461,
0.056159310042858124,
0.06040116772055626,
-0.008053187280893326,
-0.02008538320660591,
-0.019940361380577087,
0.04865448176860809,
0.004713176283985376,
-0.0035099568776786327,
-0.07385184615850449,
-0.0020971368066966534,
-0.0421285443007946,
-0.026538807898759842,
0.06268524378538132,
0.016015736386179924,
-0.03003743477165699,
-0.0057736411690711975,
0.06656455248594284,
0.0028120442293584347,
-0.015399397350847721,
-0.05162740871310234,
-0.03643647953867912,
-0.0006928142393007874,
0.009381033480167389,
0.05249753221869469,
0.0035303502809256315,
0.016260458156466484,
-0.023692775517702103,
-0.03705281764268875,
0.034279294312000275,
0.009226948954164982,
0.14951646327972412,
0.03132449463009834,
0.021626228466629982,
0.04220105707645416,
0.02463540993630886,
-0.021934397518634796,
0.007423252798616886,
-0.06272149831056595,
-0.03364482894539833,
-0.00346010597422719,
-0.06975501030683517,
0.011964216828346252,
0.08077659457921982,
0.033064745366573334,
0.022677630186080933,
-0.007278231903910637,
0.03656337037682533,
0.037034690380096436,
-0.012761831283569336,
0.05942227691411972,
0.013668211176991463,
-0.04963337257504463,
0.017511263489723206,
-0.021680612117052078,
-0.0344243161380291,
-0.041548460721969604,
-0.0035960630048066378,
0.032375894486904144,
0.012906852178275585,
-0.0002518037217669189,
-0.028025271371006966,
-0.03627333045005798,
-0.05340391397476196,
0.002386045642197132,
0.009816096164286137,
0.06435298174619675,
-0.006960998754948378,
0.015508162789046764,
0.05126485601067543,
-0.04267237335443497,
-0.010060818865895271,
-0.03226713091135025,
0.06609323620796204,
-0.025034217163920403,
0.03578388690948486,
0.03727034851908684,
-0.013858551159501076,
-0.01647798903286457,
0.018617046996951103,
0.002680619014427066,
-0.04111339896917343,
0.0205385722219944,
0.008841737173497677,
0.020302914083003998,
0.04662419110536575,
0.012127364985644817,
-0.013994508422911167,
0.006041023414582014,
-0.013994508422911167,
-0.08106663078069687,
0.0427086278796196,
0.014438634738326073,
-0.02430911362171173,
0.0057373857125639915,
0.00850637722760439,
-0.04455764591693878,
0.05021345615386963,
0.005850683432072401,
0.020266657695174217,
-0.023185202851891518,
0.07490324974060059,
-0.047675590962171555,
0.018453897908329964,
0.04818316549062729,
0.046986743807792664,
0.059748575091362,
0.005365769844502211,
0.08034153282642365,
0.03088943287730217,
0.05155489966273308,
-0.0010904885130003095,
0.039916977286338806,
-0.01308812852948904,
0.06921118497848511,
-0.01323314942419529,
-0.009562309831380844,
-0.038865577429533005,
-0.04785686731338501,
0.010314605198800564,
-0.03705281764268875,
0.0006984791252762079,
-0.04930707439780235,
-0.06728965789079666,
0.010396179743111134,
0.004821942187845707,
-0.01416672021150589,
0.02244197018444538,
0.061633843928575516,
0.01211830135434866,
0.013024681247770786,
-0.06486055999994278,
-0.007205721456557512,
-0.02565055526793003,
-0.03511316329240799,
0.011538218706846237,
0.0048627289943397045,
0.0004860463086515665,
0.0018592121778056026,
-0.018191048875451088,
-0.012426470406353474,
-0.0528600849211216,
0.001624686294235289,
0.015317822806537151,
0.028079655021429062,
-0.016332969069480896,
0.015798205509781837,
0.027408933266997337,
0.05434655025601387,
-0.026973871514201164,
-0.0032561703119426966,
-0.0021265943069010973,
-0.032122109085321426,
0.006186043843626976,
0.05470910295844078,
-0.006272150203585625,
0.01693117991089821,
-0.04818316549062729,
0.000604442204348743,
0.000015286312191165052,
-0.003265234176069498,
-0.019722830504179,
-0.006589383352547884,
-0.04680546745657921,
-0.04205603525042534,
-0.05155489966273308,
-0.018743939697742462,
-0.035457588732242584,
-0.021209293976426125,
0.035747628659009933,
0.039518170058727264,
0.0057600452564656734,
-0.038865577429533005,
-0.02617625705897808,
-0.038901831954717636,
0.034152399748563766,
-0.031034452840685844,
-0.03727034851908684,
0.015054972842335701,
-0.00911365170031786,
0.014773995615541935,
-0.028714120388031006,
0.022949542850255966,
0.009816096164286137,
-0.01012426521629095,
0.012961234897375107,
-0.0317414291203022,
0.00836135633289814,
0.03911936283111572,
-0.0013935593888163567,
-0.0006899818545207381,
-0.010233030654489994,
-0.006571255624294281,
-0.01451114472001791,
0.016831478103995323,
-0.03000118024647236,
-0.012100174091756344,
-0.05155489966273308,
0.015961352735757828,
0.016133565455675125,
0.0017141912830993533,
0.0022387588396668434,
-0.002255753381177783,
0.006322001107037067,
0.01932402327656746,
0.007749549578875303,
0.00602742750197649,
-0.017837559804320335,
-0.05503539741039276,
-0.03578388690948486,
-0.0317414291203022,
-0.006815978325903416,
-0.006213235203176737,
-0.03727034851908684,
-0.06841357052326202,
0.006485149264335632,
-0.00016031597624532878,
0.02954799123108387,
-0.058552153408527374,
-0.041548460721969604,
0.04550027847290039,
-0.04419509321451187,
-0.042237311601638794,
0.010668093338608742,
0.011311623267829418,
0.00013843539636582136,
-0.00885080173611641,
-0.025197366252541542,
0.05231625959277153,
0.002515204716473818,
0.024000944569706917,
0.019015854224562645,
0.045971598476171494,
0.04452138766646385,
-0.0194871723651886,
-0.03799545392394066,
-0.0073552741669118404,
0.04274488240480423,
0.027173275128006935,
0.04560904577374458,
-0.01777411252260208,
-0.009068332612514496,
0.019142746925354004,
0.0697912648320198,
-0.040569573640823364,
0.023692775517702103,
-0.0094535443931818,
0.016913052648305893,
-0.06272149831056595,
0.09549620747566223,
0.006136192940175533,
-0.0017051275353878736,
-0.011683239601552486,
0.0017436486668884754,
-0.03832174837589264,
-0.001062164199538529,
0.020230403169989586,
0.020810486748814583,
-0.027735229581594467,
0.03214023634791374,
-0.02804339863359928,
-0.04553653672337532,
-0.013604764826595783,
-0.02633940428495407,
-0.07823872566223145,
-0.027898378670215607,
-0.017502199858427048,
-0.009562309831380844,
-0.0258499588817358,
0.029330458492040634,
-0.019088365137577057,
-0.018444834277033806,
0.00091601035092026,
-0.02581370435655117,
0.02581370435655117,
0.020937379449605942,
0.030091818422079086,
-0.0365271158516407,
-0.0015227185795083642,
0.05224374681711197,
-0.03832174837589264,
0.03589265048503876,
-0.015299695543944836,
-0.01087656058371067,
-0.03612830862402916,
-0.006879424676299095,
-0.01639641635119915,
0.011683239601552486,
-0.01644173450767994,
-0.06264898926019669,
0.023765286430716515,
-0.00911365170031786,
0.00750029506161809,
0.015517226420342922,
0.003480499377474189,
-0.0017912336625158787,
-0.01020583976060152,
-0.01932402327656746,
-0.04843695089221001,
0.02695574425160885,
-0.030381860211491585,
0.041983526200056076,
-0.08128416538238525,
0.019958488643169403,
0.040569573640823364,
-0.005148238968104124,
0.0032380428165197372,
0.0720028355717659,
0.006698148790746927,
0.00258318311534822,
0.043288711458444595,
0.0687398612499237,
0.028514716774225235,
-0.05119234696030617,
-0.022514481097459793,
-0.03643647953867912,
0.03679903224110603,
0.0003016546252183616,
0.005089323967695236,
0.005519854836165905,
0.02476230449974537,
0.025886215269565582,
-0.06551314890384674,
-0.005678471177816391,
-0.015163738280534744,
0.02974739484488964,
0.019414661452174187,
0.023837795481085777,
0.025759322568774223,
-0.013369105756282806,
-0.013314723037183285,
0.04042455181479454,
0.0050711967051029205,
0.03195895999670029,
-0.04437636956572533,
-0.07599090784788132,
0.032575298100709915,
-0.0001305753830820322,
-0.0029208099003881216,
-0.03085317835211754,
-0.04408632591366768,
-0.0033060212153941393,
0.013360042124986649,
-0.0081392927095294,
0.0970914363861084,
0.007799400482326746,
-0.004908048082143068,
0.05405650660395622,
-0.05082979425787926,
-0.005311387125402689,
-0.028224674984812737,
-0.01724841259419918,
0.08889775723218918,
0.014755867421627045,
0.045971598476171494,
-0.03146951645612717,
0.017021818086504936,
-0.00020591822976712137,
-0.0012428737245500088,
-0.02574119344353676,
0.011982345022261143,
-0.00992486160248518,
-0.004821942187845707,
-0.012372087687253952,
-0.021136783063411713,
-0.0022500886116176844,
-0.020629210397601128,
-0.02021227590739727,
-0.013704466633498669,
-0.018200112506747246,
-0.03843051567673683,
-0.03495001420378685,
-0.09063800424337387,
0.018435770645737648,
-0.01984972320497036,
-0.016450798138976097,
0.023203330114483833,
0.026883233338594437,
0.031197601929306984,
-0.00743684871122241,
0.027245784178376198,
0.008365888148546219,
0.02715514786541462,
0.04626163840293884,
0.027499571442604065,
-0.017511263489723206,
0.018191048875451088,
-0.006621106527745724,
-0.02512485533952713,
-0.055506717413663864,
-0.008982226252555847,
0.05634058639407158,
0.009154438972473145,
-0.056231819093227386,
0.003122479422017932,
0.003566605504602194,
0.0158707145601511,
0.03962693735957146,
-0.04898077994585037,
0.0021186633966863155,
-0.003040905110538006,
-0.012625874020159245,
0.028877269476652145,
-0.02922169305384159,
-0.011692303232848644,
-0.00275539536960423,
-0.03609205409884453,
-0.010133328847587109,
-0.014266422018408775,
-0.01020583976060152,
-0.02581370435655117,
-0.00911365170031786,
0.0013788306387141347,
-0.0379229411482811,
0.0779486894607544,
-0.03357231616973877,
0.05779079347848892,
-0.0022466895170509815,
0.00005314361260388978,
0.016532372683286667,
0.08911529183387756,
0.04278114065527916,
0.018852705135941505,
0.015553481876850128,
-0.0038566472940146923,
0.04622538387775421,
-0.045319002121686935,
0.05808083340525627,
0.052823830395936966,
-0.0014592718798667192,
-0.0250886008143425,
0.014257358387112617,
0.053440168499946594,
0.009997372515499592,
0.07838375121355057,
-0.009689202532172203,
0.013523190282285213,
0.021336186677217484,
0.02963862754404545,
0.007822060026228428,
0.038140472024679184,
0.0205385722219944,
0.013867614790797234,
0.02126367576420307,
0.057537008076906204,
0.03607392683625221,
0.003965412732213736,
0.062250182032585144,
0.010622774250805378,
0.004577219486236572,
0.07396061718463898,
-0.027245784178376198,
-0.03424303978681564,
0.0008236729190684855,
-0.057537008076906204,
-0.06279401481151581,
-0.023565882816910744,
-0.005959448870271444,
0.013767912983894348,
0.034188657999038696,
0.0024676197208464146,
-0.037161581218242645,
-0.04517398402094841,
0.022659501060843468,
0.011248176917433739,
-0.014982462860643864,
-0.015218120999634266,
-0.0033060212153941393,
0.02158997394144535,
-0.0025288003962486982,
0.01736624166369438,
-0.008093973621726036,
-0.016287649050354958,
0.003775072982534766,
0.046007853001356125,
-0.0008888189331628382,
-0.046660445630550385,
0.027064509689807892,
-0.01639641635119915,
-0.02670195698738098,
0.012245194986462593,
-0.03904685378074646,
0.0646430253982544,
-0.012172684073448181,
-0.025142982602119446,
-0.005143706686794758,
-0.028550973162055016,
-0.017429688945412636,
0.02719140239059925,
0.034188657999038696,
-0.01737530529499054,
0.011882643215358257,
0.028605354949831963,
-0.016459861770272255,
0.01357757393270731,
0.0017980315024033189,
-0.00003406006362638436,
0.01923338510096073,
0.03707094490528107,
0.00183202070184052,
-0.01511841919273138,
0.026937615126371384,
0.019577808678150177,
0.005896002519875765,
0.006820510141551495,
0.012535236775875092,
0.014755867421627045,
-0.0239828173071146,
-0.03553009778261185,
-0.028514716774225235,
0.01459271926432848,
-0.038249239325523376,
-0.03404363617300987,
0.02617625705897808,
-0.03538507968187332,
-0.011166602373123169,
-0.02322145737707615,
0.0161607563495636,
0.006580319255590439,
-0.0119914086535573,
0.029783649370074272,
-0.06754343956708908,
-0.022260693833231926,
0.04035203903913498,
0.02253260836005211,
0.022151928395032883,
0.031070709228515625,
0.030780667439103127,
0.02122742123901844,
0.03864804655313492,
0.000049957121518673375,
0.002390577457845211,
0.0010077813640236855,
-0.006276682019233704,
0.04981464892625809,
-0.007944420911371708,
0.003963146824389696,
-0.0016824679914861917,
-0.003888370469212532,
0.026393787935376167,
-0.0256143007427454,
0.025795577093958855,
0.02483481355011463,
0.053150128573179245,
0.006254022475332022,
-0.009752649813890457,
-0.0013153840554878116,
0.024852940812706947,
-0.01103970967233181,
0.0004155186179559678,
-0.010078946128487587,
-0.03052688017487526,
-0.028841013088822365,
0.0019351214868947864,
-0.05173617601394653,
0.019287768751382828,
0.04386879503726959,
0.01896147057414055,
-0.014357060194015503,
0.012326768599450588,
0.008275249972939491,
-0.0045273685827851295,
-0.029439223930239677,
0.0013165170093998313,
-0.007749549578875303,
0.001189623842947185,
0.020556699484586716,
-0.0022988065611571074,
-0.048074398189783096,
-0.01652330905199051,
0.05782704800367355,
0.01424829475581646,
-0.011175666004419327,
-0.012444598600268364,
-0.0071739982813596725,
0.04303492605686188,
0.003652711631730199,
-0.011610728688538074,
0.03632771223783493,
0.002986522391438484,
-0.026230638846755028,
0.002997852163389325,
-0.007976144552230835,
0.00842480268329382,
0.04927081987261772,
0.016949307173490524,
0.021372441202402115,
-0.020937379449605942,
0.040605828166007996,
0.019469043239951134,
-0.021444952115416527,
0.025922469794750214,
0.015154674649238586,
-0.021535590291023254,
-0.00959856528788805,
0.058588407933712006,
0.07414188981056213,
-0.034188657999038696,
0.022496353834867477,
0.03157828003168106,
0.021734993904829025,
-0.05489037558436394,
-0.01997661590576172,
0.021734993904829025,
-0.027209529653191566,
-0.0094535443931818,
-0.006308405194431543,
-0.004602144937962294,
-0.019215257838368416,
0.02574119344353676,
-0.03331853076815605,
0.0017742390045896173,
-0.024381624534726143,
-0.016006672754883766,
0.016260458156466484,
0.015027781948447227,
0.009734521619975567,
0.002413237001746893,
-0.01432986930012703,
0.01089468877762556,
0.009100056253373623,
0.015082164667546749,
-0.003992604091763496,
0.011538218706846237,
-0.017438752576708794,
0.02037542313337326,
-0.0023293967824429274,
0.020719848573207855,
0.012009535916149616,
0.0033762657549232244,
-0.0533314049243927,
0.037125326693058014,
-0.016024800017476082,
0.004622538574039936,
-0.03252091631293297,
0.0253242589533329,
0.021499335765838623,
0.007604528684169054,
0.026538807898759842,
-0.009290395304560661,
-0.027463316917419434,
-0.02479855902493,
0.017157774418592453,
0.028442205861210823,
-0.01981346867978573,
-0.035131290555000305,
0.004917111713439226,
0.009906734339892864,
0.048001889139413834,
-0.010541200637817383,
-0.037125326693058014,
0.016894925385713577,
0.022586992010474205,
-0.00475849537178874,
-0.03872055560350418,
0.0221700556576252,
0.03832174837589264,
-0.042599864304065704,
0.019305896013975143,
0.01786475069820881,
-0.028351569548249245,
-0.00010069316340377554,
0.012063918635249138,
-0.033300403505563736,
0.05365769937634468,
-0.028025271371006966,
-0.013341914862394333,
0.026230638846755028,
-0.05833462253212929,
0.00023282637994270772,
-0.013767912983894348,
0.03766915574669838,
-0.004457124043256044,
0.007164934650063515,
0.03190457820892334,
-0.01847202517092228,
-0.004504709038883448,
0.03217649087309837,
0.0030273094307631254,
-0.0319770872592926,
-0.03146951645612717,
-0.022260693833231926,
0.022985799238085747,
0.029149184003472328,
0.0020994029473513365,
0.013921997509896755,
-0.024526644498109818,
-0.013378170318901539,
-0.048364441841840744,
0.01631484180688858,
0.014801186509430408,
-0.0012066185008734465,
0.027137018740177155,
0.045355260372161865,
0.010804050602018833,
-0.030128072947263718,
-0.010450562462210655,
0.03491375967860222,
0.03402550891041756,
0.015580673702061176,
-0.016550499945878983,
-0.009616692550480366,
-0.006680021062493324,
-0.00048774576862342656,
-0.02342086099088192,
0.006770659238100052,
-0.04303492605686188,
0.038140472024679184,
-0.02086486853659153,
-0.029693011194467545,
-0.010169584304094315,
0.015961352735757828,
-0.04307118058204651,
-0.012308641336858273,
0.025142982602119446,
-0.020121637731790543,
-0.011937025934457779,
0.0479656346142292,
-0.02817029319703579,
0.007772209122776985,
-0.05053975433111191,
-0.015798205509781837,
0.0050711967051029205,
0.0029955862555652857,
0.0011278766905888915,
-0.0038498493377119303,
-0.02744518779218197,
-0.006725340150296688,
-0.004366485867649317,
-0.04216480255126953,
0.041947267949581146,
0.0031406069174408913,
-0.007459507789462805,
-0.0016507446998730302,
0.0006656228797510266,
-0.00992486160248518,
0.05876968428492546,
-0.03756038844585419,
-0.046044107526540756,
0.06105376034975052,
-0.043905049562454224,
-0.012372087687253952,
-0.02253260836005211,
-0.014157656580209732,
-0.039228130131959915,
-0.014991526491940022,
-0.05833462253212929,
-0.015934161841869354,
-0.005243408493697643,
-0.009961117058992386,
0.02813403680920601,
-0.036146435886621475,
-0.004119497258216143,
0.02479855902493,
-0.052787575870752335,
-0.0018920684233307838,
-0.013586637564003468,
0.042273566126823425,
-0.01095813512802124,
-0.018435770645737648,
-0.011492899619042873,
0.005125579424202442,
-0.009752649813890457,
0.014257358387112617,
-0.02833344042301178,
-0.004506974946707487,
0.01402169931679964,
0.0005902800476178527,
-0.0132150212302804,
0.013767912983894348,
0.014212039299309254,
-0.011284432373940945,
-0.024653537198901176,
0.056848157197237015,
0.01829981431365013,
-0.01700369082391262,
-0.005506258923560381,
-0.020393552258610725,
0.007690635044127703,
-0.01667739264667034,
0.03795919567346573,
-0.014230167493224144,
0.033662956207990646,
0.023692775517702103,
0.02731829509139061,
-0.009240544401109219,
0.07831123471260071,
-0.007232912816107273,
0.02476230449974537,
-0.04879950359463692,
-0.028841013088822365,
-0.03774166479706764,
0.005130111239850521,
-0.010441498830914497,
0.021698739379644394,
0.03027309477329254,
0.015852587297558784,
0.01075873151421547,
-0.006621106527745724,
0.008003336377441883,
-0.01000643614679575,
-0.04314368963241577,
-0.030218711122870445,
0.021771248430013657,
0.06203265115618706,
0.0007064099772833288,
0.07780366390943527,
-0.007536550518125296,
-0.027535825967788696,
0.008225399069488049,
-0.02467166632413864,
-0.01623326726257801,
-0.018399516120553017,
0.0485457181930542,
-0.0153450146317482,
-0.023438988253474236,
0.05489037558436394,
0.01648705266416073,
-0.030109945684671402,
0.0011986875906586647,
0.012861533090472221,
0.030309349298477173,
0.005012281704694033,
-0.023638391867280006,
0.03320976719260216,
-0.000982855912297964,
0.015381270088255405,
-0.0018172920681536198,
0.04850945994257927,
-0.0021639824844896793,
0.016450798138976097,
-0.006992722395807505,
-0.03672651946544647,
-0.022006908431649208,
0.044992707669734955,
-0.03511316329240799,
0.017846623435616493,
-0.016632074490189552,
-0.019595937803387642,
-0.007604528684169054,
0.06054618954658508,
-0.0119914086535573,
0.0767885223031044,
-0.03471435606479645,
0.008025995455682278,
0.02856910042464733,
-0.026973871514201164,
0.011003454215824604,
0.01826355792582035,
0.026085618883371353,
0.028913524001836777,
-0.005121047608554363,
0.0202485304325819,
0.04321620240807533,
0.06906615942716599,
-0.006571255624294281,
-0.0008044122951105237,
0.03003743477165699,
-0.032539043575525284,
-0.03052688017487526,
0.0012689321301877499,
-0.010088009759783745,
-0.01300655398517847,
0.002945735352113843,
-0.010450562462210655,
0.025668684393167496,
-0.0037841368466615677,
-0.016831478103995323,
0.05739198625087738,
-0.009906734339892864,
0.029964925721287727,
0.01185545139014721,
-0.005923193879425526,
0.003362670075148344,
0.010378051549196243,
-0.00006858039705548435,
0.0000029961879590700846,
0.00864686630666256,
-0.010305541567504406,
-0.015970416367053986,
-0.021372441202402115,
0.004216933157294989,
-0.013949189335107803,
0.007337146904319525,
-0.05815334618091583,
-0.010088009759783745,
-0.012535236775875092,
0.010042691603302956,
-0.054129019379615784,
0.0018773396732285619,
-0.05260629951953888,
0.026575064286589622,
0.016414543613791466,
-0.031106963753700256,
-0.035620737820863724,
-0.020302914083003998,
0.011456644162535667,
0.04622538387775421,
0.002277279971167445,
-0.024037199094891548,
-0.03424303978681564,
0.0002081841666949913,
0.011266304180026054,
0.004529634490609169,
0.0191971305757761,
0.02211567386984825,
0.027735229581594467,
-0.024689793586730957,
-0.026248766109347343,
-0.026067491620779037,
-0.03195895999670029,
0.03235776722431183,
-0.00856529176235199,
-0.025759322568774223,
0.046696700155735016,
-0.016260458156466484,
-0.03861179202795029,
0.04850945994257927,
-0.03393486887216568,
-0.017393434420228004,
-0.005732853896915913,
-0.002277279971167445,
-0.017184965312480927,
-0.03505878150463104,
0.0038929025176912546,
0.039264384657144547,
0.019287768751382828,
-0.007450444158166647,
0.052787575870752335,
0.010341797024011612,
-0.03304661810398102,
0.015644120052456856,
-0.013486935757100582,
-0.03154202550649643,
-0.001031573861837387,
-0.016061054542660713,
-0.0479656346142292,
0.0427086278796196,
-0.049742139875888824,
-0.012417406775057316,
0.03832174837589264,
-0.0029525330755859613,
0.02260511927306652,
-0.020556699484586716,
0.011393197812139988,
0.00007980393274920061
] |
In the current landscape of ever-increasing levels of digitalization, we are
facing major challenges pertaining to scalability. Recommender systems have
become irreplaceable both for helping users navigate the increasing amounts of
data and, conversely, aiding providers in marketing products to interested
users. The growing awareness of discrimination in machine learning methods has
recently motivated both academia and industry to research how fairness can be
ensured in recommender systems. For recommender systems, such issues are well
exemplified by occupation recommendation, where biases in historical data may
lead to recommender systems relating one gender to lower wages or to the
propagation of stereotypes. In particular, consumer-side fairness, which
focuses on mitigating discrimination experienced by users of recommender
systems, has seen a vast number of diverse approaches for addressing different
types of discrimination. The nature of said discrimination depends on the
setting and the applied fairness interpretation, of which there are many
variations. This survey serves as a systematic overview and discussion of the
current research on consumer-side fairness in recommender systems. To that end,
a novel taxonomy based on high-level fairness interpretation is proposed and
used to categorize the research and their proposed fairness evaluation metrics.
Finally, we highlight some suggestions for the future direction of the field. | [
-0.003978143911808729,
-0.019088033586740494,
-0.03367750346660614,
0.002021047053858638,
0.00016511282592546195,
-0.003958297427743673,
-0.036235511302948,
0.010381985455751419,
-0.051724690943956375,
0.023127922788262367,
-0.006430303677916527,
-0.03246024250984192,
0.018523508682847023,
-0.04593830183148384,
-0.0104701928794384,
0.02815573289990425,
0.033430520445108414,
0.006655232049524784,
0.02665621042251587,
-0.02415112592279911,
-0.013389850035309792,
0.009200009517371655,
0.01365447137504816,
0.022016512230038643,
-0.015974320471286774,
0.039269838482141495,
0.0033386419527232647,
-0.013001739047467709,
-0.024362822994589806,
0.025491876527667046,
0.033606935292482376,
0.025315461680293083,
-0.03182515129446983,
-0.06502633541822433,
-0.08990076184272766,
-0.000675887509714812,
0.012604806572198868,
0.02217528596520424,
0.04145737737417221,
0.05627618357539177,
-0.021063875406980515,
0.02820865623652935,
-0.059310510754585266,
0.03284835442900658,
0.03683532029390335,
-0.03694116696715355,
-0.020887460559606552,
0.025738855823874474,
0.0015160609036684036,
0.018029548227787018,
0.026620928198099136,
-0.050207529217004776,
0.01944086328148842,
0.01113174669444561,
-0.05796976014971733,
0.021240290254354477,
0.028049884364008904,
-0.010567220859229565,
0.008851590566337109,
0.020217085257172585,
-0.02485678344964981,
0.045585472136735916,
-0.03154288977384567,
-0.036870602518320084,
-0.01862935721874237,
0.005054271314293146,
-0.03817606717348099,
0.03440080210566521,
-0.009367602877318859,
0.011881507001817226,
-0.09469923377037048,
0.04798470810055733,
0.02674441784620285,
-0.0037399844732135534,
-0.011740376241505146,
0.010152646340429783,
0.04897262901067734,
-0.005601156037300825,
-0.06664934754371643,
-0.01589493453502655,
0.01986425742506981,
0.0209933090955019,
-0.006183323450386524,
0.007074215915054083,
0.019881898537278175,
-0.0028843749314546585,
0.008953029289841652,
-0.08044494688510895,
-0.008772204630076885,
-0.06615538895130157,
-0.050066396594047546,
0.028720257803797722,
-0.0034841836895793676,
-0.03994021192193031,
-0.02660328522324562,
-0.0025977015029639006,
-0.019017469137907028,
-0.015621491707861423,
-0.016679977998137474,
0.0520775206387043,
0.002703550038859248,
-0.0418807715177536,
0.020358217880129814,
0.0031225341372191906,
0.01944086328148842,
-0.040681153535842896,
-0.044315289705991745,
0.047808293253183365,
-0.03627079352736473,
0.11812705546617508,
0.033518727868795395,
0.021205006167292595,
-0.06266238540410995,
0.015921397134661674,
-0.05017224699258804,
0.06262709945440292,
-0.06290936470031738,
-0.06827235966920853,
0.013239897787570953,
0.005517359357327223,
-0.008935387246310711,
0.01355744432657957,
0.03810550272464752,
0.025491876527667046,
-0.028790824115276337,
0.06679047644138336,
-0.03217798098921776,
-0.03598853200674057,
0.0245745200663805,
0.019070392474532127,
-0.010249674320220947,
0.02513904683291912,
-0.018003085628151894,
-0.00012817606329917908,
0.03187807649374008,
0.015286304987967014,
0.05754636600613594,
0.012869427911937237,
-0.022704528644680977,
-0.015930216759443283,
-0.05105431750416756,
-0.00024105368356686085,
-0.05405336245894432,
0.042339447885751724,
-0.024609804153442383,
-0.0318957157433033,
-0.048231687396764755,
0.011458112858235836,
-0.0037201379891484976,
-0.004381691571325064,
-0.06132163479924202,
0.049149040132761,
-0.01678582653403282,
0.022810377180576324,
0.07000122219324112,
-0.031437039375305176,
0.0014080071123316884,
-0.039693232625722885,
0.00422071386128664,
0.021575476974248886,
0.0010662042768672109,
0.002586675575003028,
-0.015727341175079346,
0.0825619250535965,
0.0332011841237545,
0.043327368795871735,
-0.012110846117138863,
-0.017341531813144684,
-0.03508881852030754,
0.04689093679189682,
-0.021540194749832153,
-0.02953176386654377,
-0.06142748147249222,
0.023233771324157715,
0.019458504393696785,
0.04897262901067734,
0.06700217723846436,
0.00304314773529768,
-0.038140784949064255,
0.006981598678976297,
-0.06576727330684662,
0.04840810224413872,
0.01594785787165165,
0.01365447137504816,
0.039552100002765656,
0.022704528644680977,
0.04537377506494522,
-0.023410186171531677,
0.02820865623652935,
0.04181020334362984,
0.004269227385520935,
0.04495038092136383,
0.00025635212659835815,
0.018452942371368408,
0.003091661725193262,
-0.06410898268222809,
-0.016062527894973755,
-0.020640481263399124,
0.0477377288043499,
-0.007378530688583851,
-0.02820865623652935,
-0.029231859371066093,
0.03680003806948662,
-0.022722169756889343,
0.09088867902755737,
0.004090608097612858,
0.06414426118135452,
-0.027538282796740532,
-0.05754636600613594,
-0.03334231302142143,
-0.07437629252672195,
-0.03175458684563637,
0.004520617891103029,
-0.002644010353833437,
-0.025932911783456802,
-0.010232033208012581,
0.0027851418126374483,
0.02854384481906891,
-0.008723690174520016,
0.012304902076721191,
-0.034559573978185654,
-0.012304902076721191,
0.030484402552247047,
-0.0046705701388418674,
0.05123073235154152,
-0.01877048797905445,
0.03364221751689911,
0.030907796695828438,
-0.03268958255648613,
-0.009429347701370716,
-0.027326585724949837,
-0.01697988249361515,
-0.021293213590979576,
-0.03325410932302475,
0.027961676940321922,
0.00479847053065896,
-0.062485966831445694,
-0.01073481421917677,
-0.031684018671512604,
-0.010443730279803276,
-0.019511429592967033,
-0.010946511290967464,
0.030113931745290756,
-0.007431454956531525,
0.0224046241492033,
-0.02547423355281353,
-0.030837230384349823,
0.030131572857499123,
0.02566828951239586,
0.004128096159547567,
-0.09314678609371185,
-0.0034400802105665207,
-0.026356305927038193,
-0.023180847987532616,
-0.023974712938070297,
0.07719892263412476,
0.08051551878452301,
-0.012093205004930496,
-0.00228236080147326,
-0.013372208923101425,
0.043750762939453125,
0.013989659026265144,
-0.027626490220427513,
0.022581038996577263,
-0.03489476069808006,
-0.00959694106131792,
0.048090554773807526,
0.0018777103396132588,
0.0032085361890494823,
-0.01174919679760933,
0.036341357976198196,
-0.014351308345794678,
-0.03127826750278473,
-0.01933501474559307,
0.02505083940923214,
-0.020464066416025162,
0.04364491254091263,
-0.0476318784058094,
0.017958981916308403,
0.030307987704873085,
0.003091661725193262,
-0.02702668122947216,
0.03131354972720146,
-0.012534240260720253,
-0.03736456111073494,
-0.04770244285464287,
0.016238942742347717,
-0.05345355346798897,
-0.06033371388912201,
-0.012304902076721191,
-0.004463283345103264,
-0.0216460432857275,
-0.07402347028255463,
0.004899908788502216,
0.05687599256634712,
0.01011736411601305,
0.014342487789690495,
-0.021028591319918633,
0.005879008676856756,
-0.042903974652290344,
0.0013076714240014553,
-0.015127532184123993,
0.027996959164738655,
0.027467716485261917,
-0.012384288012981415,
-0.011458112858235836,
-0.02829686366021633,
0.09378187358379364,
-0.018417660146951675,
-0.007674024906009436,
0.023233771324157715,
-0.004692621994763613,
0.01256952341645956,
-0.024645086377859116,
-0.0034114127047359943,
0.06382671743631363,
-0.007268271874636412,
-0.02513904683291912,
0.013883810490369797,
-0.057863909751176834,
-0.05013696104288101,
-0.011802121065557003,
-0.09589885175228119,
0.002602111781015992,
-0.06262709945440292,
-0.025315461680293083,
-0.0477377288043499,
0.040928132832050323,
-0.04159850627183914,
-0.004414769355207682,
-0.04265699163079262,
0.06287407875061035,
0.040928132832050323,
-0.035547494888305664,
0.014765881933271885,
0.042903974652290344,
0.0005308969994075596,
0.027820544317364693,
-0.03122534230351448,
-0.051583558320999146,
0.018841054290533066,
0.0016020629554986954,
-0.03810550272464752,
0.01011736411601305,
0.009914487600326538,
-0.010399626567959785,
0.0030850463081151247,
0.00609511649236083,
0.019881898537278175,
0.043609630316495895,
0.00099398463498801,
-0.015039324760437012,
-0.037576258182525635,
0.036729469895362854,
0.08016268908977509,
-0.006417072378098965,
-0.004939602222293615,
-0.05585278943181038,
0.030061008408665657,
-0.007325606420636177,
0.000005099477675685193,
-0.029708178713917732,
-0.03951681777834892,
0.03071374073624611,
-0.034083254635334015,
-0.036164943128824234,
-0.013460416346788406,
0.03307769447565079,
0.01825888641178608,
-0.023374903947114944,
-0.037611544132232666,
-0.0011251928517594934,
-0.0011731554986909032,
-0.026197532191872597,
-0.03944625332951546,
0.01096415240317583,
-0.009288216009736061,
-0.013019380159676075,
-0.036905884742736816,
0.035124100744724274,
-0.01793251931667328,
-0.016335969790816307,
-0.01660059206187725,
0.02910836972296238,
-0.006730208173394203,
0.012975276447832584,
0.01675054430961609,
0.05133657902479172,
-0.04607943072915077,
0.006761080585420132,
0.018982185050845146,
-0.022898584604263306,
0.005301251541823149,
-0.104366734623909,
-0.011722734197974205,
-0.031207701191306114,
-0.015030504204332829,
0.015065786428749561,
-0.0037664466071873903,
-0.02711488865315914,
-0.012128487229347229,
-0.0148364482447505,
-0.024115843698382378,
0.10316711664199829,
0.0035371079575270414,
-0.04113982990384102,
0.016000783070921898,
-0.03344816341996193,
0.041492659598588943,
0.025932911783456802,
0.016159554943442345,
-0.013257539831101894,
0.008295885287225246,
0.05193638801574707,
-0.013786782510578632,
0.016265403479337692,
-0.044280003756284714,
-0.011184670962393284,
0.02843799628317356,
-0.040398888289928436,
-0.06460294127464294,
0.03542400524020195,
0.10351994633674622,
-0.01961727812886238,
-0.02660328522324562,
0.005340944975614548,
0.0014554185327142477,
-0.042339447885751724,
0.009702789597213268,
-0.027467716485261917,
0.022792736068367958,
0.032054491341114044,
-0.00643912423402071,
-0.052571479231119156,
0.05655844509601593,
0.010531937703490257,
0.05401807650923729,
0.010576041415333748,
0.017244504764676094,
-0.012084383517503738,
-0.02288094349205494,
-0.014439515769481659,
-0.009420527145266533,
0.07868080586194992,
0.004097223747521639,
-0.01995246484875679,
0.010029156692326069,
-0.03302476927638054,
-0.02372773177921772,
-0.015445077791810036,
-0.04449170082807541,
0.004516207613050938,
-0.07804571837186813,
-0.010972973890602589,
0.03268958255648613,
-0.014386591501533985,
0.05959277227520943,
-0.010505475103855133,
0.01986425742506981,
-0.01576262339949608,
-0.0202876515686512,
0.08693699538707733,
0.009076518937945366,
0.002366157714277506,
-0.02226349338889122,
0.03718814626336098,
-0.025174329057335854,
0.0005948471953161061,
-0.024609804153442383,
-0.002004508161917329,
-0.01448361948132515,
0.03665890544652939,
-0.045585472136735916,
0.008079777471721172,
-0.01594785787165165,
0.04629112780094147,
0.05401807650923729,
-0.0463264137506485,
0.04230416566133499,
-0.03778795525431633,
0.01330164261162281,
0.05193638801574707,
-0.005834904965013266,
0.00761669036000967,
0.022951507940888405,
0.00158001109957695,
-0.001663808012381196,
-0.0036539824213832617,
-0.06403841078281403,
-0.048090554773807526,
-0.008185626938939095,
0.013028200715780258,
-0.001208438421599567,
-0.012648910284042358,
-0.049784135073423386,
-0.015180456452071667,
0.0223517008125782,
-0.024839142337441444,
0.01384852733463049,
-0.014430695213377476,
-0.0195290707051754,
0.07839854061603546,
-0.009420527145266533,
0.012948814779520035,
0.013760320842266083,
-0.026479795575141907,
-0.02485678344964981,
0.014545364305377007,
-0.024133484810590744,
0.022369341924786568,
0.026709135621786118,
0.032054491341114044,
-0.0018225809326395392,
-0.014818806201219559,
-0.031578171998262405,
0.002866733353585005,
0.020640481263399124,
-0.06255653500556946,
0.005667311605066061,
-0.011890328489243984,
0.014536543749272823,
-0.01919388212263584,
0.007052164059132338,
0.06276822835206985,
-0.054512038826942444,
-0.0028689384926110506,
0.02990223467350006,
0.014307204633951187,
-0.001876607770100236,
-0.008406144566833973,
0.03958738222718239,
0.0390581414103508,
-0.004560311324894428,
-0.029231859371066093,
0.07395289838314056,
-0.023657165467739105,
0.020781612023711205,
-0.018558790907263756,
0.011890328489243984,
-0.045585472136735916,
-0.050736770033836365,
0.061498045921325684,
-0.008900105021893978,
-0.010037977248430252,
-0.01614191383123398,
0.02420405112206936,
0.0209403857588768,
-0.0490431934595108,
0.01287824846804142,
-0.027520641684532166,
-0.000815365114249289,
0.011881507001817226,
-0.012745938263833523,
-0.040257759392261505,
-0.0338539183139801,
-0.014077866449952126,
-0.02990223467350006,
0.034224387258291245,
0.006046602502465248,
-0.021628400310873985,
0.0023352850694209337,
0.011943252757191658,
0.008639893494546413,
0.01617719791829586,
0.016574129462242126,
-0.013663292862474918,
0.026250457391142845,
0.05835787206888199,
-0.014721779152750969,
-0.02480386011302471,
-0.02014652080833912,
-0.014360128901898861,
-0.05765221267938614,
-0.04202190041542053,
-0.06544972956180573,
0.014413053169846535,
0.0010750250658020377,
-0.02071104571223259,
-0.010681889951229095,
-0.011034718714654446,
-0.021628400310873985,
0.016062527894973755,
0.013663292862474918,
0.024133484810590744,
0.015842009335756302,
0.03314825892448425,
-0.01702398620545864,
-0.009914487600326538,
0.05193638801574707,
-0.030449118465185165,
-0.013592726550996304,
0.05574693903326988,
-0.040363606065511703,
-0.012199053540825844,
-0.05123073235154152,
-0.022510472685098648,
0.01735917292535305,
0.04106926545500755,
0.042621709406375885,
-0.05080733820796013,
0.04159850627183914,
0.012684192508459091,
0.02004067227244377,
0.022386983036994934,
0.01080537959933281,
-0.004469898995012045,
0.007576996926218271,
-0.00917354691773653,
0.0034003867767751217,
0.01693577878177166,
-0.06315634399652481,
-0.01594785787165165,
0.0710597038269043,
-0.03307769447565079,
0.03071374073624611,
-0.045585472136735916,
0.04064587131142616,
0.00830470584332943,
-0.0005548783228732646,
0.032566092908382416,
0.001866684528067708,
-0.02363952435553074,
0.06365030258893967,
0.03722343221306801,
0.00018041125440504402,
0.05281846225261688,
0.011422829702496529,
0.006359737832099199,
-0.006452355533838272,
0.007237399462610483,
-0.040257759392261505,
0.022810377180576324,
-0.027767620980739594,
-0.022157644852995872,
-0.014042583294212818,
-0.0030519685242325068,
0.03180750831961632,
0.03463013842701912,
0.0608629547059536,
-0.00815916433930397,
0.03138411417603493,
0.042198315262794495,
-0.003751010401174426,
0.08002155274152756,
-0.00530566181987524,
0.03859946131706238,
0.0020971258636564016,
-0.04579716920852661,
0.019564352929592133,
0.01190796960145235,
-0.019705483689904213,
0.011775658465921879,
-0.008948618546128273,
0.026673851534724236,
0.03517702594399452,
0.011996177025139332,
-0.002441133838146925,
0.013239897787570953,
0.02490970864892006,
-0.0018909415230154991,
0.04043417051434517,
0.01174919679760933,
0.01162570621818304,
0.004961654078215361,
-0.011334623210132122,
0.03284835442900658,
0.009958591312170029,
0.03246024250984192,
0.03217798098921776,
0.05871070176362991,
-0.018435301259160042,
-0.002027662703767419,
-0.03658834099769592,
0.02499791607260704,
-0.010126184672117233,
-0.021628400310873985,
0.02113444171845913,
0.06188615784049034,
0.0013385439524427056,
-0.016521206125617027,
-0.011969714425504208,
-0.0223517008125782,
-0.02580942213535309,
0.011599244549870491,
-0.019405579194426537,
-0.01355744432657957,
0.0005518461694009602,
0.014263100922107697,
0.010479013435542583,
0.017756106331944466,
-0.004758777562528849,
-0.009050057269632816,
0.015242201276123524,
0.004732315428555012,
-0.008948618546128273,
0.015224559232592583,
0.0008881360408850014,
-0.014721779152750969,
-0.003993580117821693,
0.002796167740598321,
0.027256019413471222,
-0.01358390599489212,
-0.011122925207018852,
0.007012471091002226,
-0.02542131021618843,
0.06844877451658249,
-0.004732315428555012,
0.02406291849911213,
-0.030731381848454475,
-0.008503172546625137,
0.009323499165475368,
-0.011070000939071178,
-0.032530806958675385,
0.029161294922232628,
0.019793691113591194,
0.0031401757150888443,
0.04255114495754242,
0.02877318300306797,
-0.013169332407414913,
0.0008363143424503505,
-0.024592163041234016,
-0.004315536469221115,
0.023039715364575386,
-0.04297453910112381,
-0.012243157252669334,
-0.009297036565840244,
-0.005786390975117683,
-0.005473255645483732,
-0.018435301259160042,
0.007127140183001757,
0.013363388366997242,
-0.0035635700915008783,
-0.009305858053267002,
0.002577854786068201,
-0.0006852595251984894,
0.017764925956726074,
-0.02056991495192051,
0.001317594782449305,
-0.00002722018507483881,
-0.007303554564714432,
-0.03350108861923218,
-0.04830225184559822,
-0.0033165900968015194,
-0.030413836240768433,
0.012895889580249786,
-0.0026175482198596,
0.028226299211382866,
0.02268688753247261,
-0.0324426032602787,
0.01561267115175724,
-0.008145933039486408,
-0.0174120981246233,
0.051724690943956375,
-0.01061132363975048,
-0.03223090618848801,
0.014069045893847942,
-0.007413813844323158,
-0.004218508489429951,
0.0016549872234463692,
-0.049219608306884766,
0.0074579170905053616,
0.023339619860053062,
-0.020763970911502838,
-0.027326585724949837,
0.03919927030801773,
0.03138411417603493,
-0.06555557996034622,
0.020340576767921448,
-0.011996177025139332,
-0.040540020912885666,
0.0014488029992207885,
-0.035406362265348434,
0.029073087498545647,
0.013239897787570953,
-0.00624947901815176,
0.005627618171274662,
0.022475190460681915,
-0.027891110628843307,
-0.036341357976198196,
0.06365030258893967,
0.02392178773880005,
0.04449170082807541,
0.020693404600024223,
0.006020140368491411,
-0.03154288977384567,
-0.013389850035309792,
0.03284835442900658,
-0.026850266382098198,
0.024556878954172134,
0.04742018133401871,
-0.03665890544652939,
-0.01217259094119072,
-0.04720848426222801,
0.010126184672117233,
0.03230147063732147,
-0.04029304161667824,
-0.012375467456877232,
0.010514295659959316,
0.030625533312559128,
-0.02660328522324562,
0.02316320687532425,
-0.006381789688020945,
0.026956114917993546,
0.04156322404742241,
-0.035353437066078186,
-0.015744982287287712,
-0.004361845087260008,
0.017191579565405846,
0.010840662755072117,
-0.001994584919884801,
0.050595641136169434,
0.06089823693037033,
-0.020075954496860504,
-0.05306544154882431,
-0.0066111283376812935,
-0.027891110628843307,
-0.042057182639837265,
0.015771444886922836,
-0.03171930089592934,
-0.01082302164286375,
0.0015171635895967484,
-0.048902060836553574,
-0.05105431750416756,
-0.030219780281186104,
-0.03867002949118614,
0.002055227290838957,
0.017800210043787956,
-0.0010706146713346243,
0.02612696774303913,
-0.030731381848454475,
0.017817851155996323,
0.014589468017220497,
-0.029037805274128914,
-0.034877121448516846,
0.00795187707990408,
0.011740376241505146,
0.05528826266527176,
0.010443730279803276,
0.012199053540825844,
0.009279395453631878,
0.01330164261162281,
-0.014924655668437481,
0.0035635700915008783,
-0.013839706778526306,
-0.02891431376338005,
-0.008653124794363976,
-0.010311419144272804,
-0.005843725986778736,
0.01045255083590746,
0.01975840888917446,
0.005953984800726175,
0.057758063077926636,
-0.0030872514471411705,
-0.01613309420645237,
-0.03057260997593403,
0.005989267490804195,
0.01961727812886238,
0.003934040199965239,
-0.008022443391382694,
-0.018893977627158165,
-0.03147232159972191,
-0.029849311336874962,
-0.006840466987341642,
0.03383627533912659,
0.006597897037863731,
-0.015065786428749561,
0.0014510081382468343,
-0.05161884427070618,
-0.024556878954172134,
-0.02575649693608284,
-0.0022779505234211683,
0.030749022960662842,
-0.028737900778651237,
0.01316051185131073,
-0.0024433389771729708,
0.00865753460675478,
-0.006390610244125128,
-0.024980273097753525,
0.0055967457592487335,
-0.0011632322566583753,
0.01420135609805584,
0.06534387916326523,
-0.014121970161795616,
0.010293778032064438,
0.006866929121315479,
-0.07472912222146988,
-0.0435037836432457,
-0.003837012453004718,
0.0013065688544884324,
-0.05758164823055267,
0.01016146782785654,
0.006430303677916527,
0.0028689384926110506,
-0.04145737737417221,
0.04286868870258331,
0.00016111592412926257,
0.020605197176337242,
0.03852889686822891,
-0.035776834934949875,
0.013839706778526306,
-0.0030365323182195425,
0.005186582449823618,
-0.030731381848454475,
-0.026479795575141907,
-0.001095422892831266,
0.06386200338602066,
0.02146962843835354,
0.007793104741722345,
0.029690537601709366,
0.018382376059889793,
0.01190796960145235,
-0.08079777657985687,
-0.04004606232047081,
-0.0354769304394722,
0.0339597649872303,
-0.00025359564460814,
-0.029320066794753075,
-0.0019041725900024176,
0.01731506921350956,
-0.056911274790763855,
0.01424545980989933,
-0.02231641672551632,
-0.04438585415482521,
0.03198392316699028,
-0.016671156510710716,
-0.03184279426932335,
-0.004172199871391058,
0.010673069395124912,
-0.018805772066116333,
-0.029126010835170746,
-0.023198489099740982,
0.009385243989527225,
0.003995785489678383,
-0.018699923530220985,
-0.004313331097364426,
0.036870602518320084,
-0.050066396594047546,
0.03930512070655823,
-0.020411141216754913,
-0.016353610903024673,
-0.005923112388700247,
0.007749001029878855,
0.020499348640441895,
0.02175189182162285,
-0.01981133222579956,
0.015647953376173973,
0.024927349761128426,
-0.024027636274695396,
0.0023176437243819237,
0.04519736021757126,
-0.05094846710562706,
-0.002037585945799947,
0.004315536469221115,
0.013689754530787468,
0.01054075825959444,
0.007846028544008732,
-0.04692622274160385,
0.005790801718831062,
-0.006818415131419897,
0.020481707528233528,
-0.004600004758685827,
0.020199444144964218,
-0.011678630486130714,
-0.021099157631397247,
-0.057475801557302475,
-0.0003001800796482712,
-0.04117511212825775,
-0.02203415334224701,
-0.05137186124920845,
0.03528287261724472,
-0.0035944427363574505,
-0.006893391255289316,
0.013010559603571892,
0.033377598971128464,
-0.003995785489678383,
-0.03838776424527168,
0.025227254256606102,
0.005945164244621992,
-0.0013528777053579688,
0.02829686366021633,
-0.005195403005927801,
0.018946902826428413,
0.006999239791184664,
0.004123685881495476,
0.009738072752952576,
-0.02118736505508423,
0.01986425742506981,
-0.03655305504798889,
-0.009085339494049549,
-0.0038943469990044832,
-0.006148040760308504,
-0.024539237841963768,
0.007519662380218506,
-0.012631268240511417,
-0.051865823566913605,
0.00959694106131792,
0.018241245299577713,
-0.010531937703490257,
-0.01679464802145958,
0.02189302258193493,
-0.03962266445159912,
0.02203415334224701,
0.06294464319944382,
0.009182367473840714,
0.0063200443983078,
-0.003301153890788555,
0.04900791123509407,
-0.040963415056467056,
-0.028931954875588417,
0.031631097197532654,
0.0245745200663805,
0.01678582653403282,
-0.001917403656989336,
-0.0009338935487903655,
-0.0043662553653120995,
-0.029866952449083328,
-0.021540194749832153,
0.010725993663072586,
0.023621883243322372,
-0.06626123189926147,
0.040787000209093094,
0.013019380159676075,
0.04992526397109032,
-0.008128291927278042
] |
Antibodies are crucial proteins produced by the immune system in response to
foreign substances or antigens. The specificity of an antibody is determined by
its complementarity-determining regions (CDRs), which are located in the
variable domains of the antibody chains and form the antigen-binding site.
Previous studies have utilized complex techniques to generate CDRs, but they
suffer from inadequate geometric modeling. Moreover, the common iterative
refinement strategies lead to an inefficient inference. In this paper, we
propose a \textit{simple yet effective} model that can co-design 1D sequences
and 3D structures of CDRs in a one-shot manner. To achieve this, we decouple
the antibody CDR design problem into two stages: (i) geometric modeling of
protein complex structures and (ii) sequence-structure co-learning. We develop
a novel macromolecular structure invariant embedding, typically for protein
complexes, that captures both intra- and inter-component interactions among the
backbone atoms, including C$\alpha$, N, C, and O atoms, to achieve
comprehensive geometric modeling. Then, we introduce a simple cross-gate MLP
for sequence-structure co-learning, allowing sequence and structure
representations to implicitly refine each other. This enables our model to
design desired sequences and structures in a one-shot manner. Extensive
experiments are conducted to evaluate our results at both the sequence and
structure level, which demonstrate that our model achieves superior performance
compared to the state-of-the-art antibody CDR design methods. | [
-0.00194835988804698,
-0.024461619555950165,
-0.017857162281870842,
0.008551696315407753,
0.04009336605668068,
0.007012749556452036,
-0.012185942381620407,
0.02519744262099266,
-0.023582221940159798,
0.02523333579301834,
-0.0059045287780463696,
0.017911002039909363,
0.0500718392431736,
-0.03664756193757057,
0.025789689272642136,
0.0662599429488182,
-0.017139285802841187,
-0.024515459313988686,
-0.009538775309920311,
-0.07042361795902252,
0.02130296640098095,
-0.013325570151209831,
0.005464829970151186,
0.05308691784739494,
0.0529792383313179,
0.0500718392431736,
0.00718324538320303,
0.0030621890909969807,
-0.0808328166604042,
0.03801152482628822,
0.04763106256723404,
0.006649325136095285,
-0.012338491156697273,
0.025628168135881424,
-0.05739417299628258,
-0.012266703881323338,
0.006048103794455528,
0.07078255712985992,
-0.015945816412568092,
0.007569103501737118,
0.03521180897951126,
-0.026920344680547714,
0.012347464449703693,
-0.023618115112185478,
0.012921765446662903,
-0.01193468552082777,
-0.0500718392431736,
0.0017475789645686746,
-0.06277824193239212,
-0.0072954134084284306,
0.039806216955184937,
-0.02769206091761589,
0.030778927728533745,
-0.019741585478186607,
0.013549906201660633,
0.040703561156988144,
0.01005026139318943,
0.029935423284769058,
0.06593689322471619,
-0.019741585478186607,
0.03302228823304176,
0.032106995582580566,
0.013352490961551666,
-0.014922844246029854,
-0.022236203774809837,
-0.013594773598015308,
0.021069655194878578,
0.013379410840570927,
0.014931817539036274,
-0.008322873152792454,
-0.058363307267427444,
-0.03772437572479248,
0.0028019591700285673,
-0.009691324084997177,
-0.0673726499080658,
-0.01310123410075903,
0.06780337542295456,
0.08334538340568542,
0.07167990505695343,
-0.005280874203890562,
0.042246993631124496,
0.03501439467072487,
0.0250359196215868,
0.040057472884655,
0.06586510688066483,
-0.04867198318243027,
0.015497145242989063,
-0.06798284500837326,
-0.02891244925558567,
-0.012544880621135235,
-0.055778954178094864,
0.015515091829001904,
0.01507539302110672,
0.0029477777425199747,
-0.1025126725435257,
-0.022972026839852333,
-0.026884449645876884,
-0.0021569926757365465,
-0.03164037689566612,
0.03153269737958908,
-0.03280692547559738,
0.010355358943343163,
-0.02645372413098812,
0.07221830636262894,
-0.034493934363126755,
-0.0022601871751248837,
0.03589379042387009,
0.05319460108876228,
-0.024174468591809273,
0.12677687406539917,
-0.02270282432436943,
-0.057214703410863876,
0.039483170956373215,
0.024425726383924484,
-0.06787516176700592,
-0.05484571307897568,
-0.059727270156145096,
-0.043467383831739426,
-0.024156522005796432,
-0.07580769062042236,
0.07724343985319138,
0.012643588706851006,
-0.024192415177822113,
-0.017184153199195862,
-0.024838503450155258,
0.024425726383924484,
-0.007685758173465729,
-0.012114155106246471,
0.032214678823947906,
0.03876529633998871,
-0.031012237071990967,
-0.01075019035488367,
-0.012544880621135235,
-0.044759560376405716,
0.03916012868285179,
0.04418525844812393,
0.01833275519311428,
0.025592273101210594,
-0.04055998474359512,
0.01580224186182022,
-0.024874398484826088,
-0.012078261002898216,
-0.03607326000928879,
0.025574326515197754,
0.00935033243149519,
-0.03589379042387009,
-0.02893039584159851,
0.11134254187345505,
-0.014240861870348454,
-0.015057445503771305,
-0.05240493640303612,
0.02643577754497528,
-0.029325228184461594,
-0.011692402884364128,
0.06166553497314453,
-0.02282845228910446,
-0.012284650467336178,
-0.01896986924111843,
0.03151474893093109,
-0.029432909563183784,
0.0659010037779808,
0.0034435607958585024,
-0.020854292437434196,
0.013271729461848736,
-0.0034211270976811647,
0.05865045636892319,
0.011782137677073479,
0.009368279948830605,
-0.04472366347908974,
0.037042394280433655,
0.03880118951201439,
0.015972737222909927,
0.039626747369766235,
0.015425357036292553,
-0.06579332053661346,
0.03908833861351013,
0.013469145633280277,
-0.017202099785208702,
-0.0038114720955491066,
0.0064698560163378716,
-0.06051693484187126,
0.03006105124950409,
0.003600595984607935,
0.022290045395493507,
0.06109123304486275,
0.04285718873143196,
0.0531587079167366,
0.008762571960687637,
0.02388731949031353,
0.008022262714803219,
0.02132091298699379,
0.010965553112328053,
0.03634246438741684,
-0.0015445547178387642,
0.019023708999156952,
0.008959988132119179,
0.026040947064757347,
-0.017354648560285568,
-0.042175207287073135,
0.0013875194126740098,
-0.038155101239681244,
0.0006931988755241036,
0.010947606526315212,
-0.010804031044244766,
-0.006739059463143349,
0.026561405509710312,
0.02119528502225876,
0.007501802407205105,
-0.01753411814570427,
-0.0013101233635097742,
0.015344596467912197,
-0.028643246740102768,
-0.04486723989248276,
-0.04799000173807144,
0.04892323911190033,
-0.03515797108411789,
-0.038155101239681244,
-0.0373295433819294,
-0.03126349300146103,
-0.003288768697530031,
0.00015871785581111908,
0.03481697663664818,
0.07106970995664597,
-0.029666218906641006,
0.0050296178087592125,
0.006882634479552507,
-0.013020473532378674,
0.0027593353297561407,
0.03418883681297302,
0.01707647182047367,
-0.04353917017579079,
-0.0034166404511779547,
-0.0014817406190559268,
0.0012058070860803127,
0.0004279213026165962,
-0.0373295433819294,
-0.022074682638049126,
-0.05890171229839325,
0.005850688088685274,
0.01500360481441021,
0.01868271827697754,
-0.030545616522431374,
-0.015972737222909927,
-0.05290744826197624,
0.05918886512517929,
0.046841397881507874,
-0.03614505007863045,
0.07803310453891754,
0.03844225034117699,
0.0018440436106175184,
0.025556379929184914,
0.039447277784347534,
0.0214824341237545,
0.051830634474754333,
-0.03797563165426254,
0.025717902928590775,
0.0007902242941781878,
-0.0362347848713398,
0.006967882625758648,
-0.05362532660365105,
0.05940422788262367,
0.00590901542454958,
0.018431462347507477,
0.01005026139318943,
0.01609836518764496,
-0.04149322211742401,
0.03609120845794678,
-0.016071446239948273,
-0.004058241844177246,
0.020836345851421356,
0.015685588121414185,
-0.05872224271297455,
-0.0016556011978536844,
-0.01988516002893448,
0.014438278041779995,
-0.030886609107255936,
0.028302256017923355,
0.023151496425271034,
0.05746596306562424,
0.006550617050379515,
0.04935396462678909,
0.016035551205277443,
0.021087603643536568,
0.03390168771147728,
0.015775321051478386,
-0.026830609887838364,
-0.09368279576301575,
-0.008273518644273281,
-0.07060308754444122,
0.01774948090314865,
0.03173011168837547,
0.019149338826537132,
-0.07386942207813263,
-0.01758795790374279,
0.052045997232198715,
0.0024878885596990585,
-0.016959816217422485,
0.04669782519340515,
-0.01992105506360531,
0.011477040126919746,
-0.039698533713817596,
-0.055994316935539246,
-0.03011489100754261,
0.024156522005796432,
-0.03282487392425537,
-0.006321794353425503,
-0.012266703881323338,
0.05491750314831734,
-0.023151496425271034,
0.020585089921951294,
0.053481750190258026,
-0.03250182792544365,
0.028033051639795303,
0.028391988947987556,
0.0426059328019619,
0.006075024139136076,
0.027440804988145828,
-0.026992131024599075,
-0.029684165492653847,
0.027997158467769623,
0.002635950455442071,
-0.013388384133577347,
-0.06141427904367447,
-0.006721112411469221,
-0.013433251529932022,
-0.005473803263157606,
0.04167269170284271,
-0.011844951659440994,
-0.014007552526891232,
-0.0026067865546792746,
-0.031066076830029488,
0.019400594756007195,
-0.012769216671586037,
0.006039130501449108,
-0.057035237550735474,
-0.04167269170284271,
-0.03278898075222969,
0.044292937964200974,
-0.01868271827697754,
-0.0028535565361380577,
-0.005253953859210014,
0.025789689272642136,
-0.014465197920799255,
0.03562458977103233,
-0.024587247520685196,
-0.0033381227403879166,
-0.02250540815293789,
0.021033762022852898,
-0.026040947064757347,
-0.015308702364563942,
0.0009231434669345617,
-0.014213941991329193,
-0.02024409919977188,
0.0034390739165246487,
0.0013179752277210355,
-0.018413515761494637,
0.044651877135038376,
0.0027032513171434402,
-0.011127075180411339,
0.03262745589017868,
-0.019651850685477257,
-0.042103417217731476,
-0.007326820399612188,
0.037150073796510696,
-0.0784638300538063,
-0.00020723056513816118,
-0.014877976849675179,
0.013558880425989628,
-0.0013426521327346563,
0.004805281292647123,
-0.0262204147875309,
0.06403452903032303,
0.015227941796183586,
0.018359674140810966,
-0.040954817086458206,
0.024551354348659515,
-0.015739427879452705,
-0.007847280241549015,
-0.021913159638643265,
0.04034462198615074,
0.0006382364663295448,
0.014752348884940147,
-0.05434320122003555,
-0.02392321266233921,
0.031999316066503525,
0.030402041971683502,
-0.022936133667826653,
0.013164048083126545,
-0.03169421851634979,
0.05513286590576172,
-0.023366859182715416,
-0.05509697273373604,
-0.03754490613937378,
-0.012401305139064789,
0.010436120443046093,
-0.021877266466617584,
0.02401294745504856,
0.062311623245477676,
0.01587403006851673,
0.029827741906046867,
-0.02880476787686348,
0.01859298348426819,
-0.052010104060173035,
-0.02124912478029728,
-0.012159022502601147,
-0.025341017171740532,
0.010525854304432869,
-0.06302949786186218,
0.02114144340157509,
-0.014222915284335613,
-0.00126413453835994,
-0.021572168916463852,
0.06697781383991241,
-0.007492829114198685,
0.03390168771147728,
0.02019025757908821,
-0.005164219532161951,
0.00036482675932347775,
-0.016636772081255913,
-0.028463777154684067,
0.01893397606909275,
-0.01559585239738226,
0.03671934828162193,
-0.001836191862821579,
-0.013612721115350723,
0.0875808522105217,
0.002377963624894619,
0.0005510257906280458,
-0.015192047692835331,
-0.053445857018232346,
0.01886218786239624,
0.006994802970439196,
-0.017049551010131836,
-0.02762027271091938,
-0.013980631716549397,
-0.050682034343481064,
-0.01808149740099907,
0.007169784978032112,
-0.06302949786186218,
0.020585089921951294,
0.009852846153080463,
0.0027144679334014654,
-0.023402752354741096,
-0.027315175160765648,
-0.049784690141677856,
-0.03869350627064705,
-0.025825584307312965,
-0.054558563977479935,
0.0037015473935753107,
-0.03366837650537491,
-0.0378679521381855,
0.010157942771911621,
-0.07290029525756836,
-0.033273544162511826,
0.03354274854063988,
-0.003203521016985178,
-0.035750217735767365,
-0.014958738349378109,
0.03488876670598984,
-0.03600147366523743,
0.00685571413487196,
0.05157937854528427,
0.03427857160568237,
-0.013585800305008888,
0.03406320884823799,
0.06521902233362198,
-0.03147885575890541,
-0.06381916254758835,
0.011091182008385658,
0.0012989066308364272,
0.01868271827697754,
-0.0015905436594039202,
0.01129757147282362,
-0.02528717741370201,
0.02275666408240795,
0.003425613744184375,
-0.005626352038234472,
-0.055814847350120544,
0.00601221015676856,
0.01633167639374733,
0.04027283564209938,
0.013325570151209831,
-0.04170858487486839,
0.020549196749925613,
-0.0188442412763834,
-0.04239057004451752,
0.030617404729127884,
0.03890886902809143,
-0.0005541103892028332,
0.04181626811623573,
0.0600862093269825,
-0.004298281390219927,
-0.0022097115870565176,
-0.009287518449127674,
-0.003921397030353546,
-0.014258809387683868,
-0.004809767939150333,
-0.03374016284942627,
0.0721106305718422,
0.003113786457106471,
-0.015353569760918617,
-0.03612710162997246,
0.0067300861701369286,
0.010454067029058933,
0.032071102410554886,
-0.0029769414104521275,
-0.03627067804336548,
0.020710717886686325,
0.012419251725077629,
0.054881609976291656,
-0.014079339802265167,
0.05664040520787239,
-0.040811240673065186,
-0.019598010927438736,
0.027440804988145828,
-0.016304755583405495,
-0.020800452679395676,
-0.0033874765504151583,
0.004527104552835226,
0.007721652276813984,
0.03271719068288803,
-0.014545959420502186,
-0.0551687590777874,
0.0522613599896431,
-0.02124912478029728,
0.031891632825136185,
0.013855003751814365,
-0.039303701370954514,
0.059727270156145096,
-0.006052590906620026,
0.02004668302834034,
0.0007677906542085111,
0.04662603512406349,
-0.045728690922260284,
-0.021679850295186043,
-0.02246951311826706,
0.019526222720742226,
0.06270645558834076,
-0.027171600610017776,
-0.0364142507314682,
-0.029181653633713722,
0.014833109453320503,
-0.024766717106103897,
0.030599458143115044,
-0.029684165492653847,
0.007609483785927296,
0.05294334515929222,
-0.035678427666425705,
-0.010992473922669888,
0.012706402689218521,
0.029917476698756218,
-0.040057472884655,
-0.03253772109746933,
0.01075019035488367,
-0.0065865106880664825,
-0.043216124176979065,
0.032089050859212875,
-0.014052419923245907,
-0.006743546109646559,
-0.013415304943919182,
-0.016780348494648933,
0.037078287452459335,
-0.002197373192757368,
-0.024425726383924484,
0.008197245188057423,
-0.00910356268286705,
0.017471304163336754,
0.0376884825527668,
0.01760590448975563,
0.015990683808922768,
-0.029253439977765083,
-0.06722906976938248,
0.019346753135323524,
0.006285900250077248,
-0.0018025414319708943,
0.00040296389488503337,
0.046841397881507874,
0.0021502624731510878,
0.006505749654024839,
0.027171600610017776,
0.0335068553686142,
-0.044292937964200974,
-0.003665653523057699,
0.013379410840570927,
0.011719322763383389,
-0.021859319880604744,
-0.010660456493496895,
-0.05380479618906975,
0.004737980663776398,
-0.031084023416042328,
-0.031819846481084824,
0.022325938567519188,
0.0015153910499066114,
0.010534827597439289,
-0.0375090129673481,
0.013424278236925602,
0.019705692306160927,
0.03618094325065613,
0.016556011512875557,
-0.08542722463607788,
-0.024551354348659515,
-0.000160260169650428,
0.02753053791821003,
-0.05039488524198532,
0.019077550619840622,
-0.009386226534843445,
0.003033025423064828,
0.024497512727975845,
0.0038069854490458965,
0.05520465224981308,
-0.011737270280718803,
0.021751638501882553,
0.038406357169151306,
-0.040811240673065186,
0.043359700590372086,
-0.002943290863186121,
0.034404199570417404,
0.021015815436840057,
0.0013819109881296754,
-0.009538775309920311,
0.03370426967740059,
-0.02645372413098812,
0.09834899008274078,
-0.01011307630687952,
0.031819846481084824,
0.03542717173695564,
-0.004737980663776398,
-0.03379400447010994,
-0.020620983093976974,
-0.03273513913154602,
-0.008022262714803219,
-0.03255566954612732,
-0.055850740522146225,
-0.05804026126861572,
-0.013496065512299538,
-0.034583669155836105,
-0.04038051515817642,
0.024335991591215134,
0.0106066158041358,
0.03562458977103233,
-0.02905602566897869,
0.019077550619840622,
-0.027225442230701447,
-0.024156522005796432,
-0.031155811622738838,
0.00038669953937642276,
-0.012553853914141655,
0.017255941405892372,
0.05050256475806236,
0.01202442031353712,
0.003755388082936406,
0.022218257188796997,
-0.028050998225808144,
0.017758453264832497,
0.015272808261215687,
-0.059583693742752075,
0.0015591365518048406,
0.030958395451307297,
0.036019422113895416,
-0.0017632825765758753,
0.01643935777246952,
-0.006115404888987541,
0.018539143726229668,
-0.013496065512299538,
0.048456620424985886,
0.019310859963297844,
0.0035377820022404194,
0.030760979279875755,
0.023079708218574524,
0.0475233793258667,
0.008304926566779613,
-0.01813533902168274,
-0.0797560065984726,
0.004737980663776398,
0.02365400828421116,
-0.035786110907793045,
0.039339594542980194,
0.029630325734615326,
-0.004782847594469786,
-0.019454434514045715,
-0.019687745720148087,
0.018485302105545998,
-0.024605194106698036,
-0.017193125560879707,
0.027028026059269905,
-0.006985829211771488,
0.00020568825129885226,
0.03783205524086952,
-0.011620615608990192,
-0.0034637509379535913,
-0.029486751183867455,
-0.013002526015043259,
-0.01004128810018301,
-0.012105181813240051,
-0.0009388470207341015,
0.021697796881198883,
-0.029630325734615326,
0.021895213052630424,
-0.00885679293423891,
-0.0015961520839482546,
-0.019274966791272163,
0.016923923045396805,
-0.02150038070976734,
0.001330313622020185,
-0.009179837070405483,
-0.006191679276525974,
0.0347810834646225,
-0.020603036507964134,
0.03808331489562988,
-0.028230467811226845,
0.022146468982100487,
0.07365406304597855,
0.0067704664543271065,
-0.010588668286800385,
0.03357864171266556,
0.037042394280433655,
0.01263461448252201,
-0.01013999618589878,
-0.01709441840648651,
0.03872940316796303,
0.010202810168266296,
0.04992826655507088,
-0.02774590067565441,
-0.08406326174736023,
0.014734401367604733,
0.004125542938709259,
0.019687745720148087,
-0.0034323439467698336,
-0.03164037689566612,
-0.007856253534555435,
0.006362174637615681,
-0.019831320270895958,
-0.05750185623764992,
-0.012553853914141655,
0.01831480674445629,
-0.02144654095172882,
0.017211074009537697,
0.033183809369802475,
-0.02013641782104969,
-0.04519028589129448,
0.004567484837025404,
-0.01518307439982891,
0.01651114411652088,
0.025664061307907104,
-0.029486751183867455,
-0.00945801381021738,
0.014079339802265167,
0.0045091575011610985,
0.0038069854490458965,
0.004612352233380079,
0.04167269170284271,
-0.003596109338104725,
0.05882992595434189,
-0.013316596858203411,
-0.09260598570108414,
-0.010328439064323902,
0.01882629469037056,
0.026812663301825523,
-0.047128550708293915,
-0.01371142826974392,
-0.01371142826974392,
0.03002515807747841,
0.021123496815562248,
0.03427857160568237,
0.042031630873680115,
-0.020836345851421356,
-0.013011499308049679,
0.012347464449703693,
0.01864682510495186,
0.002035851124674082,
0.037042394280433655,
-0.0027010077610611916,
0.0039236401207745075,
-0.004195087123662233,
-0.019651850685477257,
-0.00265614059753716,
0.015156153589487076,
0.020369727164506912,
-0.01716620661318302,
0.044544197618961334,
-0.03147885575890541,
-0.05542001500725746,
-0.010875819250941277,
0.008412607945501804,
0.00248564500361681,
-0.01439341064542532,
0.024174468591809273,
0.03682703152298927,
-0.03510412946343422,
-0.018377620726823807,
0.0200287364423275,
-0.01829686015844345,
0.028230467811226845,
-0.014653640799224377,
0.039483170956373215,
-0.01258974801748991,
-0.0275843795388937,
-0.0061602722853422165,
-0.03424267843365669,
-0.03370426967740059,
-0.02139269933104515,
-0.02020820416510105,
-0.0012159021571278572,
0.029253439977765083,
0.0014985657762736082,
-0.02517949603497982,
-0.028643246740102768,
0.014869003556668758,
-0.03235825523734093,
-0.006048103794455528,
-0.029576484113931656,
0.019598010927438736,
0.003869799431413412,
0.016448330134153366,
0.05028720200061798,
0.006532669998705387,
0.005846201442182064,
0.012392331846058369,
-0.008013289421796799,
0.022290045395493507,
-0.02998926304280758,
0.013612721115350723,
-0.044687770307064056,
0.004549538251012564,
-0.03524770215153694,
-0.05427141487598419,
0.05179474130272865,
0.02246951311826706,
0.040883030742406845,
-0.03628862276673317,
0.0065820240415632725,
0.0006674001924693584,
0.014079339802265167,
0.059511907398700714,
-0.0054065026342868805,
0.02891244925558567,
0.024228310212492943,
0.021967001259326935,
0.00021101624588482082,
0.022254150360822678,
-0.0188442412763834,
0.003519834950566292,
-0.042031630873680115,
-0.0629936084151268,
-0.053481750190258026,
0.02263103611767292,
-0.026040947064757347,
0.020369727164506912,
-0.023402752354741096,
-0.0018025414319708943,
0.0162957813590765,
0.023133549839258194,
0.03872940316796303,
-0.0029141271952539682,
-0.029720060527324677,
0.0402369424700737,
-0.006456396076828241,
-0.015936844050884247,
-0.008125456981360912,
-0.020944027230143547,
0.03844225034117699,
0.02015436440706253,
-0.01771358586847782,
-0.023456593975424767,
0.010409199632704258,
0.0018047847552224994,
-0.0018485302571207285,
-0.03268129751086235,
-0.009915660135447979,
-0.028427883982658386,
0.04231877997517586,
-0.009915660135447979,
-0.03000720962882042,
0.046051736921072006,
0.026740875095129013,
-0.017614878714084625,
-0.01004128810018301,
0.023582221940159798,
-0.017085444182157516,
0.01322686206549406,
0.05430730804800987,
-0.00038669953937642276,
-0.013433251529932022,
0.004989237058907747,
0.03718596696853638,
-0.052081894129514694,
0.016026578843593597,
-0.02155422233045101,
-0.03729365020990372,
-0.033417120575904846,
-0.04045230522751808,
-0.009978474117815495,
-0.011746243573725224,
0.008556182496249676,
0.011503960005939007,
-0.01618809998035431,
0.025358963757753372,
0.03391963243484497,
-0.000951185473240912,
-0.0007296535186469555,
-0.008776032365858555,
-0.044580090790987015,
-0.04045230522751808,
-0.009583642706274986,
-0.00402459129691124,
-0.01889808103442192,
0.03009694442152977,
-0.020387673750519753,
0.008282492868602276,
-0.0007672298233956099,
-0.03230441361665726,
-0.004096379037946463,
0.010651483200490475,
0.05035899206995964,
0.01063353568315506,
0.06328075379133224,
0.038155101239681244,
0.014106260612607002,
0.04504670947790146,
0.022325938567519188,
0.02896629087626934,
0.002647167071700096,
-0.0014963224530220032,
0.026956237852573395,
-0.023420698940753937,
0.0362347848713398,
-0.017722560092806816,
-0.009081128984689713,
-0.03776026889681816,
0.025376910343766212,
-0.03779616206884384,
0.012248756363987923,
0.020315885543823242,
-0.017202099785208702,
0.03645014762878418,
-0.0014054663479328156,
-0.012284650467336178,
0.03862171992659569,
0.022182364016771317,
-0.022918187081813812,
-0.007322333753108978,
0.033309437334537506,
0.006371147930622101,
0.053230494260787964,
-0.0402369424700737,
-0.05814794450998306,
0.03122759982943535,
0.04881555587053299,
0.003109299810603261,
-0.0021839130204170942,
-0.010202810168266296,
-0.03865761309862137,
-0.012230809777975082,
0.01835070177912712,
-0.024856451898813248,
0.016852134838700294,
-0.005361635237932205,
0.010839925147593021,
0.009565695188939571,
0.00945801381021738,
0.005092431791126728,
0.00470657367259264,
-0.03146090731024742,
-0.03682703152298927,
-0.007744085509330034,
-0.015909923240542412,
-0.005895555485039949,
-0.012643588706851006,
-0.051040973514318466,
-0.00916637759655714,
0.008699757978320122,
-0.03811920806765556,
-0.022182364016771317,
0.0188442412763834,
0.04034462198615074,
0.015227941796183586,
-0.0011575748212635517,
0.011261677369475365,
-0.02989952825009823,
0.011468066833913326,
-0.012221836484968662,
-0.0006444057216867805,
0.024694928899407387,
0.022325938567519188,
-0.010077182203531265,
-0.03862171992659569,
0.018431462347507477,
-0.004390259273350239,
-0.050933290272951126,
0.011593694798648357,
-0.020782506093382835,
0.032106995582580566,
-0.0016342892777174711,
-0.005096918437629938,
-0.014644667506217957,
0.03487081825733185,
0.004926423076540232,
-0.0037374410312622786,
0.015039498917758465,
-0.012221836484968662,
-0.004895016085356474,
-0.015407410450279713,
-0.03519386425614357,
0.05509697273373604,
-0.03499644622206688,
0.013684508390724659,
0.05556359142065048,
0.023438645526766777,
-0.030617404729127884,
0.02749464474618435,
-0.015559959225356579,
-0.04012925922870636,
-0.02491029165685177,
0.03506823629140854,
-0.0024901318829506636,
0.00659548444673419,
-0.04353917017579079,
-0.00007494231249438599,
0.020369727164506912,
0.024425726383924484,
0.040918923914432526,
-0.024425726383924484,
0.013074314221739769,
-0.029145758599042892
] |
Application security is an essential part of developing modern software, as
lots of attacks depend on vulnerabilities in software. The number of attacks is
increasing globally due to technological advancements. Companies must include
security in every stage of developing, testing, and deploying their software in
order to prevent data breaches. There are several methods to detect software
vulnerability Non-AI-based such as Static Application Security Testing (SAST)
and Dynamic Application Security Testing (DAST). However, these approaches have
substantial false-positive and false-negative rates. On the other side,
researchers have been interested in developing an AI-based vulnerability
detection system employing deep learning models like BERT, BLSTM, etc. In this
paper, we proposed a two-stage solution, two deep learning models were proposed
for vulnerability detection in C/C++ source codes, the first stage is CNN which
detects if the source code contains any vulnerability (binary classification
model) and the second stage is CNN-LTSM that classifies this vulnerability into
a class of 50 different types of vulnerabilities (multiclass classification
model). Experiments were done on SySeVR dataset. Results show an accuracy of
99% for the first and 98% for the second stage. | [
-0.030391529202461243,
0.046816494315862656,
-0.01711082272231579,
-0.03365158289670944,
0.1018989160656929,
0.023034142330288887,
-0.018723035231232643,
0.003244464984163642,
-0.032778672873973846,
0.052410244941711426,
0.037517327815294266,
-0.06327708810567856,
-0.013200541026890278,
-0.02274911105632782,
-0.01487510371953249,
0.05397792160511017,
0.048811718821525574,
-0.0572914183139801,
-0.0020553474314510822,
-0.0559375174343586,
-0.0009675498004071414,
-0.026098236441612244,
0.0006591363344341516,
0.035878393799066544,
-0.008439617231488228,
0.022357191890478134,
0.05130574852228165,
-0.012835344299674034,
-0.035771507769823074,
0.06662621349096298,
0.043253593146800995,
0.00989595241844654,
-0.017903568223118782,
-0.048669200390577316,
-0.010563995689153671,
-0.04343174025416374,
-0.005451235454529524,
0.07980894297361374,
-0.049666814506053925,
0.03986883908510208,
0.018054991960525513,
-0.04628206044435501,
0.017093008384108543,
0.051412634551525116,
0.011383462697267532,
-0.006070289295166731,
-0.004627315327525139,
-0.09733840078115463,
-0.01993441954255104,
-0.006578002590686083,
-0.019399985671043396,
0.02682862989604473,
0.03607435151934624,
-0.026739558205008507,
-0.009842508472502232,
0.02556380070745945,
0.044179949909448624,
0.000515785301104188,
0.043111078441143036,
-0.012790807522833347,
-0.004711933899670839,
0.034738264977931976,
0.01959594525396824,
-0.005647195037454367,
-0.012603755109012127,
0.004173045512288809,
0.05412043631076813,
-0.013253984972834587,
-0.02326573058962822,
0.06224384531378746,
-0.08444070816040039,
-0.018348930403590202,
-0.018776478245854378,
0.0204154122620821,
0.03493422642350197,
0.015739107504487038,
0.0029171237256377935,
0.05786148086190224,
-0.02686425857245922,
0.019987864419817924,
0.020985474810004234,
0.05187581107020378,
-0.04731529951095581,
0.0034471049439162016,
0.05362163111567497,
0.010145355015993118,
-0.02333698980510235,
-0.07286128401756287,
0.0226422231644392,
-0.03520144149661064,
-0.018544889986515045,
0.015186857432126999,
0.00828374084085226,
-0.02982146479189396,
0.012202929705381393,
0.017458206042647362,
-0.0549042746424675,
-0.04574762284755707,
-0.033509064465761185,
0.001860501361079514,
0.0035851672291755676,
-0.01144581288099289,
0.043146707117557526,
-0.041365258395671844,
0.01701284386217594,
-0.021591167896986008,
-0.03427508845925331,
0.03894248604774475,
-0.011748659424483776,
0.12926198542118073,
-0.04008261486887932,
-0.019097138196229935,
-0.0010009519755840302,
0.01703956536948681,
0.02771935425698757,
0.021217064931988716,
-0.007112437393516302,
-0.09178028255701065,
-0.04268353059887886,
-0.019916605204343796,
-0.002469534520059824,
0.010127540677785873,
0.0035183627624064684,
-0.041258372366428375,
-0.050664424896240234,
0.06317020207643509,
0.04271915927529335,
0.009397146292030811,
-0.03527270257472992,
0.025314398109912872,
-0.009682178497314453,
0.028574449941515923,
0.029144514352083206,
0.02241063490509987,
0.0259022768586874,
0.0435742549598217,
0.015008712187409401,
0.018740849569439888,
0.0006379816331900656,
0.02627638168632984,
0.011615050956606865,
0.01574801467359066,
-0.03600309416651726,
0.038586195558309555,
0.052374616265296936,
0.006257341708987951,
-0.012772993184626102,
0.046780865639448166,
-0.04535570368170738,
-0.014723680913448334,
-0.031923577189445496,
0.02474433369934559,
0.044179949909448624,
0.028289418667554855,
0.092635378241539,
-0.03712540864944458,
0.05102071538567543,
0.0597141869366169,
-0.029322659596800804,
-0.0168168842792511,
0.042398497462272644,
-0.08729102462530136,
0.03815864771604538,
-0.00790963601320982,
-0.015480796806514263,
0.027131477370858192,
0.03997572883963585,
-0.0059723095037043095,
-0.09199405461549759,
0.04200658202171326,
0.028111273422837257,
-0.0223037488758564,
-0.017663072794675827,
-0.002879267791286111,
-0.04749344661831856,
0.014162523671984673,
0.007606789469718933,
-0.027541209012269974,
-0.012523590587079525,
0.009129929356276989,
-0.03179887309670448,
0.024067383259534836,
0.004649583250284195,
-0.025439100340008736,
0.018170785158872604,
0.007130251731723547,
0.021608982235193253,
-0.008292648009955883,
0.030836891382932663,
-0.013806234113872051,
-0.013307427987456322,
-0.024584002792835236,
0.03619905561208725,
-0.03879997134208679,
-0.007838377729058266,
-0.05561685562133789,
-0.028592264279723167,
0.00898741278797388,
0.018161877989768982,
-0.004235396161675453,
0.01659420318901539,
-0.002129945671185851,
-0.0018861097050830722,
0.01741367019712925,
0.013547923415899277,
-0.001250354922376573,
0.03256489709019661,
-0.02371109277009964,
0.025439100340008736,
-0.05298031121492386,
-0.04275478795170784,
0.019756276160478592,
-0.06865706294775009,
-0.007651325780898333,
0.013815141282975674,
-0.004961336962878704,
-0.007223777938634157,
0.029180143028497696,
-0.046887751668691635,
0.00866675190627575,
0.01434066891670227,
0.017404761165380478,
0.0621013306081295,
-0.04795662313699722,
0.001589943771250546,
-0.06833640486001968,
0.004680758807808161,
-0.022766925394535065,
-0.005616019479930401,
0.010804491117596626,
-0.018776478245854378,
-0.03008868359029293,
-0.005037048365920782,
-0.006787322927266359,
0.03071219101548195,
-0.0692983865737915,
0.036519717425107956,
-0.03598527982831001,
-0.04364551231265068,
-0.023924866691231728,
0.014073451049625874,
-0.02844974957406521,
-0.06915587186813354,
-0.06616303324699402,
0.06958341598510742,
0.033277478069067,
-0.03983321040868759,
0.06427469849586487,
-0.013850769959390163,
0.026401082053780556,
-0.0030885881278663874,
-0.00835499819368124,
0.012407796457409859,
0.028574449941515923,
-0.018242042511701584,
-0.016736717894673347,
0.0066804359667003155,
-0.020504483953118324,
0.0397975817322731,
-0.05084256827831268,
-0.0029082163237035275,
-0.03566461801528931,
0.017876846715807915,
0.06473787873983383,
-0.026080422103405,
0.03416820243000984,
0.0010761069133877754,
0.008252564817667007,
0.010216613300144672,
-0.014750402420759201,
0.04831290990114212,
-0.0013260665582492948,
-0.04792099446058273,
-0.004996966104954481,
0.024512745440006256,
0.025670688599348068,
0.0624576210975647,
0.07660233229398727,
-0.004720841068774462,
0.008381719700992107,
-0.014964176341891289,
-0.018438002094626427,
0.027808427810668945,
-0.0011913443449884653,
0.009780158288776875,
-0.05376414582133293,
-0.026686113327741623,
0.00037104255170561373,
-0.0463176891207695,
-0.02367546409368515,
-0.027915313839912415,
-0.008083327673375607,
-0.04717278480529785,
-0.033366549760103226,
0.00008280956535600126,
0.05939352884888649,
-0.020094750449061394,
-0.02971457876265049,
-0.04945303872227669,
-0.01027896348387003,
-0.0343107171356678,
-0.06309894472360611,
0.021519910544157028,
0.0391206331551075,
-0.028877297416329384,
0.008733556605875492,
0.026579227298498154,
0.0435742549598217,
0.002036419464275241,
-0.020183824002742767,
0.008662298321723938,
-0.021698055788874626,
-0.03787361830472946,
-0.0038301164750009775,
-0.012906601652503014,
0.04193532094359398,
-0.0051350281573832035,
0.016612017527222633,
0.006435486488044262,
0.03457793593406677,
0.018384559080004692,
0.016505129635334015,
-0.09833601117134094,
0.07881132513284683,
0.004333375953137875,
-0.007936357520520687,
0.018277673050761223,
-0.008470792323350906,
-0.05501116067171097,
-0.00498360488563776,
-0.0009391579078510404,
0.002618730766698718,
-0.053407859057188034,
-0.03609216958284378,
0.007651325780898333,
-0.052445873618125916,
-0.03231549635529518,
0.04332485422492027,
0.0035228165797889233,
-0.030177755281329155,
-0.02271348237991333,
-0.00967327132821083,
-0.06341960281133652,
-0.021840570494532585,
-0.019168397411704063,
-0.04090208187699318,
0.004524881951510906,
-0.0026053700130432844,
-0.031585101038217545,
-0.0480278804898262,
0.0010054055601358414,
-0.012292001396417618,
0.014981990680098534,
-0.024370228871703148,
-0.018331116065382957,
0.013770604506134987,
0.007393015548586845,
-0.017538370564579964,
-0.012977859936654568,
-0.01367262564599514,
0.038408052176237106,
-0.02185838669538498,
-0.014135802164673805,
0.004333375953137875,
0.007784934714436531,
-0.010287870652973652,
0.016059767454862595,
-0.029019813984632492,
0.03174543008208275,
0.0027901954017579556,
-0.006408764515072107,
0.09406053274869919,
0.07040288299322128,
-0.02096766047179699,
-0.02909107133746147,
0.006480022799223661,
-0.009156650863587856,
0.004818820860236883,
0.01491073239594698,
0.03983321040868759,
-0.024690890684723854,
0.021217064931988716,
-0.05572374165058136,
0.020700443536043167,
0.013004581443965435,
0.021199248731136322,
0.08330058306455612,
0.005869876127690077,
0.014928546734154224,
0.045070674270391464,
0.005126120988279581,
0.02381798066198826,
-0.0279687587171793,
-0.017573999240994453,
0.055367451161146164,
-0.008942876942455769,
-0.031656358391046524,
-0.01767197996377945,
0.02723836340010166,
-0.07417955994606018,
-0.03122881054878235,
0.07250499725341797,
0.022054344415664673,
0.004344509914517403,
-0.05914412438869476,
0.009129929356276989,
-0.0012548085069283843,
-0.044001802802085876,
-0.006858580745756626,
-0.010768862441182137,
0.019845347851514816,
-0.00929916650056839,
-0.005607112310826778,
0.0001871913846116513,
0.030516231432557106,
-0.0003343001299072057,
0.02330135926604271,
0.0005210739909671247,
0.044037431478500366,
0.03716103732585907,
-0.009495126083493233,
0.008230296894907951,
0.04492815583944321,
-0.001871635438874364,
0.015053248964250088,
0.00249180244281888,
-0.008884979411959648,
0.01911495439708233,
0.02011256478726864,
-0.02141302265226841,
0.0624576210975647,
-0.017841218039393425,
0.010225520469248295,
-0.024281157180666924,
-0.018740849569439888,
-0.04948866739869118,
0.014509906992316246,
-0.059037238359451294,
-0.03119318187236786,
-0.011695216409862041,
-0.032208606600761414,
0.007963079027831554,
-0.004943522624671459,
0.01711972989141941,
-0.06698250025510788,
-0.033740654587745667,
0.007415283937007189,
-0.015739107504487038,
0.000659693032503128,
-0.06135312095284462,
-0.009726714342832565,
0.044963788241147995,
-0.05964292958378792,
-0.004836635664105415,
0.06512979418039322,
-0.022570965811610222,
-0.02823597565293312,
-0.023907052353024483,
0.010813398286700249,
-0.037588585168123245,
-0.014732588082551956,
0.07296817004680634,
-0.013832955621182919,
0.004921254236251116,
0.04763596132397652,
0.020290710031986237,
-0.020023493096232414,
-0.04521318897604942,
0.01767197996377945,
-0.009771251119673252,
0.0017391401343047619,
-0.022089974954724312,
0.057042013853788376,
-0.02219686098396778,
0.01952468790113926,
-0.010074096731841564,
0.01163286529481411,
-0.020647000521421432,
-0.025296583771705627,
0.0011824371758848429,
0.03242238238453865,
0.04435809329152107,
-0.020700443536043167,
-0.025581615045666695,
0.028218161314725876,
-0.002263554371893406,
0.007125798147171736,
-0.01600632444024086,
-0.005562575999647379,
-0.016015231609344482,
0.004703026730567217,
-0.021359579637646675,
-0.030836891382932663,
-0.02363983541727066,
0.021359579637646675,
-0.038586195558309555,
-0.008519782684743404,
0.015952881425619125,
0.07574723660945892,
0.06252887845039368,
-0.030890334397554398,
-0.04567636549472809,
-0.0038924673572182655,
0.015845993533730507,
-0.005045956000685692,
0.02011256478726864,
-0.031656358391046524,
0.024548374116420746,
0.04293293505907059,
0.05173329636454582,
0.03541521728038788,
-0.032778672873973846,
-0.026240751147270203,
-0.000018388594980933703,
-0.020611371845006943,
0.028093459084630013,
0.022731296718120575,
-0.015302651561796665,
-0.00718814879655838,
0.04022512957453728,
0.025706317275762558,
-0.016068674623966217,
-0.0028436388820409775,
-0.012532497756183147,
-0.00998502504080534,
-0.012185114435851574,
0.06879957765340805,
-0.030355900526046753,
-0.02007693611085415,
-0.014278317801654339,
-0.01238998118788004,
0.027808427810668945,
-0.057113271206617355,
-0.018829921260476112,
0.020807331427931786,
0.029108885675668716,
-0.0005152286030352116,
0.0005352699081413448,
-0.04535570368170738,
0.0039926739409565926,
-0.03441760689020157,
0.027772799134254456,
-0.0111518744379282,
-0.03105066530406475,
-0.0020286256913095713,
0.016166655346751213,
0.060747429728507996,
-0.012585940770804882,
0.008809267543256283,
-0.013699347153306007,
-0.0027901954017579556,
0.031887948513031006,
0.0031932482961565256,
-0.026507969945669174,
-0.044179949909448624,
0.005883237347006798,
-0.01866959035396576,
0.009379331953823566,
-0.01966720260679722,
0.0010009519755840302,
-0.04100896790623665,
0.0070322719402611256,
0.010457108728587627,
-0.017244432121515274,
0.02449493110179901,
-0.012657199054956436,
0.0016367067582905293,
0.03687600418925285,
0.03256489709019661,
0.0028636802453547716,
-0.02319447323679924,
-0.030249012634158134,
0.0052998121827840805,
-0.03056967444717884,
-0.011668494902551174,
0.03723229467868805,
0.00850642193108797,
-0.02975020743906498,
-0.02037978358566761,
-0.002745659090578556,
-0.03459575027227402,
-0.012336538173258305,
-0.0049702441319823265,
0.018135156482458115,
0.01866959035396576,
0.051519520580768585,
-0.007958625443279743,
-0.021056734025478363,
-0.010759955272078514,
-0.028467563912272453,
0.021804941818118095,
-0.007424191106110811,
-0.006493383552879095,
-0.016246819868683815,
-0.029981795698404312,
-0.005540308076888323,
0.04104459658265114,
0.0002674957795534283,
0.03459575027227402,
-0.004090653732419014,
-0.010661975480616093,
0.009904859587550163,
0.06516542285680771,
0.05754081904888153,
0.005286451429128647,
0.015017619356513023,
0.029429545626044273,
0.010537274181842804,
-0.021537724882364273,
0.012015877291560173,
-0.003520589554682374,
0.004384592641144991,
0.030444972217082977,
0.00043478503357619047,
-0.006016845814883709,
-0.018509261310100555,
0.011659586802124977,
-0.006319692358374596,
-0.01934654265642166,
0.028966369107365608,
0.0019796357955783606,
-0.0002340936043765396,
0.013289613649249077,
-0.023586392402648926,
-0.0019373263930901885,
-0.00414187042042613,
0.0076290578581392765,
0.004190859850496054,
-0.0009731168393045664,
-0.05843154340982437,
-0.052410244941711426,
-0.016870327293872833,
0.006092557217925787,
-0.028806038200855255,
-0.018348930403590202,
0.008435163646936417,
0.042291611433029175,
0.03730355203151703,
-0.0028480924665927887,
-0.0380873903632164,
0.006600270513445139,
-0.011623958125710487,
-0.023996125906705856,
0.06694687157869339,
-0.02011256478726864,
-0.004609500523656607,
-0.026543598622083664,
-0.018384559080004692,
0.019720645621418953,
0.03502329811453819,
0.019578130915760994,
0.03780236095190048,
0.024958107620477676,
0.01339650060981512,
-0.026365453377366066,
-0.009628734551370144,
0.02868133783340454,
0.0480278804898262,
0.04175717756152153,
-0.02219686098396778,
0.0022980698850005865,
0.0037989411503076553,
-0.012835344299674034,
0.007637965027242899,
0.0009792405180633068,
-0.0343107171356678,
0.015623312443494797,
0.012942231260240078,
-0.000245227653067559,
0.030213383957743645,
-0.03101503662765026,
-0.08002271503210068,
-0.07902510464191437,
0.04200658202171326,
-0.017627444118261337,
-0.03794487565755844,
0.03201264888048172,
0.04938178136944771,
-0.017850125208497047,
-0.0029661133885383606,
0.018313301727175713,
0.010457108728587627,
0.0047297487035393715,
0.010261149145662785,
-0.038514938205480576,
-0.015338280238211155,
0.008274832740426064,
0.014420834369957447,
-0.020700443536043167,
-0.01730678230524063,
-0.00863557681441307,
-0.0028013293631374836,
0.0692983865737915,
-0.005402245558798313,
0.056258175522089005,
-0.02267785184085369,
-0.014625701121985912,
0.005767442751675844,
0.021181434392929077,
-0.016086488962173462,
-0.004128509201109409,
-0.005932226777076721,
-0.05198269709944725,
-0.012550312094390392,
0.027220549061894417,
0.016202284023165703,
0.018580518662929535,
-0.003781126579269767,
0.025243140757083893,
-0.025991348549723625,
-0.008399534970521927,
0.06609177589416504,
-0.0009681064984761178,
-0.0070857154205441475,
0.04442935064435005,
0.030070867389440536,
0.03566461801528931,
0.059357900172472,
-0.037410441786050797,
0.046959009021520615,
0.03413257375359535,
-0.029554247856140137,
-0.05508241802453995,
-0.06117497757077217,
-0.04086645320057869,
-0.011713030748069286,
-0.006168269086629152,
-0.006551280617713928,
-0.03211953490972519,
-0.006163815502077341,
0.0500943623483181,
-0.03108629398047924,
-0.029055442661046982,
0.006480022799223661,
-0.014367390424013138,
-0.012149485759437084,
0.069334015250206,
0.012719550170004368,
0.0074286446906626225,
0.010136447846889496,
0.03505892679095268,
-0.022179046645760536,
0.004658490419387817,
-0.0026499060913920403,
0.01563221961259842,
-0.03441760689020157,
-0.010216613300144672,
0.009495126083493233,
-0.009593105874955654,
0.0341503880918026,
0.04756470397114754,
-0.005384431220591068,
0.046032655984163284,
-0.07154301553964615,
-0.018420187756419182,
0.004213128238916397,
0.02627638168632984,
0.03644845634698868,
-0.016772346571087837,
0.015409538522362709,
0.0009352610213682055,
0.039512552320957184,
0.006952106952667236,
0.02315884456038475,
0.0741083025932312,
-0.020647000521421432,
0.0064265793189406395,
-0.0024249982088804245,
0.012051505967974663,
0.02723836340010166,
0.019471243023872375,
-0.0006485589547082782,
0.0741083025932312,
-0.05415606498718262,
0.012283094227313995,
0.02374672330915928,
0.05814651399850845,
-0.01163286529481411,
0.035361774265766144,
0.0024249982088804245,
-0.012158392928540707,
-0.02055792696774006,
-0.04524881765246391,
0.04467875510454178,
-0.008729103021323681,
0.026169493794441223,
-0.0020319658797234297,
-0.01238998118788004,
0.018438002094626427,
0.047778476029634476,
-0.005696184933185577,
-0.021466467529535294,
0.015267022885382175,
-0.013084746897220612,
0.03263615444302559,
-0.03983321040868759,
-0.030730005353689194,
0.03537958860397339,
-0.002741205506026745,
-0.028521006926894188,
0.06053365394473076,
-0.0150977848097682,
-0.029981795698404312,
-0.038479309529066086,
0.02168024145066738,
-0.04018950089812279,
-0.022570965811610222,
0.012167300097644329,
0.019221840426325798,
0.011570515111088753,
0.025136252865195274,
-0.07189930230379105,
-0.019649388268589973,
0.05483301728963852,
-0.020094750449061394,
0.02000567875802517,
-0.023069771006703377,
0.013004581443965435,
0.010474923066794872,
-0.06683998554944992,
0.010973729193210602,
-0.01276408601552248,
-0.04111585393548012,
-0.03972632437944412,
-0.022909441962838173,
-0.021466467529535294,
-0.00705899391323328,
0.02727399207651615,
0.05037939175963402,
0.020237267017364502,
0.007312850560992956,
0.022481894120573997,
0.023461690172553062,
0.05408480763435364,
-0.04011824354529381,
0.012960045598447323,
-0.013503387570381165,
0.019239654764533043,
-0.009210093878209591,
0.024815592914819717,
-0.02679300121963024,
0.02271348237991333,
-0.00489898631349206,
-0.009842508472502232,
-0.036519717425107956,
-0.01979190483689308,
-0.04863357171416283,
0.016086488962173462,
0.025100624188780785,
-0.001977409003302455,
0.013307427987456322,
-0.005509132519364357,
0.02137739397585392,
-0.007165880873799324,
-0.03507674112915993,
0.028218161314725876,
-0.03274304419755936,
-0.017173172906041145,
0.016549665480852127,
-0.012158392928540707,
0.0006107031949795783,
-0.044963788241147995,
0.05910849571228027,
0.01434066891670227,
0.025385655462741852,
0.027986573055386543,
-0.018544889986515045,
-0.027184920385479927,
-0.0011228699004277587,
-0.022945070639252663,
-0.013031302951276302,
-0.04560510814189911,
0.012781900353729725,
0.03641282767057419,
0.007259407080709934,
-0.05219647288322449,
0.023835795000195503,
0.002008584327995777,
-0.0066804359667003155,
-0.01849144697189331,
-0.0019005839712917805,
0.009014134295284748,
0.02260659448802471,
-0.007900728844106197,
0.022731296718120575,
-0.012113857083022594,
0.004017168655991554,
-0.015863807871937752,
0.015650033950805664,
-0.05860969051718712,
-0.0439305454492569,
0.026953332126140594,
-0.013922028243541718,
0.03456012159585953,
0.051341377198696136,
0.012550312094390392,
0.004164138343185186,
0.0037699926178902388,
-0.05857406184077263,
-0.047814104706048965,
0.01982753351330757,
-0.05091382935643196,
-0.005602658726274967,
-0.02100329101085663,
-0.009504033252596855,
0.027024589478969574,
0.004961336962878704,
0.010448201559484005,
-0.02045104093849659,
-0.016576388850808144,
0.012514683417975903,
-0.05568811297416687,
-0.055118050426244736,
-0.02274911105632782,
-0.011882268823683262,
-0.005549215245991945,
-0.006016845814883709,
-0.004224262200295925,
-0.0062484340742230415,
-0.00983360130339861,
0.01567675545811653,
0.03078344836831093,
-0.05276653543114662,
0.04332485422492027,
0.0031999286729842424,
0.022072160616517067,
-0.012746271677315235,
0.018580518662929535,
0.033366549760103226,
0.012104949913918972,
-0.03438197448849678,
0.02978583611547947,
0.01966720260679722,
-0.009352610446512699,
0.04542696475982666,
-0.028111273422837257,
0.01118750311434269,
0.018072806298732758,
-0.03537958860397339,
-0.026365453377366066,
-0.03130006790161133,
0.014242689125239849,
0.017422577366232872,
-0.02175149880349636,
0.015578776597976685,
-0.020094750449061394,
0.04720841348171234,
-0.026436710730195045,
-0.0029393916483968496,
0.03872871398925781,
-0.05034376308321953,
-0.005099399480968714,
0.004081746097654104,
-0.017663072794675827,
-0.05575937032699585,
0.02289162576198578,
-0.02381798066198826,
-0.012149485759437084,
-0.055367451161146164,
0.024690890684723854,
0.010804491117596626,
-0.036288127303123474,
0.005295358598232269,
-0.014064543880522251,
-0.01700393669307232,
0.010510552674531937,
-0.02192964404821396,
-0.013218355365097523,
-0.015391724184155464,
0.04385928809642792,
0.0059188660234212875,
-0.05034376308321953,
0.028592264279723167,
0.019471243023872375,
-0.00674278661608696,
-0.03904937580227852,
0.027986573055386543,
-0.02638326771557331,
0.02511843852698803,
-0.012772993184626102,
0.031585101038217545,
-0.010189891792833805,
-0.01109843049198389,
-0.02164461277425289,
0.04079519584774971,
-0.03293900191783905,
0.05372851714491844,
0.04104459658265114,
-0.0816616490483284,
-0.0017369133420288563,
0.012167300097644329,
0.020647000521421432,
-0.005593751557171345,
-0.020361967384815216,
-0.03509455546736717,
0.006480022799223661,
-0.0271136611700058,
-0.02786187082529068,
-0.018865549936890602,
-0.003716549137607217,
0.001092251273803413,
0.03719666600227356,
-0.011926804669201374,
0.03730355203151703,
0.023016327992081642,
0.035842765122652054,
0.021733684465289116,
-0.012087135575711727,
-0.019097138196229935,
-0.010109726339578629,
-0.005963402334600687,
-0.015329373069107533,
0.0035584454890340567,
0.03694726526737213,
0.021127991378307343,
-0.009512940421700478,
-0.025439100340008736,
0.032885558903217316,
0.02027289569377899,
-0.027327435091137886,
-0.004515974782407284,
-0.005736267659813166,
-0.0048945327289402485,
0.0005352699081413448
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.