text
stringlengths 481
13.8k
| embedding
sequencelengths 1.02k
1.02k
|
---|---|
The exercise of detecting similar bug reports in bug tracking systems is
known as duplicate bug report detection. Having prior knowledge of a bug
report's existence reduces efforts put into debugging problems and identifying
the root cause. Rule and Query-based solutions recommend a long list of
potential similar bug reports with no clear ranking. In addition, triage
engineers are less motivated to spend time going through an extensive list.
Consequently, this deters the use of duplicate bug report retrieval solutions.
In this paper, we have proposed a solution using a combination of NLP
techniques. Our approach considers unstructured and structured attributes of a
bug report like summary, description and severity, impacted products,
platforms, categories, etc. It uses a custom data transformer, a deep neural
network, and a non-generalizing machine learning method to retrieve existing
identical bug reports. We have performed numerous experiments with significant
data sources containing thousands of bug reports and showcased that the
proposed solution achieves a high retrieval accuracy of 70% for recall@5. | [
-0.022311421111226082,
-0.008617809973657131,
-0.021463919430971146,
-0.02868611365556717,
0.056008853018283844,
0.08659263700246811,
-0.04827078804373741,
0.024080121889710426,
-0.018175242468714714,
0.01797257736325264,
0.054571785032749176,
-0.06540507823228836,
-0.02277202159166336,
-0.020395329222083092,
-0.06735801696777344,
0.03257356956601143,
-0.0012608901597559452,
-0.022440388798713684,
0.02979155071079731,
-0.01940043456852436,
-0.008834291249513626,
0.018359480425715446,
-0.0029317133594304323,
0.04123283550143242,
0.04373849183320999,
0.0292756799608469,
-0.022090334445238113,
-0.01172685343772173,
-0.05254514887928963,
0.01818445324897766,
0.03542928397655487,
0.024411752820014954,
-0.003700914094224572,
-0.03257356956601143,
-0.020229512825608253,
-0.035576675087213516,
-0.0034268575254827738,
0.05534559115767479,
0.003629521233960986,
0.01169921737164259,
0.011708430014550686,
-0.04554404318332672,
-0.02916513755917549,
0.0005999303539283574,
0.02304838038980961,
-0.032960474491119385,
0.01532873883843422,
-0.05917777493596077,
-0.03942728415131569,
-0.043885886669158936,
0.043112076818943024,
-0.010298996232450008,
0.010298996232450008,
-0.047828614711761475,
-0.04432806000113487,
0.019197771325707436,
0.03283150494098663,
-0.018442388623952866,
0.056708965450525284,
-0.020948048681020737,
0.04252251237630844,
0.05291362851858139,
0.0034890384413301945,
0.010298996232450008,
0.0030698932241648436,
-0.02153761498630047,
0.018138393759727478,
-0.07155868411064148,
0.06581040471792221,
0.016369692981243134,
-0.02811497077345848,
-0.022845717146992683,
-0.009211982600390911,
0.031154925003647804,
0.024430178105831146,
-0.04919198527932167,
-0.032555148005485535,
0.07189030945301056,
0.02647523768246174,
0.005522583611309528,
0.027893882244825363,
0.057187989354133606,
-0.03148655593395233,
-0.002625415101647377,
0.05873560160398483,
-0.0052093761041760445,
-0.008834291249513626,
-0.07811760902404785,
0.008719141595065594,
-0.02957046404480934,
-0.0736590102314949,
-0.01951097883284092,
0.046723175793886185,
-0.0008210179512389004,
-0.024724960327148438,
0.007148498669266701,
-0.0003575400623958558,
-0.018801655620336533,
-0.030749598518013954,
0.0009021985461004078,
-0.004942228551954031,
-0.04558089002966881,
0.019253043457865715,
0.012905987910926342,
0.020690113306045532,
-0.04495447501540184,
-0.06956889480352402,
0.012970471754670143,
-0.019418859854340553,
0.1675843894481659,
0.0008204422192648053,
0.00901392474770546,
-0.042633056640625,
-0.08025479316711426,
0.009534401819109917,
-0.011072803288698196,
0.001031166291795671,
-0.06499975174665451,
-0.020819080993533134,
-0.042596206068992615,
0.04233827069401741,
0.061646588146686554,
-0.027949154376983643,
0.007876245304942131,
-0.03467390313744545,
0.0642259418964386,
0.023490555584430695,
-0.01330210268497467,
-0.0027152318507432938,
0.008438176475465298,
0.006499053910374641,
0.03662684187293053,
-0.007240618113428354,
0.0469442643225193,
-0.02148234285414219,
0.07612782716751099,
0.036497876048088074,
-0.00837829802185297,
-0.01997157745063305,
0.00010226739686913788,
0.007972970604896545,
-0.0483076348900795,
-0.027138501405715942,
-0.03506080433726311,
0.046723175793886185,
-0.013246830552816391,
-0.000022310270651360042,
0.07292205095291138,
-0.037548039108514786,
-0.0342685766518116,
-0.04705480858683586,
-0.034821294248104095,
-0.0028994714375585318,
0.05895669013261795,
0.01802784949541092,
-0.009884457103908062,
0.029201984405517578,
0.021298103034496307,
-0.003102135146036744,
0.0005745973903685808,
0.06746856123209,
-0.006204270292073488,
0.06628942489624023,
0.01745670661330223,
0.012537508271634579,
0.0036617631558328867,
-0.0509975366294384,
-0.04642839357256889,
-0.08961416780948639,
0.030768021941184998,
0.0031758309341967106,
-0.0029317133594304323,
-0.004813260864466429,
-0.0012321026297286153,
-0.05652472376823425,
0.021685006096959114,
0.024190666154026985,
-0.004120059311389923,
0.02107701636850834,
0.011478130705654621,
-0.051144927740097046,
0.028317634016275406,
0.02555404044687748,
-0.015255043283104897,
0.06923726201057434,
0.0011491947807371616,
0.023859035223722458,
0.058625057339668274,
0.012436176650226116,
-0.0036018851678818464,
-0.05048166587948799,
-0.028041275218129158,
-0.00023303437046706676,
0.03657156974077225,
0.012537508271634579,
-0.014591780491173267,
-0.05534559115767479,
0.034360695630311966,
-0.005269254092127085,
-0.026972685009241104,
-0.015780126675963402,
-0.021648159250617027,
-0.02433805726468563,
0.008157210424542427,
0.02085592783987522,
0.03920619934797287,
0.02695426158607006,
-0.020082121714949608,
-0.010833291336894035,
-0.033421073108911514,
-0.03119177371263504,
-0.014987895265221596,
-0.03460020571947098,
0.03843238949775696,
0.01472074817866087,
-0.018396329134702682,
-0.007673581596463919,
-0.01656314544379711,
-0.0070103188045322895,
-0.019879458472132683,
0.0048316847532987595,
-0.019418859854340553,
0.06905302405357361,
0.008475024253129959,
-0.02369321882724762,
0.023914307355880737,
0.03526346758008003,
-0.011690005660057068,
-0.04919198527932167,
-0.03705059364438057,
-0.013486342504620552,
-0.01692241244018078,
-0.005757489241659641,
-0.043112076818943024,
-0.006830684840679169,
-0.033881671726703644,
-0.010787231847643852,
-0.05239775776863098,
-0.029828399419784546,
-0.016480237245559692,
0.017687005922198296,
-0.01196636538952589,
-0.017521191388368607,
-0.01850687339901924,
0.06297311186790466,
-0.011413645930588245,
0.00851187203079462,
-0.016010425984859467,
-0.0020047577563673258,
0.022550933063030243,
0.001479674712754786,
-0.06256778538227081,
0.026733173057436943,
0.058219730854034424,
-0.008673081174492836,
0.030860140919685364,
0.02490920014679432,
-0.04189609736204147,
0.018202876672148705,
-0.08843503147363663,
0.0010208027670159936,
-0.05715113878250122,
-0.020469024777412415,
0.025461919605731964,
-0.00999500136822462,
0.041380226612091064,
0.04900774732232094,
0.015512978658080101,
0.0164618119597435,
0.033955369144678116,
0.030768021941184998,
-0.04200664162635803,
-0.06319420039653778,
-0.053576890379190445,
-0.04801285266876221,
-0.029957367107272148,
0.052471451461315155,
0.024116970598697662,
0.010695111937820911,
0.02957046404480934,
-0.05280308425426483,
-0.012122969143092632,
0.007673581596463919,
0.05512450262904167,
0.006365479901432991,
-0.012436176650226116,
-0.0014658566797152162,
-0.0018366390140727162,
0.016102544963359833,
0.025185560807585716,
-0.01657235622406006,
-0.03143128380179405,
-0.026677900925278664,
-0.024540722370147705,
0.029644159600138664,
-0.00499750068411231,
0.02538822405040264,
0.010179240256547928,
-0.06452072411775589,
0.022790445014834404,
-0.06057799607515335,
-0.03141286224126816,
0.024172242730855942,
0.03631363436579704,
-0.016305208206176758,
0.011947941035032272,
-0.014831291511654854,
0.06662105768918991,
-0.07380640506744385,
0.008281572721898556,
0.05295047536492348,
0.01602884940803051,
-0.06190452352166176,
-0.031965579837560654,
-0.03340264782309532,
0.065847247838974,
0.029588887467980385,
-0.02957046404480934,
0.004518477246165276,
-0.05269253998994827,
0.022219302132725716,
-0.023085229098796844,
-0.06378376483917236,
0.0901300385594368,
0.06997422128915787,
-0.02201663888990879,
-0.010289784520864487,
0.04716534912586212,
0.019897881895303726,
-0.020542720332741737,
-0.027341164648532867,
0.014536508359014988,
-0.0442543625831604,
-0.03242617845535278,
-0.049228835850954056,
-0.06724747270345688,
-0.032960474491119385,
0.03675581142306328,
0.012122969143092632,
-0.030970685184001923,
-0.02085592783987522,
0.024595992639660835,
-0.03594515472650528,
-0.05070275068283081,
0.00123786018230021,
-0.04827078804373741,
0.005683793220669031,
0.008263148367404938,
-0.025461919605731964,
-0.04849187657237053,
0.0010236816015094519,
-0.016305208206176758,
0.0004865078371949494,
0.0020876654889434576,
-0.01567879505455494,
-0.029423072934150696,
-0.01045559998601675,
-0.022440388798713684,
0.034286998212337494,
0.008396722376346588,
-0.01675659604370594,
-0.014020637609064579,
0.0053521618247032166,
0.035410862416028976,
-0.04513871297240257,
0.02072696015238762,
0.016747383400797844,
0.014278572984039783,
-0.010593780316412449,
-0.003383100498467684,
0.011026742868125439,
0.06330474466085434,
0.0010334693361073732,
-0.00567918736487627,
-0.0574827715754509,
0.041269682347774506,
0.04038533195853233,
0.03990630805492401,
-0.016120970249176025,
0.03607412427663803,
0.018423965200781822,
-0.025701431557536125,
-0.03806391358375549,
-0.016655264422297478,
-0.025296103209257126,
0.02102174423635006,
0.01815681718289852,
0.003191951895132661,
0.012592780403792858,
0.018414752557873726,
-0.007268254179507494,
0.00036963081220164895,
-0.03572406992316246,
-0.03413960710167885,
0.024467024952173233,
0.0067892312072217464,
-0.04849187657237053,
0.026917412877082825,
0.012555932626128197,
-0.0025355981197208166,
-0.05556667968630791,
0.018552932888269424,
-0.00420987606048584,
0.024411752820014954,
-0.04827078804373741,
-0.01042796391993761,
-0.006452993955463171,
-0.003597279079258442,
0.01980576291680336,
0.055382438004016876,
-0.004295086953788996,
0.05232406035065651,
0.025590887293219566,
0.024761809036135674,
0.04488077759742737,
0.007972970604896545,
0.00769661134108901,
0.02474338561296463,
-0.01878323219716549,
-0.03281308338046074,
-0.027691219002008438,
0.04558089002966881,
0.022550933063030243,
-0.000028103742806706578,
-0.02979155071079731,
-0.023656371980905533,
0.009580462239682674,
0.0032541328109800816,
0.01826736144721508,
-0.061130717396736145,
0.013136287219822407,
0.012251936830580235,
0.030989108607172966,
-0.012942835688591003,
-0.012344056740403175,
0.0075354017317295074,
0.004285874776542187,
-0.04495447501540184,
-0.05582461506128311,
-0.015070803463459015,
-0.013366586528718472,
0.006457599811255932,
0.0025724461302161217,
-0.017364587634801865,
-0.0795915275812149,
-0.017585674300789833,
0.018571356311440468,
0.010833291336894035,
-0.027967579662799835,
-0.04646524041891098,
0.003348555648699403,
0.04882350564002991,
-0.08106544613838196,
-0.020487450063228607,
0.06522083282470703,
-0.037253256887197495,
-0.02369321882724762,
-0.041822399944067,
0.04628099873661995,
-0.006195058114826679,
-0.022458814084529877,
0.06971628218889236,
-0.01716192439198494,
-0.038653478026390076,
0.03483971953392029,
0.031339164823293686,
0.011551826260983944,
-0.05202927812933922,
0.009764701128005981,
0.046317849308252335,
0.0047533828765153885,
-0.0045438106171786785,
0.014352268539369106,
-0.045507192611694336,
0.002049666130915284,
-0.02148234285414219,
0.002070393180474639,
-0.03014160692691803,
0.0267147496342659,
0.025517191737890244,
0.054166458547115326,
0.050665903836488724,
-0.009331738576292992,
-0.034065909683704376,
0.0011779823107644916,
-0.042780447751283646,
0.051366016268730164,
-0.031025957316160202,
0.00705637875944376,
-0.00702874269336462,
-0.031855035573244095,
-0.039869461208581924,
-0.0491182915866375,
-0.051071230322122574,
0.0014635537518188357,
-0.018718749284744263,
-0.035982005298137665,
0.020487450063228607,
0.047718070447444916,
0.019547827541828156,
0.026567358523607254,
-0.05575091764330864,
0.024522297084331512,
0.04473338648676872,
-0.029404647648334503,
0.06157289072871208,
-0.047718070447444916,
0.041085440665483475,
-0.027728067710995674,
-0.04307522997260094,
0.027672795578837395,
-0.05070275068283081,
-0.005444281734526157,
0.02712007611989975,
-0.0009200467611663043,
0.014776020310819149,
-0.015632733702659607,
-0.01853450946509838,
0.01399300154298544,
0.054792873561382294,
0.008189452812075615,
0.021187560632824898,
-0.024006426334381104,
0.0015971275279298425,
-0.0180831216275692,
0.04023794084787369,
0.020653264597058296,
0.013532401993870735,
0.019418859854340553,
0.011865033768117428,
-0.03553982824087143,
0.034821294248104095,
0.0407538115978241,
-0.07060063630342484,
-0.05250830203294754,
0.0044539934024214745,
0.029607312753796577,
0.025480343028903008,
-0.03502395749092102,
-0.05501395836472511,
-0.003548916196450591,
0.011201770976185799,
-0.006826078984886408,
-0.00426975404843688,
0.01320998277515173,
0.018331844359636307,
0.0561193972826004,
-0.03419487923383713,
0.017318526282906532,
-0.013127075508236885,
0.0068445028737187386,
0.03530031815171242,
-0.0008837745990604162,
0.021648159250617027,
0.011312314309179783,
-0.04760752618312836,
0.011736066080629826,
0.000896441051736474,
0.037953369319438934,
-0.006816867273300886,
0.000747322104871273,
0.044622842222452164,
-0.051144927740097046,
-0.022090334445238113,
-0.011201770976185799,
-0.021150711923837662,
-0.01532873883843422,
0.013145498931407928,
-0.007461705710738897,
-0.015632733702659607,
-0.015319527126848698,
0.01578933745622635,
0.00972785335034132,
-0.020653264597058296,
-0.016775019466876984,
-0.000768049038015306,
0.0002839881635736674,
-0.05081329494714737,
-0.012555932626128197,
0.0225325096398592,
-0.023859035223722458,
-0.045322954654693604,
0.01123861875385046,
0.009184346534311771,
0.040680114179849625,
-0.011892669834196568,
-0.057703860104084015,
-0.004325025714933872,
-0.03727168217301369,
-0.01472074817866087,
-0.015356374904513359,
0.035687219351530075,
-0.04005369916558266,
-0.012869139201939106,
-0.04952361807227135,
0.027046380564570427,
0.042190879583358765,
0.02420908957719803,
0.040790658444166183,
-0.034286998212337494,
0.023951154202222824,
0.00004512432133196853,
0.047312743961811066,
0.07505923509597778,
0.025977790355682373,
-0.0009419252164661884,
0.013403434306383133,
0.008249330334365368,
-0.023103652521967888,
-0.01616702973842621,
-0.037253256887197495,
-0.04543349891901016,
0.06488920748233795,
-0.02973628044128418,
-0.006503659766167402,
0.006950440816581249,
0.02752540446817875,
-0.0017445192206650972,
-0.012850715778768063,
0.012417752295732498,
0.03205769881606102,
-0.028428178280591965,
0.01591830514371395,
0.031449709087610245,
-0.038248151540756226,
0.013928517699241638,
0.0014278573216870427,
-0.049155138432979584,
-0.0010513175511732697,
0.002438872354105115,
-0.06293626129627228,
0.007922304794192314,
0.004272056743502617,
-0.0019736671820282936,
-0.00928107276558876,
-0.015098439529538155,
-0.010584567673504353,
0.046612631529569626,
0.007581461686640978,
0.008613203652203083,
-0.013541614636778831,
-0.003334737615659833,
-0.02067168802022934,
0.057519618421792984,
-0.01193872932344675,
-0.03439754247665405,
0.014987895265221596,
0.015605098567903042,
0.057703860104084015,
-0.0034521904308348894,
-0.028317634016275406,
0.018820080906152725,
-0.03202085196971893,
0.05022373050451279,
0.00981997326016426,
0.008866533637046814,
0.04204348847270012,
-0.0049836826510727406,
0.030712749809026718,
0.05169764533638954,
0.0063424501568078995,
0.03314471244812012,
0.016636840999126434,
0.010050272569060326,
0.022385116666555405,
-0.025480343028903008,
0.0016005819197744131,
0.00625954195857048,
0.02498289756476879,
0.03172606602311134,
-0.010474024340510368,
-0.05143970996141434,
-0.038948263972997665,
0.023656371980905533,
-0.01341264694929123,
-0.016719749197363853,
0.044807083904743195,
0.040680114179849625,
-0.028372906148433685,
-0.010216088965535164,
-0.02126125618815422,
0.024411752820014954,
0.0007392616244032979,
0.011450494639575481,
-0.04583882540464401,
-0.0016938532935455441,
0.020413752645254135,
0.014352268539369106,
-0.013578462414443493,
0.011404434219002724,
-0.029920518398284912,
-0.042485661804676056,
0.04698111116886139,
0.0518081896007061,
0.08939307928085327,
-0.026806868612766266,
-0.008944835513830185,
0.006816867273300886,
-0.006683293264359236,
-0.013421858660876751,
-0.03736380115151405,
0.006812260951846838,
0.0009971971157938242,
-0.014250936917960644,
-0.010999106802046299,
0.012436176650226116,
0.008921804837882519,
-0.008147998712956905,
0.019584674388170242,
-0.021334951743483543,
-0.012915199622511864,
0.009976577013731003,
0.01737379841506481,
-0.02485392801463604,
-0.008594779297709465,
0.008691505528986454,
0.034766022115945816,
-0.002048514550551772,
-0.006250330246984959,
0.030565358698368073,
-0.007438675966113806,
0.0054995534010231495,
-0.03821130469441414,
-0.042890992015600204,
-0.01837790571153164,
0.012509872205555439,
-0.0023720855824649334,
-0.00967258121818304,
0.007153104525059462,
0.0037792157381772995,
-0.014564144425094128,
0.013845609501004219,
-0.0011751034762710333,
0.0043042986653745174,
-0.035281892865896225,
0.033071018755435944,
0.04355425387620926,
0.011883457191288471,
0.015669582411646843,
0.00560549134388566,
0.003866729559376836,
-0.01063062809407711,
0.01039111614227295,
0.027543827891349792,
-0.009391616098582745,
0.030565358698368073,
-0.019068803638219833,
0.012666475959122181,
0.016130181029438972,
0.01945570670068264,
0.030288998037576675,
0.00224657217040658,
0.04952361807227135,
-0.030233725905418396,
-0.023766914382576942,
-0.0005029166932217777,
0.01048323605209589,
-0.00823090597987175,
-0.004334237892180681,
0.01899510808289051,
-0.011082015000283718,
0.0036087941844016314,
0.030123183503746986,
0.018138393759727478,
0.04403327777981758,
-0.04734959080815315,
-0.026641054078936577,
0.020819080993533134,
-0.0018055485561490059,
0.0008302299538627267,
0.009580462239682674,
-0.0006235360633581877,
0.023656371980905533,
-0.034581784158945084,
0.002296086633577943,
-0.04274359717965126,
0.032499875873327255,
-0.07708586752414703,
-0.03872717544436455,
0.03839554265141487,
-0.040680114179849625,
-0.026585781946778297,
-0.01934516243636608,
0.008829684928059578,
0.027193771675229073,
0.021906094625592232,
0.047718070447444916,
-0.011303102597594261,
-0.027396436780691147,
-0.00783939752727747,
-0.057998642325401306,
-0.026180453598499298,
0.037142712622880936,
-0.014877351932227612,
0.027193771675229073,
-0.03384482488036156,
-0.020708536729216576,
-0.014186453074216843,
-0.04690741375088692,
-0.03450808674097061,
0.03152340278029442,
-0.00823090597987175,
-0.0766436979174614,
-0.013163923285901546,
-0.011082015000283718,
-0.06127810850739479,
0.02102174423635006,
0.004401024430990219,
-0.015660369768738747,
0.058403968811035156,
-0.021003320813179016,
0.029552040621638298,
-0.027322739362716675,
-0.0040855142287909985,
0.05914092808961868,
-0.026162030175328255,
-0.011349162086844444,
0.023730067536234856,
-0.016259148716926575,
0.025811975821852684,
-0.039685219526290894,
-0.011828185990452766,
-0.00115207361523062,
-0.025885671377182007,
-0.014250936917960644,
-0.013753489591181278,
-0.014536508359014988,
0.052987322211265564,
0.07085856795310974,
0.00631481409072876,
-0.015310315415263176,
0.042596206068992615,
0.011413645930588245,
-0.07166922092437744,
-0.04012739658355713,
0.00250565935857594,
-0.02857556939125061,
0.010943835601210594,
-0.007742671296000481,
0.06566300988197327,
-0.00987524539232254,
0.01318234670907259,
0.002203966723755002,
0.024540722370147705,
-0.004665869288146496,
0.015135287307202816,
-0.03391851857304573,
0.044512297958135605,
-0.008640839718282223,
0.027506979182362556,
-0.008180240169167519,
0.01172685343772173,
0.010179240256547928,
0.0020024545956403017,
-0.05482972040772438,
0.0007617158116772771,
0.010842503048479557,
0.023822186514735222,
0.014453600160777569,
0.007461705710738897,
0.042301423847675323,
-0.033771127462387085,
0.01613939367234707,
0.00926725473254919,
0.0518081896007061,
-0.0047533828765153885,
-0.011413645930588245,
-0.03636890649795532,
-0.017852822318673134,
0.0055179777555167675,
-0.03084171749651432,
-0.020929625257849693,
-0.02207191102206707,
0.005002106539905071,
0.07406433671712875,
-0.06157289072871208,
0.04447545111179352,
-0.007936122827231884,
-0.001187194255180657,
-0.024651264771819115,
-0.016664477065205574,
-0.0030261361971497536,
-0.0056331274099648,
-0.02881508134305477,
0.060430604964494705,
-0.018635841086506844,
0.005260041914880276,
-0.012076908722519875,
0.0002872986951842904,
-0.0815076231956482,
-0.04211718589067459,
0.04757067933678627,
-0.021279679611325264,
-0.0267147496342659,
0.0012148302048444748,
0.032370906323194504,
0.0021671189460903406,
-0.025296103209257126,
-0.0073004961013793945,
-0.02352740429341793,
-0.006452993955463171,
-0.026622628793120384,
-0.008654657751321793,
-0.03152340278029442,
0.0040072123520076275,
0.010925411246716976,
0.019124075770378113,
-0.03694004938006401,
-0.00923961866647005,
-0.010722748003900051,
-0.009423858486115932,
-0.03902195766568184,
0.009142892435193062,
-0.0577407069504261,
0.03478444740176201,
0.03799021616578102,
-0.016885563731193542,
-0.007047166582196951,
-0.002480326220393181,
-0.018820080906152725,
0.031560253351926804,
0.037953369319438934,
-0.015586674213409424,
-0.0024066304322332144,
-0.006139786448329687,
0.017042167484760284,
0.008401327766478062,
-0.0037746098823845387,
0.02903616987168789,
0.02242196537554264,
-0.020524296909570694,
0.02061641775071621,
0.005407433956861496,
0.010621415451169014,
0.010004213079810143,
-0.007337343879044056,
0.016535509377717972,
0.022458814084529877,
-0.011680793948471546,
-0.010805655270814896,
-0.0011762550566345453,
0.022900989279150963,
-0.026438388973474503,
-0.0034406755585223436,
0.019013531506061554,
0.024264361709356308,
0.03734537586569786,
0.02126125618815422,
-0.006517477799206972,
0.022919412702322006,
-0.021113863214850426,
0.005379797890782356,
0.022311421111226082,
-0.013928517699241638,
0.015255043283104897,
0.016986895352602005,
-0.012942835688591003,
0.0011480433167889714,
0.0008918350795283914,
0.0031182561069726944,
-0.023085229098796844,
0.005237012170255184,
-0.01780676282942295,
-0.004868532996624708,
-0.0308969896286726,
0.027193771675229073,
-0.04001685231924057,
-0.051550254225730896,
-0.012417752295732498,
0.04082750529050827,
0.003956546541303396,
-0.021813973784446716,
0.025535615161061287,
0.012905987910926342,
0.0009799246909096837,
0.0019529402488842607,
0.04897090047597885,
-0.024190666154026985,
-0.00022727687610313296,
0.009340950287878513,
0.0154484948143363,
-0.027801763266324997,
-0.026843717321753502,
0.011533401906490326,
0.024522297084331512,
-0.009534401819109917,
0.006195058114826679,
-0.003551219357177615,
-0.05626678839325905,
-0.017898881807923317,
-0.0050619845278561115,
-0.011017531156539917,
-0.0014359178021550179,
-0.003072196152061224,
-0.015347163192927837,
0.015126075595617294,
0.02490920014679432,
-0.012095333077013493,
0.02503816783428192,
0.018709536641836166,
-0.020800655707716942,
0.02665947750210762,
-0.031560253351926804,
0.030620630830526352,
-0.0017744580982252955,
0.015512978658080101,
0.027341164648532867,
-0.0024411752820014954,
0.0038390937261283398,
0.02288256399333477,
-0.00497907679527998,
-0.007162316236644983,
0.00769661134108901,
-0.0017030652379617095,
0.011855821125209332,
0.0085671441629529,
-0.03854293376207352,
-0.0005697035230696201,
0.04734959080815315,
-0.021058592945337296,
-0.03332895413041115,
0.00345449335873127,
-0.011855821125209332,
-0.04528610780835152
] |
The rapid adoption of residential solar photovoltaics (PV) has resulted in
regular overvoltage events, due to correlated reverse power flows. Currently,
PV inverters prevent damage to electronics by curtailing energy production in
response to overvoltage. However, this disproportionately affects households at
the far end of the feeder, leading to an unfair allocation of the potential
value of energy produced. Globally optimizing for fair curtailment requires
accurate feeder parameters, which are often unknown. This paper investigates
reinforcement learning, which gradually optimizes a fair PV curtailment
strategy by interacting with the system. We evaluate six fairness metrics on
how well they can be learned compared to an optimal solution oracle. We show
that all definitions permit efficient learning, suggesting that reinforcement
learning is a promising approach to achieving both safe and fair PV
coordination. | [
-0.03935189172625542,
-0.012679608538746834,
-0.022773178294301033,
0.029007738456130028,
-0.02459743805229664,
0.027564367279410362,
-0.056211262941360474,
0.02926834672689438,
-0.07669910788536072,
0.03923161327838898,
0.022292055189609528,
-0.04071507602930069,
0.022793225944042206,
-0.049515627324581146,
-0.02491818740963936,
0.047069914638996124,
0.038389645516872406,
0.021951260045170784,
0.00291681126691401,
-0.006645518355071545,
0.006825939752161503,
-0.039251659065485,
-0.01681927591562271,
0.05348489433526993,
-0.012729725800454617,
0.02652193233370781,
-0.016859369352459908,
0.0028240946121513844,
-0.030010078102350235,
0.039792921394109726,
0.07421329617500305,
0.029007738456130028,
-0.015826959162950516,
0.0009071182576008141,
-0.045867107808589935,
0.008650199510157108,
0.01987641490995884,
-0.010168745182454586,
-0.01840297318994999,
0.04079526290297508,
-0.08660223335027695,
0.017530936747789383,
-0.03183433786034584,
-0.013832300901412964,
0.02223191410303116,
-0.03217513486742973,
-0.045426078140735626,
-0.004771141335368156,
-0.028105631470680237,
-0.0006715682102367282,
0.015836982056498528,
-0.06218521296977997,
-0.0058035519905388355,
-0.024577392265200615,
-0.04787178710103035,
0.016729064285755157,
0.03075180947780609,
0.06270642578601837,
0.01892419159412384,
0.013381247408688068,
0.01686939224600792,
0.015275671146810055,
-0.09133327752351761,
-0.018964285030961037,
-0.000376190961105749,
-0.054366953670978546,
-0.005603083875030279,
0.0368259958922863,
-0.00035332507104612887,
0.007071513216942549,
-0.06463092565536499,
0.03319752216339111,
-0.050598155707120895,
-0.007622800301760435,
-0.009958254173398018,
0.04197802394628525,
0.037106648087501526,
-0.00567324785515666,
-0.014584056101739407,
0.027403993532061577,
0.012799889780580997,
0.0363047756254673,
-0.00965254008769989,
-0.010138675570487976,
0.0441029891371727,
-0.013030428439378738,
0.020307421684265137,
-0.06322764605283737,
0.012860029935836792,
-0.014233237132430077,
-0.02838628552854061,
0.038008756935596466,
-0.02211163379251957,
0.036605481058359146,
0.0489543154835701,
0.025399310514330864,
0.0008256781147792935,
-0.016769157722592354,
-0.018563348799943924,
0.04059479385614395,
-0.04241905361413956,
-0.013862370513379574,
-0.016328128054738045,
-0.00650519086048007,
-0.004573178943246603,
-0.04546616971492767,
-0.12060162425041199,
0.03574346750974655,
0.052322179079055786,
0.14666247367858887,
0.001269213855266571,
-0.013270989991724491,
0.010855348780751228,
0.04775150865316391,
-0.07505526393651962,
0.014844664372503757,
0.019916508346796036,
-0.053083959966897964,
0.032896820455789566,
0.038509927690029144,
0.008103923872113228,
0.05067834258079529,
0.053204238414764404,
-0.04281999170780182,
-0.022292055189609528,
0.02269299142062664,
0.00642500352114439,
0.0024607463274151087,
0.04173746332526207,
0.06042109429836273,
-0.03993324935436249,
-0.005938868038356304,
-0.022612804546952248,
-0.022472476586699486,
0.02000671811401844,
0.0019445407669991255,
0.03279658406972885,
0.016007380560040474,
0.006374886259436607,
0.010544623248279095,
0.015686631202697754,
-0.017801569774746895,
-0.0050242324359714985,
0.06759785115718842,
-0.00741230882704258,
0.01738058589398861,
0.0024858047254383564,
0.04406289383769035,
0.00418477226048708,
-0.01229871902614832,
0.0004150316526647657,
0.09381908178329468,
0.02295359969139099,
0.046628884971141815,
0.07236899435520172,
0.012699655257165432,
-0.0021750791929662228,
-0.02020718716084957,
-0.03644510358572006,
-0.047069914638996124,
0.047270383685827255,
0.016518574208021164,
0.019285034388303757,
0.05440704897046089,
0.031293075531721115,
0.052843399345874786,
0.022993693128228188,
-0.03209494799375534,
-0.06270642578601837,
0.04807225614786148,
0.019074542447924614,
-0.04871375486254692,
-0.014503869228065014,
0.02467762678861618,
-0.017039790749549866,
0.010564669966697693,
0.03692622855305672,
-0.0006602918729186058,
0.007001349236816168,
-0.038068898022174835,
-0.06118287146091461,
0.011817595921456814,
0.002458240371197462,
0.011987993493676186,
0.04149690270423889,
0.02594057470560074,
0.010885419324040413,
-0.04967600107192993,
0.005297370254993439,
-0.013210849836468697,
0.045225609093904495,
0.03215508535504341,
0.018813934177160263,
0.0011896530631929636,
0.008990995585918427,
-0.040695030242204666,
-0.012449070811271667,
-0.026802588254213333,
0.021329808980226517,
0.02493823505938053,
0.012148368172347546,
-0.007186782080680132,
-0.014143026433885098,
0.02467762678861618,
0.046829354017972946,
0.01051455270498991,
0.08323436230421066,
0.0319746658205986,
-0.026481838896870613,
-0.018623488023877144,
-0.021630510687828064,
-0.029248299077153206,
-0.0319746658205986,
0.05420657992362976,
-0.04446382820606232,
-0.009933196008205414,
0.03848987817764282,
-0.006645518355071545,
-0.013681949116289616,
-0.03255602344870567,
0.039151426404714584,
0.022973647341132164,
0.005893762689083815,
0.021770838648080826,
-0.0015862040454521775,
0.023214207962155342,
-0.008033759891986847,
0.034420378506183624,
-0.04430345445871353,
0.0051069254986941814,
-0.03869034722447395,
-0.0003104123752564192,
0.006520225666463375,
0.0003987436357419938,
0.05075852945446968,
0.009181439876556396,
-0.013180779293179512,
0.01834283396601677,
0.04446382820606232,
-0.0007254439988173544,
0.028967643156647682,
-0.06154371425509453,
-0.022612804546952248,
0.03139330819249153,
0.04486476629972458,
-0.010233897715806961,
-0.0295890960842371,
0.09237571060657501,
0.0682794451713562,
0.021951260045170784,
-0.07244917750358582,
-0.023815613240003586,
-0.010865372605621815,
-0.013561668805778027,
-0.010815255343914032,
0.004550626501441002,
0.012388929724693298,
-0.004375217016786337,
0.018122319132089615,
0.05152030661702156,
0.018633512780070305,
0.03632482513785362,
0.02812567725777626,
0.052763208746910095,
-0.015756795182824135,
0.06194464862346649,
0.019204845651984215,
0.04670907184481621,
-0.003836458781734109,
0.0008513630600646138,
0.0019545641262084246,
-0.0019908989779651165,
-0.04863356798887253,
-0.016568690538406372,
-0.021430041640996933,
-0.04051460698246956,
-0.043060552328825,
0.011316425167024136,
0.04241905361413956,
-0.016658900305628777,
-0.028586754575371742,
-0.029829656705260277,
0.03732716292142868,
-0.03037092089653015,
-0.010945559479296207,
-0.04562654346227646,
-0.0027213548310101032,
-0.016217870637774467,
-0.060501281172037125,
-0.022272009402513504,
-0.00169395562261343,
-0.021169433370232582,
0.03023059293627739,
-0.0031047500669956207,
0.04755103960633278,
0.011737409047782421,
-0.0118276197463274,
-0.07978631556034088,
-0.004698471631854773,
0.06142343208193779,
0.011536940932273865,
0.011196144856512547,
0.01201806403696537,
0.03792857006192207,
-0.03859011456370354,
-0.04354167729616165,
-0.03670571371912956,
0.030912185087800026,
-0.04370205104351044,
-0.008499848656356335,
0.021830977872014046,
-0.008780503645539284,
0.00445540389046073,
-0.07814247161149979,
-0.04354167729616165,
0.07236899435520172,
0.0055228970013558865,
-0.006109266076236963,
0.003914140164852142,
-0.015205507166683674,
0.01834283396601677,
0.01751089096069336,
-0.07236899435520172,
0.007667905651032925,
-0.0462680421769619,
0.002949387300759554,
0.01473440695554018,
0.026742447167634964,
-0.01758105494081974,
-0.0233946293592453,
-0.02257271111011505,
0.021690651774406433,
0.0023304419592022896,
-0.008449731394648552,
0.03143340349197388,
0.00461577856913209,
-0.029107971116900444,
-0.025018421933054924,
-0.03919151797890663,
-0.014333470724523067,
-0.041777558624744415,
-0.03163386881351471,
0.0169395562261343,
-0.0038214235100895166,
-0.014564009383320808,
-0.04686944931745529,
-0.015255624428391457,
0.020848684012889862,
-0.016187801957130432,
0.02193121239542961,
0.0012046881020069122,
0.00338791124522686,
0.008028748445212841,
0.002227701945230365,
0.07673919945955276,
0.007843315601348877,
-0.02710328996181488,
-0.008194134570658207,
-0.035763513296842575,
-0.04578692093491554,
0.038249317556619644,
-0.02359509840607643,
-0.034300096333026886,
0.0005650695529766381,
-0.06643513590097427,
0.0055228970013558865,
0.0018906650366261601,
-0.002292854245752096,
0.01898433081805706,
0.012870053760707378,
-0.028847362846136093,
0.007582706864923239,
0.03510196879506111,
-0.019064519554376602,
-0.01879388652741909,
-0.0201871395111084,
0.013421340845525265,
0.023935893550515175,
-0.07016384601593018,
0.02333449013531208,
-0.06443045288324356,
0.030190499499440193,
-0.0008613864774815738,
-0.0003880937583744526,
-0.03654533997178078,
0.023033786565065384,
0.031994711607694626,
-0.034741126000881195,
0.020848684012889862,
0.000790596182923764,
0.024016080424189568,
-0.06968271732330322,
-0.005124466493725777,
0.0017353021539747715,
-0.012378906831145287,
0.004019385669380426,
0.00901605375111103,
0.020337490364909172,
0.029228253290057182,
0.010634833946824074,
-0.009782844223082066,
0.009672586806118488,
-0.02806553803384304,
0.06346821039915085,
-0.05617116764187813,
0.00017807207768782973,
-0.059017814695835114,
-0.06302718073129654,
-0.01597731001675129,
0.014183119870722294,
0.01777149923145771,
-0.034741126000881195,
0.04041437432169914,
-0.06491158157587051,
-0.010464436374604702,
0.010975630022585392,
-0.05464760959148407,
-0.0064751203171908855,
-0.01943538524210453,
-0.050397686660289764,
-0.058777254074811935,
0.08167071640491486,
0.041336528956890106,
0.006189453415572643,
0.04161718115210533,
-0.0073120747692883015,
0.03357841074466705,
-0.04715010151267052,
-0.05312405154109001,
0.043301116675138474,
0.0024657580070197582,
0.04674916714429855,
0.02102910540997982,
-0.03367864340543747,
-0.008840644732117653,
0.004300041124224663,
-0.0015160401817411184,
0.04582701250910759,
0.008925843052566051,
-0.0006602918729186058,
-0.008108935318887234,
-0.0341397225856781,
-0.041136059910058975,
-0.006540272384881973,
-0.026802588254213333,
-0.033718738704919815,
0.003773812437430024,
-0.08972953259944916,
0.024757813662290573,
-0.008800550363957882,
-0.04213840141892433,
-0.025218890979886055,
-0.04550626501441002,
-0.009943218901753426,
0.03871039301156998,
0.0006909885560162365,
0.06852000206708908,
-0.05569004639983177,
0.016278011724352837,
0.012439046986401081,
0.00933680310845375,
0.04939534515142441,
0.021049153059720993,
-0.07533591985702515,
0.013732066377997398,
0.03169400990009308,
-0.010875395499169827,
-0.04045446589589119,
0.0012353848433122039,
0.036986369639635086,
0.0067307171411812305,
-0.014874734915792942,
-0.014213190414011478,
0.04117615148425102,
-0.005562990438193083,
0.00811895914375782,
0.00736720347777009,
-0.09798882156610489,
0.0015586396912112832,
-0.0629870817065239,
0.034560706466436386,
0.010028418153524399,
-0.003886575810611248,
-0.02652193233370781,
0.0720081478357315,
0.03744744509458542,
-0.04582701250910759,
-0.04149690270423889,
-0.003540768288075924,
0.016257964074611664,
0.008264298550784588,
0.017240257933735847,
-0.03101241961121559,
0.02537926472723484,
-0.00846977811306715,
0.007753104902803898,
-0.024497205391526222,
0.0006292819743975997,
0.020277351140975952,
-0.03728707134723663,
-0.003082197392359376,
-0.0382092259824276,
-0.027444086968898773,
-0.015446068719029427,
-0.022131681442260742,
-0.025038469582796097,
-0.011366542428731918,
-0.0056181191466748714,
-0.027203524485230446,
-0.012669585645198822,
0.020568029955029488,
0.0451454222202301,
-0.004796199966222048,
-0.022472476586699486,
-0.004510532598942518,
0.03955236077308655,
0.025038469582796097,
-0.01649852655827999,
0.020497865974903107,
0.0325760692358017,
-0.004573178943246603,
-0.031232934445142746,
0.04033418744802475,
0.004051961936056614,
-0.03905119001865387,
0.05601079389452934,
0.049635905772447586,
-0.031734105199575424,
0.008429684676229954,
0.0005484682624228299,
0.024256642907857895,
0.07585714012384415,
-0.04334120824933052,
-0.018693652004003525,
-0.022532617673277855,
-0.02952895499765873,
-0.014493845403194427,
0.03772810101509094,
0.011025747284293175,
-0.03937194123864174,
-0.035001736134290695,
0.045345891267061234,
-0.005407627671957016,
-0.004487980157136917,
-0.027945255860686302,
0.0050217267125844955,
0.035382624715566635,
0.0021287209820002317,
0.012829960323870182,
-0.014754453673958778,
0.015315764583647251,
0.02371537871658802,
0.021770838648080826,
0.026181137189269066,
-0.03323761373758316,
-0.024898141622543335,
0.008379567414522171,
0.01994657889008522,
-0.012749772518873215,
-0.04550626501441002,
-0.008199146017432213,
0.02596062235534191,
0.017029767856001854,
-0.032114993780851364,
-0.017981991171836853,
-0.03169400990009308,
0.004713506903499365,
0.07521563768386841,
0.005392592400312424,
0.004991656169295311,
-0.01667894795536995,
-0.041336528956890106,
-0.04181765019893646,
-0.003297700546681881,
0.011356519535183907,
0.00532242888584733,
-0.0005494079669006169,
-0.020026765763759613,
-0.030591435730457306,
-0.03432014212012291,
-0.030130358412861824,
0.004300041124224663,
0.014433705247938633,
0.023875754326581955,
0.021369902417063713,
0.007863362319767475,
0.010785184800624847,
0.011546963825821877,
-0.00818411074578762,
-0.021650558337569237,
-0.031293075531721115,
0.012609445489943027,
-0.0011595827527344227,
-0.002259025117382407,
-0.03383902087807655,
0.02792521007359028,
0.009762797504663467,
0.0031197851058095694,
0.025800246745347977,
-0.0478316955268383,
0.03029073402285576,
0.051239654421806335,
0.0072318874299526215,
0.0003260739322286099,
0.003335288492962718,
0.018112294375896454,
0.019134681671857834,
0.014413658529520035,
0.02914806455373764,
-0.0274240393191576,
0.03043106198310852,
-0.00023382727522403002,
0.036986369639635086,
-0.034099627286195755,
0.04863356798887253,
0.019766157492995262,
-0.024176456034183502,
0.03321756795048714,
0.0014496351359412074,
-0.03421990945935249,
0.010238909162580967,
-0.0052823349833488464,
0.06727710366249084,
0.0002408749860478565,
0.012439046986401081,
0.022512570023536682,
-0.013912487775087357,
-0.028406333178281784,
-0.012248602695763111,
-0.02934853360056877,
0.0016952086007222533,
-0.00035363828646950424,
-0.0012153380084782839,
-0.017099931836128235,
-0.01585702784359455,
-0.029368579387664795,
-0.05043778195977211,
0.051159463822841644,
0.012589397840201855,
-0.02108924649655819,
-0.009727715514600277,
0.00789343286305666,
0.01770133525133133,
0.03810898959636688,
-0.005009197164326906,
-0.006094230804592371,
-0.0065553076565265656,
-0.027584413066506386,
0.03688613325357437,
0.019916508346796036,
-0.057173509150743484,
-0.005079361144453287,
0.04059479385614395,
0.056852761656045914,
0.02179088443517685,
0.026942916214466095,
0.01604747399687767,
0.007738069631159306,
-0.0191046129912138,
0.05440704897046089,
-0.012449070811271667,
0.016147706657648087,
0.01479454804211855,
-0.0025647389702498913,
-0.010855348780751228,
0.0018430538475513458,
0.032896820455789566,
0.05853669345378876,
0.047911882400512695,
0.07008365541696548,
-0.042218588292598724,
-0.0034655926283448935,
-0.013371223583817482,
-0.002385570667684078,
0.017941897734999657,
-0.04314073920249939,
0.009858019649982452,
0.05849659815430641,
0.009126311168074608,
-0.015686631202697754,
-0.007176758721470833,
0.01032410841435194,
0.025399310514330864,
-0.00040281563997268677,
-0.00027627014787867665,
-0.015456092543900013,
0.009797879494726658,
0.004921492654830217,
-0.029549000784754753,
0.042539335787296295,
-0.03514206036925316,
-0.041456807404756546,
0.0009772820631042123,
-0.008675257675349712,
0.026441745460033417,
0.03421990945935249,
0.03151359036564827,
0.010354178957641125,
0.0146642429754138,
-0.05316414684057236,
-0.019736086949706078,
-0.01288007665425539,
0.0004385240317787975,
0.05709332227706909,
0.012729725800454617,
0.0058737159706652164,
-0.009482142515480518,
0.05524901673197746,
-0.02628137171268463,
-0.050397686660289764,
-0.01540597528219223,
0.010524576529860497,
-0.007973619736731052,
0.04987647011876106,
0.03610431030392647,
0.01115605141967535,
0.016729064285755157,
-0.034560706466436386,
-0.02134985476732254,
0.002736389869824052,
0.0640295222401619,
0.0073220981284976006,
-0.013581715524196625,
-0.05400611087679863,
0.00234171818010509,
-0.016658900305628777,
0.010203827172517776,
-0.017921850085258484,
0.019635852426290512,
-0.0038289411459118128,
0.022512570023536682,
0.027383945882320404,
-0.03219518065452576,
0.0010856601875275373,
0.06302718073129654,
0.03037092089653015,
-0.0021650558337569237,
0.02193121239542961,
0.001442117616534233,
-0.026882775127887726,
0.006349827628582716,
-0.011136004701256752,
0.051159463822841644,
0.03217513486742973,
0.02102910540997982,
0.012198485434055328,
0.012930193915963173,
0.013671926222741604,
0.020337490364909172,
-0.01556634996086359,
0.0435817688703537,
-0.03462084382772446,
0.026742447167634964,
0.00287671759724617,
-0.031052513048052788,
0.0363047756254673,
0.003530744928866625,
-0.015265647321939468,
0.02006685920059681,
-0.02996998466551304,
0.011005699634552002,
0.016207847744226456,
-0.012008040212094784,
-0.0012629491975530982,
0.03907123580574989,
-0.007251934614032507,
-0.013942558318376541,
-0.010384248569607735,
0.017350515350699425,
-0.011256285011768341,
0.015235577709972858,
-0.0200167428702116,
0.02064821682870388,
-0.05765463411808014,
-0.0123688830062747,
0.015746770426630974,
0.023414677008986473,
-0.022272009402513504,
0.030471155419945717,
0.004342640750110149,
-0.02543940581381321,
-0.0077430810779333115,
-0.02966928295791149,
0.011747431941330433,
-0.003500674618408084,
0.007517554797232151,
0.016438385471701622,
-0.03694627434015274,
0.009321767836809158,
0.013050475157797337,
-0.00014447800640482455,
0.016759134829044342,
-0.04815244302153587,
0.034480515867471695,
0.02754431962966919,
-0.03788847476243973,
-0.030831998214125633,
0.020928872749209404,
0.005527908448129892,
-0.041456807404756546,
-0.009842985309660435,
0.022071540355682373,
0.008895773440599442,
0.03542271628975868,
-0.042539335787296295,
-0.016438385471701622,
-0.0031473494600504637,
-0.03520220145583153,
-0.00634481618180871,
-0.029288392513990402,
0.03784838318824768,
0.03726702556014061,
0.026060856878757477,
-0.014644196256995201,
-0.022452430799603462,
-0.052963677793741226,
-0.008730386383831501,
0.06984309107065201,
-0.010634833946824074,
-0.025399310514330864,
0.031413353979587555,
-0.04402279853820801,
-0.021049153059720993,
0.024497205391526222,
-0.052322179079055786,
-0.018623488023877144,
-0.019796228036284447,
0.00104619306512177,
0.00583362253382802,
0.0015786865260452032,
0.017350515350699425,
0.05593060702085495,
-0.050277404487133026,
-0.011737409047782421,
-0.038389645516872406,
0.010664904490113258,
-0.0023191655054688454,
0.023855706676840782,
-0.06326773762702942,
0.039251659065485,
0.018112294375896454,
-0.012930193915963173,
-0.037046510726213455,
-0.0173304695636034,
-0.043381303548812866,
-0.023053834214806557,
-0.010755115188658237,
0.004503015428781509,
0.008249263279139996,
-0.010584716685116291,
0.0002385257394053042,
0.0548480786383152,
0.009186452254652977,
0.011446730233728886,
-0.02952895499765873,
0.019776180386543274,
0.06282670795917511,
0.043501581996679306,
-0.0274240393191576,
-0.01611763797700405,
-0.02505851536989212,
-0.016408316791057587,
-0.0036059203557670116,
-0.04658879339694977,
0.050277404487133026,
-0.018443066626787186,
0.024817952886223793,
-0.009817926213145256,
-0.007512542884796858,
-0.08531923592090607,
-0.04498504847288132,
0.014674266800284386,
0.0618644617497921,
0.04217849299311638,
0.013822277076542377,
-0.01226864941418171,
0.008319427259266376,
0.01415304932743311,
0.009356849826872349,
-0.023434724658727646,
0.005938868038356304,
0.027003055438399315,
0.0236552394926548,
0.025740107521414757,
-0.010875395499169827,
-0.027664601802825928,
-0.019154729321599007,
-0.023154068738222122,
-0.004147184547036886,
-0.03993324935436249,
-0.0013468952383846045,
0.04474448412656784,
-0.011657221242785454,
-0.01320082601159811,
0.04875384643673897,
0.0073120747692883015,
0.002202643547207117,
0.022913506254553795,
-0.0066254716366529465,
0.022853367030620575,
0.000953476526774466,
-0.009361861273646355,
0.05031749978661537,
-0.009662563912570477,
0.06026071682572365,
0.01361178606748581,
-0.005968938581645489,
0.021590417250990868,
0.020227232947945595,
0.01345141138881445,
-0.02070835791528225,
-0.029107971116900444,
-0.0029769516550004482,
-0.020888779312372208,
0.009807903319597244,
0.019224893301725388,
-0.02383566088974476,
-0.005758446641266346,
-0.0030771857127547264,
-0.014493845403194427,
-0.0008576277177780867,
-0.005302381701767445,
-0.020928872749209404,
0.015867052599787712,
-0.012408976443111897,
-0.025619827210903168,
0.020487843081355095,
0.023214207962155342,
0.0052673001773655415,
-0.04241905361413956,
-0.030791904777288437,
-0.007768139708787203,
0.03842974081635475,
0.004056973848491907,
0.01571670174598694,
0.027845023199915886,
-0.023695332929491997,
0.004417816177010536,
-0.03692622855305672,
-0.009853008203208447,
-0.016448410227894783,
0.0009309238521382213,
-0.0052121710032224655,
-0.04538598284125328,
0.014112955890595913,
-0.007918491028249264,
0.040935590863227844,
0.0200167428702116,
-0.037627868354320526,
0.03482131287455559,
0.014533938840031624,
-0.005342475604265928,
-0.02389580011367798,
-0.0478316955268383,
0.001434599980711937,
-0.02255266346037388,
-0.0352623425424099,
-0.04847319424152374,
0.03423995524644852,
0.04342139512300491,
0.005317416973412037,
0.0127798430621624,
-0.04047451540827751,
-0.014864711090922356,
-0.059098001569509506,
-0.0014959933469071984,
-0.03417981415987015,
0.011326448991894722,
-0.0024432053323835135,
-0.0015273165190592408,
0.00895090214908123,
-0.0058737159706652164,
0.0672370120882988,
-0.02582029439508915,
0.025659920647740364,
0.02531912364065647,
-0.002241484122350812,
-0.008449731394648552,
-0.018763815984129906,
-0.004748588893562555,
0.0618644617497921,
0.05508863925933838,
0.018964285030961037,
0.02774478867650032,
-0.024637533351778984,
-0.055649951100349426,
-0.022392289713025093,
0.005598072428256273,
0.014082885347306728,
-0.00949216540902853,
-0.006329780910164118,
-0.0141229797154665,
0.03945212811231613,
-0.059739500284194946,
0.011266308836638927,
-0.05144011974334717,
0.01814236491918564,
-0.018122319132089615,
-0.0003846482140943408,
0.0052773235365748405,
-0.021891118958592415,
0.030390968546271324,
0.04021390527486801,
0.0328366793692112,
0.061463527381420135,
-0.0029543989803642035,
0.03520220145583153,
-0.01711997762322426,
0.004142172634601593,
0.016909485682845116,
0.00693619716912508,
0.014143026433885098,
-0.011987993493676186,
0.03754768148064613,
-0.002411882160231471,
0.0008432190516032279,
0.012669585645198822,
0.015155389904975891,
0.021369902417063713,
-0.058336224406957626,
0.02768464758992195,
-0.00500167952850461,
0.02736389823257923,
0.023815613240003586
] |
Navigation is one of the most heavily studied problems in robotics, and is
conventionally approached as a geometric mapping and planning problem. However,
real-world navigation presents a complex set of physical challenges that defies
simple geometric abstractions. Machine learning offers a promising way to go
beyond geometry and conventional planning, allowing for navigational systems
that make decisions based on actual prior experience. Such systems can reason
about traversability in ways that go beyond geometry, accounting for the
physical outcomes of their actions and exploiting patterns in real-world
environments. They can also improve as more data is collected, potentially
providing a powerful network effect. In this article, we present a general
toolkit for experiential learning of robotic navigation skills that unifies
several recent approaches, describe the underlying design principles, summarize
experimental results from several of our recent papers, and discuss open
problems and directions for future work. | [
0.029883569106459618,
0.018613005056977272,
-0.02573997899889946,
-0.07995470613241196,
0.020386461168527603,
0.04783359915018082,
-0.03536967933177948,
0.02411569096148014,
-0.06981119513511658,
-0.0533694326877594,
0.004240964073687792,
0.01153575349599123,
0.018132347613573074,
0.016673805192112923,
-0.02396652288734913,
0.03172332048416138,
0.028126686811447144,
-0.030215054750442505,
-0.041038110852241516,
-0.010010912083089352,
-0.015472163446247578,
-0.03142498433589935,
-0.07246309518814087,
0.06278367340564728,
0.033413905650377274,
0.004108368884772062,
-0.007707076612859964,
0.0037955280859023333,
-0.10574440658092499,
0.0320216603577137,
0.028325578197836876,
0.03343047946691513,
-0.0028922255150973797,
0.01988922990858555,
-0.016334030777215958,
-0.028756512328982353,
0.03240286931395531,
0.04289444163441658,
-0.030844880267977715,
0.044750768691301346,
0.06192180514335632,
-0.017916882410645485,
-0.0021691692527383566,
-0.04272869601845741,
-0.02557423524558544,
-0.02772890217602253,
-0.04422038793563843,
0.0005464358837343752,
-0.024612922221422195,
0.007002666592597961,
-0.01673181541264057,
-0.03563487157225609,
0.05005456134676933,
-0.0031221946701407433,
-0.04514855146408081,
0.009124184027314186,
0.0371265634894371,
-0.005138051230460405,
-0.005618707742542028,
0.014709742739796638,
0.02355216257274151,
-0.013259487226605415,
-0.06122567877173424,
-0.009671138599514961,
-0.009455671533942223,
-0.07067306339740753,
0.030513394623994827,
-0.027944369241595268,
0.0555572509765625,
-0.007963979616761208,
-0.027215097099542618,
0.016574358567595482,
-0.037690091878175735,
-0.015157250687479973,
0.022806316614151,
-0.013168327510356903,
0.012182153761386871,
0.01278711762279272,
-0.008568943478167057,
-0.005494399927556515,
0.02348586544394493,
0.009289927780628204,
-0.016723528504371643,
-0.043756306171417236,
0.0725293904542923,
-0.007396307308226824,
0.0618555061519146,
-0.05827544629573822,
0.07233049720525742,
-0.0069446563720703125,
-0.06195495277643204,
0.04004364833235741,
-0.0351707898080349,
0.016499774530529976,
0.024629496037960052,
0.05499372258782387,
0.028640491887927055,
-0.020336737856268883,
-0.02113230712711811,
0.028425024822354317,
0.010400409810245037,
0.004508225712925196,
0.0010131077142432332,
0.015414153225719929,
0.023933373391628265,
-0.04644135385751724,
-0.02176213264465332,
0.02416541427373886,
-0.04243035614490509,
0.09062859416007996,
0.02511015348136425,
-0.04322592541575432,
-0.02622063457965851,
0.02479523979127407,
-0.03616524860262871,
0.028574194759130478,
-0.04153534397482872,
-0.10010912269353867,
0.06036381423473358,
-0.018712449818849564,
0.06487204134464264,
0.07935802638530731,
0.033148717135190964,
-0.04524799808859825,
-0.04959047958254814,
0.051612552255392075,
-0.018596429377794266,
-0.01546387653797865,
0.025309044867753983,
0.03417632728815079,
0.005175343248993158,
0.025126727297902107,
0.004980594851076603,
0.05005456134676933,
0.029436061158776283,
0.002722338307648897,
-0.04422038793563843,
0.0005068128230050206,
-0.025242747738957405,
0.005175343248993158,
-0.01857985556125641,
-0.05353517830371857,
-0.04978937283158302,
-0.02484496310353279,
-0.004191240761429071,
0.020585352554917336,
-0.03086145594716072,
0.023038357496261597,
-0.08254030346870422,
0.05250756815075874,
-0.06052955612540245,
0.03888344392180443,
0.006505435798317194,
0.016135137528181076,
0.03401058539748192,
-0.0048935795202851295,
-0.060662150382995605,
0.03457411006093025,
0.004470933228731155,
-0.013218050822615623,
0.06961230933666229,
-0.05466223508119583,
-0.0033480203710496426,
0.09367827326059341,
0.06447425484657288,
0.02249140478670597,
0.049093250185251236,
-0.018745599314570427,
-0.05194403976202011,
0.03583376482129097,
-0.07445202022790909,
-0.05880582332611084,
-0.01826494373381138,
0.02244168147444725,
0.05963454023003578,
-0.04514855146408081,
0.05277275666594505,
0.06861784309148788,
-0.042198315262794495,
-0.004156020469963551,
-0.057678766548633575,
-0.012480491772294044,
0.01606055349111557,
0.056419115513563156,
0.017751138657331467,
0.03049681894481182,
0.037855833768844604,
-0.014825764112174511,
0.009066173806786537,
-0.021878153085708618,
-0.004280328284949064,
-0.009389374405145645,
-0.0356680192053318,
-0.0007577589713037014,
0.02360188588500023,
-0.06583335250616074,
0.01137829665094614,
0.04170108586549759,
-0.04289444163441658,
0.028010666370391846,
-0.038054727017879486,
-0.05237497389316559,
0.015190399251878262,
0.03173989802598953,
0.02338642068207264,
0.01038383599370718,
-0.013085455633699894,
-0.04335852339863777,
-0.007611773908138275,
-0.08101546764373779,
-0.026618419215083122,
0.03228684887290001,
-0.03556857258081436,
-0.024397455155849457,
-0.049258992075920105,
-0.035237085074186325,
0.005693292245268822,
-0.030314501374959946,
0.020916840061545372,
0.00792668666690588,
-0.0019112307345494628,
0.004901866428554058,
0.06394387781620026,
-0.0026249641086906195,
-0.03991105407476425,
0.027132224291563034,
0.06294941157102585,
-0.01746937446296215,
0.027447137981653214,
-0.00957169197499752,
0.0108562046661973,
-0.009861743077635765,
0.06294941157102585,
-0.03483930230140686,
-0.024347731843590736,
0.015140676870942116,
0.051811445504426956,
0.01472631748765707,
-0.040574029088020325,
-0.021380921825766563,
-0.002983384532853961,
-0.015198687091469765,
-0.028706789016723633,
-0.027596306055784225,
0.04952418431639671,
-0.009372799657285213,
-0.0036960819270461798,
0.021115733310580254,
0.024248287081718445,
-0.011187692172825336,
0.0033397332299500704,
0.008245743811130524,
0.016963856294751167,
-0.012074420228600502,
-0.029170870780944824,
0.04498280957341194,
0.04508225619792938,
-0.032353147864341736,
-0.006766481790691614,
0.0032112819608300924,
0.033612798899412155,
0.0659990981221199,
0.04896065592765808,
0.02855761907994747,
0.0022934768348932266,
-0.02448032796382904,
0.018496984615921974,
0.05562354624271393,
0.0008281999616883695,
-0.04146904498338699,
-0.033198438584804535,
-0.056419115513563156,
0.024513475596904755,
0.025657106190919876,
0.01654120907187462,
-0.06739134341478348,
0.008050994947552681,
0.01080648135393858,
0.009671138599514961,
0.057778213173151016,
0.0014274666318669915,
-0.0640433207154274,
-0.006667035631835461,
0.022358810529112816,
-0.03825362026691437,
0.00540324067696929,
-0.03357965126633644,
0.01967376284301281,
-0.05303794890642166,
0.06391072273254395,
-0.011121394112706184,
-0.0029937434010207653,
-0.03447466716170311,
-0.028690215200185776,
0.030198480933904648,
0.008925291709601879,
-0.012994296848773956,
-0.047468964010477066,
0.02887253277003765,
0.024513475596904755,
-0.010193230584263802,
0.016938993707299232,
0.026386378332972527,
0.02736426517367363,
0.029436061158776283,
-0.028706789016723633,
-0.039314378052949905,
0.02804381400346756,
-0.025673681870102882,
-0.02149694226682186,
0.025193024426698685,
0.03841936215758324,
0.024032820016145706,
-0.04796619340777397,
0.03483930230140686,
0.06974489986896515,
0.057413578033447266,
0.029121147468686104,
-0.04498280957341194,
-0.04163478687405586,
-0.012720820493996143,
0.010781620629131794,
-0.06460685282945633,
0.003774810116738081,
-0.006766481790691614,
-0.006451569031924009,
0.011353435926139355,
0.014386543072760105,
-0.06222014129161835,
-0.010566153563559055,
-0.02898855321109295,
-0.01232303585857153,
-0.03838621452450752,
0.03023163042962551,
0.02564053237438202,
-0.012273312546312809,
-0.03815417364239693,
0.0293531883507967,
0.04945788532495499,
-0.03248574212193489,
-0.006173948757350445,
-0.045115403831005096,
-0.00477341515943408,
-0.013110317289829254,
0.014469414949417114,
-0.08499331027269363,
-0.019342277199029922,
0.035966359078884125,
-0.004334194585680962,
-0.037690091878175735,
0.0009390410268679261,
0.012944573536515236,
0.0019019076135009527,
-0.04408779367804527,
0.023635035380721092,
-0.03440836817026138,
-0.025872573256492615,
-0.0062775383703410625,
-0.025756552815437317,
-0.052805908024311066,
0.028690215200185776,
-0.05220922827720642,
-0.05184459313750267,
0.032568614929914474,
-0.06321460008621216,
0.03918178379535675,
-0.014013620093464851,
-0.018397537991404533,
0.0018853333313018084,
0.04498280957341194,
-0.0003778435930144042,
0.0018760102102532983,
0.029585229232907295,
-0.025342194363474846,
0.011204265989363194,
-0.004839712753891945,
0.05065124109387398,
-0.011370009742677212,
0.002334912773221731,
0.02239195816218853,
0.059037864208221436,
0.025143301114439964,
-0.04209887236356735,
-0.0021753846667706966,
0.005241640843451023,
0.10322510451078415,
0.008428061380982399,
-0.04140274599194527,
0.0638112798333168,
0.05890526995062828,
0.037590645253658295,
-0.003445394802838564,
-0.051877740770578384,
0.022408531978726387,
0.0014305743388831615,
-0.03593320772051811,
0.019027363508939743,
-0.05562354624271393,
-0.004267897456884384,
0.008742974139750004,
-0.016416901722550392,
0.0065344409085810184,
0.02632008120417595,
-0.025723405182361603,
0.03490559756755829,
0.0009576871525496244,
0.005183630622923374,
-0.03576746582984924,
0.0014916922664269805,
0.015778789296746254,
0.03755749762058258,
-0.030645988881587982,
0.008519220165908337,
0.009124184027314186,
0.001382922986522317,
0.001191282062791288,
-0.013300922699272633,
0.03175647184252739,
-0.0061159380711615086,
-0.07412052899599075,
-0.03841936215758324,
0.04309333115816116,
0.036132100969552994,
-0.01278711762279272,
-0.07538018375635147,
0.042562954127788544,
0.03546912595629692,
-0.041667938232421875,
-0.01096393819898367,
-0.03848566114902496,
0.033297885209321976,
0.02855761907994747,
0.04233091324567795,
-0.024347731843590736,
-0.007267856039106846,
-0.030430521816015244,
0.04186682775616646,
0.02484496310353279,
-0.014850624836981297,
-0.012886563315987587,
0.002328697359189391,
-0.015132389031350613,
-0.03096090257167816,
-0.045015957206487656,
0.006857641041278839,
0.0028756512328982353,
0.013267774134874344,
-0.03815417364239693,
0.008494358509778976,
-0.07498239725828171,
-0.06639687716960907,
0.024977557361125946,
-0.045015957206487656,
-0.01689755916595459,
0.058872122317552567,
-0.018231794238090515,
-0.08691593259572983,
-0.01580365002155304,
-0.03404373303055763,
-0.005888040643185377,
0.06553501635789871,
0.0258394256234169,
-0.022955486550927162,
-0.05220922827720642,
0.06122567877173424,
0.0042368206195533276,
-0.03599950671195984,
-0.006455712486058474,
-0.0057264408096671104,
0.02537534199655056,
0.03323158994317055,
-0.05926990509033203,
0.033248163759708405,
0.013715282082557678,
-0.019027363508939743,
-0.00546539481729269,
-0.0065841637551784515,
-0.04548003897070885,
-0.0326349101960659,
-0.025889147073030472,
0.02605489082634449,
0.0667283684015274,
0.019226256757974625,
-0.0333641842007637,
-0.037789538502693176,
-0.04624246060848236,
0.07717021554708481,
-0.008850707672536373,
-0.018795322626829147,
-0.053236838430166245,
-0.005204348359256983,
-0.019425148144364357,
-0.04362371191382408,
0.008428061380982399,
-0.014933496713638306,
-0.01720418408513069,
-0.02224278822541237,
-0.02913772314786911,
0.03150785714387894,
0.0480324923992157,
-0.0349387489259243,
-0.022507978603243828,
0.002846646122634411,
0.04577837884426117,
-0.04163478687405586,
0.016184860840439796,
0.030695712193846703,
0.019159957766532898,
0.006662892177700996,
-0.0036774356849491596,
0.007280286867171526,
0.018712449818849564,
0.01659093238413334,
-0.01142801996320486,
0.0009053743560798466,
0.038220468908548355,
0.0027989947702735662,
-0.01751909777522087,
0.030811732634902,
0.021579815074801445,
0.010499856434762478,
0.037855833768844604,
0.026502398774027824,
0.022723445668816566,
-0.07372274994850159,
0.06619799137115479,
0.030645988881587982,
-0.028010666370391846,
0.04199942573904991,
0.009463958442211151,
-0.016648942604660988,
0.016367178410291672,
-0.05041920021176338,
-0.054695382714271545,
-0.01788373291492462,
-0.008751261048018932,
0.07047417014837265,
0.00957169197499752,
0.03137525916099548,
-0.018066050484776497,
-0.0366293340921402,
0.026668142527341843,
-0.004288615193217993,
0.00837005116045475,
-0.0021546666976064444,
-0.002840430708602071,
0.04037513583898544,
0.0043217637576162815,
-0.006928081624209881,
-0.0183146670460701,
0.007466748356819153,
-0.007562051061540842,
-0.0020800819620490074,
0.00612008199095726,
-0.02552451193332672,
-0.003977845888584852,
-0.012016410008072853,
-0.0018366461154073477,
-0.004309333395212889,
-0.02297206036746502,
-0.0006997486925683916,
-0.02113230712711811,
0.006078646052628756,
-0.014510850422084332,
0.015886522829532623,
-0.03891659528017044,
0.011179405264556408,
0.0555572509765625,
0.004814851097762585,
0.017817435786128044,
-0.027231670916080475,
0.0047899894416332245,
-0.021430645138025284,
-0.015107527375221252,
0.054231300950050354,
-0.008009558543562889,
0.01799975335597992,
-0.028159834444522858,
0.0010405589127913117,
-0.03503819555044174,
-0.007338297087699175,
-0.013765004463493824,
0.021049436181783676,
0.038220468908548355,
-0.004149804823100567,
-0.009414236061275005,
-0.04567893221974373,
-0.0044502150267362595,
0.059037864208221436,
-0.010980512946844101,
-0.03782268613576889,
0.03258518874645233,
0.02882280945777893,
0.017088163644075394,
-0.014568861573934555,
0.004868717864155769,
-0.007338297087699175,
0.0030331076122820377,
0.03742489963769913,
-0.04458502307534218,
0.015148963779211044,
0.0319056399166584,
0.027844922617077827,
0.029253743588924408,
0.01229817420244217,
-0.04090551659464836,
0.03603265434503555,
0.011370009742677212,
-0.019126810133457184,
-0.007872819900512695,
-0.04441928118467331,
0.033413905650377274,
0.03386141359806061,
-0.030364224687218666,
0.02986699342727661,
0.01856328174471855,
0.006062071770429611,
0.020900266245007515,
-0.0025938870385289192,
0.005249928217381239,
-0.022043896839022636,
0.029750972986221313,
0.009803732857108116,
0.005316225346177816,
-0.025756552815437317,
0.02186157926917076,
0.01788373291492462,
-0.012513640336692333,
-0.010060635395348072,
0.012944573536515236,
0.009356224909424782,
0.0032029948197305202,
0.0012223589001223445,
-0.023999670520424843,
0.022938912734389305,
0.02683388628065586,
-0.01591138355433941,
0.091225266456604,
-0.006861784495413303,
-0.017535671591758728,
-0.05983343347907066,
0.007905969396233559,
-0.013947322964668274,
0.0502203069627285,
0.0011974973604083061,
0.015927959233522415,
-0.00608278950676322,
-0.04127015173435211,
0.013839589431881905,
-0.005109046120196581,
-0.004446071572601795,
-0.0051629128865897655,
-0.01033411268144846,
0.04819823428988457,
-0.005651856306940317,
0.01611027680337429,
-0.0190439373254776,
-0.03457411006093025,
-0.025391917675733566,
0.02882280945777893,
-0.010541291907429695,
0.028574194759130478,
-0.019126810133457184,
0.02782834880053997,
0.0009131435654126108,
0.0206185020506382,
0.06755708158016205,
0.013914174400269985,
-0.003246502485126257,
0.036065805703401566,
-0.005979199893772602,
0.018662728369235992,
-0.0645405501127243,
0.028226133435964584,
-0.011204265989363194,
-0.027496861293911934,
0.02312123030424118,
0.014610297046601772,
0.04070662334561348,
-0.0027430562768131495,
-0.006807917729020119,
-0.016599219292402267,
-0.007885251194238663,
-0.014013620093464851,
-0.00829546619206667,
-0.008432204835116863,
0.018347814679145813,
-0.0006728153675794601,
-0.021646112203598022,
0.034507814794778824,
-0.04733636602759361,
0.016300881281495094,
-0.013723568990826607,
0.05131421238183975,
0.03652988746762276,
0.05002141371369362,
0.011958399787545204,
-0.008254030719399452,
0.02370133250951767,
-0.014958358369767666,
-0.026701292023062706,
-0.016988717019557953,
-0.029469208791851997,
-0.0055979895405471325,
0.06692726165056229,
-0.00014709743845742196,
0.003246502485126257,
0.022375384345650673,
-0.006671179085969925,
0.038684554398059845,
-0.00546539481729269,
-0.012472204864025116,
0.018695876002311707,
0.04597727209329605,
0.018662728369235992,
0.00305382558144629,
-0.003704369068145752,
-0.008726399391889572,
-0.011278850957751274,
0.04010994732379913,
0.00048091536154970527,
0.002181599847972393,
-0.003383240895345807,
-0.07047417014837265,
-0.05983343347907066,
0.01142801996320486,
0.030115609988570213,
-0.03888344392180443,
0.0057968818582594395,
-0.01422908715903759,
0.039679013192653656,
-0.03265148773789406,
-0.0017403076635673642,
0.015298132784664631,
0.038684554398059845,
0.017171034589409828,
0.029469208791851997,
0.014353394508361816,
-0.003569702384993434,
-0.02380077913403511,
0.00970428716391325,
-0.016300881281495094,
0.026668142527341843,
-0.008390769362449646,
-0.010292676277458668,
0.003971630707383156,
0.014295384287834167,
0.024314584210515022,
-0.01626773364841938,
0.005225066561251879,
0.05121476948261261,
0.00005969358971924521,
0.016781538724899292,
-0.03626469522714615,
0.013234625570476055,
-0.0024716511834412813,
0.022275937721133232,
-0.03411002829670906,
0.029419485479593277,
0.0009224666282534599,
0.017651692032814026,
0.05509316921234131,
-0.020800819620490074,
0.01814892329275608,
0.03318186476826668,
-0.011079958640038967,
0.0032174973748624325,
-0.003227856243029237,
-0.010582728311419487,
0.018215220421552658,
-0.0033438769169151783,
-0.003120122943073511,
0.0548279769718647,
-0.018182070925831795,
-0.019110234454274178,
-0.02433115802705288,
-0.01877874881029129,
0.029800696298480034,
-0.05837488919496536,
0.014693168923258781,
-0.018811896443367004,
-0.008709825575351715,
0.04557948559522629,
0.01773456297814846,
-0.008593805134296417,
-0.00514219468459487,
0.023767629638314247,
-0.0004024461377412081,
-0.005987486802041531,
-0.0160688403993845,
0.026137763634324074,
-0.0010250204941257834,
-0.018646152690052986,
0.022093620151281357,
0.033480204641819,
-0.004429497290402651,
-0.008718112483620644,
-0.021314624696969986,
0.019391998648643494,
-0.019375424832105637,
0.010027486830949783,
-0.0018853333313018084,
-0.03440836817026138,
0.0540987066924572,
-0.023717906326055527,
-0.011651773937046528,
-0.012447343207895756,
-0.009936328046023846,
-0.003644287120550871,
0.016988717019557953,
0.016499774530529976,
0.033927712589502335,
-0.02850789576768875,
0.005390810314565897,
0.016342317685484886,
-0.029419485479593277,
0.03338075801730156,
0.0380878746509552,
-0.002314194804057479,
0.01678982563316822,
-0.007466748356819153,
-0.029419485479593277,
-0.0023369845002889633,
0.01611027680337429,
-0.04869546368718147,
-0.015339569188654423,
0.007019240874797106,
-0.017021866515278816,
0.0356680192053318,
-0.013309209607541561,
0.029054850339889526,
0.038949742913246155,
-0.02491126023232937,
-0.00304761016741395,
0.00957169197499752,
0.009289927780628204,
0.016781538724899292,
-0.005117333028465509,
-0.030728859826922417,
0.03961271792650223,
-0.01483405102044344,
-0.0071228304877877235,
0.008751261048018932,
0.02081739343702793,
-0.061126235872507095,
0.014237374067306519,
-0.010508143343031406,
0.01349981501698494,
0.021745558828115463,
0.026717865839600563,
0.012613086961209774,
0.015240122564136982,
0.004404635634273291,
0.019275978207588196,
-0.05075068399310112,
0.0044502150267362595,
0.02719852142035961,
0.0805513858795166,
-0.037491198629140854,
-0.005556553602218628,
0.021563241258263588,
-0.011179405264556408,
-0.004077292047441006,
-0.010027486830949783,
0.015256697311997414,
-0.06649632751941681,
-0.003395671723410487,
-0.003592492314055562,
-0.034607261419296265,
-0.03483930230140686,
0.01652463525533676,
0.036496736109256744,
-0.05747987702488899,
0.06954600661993027,
-0.00970428716391325,
0.0426955483853817,
0.004549661185592413,
0.01804947666823864,
-0.0033355895429849625,
-0.04352426528930664,
-0.02484496310353279,
0.023585312068462372,
0.032518889755010605,
0.0008919076644815505,
0.01720418408513069,
0.0013394153211265802,
-0.015289845876395702,
-0.014867199584841728,
0.007367302197962999,
-0.01867930218577385,
0.001257579424418509,
0.021563241258263588,
-0.037491198629140854,
0.0014026050921529531,
0.02385050244629383,
-0.005241640843451023,
-0.020800819620490074,
0.0017517025116831064,
0.007367302197962999,
0.03520393744111061,
0.003640143433585763,
0.009215343743562698,
0.0019122665980830789,
-0.022789742797613144,
-0.02491126023232937,
-0.02385050244629383,
0.007354871369898319,
0.003986133262515068,
0.05476168170571327,
-0.010325825773179531,
-0.01616828702390194,
-0.01857985556125641,
0.01156061515212059,
-0.007255425211042166,
-0.003379097441211343,
0.03318186476826668,
-0.03490559756755829,
-0.04677284136414528,
0.050087712705135345,
-0.03417632728815079,
0.04816508665680885,
-0.027480285614728928,
-0.009820307604968548,
0.0103092510253191,
-0.025872573256492615,
0.021878153085708618,
0.01647491194307804,
-0.026651568710803986,
0.009563405066728592,
-0.014461128041148186,
-0.014660020358860493,
0.016259444877505302,
0.012695958837866783,
0.005382522940635681,
0.027447137981653214,
-0.05718153715133667,
0.03172332048416138,
-0.007172553800046444,
-0.023684758692979813,
0.017651692032814026,
-0.03762379288673401,
0.005859035532921553,
-0.01773456297814846,
0.052872203290462494,
-0.016648942604660988,
-0.0009633845766074955,
0.023419568315148354,
0.017717989161610603,
-0.008585517294704914,
0.029469208791851997,
-0.01814892329275608,
0.004334194585680962,
0.020585352554917336,
-0.011195979081094265,
-0.026436101645231247,
0.022905763238668442,
-0.015206973999738693,
-0.01882847212255001,
-0.0011063384590670466,
0.034872449934482574,
0.011784369125962257,
0.0328669510781765,
-0.015405866317451,
-0.007852102629840374,
-0.01470145583152771,
0.013284347951412201,
-0.04359056428074837,
-0.012671097181737423,
-0.016151713207364082,
0.010392122901976109,
-0.0068162051029503345,
0.004317620303481817,
0.014311958104372025,
0.0183146670460701,
0.017021866515278816,
0.029535505920648575,
-0.024927835911512375,
-0.02166268602013588,
-0.0005692256381735206,
-0.010789907537400723,
0.020204143598675728,
0.01758539490401745,
-0.01773456297814846,
-0.008220882155001163,
-0.006024779286235571,
-0.005875610280781984,
-0.009405948221683502,
0.0010970153380185366,
0.01098879985511303,
0.019657189026474953,
0.004197456408292055,
-0.02260742522776127,
0.03553542494773865,
-0.03546912595629692,
-0.01664065569639206,
-0.011883814819157124,
0.037491198629140854,
-0.010342399589717388,
0.022193066775798798,
0.009306502528488636,
-0.034242626279592514,
-0.04713747650384903,
0.004835569299757481,
0.0205024816095829,
0.04262924939393997,
0.0025814564432948828,
0.07339125871658325,
-0.029005127027630806,
0.023833926767110825,
0.009488820098340511,
0.010085497051477432,
0.04186682775616646,
-0.012231876142323017,
0.023833926767110825,
0.017800860106945038,
0.008983301930129528,
-0.018712449818849564,
0.023253824561834335,
-0.04186682775616646,
-0.04760155826807022,
0.015927959233522415,
-0.030944326892495155,
0.0053618052043020725,
-0.02124832756817341
] |
With the growing need to reduce energy consumption and greenhouse gas
emissions, Eco-driving strategies provide a significant opportunity for
additional fuel savings on top of other technological solutions being pursued
in the transportation sector. In this paper, a model-free deep reinforcement
learning (RL) control agent is proposed for active Eco-driving assistance that
trades-off fuel consumption against other driver-accommodation objectives, and
learns optimal traction torque and transmission shifting policies from
experience. The training scheme for the proposed RL agent uses an off-policy
actor-critic architecture that iteratively does policy evaluation with a
multi-step return and policy improvement with the maximum posteriori policy
optimization algorithm for hybrid action spaces. The proposed Eco-driving RL
agent is implemented on a commercial vehicle in car following traffic. It shows
superior performance in minimizing fuel consumption compared to a baseline
controller that has full knowledge of fuel-efficiency tables. | [
-0.032666001468896866,
-0.02683412656188011,
-0.02280244417488575,
-0.06971997022628784,
-0.04297960549592972,
0.056218523532152176,
-0.011204325594007969,
0.01818007417023182,
-0.10516127198934555,
0.016464265063405037,
0.04132942855358124,
-0.06491945683956146,
0.018301961943507195,
-0.018798889592289925,
-0.023252492770552635,
0.061431583017110825,
0.023515019565820694,
0.01301389466971159,
0.03619137778878212,
-0.04631746560335159,
0.007575811818242073,
-0.03844162076711655,
-0.0000940530517254956,
0.007397667970508337,
-0.015067240223288536,
0.03347233682870865,
0.0018388689495623112,
0.019595850259065628,
-0.05171804130077362,
0.043579671531915665,
0.02685287781059742,
0.03204718604683876,
-0.01925831474363804,
0.006741347722709179,
-0.04511733725667,
0.0005045462748967111,
0.026871630921959877,
-0.012301318347454071,
0.008696244098246098,
0.07343287020921707,
0.01466407161206007,
0.004533298313617706,
-0.07320784777402878,
-0.028765583410859108,
0.03367860987782478,
-0.00961978081613779,
-0.02503393217921257,
0.009577589109539986,
-0.016586152836680412,
-0.027696719393134117,
-0.015170375816524029,
-0.05685609206557274,
0.05719362944364548,
-0.03793531656265259,
-0.05171804130077362,
0.05273064970970154,
0.01998964324593544,
0.03636014834046364,
0.0004225062148179859,
0.021171018481254578,
-0.0006756583461537957,
-0.029590671882033348,
-0.0652569904923439,
-0.008766564540565014,
-0.01826445758342743,
-0.01842384971678257,
0.07264528423547745,
0.02321498841047287,
0.0175237525254488,
0.011466854251921177,
-0.07260778546333313,
0.037616532295942307,
-0.034916240721940994,
0.008110243827104568,
0.004329370334744453,
-0.029703183099627495,
-0.04579240828752518,
0.01471095159649849,
0.005241186823695898,
0.01177626196295023,
0.018058184534311295,
0.04676751419901848,
-0.03459745645523071,
-0.020927242934703827,
0.03065953589975834,
-0.014157767407596111,
0.034822482615709305,
-0.07677073031663895,
0.026721613481640816,
0.00208733300678432,
-0.02330874837934971,
0.0009962004842236638,
-0.06593206524848938,
0.021039754152297974,
-0.0027518575079739094,
0.008363395929336548,
-0.013463943265378475,
-0.014026503078639507,
-0.027527950704097748,
0.011354342103004456,
-0.006736659444868565,
-0.01627674512565136,
0.013004519045352936,
0.03047201596200466,
0.04477979987859726,
-0.029365647584199905,
-0.07868343591690063,
0.02775297500193119,
-0.015292263589799404,
0.10861164331436157,
-0.01090429350733757,
-0.004144194070249796,
0.0010782405734062195,
0.06304425746202469,
-0.02073972299695015,
-0.015573544427752495,
-0.012892006896436214,
-0.0565185584127903,
0.09398507326841354,
0.015264135785400867,
0.012516966089606285,
0.036885201930999756,
0.05618102103471756,
-0.016314247623085976,
-0.003506625769659877,
0.01585482433438301,
0.027227917686104774,
-0.027959246188402176,
0.0798085555434227,
-0.024171341210603714,
-0.025577740743756294,
0.014598439447581768,
-0.023590028285980225,
0.03814158961176872,
0.04841769114136696,
0.020795978605747223,
0.02289620414376259,
-0.050105370581150055,
0.013970247469842434,
0.010379237122833729,
0.006038147024810314,
-0.05318069830536842,
-0.022539915516972542,
0.03690395504236221,
-0.011335589922964573,
0.017120584845542908,
-0.025952782481908798,
0.056968607008457184,
-0.02659034915268421,
-0.014832839369773865,
-0.04642997682094574,
0.05254312977194786,
-0.015170375816524029,
0.011129317805171013,
0.004184042103588581,
0.030190736055374146,
-0.025840269401669502,
0.007730516139417887,
-0.004530954174697399,
-0.06229417771100998,
0.021527307108044624,
-0.0038722900208085775,
-0.03997928649187088,
0.0285030547529459,
0.05201807618141174,
0.012488838285207748,
-0.0031808095518499613,
0.01239507831633091,
-0.10028574615716934,
0.04327964037656784,
0.005264626815915108,
-0.035666324198246,
0.02758420631289482,
0.05089295282959938,
0.01609859988093376,
-0.013276423327624798,
0.0715576708316803,
-0.032103441655635834,
0.009315060451626778,
0.019445834681391716,
-0.04252955690026283,
-0.002529177349060774,
0.014560936018824577,
0.06675715744495392,
0.07320784777402878,
0.028034254908561707,
0.03808533027768135,
0.010529253631830215,
-0.018986409530043602,
-0.06600707769393921,
-0.026084044948220253,
0.05963139235973358,
0.013210791163146496,
-0.025990284979343414,
0.01882701739668846,
0.0251089408993721,
-0.0063944351859390736,
0.007875843904912472,
-0.014082759618759155,
0.006900739390403032,
0.0047794184647500515,
-0.025802765041589737,
-0.02173358015716076,
0.020589707419276237,
0.029478158801794052,
0.0013149846345186234,
0.07609565556049347,
0.033322323113679886,
0.019220810383558273,
-0.08730936050415039,
-0.013079526834189892,
-0.027940494939684868,
-0.07587063312530518,
-0.0039051061030477285,
0.002226801123470068,
0.00834933202713728,
0.055318430066108704,
0.0018083968898281455,
0.006816355511546135,
-0.018480105325579643,
-0.011598117649555206,
0.016473639756441116,
0.017945673316717148,
-0.03170964866876602,
-0.01711120828986168,
-0.014148391783237457,
0.0017685489729046822,
-0.008053988218307495,
-0.019633354619145393,
-0.041854485869407654,
0.01337955892086029,
-0.005995955318212509,
0.017570633441209793,
0.005189618561416864,
-0.0020463131368160248,
0.0285030547529459,
0.007374227978289127,
0.004221545998007059,
0.019764618948101997,
-0.05036789923906326,
-0.008832196705043316,
-0.05306818708777428,
-0.039041683077812195,
-0.01045424584299326,
0.03690395504236221,
-0.01675492152571678,
-0.055393438786268234,
0.06529449671506882,
0.04042933136224747,
-0.00005629265433526598,
-0.08970961719751358,
-0.08498410880565643,
0.018564490601420403,
0.006717907730489969,
-0.029478158801794052,
0.042342036962509155,
0.041591957211494446,
-0.06296925246715546,
-0.029871951788663864,
-0.022539915516972542,
0.030959568917751312,
-0.022614924237132072,
0.02057095430791378,
0.09113476425409317,
-0.032084688544273376,
0.03621013090014458,
0.05194306746125221,
0.01785191334784031,
0.03022824041545391,
0.005245874635875225,
-0.004898962564766407,
-0.029215632006525993,
-0.012863879092037678,
-0.0038019700441509485,
-0.043167125433683395,
-0.06278172880411148,
-0.0322534553706646,
-0.07264528423547745,
0.05775618925690651,
0.000925294472835958,
-0.019595850259065628,
-0.0365101620554924,
0.08715934306383133,
0.019952138885855675,
-0.046542488038539886,
-0.0528806671500206,
-0.021827340126037598,
-0.006647587288171053,
-0.061094049364328384,
0.012310693971812725,
-0.02859681472182274,
-0.009118164889514446,
0.009591653011739254,
-0.021114762872457504,
0.04939279332756996,
0.008279012516140938,
-0.02857806347310543,
0.0028010813985019922,
-0.002826865529641509,
0.014739079400897026,
-0.03245972841978073,
0.024921420961618423,
0.03660392388701439,
0.01908954605460167,
-0.015301640145480633,
-0.007693012244999409,
-0.029365647584199905,
0.000648702320177108,
-0.041666965931653976,
0.0037246178835630417,
0.03604136407375336,
0.025390220806002617,
-0.020964747294783592,
-0.07298282533884048,
-0.024883916601538658,
0.016061095520853996,
0.018967658281326294,
0.010894917882978916,
-0.03636014834046364,
0.007716452237218618,
0.014954728074371815,
-0.014279655180871487,
-0.06289424002170563,
0.05524342134594917,
0.01768314465880394,
-0.007397667970508337,
0.02899060770869255,
-0.018564490601420403,
-0.0015915768453851342,
-0.0007102323579601943,
-0.0492427758872509,
0.008077428676187992,
-0.057531166821718216,
0.025127694010734558,
0.005363074596971273,
-0.005920947063714266,
-0.053480733186006546,
0.03570382669568062,
-0.04144194349646568,
0.005850627087056637,
-0.008030547760426998,
-0.03437243402004242,
-0.030378255993127823,
-0.021283531561493874,
0.011748134158551693,
-0.08573418855667114,
-0.012423206120729446,
0.03049076721072197,
-0.03658517077565193,
0.006295987404882908,
0.000987410545349121,
0.006713219452649355,
0.028446799144148827,
-0.02569025382399559,
0.017861289903521538,
-0.027884239330887794,
-0.008204004727303982,
-0.02882183901965618,
-0.027059150859713554,
0.02743419073522091,
0.04444226250052452,
-0.0424545519053936,
-0.03281601890921593,
0.0095822773873806,
-0.020345930010080338,
0.09758546203374863,
0.01982087455689907,
-0.004528610501438379,
0.052430618554353714,
0.003895730013027787,
-0.013417063280940056,
0.0343349315226078,
0.04567989706993103,
-0.01882701739668846,
0.017411241307854652,
-0.027377935126423836,
0.004823954310268164,
-0.017476873472332954,
-0.013323303312063217,
0.055880989879369736,
0.0446297824382782,
0.005953763145953417,
-0.03403489664196968,
0.022652428597211838,
0.006999187637120485,
0.06979498267173767,
-0.010426117107272148,
-0.06098153442144394,
0.042754583060741425,
-0.0011579366400837898,
0.02636532485485077,
-0.03877915441989899,
-0.007271091919392347,
-0.0388166606426239,
0.003398801665753126,
0.020852234214544296,
0.04065435752272606,
0.008991588838398457,
-0.006061587017029524,
-0.06221916899085045,
-0.027977999299764633,
0.05231810733675957,
-0.021939851343631744,
-0.004137162119150162,
-0.06300675123929977,
-0.002281885128468275,
-0.06120656058192253,
-0.013951495289802551,
0.011176197789609432,
0.04650498554110527,
-0.014560936018824577,
-0.04402972012758255,
-0.014364039525389671,
-0.03851662948727608,
0.00888376496732235,
-0.012216934002935886,
-0.03223470598459244,
-0.005292754620313644,
0.014860968105494976,
-0.025633998215198517,
-0.007500804029405117,
0.037391506135463715,
-0.010435493662953377,
0.013613958843052387,
0.03157838433980942,
0.008785316720604897,
0.05516841262578964,
0.01684868149459362,
-0.03124084882438183,
0.02312122844159603,
0.031934671103954315,
-0.00904315710067749,
-0.008668116293847561,
-0.022783691063523293,
-0.015498535707592964,
-0.02767796628177166,
0.0034714657813310623,
0.029384398832917213,
-0.013623335398733616,
0.025915278121829033,
-0.002683881437405944,
-0.07815837860107422,
-0.035722579807043076,
-0.013182662427425385,
0.023252492770552635,
-0.04140443727374077,
0.027621710672974586,
-0.009891685098409653,
0.0017755809240043163,
-0.026665357872843742,
-0.06818230450153351,
0.014073383063077927,
-0.03844162076711655,
-0.03362235426902771,
0.00035072118043899536,
-0.008621236309409142,
-0.00991981290280819,
-0.034166160970926285,
0.027902990579605103,
-0.005391202867031097,
0.04552987962961197,
0.041104406118392944,
-0.006066275294870138,
-0.01867700181901455,
0.002435417380183935,
0.0003316761867608875,
-0.025427725166082382,
-0.01759876124560833,
-0.012685734778642654,
-0.006666339468210936,
-0.0006047523347660899,
-0.06098153442144394,
0.004650498274713755,
0.012216934002935886,
-0.005888130981475115,
0.058693788945674896,
0.010388613678514957,
-0.07823338359594345,
0.013548326678574085,
-0.00805867649614811,
0.021546058356761932,
0.007599251810461283,
0.05276815593242645,
-0.04410472884774208,
-0.0014064006973057985,
0.021114762872457504,
0.06964496523141861,
-0.004941154737025499,
-0.0024940173607319593,
-0.02544647641479969,
-0.026384077966213226,
0.011044933460652828,
-0.03594760224223137,
0.025333965197205544,
-0.022371146827936172,
-0.02964692749083042,
0.017720649018883705,
-0.0057662432081997395,
0.040354326367378235,
0.02925313450396061,
0.004669250454753637,
-0.00574280321598053,
0.02518394961953163,
-0.044329751282930374,
-0.02559649385511875,
0.00822275597602129,
0.06578204780817032,
-0.021171018481254578,
-0.01700807362794876,
-0.027827981859445572,
0.03285352140665054,
0.04290459677577019,
-0.00406918628141284,
-0.008827508427202702,
-0.012929510325193405,
0.018892649561166763,
0.047555096447467804,
0.024246348068118095,
0.04046683758497238,
0.09008465707302094,
0.000659836339764297,
0.009446324780583382,
-0.0008497004164382815,
0.01974586583673954,
-0.033491089940071106,
0.07673322409391403,
0.028203023597598076,
-0.034166160970926285,
0.08498410880565643,
0.008363395929336548,
-0.06934493035078049,
0.02445262111723423,
-0.054568350315093994,
-0.04065435752272606,
-0.005142738576978445,
-0.019708361476659775,
0.008410276845097542,
0.057456158101558685,
0.001743936911225319,
0.0059818909503519535,
0.0023252491373568773,
0.05036789923906326,
0.01090429350733757,
0.010051077231764793,
-0.014120263047516346,
-0.017720649018883705,
0.018283208832144737,
-0.005395890679210424,
0.008335268124938011,
0.01066051796078682,
-0.017898794263601303,
0.001084100571461022,
0.04054184630513191,
0.042342036962509155,
-0.01626736856997013,
-0.0021728891879320145,
-0.03684769943356514,
-0.024846412241458893,
-0.026496589183807373,
-0.03967925161123276,
-0.004448914434760809,
-0.02287745103240013,
-0.010351109318435192,
-0.003187841735780239,
0.021189771592617035,
0.004852082580327988,
0.041516948491334915,
0.030284496024250984,
-0.010351109318435192,
0.018480105325579643,
-0.006853859405964613,
-0.024058828130364418,
-0.03487873822450638,
-0.05254312977194786,
-0.030171982944011688,
0.022539915516972542,
-0.000851458462420851,
0.006235043052583933,
-0.04961781948804855,
0.021677322685718536,
-0.010304229333996773,
-0.015198503620922565,
0.021771082654595375,
0.045079831033945084,
-0.012329446151852608,
0.004434850532561541,
-0.045979928225278854,
-0.013023271225392818,
0.03877915441989899,
-0.03214094415307045,
-0.006141283083707094,
0.007182019762694836,
-0.026215309277176857,
0.021846091374754906,
-0.027977999299764633,
-0.01123245432972908,
0.019061418250203133,
0.016717417165637016,
0.023571277037262917,
-0.05321820452809334,
0.01726122573018074,
0.08460906893014908,
0.006474131252616644,
0.035647571086883545,
-0.01967085897922516,
0.014542183838784695,
0.03587259352207184,
-0.00817587599158287,
0.0030214176513254642,
-0.00275654555298388,
0.026159053668379784,
0.02387130819261074,
0.029346894472837448,
-0.011551237665116787,
0.032084688544273376,
0.017626889050006866,
0.011101190000772476,
0.02205236442387104,
0.013613958843052387,
-0.056143518537282944,
0.015245383605360985,
-0.0064881956204771996,
0.026890382170677185,
0.011813766323029995,
-0.006783539429306984,
0.03485998511314392,
0.00009551805123919621,
-0.03731650114059448,
-0.008208692073822021,
0.03240347281098366,
0.02627156488597393,
-0.004113722126930952,
0.0157704409211874,
-0.010932421311736107,
0.020008394494652748,
-0.0025198012590408325,
-0.02569025382399559,
0.03390363231301308,
0.032872274518013,
0.01189815066754818,
-0.019277065992355347,
0.014889095909893513,
-0.04012930020689964,
0.03885416314005852,
0.003675393993034959,
-0.02964692749083042,
0.004041058011353016,
-0.019370825961232185,
0.038216594606637955,
-0.0022068771068006754,
0.017748776823282242,
-0.0020510011818259954,
0.029346894472837448,
0.04905525594949722,
0.002065065084025264,
-0.029215632006525993,
0.030115727335214615,
-0.0013138126814737916,
0.002402601297944784,
-0.0019115329487249255,
0.0045403302647173405,
-0.006272547412663698,
0.046730007976293564,
-0.02957191877067089,
0.031447120010852814,
0.02222113125026226,
0.04095438867807388,
0.014992231503129005,
0.017626889050006866,
0.037710290402173996,
-0.03562881797552109,
0.017542505636811256,
-0.02634657360613346,
-0.020758474245667458,
0.028803087770938873,
-0.008124308660626411,
-0.004472354426980019,
0.05576847866177559,
-0.033097296953201294,
0.00044184422586113214,
-0.040204308927059174,
-0.006605395581573248,
0.007899284362792969,
-0.0023768171668052673,
-0.042754583060741425,
-0.024921420961618423,
-0.01660490408539772,
0.005053666420280933,
-0.06079401448369026,
-0.007177331950515509,
-0.038366612046957016,
-0.03199093043804169,
0.001968960976228118,
-0.01718621701002121,
0.002922969637438655,
0.00814305990934372,
-0.03757902607321739,
0.016389256343245506,
0.013520198874175549,
-0.03185966610908508,
0.0021025692112743855,
-0.027659215033054352,
0.01033235713839531,
-0.00946038868278265,
0.02088973857462406,
-0.016979943960905075,
-0.002369785215705633,
-0.009451013058423996,
-0.02107725851237774,
-0.02015841007232666,
0.01420464739203453,
0.008724372833967209,
0.015920456498861313,
0.03450369834899902,
0.05351823568344116,
-0.005817811004817486,
0.006708531640470028,
-0.0004438952310010791,
-0.013595206663012505,
0.033828627318143845,
-0.01066051796078682,
0.006338179111480713,
0.019220810383558273,
-0.051605530083179474,
-0.03900418058037758,
0.0058412509970366955,
0.014401543885469437,
-0.061131551861763,
-0.03750402107834816,
0.0007823103806003928,
-0.010266724973917007,
-0.007646131794899702,
-0.001412260695360601,
0.031447120010852814,
0.0157704409211874,
0.02321498841047287,
0.01660490408539772,
0.035235024988651276,
-0.01851760968565941,
0.016670536249876022,
0.017880041152238846,
-0.0034292738419026136,
0.005606851074844599,
0.012366950511932373,
-0.027471695095300674,
0.027715470641851425,
-0.014898471534252167,
0.02610279805958271,
0.004144194070249796,
-0.006056899204850197,
0.023196235299110413,
-0.03380987420678139,
0.04087937995791435,
-0.006671027280390263,
-0.0292343832552433,
0.01983962580561638,
0.008358708582818508,
-0.043992213904857635,
0.050442907959222794,
-0.01085741352289915,
0.019145801663398743,
0.027227917686104774,
-0.029703183099627495,
-0.013042022474110126,
0.04477979987859726,
-0.04054184630513191,
0.013004519045352936,
0.007172643672674894,
0.015479784458875656,
-0.003837130032479763,
0.012432582676410675,
0.012676358222961426,
0.037879060953855515,
-0.044892311096191406,
-0.023515019565820694,
-0.0047841062769293785,
0.012648230418562889,
0.018733257427811623,
-0.010510501451790333,
0.013454566709697247,
-0.04669250547885895,
-0.0030096976552158594,
-0.008663428947329521,
0.013735847547650337,
-0.015320392325520515,
0.021996106952428818,
0.015742313116788864,
-0.010594885796308517,
0.03339732810854912,
0.006581955589354038,
0.006272547412663698,
0.012816999107599258,
0.022821195423603058,
0.04684251919388771,
0.02685287781059742,
-0.00004178914605290629,
-0.04541736841201782,
0.029121872037649155,
0.006211603060364723,
-0.03230971470475197,
-0.005002098623663187,
0.016042344272136688,
-0.02981569617986679,
0.03892917186021805,
0.0061834752559661865,
-0.013229543343186378,
-0.002451825188472867,
-0.04095438867807388,
-0.0017861289670690894,
0.003848850028589368,
0.00563966715708375,
0.011870021931827068,
-0.011926278471946716,
0.017373736947774887,
0.008489971980452538,
-0.04087937995791435,
0.03427867218852043,
0.019445834681391716,
-0.03174715116620064,
-0.03313479945063591,
-0.01152310986071825,
-0.029515663161873817,
-0.0062491074204444885,
0.031259600073099136,
-0.057456158101558685,
-0.004099658224731684,
0.008180564269423485,
0.0011813766323029995,
0.004085594322532415,
0.022033611312508583,
0.01810506545007229,
0.05640604719519615,
-0.03262849524617195,
0.017308104783296585,
-0.011870021931827068,
0.019933385774493217,
0.014682823792099953,
-0.013820230960845947,
-0.00425201840698719,
0.003837130032479763,
0.006366307381540537,
-0.021583562716841698,
0.01717684045433998,
0.026309069246053696,
-0.07725828140974045,
-0.02544647641479969,
-0.01618298515677452,
-0.03296603262424469,
-0.00013316856347955763,
-0.046955034136772156,
0.013745223172008991,
0.0060850270092487335,
0.0565185584127903,
-0.017964424565434456,
-0.025727758184075356,
0.01933332160115242,
0.03823534771800041,
0.042004503309726715,
0.007477364037185907,
-0.015292263589799404,
0.0059725153259932995,
0.010801157914102077,
0.03529128059744835,
0.00946038868278265,
0.03253473713994026,
-0.07920848578214645,
-0.004941154737025499,
-0.028071759268641472,
-0.04376719146966934,
-0.0337161123752594,
-0.010754277929663658,
0.015892328694462776,
-0.03124084882438183,
-0.0018330089515075088,
-0.01045424584299326,
-0.025971533730626106,
0.02411508373916149,
-0.004078561905771494,
0.030922064557671547,
-0.027452941983938217,
0.010463621467351913,
-0.02072097174823284,
0.003778530051931739,
-0.0008936504600569606,
0.03782280534505844,
-0.014795335941016674,
-0.034147411584854126,
-0.04451727122068405,
-0.00507710687816143,
-0.027152910828590393,
0.005034914705902338,
0.04958031326532364,
-0.019595850259065628,
0.012423206120729446,
0.022446155548095703,
0.04796764254570007,
-0.050930459052324295,
-0.033416081219911575,
0.005208370741456747,
0.04774261638522148,
-0.00888376496732235,
-0.03405364975333214,
0.008204004727303982,
-0.0021096011623740196,
0.02495892532169819,
-0.001341940718702972,
0.006206915248185396,
-0.005756867118179798,
0.03742901235818863,
-0.010322981514036655,
-0.022764939814805984,
0.035647571086883545,
0.03493499383330345,
-0.03892917186021805,
0.024171341210603714,
-0.03660392388701439,
-0.01383898314088583,
-0.053255707025527954,
0.04823016747832298,
-0.026084044948220253,
-0.016558025032281876,
-0.02775297500193119,
-0.020195914432406425,
0.018283208832144737,
-0.048605211079120636,
0.014448423869907856,
0.022689931094646454,
0.018273834139108658,
-0.007702387869358063,
-0.01234819833189249,
-0.0021646851673722267,
-0.003675393993034959,
0.04417973384261131,
0.02685287781059742,
0.024752652272582054,
0.015517287887632847,
0.03187841549515724,
-0.015920456498861313,
-0.045304857194423676,
0.039379220455884933,
-0.051830556243658066,
-0.04207950830459595,
0.011194949969649315,
-0.0006739003583788872,
0.010594885796308517,
-0.03975426033139229,
0.031615886837244034,
0.042754583060741425,
-0.006694467272609472,
-0.0056021627970039845,
-0.028465550392866135,
-0.040691860020160675,
0.007458611857146025,
-0.00983542948961258,
0.015582920052111149,
-0.009854180738329887,
-0.023271244019269943,
-0.08205879479646683,
0.017626889050006866,
0.06435690075159073,
-0.009732292965054512,
0.022239884361624718,
-0.025465229526162148,
-0.01033235713839531,
-0.01587357558310032,
-0.008654052391648293,
-0.04946780204772949,
-0.005428706761449575,
-0.06090652942657471,
-0.010782405734062195,
-0.02107725851237774,
-0.06116905435919762,
-0.0085509167984128,
0.00396605022251606,
-0.001091132522560656,
0.014495303854346275,
-0.019520841538906097,
-0.004969282541424036,
-0.05468086153268814,
0.04207950830459595,
0.013801478780806065,
-0.0037879059091210365,
0.01950209029018879,
-0.002864369424059987,
-0.03199093043804169,
-0.022689931094646454,
0.009779172949492931,
0.014064007438719273,
0.00429889839142561,
0.00584593927487731,
-0.015273512341082096,
0.026965390890836716,
0.01383898314088583,
0.002041625091806054,
-0.021508555859327316,
-0.013754598796367645,
0.02942190319299698,
-0.020177163183689117,
0.05888131260871887,
-0.0013466286472976208,
-0.04549237713217735,
0.026871630921959877,
-0.021621067076921463,
0.030209487304091454,
0.030434511601924896,
0.02559649385511875,
0.0502178817987442,
-0.020852234214544296,
-0.02561524510383606,
0.03546005114912987,
-0.01634237729012966,
-0.0038840100169181824,
0.0013513166923075914,
-0.03105332888662815,
-0.04260456562042236,
0.00859779678285122,
0.046392470598220825,
-0.0189207773655653,
-0.041516948491334915,
-0.02908436767756939,
0.03219719976186752,
-0.028371790423989296,
0.02090849168598652,
-0.03831035643815994
] |
Eco-driving strategies have been shown to provide significant reductions in
fuel consumption. This paper outlines an active driver assistance approach that
uses a residual policy learning (RPL) agent trained to provide residual actions
to default power train controllers while balancing fuel consumption against
other driver-accommodation objectives. Using previous experiences, our RPL
agent learns improved traction torque and gear shifting residual policies to
adapt the operation of the powertrain to variations and uncertainties in the
environment. For comparison, we consider a traditional reinforcement learning
(RL) agent trained from scratch. Both agents employ the off-policy Maximum A
Posteriori Policy Optimization algorithm with an actor-critic architecture. By
implementing on a simulated commercial vehicle in various car-following
scenarios, we find that the RPL agent quickly learns significantly improved
policies compared to a baseline source policy but in some measures not as good
as those eventually possible with the RL agent trained from scratch. | [
-0.033417586237192154,
-0.008138997480273247,
-0.028617270290851593,
-0.06297850608825684,
-0.049931492656469345,
0.0757383182644844,
-0.024165693670511246,
0.029068581759929657,
-0.0876365378499031,
0.010882767848670483,
0.017129333689808846,
-0.017939643934369087,
0.028658298775553703,
-0.05058794841170311,
-0.019755147397518158,
0.045459404587745667,
0.006051680538803339,
0.026135055348277092,
0.017129333689808846,
-0.06014754995703697,
0.01572411321103573,
-0.025642715394496918,
-0.00849799532443285,
0.038176871836185455,
-0.016216453164815903,
0.02590939961373806,
0.007395358756184578,
0.014216320589184761,
-0.0562908872961998,
0.0515315979719162,
0.03737682104110718,
0.051326457411050797,
-0.006087580230087042,
0.0009353180066682398,
-0.041869424283504486,
-0.008739037439227104,
0.04002314805984497,
-0.047428764402866364,
0.00848773866891861,
0.05436255410313606,
-0.007964626885950565,
0.053500961512327194,
-0.07856927812099457,
-0.03844355791807175,
0.022093763574957848,
-0.004974686540663242,
-0.03912052512168884,
0.018114013597369194,
-0.009975016117095947,
-0.025478601455688477,
-0.005318298935890198,
-0.06002446636557579,
0.036022886633872986,
-0.05169571191072464,
-0.034607406705617905,
0.040659088641405106,
0.018473012372851372,
0.06092708930373192,
-0.01403169333934784,
-0.000546189839951694,
-0.01834992691874504,
0.0035745943896472454,
-0.05748070776462555,
-0.012205932289361954,
-0.023263070732355118,
-0.02223736234009266,
0.0662197470664978,
-0.00992885883897543,
-0.010257085785269737,
-0.01806272752583027,
-0.06150148808956146,
0.02233993262052536,
0.002982247620820999,
0.002684792270883918,
-0.0023283585906028748,
-0.0020668026991188526,
-0.035858772695064545,
0.04332593083381653,
0.021642450243234634,
0.021437309682369232,
0.02683253586292267,
0.05095720291137695,
-0.032473932951688766,
-0.0068825045600533485,
0.011241765692830086,
-0.0193756353110075,
0.038033273071050644,
-0.06937892735004425,
0.04919298365712166,
-0.0052772704511880875,
-0.029786577448248863,
0.022114276885986328,
-0.04357210174202919,
0.026463281363248825,
-0.007482544053345919,
0.03647419810295105,
0.0008256954024545848,
-0.0030309688299894333,
-0.04250536486506462,
0.012287989258766174,
-0.019662832841277122,
-0.0023681046441197395,
0.01639082282781601,
0.029971204698085785,
0.09526780992746353,
-0.02463752031326294,
-0.07286633551120758,
0.01891406625509262,
-0.004846473224461079,
0.13900402188301086,
-0.016626736149191856,
-0.01877046748995781,
0.004469525068998337,
0.03325347229838371,
-0.003418173873797059,
-0.017867842689156532,
-0.008195411413908005,
-0.0777076855301857,
0.0751229003071785,
-0.009046750143170357,
0.018493525683879852,
0.06884556263685226,
0.04570557549595833,
-0.013898351229727268,
0.008877507410943508,
0.014944573864340782,
0.054526668041944504,
0.011067396029829979,
0.06199382618069649,
0.0029078838415443897,
-0.020206458866596222,
0.01177513413131237,
-0.019693605601787567,
0.0052362424321472645,
0.03747939318418503,
0.02106805518269539,
0.03296627476811409,
-0.044146496802568436,
-0.014616346918046474,
0.006046552211046219,
-0.02068854123353958,
-0.058178190141916275,
-0.007795385085046291,
0.04158222675323486,
-0.021703993901610374,
0.004490039311349392,
-0.026217112317681313,
0.05071103200316429,
-0.04607482999563217,
0.02125268243253231,
-0.029089095070958138,
0.032289307564496994,
-0.035756200551986694,
0.031366169452667236,
0.0009519857703708112,
0.040659088641405106,
-0.05428049713373184,
0.008067198097705841,
-0.01519074384123087,
-0.025622200220823288,
0.024924717843532562,
0.004728516563773155,
-0.03167388215661049,
0.045254264026880264,
0.05050589144229889,
0.010036558844149113,
0.004018213599920273,
0.029130123555660248,
-0.10724809020757675,
0.04435163736343384,
-0.010005787014961243,
-0.020873170346021652,
0.025027289986610413,
0.029068581759929657,
0.02603248320519924,
-0.013867580331861973,
0.05387021601200104,
-0.01834992691874504,
0.025293974205851555,
-0.004464396741241217,
-0.012708528898656368,
-0.012677758000791073,
-0.006323493551462889,
0.038033273071050644,
0.061624571681022644,
0.020944969728589058,
0.037130650132894516,
0.017775529995560646,
-0.03653573989868164,
-0.0584653876721859,
-0.040659088641405106,
0.04340798780322075,
0.03996160626411438,
0.017878100275993347,
-0.0029668621718883514,
0.046485114842653275,
-0.025211917236447334,
0.0014629168435931206,
0.008159511722624302,
0.019026894122362137,
0.013867580331861973,
-0.048659615218639374,
-0.034525349736213684,
0.021642450243234634,
0.03493563458323479,
-0.0006452348316088319,
0.07815899699926376,
0.047428764402866364,
0.028555726632475853,
-0.07569729536771774,
-0.016042081639170647,
-0.05169571191072464,
-0.05202393978834152,
0.02701716497540474,
-0.000045035016228212044,
0.011354594491422176,
0.04451575130224228,
0.018483268097043037,
0.002979683456942439,
-0.00797488447278738,
-0.010626341216266155,
0.0017924257554113865,
0.00019392302783671767,
-0.03499717637896538,
-0.03179696574807167,
-0.011149452067911625,
-0.015488199889659882,
0.014483004808425903,
-0.0112520232796669,
-0.040720630437135696,
0.004497732035815716,
-0.00645683566108346,
0.02588888444006443,
-0.002987376181408763,
0.004031034652143717,
0.025417057797312737,
-0.016801105812191963,
0.0232835840433836,
0.016165167093276978,
-0.05284450575709343,
0.014472748152911663,
-0.04193096607923508,
-0.02096548303961754,
0.027858244255185127,
0.04008468985557556,
-0.017354989424347878,
-0.04779801890254021,
0.07623066008090973,
0.05990138277411461,
-0.008744165301322937,
-0.07093800604343414,
-0.06449655443429947,
0.006728648208081722,
0.01167256385087967,
-0.02599145472049713,
0.037007566541433334,
0.05981932580471039,
-0.06355290114879608,
-0.035940829664468765,
-0.032186735421419144,
0.032330334186553955,
-0.0024976003915071487,
0.005328556057065725,
0.06244513764977455,
-0.021991191431879997,
0.026360711082816124,
0.03034045919775963,
0.03159182518720627,
0.050916172564029694,
-0.01227773167192936,
0.001371885184198618,
-0.07483569532632828,
-0.021539879962801933,
-0.0070517463609576225,
-0.038033273071050644,
-0.07910264283418655,
-0.024186208844184875,
-0.09264200180768967,
0.033622726798057556,
0.008277468383312225,
-0.000982115976512432,
-0.026812022551894188,
0.05428049713373184,
0.02102702669799328,
-0.041889939457178116,
-0.043120790272951126,
-0.02586837112903595,
-0.0014526598388329148,
-0.026442768052220345,
0.026360711082816124,
-0.040474459528923035,
-0.02104754000902176,
0.01806272752583027,
-0.02229890413582325,
0.053541988134384155,
0.009472418576478958,
-0.015118944458663464,
-0.004595174454152584,
0.009954501874744892,
0.013980408199131489,
-0.036802422255277634,
0.04812624678015709,
0.04964429512619972,
-0.0008596720290370286,
-0.000506764161400497,
-0.011036624200642109,
-0.031181540340185165,
0.010400685481727123,
-0.05895772948861122,
0.015539485029876232,
0.029786577448248863,
0.029109610244631767,
-0.03142771124839783,
-0.06544020771980286,
-0.007144060451537371,
0.0339919812977314,
0.03920258209109306,
-0.010139129124581814,
-0.04435163736343384,
0.002593760611489415,
-0.004561839159578085,
0.0013911172281950712,
-0.05263936519622803,
0.03741784766316414,
0.03368426859378815,
-0.016872907057404518,
-0.0028360842261463404,
-0.005620882846415043,
-0.03054560162127018,
-0.004772108979523182,
-0.05071103200316429,
-0.01632928103208542,
-0.059573154896497726,
0.015118944458663464,
-0.0225040465593338,
-0.013354726135730743,
-0.05501900985836983,
0.04193096607923508,
-0.0448029525578022,
-0.015549741685390472,
-0.01171359233558178,
-0.03614597022533417,
-0.00203346717171371,
-0.005238806363195181,
0.005425998475402594,
-0.08074378222227097,
0.008231311105191708,
0.030894342809915543,
-0.04213611036539078,
-0.001506509492173791,
0.0012103361077606678,
-0.0028360842261463404,
0.03967440873384476,
0.01296495646238327,
0.021991191431879997,
0.007046618033200502,
-0.024432377889752388,
-0.0106058269739151,
-0.003743836423382163,
0.005713196936994791,
0.05961418151855469,
-0.04117194190621376,
-0.06552226096391678,
-0.0016013875138014555,
-0.0040900129824876785,
0.06277336180210114,
0.00036829349119216204,
-0.002261687535792589,
0.045295290648937225,
0.052352167665958405,
0.014524033293128014,
0.03532540425658226,
0.07278428226709366,
-0.030114803463220596,
-0.003125846851617098,
-0.003982313442975283,
0.04603379964828491,
-0.0016283123986795545,
-0.014359920285642147,
0.049849435687065125,
0.027345390990376472,
0.010067329742014408,
-0.02367335371673107,
0.02129371091723442,
-0.0024475972168147564,
0.08094891905784607,
-0.01899612322449684,
-0.03165336698293686,
0.03335604444146156,
-0.006754291243851185,
0.0389564111828804,
-0.022770730778574944,
-0.007282530888915062,
-0.027324875816702843,
0.0039489781484007835,
0.023016899824142456,
0.013406011275947094,
0.02471957728266716,
0.004305411595851183,
-0.03292524442076683,
-0.03639214113354683,
0.046279970556497574,
-0.05292656272649765,
0.01361115276813507,
-0.04205405339598656,
0.0163497943431139,
-0.02718127705156803,
0.005084950476884842,
0.01798067055642605,
0.037089623510837555,
-0.031243083998560905,
-0.03881281241774559,
-0.02586837112903595,
-0.052147023379802704,
0.02826852910220623,
0.002378361765295267,
-0.010205800645053387,
-0.0003689345612656325,
-0.0009616017923690379,
-0.012380302883684635,
-0.026340195909142494,
0.054854895919561386,
0.015539485029876232,
-0.007072260603308678,
0.009574989788234234,
0.020555200055241585,
0.06905069947242737,
0.014739432372152805,
-0.020616741850972176,
0.015180487185716629,
0.021827079355716705,
-0.03727424889802933,
0.0006051680538803339,
-0.024883689358830452,
-0.013180355541408062,
-0.03772556036710739,
0.0029437835328280926,
0.02590939961373806,
-0.009241634048521519,
0.026155568659305573,
0.010118614882230759,
-0.0651940405368805,
-0.03388941287994385,
0.006887633353471756,
0.03752041980624199,
-0.03749990463256836,
0.031284112483263016,
-0.027365904301404953,
-0.008933921344578266,
0.009651917964220047,
-0.0727432519197464,
0.029868634417653084,
-0.019796175882220268,
-0.017960157245397568,
0.0005263166967779398,
0.0021796307992190123,
-0.017693473026156425,
-0.061788685619831085,
0.00004980295852874406,
-0.005015715025365353,
0.03641265630722046,
0.03622802719473839,
0.015303571708500385,
-0.022893816232681274,
0.010923796333372593,
0.02236044779419899,
-0.040679603815078735,
-0.031284112483263016,
-0.015467685647308826,
-0.016770334914326668,
-0.0044284965842962265,
-0.05674219876527786,
-0.011826420202851295,
0.004531067796051502,
-0.007031232118606567,
0.04451575130224228,
0.024042610079050064,
-0.052147023379802704,
0.02233993262052536,
-0.013426525518298149,
0.020370572805404663,
0.01121099479496479,
0.05604471638798714,
-0.06359393149614334,
0.026319682598114014,
-0.0017719116294756532,
0.08624158054590225,
-0.003910514060407877,
-0.0445978082716465,
0.008236439898610115,
-0.019806433469057083,
-0.00678506214171648,
-0.044146496802568436,
0.03635111078619957,
-0.027612075209617615,
-0.0320226214826107,
0.032432906329631805,
-0.014011179096996784,
0.033520158380270004,
0.00470287399366498,
0.018616611137986183,
0.0043156687170267105,
0.026688937097787857,
-0.02010388858616352,
-0.029068581759929657,
0.010298114269971848,
0.03163285180926323,
-0.04213611036539078,
-0.03298678621649742,
-0.033643241971731186,
0.022770730778574944,
0.044023413211107254,
-0.020473143085837364,
-0.019303835928440094,
-0.007774870842695236,
0.0017488331068307161,
0.027919787913560867,
0.0020103887654840946,
0.03969492390751839,
0.057070426642894745,
-0.011703334748744965,
0.035899799317121506,
0.004402854014188051,
0.033499643206596375,
-0.0320226214826107,
0.03633059933781624,
0.035776715725660324,
-0.019642319530248642,
0.07828208059072495,
0.005487540736794472,
-0.04316181689500809,
0.03772556036710739,
-0.04906990006566048,
-0.04484397917985916,
-0.015836941078305244,
-0.02000131830573082,
0.02812492847442627,
0.06851733475923538,
-0.01960129104554653,
0.021765535697340965,
0.0029771190602332354,
0.02236044779419899,
0.03042251616716385,
0.004895194433629513,
-0.0014180421130731702,
0.0066414629109203815,
0.03889486938714981,
-0.009826288558542728,
0.01107765268534422,
0.0024334935005754232,
-0.036946024745702744,
0.016565194353461266,
0.03540746122598648,
0.054690781980752945,
-0.01751910336315632,
-0.010831482708454132,
-0.015621541999280453,
-0.007272273767739534,
-0.028514698147773743,
-0.03784864768385887,
-0.021929649636149406,
-0.012093104422092438,
-0.00128662318456918,
-0.0008622362511232495,
0.010349399410188198,
0.018883295357227325,
0.019765404984354973,
0.02937629446387291,
-0.019632061943411827,
-0.0043156687170267105,
-0.015467685647308826,
-0.008323624730110168,
-0.04816727340221405,
-0.032494448125362396,
-0.010231442749500275,
0.03850509971380234,
-0.014688147231936455,
-0.0039771851152181625,
-0.06310158967971802,
-0.002325794193893671,
-0.01697547733783722,
-0.023981066420674324,
0.002347590634599328,
0.03682293742895126,
-0.008518509566783905,
0.005041357595473528,
-0.044105470180511475,
-0.008046683855354786,
0.07582037895917892,
-0.03780761733651161,
-0.03649471327662468,
0.006313236430287361,
-0.0022924586664885283,
0.01643185131251812,
-0.03885384276509285,
0.004756723530590534,
0.04952121153473854,
0.001832171925343573,
0.01594976894557476,
-0.0374588780105114,
0.0018283255631104112,
0.07487672567367554,
0.01931409351527691,
0.010436585173010826,
-0.011549478396773338,
-0.007436387240886688,
0.06347084790468216,
-0.014277863316237926,
0.01603182591497898,
0.00859030894935131,
0.03040200285613537,
0.031284112483263016,
0.027612075209617615,
-0.012093104422092438,
0.035756200551986694,
0.02342718467116356,
0.034689463675022125,
0.024924717843532562,
0.03495614975690842,
-0.028596755117177963,
0.04467986524105072,
-0.014780460856854916,
0.03992057964205742,
0.02720179222524166,
-0.025663228705525398,
0.04578763246536255,
-0.0009186502429656684,
-0.03272010385990143,
-0.009872444905340672,
0.016113881021738052,
0.009831416420638561,
-0.024022094905376434,
0.01697547733783722,
-0.036002371460199356,
0.004987508058547974,
-0.0046977452002465725,
-0.027817217633128166,
0.03620751202106476,
0.02833007089793682,
0.0163497943431139,
-0.027673617005348206,
-0.013847066089510918,
-0.0053490702994167805,
0.040392402559518814,
-0.006513249594718218,
-0.02927372232079506,
0.010626341216266155,
-0.02691459283232689,
0.029827605932950974,
-0.008185154758393764,
-0.00422335509210825,
-0.017375502735376358,
0.021662965416908264,
0.03532540425658226,
-0.00338996690697968,
-0.02960195019841194,
0.026791507378220558,
0.011518707498908043,
0.005610625725239515,
0.012575186789035797,
0.0017167797777801752,
0.00964678917080164,
0.0471825934946537,
-0.019170492887496948,
0.03795121610164642,
0.05563443526625633,
0.04906990006566048,
0.012862385250627995,
0.026442768052220345,
0.05304964631795883,
-0.044187527149915695,
0.0146676329895854,
-0.024063123390078545,
0.008185154758393764,
0.027488989755511284,
-0.013539353385567665,
0.012636729516088963,
0.026709452271461487,
-0.030853314325213432,
0.011549478396773338,
-0.0473877377808094,
0.0023116907104849815,
0.007503058295696974,
-0.000819925800897181,
-0.03643316775560379,
-0.027386419475078583,
0.0006311312899924815,
-0.003146361093968153,
-0.0876365378499031,
0.012493130750954151,
-0.060557834804058075,
-0.027919787913560867,
-0.003315602894872427,
-0.015457428060472012,
0.015436913818120956,
0.008585181087255478,
-0.03557157516479492,
0.010667369700968266,
0.012339274398982525,
-0.03048405982553959,
-0.01416503544896841,
-0.03844355791807175,
0.0035412588622421026,
-0.02465803362429142,
0.03563311696052551,
-0.029725035652518272,
-0.007769742514938116,
-0.025519629940390587,
0.007605629041790962,
-0.010985339060425758,
0.0016013875138014555,
0.044228553771972656,
-0.002687356434762478,
0.03179696574807167,
0.04812624678015709,
0.02110908180475235,
0.003148925257846713,
-0.026504309847950935,
-0.026299167424440384,
0.017067790031433105,
-0.004990072455257177,
0.014985602349042892,
0.008154382929205894,
-0.028535213321447372,
-0.054526668041944504,
0.0023911830503493547,
0.0046131242997944355,
-0.03220725059509277,
-0.02960195019841194,
-0.0018449933268129826,
0.012759814970195293,
-0.02927372232079506,
-0.024104151874780655,
0.018360184505581856,
0.03075074404478073,
0.0378691591322422,
-0.00494391517713666,
0.030812285840511322,
-0.012052075937390327,
-0.0007827438530512154,
0.0329047329723835,
0.01578565500676632,
0.03425866737961769,
0.006892761681228876,
-0.02244250290095806,
0.033725298941135406,
0.016647249460220337,
0.01941666379570961,
0.008005655370652676,
0.00022773936507292092,
0.032309819012880325,
-0.01005194429308176,
0.04431061074137688,
-0.003697679378092289,
-0.023098956793546677,
-0.00042054051300510764,
0.010262214578688145,
-0.04931606724858284,
0.04496706277132034,
-0.039448752999305725,
0.011426393873989582,
0.029807090759277344,
-0.013539353385567665,
-0.035981856286525726,
0.04324387386441231,
-0.03649471327662468,
-0.0033438100945204496,
-0.01002117246389389,
0.03395095467567444,
-0.016801105812191963,
0.008113354444503784,
0.03788967430591583,
0.029950691387057304,
-0.054649751633405685,
-0.0030207117088139057,
-0.009236506186425686,
0.006374778691679239,
0.027878759428858757,
-0.01594976894557476,
0.009857059456408024,
-0.049972523003816605,
-0.01716010458767414,
-0.014062464237213135,
-0.0029719907324761152,
0.00825695414096117,
0.028001844882965088,
0.0067696766927838326,
-0.007903085090219975,
0.030976399779319763,
-0.0009148038225248456,
0.029027553275227547,
0.014493262395262718,
0.015180487185716629,
0.05030074715614319,
0.03409455344080925,
0.00530291348695755,
-0.03684345260262489,
0.013857322745025158,
-0.0199192613363266,
-0.026586366817355156,
-0.005651654209941626,
0.006867119111120701,
-0.055716488510370255,
0.04673128202557564,
0.016154909506440163,
-0.0007032514549791813,
-0.0028309556655585766,
-0.03194056451320648,
-0.031263597309589386,
0.007564601022750139,
-0.0024245185777544975,
0.007821028120815754,
-0.028514698147773743,
0.006097837351262569,
0.008400552906095982,
-0.02820698544383049,
0.049890466034412384,
0.03674088045954704,
-0.025499114766716957,
-0.009580118581652641,
-0.005246499553322792,
-0.029827605932950974,
0.0016462622443214059,
0.0037899932358413935,
-0.02342718467116356,
-0.014831745997071266,
-0.009785260073840618,
0.003338681533932686,
0.01647287979722023,
0.038217902183532715,
0.02584785595536232,
0.07159446179866791,
-0.024350320920348167,
0.011836676858365536,
-0.02921218052506447,
0.013026499189436436,
-0.014288120903074741,
-0.011026367545127869,
-0.006256822496652603,
0.011405879631638527,
-0.009477547369897366,
-0.05185982584953308,
0.019591033458709717,
0.015611284412443638,
-0.06014754995703697,
0.005028536543250084,
0.004482346586883068,
-0.009990401566028595,
0.0017437045462429523,
-0.03557157516479492,
0.02225787565112114,
-0.007708199787884951,
0.014544547535479069,
-0.025540143251419067,
-0.0106058269739151,
0.01768321543931961,
0.016729306429624557,
0.03903846815228462,
-0.03165336698293686,
-0.018503783270716667,
0.014000922441482544,
0.008154382929205894,
0.02939680777490139,
-0.008739037439227104,
0.013867580331861973,
-0.04710053652524948,
-0.013970150612294674,
-0.033499643206596375,
-0.03434072434902191,
-0.03990006446838379,
0.01121099479496479,
0.02711973525583744,
-0.031017428264021873,
0.013631667010486126,
0.002578374929726124,
-0.017426788806915283,
-0.004474653862416744,
-0.016062596812844276,
0.005933724343776703,
-0.03776659071445465,
-0.018524296581745148,
-0.038361500948667526,
0.011487936601042747,
0.00263094250112772,
0.025376031175255775,
-0.01415477879345417,
-0.02342718467116356,
-0.023714382201433182,
0.0051234145648777485,
-0.04369518533349037,
0.0047823661006987095,
0.0426284484565258,
-0.026155568659305573,
0.0025809393264353275,
0.03809481859207153,
0.028863439336419106,
-0.044187527149915695,
-0.03979749232530594,
-0.013908608816564083,
0.03887435421347618,
-0.020760342478752136,
-0.0007372280233539641,
-0.002871984150260687,
-0.005969624035060406,
0.011334080249071121,
0.005205471068620682,
-0.014749689027667046,
0.002902755280956626,
0.02373489737510681,
-0.011887962929904461,
-0.007149188779294491,
0.035879287868738174,
0.041807882487773895,
-0.03641265630722046,
0.046608198434114456,
-0.010964824818074703,
-0.00933394767343998,
-0.03758196160197258,
0.04615688696503639,
-0.03390992432832718,
0.01115970965474844,
-0.016985734924674034,
0.0017090869368985295,
0.00038175590452738106,
-0.04566454514861107,
0.03788967430591583,
0.050013549625873566,
0.0064158071763813496,
0.01522151567041874,
0.0035156160593032837,
0.0073492019437253475,
0.010164772160351276,
0.016626736149191856,
0.0018449933268129826,
0.03628956899046898,
0.0188320092856884,
0.018052471801638603,
-0.013877836987376213,
-0.051039259880781174,
-0.005333684850484133,
-0.06983023881912231,
-0.038135845214128494,
-0.003425866598263383,
-0.01622670888900757,
0.008723651058971882,
-0.02246301807463169,
0.01798067055642605,
0.027632588520646095,
-0.005441383924335241,
0.011067396029829979,
-0.006903018802404404,
-0.05797304958105087,
0.01300598494708538,
-0.028391612693667412,
0.02601196989417076,
-0.015303571708500385,
-0.0282480139285326,
-0.0679839625954628,
0.017488330602645874,
0.09026235342025757,
0.003366888500750065,
0.03448432311415672,
-0.009492932818830013,
0.0029386552050709724,
-0.028596755117177963,
0.005333684850484133,
-0.049890466034412384,
0.004456704016774893,
-0.057234540581703186,
0.0035617731045931578,
-0.025027289986610413,
-0.04562351852655411,
0.019724376499652863,
0.021621936932206154,
0.010800711810588837,
0.028596755117177963,
-0.033458612859249115,
-0.018657639622688293,
-0.05776790902018547,
0.04800316318869591,
0.010185286402702332,
0.008533895015716553,
0.01592925377190113,
-0.01741653122007847,
-0.03429969400167465,
-0.03684345260262489,
-0.01420606393367052,
0.04357210174202919,
0.010205800645053387,
0.01941666379570961,
-0.030217375606298447,
0.019180750474333763,
0.015036887489259243,
-0.005800382234156132,
-0.02367335371673107,
-0.013231640681624413,
0.01355986762791872,
-0.005110593046993017,
0.0391615554690361,
0.005990138277411461,
-0.06088606268167496,
0.01112893782556057,
-0.030258404091000557,
0.03955132141709328,
0.023940037935972214,
0.0232835840433836,
0.04316181689500809,
-0.018011443316936493,
-0.05259833484888077,
0.02478111907839775,
-0.022729702293872833,
-0.011908476240932941,
0.0062311794608831406,
-0.03075074404478073,
-0.034730494022369385,
0.01576514169573784,
0.019426921382546425,
-0.02135525271296501,
-0.030155831947922707,
-0.025088831782341003,
0.009872444905340672,
-0.025663228705525398,
0.04084371402859688,
-0.019385892897844315
] |
In this paper, we consider the inventory management (IM) problem where we
need to make replenishment decisions for a large number of stock keeping units
(SKUs) to balance their supply and demand. In our setting, the constraint on
the shared resources (such as the inventory capacity) couples the otherwise
independent control for each SKU. We formulate the problem with this structure
as Shared-Resource Stochastic Game (SRSG)and propose an efficient algorithm
called Context-aware Decentralized PPO (CD-PPO). Through extensive experiments,
we demonstrate that CD-PPO can accelerate the learning procedure compared with
standard MARL algorithms. | [
-0.018814411014318466,
-0.02688341587781906,
-0.03364904224872589,
-0.0166951771825552,
0.012317419983446598,
-0.04457353800535202,
-0.04815534129738808,
0.028614619746804237,
-0.037688519805669785,
0.06268154084682465,
0.004522025119513273,
0.01057626586407423,
0.02980855479836464,
-0.05583631619811058,
-0.015242557972669601,
0.040991734713315964,
0.016784723848104477,
0.035559337586164474,
0.009337559342384338,
-0.04011618345975876,
0.010546417906880379,
0.030365722253918648,
0.0021577870938926935,
0.07414330542087555,
-0.0041638449765741825,
-0.006954665761440992,
-0.04735938459634781,
-0.002195097506046295,
-0.10172317922115326,
0.0478767566382885,
0.061447806656360626,
0.03273369371891022,
-0.02767937071621418,
-0.03126117214560509,
0.0013543689856305718,
0.04115092754364014,
0.004168819636106491,
0.045727673918008804,
0.011740352027118206,
0.007407365832477808,
-0.05603530630469322,
0.037827812135219574,
-0.07708834111690521,
-0.0015396774979308248,
0.024117467924952507,
-0.011232929304242134,
-0.03633539378643036,
-0.014944074675440788,
-0.0676562637090683,
0.009282837621867657,
0.04528990015387535,
-0.04154890403151512,
0.0045593357644975185,
-0.030584610998630524,
-0.03396742418408394,
-0.03245510905981064,
0.03287298604846001,
0.03828548640012741,
0.0013792426325380802,
0.006163684651255608,
-0.0006834028754383326,
-0.006606435403227806,
-0.04065345600247383,
-0.019461125135421753,
-0.0021378882229328156,
-0.046483833342790604,
0.02119232900440693,
0.051936130970716476,
0.07704854756593704,
0.006919842679053545,
-0.06725828349590302,
0.0007648640312254429,
0.010755356401205063,
0.03852427378296852,
0.015889272093772888,
0.003260932397097349,
0.06057225540280342,
0.014536147005856037,
0.05905994027853012,
0.01637679524719715,
-0.021351521834731102,
0.0548015721142292,
-0.01622755452990532,
-0.008312765508890152,
0.048712510615587234,
-0.030982589349150658,
0.04314081743359566,
-0.08293861895799637,
0.048672713339328766,
0.021271925419569016,
-0.032335713505744934,
-0.017590628936886787,
0.000036785761039936915,
0.011620958335697651,
0.008526679128408432,
0.019809355959296227,
-0.031002487987279892,
-0.011033941060304642,
-0.007989408448338509,
-0.016734976321458817,
0.0030395572539418936,
0.00496975053101778,
-0.012048784643411636,
-0.024913424625992775,
-0.005387627519667149,
0.019898900762200356,
-0.044692933559417725,
-0.00034201235393993556,
-0.0254506953060627,
0.10825002193450928,
0.03221632167696953,
0.024535344913601875,
0.02014763653278351,
0.04115092754364014,
-0.07434229552745819,
-0.0047060903161764145,
-0.055438339710235596,
-0.08381417393684387,
0.04254385083913803,
-0.06602455675601959,
-0.002183904405683279,
0.001864278339780867,
-0.02795795537531376,
-0.05929872393608093,
-0.020416272804141045,
0.042941827327013016,
0.021311722695827484,
0.002019738545641303,
0.03374853730201721,
0.002681376878172159,
-0.028753912076354027,
-0.013421808369457722,
-0.10156399011611938,
-0.0037335313390940428,
-0.014735136181116104,
0.01835673674941063,
0.03269389644265175,
0.009695739485323429,
-0.052214715629816055,
0.0069795395247638226,
-0.015720132738351822,
-0.06383567303419113,
-0.020794352516531944,
-0.0040220655500888824,
0.010048945434391499,
0.00924801453948021,
-0.040573857724666595,
0.03543994203209877,
-0.06582556664943695,
0.050503410398960114,
-0.043976571410894394,
0.08166509121656418,
-0.010854850523173809,
0.0646316334605217,
-0.015172911807894707,
0.011839846149086952,
0.025589987635612488,
-0.02101323939859867,
0.011033941060304642,
-0.02379908598959446,
0.03737013787031174,
0.02582877315580845,
-0.013362112455070019,
0.0510207824409008,
0.001603105221875012,
-0.0024910937063395977,
0.023679692298173904,
-0.001799606834538281,
-0.048712510615587234,
0.019222337752580643,
-0.056990452110767365,
-0.02369959093630314,
0.017113054171204567,
0.011431918479502201,
0.03633539378643036,
0.0024351279716938734,
0.06717868894338608,
-0.04552868753671646,
0.018058253452181816,
0.03392762690782547,
-0.0022062906064093113,
0.053169865161180496,
-0.005268234293907881,
0.028714114800095558,
0.04282243549823761,
0.04477252811193466,
0.03908144310116768,
0.022028082981705666,
-0.006427344866096973,
-0.01579972729086876,
-0.008859985508024693,
0.034186311066150665,
0.05456278845667839,
0.01646634005010128,
0.009332584217190742,
-0.023261815309524536,
-0.0632387101650238,
-0.017779668793082237,
0.0014066036092117429,
0.011720452457666397,
-0.04907068982720375,
-0.013600898906588554,
0.017451336607336998,
0.02224697172641754,
0.023082725703716278,
0.026525234803557396,
0.03601701185107231,
-0.02654513344168663,
0.030982589349150658,
-0.05185653641819954,
-0.013242718763649464,
-0.013043729588389397,
-0.048951297998428345,
-0.026127256453037262,
-0.028375832363963127,
-0.012526358477771282,
0.008581400848925114,
0.03327096253633499,
-0.012357217259705067,
-0.016864318400621414,
-0.01107373833656311,
0.010123565793037415,
0.022107679396867752,
-0.025968065485358238,
0.039161037653684616,
-0.012466661632061005,
-0.03719104453921318,
0.004872743505984545,
-0.00842220988124609,
0.004143946338444948,
0.002992297289893031,
0.005536869168281555,
-0.022406162694096565,
-0.02795795537531376,
0.049707453697919846,
0.023958276957273483,
-0.029848352074623108,
0.03649458289146423,
-0.04692160710692406,
-0.04266324266791344,
0.00946690235286951,
-0.03543994203209877,
-0.005061782896518707,
-0.009188317693769932,
0.04751857742667198,
0.024614941328763962,
0.02304292842745781,
0.02564968355000019,
0.05866196006536484,
0.0115911103785038,
-0.04887169972062111,
-0.02754007838666439,
-0.04934927448630333,
0.020973442122340202,
-0.02630634792149067,
0.07028292119503021,
0.011790098622441292,
-0.0008830137667246163,
0.010297681204974651,
-0.03424600884318352,
0.042703043669462204,
-0.02248575910925865,
-0.02754007838666439,
0.018137848004698753,
0.014496349729597569,
-0.005041884258389473,
0.031818341463804245,
-0.01308352779597044,
0.009412180632352829,
0.016824521124362946,
-0.002783358795568347,
-0.07418310642242432,
-0.016217604279518127,
-0.018754715099930763,
-0.015322153456509113,
-0.0019015887519344687,
0.023580197244882584,
-0.017819466069340706,
0.006880044937133789,
0.0007673513609915972,
-0.01713295467197895,
0.04115092754364014,
0.010188237763941288,
-0.004422530997544527,
-0.09137575328350067,
-0.017341893166303635,
-0.017670223489403725,
0.006273128557950258,
-0.037171147763729095,
0.0403151735663414,
-0.0005730261909775436,
-0.008263018913567066,
0.04401636868715286,
-0.013650646433234215,
0.057706814259290695,
0.04974725469946861,
-0.012735296972095966,
0.02091374434530735,
0.025968065485358238,
0.006870095618069172,
0.0017871700692921877,
0.015779828652739525,
0.013013881631195545,
-0.00563138909637928,
-0.009859905578196049,
0.019431276246905327,
-0.03368883952498436,
0.009357457980513573,
-0.03140046447515488,
0.015620637685060501,
0.045687876641750336,
-0.015093316324055195,
-0.020187435671687126,
-0.0038653614465147257,
-0.04887169972062111,
0.03522105515003204,
0.06932777166366577,
0.007392441853880882,
-0.06733787804841995,
-0.006840247195214033,
0.04154890403151512,
0.021829094737768173,
-0.09065939486026764,
0.03348984941840172,
0.03157955780625343,
-0.0011752787977457047,
0.003333065891638398,
0.06502960622310638,
-0.03468378633260727,
0.03828548640012741,
-0.032196421176195145,
-0.004770761355757713,
-0.05615469813346863,
-0.026724224910140038,
0.01718270033597946,
0.01756078004837036,
-0.02620685286819935,
-0.003479820443317294,
0.004628981929272413,
-0.05551793426275253,
0.028316136449575424,
-0.05380662903189659,
0.002803257666528225,
-0.00837246235460043,
0.00535777909681201,
-0.01722249947488308,
-0.04704100266098976,
0.02019738405942917,
-0.03627569600939751,
0.02346080355346203,
0.001098170643672347,
-0.06498981267213821,
0.03492256999015808,
0.037031855434179306,
0.085167296230793,
-0.027719169855117798,
-0.021789297461509705,
0.02582877315580845,
0.008566477335989475,
-0.004967262968420982,
-0.011203081347048283,
-0.07943641394376755,
-0.0425836481153965,
-0.012854689732193947,
-0.00946690235286951,
0.10164358466863632,
0.003641498973593116,
-0.0030072215013206005,
0.05368723347783089,
0.010014122352004051,
-0.04134991765022278,
0.02616705559194088,
0.0319974347949028,
-0.053209662437438965,
-0.006870095618069172,
0.023739388212561607,
0.015610688365995884,
-0.00037590268766507506,
-0.08683880418539047,
0.01002904586493969,
0.03482307866215706,
0.03762882202863693,
-0.030505014583468437,
-0.02043617144227028,
0.042145874351263046,
0.019321832805871964,
0.033151570707559586,
-0.05229431390762329,
0.021550510078668594,
0.022306667640805244,
0.029131991788744926,
-0.009327610023319721,
-0.027002809569239616,
-0.000056781824241625145,
0.009098772890865803,
-0.02757987752556801,
0.02606756053864956,
-0.023639895021915436,
-0.009009227156639099,
-0.008710743859410286,
-0.029271284118294716,
0.020217282697558403,
-0.015172911807894707,
0.031818341463804245,
-0.03251480311155319,
-0.016715077683329582,
0.012128380127251148,
-0.009213191457092762,
0.0007045454694889486,
0.046165451407432556,
-0.0043230364099144936,
0.00045612012036144733,
-0.025371098890900612,
-0.0035867770202457905,
0.03979780152440071,
0.036355290561914444,
-0.06081104278564453,
0.019849153235554695,
0.02256535366177559,
-0.029271284118294716,
-0.0020172512158751488,
-0.01433715783059597,
0.0752178430557251,
0.0616069994866848,
-0.024017972871661186,
0.014347108080983162,
0.02087394706904888,
0.01661558263003826,
0.012506458908319473,
0.010357378050684929,
0.05082179233431816,
0.025589987635612488,
-0.041190724819898605,
-0.05981609597802162,
0.013789938762784004,
0.04326020926237106,
-0.025729279965162277,
0.03681296855211258,
0.019341731444001198,
-0.016406644135713577,
0.02139131911098957,
-0.03573842719197273,
-0.01901339925825596,
-0.007477011997252703,
0.04457353800535202,
-0.06355708837509155,
-0.019799405708909035,
-0.04083254560828209,
-0.00908384844660759,
0.009830057621002197,
-0.07947620749473572,
-0.005089143756777048,
-0.08508770167827606,
0.0004517672350630164,
0.003442509798333049,
0.01325266808271408,
-0.001613054657354951,
-0.027838563546538353,
0.03241531178355217,
0.00140784727409482,
0.0045046135783195496,
0.005651287734508514,
0.01176025066524744,
-0.03157955780625343,
-0.0175110325217247,
0.015441547147929668,
-0.06411425769329071,
0.004188718739897013,
0.00444740429520607,
-0.03619610145688057,
-0.06256214529275894,
-0.017640376463532448,
0.03134077042341232,
0.01433715783059597,
-0.008725668303668499,
0.008790339343249798,
0.031121881678700447,
-0.09583310782909393,
-0.01320292055606842,
0.013242718763649464,
0.013929231092333794,
0.0009613656438887119,
-0.04337960481643677,
0.024435849860310555,
-0.01646634005010128,
0.027500281110405922,
-0.008850036188960075,
0.013013881631195545,
0.016157908365130424,
0.04433475062251091,
0.048473723232746124,
-0.012436813674867153,
-0.029171789065003395,
0.010695659555494785,
0.013013881631195545,
-0.000957012758590281,
-0.03874316066503525,
-0.0501452311873436,
0.04716039448976517,
0.006496991030871868,
0.04532969743013382,
-0.004076787270605564,
0.04278263822197914,
-0.034425098448991776,
0.002763459924608469,
-0.04624504595994949,
0.06228356063365936,
0.022167375311255455,
-0.017103105783462524,
0.013789938762784004,
0.020754553377628326,
0.12369156628847122,
-0.02276434376835823,
0.007820268161594868,
0.015441547147929668,
0.01171050313860178,
0.030266229063272476,
0.02157040871679783,
0.05336885154247284,
0.02574917860329151,
-0.006218406837433577,
0.006253229454159737,
-0.04059375822544098,
0.018754715099930763,
-0.04731958732008934,
0.03912124037742615,
0.04226526618003845,
-0.029311081394553185,
0.12496510148048401,
-0.016058413311839104,
-0.028694216161966324,
0.05511995777487755,
-0.022406162694096565,
-0.050503410398960114,
-0.04465313255786896,
-0.039956994354724884,
0.05309026688337326,
0.006959640886634588,
0.012854689732193947,
-0.013192971237003803,
-0.006447243969887495,
0.052254512906074524,
-0.0074670626781880856,
0.03866356611251831,
-0.0036340367514640093,
-0.003957394044846296,
0.03687266260385513,
-0.0017088181339204311,
-0.006392521783709526,
0.020595362409949303,
0.01806820183992386,
-0.0005462870467454195,
-0.008009308017790318,
-0.012108481489121914,
-0.014944074675440788,
-0.04134991765022278,
0.013561100699007511,
-0.025530289858579636,
-0.061447806656360626,
-0.021072937175631523,
-0.005387627519667149,
0.03711144998669624,
-0.0028132072184234858,
0.0022610125597566366,
0.0015458959387615323,
0.004069325514137745,
0.004325523506850004,
0.04783695936203003,
0.013292466290295124,
0.03052491508424282,
0.012735296972095966,
-0.00510904286056757,
0.02644564025104046,
-0.03022642992436886,
-0.009262938052415848,
0.020038193091750145,
-0.03163925185799599,
0.026624729856848717,
-0.026803819462656975,
-0.013312364928424358,
-0.007516809739172459,
-0.027102302759885788,
0.018297038972377777,
0.002071973169222474,
0.026584932580590248,
0.04361839219927788,
0.004079274833202362,
0.008432159200310707,
0.002649041125550866,
-0.010894648730754852,
0.011999037116765976,
0.02620685286819935,
-0.002328171394765377,
0.0251323115080595,
-0.05157795175909996,
-0.017431437969207764,
-0.004367808811366558,
-0.03549963980913162,
0.025848671793937683,
-0.050662603229284286,
-0.005929872393608093,
0.006909893359988928,
0.010257883928716183,
0.005765706766396761,
-0.03587771952152252,
0.036932360380887985,
0.03713135048747063,
0.04915028437972069,
0.05579651892185211,
-0.003788253292441368,
0.018396534025669098,
0.028594721108675003,
0.0669001042842865,
-0.043180614709854126,
0.037409935146570206,
-0.01294423546642065,
0.0092281149700284,
0.04381737858057022,
0.0059149484150111675,
0.02867431566119194,
0.04692160710692406,
0.0045966459438204765,
0.040991734713315964,
-0.01220797561109066,
0.021132633090019226,
0.02606756053864956,
-0.02005809172987938,
-0.027122201398015022,
-0.00500208605080843,
-0.02668442577123642,
-0.00269132643006742,
-0.018336838111281395,
-0.016287250444293022,
-0.030743801966309547,
0.0024575144052505493,
-0.011203081347048283,
0.011541362851858139,
0.03476338088512421,
-0.01661558263003826,
0.002596806501969695,
-0.04262344539165497,
-0.008442108519375324,
0.009372382424771786,
0.032673995941877365,
0.006233330816030502,
-0.0010863556526601315,
-0.027758967131376266,
-0.03132086992263794,
0.050423815846443176,
-0.033887829631567,
-0.02970905974507332,
0.05866196006536484,
0.026982909068465233,
0.032634198665618896,
-0.010247933678328991,
-0.0068352725356817245,
-0.006561662536114454,
0.02833603508770466,
0.014058574102818966,
0.01308352779597044,
0.003539517056196928,
0.015332103706896305,
-0.02564968355000019,
-0.020953543484210968,
0.03070400469005108,
0.0395590141415596,
0.013352162204682827,
0.03965850919485092,
0.0001829766115406528,
0.04290203005075455,
-0.03028612770140171,
0.03223621845245361,
-0.019232288002967834,
-0.008123726584017277,
0.013242718763649464,
-0.0059547461569309235,
-0.02829623781144619,
0.016197705641388893,
-0.01741153933107853,
-0.011561261489987373,
-0.05667207017540932,
-0.008163523860275745,
-0.013949129730463028,
-0.021749498322606087,
0.012506458908319473,
-0.02119232900440693,
0.014048623852431774,
0.00946690235286951,
-0.030505014583468437,
0.013541202060878277,
-0.025351200252771378,
-0.04974725469946861,
0.0448521226644516,
0.02000834420323372,
0.0009389793849550188,
0.019898900762200356,
-0.0003096766595263034,
0.009765385650098324,
0.0022523067891597748,
0.00889480859041214,
-0.036693572998046875,
-0.024256760254502296,
0.006332825403660536,
0.03613640367984772,
0.026764022186398506,
0.005646313074976206,
0.0017759769689291716,
-0.0038454625755548477,
-0.003935007844120264,
-0.0075217848643660545,
0.027042606845498085,
0.025868572294712067,
-0.019361630082130432,
-0.015232608653604984,
0.05110037699341774,
0.016207655891776085,
0.0015894246753305197,
-0.07286977767944336,
-0.008790339343249798,
-0.0057955551892519,
0.005999518558382988,
0.008427185006439686,
-0.021311722695827484,
-0.03070400469005108,
0.008785365149378777,
-0.006283077877014875,
0.01679467223584652,
-0.021172430366277695,
-0.022883735597133636,
-0.00030034902738407254,
-0.018207494169473648,
-0.008377437479794025,
-0.03965850919485092,
0.0064024715684354305,
0.031201476231217384,
0.023222018033266068,
0.011730401776731014,
0.050185028463602066,
0.00349474442191422,
-0.00706411013379693,
0.037827812135219574,
-0.05766701698303223,
0.04564807936549187,
0.022167375311255455,
0.0076660518534481525,
-0.008874909952282906,
0.04127031937241554,
0.035559337586164474,
0.03633539378643036,
-0.023261815309524536,
0.01986905187368393,
-0.025769077241420746,
0.03406691923737526,
0.04540929198265076,
-0.02787836082279682,
-0.005516970530152321,
0.028833508491516113,
0.005870176013559103,
0.025112412869930267,
-0.010327530093491077,
0.01334221288561821,
0.0048876674845814705,
0.02129182405769825,
-0.0014140657149255276,
0.04162850230932236,
0.0020010832231491804,
-0.02166990377008915,
-0.0008369975257664919,
-0.0007200915133580565,
-0.020495867356657982,
0.020973442122340202,
-0.00767600117251277,
0.002428909530863166,
-0.007278023287653923,
-0.006631308700889349,
-0.000723822508007288,
-0.010337479412555695,
0.026226751506328583,
-0.022346466779708862,
-0.0050866566598415375,
0.0027659472543746233,
0.033151570707559586,
0.030266229063272476,
0.04883190244436264,
-0.02266484871506691,
0.034803178161382675,
-0.01685437001287937,
-0.014187916181981564,
0.020356575027108192,
0.0020943593699485064,
0.0077058495953679085,
0.03898194804787636,
-0.022863836959004402,
-0.003788253292441368,
0.08182428032159805,
-0.010148439556360245,
-0.032534703612327576,
-0.0014066036092117429,
0.006208457052707672,
-0.017401589080691338,
-0.001051532570272684,
0.0005873285117559135,
0.01516296248883009,
0.03912124037742615,
-0.02915189042687416,
0.018336838111281395,
-0.036972157657146454,
-0.02407767064869404,
0.034902673214673996,
0.005671186838299036,
-0.0005083547439426184,
0.04278263822197914,
-0.018585573881864548,
0.010775255039334297,
0.014635642059147358,
-0.012168178334832191,
-0.04210607334971428,
0.028236540034413338,
-0.019600417464971542,
-0.029649361968040466,
0.017093155533075333,
-0.02232656627893448,
0.010745407082140446,
0.025589987635612488,
-0.0047981226816773415,
0.008501805365085602,
0.013929231092333794,
-0.02730129286646843,
0.0318780392408371,
0.006695980206131935,
0.007879965007305145,
0.04652363061904907,
-0.03784770891070366,
0.027719169855117798,
-0.02763957343995571,
0.05953751131892204,
-0.00635272404178977,
0.03715124726295471,
0.003954906482249498,
0.04286223277449608,
-0.0023331460542976856,
-0.024993019178509712,
-0.055478136986494064,
-0.020177485421299934,
-0.024813929572701454,
-0.06228356063365936,
-0.03530064970254898,
0.047478776425123215,
0.0020433685276657343,
-0.0007406122167594731,
0.013013881631195545,
0.012785043567419052,
0.047717563807964325,
-0.0030694054439663887,
-0.02252555638551712,
0.0125363077968359,
0.007208377122879028,
0.04839412868022919,
-0.0030271203722804785,
0.028873305767774582,
0.008108802139759064,
0.016476290300488472,
0.06813383847475052,
0.007919762283563614,
0.037927307188510895,
0.01750108413398266,
0.02006804198026657,
-0.059935491532087326,
-0.018207494169473648,
-0.01868506893515587,
0.04899109527468681,
-0.002751023042947054,
-0.021132633090019226,
0.024256760254502296,
-0.04600625857710838,
-0.007397416513413191,
0.001085733762010932,
-0.019142743200063705,
-0.02087394706904888,
-0.03241531178355217,
0.0350220650434494,
-0.03245510905981064,
-0.007223301101475954,
-0.034226108342409134,
0.03609660640358925,
0.0019177566282451153,
0.0059547461569309235,
-0.011471716687083244,
-0.0224260613322258,
-0.00126917683519423,
0.007193452678620815,
-0.0012635801685974002,
-0.03476338088512421,
-0.013690443709492683,
0.012058733962476254,
0.01830698922276497,
-0.017063308507204056,
-0.016098210588097572,
0.022744443267583847,
0.0027062506414949894,
-0.014207815751433372,
-0.02352050133049488,
-0.04310102015733719,
-0.014794833026826382,
0.03725074231624603,
0.017401589080691338,
0.022983230650424957,
-0.0231822207570076,
0.04974725469946861,
-0.00847195740789175,
0.017192650586366653,
0.011969189159572124,
0.0456082820892334,
-0.0011367247207090259,
0.013073578476905823,
0.007825243286788464,
-0.023958276957273483,
-0.030684106051921844,
0.02256535366177559,
0.023023027926683426,
-0.0007766789640299976,
-0.033668939024209976,
-0.007342694327235222,
0.022465858608484268,
-0.01773986965417862,
0.01176025066524744,
-0.020097890868782997,
0.02119232900440693,
0.006039316300302744,
-0.031957633793354034,
-0.026565033942461014,
0.04564807936549187,
0.034942470490932465,
0.0020321751944720745,
-0.001365562085993588,
0.022923534736037254,
-0.03392762690782547,
-0.02365979366004467,
0.02564968355000019,
-0.024157265201210976,
-0.03148006275296211,
-0.006596485618501902,
0.031818341463804245,
0.039180938154459,
0.02744058519601822,
0.044175561517477036,
0.01831693761050701,
0.029370777308940887,
-0.008332665078341961,
0.012546257115900517,
-0.04473273083567619,
-0.020038193091750145,
0.020933644846081734,
-0.04001668840646744,
0.0025918318424373865,
-0.013809837400913239,
-0.02564968355000019,
0.026764022186398506,
-0.019132792949676514,
0.07048191130161285,
0.009934525936841965,
-0.016147958114743233,
-0.08158549666404724,
-0.012426863424479961,
-0.00480309734120965,
0.02564968355000019,
-0.009680815041065216,
0.020416272804141045,
-0.03924063220620155,
0.020127737894654274,
0.013630746863782406,
-0.01727224700152874,
-0.025331301614642143,
0.037509430199861526,
0.008407285436987877,
0.03249490633606911,
-0.04883190244436264,
-0.0028057449962943792,
-0.06132841482758522,
0.014924176037311554,
0.04883190244436264,
-0.015411699190735817,
-0.0028505176305770874,
-0.008660996332764626,
-0.00604429142549634,
-0.013640697114169598,
0.008909733034670353,
-0.0001119313164963387,
-0.01166075561195612,
0.009044050239026546,
-0.02720179781317711,
0.06423365324735641,
0.016197705641388893,
-0.039777904748916626,
0.014038674533367157,
0.0014140657149255276,
-0.034842975437641144,
-0.02952997013926506,
0.016535986214876175,
-0.0380466990172863,
-0.015590788796544075,
-0.01642654277384281,
-0.009969349019229412,
0.04839412868022919,
0.030246330425143242,
0.006183583755046129,
0.03402712196111679,
0.05515975505113602,
-0.0161877553910017,
0.06315911561250687,
-0.0228041410446167,
-0.028893204405903816,
-0.02915189042687416,
-0.023222018033266068,
0.00891968235373497,
-0.011083687655627728,
-0.027559978887438774,
-0.01584947481751442,
0.0015919121215119958,
-0.0007051673019304872,
-0.008238145150244236,
-0.0033057050313800573,
0.010198187083005905,
-0.0031216400675475597
] |
The automated synthesis of correct-by-construction Boolean functions from
logical specifications is known as the Boolean Functional Synthesis (BFS)
problem. BFS has many application areas that range from software engineering to
circuit design. In this paper, we introduce a tool BNSynth, that is the first
to solve the BFS problem under a given bound on the solution space. Bounding
the solution space induces the synthesis of smaller functions that benefit
resource constrained areas such as circuit design. BNSynth uses a
counter-example guided, neural approach to solve the bounded BFS problem.
Initial results show promise in synthesizing smaller solutions; we observe at
least \textbf{3.2X} (and up to \textbf{24X}) improvement in the reduction of
solution size on average, as compared to state of the art tools on our
benchmarks. BNSynth is available on GitHub under an open source license. | [
0.04104861244559288,
0.0006323826964944601,
-0.023945024237036705,
-0.03048039600253105,
0.051850881427526474,
0.006382339168339968,
0.02936416119337082,
0.03964431956410408,
-0.06520967930555344,
0.03631361946463585,
0.045009445399045944,
-0.02849997952580452,
0.02660958282649517,
-0.006616388447582722,
0.015339219011366367,
0.08591403067111969,
-0.0022673506755381823,
-0.022702762857079506,
-0.01651846617460251,
-0.07136697322130203,
-0.022666756063699722,
0.0017913759220391512,
-0.02317086234688759,
0.0014594312524423003,
-0.05595574155449867,
0.004586462397128344,
0.007912660017609596,
0.005630681291222572,
-0.08526588976383209,
0.023584948852658272,
0.01884995587170124,
0.04785403981804848,
-0.044037241488695145,
0.015573267824947834,
-0.05419136956334114,
-0.04911430552601814,
0.004613467957824469,
0.009551004506647587,
-0.08915470540523529,
0.055343613028526306,
0.04702586680650711,
-0.0043929219245910645,
-0.018759936094284058,
0.013268784619867802,
0.027239715680480003,
0.002842346439138055,
-0.0006740164244547486,
-0.032190755009651184,
0.01031616423279047,
0.013457823544740677,
0.03269486129283905,
-0.029616214334964752,
0.06330128014087677,
0.01526720356196165,
0.00407560495659709,
0.001978165004402399,
0.019732140004634857,
0.03842006251215935,
0.04504545032978058,
0.01346682570874691,
0.05736003443598747,
-0.02336890436708927,
-0.02284679375588894,
0.00020648082136176527,
0.007903658784925938,
-0.007521077990531921,
0.02347692660987377,
-0.0037560381460934877,
-0.01511417143046856,
-0.000519577763043344,
-0.027401749044656754,
-0.041444696485996246,
-0.04126465693116188,
0.01755368337035179,
0.016851535066962242,
0.01311575248837471,
0.010820270515978336,
0.02133447676897049,
-0.02828393504023552,
0.05606376379728317,
-0.012611646205186844,
0.032460812479257584,
0.007764128968119621,
-0.001596710062585771,
0.009253941476345062,
-0.01155842561274767,
0.009596013464033604,
-0.06956660002470016,
0.005311114247888327,
-0.07323937118053436,
0.004780002869665623,
-0.042957015335559845,
0.014421026222407818,
0.0006340705440379679,
0.02063232846558094,
0.05390331149101257,
0.030642429366707802,
0.012224565260112286,
-0.03415316715836525,
0.03906819596886635,
-0.03028235398232937,
0.0058152200654149055,
-0.014538050629198551,
-0.01605936884880066,
0.027023671194911003,
-0.032892901450395584,
0.025223292410373688,
0.008358254097402096,
0.004613467957824469,
0.09289949387311935,
0.030138323083519936,
0.01755368337035179,
-0.044253285974264145,
0.051742855459451675,
-0.018651913851499557,
-0.012566637247800827,
-0.06913450360298157,
-0.03330698981881142,
-0.013295790180563927,
0.0029166119638830423,
0.021946605294942856,
0.0690624937415123,
-0.06330128014087677,
-0.04821411520242691,
-0.04961841180920601,
0.03652966395020485,
-0.046521760523319244,
-0.021694552153348923,
-0.0029503691475838423,
-0.029112108051776886,
-0.04187678545713425,
-0.006229307036846876,
0.023548942059278488,
-0.04558556526899338,
0.03431519865989685,
-0.01220656093209982,
0.03507135808467865,
0.02122645452618599,
-0.05393931642174721,
-0.012296579778194427,
-0.04374917969107628,
-0.05332718789577484,
0.04644974693655968,
0.01384490542113781,
0.04068853706121445,
-0.037411849945783615,
-0.029220130294561386,
0.0675501748919487,
-0.026735609397292137,
0.04346111789345741,
-0.05397532507777214,
0.03777192533016205,
0.030804462730884552,
0.04169674962759018,
0.041444696485996246,
0.05170685052871704,
0.02488122135400772,
0.02515127696096897,
0.0696026012301445,
0.026753613725304604,
0.052282970398664474,
-0.027707813307642937,
-0.01622140407562256,
-0.011576429009437561,
0.011450402438640594,
0.02525929920375347,
-0.05264304578304291,
0.0005856853676959872,
-0.06466957181692123,
0.02412506192922592,
0.05015852302312851,
0.06319326162338257,
-0.0008298616157844663,
0.07367146015167236,
-0.005594674032181501,
0.026681598275899887,
0.03618759289383888,
0.007161002606153488,
0.005023053847253323,
-0.04551355168223381,
-0.039680324494838715,
0.014889123849570751,
0.04040047898888588,
0.00009747358126332983,
0.020668337121605873,
0.05170685052871704,
0.04583761841058731,
-0.016509464010596275,
0.05844026058912277,
0.007147499825805426,
0.021370483562350273,
0.038492076098918915,
0.017841743305325508,
-0.00009698128997115418,
0.05721600726246834,
-0.07698415219783783,
-0.07345541566610336,
0.003557996591553092,
-0.04119264334440231,
0.036331623792648315,
-0.01352083683013916,
0.018057789653539658,
0.002432760549709201,
0.002644304884597659,
-0.018084794282913208,
0.04259693622589111,
0.014285997487604618,
0.004991547204554081,
-0.03183067962527275,
0.006769420579075813,
0.0035827518440783024,
0.020380277186632156,
-0.038708120584487915,
-0.08937074989080429,
-0.021730558946728706,
-0.009208932518959045,
-0.018813947215676308,
-0.03874412924051285,
-0.02849997952580452,
0.012854697182774544,
-0.030732449144124985,
0.05005050078034401,
0.03307294100522995,
-0.04007640853524208,
0.012818689458072186,
0.02128046564757824,
0.021298468112945557,
0.044577352702617645,
0.04356914386153221,
0.011900496669113636,
-0.04853818565607071,
0.029994294047355652,
-0.005959250498563051,
0.032568834722042084,
-0.006094278767704964,
-0.013880912214517593,
0.002205462660640478,
-0.04058051481842995,
-0.062401093542575836,
-0.0056486851535737514,
-0.05264304578304291,
0.012098538689315319,
-0.005864730570465326,
0.0010852902196347713,
0.04879023879766464,
-0.03339700773358345,
-0.01457405835390091,
0.041408687829971313,
-0.0021188196260482073,
0.00910090934485197,
-0.026807624846696854,
0.04529750347137451,
0.053687263280153275,
0.04194880276918411,
-0.04518948122859001,
-0.03129056468605995,
-0.0024845213629305363,
0.016401441767811775,
0.012395600788295269,
0.008785843849182129,
0.017400650307536125,
0.029130112379789352,
0.02365696430206299,
0.0674421489238739,
-0.015339219011366367,
-0.00923593807965517,
0.024251088500022888,
0.015024152584373951,
-0.01570829562842846,
0.051958903670310974,
0.046413738280534744,
-0.05898037552833557,
0.012917710468173027,
0.014916129410266876,
0.021730558946728706,
-0.04933035001158714,
-0.0026938151568174362,
0.02525929920375347,
0.009623019024729729,
0.010289158672094345,
-0.003879814175888896,
0.0607447475194931,
0.010352171957492828,
0.028698021546006203,
0.01131537463515997,
-0.04443332180380821,
-0.021316472440958023,
-0.013700874522328377,
-0.049690425395965576,
-0.028211919590830803,
-0.013196769170463085,
0.011675450019538403,
-0.07698415219783783,
0.03631361946463585,
0.020830370485782623,
0.055559657514095306,
0.006859439425170422,
-0.059016384184360504,
0.020776359364390373,
-0.04223686084151268,
-0.03190269321203232,
-0.034081149846315384,
0.03339700773358345,
0.005455144681036472,
-0.05962851271033287,
0.00870482623577118,
0.02633952721953392,
0.04248891398310661,
0.007174505386501551,
-0.019948186352849007,
0.042308878153562546,
-0.006647895090281963,
-0.04223686084151268,
-0.03332499414682388,
-0.03996838629245758,
0.005068063270300627,
0.020380277186632156,
-0.03415316715836525,
-0.04605366289615631,
-0.024197077378630638,
-0.005536161828786135,
-0.019966188818216324,
-0.09822861105203629,
0.10132525861263275,
0.014970141462981701,
0.0658218115568161,
0.060636721551418304,
0.06016862392425537,
0.009262943640351295,
-0.014763097278773785,
0.025511352345347404,
-0.04126465693116188,
-0.006769420579075813,
-0.014520046301186085,
-0.004789005033671856,
-0.061212845146656036,
-0.0011950007174164057,
0.054227378219366074,
0.004136367700994015,
-0.008709327317774296,
0.038384053856134415,
0.042632944881916046,
-0.047205906361341476,
0.004050849936902523,
-0.010523208416998386,
-0.03195670619606972,
-0.04191279411315918,
-0.036061566323041916,
-0.008601305074989796,
-0.05926843732595444,
0.0009767049923539162,
0.010001098737120628,
0.003909070044755936,
-0.014862118288874626,
0.019642122089862823,
-0.00434791250154376,
-0.03960831090807915,
-0.031272560358047485,
0.03228077292442322,
0.03420717641711235,
-0.0036705201491713524,
-0.02677161805331707,
0.03147060424089432,
0.026519564911723137,
-0.01589733548462391,
0.008988386020064354,
-0.002975124167278409,
-0.010037106461822987,
-0.019678128883242607,
-0.013394810259342194,
-0.06589382886886597,
0.09678830951452255,
0.001352533814497292,
0.011396391317248344,
0.014105959795415401,
0.012089536525309086,
0.018138805404305458,
-0.009713037870824337,
-0.05073464661836624,
0.04933035001158714,
-0.037735916674137115,
0.02263074927031994,
-0.014601063914597034,
-0.03802397847175598,
0.02117244340479374,
0.005099569912999868,
-0.03093048930168152,
0.014294999651610851,
-0.06157292053103447,
0.012890704907476902,
-0.0013874161522835493,
-0.057828135788440704,
0.009983094409108162,
-0.05645984783768654,
0.04518948122859001,
-0.018615907058119774,
-0.05332718789577484,
-0.051094722002744675,
0.02849997952580452,
-0.02958020754158497,
0.00991107989102602,
-0.03780793398618698,
0.0005072001949883997,
-0.018138805404305458,
-0.03291090577840805,
0.021946605294942856,
-0.05660387873649597,
0.01868792064487934,
0.016365433111786842,
-0.020326264202594757,
0.025079261511564255,
-0.05123875290155411,
0.002293231198564172,
0.002234718995168805,
0.04789004847407341,
-0.019624117761850357,
-0.030462391674518585,
-0.0042984019964933395,
0.02839195728302002,
0.00019705697195604444,
-0.06016862392425537,
0.011162342503666878,
0.02439511939883232,
0.006616388447582722,
0.039680324494838715,
-0.013889914378523827,
-0.038168009370565414,
0.029832258820533752,
-0.03318096324801445,
0.027617795392870903,
-0.010280157439410686,
0.019102009013295174,
-0.043497126549482346,
-0.00568469287827611,
-0.058260224759578705,
0.008515787310898304,
-0.014313003048300743,
0.010325166396796703,
-0.04752997308969498,
-0.012044527567923069,
-0.012071533128619194,
-0.030840471386909485,
-0.05073464661836624,
-0.0016754765529185534,
-0.029706234112381935,
-0.015393230132758617,
-0.06002459302544594,
-0.03442322462797165,
-0.007066482678055763,
-0.03330698981881142,
-0.02844596840441227,
-0.02650156058371067,
-0.0742475762963295,
0.00020015137852169573,
0.043281082063913345,
-0.07205111533403397,
0.026627587154507637,
-0.025817416608333588,
0.008425767533481121,
-0.0061707948334515095,
-0.01643744856119156,
0.03748386353254318,
-0.02434110827744007,
-0.04187678545713425,
0.04688183590769768,
-0.001678852248005569,
0.007525579072535038,
-0.04767400398850441,
0.007525579072535038,
0.0009221310028806329,
0.007602095138281584,
0.054227378219366074,
-0.014511045068502426,
0.02455715276300907,
-0.01711259037256241,
-0.005032056011259556,
-0.02736574225127697,
-0.023728979751467705,
0.018318843096494675,
-0.022288676351308823,
0.04832214117050171,
-0.0037762923166155815,
0.050338562577962875,
-0.062077026814222336,
0.015582269988954067,
0.03294691443443298,
-0.034981340169906616,
0.02230668067932129,
0.04835814610123634,
-0.031272560358047485,
-0.04976244270801544,
-0.07388750463724136,
-0.04302902892231941,
-0.01020814199000597,
0.024287095293402672,
0.01551025453954935,
-0.017328636720776558,
0.014511045068502426,
0.021784571930766106,
-0.007395051885396242,
-0.03978835046291351,
-0.016131384298205376,
0.0061707948334515095,
0.02822992391884327,
-0.0042713964357972145,
0.026411542668938637,
-0.02909410558640957,
0.05242700129747391,
-0.026465553790330887,
-0.043281082063913345,
-0.02155052125453949,
-0.014646072871983051,
0.018165811896324158,
-0.010469196364283562,
0.019786151126027107,
-0.013439820148050785,
-0.05408334732055664,
-0.0837535709142685,
0.001152241718955338,
0.03971633315086365,
0.040436483919620514,
-0.017427656799554825,
0.022882800549268723,
0.01219755969941616,
-0.019786151126027107,
0.002144699916243553,
0.057071976363658905,
0.005693694576621056,
0.004514447413384914,
0.01798577420413494,
-0.03530540689826012,
0.04590963199734688,
-0.04789004847407341,
-0.04299302026629448,
-0.033162958920001984,
-0.06481359899044037,
0.005567668471485376,
0.017382647842168808,
-0.04889826104044914,
-0.014664077199995518,
-0.030840471386909485,
0.00804318767040968,
-0.008223225362598896,
0.019480086863040924,
-0.0017891253810375929,
-0.02095639705657959,
0.05462346225976944,
-0.025781409814953804,
0.001529195811599493,
0.010667238384485245,
0.004118364304304123,
0.009262943640351295,
-0.019372064620256424,
-0.024575157091021538,
-0.006296821404248476,
-0.00823222752660513,
0.003996838815510273,
-0.03831204026937485,
0.016500461846590042,
-0.017400650307536125,
-0.038168009370565414,
-0.006985465530306101,
0.01879594475030899,
-0.009523998014628887,
0.0022144645918160677,
-0.025079261511564255,
0.006931454408913851,
0.022324685007333755,
-0.03274887055158615,
0.014177975244820118,
-0.015672288835048676,
0.012566637247800827,
-0.0038775636348873377,
0.00459096347913146,
-0.01966012455523014,
0.01741865463554859,
-0.028680017217993736,
-0.017049577087163925,
-0.01449304074048996,
-0.0032631848007440567,
0.004161123186349869,
-0.0304263848811388,
0.023044835776090622,
-0.01195450872182846,
0.008763338439166546,
-0.0004818823654204607,
-0.03033636510372162,
-0.04677381366491318,
0.02482721023261547,
-0.017859747633337975,
-0.018651913851499557,
0.03440522029995918,
0.01142339687794447,
-0.031200546771287918,
-0.029868267476558685,
0.00882635172456503,
-0.01749967224895954,
-0.012971721589565277,
-0.009271945804357529,
-0.012125544250011444,
0.015024152584373951,
0.0012422606814652681,
-0.0014493040507659316,
0.028409961611032486,
0.019029993563890457,
-0.0030561413150280714,
-0.0011646193452179432,
-0.0038910664152354,
-0.02925613895058632,
0.018975982442498207,
-0.04893426597118378,
-0.013214772567152977,
0.015969350934028625,
-0.04767400398850441,
-0.03136258199810982,
0.0077821328304708,
-0.013070742599666119,
-0.003418467240408063,
0.0023967528250068426,
0.03620559722185135,
0.03598955273628235,
-0.027023671194911003,
0.005626180674880743,
-0.031380586326122284,
0.0069809649139642715,
-0.0007083361269906163,
-0.03363105654716492,
-0.025385325774550438,
0.0045594568364322186,
-0.00880384724587202,
0.012314584106206894,
-0.006710907910019159,
-0.020596321672201157,
0.04900628328323364,
0.05588372424244881,
-0.01701357029378414,
-0.04029245302081108,
0.058368247002363205,
0.03285689279437065,
0.0022808536887168884,
-0.00724652037024498,
0.010460195131599903,
0.012503623962402344,
0.03382909670472145,
-0.0050050499849021435,
0.02252272516489029,
0.01820181868970394,
-0.012332587502896786,
0.0661458820104599,
0.01917402260005474,
-0.005414636339992285,
0.02882404811680317,
0.02036227285861969,
0.038276031613349915,
0.028680017217993736,
-0.005027554929256439,
0.04310104250907898,
0.02138848789036274,
0.01462806947529316,
-0.0008495532674714923,
-0.0028806044720113277,
-0.020128224045038223,
-0.029220130294561386,
0.016500461846590042,
0.016581479460000992,
-0.041516710072755814,
0.016284417361021042,
0.025493349879980087,
0.00736804585903883,
0.023638959974050522,
-0.01785074546933174,
-0.004082356579601765,
-0.014880122616887093,
0.024305099621415138,
0.01736464351415634,
-0.026699602603912354,
0.01026215311139822,
0.08317745476961136,
0.01136938575655222,
-0.043173059821128845,
-0.01592434197664261,
0.012152549810707569,
-0.02763579785823822,
-0.037303827702999115,
-0.01847187615931034,
-0.03845606744289398,
0.027887850999832153,
0.024809205904603004,
-0.010253150947391987,
0.04342511296272278,
-0.026411542668938637,
-0.05332718789577484,
-0.007052979897707701,
-0.03953629732131958,
0.03372107446193695,
0.019246038049459457,
-0.005072564352303743,
-0.029400169849395752,
0.052282970398664474,
-0.019156020134687424,
-0.0037942961789667606,
0.027401749044656754,
-0.03033636510372162,
-0.034063149243593216,
0.017319634556770325,
0.04378518834710121,
0.016149388626217842,
-0.019192026928067207,
0.0009356338414363563,
-0.0059007382951676846,
-0.019246038049459457,
0.03613358363509178,
-0.0037537876050919294,
0.004068853799253702,
0.0064048441126942635,
-0.005221095401793718,
0.030840471386909485,
-0.02317086234688759,
-0.009361964650452137,
0.0654977411031723,
0.028788041323423386,
-0.005450643599033356,
-0.01244061067700386,
-0.04025644809007645,
-0.009298951365053654,
0.0012940214946866035,
-0.01010011974722147,
-0.02306284010410309,
0.005590172950178385,
-0.010901287198066711,
-0.02376498654484749,
-0.015888333320617676,
-0.03652966395020485,
-0.020884381607174873,
-0.012431608512997627,
0.012314584106206894,
-0.0014886873541399837,
0.028409961611032486,
-0.020650332793593407,
-0.010442190803587437,
0.009695034474134445,
0.018156809732317924,
-0.020722348242998123,
-0.014619067311286926,
0.00598175497725606,
0.01716660149395466,
-0.008169214241206646,
0.017094586044549942,
-0.013745884411036968,
0.02877003699541092,
0.0652816966176033,
-0.0029346158262342215,
0.05570368841290474,
-0.008880363777279854,
0.0004056476172991097,
0.01976814866065979,
0.009938085451722145,
-0.0026398038025945425,
-0.0023269883822649717,
0.017805736511945724,
0.012521627359092236,
0.015042155981063843,
0.004235388711094856,
0.05754007399082184,
0.03874412924051285,
-0.08324946463108063,
-0.023999035358428955,
-0.026645591482520103,
0.03669169917702675,
-0.04353313520550728,
0.02160453237593174,
0.022000616416335106,
-0.019858166575431824,
-0.04605366289615631,
0.0030628927052021027,
-0.005275106988847256,
-0.0005544601008296013,
-0.015528257936239243,
-0.0027388245798647404,
0.04933035001158714,
0.019732140004634857,
0.035791508853435516,
-0.01971413567662239,
0.026915647089481354,
-0.014168973080813885,
-0.024233084172010422,
-0.0034004636108875275,
-0.01706758141517639,
0.048466168344020844,
0.04742195084691048,
-0.015492251142859459,
-0.0019882922060787678,
0.005594674032181501,
0.04346111789345741,
0.035629477351903915,
0.015555263496935368,
-0.021964609622955322,
-0.037735916674137115,
-0.010388179682195187,
-0.043929219245910645,
0.01809379644691944,
-0.02828393504023552,
-0.027977870777249336,
0.05779212713241577,
0.05437140911817551,
-0.03343301638960838,
-0.013214772567152977,
-0.019372064620256424,
0.036169588565826416,
0.011531420052051544,
0.02347692660987377,
0.01031616423279047,
-0.01449304074048996,
0.01768871210515499,
0.03541342914104462,
-0.01922803372144699,
-0.044253285974264145,
0.020110219717025757,
-0.01010011974722147,
-0.009749045595526695,
-0.01064023282378912,
-0.00027751136803999543,
-0.02747376449406147,
-0.014159970916807652,
-0.005999758839607239,
-0.027185704559087753,
0.012836693786084652,
-0.021262461319565773,
-0.018669918179512024,
-0.01673451066017151,
-0.00834024976938963,
0.049906473606824875,
-0.035035353153944016,
-0.023584948852658272,
-0.029868267476558685,
0.05671190097928047,
-0.017733721062541008,
0.013214772567152977,
0.00039355133776552975,
0.02866201475262642,
-0.0019579108338803053,
0.027545779943466187,
-0.0061707948334515095,
0.006008761003613472,
-0.03006630949676037,
-0.03631361946463585,
0.018030783161520958,
0.04987046495079994,
-0.0019522845977917314,
0.017328636720776558,
-0.0021964609622955322,
0.04626970738172531,
0.04310104250907898,
-0.036331623792648315,
-0.053363196551799774,
-0.01928204670548439,
0.06913450360298157,
0.016806526109576225,
-0.01487112045288086,
0.003256433177739382,
0.022270673885941505,
0.02392701990902424,
0.03489132225513458,
-0.04259693622589111,
0.026159489527344704,
-0.020164230838418007,
-0.034567251801490784,
-0.0674421489238739,
-0.022450711578130722,
-0.06610987335443497,
-0.02925613895058632,
-0.01795876771211624,
-0.01074825506657362,
0.03780793398618698,
0.01736464351415634,
-0.003051640233024955,
-0.020758355036377907,
-0.02936416119337082,
0.02682562917470932,
0.007872152142226696,
0.016689501702785492,
0.048574190586805344,
-0.03037237375974655,
0.014132965356111526,
0.029112108051776886,
0.01933605782687664,
-0.0077821328304708,
-0.053579241037368774,
0.0018498881254345179,
-0.04184078052639961,
-0.005932244937866926,
0.05703596770763397,
-0.03409915417432785,
-0.02698766253888607,
0.03222676366567612,
-0.005972753278911114,
-0.02596144750714302,
-0.014060950838029385,
0.0064318496733903885,
-0.0071024904027581215,
0.0008985010208562016,
-0.03242480382323265,
-0.023188864812254906,
-0.056423839181661606,
-0.014349010773003101,
-0.03415316715836525,
0.026429545134305954,
-0.002644304884597659,
0.01384490542113781,
-0.028950074687600136,
-0.023584948852658272,
0.005941246636211872,
0.021352481096982956,
-0.0733833983540535,
-0.008830852806568146,
0.01376388780772686,
-0.04922232776880264,
0.014349010773003101,
0.0017553683137521148,
-0.02398103103041649,
0.03667369484901428,
0.01020814199000597,
-0.035053353756666183,
0.040112417191267014,
-0.024035044014453888,
-0.009379968047142029,
-0.018867958337068558,
0.013754886575043201,
-0.004325407557189465,
-0.01581631787121296,
-0.03139858692884445,
0.03669169917702675,
0.05894436687231064,
-0.0066073862835764885,
0.030300358310341835,
-0.00010900724737439305,
-0.004329908639192581,
0.0077461255714297295,
-0.027995875105261803,
0.014511045068502426,
-0.05116673558950424,
-0.009659026749432087,
0.042848989367485046,
-0.000967140425927937,
-0.024305099621415138,
-0.014024943113327026,
0.029724236577749252,
0.006094278767704964,
-0.018021780997514725,
0.05595574155449867,
-0.015942344442009926,
0.002371997805312276,
-0.0008191718952730298,
0.006715408992022276,
-0.050446584820747375,
-0.03960831090807915,
-0.013250780291855335,
-0.040112417191267014,
-0.00030437635723501444,
0.03462126478552818,
0.0009181926725432277,
0.02985026314854622,
-0.03085847571492195,
-0.018885962665081024,
0.01766170561313629,
-0.006161793135106564,
0.0024350108578801155,
-0.007890155538916588,
-0.026843631640076637,
0.013862908817827702,
-0.011360383592545986,
-0.019894175231456757,
0.04796206206083298,
0.03867211565375328,
-0.008038686588406563,
-0.04050850123167038,
0.035359419882297516,
-0.007647104561328888,
0.04058051481842995,
0.010172134265303612,
0.06200500950217247,
-0.010271155275404453,
-0.008997388184070587,
-0.004579710774123669,
0.00603126548230648,
-0.010010099969804287,
0.012224565260112286,
-0.013394810259342194,
-0.05134677514433861,
-0.024737190455198288,
0.0031844181939959526,
0.008115203119814396,
0.02909410558640957,
-0.008367255330085754,
-0.016608484089374542,
0.027185704559087753,
0.03147060424089432,
0.015807317569851875,
0.03824002295732498,
-0.043173059821128845,
0.015636280179023743,
-0.01677051931619644,
-0.05725201219320297,
0.007521077990531921,
-0.01112633477896452,
0.013250780291855335,
-0.019480086863040924,
0.008578799664974213,
-0.018246829509735107,
0.036601681262254715,
0.008835353888571262,
0.00947898905724287,
0.03787994757294655,
0.0035917535424232483,
-0.01481710933148861,
-0.02979625202715397,
-0.040148425847291946,
0.02371097542345524,
0.023548942059278488,
0.0011736212763935328,
0.0021300718653947115,
-0.051310766488313675,
-0.02365696430206299,
-0.0036435145884752274
] |
While reinforcement learning has shown experimental success in a number of
applications, it is known to be sensitive to noise and perturbations in the
parameters of the system, leading to high variance in the total reward amongst
different episodes on slightly different environments. To introduce robustness,
as well as sample efficiency, risk-sensitive reinforcement learning methods are
being thoroughly studied. In this work, we provide a definition of robust
reinforcement learning policies and formulate a risk-sensitive reinforcement
learning problem to approximate them, by solving an optimization problem with
respect to a modified objective based on exponential criteria. In particular,
we study a model-free risk-sensitive variation of the widely-used Monte Carlo
Policy Gradient algorithm, and introduce a novel risk-sensitive online
Actor-Critic algorithm based on solving a multiplicative Bellman equation using
stochastic approximation updates. Analytical results suggest that the use of
exponential criteria generalizes commonly used ad-hoc regularization
approaches, improves sample efficiency, and introduces robustness with respect
to perturbations in the model parameters and the environment. The
implementation, performance, and robustness properties of the proposed methods
are evaluated in simulated experiments. | [
0.002312544034793973,
0.001779212267138064,
-0.03872809559106827,
-0.03620610386133194,
0.06443166732788086,
0.02969384379684925,
-0.04878150671720505,
0.009751119650900364,
-0.06767915934324265,
0.002092301845550537,
0.017127076163887978,
-0.006054503843188286,
0.01510602980852127,
-0.04069732129573822,
-0.02157510817050934,
0.0400063656270504,
0.011884447187185287,
-0.01644475758075714,
0.001123883412219584,
0.010148419067263603,
0.03731163591146469,
-0.002030763542279601,
0.014104143716394901,
0.07116848975419998,
-0.0002422395336907357,
0.019847717136144638,
0.007673932239413261,
-0.0018752983305603266,
-0.05379094183444977,
0.05237448215484619,
0.06201332062482834,
0.0033986407797783613,
-0.03316589817404747,
-0.01791303977370262,
-0.048263292759656906,
-0.009785667061805725,
0.0753142237663269,
0.036413393914699554,
-0.03504875302314758,
0.04639770835638046,
-0.0034137554466724396,
0.008477169089019299,
-0.01726526767015457,
-0.04363388568162918,
0.00987203698605299,
-0.016410209238529205,
-0.003370570717379451,
-0.0011724663199856877,
-0.0016734095988795161,
0.009690660983324051,
-0.054240062832832336,
-0.0037808259949088097,
0.06253153830766678,
-0.05479282885789871,
-0.0542055144906044,
0.013465008698403835,
0.039799079298973083,
-0.00005492562195286155,
0.045775849372148514,
0.022145146504044533,
0.027396414428949356,
-0.02736186608672142,
-0.05880037322640419,
0.013171352446079254,
0.04667409136891365,
-0.06467349827289581,
0.05880037322640419,
-0.052512671798467636,
0.02226606383919716,
0.01329226978123188,
-0.05500011518597603,
-0.02634270489215851,
-0.046294067054986954,
-0.008736277930438519,
0.03986817225813866,
0.06028592959046364,
0.028432847931981087,
0.0002909573377110064,
-0.023958906531333923,
0.0232161283493042,
0.02060776948928833,
0.019795894622802734,
-0.08381298929452896,
0.00021025582100264728,
0.06819737702608109,
-0.07552151381969452,
0.056934792548418045,
-0.054170966148376465,
0.03532513603568077,
-0.019536787644028664,
-0.009025615639984608,
0.015961088240146637,
0.02649817056953907,
0.008671500720083714,
0.02157510817050934,
-0.001839670934714377,
-0.005493101663887501,
0.015313317067921162,
-0.026463622227311134,
-0.022559721022844315,
0.050094325095415115,
-0.010407527908682823,
-0.0017554606311023235,
-0.02414891868829727,
0.007691206410527229,
-0.03558424487709999,
-0.12167739123106003,
-0.005929267965257168,
-0.01134895533323288,
0.15822897851467133,
0.007164352107793093,
-0.0032777234446257353,
-0.016436120495200157,
0.07082301378250122,
-0.0567965991795063,
0.006201331969350576,
0.005678796209394932,
-0.06418982893228531,
0.00747096398845315,
-0.007134122774004936,
-0.05109621211886406,
0.06342978030443192,
0.019364047795534134,
-0.004568947944790125,
-0.06253153830766678,
0.028346478939056396,
0.0019929767586290836,
0.023147033527493477,
0.0335286483168602,
0.041422825306653976,
0.005363547708839178,
0.0065684025175869465,
-0.006909562274813652,
-0.01799940876662731,
-0.013775939121842384,
0.010122508741915226,
-0.00750983040779829,
-0.03696615621447563,
-0.023613428696990013,
0.02198968082666397,
-0.002731436165049672,
-0.025824489071965218,
0.0012048549251630902,
0.027672795578837395,
0.038658998906612396,
0.014242335222661495,
-0.032699503004550934,
-0.007609155029058456,
-0.027068208903074265,
0.05534559115767479,
0.008395117707550526,
0.04321930930018425,
-0.004221310373395681,
0.01896674744784832,
0.05047434940934181,
0.028864694759249687,
-0.04011000692844391,
0.018206696957349777,
0.020020456984639168,
-0.035376958549022675,
0.06646998971700668,
-0.01719617284834385,
-0.014112780801951885,
0.0997740775346756,
0.03627520054578781,
0.04266654700040817,
0.0277246180921793,
-0.0559329055249691,
-0.05189081281423569,
0.04967975243926048,
-0.05005977675318718,
-0.08802781999111176,
-0.012229925021529198,
0.034236881881952286,
0.02364797703921795,
0.045948587357997894,
0.03817532956600189,
0.0007983783143572509,
-0.016522489488124847,
0.02606632374227047,
-0.017299816012382507,
-0.019243130460381508,
-0.01510602980852127,
0.05627838149666786,
0.03907357528805733,
-0.00021619371545966715,
0.048263292759656906,
-0.05320362746715546,
0.021177807822823524,
0.0063740708865225315,
-0.008148964494466782,
0.0343923456966877,
0.0017122759018093348,
-0.03150760382413864,
0.026273610070347786,
0.0006148430402390659,
-0.025530831888318062,
-0.00948337372392416,
0.02345796301960945,
0.00022105200332589447,
-0.01767120510339737,
-0.048885151743888855,
0.022818828001618385,
-0.018638543784618378,
0.01091710850596428,
-0.017982134595513344,
0.07220492511987686,
-0.028709230944514275,
-0.004143578000366688,
-0.04912698641419411,
-0.006028593052178621,
-0.046466805040836334,
-0.014786463230848312,
0.0029991818591952324,
-0.05524194985628128,
-0.02544446289539337,
0.03858990594744682,
0.0331486240029335,
0.0029387231916189194,
-0.011115757748484612,
-0.024874422699213028,
0.029071982949972153,
0.05271995812654495,
-0.03586062788963318,
-0.039695434272289276,
0.021851489320397377,
0.011098484508693218,
-0.009163807146251202,
0.016695229336619377,
-0.007626429200172424,
-0.03890083357691765,
0.00030391276231966913,
0.002258563181385398,
0.011331682093441486,
0.02269791066646576,
0.06087324023246765,
0.004607814364135265,
0.018673092126846313,
0.05195990577340126,
-0.019277678802609444,
-0.01073573250323534,
-0.005164897534996271,
0.03458235785365105,
-0.03586062788963318,
0.035186946392059326,
0.002971111796796322,
-0.015356501564383507,
0.06242789328098297,
0.04812509939074516,
0.0025306271854788065,
-0.05023251473903656,
-0.04505034536123276,
-0.037726208567619324,
0.009431552141904831,
0.0017997249960899353,
0.018154874444007874,
0.0327167771756649,
-0.054067324846982956,
-0.0022434485144913197,
-0.026964565739035606,
0.0503707081079483,
0.015788348391652107,
0.05368729680776596,
0.009621565230190754,
0.004353024065494537,
0.01641884632408619,
0.03769166022539139,
0.017075255513191223,
-0.00798486266285181,
0.01844853162765503,
0.006529536098241806,
-0.028605587780475616,
-0.0049576107412576675,
0.0060674590058624744,
0.005467190872877836,
-0.03003932163119316,
0.05168352276086807,
-0.026774553582072258,
-0.00686637731269002,
-0.002558697247877717,
0.0172220841050148,
0.02261154167354107,
0.014916016720235348,
-0.0204350296407938,
0.06626269966363907,
-0.02173057198524475,
-0.02805282175540924,
0.015226947143673897,
-0.09597381949424744,
-0.02528899721801281,
0.038417164236307144,
-0.048263292759656906,
-0.043012022972106934,
0.020365934818983078,
0.05289269611239433,
0.03264768049120903,
-0.05389458313584328,
-0.03724253922700882,
0.009854762814939022,
0.01723935827612877,
-0.007604836951941252,
-0.0016118712956085801,
0.009906584396958351,
0.02140236832201481,
-0.016712503507733345,
-0.009811578318476677,
-0.013361365534365177,
-0.0017317089950665832,
0.011823988519608974,
-0.010062050074338913,
-0.06719549000263214,
0.016470668837428093,
-0.02304339036345482,
-0.0019303589360788465,
0.009975680150091648,
0.04111189395189285,
0.014510080218315125,
-0.006849103607237339,
-0.008196467533707619,
0.0068145557306706905,
-0.011141669005155563,
0.03169761598110199,
-0.04667409136891365,
0.024304384365677834,
-0.01100347749888897,
-0.057038433849811554,
-0.0006639657076448202,
0.0038369661197066307,
-0.06785190105438232,
-0.02796645276248455,
-0.022473350167274475,
0.01700615882873535,
-0.09970498085021973,
0.004143578000366688,
-0.00214196415618062,
0.0050223879516124725,
-0.03582607954740524,
0.014786463230848312,
0.0005997283733449876,
-0.0864386186003685,
-0.018137600272893906,
-0.04684682935476303,
-0.04207923263311386,
-0.01713571324944496,
0.0009430472855456173,
-0.054343704134225845,
-0.011659885756671429,
-0.004216992296278477,
0.03458235785365105,
0.0214887373149395,
0.0008167318301275373,
-0.00048231982509605587,
0.001013762317597866,
0.042977474629879,
0.04197559133172035,
0.0050871651619672775,
0.04909243807196617,
0.03934995457530022,
-0.0227842815220356,
0.003448303323239088,
0.022300612181425095,
-0.04425574466586113,
-0.07842352986335754,
0.006235879845917225,
-0.03230220079421997,
0.02069413848221302,
-0.05292724445462227,
-0.0028134873136878014,
0.029659295454621315,
0.0012350842589512467,
-0.025789940729737282,
0.024269836023449898,
0.035117849707603455,
0.004992158617824316,
0.018241243436932564,
-0.013465008698403835,
-0.009768393822014332,
0.026878196746110916,
-0.04961065575480461,
0.052961792796850204,
0.00343318865634501,
0.0007843432831577957,
-0.0408700592815876,
-0.004499852191656828,
-0.001838591299019754,
0.06608995795249939,
-0.012696320191025734,
-0.03734618425369263,
0.05351455882191658,
0.021281450986862183,
0.019640430808067322,
-0.035722434520721436,
-0.00227151857689023,
0.0174380075186491,
-0.003679341869428754,
-0.015978362411260605,
-0.007375957444310188,
-0.04850512742996216,
0.012368116527795792,
-0.04636316001415253,
0.024390753358602524,
-0.0232161283493042,
-0.03299316018819809,
0.03634429723024368,
-0.0061279176734387875,
0.02511625736951828,
0.005924949422478676,
-0.047226857393980026,
-0.0038196921814233065,
0.014924653805792332,
0.03990272060036659,
-0.021592382341623306,
-0.009837488643825054,
-0.004180285148322582,
0.016082005575299263,
0.005363547708839178,
-0.02865740843117237,
-0.019329499453306198,
-0.0030035001691430807,
-0.020590495318174362,
-0.00510875741019845,
-0.03226765617728233,
0.08243107795715332,
0.015356501564383507,
-0.0031373731326311827,
0.041422825306653976,
-0.015745164826512337,
-0.01808577962219715,
0.024287110194563866,
-0.05579471215605736,
0.016816146671772003,
0.03934995457530022,
0.012566765770316124,
-0.033459555357694626,
0.0028156465850770473,
0.019104938954114914,
-0.02416619285941124,
0.054240062832832336,
0.016565674915909767,
-0.04076641798019409,
0.01065799966454506,
-0.0026537037920206785,
-0.03307952731847763,
0.029331091791391373,
0.02268063835799694,
-0.057038433849811554,
0.02069413848221302,
-0.016755688935518265,
-0.035480599850416183,
-0.004694183822721243,
0.003612405387684703,
0.027500057592988014,
-0.03627520054578781,
0.02319885417819023,
0.049507010728120804,
-0.029054708778858185,
0.032336749136447906,
-0.02121235616505146,
0.03048844262957573,
-0.01661749742925167,
0.0009889310458675027,
0.010277973487973213,
0.007596199866384268,
-0.013352728448808193,
0.030108416453003883,
0.03983362391591072,
-0.030851194635033607,
0.0008642350439913571,
-0.005847217049449682,
0.015995636582374573,
-0.020417755469679832,
-0.06498443335294724,
-0.012437211349606514,
-0.014829647727310658,
0.0157106164842844,
0.03713889792561531,
0.01635838858783245,
-0.07103029638528824,
0.046535901725292206,
-0.014242335222661495,
0.0348760150372982,
-0.019985908642411232,
0.026860922574996948,
-0.01168579701334238,
0.017602110281586647,
-0.022818828001618385,
0.05513830482959747,
-0.005259904079139233,
-0.020072277635335922,
-0.01667795516550541,
-0.03838261589407921,
-0.032423119992017746,
-0.011176216416060925,
-0.02198968082666397,
-0.0009187558316625655,
-0.013870946131646633,
0.027379140257835388,
-0.06045866757631302,
0.1165643110871315,
-0.005756529048085213,
0.03264768049120903,
-0.038417164236307144,
-0.004875559825450182,
0.025841761380434036,
-0.06342978030443192,
0.02433893270790577,
-0.004616450984030962,
-0.0013279314152896404,
0.00686637731269002,
-0.013965952210128307,
0.012808600440621376,
-0.007052071858197451,
-0.023095211014151573,
-0.018327614292502403,
0.014112780801951885,
0.01758483611047268,
0.035480599850416183,
-0.01199672743678093,
0.07476146519184113,
0.013724117539823055,
0.038658998906612396,
0.006952746771275997,
-0.008451257832348347,
0.02200695499777794,
-0.053030889481306076,
0.024356206879019737,
0.027085483074188232,
-0.012065823189914227,
-0.014181876555085182,
-0.007656658533960581,
-0.03456508368253708,
0.06736823171377182,
-0.031110303476452827,
-0.06304975599050522,
-0.031904902309179306,
-0.00871900375932455,
0.040904607623815536,
0.027949178591370583,
-0.020055003464221954,
-0.009276087395846844,
0.003385685384273529,
0.07759438455104828,
0.024045275524258614,
-0.008965156972408295,
-0.014294156804680824,
0.01948496513068676,
0.019709525629878044,
-0.022559721022844315,
-0.018051231279969215,
0.012575402855873108,
-0.017334364354610443,
0.011590790003538132,
0.011279860511422157,
0.01624610833823681,
0.0009300918318331242,
-0.028381025418639183,
-0.030954837799072266,
0.003683660179376602,
-0.02207605168223381,
-0.02874377742409706,
0.013257722370326519,
-0.017533013597130775,
-0.027672795578837395,
0.007531422656029463,
0.024097098037600517,
-0.02166147716343403,
0.025306271389126778,
0.03765711188316345,
0.01726526767015457,
-0.03717344254255295,
-0.00892197247594595,
-0.045499466359615326,
-0.009025615639984608,
-0.04055912792682648,
0.007172989193350077,
0.02701638825237751,
-0.01726526767015457,
-0.0077905310317873955,
-0.03717344254255295,
-0.01177216600626707,
-0.04387572035193443,
-0.024183467030525208,
-0.0005443979171104729,
0.03800259158015251,
0.026446348056197166,
-0.023440688848495483,
-0.035549696534872055,
-0.010554356500506401,
-0.0031913539860397577,
-0.04909243807196617,
-0.04943791776895523,
0.0006537093431688845,
0.01993408612906933,
0.04546491801738739,
-0.05534559115767479,
-0.0023902766406536102,
0.02798372693359852,
-0.020918698981404305,
0.05195990577340126,
-0.038658998906612396,
0.004055049270391464,
0.03299316018819809,
-0.030505716800689697,
0.023837989196181297,
0.00027287373086437583,
-0.012402663938701153,
0.03890083357691765,
0.003513080533593893,
-0.05465463548898697,
-0.024701684713363647,
-0.027603700757026672,
-0.0025414233095943928,
0.02406254969537258,
-0.030782099813222885,
0.04017910361289978,
0.015917902812361717,
-0.016496580094099045,
0.01069254707545042,
-0.022386981174349785,
0.0064388480968773365,
0.02354433201253414,
0.018742186948657036,
0.017032070085406303,
0.00895651988685131,
-0.00428392831236124,
-0.029503829777240753,
-0.013577289879322052,
-0.021540559828281403,
0.009777029976248741,
-0.007976225577294827,
-0.0066202240996062756,
-0.012972703203558922,
-0.0031805578619241714,
0.005920630879700184,
-0.010070687159895897,
-0.005579471588134766,
0.002854512771591544,
0.0636025220155716,
0.008528990671038628,
-0.024010729044675827,
-0.056416574865579605,
0.004940337035804987,
-0.0003775967634283006,
0.046121325343847275,
-0.008442620746791363,
-0.01670386642217636,
-0.01572789065539837,
0.027603700757026672,
0.006486351601779461,
0.018845830112695694,
-0.02634270489215851,
0.04011000692844391,
0.019882265478372574,
0.03579153120517731,
0.009517922066152096,
-0.03306225314736366,
-0.00016275257803499699,
-0.006931154523044825,
-0.017299816012382507,
0.00935381930321455,
0.0019800213631242514,
0.015537877567112446,
-0.010424802079796791,
0.03724253922700882,
0.023699797689914703,
0.03620610386133194,
0.08118735253810883,
0.030954837799072266,
-0.010830738581717014,
0.05151078477501869,
-0.042217426002025604,
-0.008550583384931087,
0.0021171330008655787,
0.04667409136891365,
0.021696025505661964,
-0.00913789588958025,
-0.015140578150749207,
0.05610564351081848,
0.005480146501213312,
-0.013853671960532665,
0.002670977497473359,
-0.02364797703921795,
-0.011012114584445953,
0.014354615472257137,
-0.04252835363149643,
-0.0003484470653347671,
0.023665249347686768,
0.0033554560504853725,
-0.01748119294643402,
0.010485260747373104,
-0.03800259158015251,
-0.026895470917224884,
0.02328522503376007,
-0.04294293001294136,
0.02570357173681259,
0.02328522503376007,
-0.008973794057965279,
-0.02910652942955494,
0.014674182049930096,
-0.012109007686376572,
-0.0490233413875103,
-0.017861217260360718,
-0.01793031394481659,
0.039177216589450836,
0.02337159402668476,
0.0024658499751240015,
-0.007768938783556223,
0.008356251753866673,
0.010424802079796791,
0.004689865279942751,
0.018638543784618378,
0.04881605505943298,
-0.022559721022844315,
0.0021765120327472687,
0.03370139002799988,
0.023423414677381516,
0.04943791776895523,
-0.04435938969254494,
0.020055003464221954,
0.045430369675159454,
0.051234401762485504,
0.00792872253805399,
0.017403459176421165,
-0.023164307698607445,
-0.019191307947039604,
0.033563196659088135,
0.059802260249853134,
-0.026532718911767006,
-0.03263040632009506,
-0.01607336848974228,
0.005233993288129568,
0.02927926927804947,
-0.05040525645017624,
0.003744118846952915,
0.013231811113655567,
0.014872832223773003,
0.0031352138612419367,
0.019381321966648102,
0.01748119294643402,
0.012169466353952885,
0.03473782166838646,
0.030281156301498413,
0.03706980124115944,
-0.03005659580230713,
-0.002476646099239588,
0.002267200034111738,
-0.04812509939074516,
-0.0034008000511676073,
0.016738414764404297,
0.0121608292683959,
0.02865740843117237,
-0.0016906834207475185,
0.0214887373149395,
-0.0400063656270504,
-0.07331045717000961,
0.008071232587099075,
0.02608359605073929,
-0.006158147007226944,
-0.014000500552356243,
-0.012713594362139702,
-0.005825624335557222,
0.04850512742996216,
0.02095324732363224,
-0.0516144298017025,
0.008516035042703152,
-0.020486852154135704,
-0.035221491008996964,
0.033459555357694626,
0.019433142617344856,
-0.01974407397210598,
0.028640134260058403,
0.022024229168891907,
0.012014000676572323,
-0.052098099142313004,
-0.0018537059659138322,
-0.005454235710203648,
0.05223628878593445,
0.01190172042697668,
-0.003623201511800289,
0.017533013597130775,
-0.030937563627958298,
0.02103961631655693,
-0.030177513137459755,
0.02736186608672142,
-0.023492511361837387,
-0.011979453265666962,
-0.019087664783000946,
-0.0028912199195474386,
-0.008714685216546059,
-0.01704934425652027,
0.008991067297756672,
-0.016384299844503403,
-0.021246902644634247,
0.009656112641096115,
0.005449917167425156,
0.020245017483830452,
-0.055207401514053345,
0.04885060340166092,
-0.027759166434407234,
0.0005414289771579206,
0.019156761467456818,
0.022991567850112915,
-0.002595404163002968,
0.030972111970186234,
-0.011184853501617908,
0.030678454786539078,
-0.0010429120156913996,
-0.004754642490297556,
0.010010228492319584,
-0.025945406407117844,
-0.013611837290227413,
0.00248960149474442,
0.007164352107793093,
-0.012117644771933556,
-0.006050185300409794,
0.014743277803063393,
0.0331486240029335,
0.032768599689006805,
0.006451803725212812,
-0.01748119294643402,
0.014009136706590652,
-0.035376958549022675,
-0.02891651727259159,
0.004793508909642696,
0.020642315968871117,
-0.028553765267133713,
-0.001786769600585103,
-0.03197399899363518,
0.006326567847281694,
-0.01736891083419323,
0.004685546737164259,
0.08008182793855667,
-0.015581062063574791,
0.007807805202901363,
-0.0735868364572525,
0.0021192922722548246,
-0.03869354724884033,
-0.0013797532301396132,
-0.009492010809481144,
0.005061254370957613,
-0.009025615639984608,
-0.0037808259949088097,
-0.035446055233478546,
0.01078755408525467,
-0.020158646628260612,
-0.06180603429675102,
0.008079868741333485,
0.04055912792682648,
-0.017740299925208092,
-0.04035184159874916,
-0.005812669172883034,
0.016643406823277473,
0.01627201773226261,
-0.02155783399939537,
-0.0048366934061050415,
-0.01685069501399994,
0.014259608462452888,
0.0481596477329731,
-0.009319271892309189,
-0.005164897534996271,
-0.03990272060036659,
0.027327317744493484,
0.02131599932909012,
-0.009595653973519802,
0.04373752698302269,
0.05254722014069557,
-0.010537082329392433,
-0.03976453095674515,
-0.045672204345464706,
-0.08256926387548447,
0.04104279726743698,
0.0563129298388958,
-0.03361501917243004,
0.01468281913548708,
-0.021108713001012802,
0.03252676501870155,
0.032872240990400314,
-0.02425256371498108,
-0.02458076737821102,
-0.0374152772128582,
0.016323840245604515,
-0.0026364298537373543,
0.03983362391591072,
-0.05368729680776596,
0.019847717136144638,
-0.03786440193653107,
-0.01939859613776207,
-0.020486852154135704,
-0.009535195305943489,
-0.034426894038915634,
0.03662068024277687,
-0.008688773959875107,
-0.020745960995554924,
0.013249085284769535,
0.019415870308876038,
0.018742186948657036,
0.01455326471477747,
-0.018742186948657036,
-0.010442075319588184,
-0.011979453265666962,
0.003793781390413642,
-0.029296543449163437,
-0.008209423162043095,
-0.02781098708510399,
0.057971224188804626,
0.02250789850950241,
0.008736277930438519,
0.008498761802911758,
0.05869672819972038,
-0.018984021618962288,
0.01074436865746975,
-0.0597677119076252,
0.05012887343764305,
-0.027845535427331924,
0.04674318805336952,
-0.0006747619481757283,
-0.007492556236684322,
-0.03686251491308212,
0.016971612349152565,
0.02649817056953907,
0.00441348273307085,
-0.005354910623282194,
-0.0318530797958374,
0.05133804678916931,
-0.005989726632833481,
-0.01679023541510105,
-0.00033819067175500095,
0.010364343412220478,
0.02606632374227047,
-0.012221287935972214,
0.024010729044675827,
0.005868809297680855,
0.01168579701334238,
0.01948496513068676,
-0.013698207214474678,
0.031576696783304214,
-0.00697433901950717,
-0.01254949253052473,
-0.007436416111886501,
-0.0012707116547971964,
-0.02934836409986019,
-0.021367819979786873,
0.006728186272084713,
-0.03755347058176994,
0.0524781234562397,
-0.027517331764101982,
-0.012661772780120373,
-0.013370002619922161,
-0.0353078618645668,
-0.011936268769204617,
-0.026480896398425102,
-0.014898743480443954,
0.014190512709319592,
-0.046985022723674774,
-0.03145578131079674,
0.020486852154135704,
-0.014484169892966747,
-0.019519513472914696,
-0.035549696534872055,
0.08236198127269745,
-0.05990590155124664,
-0.009448826313018799,
-0.06287701427936554,
-0.019692251458764076,
-0.0839511826634407,
0.029417460784316063,
-0.015719253569841385,
-0.02597995288670063,
-0.0029516785871237516,
0.01407823245972395,
0.011124394834041595,
0.016496580094099045,
-0.024097098037600517,
0.031991273164749146,
-0.01810305193066597,
0.010053412988781929,
0.05282360315322876,
-0.007466645445674658,
0.014173239469528198,
0.006222924217581749,
-0.00801509153097868,
0.011806714348495007,
0.012989976443350315,
-0.012903607450425625,
0.008451257832348347,
-0.04598313570022583,
0.020901424810290337,
0.013957315124571323,
-0.03475509583950043,
0.001310657593421638,
0.018673092126846313,
-0.024356206879019737,
-0.0006887969793751836,
-0.03392595052719116,
-0.022576993331313133,
-0.0014747596578672528,
-0.0018040434224531054,
-0.0018796167569234967,
-0.001198377227410674,
-0.012903607450425625,
-0.0007406186778098345,
-0.008066914044320583,
0.0063697523437440395,
0.04028274863958359,
0.018068505451083183,
0.008179194293916225,
0.08084187656641006,
-0.028778325766324997,
-0.04843603074550629,
0.0044653043150901794,
-0.04650135338306427,
0.009155170060694218,
-0.01134895533323288,
0.002614837372675538,
-0.05092347413301468,
-0.0007794849807396531,
-0.0335286483168602,
-0.02242152951657772,
0.023751620203256607,
-0.05016342177987099,
0.01108121033757925,
-0.04017910361289978,
0.002677455311641097,
0.025496283546090126
] |
Understanding the power and limitations of quantum access to data in machine
learning tasks is primordial to assess the potential of quantum computing in
artificial intelligence. Previous works have already shown that speed-ups in
learning are possible when given quantum access to reinforcement learning
environments. Yet, the applicability of quantum algorithms in this setting
remains very limited, notably in environments with large state and action
spaces. In this work, we design quantum algorithms to train state-of-the-art
reinforcement learning policies by exploiting quantum interactions with an
environment. However, these algorithms only offer full quadratic speed-ups in
sample complexity over their classical analogs when the trained policies
satisfy some regularity conditions. Interestingly, we find that reinforcement
learning policies derived from parametrized quantum circuits are well-behaved
with respect to these conditions, which showcases the benefit of a
fully-quantum reinforcement learning framework. | [
-0.02007978782057762,
0.023803304880857468,
-0.02424536645412445,
-0.002947784261777997,
0.005449256394058466,
-0.018107512965798378,
0.0008851853781379759,
0.026455672457814217,
-0.03135235235095024,
0.06151454150676727,
0.025792580097913742,
0.01836255006492138,
0.0430159717798233,
-0.01992676593363285,
-0.009053756482899189,
0.05263930931687355,
-0.01486006285995245,
-0.008756215684115887,
-0.03398771956562996,
-0.005066703539341688,
-0.012921794317662716,
-0.0021242324728518724,
-0.0365210697054863,
-0.009682844392955303,
-0.003391970880329609,
0.027424806728959084,
-0.0036597580183297396,
0.00038467839476652443,
-0.08752815425395966,
0.08222341537475586,
-0.020385829731822014,
0.0030391719192266464,
-0.007536296267062426,
-0.04393409937620163,
-0.0018723849207162857,
-0.01854957453906536,
0.009640337899327278,
-0.007289762143045664,
-0.07725872844457626,
0.003345214296132326,
-0.01125556230545044,
0.0032623279839754105,
-0.021695012226700783,
-0.05056501924991608,
-0.003168814815580845,
0.007502291351556778,
-0.031998440623283386,
-0.01425647921860218,
-0.02115093544125557,
-0.014111959375441074,
-0.04726656153798103,
-0.06386086344718933,
0.06984569877386093,
-0.00918977614492178,
-0.025129487738013268,
0.00852243322879076,
-0.008331156335771084,
-0.021865034475922585,
0.056141793727874756,
0.005423753056675196,
0.0032325738575309515,
-0.004361105617135763,
-0.08875232189893723,
0.019297679886221886,
-0.0003009948995895684,
-0.05087106302380562,
0.01724039390683174,
0.0032453255262225866,
0.040499623864889145,
-0.022035058587789536,
-0.05923622474074364,
-0.022273091599345207,
-0.0395134836435318,
0.0011689122766256332,
0.024449395015835762,
0.01849856786429882,
0.006660674698650837,
0.032049451023340225,
-0.006486400496214628,
0.043254002928733826,
0.016237253323197365,
0.034735821187496185,
-0.005483261309564114,
0.011094040237367153,
0.09337696433067322,
-0.06719332933425903,
-0.0012762396363541484,
-0.044716209173202515,
0.03131834790110588,
-0.028784995898604393,
-0.0483207069337368,
0.03852734714746475,
-0.0009866682812571526,
-0.02713576704263687,
-0.006171857006847858,
-0.00984436646103859,
-0.03553493320941925,
-0.020215805619955063,
-0.030876286327838898,
0.0032878313213586807,
0.007944352924823761,
-0.017750464379787445,
0.014936573803424835,
0.0050369491800665855,
0.038969408720731735,
-0.05495162680745125,
-0.074062280356884,
0.00426121661439538,
-0.008560688234865665,
0.12472931295633316,
-0.0256565622985363,
-0.049068812280893326,
-0.05838610604405403,
0.03689512237906456,
-0.04835471138358116,
-0.036385051906108856,
-0.02555454708635807,
-0.04930684342980385,
0.0509730763733387,
-0.021541990339756012,
0.009325794875621796,
0.09575729072093964,
0.03550092875957489,
0.01704486645758152,
-0.01858357898890972,
0.06239866092801094,
0.022426113486289978,
0.01284528337419033,
0.0157781895250082,
0.010473454371094704,
0.02424536645412445,
0.013329850509762764,
-0.02540152706205845,
-0.049136821180582047,
-0.037643224000930786,
-0.030706262215971947,
0.0229191817343235,
-0.011595609597861767,
0.009793359786272049,
-0.05246928334236145,
0.008135629817843437,
-0.06749936938285828,
0.007570300716906786,
0.020776884630322456,
0.03097829967737198,
0.023565271869301796,
-0.04801466688513756,
0.024415388703346252,
-0.01068598311394453,
0.027407804504036903,
-0.03930945694446564,
0.04917082563042641,
-0.03682711347937584,
0.016041727736592293,
0.04855874180793762,
-0.010856007225811481,
-0.030587246641516685,
0.013873926363885403,
0.026064617559313774,
-0.059270229190588,
0.0596102736890316,
0.0009824176086112857,
-0.019280675798654556,
0.07481038570404053,
0.024619417265057564,
0.050429001450538635,
0.03679310902953148,
0.00673293462023139,
-0.053319402039051056,
0.038935404270887375,
0.0169768575578928,
0.018039504066109657,
-0.027424806728959084,
0.002728878753259778,
0.0297201257199049,
0.02256213128566742,
0.027764854952692986,
-0.008352409116923809,
-0.03220247104763985,
-0.024551408365368843,
-0.02109992876648903,
0.030077176168560982,
0.024636419489979744,
0.09514521062374115,
0.08310753852128983,
0.03279755264520645,
0.040363602340221405,
-0.02691473625600338,
0.01338935922831297,
0.00007717477274127305,
0.023038199171423912,
0.03811929002404213,
0.010328933596611023,
-0.010856007225811481,
0.002070037415251136,
-0.009495818056166172,
-0.016126738861203194,
0.005963577888906002,
0.008216390386223793,
0.04492023587226868,
-0.033375632017850876,
-0.011884650215506554,
0.012403221800923347,
-0.030400220304727554,
-0.0056022778153419495,
-0.008131379261612892,
-0.01059247087687254,
0.011170551180839539,
0.0007932664011605084,
0.01844756118953228,
0.007009223103523254,
-0.01576118730008602,
-0.0063801356591284275,
-0.08099924772977829,
-0.000477128749480471,
-0.01264975592494011,
-0.04390009492635727,
-0.037575215101242065,
-0.054747600108385086,
-0.043322015553712845,
-0.08079521358013153,
-0.0034238502848893404,
0.034718818962574005,
-0.03502486273646355,
-0.022290093824267387,
-0.0184305589646101,
-0.05498563498258591,
-0.023565271869301796,
0.019603721797466278,
0.0338687002658844,
0.0021252951119095087,
0.0336986780166626,
0.03111431933939457,
0.05352342873811722,
0.000560546584893018,
-0.021031919866800308,
0.017852477729320526,
0.0012039795983582735,
0.000025835617634584196,
-0.028019890189170837,
-0.021950047463178635,
0.009019752033054829,
-0.02281716838479042,
0.015327627770602703,
-0.0213379617780447,
-0.011961160227656364,
-0.0004675649106502533,
0.0767146497964859,
0.06923361122608185,
0.060290370136499405,
-0.08045516908168793,
-0.026115626096725464,
-0.02832593210041523,
-0.005398249253630638,
-0.043219998478889465,
-0.0016099109780043364,
-0.0004848329408559948,
-0.04151976481080055,
-0.04570234566926956,
-0.004939185455441475,
0.034667812287807465,
0.0451582707464695,
0.06607117503881454,
0.07317815721035004,
-0.044852226972579956,
0.04668848216533661,
0.03441277891397476,
0.02557154931128025,
0.020334823057055473,
-0.00009324731945525855,
-0.023089205846190453,
0.0022528127301484346,
-0.050497010350227356,
0.003670384641736746,
0.022086065262556076,
-0.0541355162858963,
0.023293234407901764,
-0.0038234058301895857,
-0.0033430890180170536,
0.012624252587556839,
0.01866859197616577,
-0.0372011661529541,
0.03257652372121811,
-0.00918127503246069,
-0.027747852727770805,
-0.07093384861946106,
-0.02137196622788906,
-0.029176050797104836,
-0.06586714088916779,
0.003105056006461382,
0.02257913537323475,
0.0006402451545000076,
-0.06658124178647995,
0.006601166445761919,
0.03170940279960632,
0.0033558409195393324,
-0.059270229190588,
-0.014664535410702229,
0.013924933038651943,
0.06566311419010162,
0.0022783163003623486,
-0.006205861456692219,
0.014043949544429779,
0.04971490055322647,
-0.020742880180478096,
-0.0018415681552141905,
0.04828670248389244,
0.038867395371198654,
0.03856135159730911,
0.006936963181942701,
0.03301858529448509,
0.0004059313505422324,
0.01680683344602585,
-0.050156962126493454,
-0.034854840487241745,
0.027356797829270363,
0.06651323288679123,
0.03165839612483978,
-0.04536229744553566,
-0.038833390921354294,
0.029159048572182655,
0.017801471054553986,
-0.0850118026137352,
0.01695985533297062,
0.02669370546936989,
-0.018906624987721443,
0.005925322417169809,
0.021661007776856422,
-0.050156962126493454,
-0.023582274094223976,
0.01703636534512043,
0.004329225979745388,
-0.07236204296350479,
0.03159038722515106,
0.0149025684222579,
-0.03682711347937584,
-0.03839132934808731,
0.009113265201449394,
-0.011944158002734184,
-0.061854586005210876,
-0.024364382028579712,
0.0018808861495926976,
0.020878897979855537,
0.024585412815213203,
-0.003940296825021505,
-0.07549048215150833,
-0.03449779003858566,
0.026149630546569824,
0.001355938264168799,
0.029159048572182655,
0.0008665890782140195,
-0.0020955409854650497,
-0.00919827725738287,
0.025826584547758102,
0.055767741054296494,
-0.04954487830400467,
-0.03502486273646355,
0.06960766017436981,
-0.01854957453906536,
-0.03584097698330879,
0.0005068828468210995,
-0.06409890204668045,
-0.030179189518094063,
0.016050228849053383,
-0.06416691094636917,
-0.02273215539753437,
-0.03516088053584099,
0.004146450664848089,
0.00986986979842186,
0.027492817491292953,
-0.003950923681259155,
0.05804605782032013,
0.013508375734090805,
0.029023028910160065,
-0.017461424693465233,
-0.007765828166157007,
-0.041757795959711075,
-0.02688073180615902,
-0.04961288720369339,
0.039173439145088196,
-0.06375885009765625,
0.03536491096019745,
-0.014690039679408073,
0.012913292273879051,
0.0029244059696793556,
0.0479806624352932,
-0.007974106818437576,
-0.06984569877386093,
-0.022273091599345207,
0.02150798588991165,
0.00669893017038703,
0.02150798588991165,
-0.026625696569681168,
-0.003746895119547844,
-0.004798916168510914,
0.01691734790802002,
0.02123594842851162,
-0.00850543100386858,
0.012267203070223331,
-0.011468091979622841,
-0.009648839943110943,
0.022120071575045586,
-0.0018883246229961514,
-0.023225223645567894,
0.04264191910624504,
0.0002155846159439534,
-0.030009165406227112,
-0.0006583101348951459,
0.011689122766256332,
-0.01345736812800169,
0.003277204930782318,
-0.05552970990538597,
-0.010881510563194752,
-0.02978813461959362,
0.011366077698767185,
-0.027764854952692986,
-0.034650810062885284,
0.006992220878601074,
-0.0016874842112883925,
-0.04070365056395531,
-0.041859809309244156,
0.002694874070584774,
0.031828418374061584,
-0.01841355673968792,
-0.03587498143315315,
0.027934877201914787,
0.05515565723180771,
0.003281455487012863,
0.0037830250803381205,
-0.021882038563489914,
0.04077165946364403,
-0.0033175854478031397,
-0.010992025956511497,
-0.014537017792463303,
-0.06702330708503723,
0.017699457705020905,
0.037745241075754166,
0.02276615984737873,
-0.0030604249332100153,
-0.018107512965798378,
-0.006711681839078665,
-0.014111959375441074,
-0.009376801550388336,
-0.028801998123526573,
0.054373547434806824,
-0.003806403372436762,
-0.03560294210910797,
-0.028955020010471344,
-0.016041727736592293,
0.003168814815580845,
-0.08371961861848831,
0.003825531108304858,
-0.06535707414150238,
-0.03267853707075119,
0.07120588421821594,
-0.03165839612483978,
0.009155770763754845,
-0.01717238314449787,
0.023497261106967926,
0.018005499616265297,
0.02404133789241314,
-0.012751770205795765,
0.02711876481771469,
-0.02538452483713627,
0.03419174626469612,
0.0001619209215277806,
-0.05665186420083046,
-0.05359144136309624,
-0.012530739419162273,
-0.004930684342980385,
0.019195664674043655,
-0.07678265869617462,
-0.03148837015032768,
0.0425059013068676,
0.010541463270783424,
0.041757795959711075,
0.023106208071112633,
-0.051687177270650864,
-0.023293234407901764,
-0.03927545249462128,
0.060358379036188126,
-0.0037447698414325714,
0.01565067283809185,
-0.013525377959012985,
-0.006545908749103546,
0.012241699732840061,
0.0996338352560997,
-0.001347437035292387,
0.0030604249332100153,
0.00533023988828063,
-0.050190966576337814,
-0.024908458814024925,
-0.0023080704268068075,
0.03835732489824295,
0.01713837869465351,
0.0564478375017643,
0.013312848284840584,
-0.030468229204416275,
0.09303691238164902,
0.015106596983969212,
-0.011009028181433678,
-0.07535446435213089,
-0.04794665798544884,
0.04213184863328934,
-0.04230187088251114,
0.03944547474384308,
0.030672257766127586,
-0.02671070769429207,
-0.07399427145719528,
-0.027985885739326477,
0.027934877201914787,
0.02982214093208313,
-0.01703636534512043,
0.00782108586281538,
0.007761577609926462,
0.009419308044016361,
-0.01575268618762493,
-0.020232809707522392,
0.029380079358816147,
0.0026884982362389565,
0.033358629792928696,
-0.02832593210041523,
0.03859535977244377,
-0.003581122262403369,
-0.030264200642704964,
0.03567095100879669,
0.010422446765005589,
-0.03825531154870987,
0.004879677202552557,
-0.027492817491292953,
-0.06430292874574661,
0.03682711347937584,
-0.02422836422920227,
-0.08072720468044281,
-0.051551155745983124,
0.01696835644543171,
0.0297201257199049,
0.0018298790091648698,
-0.00918127503246069,
-0.020810889080166817,
-0.02002878114581108,
0.0624326653778553,
0.02409234456717968,
0.014962077140808105,
0.02392232045531273,
-0.016424279659986496,
0.024398386478424072,
-0.020470842719078064,
0.0004521565278992057,
-0.02960111014544964,
-0.01709587313234806,
-0.031998440623283386,
0.009334295988082886,
-0.030213193967938423,
-0.03242349997162819,
-0.06831548362970352,
0.011629614047706127,
-0.024687428027391434,
-0.016271259635686874,
-0.024704430252313614,
0.04981691762804985,
0.011400082148611546,
-0.015004582703113556,
0.0015535906422883272,
-0.012488233856856823,
-0.044852226972579956,
0.05433954298496246,
0.03964950516819954,
0.02560555376112461,
0.007702069357037544,
-0.016118237748742104,
-0.010379941202700138,
-0.008501180447638035,
-0.020929904654622078,
0.02126995287835598,
0.027798859402537346,
-0.005453506950289011,
-0.03203244507312775,
0.009529822506010532,
0.028002887964248657,
-0.010226919315755367,
-0.01338935922831297,
0.04995293542742729,
0.03556893765926361,
0.012539240531623363,
-0.03947947919368744,
-0.039207443594932556,
-0.015387136489152908,
-0.023208221420645714,
-0.011128044687211514,
-0.06998171657323837,
0.05059902369976044,
-0.03539891541004181,
0.015931211411952972,
-0.03553493320941925,
0.02280016429722309,
0.02149098366498947,
-0.04359405115246773,
0.04400210827589035,
-0.0013378732837736607,
-0.026302650570869446,
0.020623862743377686,
0.051551155745983124,
0.01863458752632141,
-0.005695790518075228,
0.0018001248827204108,
0.021933045238256454,
0.014775050804018974,
0.0012773022754117846,
0.022970188409090042,
0.02433037757873535,
0.007404528092592955,
0.030281202867627144,
-0.017920488491654396,
0.036215025931596756,
0.004059313330799341,
-0.009980385191738605,
-0.011799638159573078,
0.0005695790750905871,
-0.05828409269452095,
-0.006579913664609194,
-0.0023633281234651804,
-0.007323766592890024,
-0.033528655767440796,
-0.02109992876648903,
0.012522238306701183,
-0.025010472163558006,
-0.0169768575578928,
-0.0009717911598272622,
0.000787421828135848,
-0.02269815094769001,
-0.03308659419417381,
-0.025843588635325432,
-0.033307623118162155,
-0.02696574293076992,
-0.020929904654622078,
0.008288650773465633,
0.0451582707464695,
0.04556632414460182,
0.012726266868412495,
-0.011570106260478497,
-0.0043993606232106686,
0.026625696569681168,
0.05093907192349434,
0.0015302124666050076,
0.04094168543815613,
0.005683038849383593,
-0.040601637214422226,
0.007009223103523254,
-0.023293234407901764,
0.06423491984605789,
0.007583052851259708,
-0.011527600698173046,
0.06386086344718933,
0.003953048959374428,
0.0023633281234651804,
0.01858357898890972,
0.0012092929100617766,
0.031862422823905945,
0.00669893017038703,
0.05127912014722824,
0.0092577850446105,
-0.0026119875255972147,
0.0169343501329422,
0.005517265759408474,
0.01686634123325348,
0.06562910974025726,
0.03512687608599663,
0.01340636145323515,
0.04723255708813667,
-0.026149630546569824,
-0.0317264050245285,
-0.019110653549432755,
0.02688073180615902,
0.031981438398361206,
-0.0009361924603581429,
0.02113393321633339,
0.0239903312176466,
0.007285511586815119,
-0.005861563608050346,
0.002492971019819379,
-0.018872620537877083,
-0.011068536899983883,
-0.022188080474734306,
-0.009317293763160706,
0.001591845997609198,
-0.008403416723012924,
-0.00016497602337040007,
-0.039139434695243835,
0.00001403857004333986,
-0.01997777260839939,
-0.05831809714436531,
0.030485231429338455,
-0.04437616094946861,
-0.016109736636281013,
0.017461424693465233,
-0.06851951032876968,
0.013542380183935165,
0.009886872954666615,
-0.006907208822667599,
-0.05624380707740784,
-0.0170618686825037,
0.008246145211160183,
0.0008278024033643305,
0.07447034120559692,
0.03094429522752762,
0.03869737312197685,
0.033545657992362976,
0.003810653928667307,
0.005223975051194429,
0.004420613870024681,
-0.007047478575259447,
0.03641905635595322,
0.04080566391348839,
0.014332990162074566,
-0.01982475258409977,
0.02710176259279251,
-0.020317820832133293,
0.010549964383244514,
0.00336221675388515,
0.017427420243620872,
-0.007510792464017868,
-0.0026927487924695015,
-0.04291395843029022,
-0.01999477483332157,
0.03869737312197685,
0.017903486266732216,
-0.016500791534781456,
0.008900735527276993,
-0.0015248991549015045,
-0.0030774271581321955,
-0.006125100422650576,
-0.012250200845301151,
0.000521759910043329,
0.00919827725738287,
0.000658841454423964,
0.014503013342618942,
0.03240649774670601,
0.003238949691876769,
0.0024483399465680122,
0.008394915610551834,
0.010745491832494736,
-0.011332073248922825,
-0.019399693235754967,
0.014026947319507599,
0.016143741086125374,
-0.015973716974258423,
-0.008254646323621273,
0.02987314760684967,
0.009138768538832664,
0.026608694344758987,
-0.015013083815574646,
0.02970312349498272,
0.0030774271581321955,
-0.03235549107193947,
0.001073273946531117,
-0.0019690857734531164,
-0.0005892380722798407,
0.02977113239467144,
0.019382691010832787,
0.006694679614156485,
0.042063839733600616,
0.002964786486700177,
0.03947947919368744,
0.0001559435186209157,
-0.03227047994732857,
-0.039173439145088196,
0.020878897979855537,
0.021031919866800308,
-0.05403350293636322,
0.004057188052684069,
0.041927821934223175,
0.005466258618980646,
0.000348548375768587,
-0.005525767337530851,
-0.006571412086486816,
-0.011119543574750423,
0.020351825281977654,
-0.00032224785536527634,
0.025197498500347137,
0.008977246470749378,
0.011009028181433678,
-0.01142558641731739,
0.04236988350749016,
-0.008182385936379433,
-0.027509819716215134,
-0.006601166445761919,
-0.0423358790576458,
0.03580697253346443,
0.001659855479374528,
-0.034786827862262726,
-0.00460338918492198,
0.03862936422228813,
-0.039037417620420456,
0.05104108527302742,
-0.018719598650932312,
-0.0423358790576458,
0.007209000643342733,
0.01680683344602585,
-0.05229926109313965,
0.010354437865316868,
-0.010082399472594261,
-0.009572328999638557,
0.03373268246650696,
0.00014531705528497696,
-0.016398776322603226,
-0.016254257410764694,
-0.0008942178683355451,
0.003277204930782318,
0.05219724774360657,
0.0006806257297284901,
0.006082594394683838,
-0.008790220133960247,
0.02997516095638275,
0.013236337341368198,
-0.018719598650932312,
-0.019195664674043655,
0.01721489056944847,
0.007859340868890285,
-0.03556893765926361,
-0.0031178079079836607,
-0.0120801767334342,
0.008773217909038067,
-0.02977113239467144,
-0.04937485605478287,
0.011009028181433678,
0.029312068596482277,
-0.009563827887177467,
-0.02414335124194622,
0.009147269651293755,
0.007876343093812466,
0.06076643615961075,
-0.03244050219655037,
0.0037447698414325714,
-0.01480905618518591,
0.020351825281977654,
-0.0030689260456711054,
0.022001054137945175,
-0.005993332248181105,
0.025095483288168907,
-0.003987053409218788,
-0.02682972513139248,
-0.013057813048362732,
-0.013023807667195797,
-0.03289956599473953,
0.02705075591802597,
-0.025996608659625053,
-0.019059645012021065,
-0.015548658557236195,
-0.0005642658215947449,
0.01820952817797661,
-0.020164798945188522,
0.05637982860207558,
-0.020589858293533325,
-0.04107770323753357,
0.017937490716576576,
-0.01284528337419033,
0.03995554521679878,
-0.03828931599855423,
-0.006201610900461674,
0.017410416156053543,
-0.008156882598996162,
-0.007566050160676241,
-0.03859535977244377,
0.01866859197616577,
-0.024721432477235794,
0.020283816382288933,
-0.016526294872164726,
-0.004412112291902304,
-0.002271940466016531,
-0.0018713222816586494,
0.03254251927137375,
-0.04117971658706665,
0.013066314160823822,
0.011510597541928291,
0.03240649774670601,
0.017818473279476166,
-0.020147796720266342,
-0.019331684336066246,
-0.008054868318140507,
-0.00740027753636241,
0.03417474403977394,
-0.0028819001745432615,
-0.02422836422920227,
0.023140212520956993,
0.019297679886221886,
-0.03104631043970585,
-0.01565067283809185,
0.034956853836774826,
-0.01723189279437065,
-0.01060947310179472,
0.0036682591307908297,
-0.010770995169878006,
0.030706262215971947,
0.027866868302226067,
-0.008900735527276993,
-0.05369345471262932,
-0.039071425795555115,
0.048728764057159424,
0.009793359786272049,
0.004120946861803532,
-0.00427821883931756,
-0.02684672735631466,
-0.04420613870024681,
0.02128695510327816,
-0.007553298491984606,
0.006779691204428673,
0.0171468798071146,
0.053183384239673615,
0.00853943545371294,
0.009155770763754845,
-0.005695790518075228,
-0.0006731871981173754,
-0.046280425041913986,
-0.01484306063503027,
0.005202722270041704,
-0.032168466597795486,
-0.04944286495447159,
0.050190966576337814,
-0.007897596806287766,
-0.000032825846574269235,
-0.037575215101242065,
-0.00004366817302070558,
0.025231502950191498,
-0.04546431079506874,
-0.03264453262090683,
0.017427420243620872,
0.024823445826768875,
-0.022341102361679077,
-0.03261052817106247,
0.009725349955260754,
0.016747325658798218,
0.04260791465640068,
-0.007132490165531635,
0.02140597254037857,
-0.004679899662733078,
-0.007476788014173508,
-0.01717238314449787,
-0.009997387416660786,
0.014520015567541122,
-0.05257129669189453,
-0.0479806624352932,
0.004140074830502272,
-0.015888705849647522,
0.030808277428150177,
-0.05376146361231804,
0.03733718395233154,
0.028955020010471344,
-0.01987575925886631,
0.034786827862262726,
-0.011128044687211514,
0.043288011103868484,
0.03822130709886551,
-0.03825531154870987,
-0.013236337341368198,
-0.02810490131378174,
-0.014919571578502655,
-0.027322793379426003,
-0.054679591208696365,
0.008093123324215412,
-0.010932517237961292,
0.014103458262979984,
-0.029125044122338295,
-0.013627392239868641,
-0.03252551704645157,
0.025163494050502777,
-0.009759354405105114,
-0.04957888275384903,
-0.006562910974025726,
-0.010371440090239048,
-0.032168466597795486,
0.009300291538238525,
0.028904013335704803,
0.013992942869663239,
0.0026141128037124872,
-0.023089205846190453,
-0.0070219747722148895,
-0.015098095871508121,
0.0036895121447741985,
0.026523681357502937,
0.020555853843688965,
-0.05651584640145302,
0.010422446765005589,
-0.009351298213005066,
0.016509292647242546,
-0.006851951126009226,
0.00422508642077446,
0.01345736812800169,
-0.03818730264902115,
-0.006873204372823238,
0.025248505175113678,
-0.037745241075754166,
0.040533628314733505,
-0.01349137257784605,
0.0015759062953293324,
-0.009045255370438099,
0.0057340459898114204,
-0.012751770205795765,
0.02388831600546837,
0.00018197839381173253,
-0.012768772430717945,
-0.009572328999638557,
-0.010541463270783424,
0.05202722176909447,
0.09126867353916168,
0.0008458674419671297,
0.05811406672000885,
-0.021558992564678192,
-0.017291400581598282,
0.029210055246949196,
-0.013006805442273617,
-0.019416695460677147,
0.02846195176243782,
-0.008756215684115887,
-0.024432390928268433,
0.047436583787202835,
0.006371634546667337,
-0.012989803217351437,
0.012411722913384438,
-0.047368574887514114,
0.00845017284154892,
-0.04219985753297806,
0.05984830856323242,
0.0005950825870968401
] |
Many real-world reinforcement learning tasks require control of complex
dynamical systems that involve both costly data acquisition processes and large
state spaces. In cases where the transition dynamics can be readily evaluated
at specified states (e.g., via a simulator), agents can operate in what is
often referred to as planning with a \emph{generative model}. We propose the
AE-LSVI algorithm for best-policy identification, a novel variant of the
kernelized least-squares value iteration (LSVI) algorithm that combines
optimism with pessimism for active exploration (AE). AE-LSVI provably
identifies a near-optimal policy \emph{uniformly} over an entire state space
and achieves polynomial sample complexity guarantees that are independent of
the number of states. When specialized to the recently introduced offline
contextual Bayesian optimization setting, our algorithm achieves improved
sample complexity bounds. Experimentally, we demonstrate that AE-LSVI
outperforms other RL algorithms in a variety of environments when robustness to
the initial state is required. | [
0.025438379496335983,
0.013008063659071922,
-0.04138769954442978,
-0.06180142983794212,
-0.005900023505091667,
0.03447224199771881,
-0.018400369212031364,
0.03259894251823425,
-0.029044922441244125,
0.02797696553170681,
0.008254780434072018,
-0.0025779774878174067,
0.02809951826930046,
0.0013130615698173642,
0.04159779101610184,
0.04107256606221199,
-0.004713891074061394,
0.045729558914899826,
-0.005689933430403471,
-0.042333103716373444,
0.0052916379645466805,
-0.021446673199534416,
0.009891730733215809,
0.03109329752624035,
0.017026031389832497,
0.02764432318508625,
0.015214006416499615,
-0.0050903018563985825,
-0.05364294350147247,
0.022304538637399673,
0.04464409500360489,
0.028029488399624825,
-0.006972357165068388,
0.006609076634049416,
-0.0041427090764045715,
0.030918223783373833,
0.02753927744925022,
0.029972819611430168,
-0.04779544100165367,
0.06859433650970459,
0.031040776520967484,
0.0038516472559422255,
-0.0669836476445198,
-0.0037269063759595156,
0.007747063413262367,
-0.004035476129502058,
0.004941488616168499,
0.01271043624728918,
0.005759963300079107,
0.05266252160072327,
-0.057249486446380615,
-0.042473163455724716,
0.021849345415830612,
-0.033509332686662674,
-0.017026031389832497,
0.04607970640063286,
0.05290762707591057,
0.035522691905498505,
0.022654689848423004,
0.011633725836873055,
0.012439070269465446,
0.011257315054535866,
-0.09468049556016922,
0.03862151876091957,
0.01934577338397503,
-0.05693434923887253,
0.03494494408369064,
0.02550840936601162,
0.00955908838659525,
0.0029937804210931063,
-0.03177608922123909,
-0.00446659792214632,
-0.017253629863262177,
-0.0020078900270164013,
0.04373370483517647,
0.03447224199771881,
0.008858788758516312,
0.015870537608861923,
0.04600967839360237,
0.01701727882027626,
0.03447224199771881,
0.0044862935319542885,
-0.012526607140898705,
0.03547016903758049,
0.06425248086452484,
-0.020098594948649406,
0.02764432318508625,
-0.07157061249017715,
0.07167565822601318,
-0.011852568946778774,
-0.016115643084049225,
0.03088320791721344,
-0.023302465677261353,
-0.0047620367258787155,
0.0027508640196174383,
0.03401704877614975,
0.010600783862173557,
-0.02228703163564205,
-0.050421565771102905,
0.008740613237023354,
0.020763879641890526,
-0.06274683773517609,
-0.018943101167678833,
0.026366276666522026,
0.002917185192927718,
-0.03333425521850586,
-0.07962405681610107,
0.009322737343609333,
0.0025298320688307285,
0.15308547019958496,
-0.0008781099459156394,
-0.022252017632126808,
-0.027276664972305298,
0.012622898444533348,
-0.05826491862535477,
-0.016176918521523476,
-0.02004607394337654,
-0.03820133954286575,
0.06085602566599846,
-0.027154114097356796,
0.013445750810205936,
0.0825653150677681,
0.042017970234155655,
-0.06320203095674515,
-0.01784888282418251,
0.009926745668053627,
0.014951394870877266,
0.04958120360970497,
0.02372264675796032,
0.054658375680446625,
-0.030130386352539062,
-0.020553790032863617,
0.02596360445022583,
0.013034324161708355,
-0.03356185555458069,
0.008653075434267521,
0.013078093528747559,
-0.02706657536327839,
0.03163602948188782,
-0.024090303108096123,
-0.017927667126059532,
-0.03571527451276779,
-0.030638104304671288,
-0.0011193850077688694,
0.051086850464344025,
-0.0007320318254642189,
0.013568302616477013,
0.0315835066139698,
-0.04607970640063286,
0.01476756576448679,
-0.014426169916987419,
0.027329187840223312,
-0.009944252669811249,
0.04758535325527191,
0.02697903849184513,
0.012885510921478271,
-0.058475010097026825,
-0.008049067109823227,
0.052767567336559296,
-0.00015879838610999286,
0.05024648830294609,
-0.00459133880212903,
0.017192352563142776,
0.0629219114780426,
0.06229164078831673,
0.035522691905498505,
-0.007519465871155262,
-0.03023543208837509,
-0.03540014103055,
0.04534439370036125,
0.008070952259004116,
-0.024703064933419228,
-0.04159779101610184,
0.0009224257664754987,
0.002215791493654251,
0.027924442663788795,
0.0779433324933052,
-0.013988482765853405,
0.029290026053786278,
0.015406589023768902,
0.009786685928702354,
0.026926515623927116,
-0.006096982397139072,
0.08844783157110214,
0.039671968668699265,
0.03198618069291115,
0.0861368402838707,
-0.045169319957494736,
0.043348539620637894,
-0.01778760738670826,
0.008180373348295689,
0.007375029381364584,
0.030953237786889076,
-0.03504998981952667,
0.00045546822366304696,
-0.01834784634411335,
0.005322276148945093,
0.022076942026615143,
-0.020273670554161072,
0.009839207865297794,
0.024125318974256516,
-0.03237134590744972,
0.01308684702962637,
0.04506427422165871,
-0.014286110177636147,
-0.0048451973125338554,
0.032966598868370056,
0.01706104725599289,
0.004440336488187313,
-0.08690717071294785,
0.016010597348213196,
-0.028029488399624825,
-0.06691361963748932,
-0.05315273255109787,
-0.01845289207994938,
-0.021079014986753464,
-0.030025340616703033,
0.04096752032637596,
0.001256162184290588,
-0.04734024778008461,
0.005773094017058611,
0.010224373079836369,
0.04009214788675308,
-0.009051371365785599,
-0.014995163306593895,
0.011975121684372425,
0.049090996384620667,
-0.029167475178837776,
0.0922294482588768,
-0.013349459506571293,
0.031023267656564713,
0.026663903146982193,
0.0387265644967556,
0.02438792958855629,
0.0012528796214610338,
0.017901405692100525,
0.04138769954442978,
0.018855564296245575,
0.05900023505091667,
-0.06096107140183449,
-0.02251463010907173,
-0.02148168720304966,
-0.019380789250135422,
-0.005212854593992233,
0.016509560868144035,
-0.023757660761475563,
0.00934899877756834,
0.01980096846818924,
0.1054651066660881,
0.05805483087897301,
-0.044153884053230286,
-0.04310343414545059,
-0.01650080643594265,
-0.015362820588052273,
-0.0026786455418914557,
0.014198572374880314,
0.04653490334749222,
-0.05570882558822632,
-0.020238656550645828,
0.016929740086197853,
0.03366689756512642,
0.017157338559627533,
0.018855564296245575,
0.058930203318595886,
-0.058930203318595886,
0.0022092261351644993,
0.0743718072772026,
-0.013034324161708355,
-0.015511633828282356,
0.027154114097356796,
-0.05178714916110039,
-0.02214697189629078,
-0.004849574062973261,
0.05045657977461815,
0.001680718851275742,
-0.02002856507897377,
-0.02683897875249386,
0.0043024648912250996,
0.032178763300180435,
-0.002475121058523655,
0.01086339633911848,
-0.01102971751242876,
0.01762128621339798,
0.03981202840805054,
-0.0031929281540215015,
-0.052522461861371994,
-0.03806127980351448,
-0.032756511121988297,
-0.045134302228689194,
0.027574293315410614,
-0.018382862210273743,
0.028887353837490082,
-0.02519327402114868,
0.019941028207540512,
-0.005204100627452135,
0.019660908728837967,
-0.039671968668699265,
-0.013673348352313042,
0.034524764865636826,
-0.010635798797011375,
0.0007643112330697477,
0.041002534329891205,
0.021079014986753464,
0.0662483349442482,
-0.006731628905981779,
-0.004306842107325792,
-0.046149738132953644,
0.020308686420321465,
0.03583782911300659,
-0.011099747382104397,
-0.035207558423280716,
0.02092144824564457,
0.0147763192653656,
-0.052312374114990234,
0.03426215425133705,
0.055568765848875046,
0.06222161278128624,
-0.003958880435675383,
-0.038901638239622116,
0.0001585248246556148,
0.02762681618332863,
0.05542870610952377,
-0.03545266389846802,
0.014181065373122692,
-0.0045607006177306175,
-0.039216771721839905,
0.04275328665971756,
0.007628887891769409,
0.010889657773077488,
0.008123474195599556,
-0.008972587063908577,
-0.011826307512819767,
-0.08907809853553772,
0.007602626457810402,
0.061276208609342575,
-0.04898595064878464,
0.002076825825497508,
0.013104354962706566,
-0.022654689848423004,
-0.0547984354197979,
0.029675191268324852,
-0.03512002155184746,
-0.0009579878533259034,
0.007103662937879562,
0.006451509427279234,
-0.044504035264253616,
-0.04863579943776131,
0.002249712124466896,
-0.04366367310285568,
0.008000921458005905,
0.0009268026333302259,
-0.026873992756009102,
0.018645474687218666,
-0.03319419547915459,
0.03918175771832466,
-0.046394843608140945,
-0.0024838747922331095,
0.011843815445899963,
-0.02865975722670555,
0.0057862247340381145,
0.04713015630841255,
-0.0389716662466526,
-0.06645842641592026,
0.0364505909383297,
-0.04439898952841759,
0.05395807698369026,
-0.01880304142832756,
0.03401704877614975,
-0.024598021060228348,
0.002391960471868515,
-0.003628426929935813,
-0.013454504311084747,
0.03942686319351196,
-0.0020407165866345167,
-0.022339554503560066,
0.020238656550645828,
-0.03153098374605179,
-0.00519972387701273,
-0.008604929782450199,
0.03974199667572975,
-0.003724718000739813,
0.028782309964299202,
-0.027819398790597916,
0.00752821983769536,
0.024422945454716682,
0.04065238684415817,
0.010985948145389557,
0.001569108571857214,
0.01834784634411335,
0.0240727961063385,
0.03526008129119873,
-0.06915457546710968,
-0.012228979729115963,
-0.02158673293888569,
0.022654689848423004,
0.0014246718492358923,
0.047060128301382065,
-0.07556231319904327,
-0.02149919420480728,
0.007151808589696884,
0.026926515623927116,
-0.01913568377494812,
-0.018557937815785408,
0.017822623252868652,
-0.027469247579574585,
0.011563695967197418,
-0.03760608285665512,
-0.02158673293888569,
0.0228122565895319,
-0.006635338068008423,
0.0389716662466526,
-0.05080673098564148,
-0.040337253361940384,
0.007147431839257479,
0.020186133682727814,
0.008517392911016941,
-0.009331490844488144,
-0.020536283031105995,
0.03820133954286575,
-0.009261460974812508,
0.005615526810288429,
-0.002152326749637723,
0.050421565771102905,
0.026944024488329887,
-0.026051141321659088,
0.028782309964299202,
0.023354988545179367,
-0.027574293315410614,
-0.035767797380685806,
-0.009830454364418983,
0.053888048976659775,
0.034734856337308884,
0.024422945454716682,
-0.030077863484621048,
-0.0008381709922105074,
0.03970698267221451,
-0.03858650103211403,
0.01425984874367714,
0.030638104304671288,
-0.09370007365942001,
-0.019083160907030106,
-0.03680073842406273,
-0.02069384977221489,
-0.0003372927021700889,
0.03603040799498558,
-0.036415573209524155,
-0.029517624527215958,
-0.01208016648888588,
-0.0004437053867150098,
-0.015607925131917,
-0.05865008383989334,
0.05269753932952881,
-0.028117025271058083,
-0.03137341886758804,
0.02528081275522709,
-0.0008337941253557801,
0.018995624035596848,
-0.006814789492636919,
0.049406129866838455,
-0.009541580453515053,
0.031058283522725105,
-0.0015133034903556108,
0.04495922848582268,
-0.0675438866019249,
-0.01836535520851612,
0.03067311830818653,
0.006876065861433744,
-0.023880213499069214,
-0.0019225409487262368,
0.029255012050271034,
0.048180606216192245,
-0.06134623661637306,
0.02571849897503853,
0.024125318974256516,
-0.0010942179942503572,
0.039216771721839905,
-0.013069340027868748,
-0.007690163794904947,
0.020536283031105995,
-0.02930753491818905,
0.025333335623145103,
-0.05441327020525932,
0.03221377730369568,
-0.04720018804073334,
0.049721263349056244,
0.02214697189629078,
0.04394379258155823,
0.0231799129396677,
-0.0018043654272332788,
-0.009874222800135612,
-0.059945639222860336,
-0.015152730979025364,
-0.014443676918745041,
0.03925178572535515,
0.020903941243886948,
-0.0020396222826093435,
0.03469984233379364,
-0.013235660269856453,
0.05721446871757507,
0.04131767153739929,
0.010364432819187641,
-0.0096816411241889,
-0.0644625723361969,
0.00372252962552011,
0.02683897875249386,
0.006884819362312555,
0.02081640250980854,
-0.010206865146756172,
0.041807882487773895,
-0.029255012050271034,
0.004173347260802984,
-0.00806219782680273,
0.01845289207994938,
-0.020851418375968933,
0.04320847988128662,
0.05616401880979538,
0.0010214524809271097,
0.012614144943654537,
0.07962405681610107,
-0.011152269318699837,
-0.013279429636895657,
-0.004639484453946352,
0.021236581727862358,
-0.006005068309605122,
-0.030480535700917244,
0.05896521732211113,
0.07514213770627975,
-0.030463028699159622,
0.01488136500120163,
0.005536742974072695,
-0.026611382141709328,
0.016754666343331337,
-0.05059663951396942,
-0.043348539620637894,
-0.04107256606221199,
-0.0265063364058733,
0.033404286950826645,
0.037991248071193695,
0.008206634782254696,
-0.02696153149008751,
-0.0345422737300396,
0.019660908728837967,
0.05262750759720802,
0.0018525110790506005,
-0.011598710902035236,
-0.021849345415830612,
0.02999032661318779,
0.03655563294887543,
0.022584659978747368,
0.049966368824243546,
-0.006530292797833681,
-0.00654780026525259,
-0.019100669771432877,
-0.004923980683088303,
-0.017840130254626274,
-0.00814535841345787,
-0.024037780240178108,
-0.01208016648888588,
-0.025245796889066696,
-0.037431009113788605,
0.010128081776201725,
-0.00788712315261364,
0.0050640408881008625,
-0.007234969176352024,
-0.007392536848783493,
-0.010084313340485096,
0.03869154676795006,
0.033964525908231735,
0.0024488598573952913,
-0.011546188034117222,
-0.050071414560079575,
-0.0006368348840624094,
0.002521078335121274,
-0.04177286475896835,
0.03203870356082916,
0.0088500352576375,
-0.000904371147044003,
-0.011117254383862019,
-0.04198295623064041,
-0.060260772705078125,
0.00017548521282151341,
-0.02339000441133976,
0.03140843287110329,
0.04338355362415314,
0.01074959710240364,
-0.06544298678636551,
-0.029850266873836517,
-0.03722091764211655,
0.0055848886258900166,
-0.0009361034608446062,
-0.03450725972652435,
0.03886662423610687,
-0.01476756576448679,
0.0014356139581650496,
-0.01801520399749279,
0.0032366968225687742,
0.015721723437309265,
-0.028046995401382446,
0.043243493884801865,
-0.03301912173628807,
0.01857544481754303,
0.0035956003703176975,
0.0056943101808428764,
0.001562543329782784,
-0.0031360287684947252,
0.01615065708756447,
0.06806911528110504,
0.0611361488699913,
0.024650542065501213,
-0.0009809663752093911,
-0.02395024336874485,
-0.009305229410529137,
0.005891269538551569,
-0.04261322692036629,
0.031513478606939316,
-0.009156416170299053,
0.012797973118722439,
0.040897492319345474,
0.028397144749760628,
0.01589679904282093,
0.007768947631120682,
-0.00990048423409462,
0.0015975582646206021,
-0.043488599359989166,
0.008832527324557304,
-0.008416724391281605,
-0.005243492778390646,
-0.0350324846804142,
-0.008653075434267521,
0.007817093282938004,
0.014907625503838062,
0.011633725836873055,
-0.04243814945220947,
-0.01957337185740471,
-0.019993551075458527,
-0.014364893548190594,
0.008731859736144543,
0.06645842641592026,
0.023354988545179367,
0.010128081776201725,
-0.03837641328573227,
-0.012771712616086006,
0.011318590492010117,
0.0092351995408535,
0.00021911715157330036,
0.030042849481105804,
0.003976388368755579,
-0.036415573209524155,
0.04282331466674805,
0.028939876705408096,
0.00020913241314701736,
0.02494817040860653,
0.027451740577816963,
0.04523934796452522,
-0.019748445600271225,
0.0063727255910634995,
0.045274361968040466,
-0.006184520199894905,
-0.021639253944158554,
-0.033982034772634506,
0.028484681621193886,
0.023582585155963898,
-0.004696383606642485,
0.03928680345416069,
0.0258585587143898,
0.023302465677261353,
0.058369964361190796,
0.027889428660273552,
0.0028931123670190573,
0.07710297405719757,
-0.031618524342775345,
-0.020903941243886948,
-0.015205252915620804,
0.016054365783929825,
0.05549873784184456,
-0.03886662423610687,
-0.01192259881645441,
0.024457959458231926,
0.01187007687985897,
-0.029062429443001747,
-0.03455977886915207,
0.017822623252868652,
0.0088193966075778,
0.0011806611437350512,
0.013857176527380943,
-0.013804653659462929,
0.01753374934196472,
0.0063727255910634995,
-0.0514720156788826,
0.027504263445734978,
-0.07227090746164322,
-0.012692928314208984,
0.02214697189629078,
-0.03270398825407028,
0.04159779101610184,
-0.004858328029513359,
-0.02158673293888569,
-0.0036481227725744247,
-0.0005211213137954473,
0.023092376068234444,
-0.04632481187582016,
-0.0009262555395253003,
0.00030090994550846517,
0.0387265644967556,
0.06278184801340103,
-0.003527758875861764,
0.03231882303953171,
0.03144344687461853,
-0.008788758888840675,
0.011397374793887138,
-0.0068191662430763245,
0.05647915601730347,
0.0010816344292834401,
0.05178714916110039,
0.04653490334749222,
-0.007873992435634136,
0.03771112859249115,
0.006167012732475996,
-0.012158949859440327,
0.04744529351592064,
0.05854503810405731,
0.0066178301349282265,
-0.012167704291641712,
-0.06841926276683807,
-0.014076020568609238,
0.02851969748735428,
0.017087308689951897,
-0.007602626457810402,
0.020186133682727814,
-0.005029025953263044,
0.012806727550923824,
-0.008066575042903423,
-0.010390694253146648,
0.013051832094788551,
0.040337253361940384,
-0.01085464283823967,
-0.024545498192310333,
-0.008771250955760479,
-0.03578530624508858,
-0.008692467585206032,
0.044924214482307434,
-0.012824234552681446,
0.03076065517961979,
-0.008898180909454823,
-0.039671968668699265,
0.03132089599967003,
-0.012684174813330173,
0.00789587665349245,
-0.006460262928158045,
0.0017682563047856092,
0.046289797872304916,
0.03991707041859627,
0.01639576256275177,
-0.00788712315261364,
-0.034752361476421356,
-0.008679336868226528,
0.05710942670702934,
-0.015966828912496567,
0.03659065067768097,
-0.0014356139581650496,
0.02428288571536541,
0.038761578500270844,
0.053993090987205505,
0.008316056802868843,
0.001624913653358817,
-0.009646625258028507,
0.008316056802868843,
0.015914306044578552,
0.03202119469642639,
-0.01967841573059559,
0.01925823651254177,
0.01538908202201128,
0.00046230709995143116,
-0.03907671198248863,
-0.0003058339352719486,
0.0302004162222147,
0.0027836905792355537,
0.00955908838659525,
0.009847961366176605,
-0.0035102511756122112,
-0.0051647089421749115,
0.00046695751370862126,
-0.04142271727323532,
0.024020273238420486,
-0.03469984233379364,
0.009025109931826591,
-0.03476987034082413,
-0.01039944775402546,
0.0476553812623024,
-0.01556415669620037,
-0.008000921458005905,
0.0004710608336608857,
-0.0073137530125677586,
-0.002954388502985239,
-0.012649159878492355,
0.025700991973280907,
-0.0007101474911905825,
-0.028624743223190308,
-0.006044459994882345,
-0.03599539399147034,
-0.023337481543421745,
0.014032251201570034,
-0.027714353054761887,
0.02851969748735428,
-0.017813868820667267,
-0.025368349626660347,
0.006066344678401947,
0.01140612829476595,
0.03403455764055252,
-0.016588345170021057,
0.0023460034281015396,
0.012622898444533348,
0.0008135510724969208,
-0.018435385078191757,
0.02988528087735176,
-0.03482239320874214,
-0.010285649448633194,
0.040687400847673416,
0.0016730593051761389,
-0.03142594173550606,
-0.01892559416592121,
-0.0018142134649679065,
-0.03795623406767845,
0.0017091685440391302,
-0.031023267656564713,
-0.03254641965031624,
0.0035321356263011694,
0.022129464894533157,
0.004365929868072271,
-0.008088459260761738,
0.0407574325799942,
0.04961622133851051,
-0.005816862918436527,
0.036310531198978424,
-0.02808200940489769,
0.046604931354522705,
-0.024545498192310333,
-0.0014553099172189832,
0.023425018414855003,
0.05150702968239784,
0.041002534329891205,
0.0031710437033325434,
0.016360746696591377,
-0.011257315054535866,
0.009497812017798424,
-0.0023722646292299032,
-0.00511656329035759,
0.0021610804833471775,
-0.051191892474889755,
-0.03335176408290863,
0.0007052234723232687,
-0.001267104409635067,
0.028922369703650475,
-0.026716426014900208,
-0.011003456078469753,
0.01527528278529644,
0.00022554567840415984,
0.01276295818388462,
-0.01186132337898016,
-0.03077816404402256,
-0.02496567741036415,
0.025560932233929634,
0.010119328275322914,
-0.01674591191112995,
0.04832066595554352,
0.028484681621193886,
0.03032296895980835,
-0.03314167261123657,
-0.02438792958855629,
-0.07430177927017212,
-0.022339554503560066,
0.019433312118053436,
-0.0366956926882267,
0.055218614637851715,
-0.008937572129070759,
0.03785118833184242,
0.015161484479904175,
0.007738309446722269,
0.01718359999358654,
-0.04005713015794754,
-0.045484453439712524,
0.029132459312677383,
0.03364939242601395,
-0.05647915601730347,
0.05448330193758011,
0.013918452896177769,
-0.026103664189577103,
-0.03704584389925003,
0.03613545373082161,
-0.009594103321433067,
0.0046876296401023865,
-0.002575789112597704,
-0.0349099300801754,
0.027959458529949188,
0.02135913446545601,
0.02127159759402275,
0.013174384832382202,
-0.017630040645599365,
0.015222760848701,
0.034874916076660156,
-0.025228289887309074,
-0.017446210607886314,
0.006552177481353283,
0.0028077634051442146,
-0.011090993881225586,
-0.04653490334749222,
0.0400221161544323,
0.022549644112586975,
0.020728865638375282,
0.013988482765853405,
0.050736699253320694,
-0.025578439235687256,
0.04222806170582771,
-0.021516703069210052,
0.028134532272815704,
0.007340014446526766,
-0.013226906768977642,
-0.051857177168130875,
0.013060585595667362,
-0.006814789492636919,
0.02517576701939106,
0.008088459260761738,
0.011624971404671669,
0.021884359419345856,
-0.020676342770457268,
-0.008801889605820179,
0.00825915765017271,
0.04037226736545563,
0.026383783668279648,
0.019223220646381378,
-0.07073024660348892,
0.020501267164945602,
0.020343700423836708,
0.02148168720304966,
0.0530126728117466,
0.01241280883550644,
-0.018960610032081604,
-0.02899239957332611,
-0.022689703851938248,
0.028677264228463173,
-0.040232207626104355,
-0.017918914556503296,
0.0013349459040910006,
0.0004921245272271335,
0.008499884977936745,
-0.03401704877614975,
0.010898411273956299,
0.0016227252781391144,
-0.019538355991244316,
0.004127390217036009,
0.013690855354070663,
0.009506565518677235,
0.010460724122822285,
0.0015570721589028835,
-0.00025454245042055845,
-0.024020273238420486,
0.0028471550904214382,
-0.03067311830818653,
-0.027224143967032433,
0.07500207424163818,
-0.03445473685860634,
-0.014452431350946426,
-0.010259388014674187,
-0.0037509792018681765,
-0.011931353248655796,
0.004556323867291212,
-0.04282331466674805,
0.018487906083464622,
-0.02741672657430172,
0.0020439992658793926,
-0.013577057048678398,
0.010898411273956299,
0.007882745936512947,
-0.003823197679594159,
0.03781617432832718,
-0.0158530306071043,
-0.0275217704474926,
-0.00635521812364459,
-0.028117025271058083,
0.0012681985972449183,
0.04226307570934296,
-0.020116103813052177,
0.01622944138944149,
-0.011598710902035236,
0.030182909220457077,
-0.07199078798294067,
-0.0045869615860283375,
-0.00033318938221782446,
0.005563004408031702,
0.011887583881616592,
-0.025000693276524544,
0.016316978260874748,
0.012281502597033978,
-0.035627737641334534,
-0.058790143579244614,
-0.025245796889066696,
-0.02899239957332611,
0.006967979948967695,
0.061486296355724335,
0.017306150868535042,
-0.02818705514073372,
-0.024668050929903984,
0.020343700423836708,
0.06642340868711472,
0.03021792322397232,
0.0176387932151556,
0.06740383058786392,
-0.012281502597033978,
-0.017262382432818413,
-0.0017726331716403365,
-0.022637180984020233,
-0.015301544219255447,
0.01371711678802967,
0.0063727255910634995,
-0.015704216435551643,
0.022777240723371506,
-0.005011518485844135,
0.025893574580550194,
0.03198618069291115,
-0.0352775864303112,
0.029902789741754532,
-0.028484681621193886,
-0.04159779101610184,
-0.03021792322397232
] |
There is significant interest in deploying machine learning algorithms for
diagnostic radiology, as modern learning techniques have made it possible to
detect abnormalities in medical images within minutes. While machine-assisted
diagnoses cannot yet reliably replace human reviews of images by a radiologist,
they could inform prioritization rules for determining the order by which to
review patient cases so that patients with time-sensitive conditions could
benefit from early intervention.
We study this scenario by formulating it as a learning-augmented online
scheduling problem. We are given information about each arriving patient's
urgency level in advance, but these predictions are inevitably error-prone. In
this formulation, we face the challenges of decision making under imperfect
information, and of responding dynamically to prediction error as we observe
better data in real-time. We propose a simple online policy and show that this
policy is in fact the best possible in certain stylized settings. We also
demonstrate that our policy achieves the two desiderata of online algorithms
with predictions: consistency (performance improvement with prediction
accuracy) and robustness (protection against the worst case). We complement our
theoretical findings with empirical evaluations of the policy under settings
that more accurately reflect clinical scenarios in the real world. | [
-0.0188959501683712,
0.04460742697119713,
-0.02360190823674202,
0.006351239047944546,
0.04806927964091301,
0.012819676660001278,
-0.04655471816658974,
0.02917332947254181,
-0.0072662862949073315,
0.0010677429381757975,
0.020482633262872696,
-0.026468755677342415,
-0.009064828045666218,
-0.03276139497756958,
-0.005269410088658333,
0.011818984523415565,
0.001573160057887435,
0.031174713745713234,
-0.0048276628367602825,
-0.024773890152573586,
-0.005918507464230061,
-0.002600897802039981,
0.01124200876802206,
0.014271130785346031,
0.01045768242329359,
0.027298158034682274,
0.0292995423078537,
-0.00827148649841547,
-0.0374673530459404,
0.03696249797940254,
0.031751688569784164,
0.05816635116934776,
0.0044107078574597836,
-0.07060738652944565,
-0.034762781113386154,
-0.015686525031924248,
0.0022707146126776934,
0.019653230905532837,
0.01468583196401596,
0.0374673530459404,
-0.000399206270230934,
0.00723022548481822,
0.013838399201631546,
-0.01349581964313984,
0.021510371938347816,
-0.0650179386138916,
-0.06350337713956833,
0.00393064646050334,
-0.01950898766517639,
-0.022808566689491272,
-0.010980566963553429,
-0.020771121606230736,
0.019076256081461906,
-0.048790499567985535,
-0.06105123087763786,
-0.010719125159084797,
0.01235989946871996,
0.010304423980414867,
0.06368368119001389,
0.02261023223400116,
-0.02347569540143013,
-0.011178902350366116,
-0.03285154700279236,
0.010881398804485798,
0.05484874173998833,
-0.053694792091846466,
-0.011674740351736546,
0.046518657356500626,
0.015911905094981194,
0.010854353196918964,
-0.047672610729932785,
-0.059392426162958145,
-0.0008756055613048375,
-0.005562405567616224,
-0.0093668382614851,
-0.007685495540499687,
-0.021023549139499664,
0.0349070243537426,
-0.01827389933168888,
-0.01732729934155941,
0.05517329275608063,
0.04071284085512161,
-0.011440344154834747,
0.02206931635737419,
0.0755838006734848,
-0.04615804925560951,
0.035465970635414124,
-0.07839655876159668,
0.03786402568221092,
0.03829675540328026,
-0.029515909031033516,
0.012693462893366814,
0.01695767417550087,
0.02161855436861515,
0.034059591591358185,
-0.014343253336846828,
-0.004485083743929863,
-0.00048316072206944227,
-0.010088058188557625,
-0.035213541239500046,
-0.0086861876770854,
-0.04543682932853699,
-0.045400768518447876,
0.018751706928014755,
0.03052561543881893,
-0.03753947466611862,
-0.033067915588617325,
-0.00633320864289999,
0.02744240127503872,
0.13919536769390106,
-0.025963902473449707,
-0.01231482345610857,
-0.007108519785106182,
-0.03449232131242752,
-0.07057132571935654,
-0.04457136616110802,
-0.05142294988036156,
-0.041109513491392136,
0.025981932878494263,
-0.001596825080923736,
0.01741745136678219,
0.042515888810157776,
-0.03561021387577057,
0.06379186362028122,
-0.05618299916386604,
0.0736365094780922,
0.04028010740876198,
0.00932176224887371,
0.03346458449959755,
0.019130347296595573,
0.03308594599366188,
0.01336960680782795,
-0.03804432973265648,
-0.05755331739783287,
0.016966689378023148,
0.05102628096938133,
0.04201103746891022,
0.009114411659538746,
-0.01460469514131546,
0.016038117930293083,
-0.011782923713326454,
-0.01629956066608429,
-0.023655999451875687,
-0.03959495201706886,
0.0357183963060379,
0.023097055032849312,
0.008627587929368019,
0.03981131687760353,
-0.05405540019273758,
0.04208315908908844,
-0.06847979128360748,
-0.00397121487185359,
-0.043633781373500824,
0.017507603392004967,
0.056255120784044266,
0.009150472469627857,
0.0092857014387846,
-0.027424370869994164,
0.007311362773180008,
-0.02327735908329487,
0.05921212211251259,
-0.010214271023869514,
0.0014852613676339388,
0.05178356170654297,
0.008893538266420364,
0.012576265260577202,
-0.002612166805192828,
-0.03074198216199875,
-0.08301236480474472,
0.029155299067497253,
-0.05272114649415016,
-0.008343608118593693,
-0.010178210213780403,
-0.0005707776290364563,
-0.016822444275021553,
0.08957546204328537,
0.026919517666101456,
0.012278761714696884,
-0.016642140224575996,
-0.017814122140407562,
-0.03216639161109924,
0.03256306052207947,
-0.008388684131205082,
-0.002657243050634861,
0.04410257190465927,
0.02376418188214302,
0.06685704737901688,
-0.020951425656676292,
0.03699855878949165,
0.02978636510670185,
-0.02520662173628807,
0.018787767738103867,
0.06938131898641586,
-0.0038202095311135054,
0.0007770013180561364,
-0.05178356170654297,
0.007730571553111076,
-0.041109513491392136,
0.02318720705807209,
-0.026847396045923233,
-0.0461219884455204,
-0.05228841304779053,
0.03167956694960594,
0.02616223692893982,
-0.006202487740665674,
-0.0329957939684391,
0.04799715802073479,
-0.06303458660840988,
0.017047826200723648,
-0.04154224321246147,
-0.027658767998218536,
-0.0034393155947327614,
-0.029570000246167183,
-0.019400805234909058,
-0.02261023223400116,
-0.033320341259241104,
0.01450552698224783,
-0.005670588463544846,
-0.00850137509405613,
-0.02504434809088707,
0.025693444535136223,
0.053117815405130386,
0.03461853787302971,
-0.048538073897361755,
0.02888484112918377,
0.0038562705740332603,
0.01642577350139618,
0.02681133523583412,
0.017300253733992577,
-0.015506219118833542,
-0.04266013205051422,
-0.003567782696336508,
0.04082102328538895,
0.02475585974752903,
-0.016642140224575996,
-0.032328665256500244,
0.0019788460340350866,
-0.03368094936013222,
-0.009109904058277607,
-0.033608827739953995,
0.0009646310936659575,
-0.02491813339293003,
-0.014785000123083591,
0.016263499855995178,
0.021257944405078888,
0.011791938915848732,
-0.009357823058962822,
0.05030506104230881,
0.09916768223047256,
0.022249622270464897,
-0.002316917758435011,
-0.061339717358350754,
-0.0280193779617548,
-0.03029121831059456,
-0.04410257190465927,
0.011260039173066616,
0.02488207258284092,
-0.05008869618177414,
0.014821060933172703,
0.009339792653918266,
0.05095415934920311,
0.01657903380692005,
0.02136612869799137,
0.055678144097328186,
-0.013126195408403873,
-0.03894585371017456,
0.09722039103507996,
0.04716775566339493,
0.005864416249096394,
0.028452109545469284,
-0.03387928754091263,
-0.039054036140441895,
-0.007969475351274014,
-0.059356365352869034,
-0.03238275647163391,
-0.07976687699556351,
-0.008988197892904282,
-0.003457345999777317,
0.01446045096963644,
0.016479866579174995,
-0.004823155235499144,
0.027550585567951202,
0.033446554094552994,
-0.02834392711520195,
-0.036169156432151794,
-0.008699710480868816,
0.018300944939255714,
-0.014703862369060516,
-0.058779388666152954,
-0.003761610481888056,
0.018787767738103867,
-0.05073779076337814,
-0.006130365654826164,
0.004656373523175716,
0.07031890004873276,
0.03515945002436638,
-0.023115085437893867,
-0.04352559521794319,
-0.007640419062227011,
0.03314003720879555,
-0.023259328678250313,
-0.019743384793400764,
0.016858505085110664,
0.03629537299275398,
0.02136612869799137,
-0.014712877571582794,
-0.001476246165111661,
0.036403555423021317,
0.008587019518017769,
-0.010051996447145939,
-0.012765585444867611,
0.0044873375445604324,
0.008005536161363125,
0.004352109041064978,
0.041902851313352585,
0.04943959787487984,
-0.015064472332596779,
0.004074890166521072,
0.026468755677342415,
-0.025278743356466293,
0.01823783852159977,
-0.016687216237187386,
-0.02446737140417099,
0.002641466446220875,
-0.03561021387577057,
-0.045400768518447876,
0.02104157954454422,
0.012927860021591187,
-0.07017465680837631,
0.03176971897482872,
-0.03768371790647507,
0.012278761714696884,
-0.059897281229496,
-0.00032426705001853406,
0.021348096430301666,
-0.027821041643619537,
-0.024846011772751808,
0.04287650063633919,
0.01188209094107151,
-0.019689291715621948,
0.011954213492572308,
-0.051134463399648666,
-0.008650126866996288,
0.003910361789166927,
0.00044653628719970584,
-0.004219133872538805,
-0.033933378756046295,
0.024647677317261696,
-0.008789862506091595,
-0.046194110065698624,
0.001173108583316207,
-0.0173723753541708,
-0.020735060796141624,
0.02843407914042473,
-0.00279021798633039,
-0.013270438648760319,
0.0046518659219145775,
-0.013856429606676102,
-0.01934671401977539,
-0.026504816487431526,
0.016759337857365608,
-0.07309559732675552,
-0.04601380601525307,
-0.026703152805566788,
-0.04781685397028923,
0.03869342803955078,
0.00044850839185528457,
0.013649079017341137,
-0.02343963459134102,
-0.013477789238095284,
-0.0093668382614851,
0.04028010740876198,
0.0531538762152195,
-0.010214271023869514,
-0.011665725149214268,
0.005630019586533308,
0.012089441530406475,
0.02587375044822693,
-0.03977525606751442,
0.017687907442450523,
-0.0694895014166832,
0.01699373498558998,
-0.07962263375520706,
0.0105658657848835,
0.002393547212705016,
0.03052561543881893,
-0.015776677057147026,
-0.0698140487074852,
-0.018499279394745827,
0.06905676424503326,
0.016723277047276497,
-0.015984026715159416,
0.04745624214410782,
-0.038477059453725815,
0.018057532608509064,
0.015524249523878098,
0.06552278995513916,
0.00003208158886991441,
0.046735022217035294,
-0.02042854204773903,
-0.01157557312399149,
-0.030020762234926224,
0.01308111846446991,
0.061375778168439865,
-0.042515888810157776,
-0.011070718988776207,
-0.03840493783354759,
-0.02843407914042473,
0.018968073651194572,
-0.016200393438339233,
0.014866136945784092,
0.0002312973520020023,
0.034438230097293854,
-0.014117871411144733,
0.00011656428250716999,
0.051242645829916,
-0.019400805234909058,
-0.002515252912417054,
-0.018968073651194572,
-0.042515888810157776,
-0.032076235860586166,
0.018454203382134438,
0.03692643716931343,
-0.00422814954072237,
0.02430509775876999,
0.06454914808273315,
-0.011999289505183697,
-0.003829224733635783,
0.00361511274240911,
-0.0013207332231104374,
0.035880669951438904,
0.042840439826250076,
-0.03341049328446388,
-0.011837014928460121,
0.005323501303792,
0.07630502432584763,
0.010683064348995686,
0.0019630694296211004,
-0.059933342039585114,
-0.014703862369060516,
0.010619957000017166,
-0.002819517394527793,
-0.062277305871248245,
0.017832152545452118,
-0.043958328664302826,
-0.03651173785328865,
0.051603253930807114,
0.04550895094871521,
-0.03341049328446388,
0.02334948070347309,
-0.060005463659763336,
-0.0018864397425204515,
-0.062205180525779724,
0.0016238708049058914,
0.007973982952535152,
0.02500828541815281,
-0.022808566689491272,
-0.08178628981113434,
-0.006017675157636404,
0.01460469514131546,
0.009871692396700382,
0.043958328664302826,
-0.004534667823463678,
-0.007780155166983604,
-0.0009206817485392094,
0.015686525031924248,
-0.06573915481567383,
-0.054488133639097214,
0.04998051002621651,
0.009565173648297787,
-0.03247290849685669,
-0.042588010430336,
-0.05553390085697174,
-0.01931065134704113,
0.07226619124412537,
-0.054271768778562546,
-0.044787731021642685,
-0.033933378756046295,
-0.01547015830874443,
-0.058274537324905396,
-0.008961152285337448,
-0.0187336765229702,
0.007054428104311228,
-0.00778917083516717,
-0.003986991476267576,
0.009249639697372913,
-0.0013083372032269835,
0.019779445603489876,
-0.016984719783067703,
-0.008077658712863922,
-0.03768371790647507,
-0.028956962749361992,
-0.021636584773659706,
-0.03317609801888466,
0.01684047468006611,
-0.003574544098228216,
0.004440007731318474,
-0.04745624214410782,
0.03858524188399315,
0.028289835900068283,
0.0350692979991436,
-0.0037413262762129307,
-0.005084597505629063,
-0.029119238257408142,
-0.061916694045066833,
-0.009601234458386898,
0.03984737768769264,
-0.05484874173998833,
-0.02789316512644291,
-0.014983335509896278,
0.03890979290008545,
0.03378913551568985,
0.028650444000959396,
0.012738539837300777,
0.04687926918268204,
0.06440490484237671,
0.04752836376428604,
0.008275994099676609,
0.025350864976644516,
0.027712859213352203,
0.033807165920734406,
0.00839769933372736,
-0.023583877831697464,
0.06069062277674675,
-0.08907061070203781,
0.011169887147843838,
0.03465459868311882,
-0.03342852368950844,
0.020230207592248917,
0.01642577350139618,
-0.03743129223585129,
0.05117052420973778,
-0.031120620667934418,
-0.008478837087750435,
-0.02863241359591484,
0.013018012046813965,
0.029948640614748,
0.02508040890097618,
-0.0037030114326626062,
-0.05373085290193558,
-0.04060465842485428,
0.025441018864512444,
0.04431893676519394,
-0.03696249797940254,
-0.013658094219863415,
0.033031854778528214,
0.01188209094107151,
-0.015731601044535637,
-0.01367612462490797,
-0.012810661457479,
-0.04839382693171501,
-0.005760740954428911,
-0.003364939708262682,
0.0027226037345826626,
-0.0634312555193901,
-0.008884523063898087,
-0.010088058188557625,
-0.04168648645281792,
-0.036782193928956985,
0.02479192055761814,
-0.006856092717498541,
-0.023547817021608353,
0.022790536284446716,
0.0185714028775692,
0.010619957000017166,
-0.022556139156222343,
-0.023692060261964798,
0.0461219884455204,
0.010015935637056828,
-0.031499262899160385,
0.02751452475786209,
-0.04092920571565628,
-0.021979164332151413,
-0.03469065949320793,
0.019490957260131836,
0.012756570242345333,
0.008100196719169617,
-0.043381351977586746,
0.010962536558508873,
0.017976395785808563,
0.027911195531487465,
0.02693754807114601,
0.021979164332151413,
-0.010331469587981701,
0.003308594459667802,
-0.03020106628537178,
-0.01963520050048828,
-0.06047425419092178,
0.032076235860586166,
-0.014884167350828648,
-0.006995829287916422,
0.01699373498558998,
-0.021798860281705856,
0.024521462619304657,
-0.06361155956983566,
0.0031125128734856844,
0.012549219653010368,
0.04150618240237236,
0.01299998164176941,
-0.0723743736743927,
0.00798750575631857,
0.037323109805583954,
-0.013712185434997082,
0.020987488329410553,
-0.02504434809088707,
0.007798186037689447,
0.03382519632577896,
0.021672645583748817,
0.0005454222555272281,
0.015046441927552223,
0.06411641091108322,
0.00094660057220608,
0.04572531580924988,
-0.020356420427560806,
0.03077804297208786,
-0.019112316891551018,
0.03126486390829086,
0.0185714028775692,
-0.028938932344317436,
0.004525652155280113,
0.0015156879089772701,
-0.026973608881235123,
0.05355054885149002,
0.04496803507208824,
-0.0038990930188447237,
0.054812680929899216,
-0.023385541513562202,
-0.02174476720392704,
0.01042162161320448,
-0.045653194189071655,
-0.01612827181816101,
0.012161564081907272,
0.011746862903237343,
-0.031084559857845306,
-0.010701094754040241,
-0.004850201308727264,
0.013018012046813965,
0.04428287595510483,
0.023205237463116646,
-0.0021974656265228987,
-0.07536743581295013,
0.017769046127796173,
-0.016110241413116455,
0.10053800046443939,
-0.0011145095340907574,
0.023746151477098465,
0.05895969271659851,
-0.0052874404937028885,
0.06804706156253815,
-0.013315514661371708,
-0.024936163797974586,
0.046266231685876846,
0.00872675608843565,
0.028524231165647507,
0.010042981244623661,
-0.031535323709249496,
-0.0026910502929240465,
0.0019596887286752462,
-0.018823828548192978,
0.012612326070666313,
0.04951171949505806,
0.06267397850751877,
0.004005021881312132,
0.006842569913715124,
0.02549511007964611,
0.03148123249411583,
0.029768334701657295,
0.018201777711510658,
-0.020248237997293472,
0.063395194709301,
-0.0062430561520159245,
-0.05575026944279671,
-0.04586955904960632,
0.013811353594064713,
0.03140911087393761,
-0.03378913551568985,
-0.0005575364921241999,
0.022213561460375786,
-0.01931065134704113,
-0.02702770009636879,
-0.00880789291113615,
-0.05629118159413338,
0.013856429606676102,
-0.003416777355596423,
0.0030629290267825127,
-0.0003324371064081788,
0.00301785278134048,
0.04154224321246147,
-0.024936163797974586,
0.01045768242329359,
-0.042479828000068665,
0.009898738004267216,
0.025116469711065292,
-0.03176971897482872,
0.02975030429661274,
-0.032202452421188354,
-0.005476760677993298,
-0.0016204901039600372,
0.04720381647348404,
-0.00845629908144474,
-0.056471485644578934,
0.015334929339587688,
0.0040433369576931,
0.02405267022550106,
-0.01543409749865532,
0.03140911087393761,
0.011142841540277004,
-0.03651173785328865,
-0.027748920023441315,
-0.02050066366791725,
-0.009835630655288696,
-0.004863724112510681,
0.008068643510341644,
0.008852969855070114,
0.030832134187221527,
0.008073151111602783,
-0.0003177873441018164,
-0.0490068644285202,
-0.0023067754227668047,
0.010899430140852928,
0.021564463153481483,
0.009209071286022663,
-0.008181333541870117,
-0.03398746997117996,
0.0046428507193923,
-0.01345074363052845,
0.03378913551568985,
-0.03211229667067528,
-0.008618572726845741,
-0.00047808964154683053,
0.03643961623311043,
-0.018300944939255714,
-0.026919517666101456,
-0.0054812682792544365,
0.03611506521701813,
-0.03445626050233841,
0.04659077897667885,
0.02116779237985611,
-0.005201795604079962,
0.039090096950531006,
0.00622051814571023,
0.015461143106222153,
0.016074180603027344,
-0.0128917982801795,
-0.010701094754040241,
0.013054072856903076,
-0.006450406741350889,
-0.019256560131907463,
0.023259328678250313,
-0.06728977710008621,
0.00992578361183405,
0.0015709062572568655,
0.03602491319179535,
0.008032581768929958,
-0.03061576746404171,
-0.0037097728345543146,
0.0035294678527861834,
-0.018120640888810158,
0.027171945199370384,
-0.012053380720317364,
-0.026396634057164192,
0.026216328144073486,
0.01943686604499817,
0.013558926992118359,
0.03196805343031883,
0.01943686604499817,
-0.03357276692986488,
0.00880789291113615,
0.007153595797717571,
0.010250331833958626,
0.011440344154834747,
0.019671261310577393,
0.06314276903867722,
-0.08546451479196548,
0.009227101691067219,
-0.02693754807114601,
-0.00843826774507761,
0.03890979290008545,
-0.0034595998004078865,
-0.0006034578545950353,
-0.013459758833050728,
0.013919536024332047,
-0.017732985317707062,
-0.008366146124899387,
0.012693462893366814,
0.039054036140441895,
-0.0243411585688591,
-0.03757553547620773,
-0.026017993688583374,
-0.007329393178224564,
0.00569312646985054,
-0.0035001684445887804,
-0.014415374957025051,
-0.014884167350828648,
-0.005841877777129412,
-0.010259347036480904,
0.001976592233404517,
0.013667109422385693,
-0.008902553468942642,
-0.039306461811065674,
0.014135901816189289,
-0.007798186037689447,
0.0076539418660104275,
-0.002688796492293477,
-0.03512338921427727,
-0.02636057324707508,
-0.021348096430301666,
-0.016272515058517456,
0.001374824671074748,
0.018391096964478493,
0.001346652046777308,
0.023980548605322838,
0.009907753206789494,
-0.011999289505183697,
0.007559281773865223,
0.00007557310163974762,
-0.016524942591786385,
0.06119547411799431,
-0.026540877297520638,
-0.038188572973012924,
0.0017038810765370727,
-0.05748119577765465,
-0.0012734031770378351,
0.0034686150029301643,
0.0021580238826572895,
-0.012179594486951828,
0.0043611242435872555,
0.020554756745696068,
0.029696213081479073,
-0.005318993702530861,
0.022754475474357605,
0.03883767127990723,
-0.01956307888031006,
0.0055488827638328075,
-0.01950898766517639,
0.034095652401447296,
-0.01601107232272625,
0.03916221857070923,
0.004944861400872469,
0.06617189198732376,
-0.006536051630973816,
-0.0015979519812390208,
-0.05834665894508362,
0.018012456595897675,
0.02661299891769886,
0.016479866579174995,
-0.05575026944279671,
0.030309248715639114,
0.008154287934303284,
0.030669858679175377,
0.016615094617009163,
-0.011070718988776207,
-0.01010608859360218,
-0.023457664996385574,
-0.007811708841472864,
-0.012936875224113464,
0.04316498711705208,
0.027622707188129425,
-0.009718433022499084,
0.0055353594943881035,
0.0325089693069458,
0.031120620667934418,
0.023205237463116646,
-0.05549784004688263,
0.027424370869994164,
-0.011476404964923859,
-0.012504142709076405,
-0.020969457924365997,
-0.008708725683391094,
-0.07060738652944565,
0.004399438854306936,
0.052829328924417496,
0.017065856605768204,
0.06952556222677231,
-0.0016024595825001597,
-0.017588740214705467,
0.01972535252571106,
0.01791328936815262,
-0.001435677520930767,
-0.004298017360270023,
0.02327735908329487,
0.015596372075378895,
0.04943959787487984,
-0.06548672914505005,
0.06570309400558472,
-0.036457646638154984,
-0.005778771359473467,
-0.014180978760123253,
-0.014577649533748627,
-0.025152530521154404,
0.014848106540739536,
0.023367511108517647,
-0.02920939028263092,
0.0094479750841856,
0.008749294094741344,
0.024160852655768394,
-0.02875862829387188,
0.019815506413578987,
-0.012927860021591187,
0.009015243500471115,
-0.009475021623075008,
-0.00617994973435998,
-0.015659477561712265,
-0.037611596286296844,
0.031661536544561386,
-0.011151856742799282,
0.007915384136140347,
0.007113027386367321,
0.017796091735363007,
-0.03285154700279236,
-0.004165042657405138,
0.0023890396114438772,
0.037611596286296844,
0.01762480102479458,
0.034348078072071075,
-0.010322454385459423,
0.001868409221060574,
-0.032977763563394547,
0.014126886613667011,
-0.041902851313352585,
0.029930610209703445,
0.014027719385921955,
-0.0007375596323981881,
-0.005273917689919472,
0.0021321051754057407,
0.0225741695612669,
-0.005783278960734606,
-0.013874460011720657,
0.02657693810760975,
-0.028325896710157394,
-0.003680473193526268,
0.04374196380376816,
-0.014208024367690086,
-0.009294716641306877,
0.0381164513528347,
0.01992368884384632,
-0.02046460285782814,
-0.011818984523415565,
0.022267652675509453,
-0.013441728428006172,
-0.03198608383536339,
0.04723987728357315,
0.011476404964923859,
0.039631012827157974,
0.015208716504275799,
-0.04641047492623329,
0.015190686099231243,
-0.002596390200778842,
-0.0052874404937028885,
-0.022303713485598564,
-0.009411914274096489,
-0.020374450832605362,
0.04060465842485428,
0.005589451175183058,
-0.01621842384338379,
-0.011395268142223358,
-0.005751725751906633,
0.008596034720540047,
-0.006225025746971369,
0.04287650063633919,
-0.05459631606936455,
-0.022952809929847717,
-0.021257944405078888,
0.006125858053565025,
-0.01551523432135582,
-0.01101662777364254,
-0.02244795672595501,
-0.0374673530459404,
-0.033356402069330215,
-0.029389694333076477,
0.04583349823951721,
-0.0012407229514792562,
-0.03654779866337776,
0.03808039054274559,
-0.01807556301355362,
0.02888484112918377,
-0.0457974374294281,
-0.025513140484690666,
-0.037900086492300034,
0.005364070180803537,
0.01683145947754383,
-0.06072668358683586,
-0.0033581783063709736,
-0.0397031344473362,
0.008244440890848637,
-0.0656309723854065,
-0.017011765390634537,
-0.03368094936013222,
-0.013117179274559021,
-0.0013432713458314538,
0.021221883594989777,
0.025404956191778183,
0.029155299067497253,
-0.04608592763543129,
-0.002988553373143077,
-0.009619264863431454,
-0.004782586824148893,
-0.03314003720879555,
0.023457664996385574,
0.029281511902809143,
-0.020320359617471695,
0.0070048444904387,
0.013378622010350227,
0.010196240618824959,
0.024359188973903656,
-0.005129673518240452,
0.053947217762470245,
0.005661573261022568,
0.0073339007794857025,
0.031535323709249496,
0.009673357009887695,
0.006427868735045195,
-0.02298887073993683,
0.020735060796141624,
-0.024539493024349213,
0.03445626050233841,
-0.05582239106297493,
0.017174039036035538,
0.046194110065698624,
-0.04179466888308525,
0.03126486390829086,
0.005517329089343548,
-0.0020160339772701263,
-0.014081810601055622
] |
Learning to rank is an effective recommendation approach since its
introduction around 2010. Famous algorithms such as Bayesian Personalized
Ranking and Collaborative Less is More Filtering have left deep impact in both
academia and industry. However, most learning to rank approaches focus on
improving technical accuracy metrics such as AUC, MRR and NDCG. Other
evaluation metrics of recommender systems like fairness have been largely
overlooked until in recent years. In this paper, we propose a new learning to
rank algorithm named Pareto Pairwise Ranking. We are inspired by the idea of
Bayesian Personalized Ranking and power law distribution. We show that our
algorithm is competitive with other algorithms when evaluated on technical
accuracy metrics. What is more important, in our experiment section we
demonstrate that Pareto Pairwise Ranking is the most fair algorithm in
comparison with 9 other contemporary algorithms. | [
-0.03335431218147278,
0.007186509668827057,
-0.03453636169433594,
0.008094459772109985,
-0.006351366639137268,
0.0214824378490448,
-0.08819106221199036,
0.027118580415844917,
-0.04269078001379967,
0.0243433378636837,
0.004655384924262762,
-0.024874402210116386,
0.017379531636834145,
-0.03707176819443703,
-0.01658293418586254,
-0.0031285728327929974,
0.006120096426457167,
-0.0020471701864153147,
0.021345390006899834,
-0.04543175920844078,
-0.02024899609386921,
-0.04796716570854187,
-0.0002536210522521287,
0.03059620037674904,
-0.005053683649748564,
0.0512906052172184,
0.00029738573357462883,
-0.019752193242311478,
-0.013490765355527401,
0.012762692756950855,
0.06763370335102081,
0.03366267308592796,
-0.0350845567882061,
-0.041628647595644,
-0.06568075716495514,
-0.003546144114807248,
0.06557796895503998,
0.032309312373399734,
0.01783350668847561,
0.05995895713567734,
-0.0033705499954521656,
0.06191190704703331,
-0.015332362614572048,
-0.0031028760131448507,
0.03923029080033302,
-0.020762931555509567,
-0.02749546617269516,
0.0009149094694294035,
0.0074734557420015335,
-0.03720881789922714,
0.014313059858977795,
-0.03474193438887596,
0.01251429133117199,
-0.03397103399038315,
-0.03895619139075279,
0.037482913583517075,
0.018484489992260933,
-0.037585701793432236,
0.04060078039765358,
-0.0019925646483898163,
-0.007199357729405165,
0.05036552622914314,
-0.06509830057621002,
-0.039333075284957886,
-0.005781756713986397,
-0.014330191537737846,
0.023315468803048134,
0.03129857778549194,
0.01899842359125614,
-0.021328257396817207,
-0.06132945045828819,
0.033200133591890335,
0.04395848140120506,
0.02345251850783825,
-0.04621979221701622,
0.025148499757051468,
0.06348796933889389,
-0.04183422401547432,
-0.06431026756763458,
0.01304535660892725,
0.01983785070478916,
0.02394932135939598,
0.009062368422746658,
0.0344507060945034,
0.046870775520801544,
0.013396544381976128,
0.05279814451932907,
-0.025902269408106804,
-0.032412100583314896,
-0.04800143092870712,
-0.02840341627597809,
-0.008432799018919468,
-0.010621300898492336,
0.018313178792595863,
0.023521043360233307,
0.031915295869112015,
0.03734586760401726,
0.00607298593968153,
-0.02103702910244465,
0.048995036631822586,
0.019580882042646408,
-0.035067424178123474,
0.011169497855007648,
0.0016060435445979238,
0.015006870962679386,
-0.06598911434412003,
-0.04759028181433678,
0.009345032274723053,
-0.04532897472381592,
0.09853826463222504,
0.01301965955644846,
0.03378259018063545,
-0.034108083695173264,
0.01265134010463953,
-0.031127264723181725,
0.019940637052059174,
-0.07647337019443512,
-0.056772567331790924,
0.025114238262176514,
0.0035140232648700476,
-0.017970556393265724,
0.0438556969165802,
0.0190669484436512,
-0.017156828194856644,
-0.032069478183984756,
0.022236207500100136,
-0.001063736155629158,
-0.0032506322022527456,
0.04639110341668129,
0.015700681135058403,
0.007413497194647789,
0.018364572897553444,
0.001508610206656158,
-0.05629289522767067,
-0.004646819084882736,
0.018964162096381187,
0.05043404921889305,
-0.005113642662763596,
-0.0355299673974514,
-0.026964399963617325,
0.0004526365955825895,
-0.034330785274505615,
-0.008736876770853996,
-0.033097345381975174,
-0.040566518902778625,
0.001542872516438365,
0.0026381942443549633,
0.02619349956512451,
-0.019598014652729034,
0.005254974588751793,
-0.025559647008776665,
0.03282324597239494,
-0.02749546617269516,
-0.007083722855895758,
0.026450466364622116,
0.012685602530837059,
-0.0075719598680734634,
-0.00486524123698473,
0.03407381847500801,
0.028540464118123055,
0.02754685841500759,
-0.008359991945326328,
-0.009936056099832058,
0.08819106221199036,
0.03361127898097038,
0.10107367485761642,
0.019580882042646408,
0.02907153032720089,
-0.08812253922224045,
0.04224536940455437,
-0.002556821331381798,
-0.03172685578465462,
-0.03772275149822235,
0.020677275955677032,
-0.0443011038005352,
0.06372781097888947,
0.05070814862847328,
0.0007714362582191825,
-0.018535884097218513,
-0.05930797755718231,
-0.020111948251724243,
0.04536323621869087,
-0.03895619139075279,
-0.012891176156699657,
0.05207863822579384,
-0.0031671179458498955,
0.06359075754880905,
0.012788389809429646,
-0.04279356449842453,
0.017525147646665573,
0.005700383801013231,
0.05413437262177467,
0.03210373967885971,
0.026005057618021965,
0.004586860537528992,
-0.006526960991322994,
-0.03013365902006626,
-0.028026530519127846,
-0.0014968325849622488,
0.03030497021973133,
-0.021396782249212265,
-0.01719965599477291,
0.00006113003473728895,
-0.030048003420233727,
0.07147108018398285,
-0.008959581144154072,
0.03580406308174133,
-0.0060815513134002686,
-0.03109300322830677,
-0.05851994454860687,
-0.061260923743247986,
-0.039058979600667953,
-0.05033126473426819,
0.045808643102645874,
-0.025799483060836792,
-0.015957647934556007,
0.023469649255275726,
0.04286209121346474,
0.008942450396716595,
-0.010835440829396248,
-0.03338857367634773,
0.03194956108927727,
0.06150076165795326,
-0.013730601407587528,
0.0009004550520330667,
-0.02525128796696663,
-0.0010632008779793978,
-0.02451464906334877,
0.026501860469579697,
0.005533355288207531,
-0.0006193974404595792,
-0.04532897472381592,
-0.03779127448797226,
0.04111471399664879,
0.029362758621573448,
0.006886714603751898,
-0.06962091475725174,
-0.036866195499897,
-0.009901793673634529,
0.005473396275192499,
-0.030407758429646492,
-0.07777533680200577,
-0.008741159923374653,
0.045123398303985596,
0.09600286185741425,
-0.02197924070060253,
-0.03436505049467087,
0.028180710971355438,
0.02586800791323185,
0.017747851088643074,
-0.03453636169433594,
-0.0640019029378891,
-0.029825299978256226,
0.030561937019228935,
-0.04262225329875946,
0.025285549461841583,
0.08935598284006119,
-0.056429944932460785,
0.013936175033450127,
-0.02896874211728573,
0.039607174694538116,
0.03611242398619652,
-0.0004933230229653418,
0.04156012460589409,
-0.00013383696204982698,
0.02478874661028385,
0.03559849038720131,
0.017285311594605446,
0.005220712162554264,
0.046185530722141266,
-0.024720221757888794,
-0.01899842359125614,
0.022801535204052925,
-0.05663551762700081,
0.04018963500857353,
-0.046699464321136475,
0.011041014455258846,
-0.05947928875684738,
0.060027483850717545,
0.007109419442713261,
-0.008364275097846985,
0.020625881850719452,
-0.0058288672007620335,
-0.018244653940200806,
0.006051572039723396,
-0.0964825302362442,
0.03030497021973133,
-0.02310989610850811,
-0.02338399365544319,
-0.005383457988500595,
-0.0026574668008834124,
-0.006544092204421759,
-0.01479273196309805,
0.000652589020319283,
0.07085435837507248,
0.02597079426050186,
-0.012368676252663136,
-0.012437201105058193,
0.041251763701438904,
0.022356126457452774,
-0.002670315094292164,
0.019940637052059174,
0.041080452501773834,
0.03131570667028427,
0.02204776555299759,
-0.015546501614153385,
-0.0221505519002676,
0.0894245058298111,
-0.04755602031946182,
-0.019255392253398895,
0.01827891729772091,
-0.0030878863763064146,
0.034604884684085846,
-0.019101211801171303,
0.004805282223969698,
0.04382143169641495,
0.04330749809741974,
-0.025165632367134094,
0.01298539713025093,
-0.02985956147313118,
-0.005242126062512398,
-0.004826696123927832,
-0.06554371118545532,
0.012779823504388332,
-0.04347880929708481,
-0.03703750669956207,
-0.032429229468107224,
0.024994321167469025,
-0.006222883239388466,
0.014629986137151718,
-0.03378259018063545,
-0.018296048045158386,
-0.030322102829813957,
-0.0491320826113224,
-0.04522618651390076,
-0.012223062105476856,
-0.013276626355946064,
-0.023418257012963295,
0.026176368817687035,
-0.027581121772527695,
-0.03333717957139015,
0.011991791427135468,
0.05752633884549141,
0.03929881379008293,
0.02305850200355053,
-0.03576980158686638,
-0.027872350066900253,
0.024617435410618782,
0.06078125163912773,
0.03453636169433594,
0.0010685543529689312,
-0.022338995710015297,
0.022082028910517693,
0.043204713612794876,
0.06732534617185593,
-0.03583832457661629,
0.038270946592092514,
-0.006805341690778732,
0.006484133191406727,
-0.0034604885149747133,
0.03703750669956207,
0.01127228420227766,
-0.04769307002425194,
0.03789406269788742,
-0.058725517243146896,
-0.022818665951490402,
0.020728668197989464,
0.06434452533721924,
0.03165832906961441,
-0.01934104785323143,
-0.09723629802465439,
-0.0025396901182830334,
0.013516462408006191,
0.024548910558223724,
-0.04604848101735115,
-0.020557356998324394,
0.008574130944907665,
0.005259257275611162,
-0.05033126473426819,
0.016737114638090134,
-0.04885798692703247,
-0.023880796507000923,
-0.007987390272319317,
-0.0023212681990116835,
-0.0068567353300750256,
-0.03823668509721756,
0.048720937222242355,
0.02271587960422039,
-0.0032720461022108793,
-0.007961693219840527,
0.01783350668847561,
-0.06071272864937782,
-0.0033341464586555958,
-0.03535865619778633,
-0.02626202441751957,
-0.03535865619778633,
0.009404990822076797,
0.052147164940834045,
0.006959522143006325,
-0.05314076691865921,
0.012951134704053402,
-0.049234870821237564,
-0.026005057618021965,
0.05272962152957916,
-0.03755144029855728,
0.002839484950527549,
0.021688012406229973,
-0.01995776779949665,
0.05303798243403435,
0.028540464118123055,
0.02480587735772133,
0.007524849381297827,
-0.04711060971021652,
0.05368896573781967,
0.02120834030210972,
0.02429194375872612,
-0.0403609462082386,
0.005546203814446926,
0.025319810956716537,
-0.021105553954839706,
-0.06924403458833694,
0.041525863111019135,
0.08120156079530716,
-0.05481962114572525,
-0.005499092862010002,
0.03278898447751999,
0.04077209159731865,
-0.04128602519631386,
-0.005481962114572525,
-0.019700800999999046,
0.030801773071289062,
0.030442019924521446,
-0.00256538693793118,
-0.04892650991678238,
0.006544092204421759,
-0.006107248365879059,
0.031795378774404526,
0.04745323210954666,
-0.005858846940100193,
-0.035392917692661285,
0.0033726913388818502,
0.0026617494877427816,
0.007533414755016565,
0.05762912333011627,
-0.030390625819563866,
-0.020266128703951836,
-0.000348779110936448,
-0.022733010351657867,
-0.021807929500937462,
0.037140291184186935,
-0.034998901188373566,
0.02412063255906105,
-0.05115355923771858,
-0.06283698976039886,
0.057560600340366364,
-0.011632038280367851,
0.04121750220656395,
0.0006900634034536779,
0.0027666776441037655,
-0.03638652339577675,
-0.0443011038005352,
0.017559409141540527,
0.027289891615509987,
-0.05461404472589493,
-0.004942331463098526,
0.03981274738907814,
-0.014415847137570381,
-0.035221606492996216,
-0.011477857828140259,
-0.003852363210171461,
0.01546084601432085,
-0.019580882042646408,
-0.013670642860233784,
0.00856128241866827,
0.030219314619898796,
0.03676340728998184,
0.011529251001775265,
-0.07400648295879364,
0.046699464321136475,
-0.021944979205727577,
0.031401362270116806,
0.02035178430378437,
0.0161118283867836,
-0.025559647008776665,
0.04238241910934448,
0.010013146325945854,
0.012522856704890728,
0.019769325852394104,
-0.018484489992260933,
-0.002323409542441368,
-0.0184330977499485,
0.03343996778130531,
-0.025491124019026756,
0.015041133388876915,
-0.023486780002713203,
0.00316925928927958,
0.0035482854582369328,
-0.03424512967467308,
0.009661957621574402,
-0.022989977151155472,
0.040223896503448486,
0.0744861587882042,
-0.02261309325695038,
0.013679208233952522,
0.008004521019756794,
0.012231627479195595,
-0.01405609305948019,
0.014647116884589195,
-0.0779809057712555,
0.010878268629312515,
0.039058979600667953,
-0.0011799066560342908,
0.023349732160568237,
-0.008454212918877602,
-0.00888249184936285,
0.009601999074220657,
0.014809862710535526,
-0.016719983890652657,
0.03299455717206001,
0.0161118283867836,
-0.010449989698827267,
0.04649389162659645,
-0.014313059858977795,
0.04820700362324715,
-0.008064479567110538,
0.018929900601506233,
0.009447818621993065,
-0.015683550387620926,
0.06376206874847412,
-0.015957647934556007,
0.019872112199664116,
0.038373734802007675,
-0.015897689387202263,
-0.04382143169641495,
-0.01739666424691677,
-0.0173195730894804,
0.053551916033029556,
0.024874402210116386,
-0.029379889369010925,
-0.046699464321136475,
0.008248639293015003,
0.03325152397155762,
0.03659209609031677,
-0.03035636432468891,
-0.04018963500857353,
0.009858965873718262,
0.027958005666732788,
-0.05807453393936157,
0.01810760609805584,
0.03486185148358345,
0.020283259451389313,
0.023932190611958504,
-0.02598792500793934,
-0.012497160583734512,
-0.001146715134382248,
0.009010975249111652,
-0.00989322829991579,
-0.010364334098994732,
-0.03431365638971329,
-0.02621063031256199,
-0.005721797700971365,
-0.0010883621871471405,
0.017782114446163177,
-0.032583411782979965,
0.005764625500887632,
-0.023538174107670784,
0.06842173635959625,
0.07763828337192535,
-0.01248002890497446,
0.016428755596280098,
-0.02956833317875862,
0.01625744253396988,
-0.010278678499162197,
-0.019649406895041466,
-0.034827589988708496,
0.04210831969976425,
-0.02907153032720089,
-0.005276388488709927,
-0.02012907899916172,
-0.015632156282663345,
-0.01845022849738598,
0.015221009962260723,
0.02557677961885929,
0.02451464906334877,
0.038031112402677536,
0.01683133654296398,
-0.022989977151155472,
-0.022852929309010506,
0.010347203351557255,
-0.03549570217728615,
-0.016548672690987587,
0.05026273801922798,
-0.01815899834036827,
0.008107307367026806,
-0.057149454951286316,
-0.004728191997855902,
0.01439871545881033,
-0.0060815513134002686,
0.04920060932636261,
-0.021413912996649742,
0.015075395815074444,
0.003421943401917815,
0.0322236567735672,
0.012916873209178448,
-0.01183761190623045,
0.002629628637805581,
0.060130272060632706,
0.03121292032301426,
0.0280607920140028,
0.018467359244823456,
-0.0381338968873024,
0.015195312909781933,
0.012805520556867123,
-0.07729566097259521,
0.006347083952277899,
-0.013807691633701324,
0.03823668509721756,
-0.02658751606941223,
-0.022133421152830124,
0.006711120717227459,
0.020317520946264267,
-0.0060815513134002686,
0.07167664915323257,
0.031247183680534363,
0.008813966996967793,
0.051359131932258606,
-0.0006140439654700458,
-0.046185530722141266,
0.002813788363710046,
-0.028197841718792915,
-0.02451464906334877,
0.012274455279111862,
-0.0016809921944513917,
-0.03662635758519173,
-0.030116528272628784,
-0.004856675863265991,
0.026793088763952255,
0.02956833317875862,
0.027067186310887337,
-0.012968266382813454,
0.025336943566799164,
-0.008779704570770264,
0.025593910366296768,
0.050022903829813004,
0.003233500989153981,
0.004398418124765158,
0.015049698762595654,
-0.026244893670082092,
0.04317045211791992,
0.01164060365408659,
-0.047042086720466614,
0.029893822968006134,
0.026501860469579697,
0.0364207848906517,
0.02101989835500717,
-0.0014818428317084908,
-0.004338459111750126,
0.01613752543926239,
-0.012051750905811787,
0.0280607920140028,
0.0015567915979772806,
0.0179876871407032,
0.0042977724224328995,
0.04173143580555916,
-0.002863040193915367,
0.003209945745766163,
0.015674984082579613,
-0.005691818427294493,
0.032138001173734665,
0.01177765242755413,
0.0041992682963609695,
-0.04560307040810585,
-0.03655783459544182,
0.0648927241563797,
0.012899741530418396,
-0.03493037819862366,
0.005109359975904226,
0.049337659031152725,
0.008839664049446583,
0.023880796507000923,
0.003254914889112115,
0.00264890119433403,
0.012745562009513378,
-0.042142581194639206,
0.024052107706665993,
-0.016403058543801308,
-0.006702554877847433,
0.016128959134221077,
-0.0019154746551066637,
0.013199536129832268,
-0.020608751103281975,
-0.0605071559548378,
-0.005627576727420092,
0.02828349731862545,
0.03830520808696747,
0.014373019337654114,
0.009242244996130466,
0.0061029656790196896,
-0.02463456615805626,
-0.03422800078988075,
-0.023863665759563446,
-0.015169616788625717,
-0.0188442450016737,
-0.007533414755016565,
-0.02345251850783825,
0.014749904163181782,
-0.006831038743257523,
0.05252404883503914,
-0.03761996328830719,
-0.02833489142358303,
0.023127026855945587,
0.045568808913230896,
-0.027752432972192764,
0.029157185927033424,
0.018090475350618362,
0.020814323797822,
0.046596676111221313,
0.014107486233115196,
-0.026296285912394524,
0.011349374428391457,
-0.0010546352714300156,
0.017422359436750412,
0.03861356899142265,
-0.029259972274303436,
-0.015306665562093258,
-0.002704577287659049,
0.007730423007160425,
0.013584987260401249,
-0.0021253309678286314,
-0.004758171737194061,
-0.00330416695214808,
0.05320929363369942,
-0.0025439730379730463,
0.0037924041971564293,
0.008848229423165321,
0.07530844956636429,
-0.024771615862846375,
0.022955715656280518,
0.026810219511389732,
-0.019306784495711327,
-0.0008881420944817364,
-0.01889563724398613,
0.01425310131162405,
-0.005653273314237595,
0.011023882776498795,
0.027084318920969963,
0.043376024812459946,
0.02485727146267891,
0.03059620037674904,
-0.010115932673215866,
-0.011931832879781723,
-0.011409332975745201,
0.016600066795945168,
-0.015674984082579613,
-0.04964601621031761,
0.0023619546554982662,
-0.02209915965795517,
-0.0014315200969576836,
0.007614787667989731,
-0.023692354559898376,
-0.011563513427972794,
0.0517360158264637,
0.011726259253919125,
-0.01650584489107132,
0.007991672493517399,
-0.023760879412293434,
-0.034724801778793335,
0.030013741925358772,
-0.01321666780859232,
-0.029928086325526237,
0.004659667611122131,
-0.037654224783182144,
0.07181370258331299,
-0.037585701793432236,
-0.004479790572077036,
-0.0022077744361013174,
-0.003520447527989745,
-0.006518395617604256,
0.001267703715711832,
0.04707634821534157,
0.02776956371963024,
0.017627933993935585,
-0.0003669809375423938,
0.01771358959376812,
0.022236207500100136,
-0.022647354751825333,
0.03532439097762108,
0.009482081048190594,
0.03200095146894455,
0.0033148739021271467,
-0.01983785070478916,
-0.007203640416264534,
-0.029225708916783333,
-0.014912649989128113,
0.01177765242755413,
-0.03035636432468891,
0.014501502737402916,
0.022356126457452774,
-0.041354551911354065,
-0.04217684641480446,
0.022030634805560112,
0.009610564447939396,
0.020780062302947044,
0.04224536940455437,
-0.058794040232896805,
0.02101989835500717,
0.011863308027386665,
0.031195789575576782,
-0.043376024812459946,
0.02934562787413597,
0.025045713409781456,
0.054579783231019974,
-0.009550605900585651,
-0.03254915028810501,
-0.011709128506481647,
-0.022287601605057716,
-0.019940637052059174,
0.03614668548107147,
-0.05495666712522507,
-0.012325848452746868,
-0.005490527488291264,
-0.04676798731088638,
-0.026313416659832,
-0.010724088177084923,
-0.02182506024837494,
-0.014612854458391666,
-0.014535765163600445,
0.00856128241866827,
0.03707176819443703,
0.01560646016150713,
0.04203979671001434,
0.05368896573781967,
-0.00624001445248723,
-0.027958005666732788,
-0.03847651928663254,
0.03621521219611168,
0.024052107706665993,
0.03710602968931198,
-0.0035397198516875505,
0.06657157838344574,
0.055025193840265274,
-0.0031135831959545612,
-0.03347422927618027,
-0.008959581144154072,
0.011863308027386665,
-0.01056990772485733,
-0.013328020460903645,
0.042313892394304276,
0.026981530711054802,
0.007914582267403603,
0.023709485307335854,
0.03881914168596268,
0.011520685628056526,
-0.023863665759563446,
0.0038459389470517635,
-0.0026167803443968296,
-0.00023060108651407063,
0.011280849575996399,
0.000117375013360288,
-0.022578829899430275,
-0.00496374536305666,
0.0069809360429644585,
-0.027975136414170265,
0.007336406968533993,
0.012617077678442001,
-0.004663950297981501,
0.0016360230511054397,
-0.023127026855945587,
-0.040806353092193604,
-0.05773191154003143,
0.004291348159313202,
0.0605071559548378,
-0.015555066987872124,
0.025833746418356895,
0.016488714143633842,
0.020608751103281975,
0.013370848260819912,
-0.00503226974979043,
0.026775958016514778,
-0.005019421223551035,
0.028883086517453194,
0.016403058543801308,
0.01961514540016651,
-0.00226345076225698,
0.036180950701236725,
-0.03881914168596268,
-0.04783011972904205,
0.007349255029112101,
-0.009242244996130466,
-0.0034861851017922163,
0.006621181964874268,
0.024994321167469025,
-0.00922511424869299,
-0.027752432972192764,
0.03237783908843994,
-0.027289891615509987,
0.01618891954421997,
0.023366862908005714,
-0.001693840604275465,
0.0212597344070673,
-0.007122267968952656,
0.018758589401841164,
-0.003813818097114563,
-0.015409452840685844,
0.04820700362324715,
0.04851536452770233,
0.012428635731339455,
-0.01110097300261259,
0.021293995901942253,
-0.00022645214630756527,
-0.006162924226373434,
-0.03624947369098663,
0.0026574668008834124,
-0.06465288996696472,
0.03273759037256241,
-0.010210154578089714,
-0.05228421092033386,
0.005798887927085161,
0.012402938678860664,
-0.01405609305948019,
0.02626202441751957,
0.04159438610076904,
0.03703750669956207,
0.009584867395460606,
0.005927371326833963,
0.00300223077647388,
-0.0038716355338692665,
0.0517360158264637,
-0.01124658714979887,
-0.022133421152830124,
-0.01510109193623066,
0.004173571709543467,
-0.01596621423959732,
-0.02557677961885929,
-0.0037431521341204643,
0.06348796933889389,
-0.021413912996649742,
-0.020454570651054382,
-0.030116528272628784,
-0.018021950498223305,
-0.012197365052998066,
0.0046982127241790295,
0.034998901188373566,
0.03335431218147278,
0.03141849488019943,
-0.00871974602341652,
0.031624067574739456,
0.02012907899916172,
-0.025371205061674118,
0.07441763579845428,
-0.0045097703114151955,
-0.0155721977353096,
-0.00452690152451396,
-0.024052107706665993,
0.02867751382291317,
0.01928965374827385,
-0.021379651501774788,
0.008295750245451927,
-0.038545046001672745,
-0.00013457307068165392,
-0.05488814413547516,
0.04628831520676613,
-0.0012366535374894738,
-0.03343996778130531,
-0.056087322533130646,
-0.014330191537737846,
-0.012265889905393124,
0.0045097703114151955,
-0.06328240036964417,
0.023760879412293434,
0.03141849488019943,
-0.00025710079353302717,
0.019101211801171303,
-0.002145674079656601,
0.016634328290820122,
0.0119489636272192,
-0.0031585523393005133,
0.0014700652100145817,
-0.00989322829991579,
0.028214972466230392,
-0.011041014455258846,
0.03964143618941307,
-0.014861255884170532,
0.013276626355946064,
0.003501174971461296,
0.005186449736356735,
-0.010133064351975918,
0.0030793207697570324,
0.006698272190988064,
-0.0010021711932495236,
-0.001659578294493258,
-0.02845480851829052,
0.018347442150115967,
-0.05242126062512398,
-0.008527020923793316,
-0.007079439703375101,
-0.0304762814193964,
-0.0010102014057338238,
-0.017114000394940376,
0.02598792500793934,
-0.04447241500020027,
-0.0005107218748889863,
0.00711370212957263,
0.017353836447000504,
0.026518991217017174,
-0.009302204474806786,
0.037757012993097305,
-0.04149159789085388,
-0.024394730105996132,
0.018415965139865875,
0.0062442971393466,
0.0025525386445224285,
0.014972608536481857,
-0.026450466364622116,
0.001094251056201756,
0.003633941290900111,
-0.05475109443068504,
0.005700383801013231,
0.04183422401547432,
-0.03823668509721756,
0.05207863822579384,
-0.018535884097218513,
0.04717913642525673,
-0.035392917692661285
] |
A computational graph in a deep neural network (DNN) denotes a specific data
flow diagram (DFD) composed of many tensors and operators. Existing toolkits
for visualizing computational graphs are not applicable when the structure is
highly complicated and large-scale (e.g., BERT [1]). To address this problem,
we propose leveraging a suite of visual simplification techniques, including a
cycle-removing method, a module-based edge-pruning algorithm, and an isomorphic
subgraph stacking strategy. We design and implement an interactive
visualization system that is suitable for computational graphs with up to 10
thousand elements. Experimental results and usage scenarios demonstrate that
our tool reduces 60% elements on average and hence enhances the performance for
recognizing and diagnosing DNN models. Our contributions are integrated into an
open-source DNN visualization toolkit, namely, MindInsight [2]. | [
0.01944597251713276,
-0.021069476380944252,
-0.03126147389411926,
-0.005542462691664696,
0.10123450309038162,
-0.0077928202226758,
0.008410653099417686,
0.03762922063469887,
-0.0256874430924654,
0.019500089809298515,
-0.01790364272892475,
-0.04065975919365883,
-0.011175120249390602,
0.000015493402315769345,
0.014223700389266014,
0.051663510501384735,
0.02651723474264145,
-0.018886765465140343,
0.012473924085497856,
-0.08730844408273697,
0.0299085546284914,
0.00177345285192132,
0.02651723474264145,
-0.028014466166496277,
0.02509215846657753,
0.009957492351531982,
0.04275227710604668,
-0.015098588541150093,
-0.08882371336221695,
0.05375602841377258,
0.020907126367092133,
0.009362207725644112,
0.024785496294498444,
-0.004239149857312441,
-0.03174852579832077,
-0.027238791808485985,
0.05411680415272713,
0.04102053865790367,
-0.012708430178463459,
0.025380780920386314,
0.020095374435186386,
-0.030215216800570488,
0.01620798371732235,
0.011526879854500294,
0.022801214829087257,
-0.03243400529026985,
-0.03914448991417885,
-0.07590784132480621,
-0.0353563129901886,
0.019770672544836998,
-0.004595418926328421,
-0.007946151308715343,
0.0606468990445137,
0.03173048794269562,
0.003174852579832077,
0.04996785148978233,
0.07699017226696014,
0.031099123880267143,
0.07269690930843353,
0.020402036607265472,
0.029096802696585655,
-0.008816529996693134,
-0.03445436805486679,
-0.012753527611494064,
0.043834611773490906,
-0.010642971843481064,
0.0010688068578019738,
0.03486926108598709,
-0.007179496344178915,
0.010002589784562588,
-0.06760992854833603,
0.002236827975139022,
-0.012906857766211033,
0.0007491795113310218,
0.05112234130501747,
0.036492764949798584,
0.03551866486668587,
-0.036510806530714035,
-0.004987765569239855,
-0.015919359400868416,
0.019247543066740036,
-0.009145740419626236,
-0.047875333577394485,
-0.00820771511644125,
0.05566815286874771,
-0.006020494736731052,
0.010255134664475918,
-0.05119449645280838,
0.015919359400868416,
-0.010462582111358643,
-0.05227683484554291,
-0.02097928151488304,
0.00980416126549244,
-0.028339168056845665,
0.05086979642510414,
-0.026841934770345688,
0.027906233444809914,
-0.006832246668636799,
-0.009768083691596985,
0.04982353746891022,
-0.01772325299680233,
0.049138057976961136,
-0.03201910853385925,
-0.03586140275001526,
0.026733702048659325,
-0.03867547586560249,
0.011355509981513023,
-0.04159778356552124,
-0.010877477936446667,
0.10902732610702515,
-0.008203205652534962,
-0.002462314674630761,
-0.058987319469451904,
0.02770780399441719,
0.0032019109930843115,
0.018075013533234596,
-0.04791141301393509,
-0.02897053025662899,
-0.024821575731039047,
-0.017876584082841873,
0.025561170652508736,
0.0042504239827394485,
-0.008554965257644653,
0.02575960010290146,
-0.07677371054887772,
0.07792820036411285,
-0.026300767436623573,
-0.0682593286037445,
-0.01398017443716526,
0.01435899268835783,
0.008487318642437458,
0.008978880010545254,
-0.012040989473462105,
0.000727758277207613,
0.0387115553021431,
-0.0004836689622607082,
0.026409002020955086,
0.04260796681046486,
0.02626468986272812,
0.004726200830191374,
0.051591355353593826,
-0.01877853088080883,
-0.01607269048690796,
0.017488747835159302,
-0.017867565155029297,
0.013772726990282536,
-0.024045901373028755,
0.11696445941925049,
-0.07901053875684738,
0.0357712097465992,
-0.07720664143562317,
-0.014990354888141155,
-0.014728790149092674,
0.06461546570062637,
0.031532060354948044,
-0.01831853948533535,
0.006552643142640591,
0.02038399688899517,
0.011725307442247868,
-0.036853544414043427,
0.1018839031457901,
-0.019644400104880333,
0.025903910398483276,
0.007855956442654133,
-0.00947044137865305,
0.014873102307319641,
0.01733541674911976,
0.017389534041285515,
-0.026120377704501152,
0.04347383230924606,
-0.009578675031661987,
0.0564257875084877,
-0.013736649416387081,
0.015621718019247055,
-0.04015466943383217,
0.017957760021090508,
-0.00099270511418581,
-0.004047485999763012,
-0.10044079273939133,
-0.024190211668610573,
-0.03780960664153099,
-0.045422039926052094,
0.029674047604203224,
-0.01595543883740902,
-0.007887524552643299,
0.056209322065114975,
0.08297910541296005,
0.015738971531391144,
0.00507345050573349,
0.012383729219436646,
0.0471537783741951,
0.05732773616909981,
0.07089301198720932,
-0.04361814633011818,
0.02729290910065174,
-0.10339917987585068,
-0.015179763548076153,
0.003294360591098666,
0.03340810909867287,
-0.022350240498781204,
-0.0581214502453804,
-0.0009859405690804124,
0.03333595395088196,
0.024623146280646324,
-0.01705581322312355,
-0.004383461084216833,
0.004847963806241751,
-0.045854974538087845,
0.05353955924510956,
-0.009632791392505169,
0.016604840755462646,
0.06926950812339783,
-0.07980424910783768,
-0.06522879004478455,
0.005461287684738636,
0.012212359346449375,
-0.02871798537671566,
-0.019391855224967003,
0.006512055639177561,
0.014746829867362976,
0.05022039636969566,
-0.012979013845324516,
0.03467083349823952,
0.010300232097506523,
0.000514673360157758,
0.0013991448795422912,
0.02525450848042965,
0.01638837344944477,
-0.008879666216671467,
0.011653152294456959,
-0.03526611998677254,
0.0017441395903006196,
0.03445436805486679,
-0.025976067408919334,
0.03679942712187767,
-0.04394284635782242,
0.027888193726539612,
-0.021754955872893333,
-0.027220753952860832,
-0.007463609334081411,
0.019752634689211845,
-0.01129237376153469,
-0.035753168165683746,
-0.01629817858338356,
0.044411856681108475,
0.052204679697752,
0.019409894943237305,
-0.025236470624804497,
0.05905947461724281,
0.015594659373164177,
0.023143954575061798,
-0.008347516879439354,
0.05094195157289505,
-0.014088408090174198,
-0.05400857329368591,
-0.026084300130605698,
0.023089837282896042,
0.0185259860008955,
-0.02357688918709755,
0.012401768006384373,
0.027310948818922043,
0.0011826776899397373,
-0.05610108748078346,
0.005037372466176748,
-0.021322021260857582,
-0.05353955924510956,
0.03230773285031319,
0.03838685527443886,
-0.0025818226858973503,
0.012059028260409832,
-0.016262101009488106,
-0.011184140108525753,
-0.02247651293873787,
-0.042247187346220016,
-0.012744507752358913,
-0.018598143011331558,
0.0026923110708594322,
0.03477906808257103,
0.04448401555418968,
-0.005758929997682571,
0.030539916828274727,
-0.041056618094444275,
-0.0214843712747097,
0.05491051822900772,
-0.04697338864207268,
0.0032222047448158264,
0.02828505076467991,
-0.0149542773142457,
-0.09329736977815628,
-0.0010389299131929874,
-0.0505450963973999,
0.015107608400285244,
-0.07251651585102081,
0.01068806927651167,
0.018264422193169594,
0.016604840755462646,
-0.018904803320765495,
-0.03382300212979317,
-0.010985711589455605,
-0.08110304921865463,
-0.04726200923323631,
-0.034147705882787704,
-0.013321753591299057,
0.017164045944809914,
-0.03432809188961983,
-0.0028929943218827248,
0.026896052062511444,
0.07085693627595901,
0.00837908498942852,
0.0056822644546628,
0.034562598913908005,
0.015847204253077507,
-0.01995106227695942,
-0.03631237521767616,
-0.03896410018205643,
0.020329879596829414,
0.030630111694335938,
-0.03106304630637169,
-0.03914448991417885,
-0.012022950686514378,
0.02653527446091175,
-0.03863940015435219,
-0.07302161306142807,
0.03537435084581375,
-0.009046525694429874,
0.04001035913825035,
-0.03773745149374008,
0.013736649416387081,
-0.009650830179452896,
0.008911234326660633,
0.02812270075082779,
0.02830308862030506,
0.0008478299714624882,
0.01074218563735485,
0.022278085350990295,
-0.015603679232299328,
0.005416190251708031,
-0.013330773450434208,
-0.07186711579561234,
-0.008902214467525482,
-0.010191998444497585,
-0.018174227327108383,
-0.07356277853250504,
-0.06595034897327423,
0.009335149079561234,
-0.03762922063469887,
-0.012022950686514378,
-0.018814610317349434,
0.01638837344944477,
0.010264154523611069,
0.0009814308723434806,
0.008721824735403061,
-0.051916055381298065,
0.01014690101146698,
0.05321485921740532,
-0.019518127664923668,
0.011986872181296349,
-0.00814006943255663,
-0.023017682135105133,
0.017155027016997337,
0.001115595456212759,
-0.018976960331201553,
-0.01592838019132614,
0.04094838351011276,
-0.05960064008831978,
-0.043076977133750916,
-0.05509090796113014,
-0.02837524563074112,
-0.0488133579492569,
0.05408072844147682,
0.009001428261399269,
0.03409358859062195,
-0.06674405932426453,
-0.020816931501030922,
0.011977853253483772,
-0.04412323608994484,
0.0027193694841116667,
-0.0066022505052387714,
-0.08954527229070663,
0.016144847497344017,
-0.02880818024277687,
-0.002466824371367693,
0.0006651857402175665,
0.020853009074926376,
-0.027852116152644157,
0.06519271433353424,
-0.01477388758212328,
-0.02263886295258999,
0.01616288535296917,
0.019157350063323975,
0.0038535676430910826,
-0.07446472346782684,
-0.004802866373211145,
-0.03555474057793617,
0.039866045117378235,
0.03082854114472866,
-0.03652884438633919,
-0.027256831526756287,
0.05530737712979317,
-0.022025540471076965,
-0.05768851563334465,
0.02830308862030506,
0.03257831558585167,
-0.0437985360622406,
-0.041128773242235184,
0.0011313795112073421,
-0.002820838475599885,
0.01486408244818449,
0.03275870531797409,
0.034995533525943756,
0.025326665490865707,
-0.0060340240597724915,
0.013628415763378143,
-0.0007598901283927262,
0.02281925268471241,
0.0014983590226620436,
-0.0032267144415527582,
-0.012230398133397102,
0.04300482198596001,
-0.03479710593819618,
0.004063270054757595,
0.0387115553021431,
0.03281282261013985,
-0.0024735890328884125,
-0.04574673995375633,
0.025543132796883583,
0.0017058068187907338,
-0.01870637573301792,
-0.022873369976878166,
-0.008622610941529274,
0.00048197779688052833,
-0.01885068789124489,
-0.004284247290343046,
-0.009389265440404415,
-0.005375602748245001,
-0.02559724822640419,
0.0206365417689085,
0.018760493025183678,
-0.03308340534567833,
0.05433327332139015,
-0.010751205496490002,
-0.05833791568875313,
0.043906766921281815,
0.030539916828274727,
-0.055523842573165894,
-0.006006965413689613,
-0.04498910531401634,
-0.05498267337679863,
-0.03697981685400009,
-0.04563850536942482,
-0.07056831568479538,
-0.019572244957089424,
-0.06944990158081055,
-0.05126665532588959,
0.02511019818484783,
-0.03831470012664795,
-0.016559742391109467,
-0.02754545398056507,
0.02465922385454178,
-0.05776067078113556,
-0.01708287186920643,
0.07965993881225586,
-0.03530219569802284,
-0.012275495566427708,
0.035500623285770416,
0.04195856302976608,
-0.03274066746234894,
-0.0031974012963473797,
0.026228612288832664,
0.025452937930822372,
0.001400272361934185,
0.030179139226675034,
0.03106304630637169,
0.05357563868165016,
0.003982095047831535,
-0.007693605963140726,
-0.011229237541556358,
-0.0193738155066967,
0.001029346720315516,
-0.004166994243860245,
0.03975781425833702,
0.02895249053835869,
0.007391453720629215,
-0.010101803578436375,
-0.02628272771835327,
0.04369030147790909,
0.02853759564459324,
0.00013853338896296918,
0.044087156653404236,
-0.022548668086528778,
0.016839345917105675,
-0.027220753952860832,
-0.05426111817359924,
-0.021664761006832123,
0.0009149122633971274,
-0.0046946327202022076,
-0.05339524894952774,
0.007071262691169977,
0.034490443766117096,
0.07590784132480621,
-0.019391855224967003,
0.029836399480700493,
0.025831755250692368,
-0.005858144257217646,
-0.006669896189123392,
-0.003939252346754074,
-0.015784068033099174,
0.040623683482408524,
-0.004884041845798492,
-0.004185033030807972,
0.007576352916657925,
-0.024803536012768745,
-0.025380780920386314,
-0.05649794638156891,
0.011310412548482418,
-0.009208876639604568,
-0.017705215141177177,
-0.008446731604635715,
0.007301258854568005,
0.036745309829711914,
0.039866045117378235,
-0.018489908427000046,
-0.003402594244107604,
0.04437578096985817,
-0.04650437459349632,
0.04607143998146057,
-0.027635648846626282,
-0.019518127664923668,
0.008888685144484043,
0.006390292663127184,
0.027635648846626282,
0.02348669432103634,
-0.050472941249608994,
-0.019013037905097008,
-0.022187890484929085,
-0.009335149079561234,
0.01563073694705963,
0.005028353072702885,
-0.010083764791488647,
0.008261832408607006,
-0.030756384134292603,
-0.0049426681362092495,
-0.045422039926052094,
0.01005670614540577,
-0.005849124863743782,
-0.016947580501437187,
0.030539916828274727,
-0.01987890712916851,
-0.04455617070198059,
-0.007689096033573151,
-0.001437477651052177,
0.00883907824754715,
0.020005179569125175,
0.001384488306939602,
0.0041083674877882,
-0.02713055908679962,
-0.020816931501030922,
-0.030106982216238976,
-0.013754688203334808,
-0.02197142317891121,
-0.005280898418277502,
0.030756384134292603,
-0.014340953901410103,
-0.011409626342356205,
-0.007892034016549587,
-0.017272280529141426,
-0.01611778885126114,
0.03133362904191017,
-0.01572995074093342,
0.036925699561834335,
0.017921682447195053,
-0.005655206274241209,
-0.05826576054096222,
0.016839345917105675,
0.0027734863106161356,
-0.004408264998346567,
0.02072673663496971,
0.008352027274668217,
0.01705581322312355,
0.019067155197262764,
0.0480196438729763,
0.011229237541556358,
0.05440542846918106,
0.048452578485012054,
0.002611135831102729,
0.01698365807533264,
-0.01986086741089821,
-0.03681746497750282,
0.013610376976430416,
-0.02897053025662899,
0.013682532124221325,
0.024352561682462692,
0.02812270075082779,
-0.0008664326160214841,
-0.03503161296248436,
0.018634220585227013,
0.003089167643338442,
0.034634754061698914,
0.029096802696585655,
-0.01822834461927414,
0.00024141168978530914,
0.010444543324410915,
0.05289015918970108,
0.04553027078509331,
-0.027058402076363564,
-0.0332457572221756,
0.02651723474264145,
0.022458475083112717,
0.030864618718624115,
0.009190837852656841,
-0.07067655026912689,
-0.014377031475305557,
0.02323414944112301,
-0.02011341229081154,
0.013709590770304203,
0.0017520316177979112,
0.0038919001817703247,
0.0046224771067500114,
-0.009488480165600777,
-0.05346740409731865,
0.025398820638656616,
-0.030106982216238976,
0.040551524609327316,
-0.0128437215462327,
-0.00677812984213233,
0.026246650144457817,
-0.018904803320765495,
-0.03227165341377258,
-0.009308090433478355,
-0.016839345917105675,
0.001490466995164752,
0.022260045632719994,
-0.032217539846897125,
-0.018598143011331558,
-0.019085193052887917,
-0.019409894943237305,
-0.042247187346220016,
0.03492337837815285,
-0.010201018303632736,
-0.015477406792342663,
-0.04664868488907814,
0.028267011046409607,
-0.0124198067933321,
0.02998070977628231,
-0.005628147628158331,
-0.0009346423321403563,
-0.0028794649988412857,
0.018120110034942627,
0.017921682447195053,
0.005371092818677425,
0.04553027078509331,
-0.008947311900556087,
0.014837023802101612,
0.025813715532422066,
0.009713966399431229,
-0.041886407881975174,
0.033642612397670746,
-0.016379352658987045,
0.014196641743183136,
0.06789854913949966,
-0.002644958905875683,
0.0031725976150482893,
0.003837783355265856,
0.029439542442560196,
0.010381407104432583,
-0.01678522862493992,
-0.024226289242506027,
-0.01921146549284458,
0.02020360715687275,
0.031441863626241684,
0.007869485765695572,
-0.009822200052440166,
-0.03400339186191559,
0.031117163598537445,
0.004514243453741074,
-0.022873369976878166,
0.02164672315120697,
0.02173691615462303,
0.0040114084258675575,
-0.0020677128341048956,
-0.00028171742451377213,
-0.041128773242235184,
-0.03997427970170975,
0.011517859995365143,
-0.017136989161372185,
0.006692444905638695,
-0.01250098180025816,
0.02511019818484783,
0.0066608767956495285,
0.016613859683275223,
0.0020316350273787975,
-0.013357831165194511,
-0.012050008401274681,
-0.01528799720108509,
0.056028932332992554,
0.020311841741204262,
-0.01557662058621645,
-0.013195481151342392,
0.08030933886766434,
-0.06710483878850937,
-0.026246650144457817,
0.023306304588913918,
-0.03275870531797409,
0.03968565911054611,
0.004306796006858349,
0.04387069121003151,
-0.003934742882847786,
0.02787015400826931,
-0.029186997562646866,
-0.006295588333159685,
0.003224459709599614,
0.012771566398441792,
0.027671726420521736,
-0.01870637573301792,
0.030449721962213516,
0.03205518797039986,
0.004157974384725094,
0.01735345646739006,
0.002428491599857807,
0.00010210319305770099,
-0.026643507182598114,
-0.003071128623560071,
0.0269321296364069,
-0.051410965621471405,
0.017344435676932335,
0.05112234130501747,
0.0015817891107872128,
-0.019427932798862457,
0.012906857766211033,
0.0025119218043982983,
0.005795008037239313,
-0.013682532124221325,
0.00014572076906915754,
-0.0065932306461036205,
0.005141096655279398,
-0.025398820638656616,
-0.0032740668393671513,
0.04599928483366966,
0.00865417905151844,
-0.0024555500131100416,
-0.017272280529141426,
0.012275495566427708,
-0.025470975786447525,
0.026733702048659325,
-0.003014757065102458,
0.023432577028870583,
-0.018580103293061256,
0.02920503541827202,
0.001984282862395048,
0.0035356313455849886,
-0.01886872574687004,
-0.04780317842960358,
0.043654222041368484,
-0.0013078227639198303,
-0.05289015918970108,
0.007580862380564213,
0.040551524609327316,
-0.004640515893697739,
0.01687542349100113,
0.014142525382339954,
-0.04271619766950607,
0.03477906808257103,
-0.02072673663496971,
0.02577763795852661,
0.03645668923854828,
0.051158420741558075,
-0.016974637284874916,
-0.050725486129522324,
0.0051365867257118225,
-0.006588721182197332,
0.027310948818922043,
0.027653688564896584,
0.03265047445893288,
-0.005903241690248251,
-0.03266851231455803,
-0.016902482137084007,
0.00538913207128644,
-0.02357688918709755,
-0.03867547586560249,
-0.03384104371070862,
-0.013655474409461021,
0.006814207881689072,
-0.0016640917165204883,
0.08723629266023636,
-0.012455884367227554,
-0.007432041224092245,
0.0029583852738142014,
-0.02054634690284729,
-0.006056572310626507,
0.02465922385454178,
-0.019933022558689117,
-0.03900017961859703,
0.05505482852458954,
0.02180907316505909,
0.02601214498281479,
-0.04091230407357216,
-0.011896677315235138,
-0.017073852941393852,
-0.051916055381298065,
-0.06890873610973358,
0.05884300544857979,
-0.0387476310133934,
0.019049115478992462,
-0.009046525694429874,
0.036330416798591614,
-0.02500196360051632,
-0.041561707854270935,
-0.01738051325082779,
-0.003756608348339796,
0.017687175422906876,
0.048380423337221146,
-0.02729290910065174,
-0.021340060979127884,
0.046865154057741165,
0.015026433393359184,
-0.011635113507509232,
-0.030377566814422607,
-0.02897053025662899,
-0.039613500237464905,
-0.018580103293061256,
0.0022075145971029997,
-0.0031162260565906763,
-0.016397392377257347,
-0.049895696341991425,
-0.00022464111680164933,
-0.0332818366587162,
0.057147346436977386,
-0.004726200830191374,
0.0014848298160359263,
0.0029922083485871553,
0.006070101633667946,
0.06014180928468704,
-0.050833720713853836,
-0.0005823193932883441,
-0.04841650277376175,
0.034562598913908005,
-0.024569028988480568,
0.01756090298295021,
0.04675691947340965,
0.0016336510889232159,
-0.020997321233153343,
-0.025308625772595406,
0.002588587114587426,
0.018904803320765495,
-0.017019735649228096,
-0.00919534731656313,
0.0016156121855601668,
0.010922575369477272,
0.02415413409471512,
0.008496338501572609,
0.008600062690675259,
0.029024647548794746,
0.019175387918949127,
0.040804073214530945,
-0.028158778324723244,
0.0011973343789577484,
0.05025647208094597,
0.030918734148144722,
-0.01703777350485325,
0.015008393675088882,
0.03863940015435219,
-0.0387476310133934,
-0.037088051438331604,
-0.035500623285770416,
-0.01797579973936081,
0.016478566452860832,
0.03384104371070862,
0.006155786570161581,
-0.018922843039035797,
0.002482608426362276,
-0.051663510501384735,
0.018075013533234596,
0.010074744932353497,
0.028014466166496277,
0.031622253358364105,
-0.0038693516980856657,
-0.022205928340554237,
-0.019896944984793663,
-0.012573137879371643,
-0.0014837024500593543,
0.02534470334649086,
-0.005506385117769241,
0.023198070004582405,
0.031279515475034714,
0.006904402282088995,
0.011093945242464542,
0.010092784650623798,
-0.02628272771835327,
-0.02366708219051361,
-0.03730451688170433,
-0.03173048794269562,
0.03353438153862953,
-0.017642078921198845,
-0.03907233476638794,
-0.001578406780026853,
-0.007184005808085203,
0.014196641743183136,
0.008131050504744053,
-0.011166101321578026,
-0.04527772590517998,
0.006331666372716427,
-0.04336560145020485,
0.022115735337138176,
-0.07233612984418869,
0.00620990339666605,
0.02451491355895996,
0.0067285229451954365,
-0.007837917655706406,
0.015297017060220242,
-0.04780317842960358,
-0.04275227710604668,
-0.024983925744891167,
-0.014593498781323433,
-0.04120092839002609,
0.00989435613155365,
0.005465797148644924,
-0.05869869515299797,
-0.012122164480388165,
0.01364645455032587,
0.010182978585362434,
-0.024442756548523903,
0.014088408090174198,
0.018002856522798538,
-0.014936238527297974,
-0.031045006588101387,
0.003208675654605031,
-0.015269958414137363,
-0.0027080951258540154,
-0.01666797697544098,
0.07670155167579651,
-0.03562689572572708,
0.027761921286582947,
0.04498910531401634,
-0.010219057090580463,
0.058987319469451904,
-0.03124343603849411,
-0.020420074462890625,
0.018796570599079132,
-0.006259510293602943,
-0.006322646979242563,
0.004532282240688801,
-0.024442756548523903,
0.02375727705657482,
0.05011216178536415,
0.021177709102630615,
-0.03820646554231644,
0.0488494373857975,
0.022963564842939377,
-0.013123325072228909,
0.01673111319541931,
-0.007215573918074369,
-0.014377031475305557,
-0.01840873248875141,
-0.031802643090486526,
-0.04304089769721031,
-0.04437578096985817,
-0.00407454464584589,
0.000531584897544235,
0.00717498641461134,
0.019319700077176094,
0.03445436805486679,
-0.03602375462651253,
0.010372388176620007,
-0.012022950686514378,
0.004645025823265314,
0.014115466736257076,
-0.006475977599620819,
-0.050328630954027176,
-0.012951955199241638,
0.012861761264503002,
-0.0031838719733059406,
-0.02206161804497242,
0.009704947471618652,
0.0004506915283855051,
-0.01634327508509159,
0.029854437336325645,
0.026156455278396606,
0.023270227015018463,
-0.013944096863269806,
-0.010291212238371372,
0.03611394762992859,
0.02020360715687275,
0.005127567332237959,
0.002726134145632386,
-0.008108501322567463,
0.024280406534671783,
0.011896677315235138,
0.008933782577514648,
-0.018174227327108383,
0.020492229610681534,
-0.04419539123773575,
-0.009759063832461834,
0.03126147389411926,
-0.015297017060220242,
-0.03189283609390259,
0.022350240498781204,
0.027924271300435066,
0.006029514130204916,
-0.0138989994302392,
0.007973209023475647,
0.006561662536114454,
-0.037051972001791,
-0.0007604538695886731,
0.06447115540504456,
0.014205661602318287,
0.020997321233153343,
0.005889712367206812,
-0.010372388176620007,
-0.024298446252942085,
0.029710127040743828,
-0.006097160279750824,
0.002640449209138751,
-0.025615287944674492,
0.026499195024371147,
-0.03638453409075737,
-0.028609750792384148,
-0.03391319885849953,
0.031026968732476234,
0.008153598755598068,
0.007531255483627319,
-0.055271297693252563,
0.014214680530130863,
-0.017281299456954002,
-0.010994731448590755
] |
We address the problem of unsupervised domain adaptation when the source
domain differs from the target domain because of a shift in the distribution of
a latent subgroup. When this subgroup confounds all observed data, neither
covariate shift nor label shift assumptions apply. We show that the optimal
target predictor can be non-parametrically identified with the help of concept
and proxy variables available only in the source domain, and unlabeled data
from the target. The identification results are constructive, immediately
suggesting an algorithm for estimating the optimal predictor in the target. For
continuous observations, when this algorithm becomes impractical, we propose a
latent variable model specific to the data generation process at hand. We show
how the approach degrades as the size of the shift changes, and verify that it
outperforms both covariate and label shift adjustment. | [
0.010412969626486301,
-0.017312582582235336,
-0.02460256963968277,
0.0022298917174339294,
0.01084873452782631,
0.03144771233201027,
-0.03309999033808708,
0.03362653777003288,
-0.056976284831762314,
0.011892755515873432,
-0.00832492858171463,
-0.03449806943535805,
0.004046714399009943,
-0.0627138540148735,
-0.008202369324862957,
0.023059235885739326,
-0.002204925986006856,
0.04717157036066055,
-0.020825939252972603,
-0.04916882514953613,
0.03613218665122986,
-0.061624445021152496,
-0.025274375453591347,
0.06580052524805069,
0.00586013263091445,
0.053453847765922546,
0.009496047161519527,
-0.017103780061006546,
-0.05073031783103943,
0.03714897111058235,
0.04876937344670296,
0.004993141628801823,
-0.00738984951749444,
-0.03620481491088867,
-0.024402843788266182,
0.024947550147771835,
-0.044484350830316544,
0.06972241401672363,
-0.05770255997776985,
0.07792931795120239,
0.005991769954562187,
0.010975833050906658,
-0.029069162905216217,
-0.050766631960868835,
-0.0017010725568979979,
-0.03762105107307434,
-0.005342661403119564,
0.013054795563220978,
0.0008511036867275834,
-0.001900798175483942,
-0.01322728581726551,
-0.021461430937051773,
-0.0064411526545882225,
0.02418496273458004,
-0.049132511019706726,
0.023059235885739326,
0.059663500636816025,
0.048442550003528595,
0.03377179428935051,
0.01939154602587223,
-0.013499638997018337,
-0.023622099310159683,
-0.010376655496656895,
0.035224344581365585,
0.026000650599598885,
0.00597815215587616,
0.003177453763782978,
-0.008447487838566303,
-0.003996782936155796,
-0.0005827223067171872,
-0.04731682315468788,
-0.020844096317887306,
-0.002526075579226017,
0.01219234336167574,
-0.014670757576823235,
0.0003245541884098202,
0.014425639994442463,
-0.019209977239370346,
-0.010594538412988186,
-0.04974984750151634,
0.015360718593001366,
0.02850629948079586,
0.029232574626803398,
0.004729866981506348,
0.03202873468399048,
-0.021243548020720482,
0.006332211196422577,
-0.05810201168060303,
0.03709450364112854,
-0.015896346420049667,
-0.015279012732207775,
-0.013200050219893456,
0.020426487550139427,
0.004856965038925409,
-0.03024935908615589,
0.023295274004340172,
0.01507020927965641,
-0.018102407455444336,
-0.09020337462425232,
0.01769387722015381,
-0.015197306871414185,
-0.02127986215054989,
-0.059663500636816025,
0.031048262491822243,
0.030903005972504616,
-0.031320616602897644,
-0.034062303602695465,
0.0003750530304387212,
0.048914629966020584,
0.18607169389724731,
0.0041284202598035336,
0.02598249353468418,
-0.0034656941425055265,
0.06619998067617416,
-0.03958199545741081,
0.03649532422423363,
-0.03772999346256256,
-0.1127178966999054,
0.04408489912748337,
-0.05875565856695175,
0.05356279015541077,
0.05236443877220154,
0.05174710229039192,
-0.010703479871153831,
-0.00716742780059576,
0.022115077823400497,
0.01675879955291748,
0.03772999346256256,
0.03339049965143204,
0.011792892590165138,
-0.011030303314328194,
0.018719742074608803,
-0.01004075352102518,
-0.026327474042773247,
-0.023277118802070618,
0.04324968531727791,
0.05683102831244469,
0.001954134088009596,
-0.03273685276508331,
-0.011638559401035309,
0.04234183952212334,
-0.003340865485370159,
-0.03540591150522232,
0.027943436056375504,
-0.012355756014585495,
0.04357650876045227,
0.031102731823921204,
0.02560119889676571,
-0.007748447824269533,
-0.004573263693600893,
0.007535104639828205,
0.05120239779353142,
-0.01839291676878929,
0.059409305453300476,
0.06438428908586502,
0.03921885788440704,
0.020208604633808136,
-0.024911237880587578,
0.009105673991143703,
0.0006309515447355807,
0.06017189472913742,
-0.02333158813416958,
0.03889203444123268,
0.06681731343269348,
0.05280020087957382,
0.0006502431933768094,
0.0027439582627266645,
-0.07001291960477829,
-0.03994513303041458,
0.04789784550666809,
0.06968609988689423,
-0.022986607626080513,
-0.024057863280177116,
0.029432300478219986,
-0.00534720066934824,
0.027307944372296333,
-0.01722179912030697,
0.0150157380849123,
-0.008910488337278366,
-0.00834762491285801,
-0.013835540972650051,
-0.0025328844785690308,
-0.0023921686224639416,
-0.01359042339026928,
0.04125242680311203,
0.00866536982357502,
0.07989026606082916,
0.0045097144320607185,
0.024003393948078156,
-0.02814316190779209,
0.024529943242669106,
0.026418257504701614,
0.05211023986339569,
0.00795271247625351,
0.01692221127450466,
-0.03673136606812477,
-0.0061279465444386005,
0.00822052638977766,
0.004847886506468058,
0.0067543587647378445,
0.0042963712476193905,
-0.06311330944299698,
0.03676768019795418,
0.028578925877809525,
0.016250405460596085,
0.055923186242580414,
-0.007489712443202734,
0.0015580870676785707,
0.01101214624941349,
-0.08286799490451813,
0.040852975100278854,
-0.019137348979711533,
-0.046336352825164795,
-0.024802295491099358,
-0.024275746196508408,
-0.033317871391773224,
0.006336750462651253,
0.030903005972504616,
-0.0014491458423435688,
0.013290834613144398,
0.006958623416721821,
0.01859264262020588,
0.06819723546504974,
0.013617658987641335,
-0.03072143718600273,
0.03044908493757248,
0.013989875093102455,
0.0019121462246403098,
0.003894650377333164,
-0.033808108419179916,
-0.01569662056863308,
0.014843247830867767,
0.03798418864607811,
-0.009777478873729706,
-0.003865145379677415,
0.02670876868069172,
-0.01743968203663826,
0.04873306304216385,
0.030340144410729408,
-0.0632585659623146,
-0.022369274869561195,
-0.011983539909124374,
-0.000617333862464875,
0.0030571643728762865,
0.04368544742465019,
-0.013254521414637566,
0.01575109176337719,
0.018992094323039055,
0.037911560386419296,
0.03852889686822891,
-0.016096072271466255,
-0.032010577619075775,
-0.005247337743639946,
-0.0011279960162937641,
-0.053235966712236404,
0.03772999346256256,
0.011874598450958729,
-0.018937623128294945,
0.03199242055416107,
-0.023785511031746864,
0.04778890311717987,
0.013263599947094917,
0.0024965708144009113,
0.033590223640203476,
0.03618665784597397,
0.03841995447874069,
0.03852889686822891,
-0.005183788947761059,
0.028724180534482002,
-0.011130166240036488,
-0.004073949530720711,
-0.04299548640847206,
-0.027852650731801987,
0.009659458883106709,
-0.0008301097550429404,
-0.011929068714380264,
0.06678099930286407,
-0.04339493811130524,
0.06176970154047012,
-0.030176730826497078,
-0.0021879037376493216,
0.014906796626746655,
0.023422373458743095,
0.015215463936328888,
0.013417933136224747,
0.02017229236662388,
-0.027598455548286438,
-0.022696098312735558,
-0.08599097281694412,
-0.025002021342515945,
-0.012864148244261742,
-0.05236443877220154,
-0.009496047161519527,
0.0029663799796253443,
-0.030013319104909897,
-0.05810201168060303,
-0.024166805669665337,
0.022950293496251106,
0.012473775073885918,
-0.0006156316376291215,
0.025819081813097,
-0.025837237015366554,
-0.01686774007976055,
0.0234405305236578,
0.01933707483112812,
-0.01839291676878929,
0.03393520414829254,
0.05327228084206581,
-0.038964658975601196,
-0.02122539095580578,
0.03994513303041458,
0.013091109693050385,
-0.0011030304012820125,
-0.010140616446733475,
-0.03191979229450226,
0.03524250164628029,
0.021824568510055542,
-0.025583041831851006,
0.028833122923970222,
-0.039327796548604965,
-0.03625928610563278,
-0.010385734029114246,
-0.0869351327419281,
-0.0437217615544796,
0.02396707981824875,
-0.025092806667089462,
0.01486140489578247,
0.06314962357282639,
0.002480683382600546,
0.0268721804022789,
-0.080108143389225,
-0.02781633660197258,
-0.026999277994036674,
0.001241476507857442,
0.009904577396810055,
0.012818756513297558,
0.012047088705003262,
0.07153809815645218,
-0.04099823161959648,
-0.020263075828552246,
-0.014098815619945526,
-0.05098451301455498,
0.020372018218040466,
0.011547775007784367,
-0.005710338242352009,
0.002780271926894784,
-0.045537449419498444,
-0.018574485555291176,
0.0022355655673891306,
0.01538795419037342,
0.0008000374655239284,
-0.04139768332242966,
-0.015841877087950706,
0.01299124676734209,
-0.002530614845454693,
-0.026726923882961273,
-0.03994513303041458,
-0.0034021451137959957,
0.0014570894418284297,
0.0029459535144269466,
0.004428008571267128,
-0.0816333219408989,
-0.0837395191192627,
0.0033227086532860994,
-0.09397999942302704,
0.03308183327317238,
0.025383315980434418,
0.014952189289033413,
-0.011311735026538372,
0.011447912082076073,
-0.027834493666887283,
-0.005996309220790863,
0.04019932821393013,
0.004618655890226364,
-0.02476598136126995,
0.01270073652267456,
0.019954409450292587,
-0.01077610719949007,
0.008606360293924809,
0.03518803045153618,
-0.03596877679228783,
0.006636338774114847,
-0.0024579872842878103,
0.011693029664456844,
-0.009677615948021412,
-0.022242175415158272,
0.03172006458044052,
-0.0015705699333921075,
-0.01812964305281639,
0.012382990680634975,
0.007435241714119911,
-0.04927776753902435,
0.035587482154369354,
-0.04430278390645981,
0.043649137020111084,
-0.017194563522934914,
-0.0031479487661272287,
-0.015578601509332657,
0.017739269882440567,
0.010993990115821362,
0.0019348423229530454,
-0.006799750961363316,
-0.02097119390964508,
-0.006863299757242203,
-0.00401720916852355,
0.018411073833703995,
-0.017993466928601265,
-0.013971718028187752,
-0.003896920010447502,
0.011575009673833847,
-0.0321195162832737,
-0.03072143718600273,
0.031175360083580017,
-0.014362090267241001,
0.0432133711874485,
0.06314962357282639,
-0.05588687211275101,
-0.0026894875336438417,
0.007294525858014822,
-0.021842723712325096,
0.021624842658638954,
-0.037330541759729385,
0.03856521099805832,
0.002975458512082696,
-0.03378995135426521,
0.027961593121290207,
0.03693109005689621,
0.016786033287644386,
0.044811174273490906,
-0.0453195683658123,
0.04905988648533821,
0.02972280979156494,
0.016776954755187035,
-0.056141067296266556,
-0.013318070210516453,
0.054398007690906525,
-0.04368544742465019,
-0.04964090511202812,
0.003497468773275614,
-0.06569158285856247,
-0.04945933818817139,
-0.01749415136873722,
-0.007335378788411617,
-0.030158575624227524,
-0.007430702447891235,
-0.05407118424773216,
0.018828682601451874,
0.014516424387693405,
-0.011438833549618721,
0.02002703584730625,
-0.10603617131710052,
0.025746453553438187,
-0.026036962866783142,
-0.04822466894984245,
0.05969981476664543,
-0.03308183327317238,
0.004757102113217115,
-0.01675879955291748,
0.057412050664424896,
-0.018147800117731094,
0.007221898529678583,
-0.018302133306860924,
0.03271869570016861,
-0.03544222563505173,
-0.002889213152229786,
0.062350720167160034,
-0.049822475761175156,
-0.04782521724700928,
-0.002198117086663842,
0.004884200170636177,
0.042704977095127106,
-0.005419827997684479,
-0.019464174285531044,
-0.022205861285328865,
0.013091109693050385,
0.041906073689460754,
-0.032319243997335434,
-0.0331726148724556,
0.030412770807743073,
-0.047752588987350464,
0.0184473879635334,
0.0019745605532079935,
-0.019936252385377884,
-0.05149290710687637,
0.03947305306792259,
0.022006137296557426,
0.021951666101813316,
0.047752588987350464,
0.0432133711874485,
-0.0009231637814082205,
-0.030376456677913666,
0.011602245271205902,
0.02175194025039673,
-0.012591795064508915,
0.014961267821490765,
-0.03191979229450226,
0.016304876655340195,
-0.027725553140044212,
0.10146063566207886,
0.02465704083442688,
0.019736526533961296,
-0.0065092407166957855,
-0.018683427944779396,
-0.03487936407327652,
0.053708046674728394,
-0.02396707981824875,
0.01472522784024477,
-0.04081666097044945,
0.009423419833183289,
0.002716722898185253,
0.012183265760540962,
0.012401147745549679,
0.005283651407808065,
-0.019300760701298714,
0.03293657675385475,
0.009468811564147472,
0.036858461797237396,
0.007834693416953087,
0.042015016078948975,
-0.0092236939817667,
0.019101036712527275,
-0.025691982358694077,
-0.005079386755824089,
0.08097967505455017,
-0.03987250477075577,
0.07066656649112701,
0.04052615165710449,
-0.0234405305236578,
0.027090061455965042,
-0.0026372866705060005,
0.03008594736456871,
0.02787080779671669,
-0.020825939252972603,
-0.04905988648533821,
0.02601880580186844,
-0.049241453409194946,
0.029940692707896233,
0.0337173230946064,
-0.004132959526032209,
-0.018610799685120583,
-0.02011782117187977,
0.03805681690573692,
0.034861207008361816,
-0.012337598949670792,
0.017103780061006546,
0.03498830273747444,
0.016668014228343964,
-0.04521062597632408,
0.0013118344359099865,
0.02756214141845703,
-0.009968126192688942,
0.0035746353678405285,
-0.021534057334065437,
0.021570371463894844,
0.013272677548229694,
-0.005483377259224653,
-0.0208077821880579,
0.021098293364048004,
0.025691982358694077,
-0.03631375730037689,
0.036222971975803375,
0.024257589131593704,
0.012364834547042847,
-0.0210801362991333,
-0.016994837671518326,
0.0035814442671835423,
0.014825090765953064,
0.06772515922784805,
-0.018683427944779396,
0.034534383565187454,
0.0007234381046146154,
-0.02249637246131897,
-0.030412770807743073,
-0.010158773511648178,
0.07066656649112701,
0.03050355613231659,
0.01351779606193304,
-0.0020687493961304426,
-0.010349420830607414,
-0.021515900269150734,
-0.00808888953179121,
-0.028796808794140816,
0.02876049466431141,
0.045174311846494675,
-0.019373388960957527,
0.010685322806239128,
-0.010449283756315708,
-0.037693679332733154,
-0.02338605932891369,
-0.005556004587560892,
0.00012759462697431445,
0.03729422762989998,
0.006205113139003515,
0.016631700098514557,
-0.014534581452608109,
0.001233532908372581,
0.013980796560645103,
-0.03602324798703194,
0.007775682955980301,
-0.019627586007118225,
0.014362090267241001,
-0.013663050718605518,
-0.032845791429281235,
-0.013935403898358345,
0.002814316190779209,
-0.00616426020860672,
0.009768400341272354,
-0.016250405460596085,
-0.00007823060877854005,
-0.018456466495990753,
0.02307739295065403,
-0.011992618441581726,
0.0326823815703392,
-0.027671081945300102,
0.038383640348911285,
0.03921885788440704,
0.03083037957549095,
-0.006627260707318783,
-0.01174749992787838,
-0.03462516516447067,
0.05762993171811104,
-0.039327796548604965,
0.022478215396404266,
-0.001226724125444889,
0.010757950134575367,
0.016786033287644386,
0.012183265760540962,
-0.012028931640088558,
-0.019355231896042824,
-0.009577753022313118,
-0.04978616163134575,
0.024893080815672874,
-0.05712153762578964,
0.0038833024445921183,
-0.010503754019737244,
0.017675720155239105,
-0.017131013795733452,
0.030176730826497078,
-0.015251778066158295,
-0.025328844785690308,
0.003134331200271845,
0.03729422762989998,
-0.040380898863077164,
0.013327148742973804,
-0.009868263266980648,
0.022369274869561195,
0.03994513303041458,
-0.04488380253314972,
0.06765253096818924,
0.03349944204092026,
-0.03144771233201027,
0.02407602034509182,
0.01428038440644741,
0.03578720614314079,
-0.030358299612998962,
0.014679836109280586,
-0.016731563955545425,
0.042123958468437195,
0.021879037842154503,
-0.0023921686224639416,
0.04245078191161156,
-0.009486968629062176,
0.006368524860590696,
0.0017283078050240874,
0.03910991549491882,
-0.018356604501605034,
0.01054006814956665,
0.015605837106704712,
0.0024375608190894127,
0.04869674891233444,
0.018093328922986984,
-0.05657683312892914,
0.005973612889647484,
0.024257589131593704,
0.04945933818817139,
-0.03208320215344429,
0.00800718367099762,
0.0110666174441576,
0.021588528528809547,
-0.05080294609069824,
-0.02017229236662388,
0.011184637434780598,
0.024203117936849594,
0.04404858499765396,
0.01832936890423298,
-0.008252301253378391,
0.028887594118714333,
-0.004432547837495804,
-0.07560524344444275,
0.0030889390036463737,
-0.05341753736138344,
-0.02244190126657486,
0.045392196625471115,
0.022623470053076744,
-0.04172450676560402,
-0.03871046379208565,
-0.018828682601451874,
0.030521713197231293,
0.03673136606812477,
0.048188354820013046,
-0.01530624832957983,
-0.006786133162677288,
0.01590542495250702,
0.07930924743413925,
0.06881456822156906,
0.01011338084936142,
0.005760269705206156,
0.02291398122906685,
-0.02487492375075817,
0.011484225280582905,
-0.015769248828291893,
-0.002364933490753174,
-0.020263075828552246,
0.04550113528966904,
0.027053749188780785,
0.013626737520098686,
-0.00019603755208663642,
0.005415288731455803,
-0.006123407278209925,
0.014089737087488174,
-0.0024012471549212933,
0.043285999447107315,
0.006999476347118616,
-0.04938670992851257,
-1.0638795799877698e-7,
0.009614067152142525,
0.011230029165744781,
-0.021061979234218597,
0.004775259178131819,
0.006595485843718052,
0.01388093363493681,
-0.023258961737155914,
0.020626213401556015,
-0.02113460563123226,
0.03357206657528877,
-0.0326642245054245,
-0.025219904258847237,
0.000006862023383291671,
-0.02866971120238304,
-0.024675197899341583,
0.03351759910583496,
-0.0038855718448758125,
0.037330541759729385,
-0.00635036826133728,
-0.0065591721795499325,
0.032900262624025345,
0.004766180645674467,
-0.00044427611283026636,
0.011257264763116837,
0.05407118424773216,
0.025637513026595116,
-0.012437461875379086,
0.0017396558541804552,
0.02534700185060501,
-0.011320813558995724,
-0.019754683598876,
-0.018356604501605034,
-0.014434718526899815,
0.006531937047839165,
-0.011647637002170086,
0.00482065137475729,
-0.0069177704863250256,
0.0184473879635334,
-0.03322708606719971,
0.023458687588572502,
-0.00995904766023159,
-0.04916882514953613,
0.026145905256271362,
0.02349499985575676,
-0.03925517201423645,
0.048442550003528595,
0.01576017029583454,
0.009931812062859535,
-0.05472483113408089,
0.052073925733566284,
0.03546038269996643,
0.02382182516157627,
0.00874253734946251,
-0.012964011169970036,
0.060244522988796234,
-0.005615014582872391,
0.008674448356032372,
0.028851279988884926,
-0.006708966568112373,
0.0073308395221829414,
0.028106847777962685,
-0.0033544832840561867,
-0.030267516151070595,
0.03881940618157387,
0.026726923882961273,
-0.033808108419179916,
-0.003862875746563077,
0.011366206221282482,
-0.0326823815703392,
0.027598455548286438,
-0.017957152798771858,
-0.022568998858332634,
0.005624093115329742,
0.00215385970659554,
-0.029795438051223755,
0.010794264264404774,
-0.014071580953896046,
-0.007094800006598234,
0.04063509404659271,
-0.034861207008361816,
-0.06547370553016663,
-0.009128370322287083,
-0.021679311990737915,
-0.010431126691401005,
0.010176930576562881,
-0.0022310263011604548,
0.02039017342031002,
-0.003692655125632882,
-0.00453014113008976,
0.021043822169303894,
-0.024475472047924995,
-0.028070533648133278,
-0.019464174285531044,
-0.02280503883957863,
-0.06394852697849274,
-0.05781149864196777,
-0.04513799771666527,
0.03852889686822891,
-0.003547400003299117,
-0.03947305306792259,
0.009414341300725937,
-0.005270034074783325,
-0.010948597453534603,
0.04967721924185753,
-0.00020213711832184345,
-0.01564215123653412,
-0.01786636747419834,
-0.005919142160564661,
0.02222401835024357,
-0.01448918879032135,
0.008706223219633102,
-0.011484225280582905,
0.01069440133869648,
0.012237736023962498,
0.01922813430428505,
-0.00975024327635765,
-0.003851527813822031,
-0.0400540716946125,
-0.04615478590130806,
0.05548742040991783,
0.010149694979190826,
0.04303180053830147,
0.03881940618157387,
-0.013345305807888508,
-0.0019677516538649797,
0.02160668559372425,
0.010313106700778008,
0.03704003244638443,
-0.026962963864207268,
0.008783389814198017,
0.005792044103145599,
0.007653124164789915,
0.006954084150493145,
0.01670432835817337,
-0.0006842873408459127,
0.04484748840332031,
0.0421602725982666,
0.026726923882961273,
-0.021152762696146965,
0.004235092084854841,
0.02180641144514084,
0.04277760535478592,
-0.06543739140033722,
0.038964658975601196,
-0.01769387722015381,
0.01546058151870966,
-0.032101359218358994,
-0.029831750318408012,
0.03061249665915966,
0.0003432784869801253,
0.03805681690573692,
0.014189600013196468,
-0.01728534884750843,
-0.016313955187797546,
-0.03166559711098671,
0.017303505912423134,
0.050548750907182693,
0.05120239779353142,
-0.11693029850721359,
0.011756578460335732,
-0.028433671221137047,
0.00360187073238194,
-0.029414143413305283,
-0.008211447857320309,
-0.01906472258269787,
0.018520016223192215,
0.0073308395221829414,
-0.03175637871026993,
0.02438468672335148,
0.0033862576819956303,
0.022042449563741684,
0.01142975501716137,
-0.006354907527565956,
-0.010912284255027771,
-0.012709815055131912,
-0.010158773511648178,
0.022006137296557426,
0.01659538596868515,
-0.0074760946445167065,
0.00709933927282691,
0.007703055627644062,
0.011366206221282482,
0.0234405305236578,
0.03199242055416107,
0.04568270593881607,
0.016795111820101738,
-0.004355381242930889,
0.018737899139523506,
-0.04277760535478592,
-0.0195004865527153,
-0.03155665472149849,
0.023349745199084282,
-0.011121087707579136,
-0.007394388783723116,
0.002516997279599309,
0.028996534645557404,
0.030158575624227524,
0.028070533648133278,
0.032210301607847214,
-0.01644105277955532,
0.013318070210516453,
0.05036718025803566,
0.022932136431336403,
-0.0008454296621493995,
0.06525582075119019,
-0.03462516516447067,
0.03150218352675438,
-0.0037221601232886314,
0.04092560335993767,
0.049350395798683167,
0.029268886893987656,
-0.00021632217976730317,
-0.010521911084651947,
0.0074760946445167065,
-0.022696098312735558,
-0.015496895648539066,
0.036368228495121,
0.006105250213295221,
0.023803668096661568,
0.026835866272449493,
-0.008320389315485954,
0.025056492537260056,
-0.013127422891557217,
-0.006722584366798401,
-0.038020502775907516,
-0.03994513303041458,
-0.011175558902323246,
0.0016227710293605924,
-0.03538775444030762,
-0.018565408885478973,
0.003944581840187311,
-0.02465704083442688,
0.06434797495603561,
-0.03867414966225624,
0.031847164034843445,
0.022006137296557426,
0.03393520414829254,
-0.042123958468437195,
-0.015052052214741707,
-0.014461953192949295,
0.022314803674817085,
-0.018992094323039055,
-0.025383315980434418,
0.005773887503892183,
0.013254521414637566,
-0.013327148742973804,
0.0006820177659392357,
0.006722584366798401,
-0.00048371058073826134,
0.040489837527275085,
-0.006631799973547459,
-0.031211674213409424,
0.002684948267415166,
-0.03660426661372185,
-0.004956827964633703,
0.03520618751645088,
0.0084293307736516,
0.02997700683772564,
0.01792083866894245,
-0.003692655125632882,
-0.008197830989956856,
0.022260332480072975,
0.004046714399009943,
-0.004829729441553354,
-0.030685124918818474,
-0.01906472258269787,
0.044339098036289215,
0.057666245847940445,
0.012655343860387802,
-0.024566255509853363,
0.009260008111596107,
-0.004500636365264654,
-0.02091672457754612,
-0.04147031158208847,
0.011520539410412312,
-0.028851279988884926,
0.02465704083442688,
0.023295274004340172,
0.023622099310159683,
0.017249034717679024,
-0.0032296546269208193,
0.06612735241651535,
0.01045836228877306,
-0.001486594439484179,
-0.018211347982287407,
-0.016940368339419365,
-0.03182900696992874,
0.0021368376910686493,
0.01232852041721344,
-0.09550517797470093,
0.0035678264684975147,
-0.010222322307527065,
-0.003141139866784215,
0.011230029165744781,
-0.05167447403073311,
0.012428383342921734,
-0.06768884509801865,
-0.012464696541428566,
-0.023567628115415573
] |
This paper presents a methodology for integrating machine learning techniques
into metaheuristics for solving combinatorial optimization problems. Namely, we
propose a general machine learning framework for neighbor generation in
metaheuristic search. We first define an efficient neighborhood structure
constructed by applying a transformation to a selected subset of variables from
the current solution. Then, the key of the proposed methodology is to generate
promising neighbors by selecting a proper subset of variables that contains a
descent of the objective in the solution space. To learn a good variable
selection strategy, we formulate the problem as a classification task that
exploits structural information from the characteristics of the problem and
from high-quality solutions. We validate our methodology on two metaheuristic
applications: a Tabu Search scheme for solving a Wireless Network Optimization
problem and a Large Neighborhood Search heuristic for solving Mixed-Integer
Programs. The experimental results show that our approach is able to achieve a
satisfactory trade-off between the exploration of a larger solution space and
the exploitation of high-quality solution regions on both applications. | [
-0.03607602417469025,
0.021715326234698296,
-0.03687771409749985,
-0.015336667187511921,
0.033078402280807495,
0.0582096241414547,
-0.02229045145213604,
0.02061736024916172,
-0.008618161082267761,
0.02987164445221424,
0.007088851649314165,
0.012835744768381119,
-0.019449682906270027,
-0.037749115377664566,
-0.05674567073583603,
0.016138356178998947,
-0.01646948978304863,
-0.06329860538244247,
0.020599933341145515,
-0.03956162929534912,
0.005585683975368738,
0.00893186591565609,
0.007193419616669416,
0.05932501703500748,
0.010779237374663353,
-0.0060823829844594,
0.01519724354147911,
-0.03166673332452774,
-0.1415853202342987,
0.041966699063777924,
-0.0032350781839340925,
0.025549493730068207,
-0.01686161942780018,
-0.02504407986998558,
-0.011763921007514,
-0.01918826252222061,
-0.0017460709204897285,
0.05510743334889412,
-0.039735909551382065,
0.030359629541635513,
0.0606146939098835,
-0.016094787046313286,
0.0050584860146045685,
-0.04092101752758026,
0.03597145527601242,
-0.033165544271469116,
-0.03356638923287392,
-0.02216845564544201,
-0.04918190464377403,
-0.0322941429913044,
0.009001578204333782,
-0.02826826646924019,
0.03764454647898674,
-0.018647992983460426,
-0.0277105700224638,
0.023614982143044472,
0.037226274609565735,
0.014534978196024895,
0.02058250457048416,
0.003618494840338826,
0.027048304677009583,
-0.038864508271217346,
-0.025410069152712822,
0.007607335690408945,
-0.00429600989446044,
-0.07849585264921188,
0.024625808000564575,
-0.0111626535654068,
0.050262439996004105,
-0.013262731954455376,
-0.04632370546460152,
-0.009271712973713875,
0.00033194952993653715,
0.005293764639645815,
0.018926842138171196,
0.03816738724708557,
-0.0032895407639443874,
0.019484538584947586,
-0.0346992090344429,
-0.013349872082471848,
0.014569833874702454,
-0.012914171442389488,
0.027344580739736557,
-0.01354158017784357,
0.037470266222953796,
0.009376280941069126,
0.03426351025700569,
-0.07828671485185623,
0.01694875955581665,
-0.02696116454899311,
-0.06511112302541733,
0.010151827707886696,
0.015049104578793049,
0.034559786319732666,
-0.0018146937945857644,
0.04430205374956131,
0.034315794706344604,
-0.02445152774453163,
-0.06040555611252785,
0.02225559577345848,
0.004535645246505737,
-0.030969610437750816,
-0.0026294542476534843,
0.031074179336428642,
0.03238128125667572,
-0.001514060189947486,
-0.0016055573942139745,
0.0015848615439608693,
0.0010184505954384804,
0.09940949082374573,
0.009480848908424377,
0.013985995203256607,
0.056362252682447433,
0.03938734903931618,
-0.04092101752758026,
-0.021401621401309967,
-0.0355008989572525,
-0.046079713851213455,
-0.016896476969122887,
-0.0386902280151844,
0.014691830612719059,
0.08044779300689697,
0.04255925118923187,
-0.014247415587306023,
-0.07751987874507904,
0.01591179147362709,
-0.04534773528575897,
0.03346182033419609,
0.014900966547429562,
0.011101655662059784,
0.02615947462618351,
0.0028385906480252743,
0.07710161060094833,
-0.030080782249569893,
0.047055684030056,
0.03719141706824303,
0.026490606367588043,
-0.011406646110117435,
-0.026630030944943428,
-0.014988106675446033,
0.01882227323949337,
-0.03480377793312073,
-0.054096609354019165,
0.019310258328914642,
0.04485975205898285,
0.004017161205410957,
0.005446259863674641,
0.06406544148921967,
-0.03994504734873772,
0.03327011317014694,
-0.07340686768293381,
0.016051216050982475,
-0.011807491071522236,
0.01782887615263462,
0.03234642744064331,
0.04405806213617325,
-0.015510947443544865,
0.0020684893243014812,
0.026089763268828392,
0.038620516657829285,
0.04601000249385834,
-0.054096609354019165,
0.0009471045923419297,
0.044127773493528366,
-0.026490606367588043,
0.058488473296165466,
-0.03649429604411125,
-0.0015913971001282334,
-0.0661916583776474,
0.04430205374956131,
-0.03489091992378235,
-0.029923928901553154,
-0.006796932313591242,
0.046672265976667404,
-0.008256529457867146,
-0.0025205290876328945,
-0.017698165029287338,
0.027815137058496475,
0.0012428364716470242,
0.008334956131875515,
-0.08755842596292496,
-0.021785039454698563,
0.04297752305865288,
0.02934880368411541,
0.014927108772099018,
0.014090563170611858,
0.0693635642528534,
-0.02866911143064499,
0.04402320832014084,
-0.007446126081049442,
0.010134399868547916,
0.013393442146480083,
0.02480008825659752,
0.0065398686565458775,
0.008378526195883751,
-0.05071556940674782,
-0.037470266222953796,
0.023440701887011528,
-0.020965920761227608,
0.021105345338582993,
-0.014604690484702587,
-0.061834655702114105,
-0.007093208841979504,
-0.0021785038989037275,
0.012147338129580021,
-0.0014715794241055846,
-0.0079733245074749,
-0.045243170112371445,
-0.07152464240789413,
-0.04733453318476677,
0.019885383546352386,
-0.003945270553231239,
-0.04032846540212631,
0.03597145527601242,
0.005215338431298733,
-0.03185844048857689,
0.03903878852725029,
-0.03327011317014694,
-0.04646313190460205,
0.008600733242928982,
0.043047238141298294,
0.05416632071137428,
0.07396456599235535,
-0.029679937288165092,
0.03480377793312073,
0.04036331921815872,
0.036110881716012955,
-0.047961942851543427,
-0.022273024544119835,
0.023179281502962112,
0.020111948251724243,
0.03433322161436081,
0.009742269292473793,
-0.00851359311491251,
-0.00996883399784565,
0.043604932725429535,
0.01503167673945427,
-0.029174523428082466,
0.021645614877343178,
-0.04960017651319504,
-0.03438550606369972,
-0.035274334251880646,
-0.045766010880470276,
-0.04991387948393822,
0.08121462166309357,
-0.043326083570718765,
0.0016872512642294168,
0.005659752991050482,
0.0434655100107193,
0.04370950162410736,
-0.01897912658751011,
-0.007053995504975319,
0.030446769669651985,
-0.03302611783146858,
-0.04761338233947754,
0.0036250303965061903,
0.007363343145698309,
-0.022673867642879486,
0.0010930643184110522,
-0.031562164425849915,
0.019467109814286232,
-0.009167144075036049,
0.04872877523303032,
0.019240546971559525,
-0.01599893346428871,
0.02321413718163967,
0.07201262563467026,
-0.03544861450791359,
-0.03645944222807884,
0.03234642744064331,
-0.06451857089996338,
-0.046602554619312286,
-0.004496431909501553,
0.007637834642082453,
0.021750181913375854,
-0.06413515657186508,
0.01659148558974266,
-0.03353153169155121,
-0.0009264088002964854,
0.03421122580766678,
-0.01857828162610531,
0.0155545175075531,
0.032485850155353546,
0.027536289766430855,
0.028128841891884804,
-0.028041701763868332,
-0.024172678589820862,
-0.000041663886804599315,
-0.06490198522806168,
-0.04520831257104874,
-0.013367299921810627,
0.02839026227593422,
-0.027257440611720085,
-0.008966721594333649,
-0.0041456930339336395,
0.01417770329862833,
0.007284916937351227,
-0.004740424454212189,
0.023196710273623466,
-0.018839702010154724,
0.0024878515396267176,
-0.015903078019618988,
0.022081315517425537,
0.01519724354147911,
-0.04179241880774498,
0.006417872384190559,
-0.019083693623542786,
0.05291150137782097,
-0.04318666085600853,
-0.008901366963982582,
0.04088615998625755,
0.037470266222953796,
0.019048837944865227,
0.0030324773397296667,
-0.007533266209065914,
0.015772368758916855,
0.0542360320687294,
-0.039422206580638885,
-0.04778766259551048,
-0.02962765283882618,
-0.029801933094859123,
-0.020687073469161987,
-0.07912325859069824,
0.0327124148607254,
0.003945270553231239,
-0.008940580300986767,
-0.042175836861133575,
0.07264003157615662,
-0.02547978237271309,
0.03340953588485718,
-0.009611559100449085,
-0.006112881936132908,
-0.05367833748459816,
-0.025671489536762238,
-0.004714282229542732,
-0.005285050254315138,
-0.01198177132755518,
0.05859304219484329,
-0.0038014892488718033,
0.012687606737017632,
-0.03203272074460983,
0.008260887116193771,
0.0017765698721632361,
0.0283205509185791,
-0.004376614466309547,
-0.007637834642082453,
-0.044371768832206726,
0.027292296290397644,
0.03377552330493927,
-0.03246842324733734,
0.0007793597760610282,
0.016582772135734558,
0.036354873329401016,
-0.0059821717441082,
0.01399470865726471,
-0.008243458345532417,
-0.07445254921913147,
-0.0019584749825298786,
0.020146803930401802,
0.008910081349313259,
0.04768309369683266,
-0.02436438761651516,
-0.03157959133386612,
-0.02915709652006626,
-0.028965387493371964,
0.06727220118045807,
0.01238261628895998,
0.02412039414048195,
-0.002537956926971674,
-0.0043962206691503525,
0.014500121586024761,
0.012914171442389488,
0.02500922419130802,
0.018961697816848755,
-0.027484005317091942,
0.01897912658751011,
0.039073646068573,
-0.021070489659905434,
0.006304590031504631,
0.02089620940387249,
0.022830720990896225,
0.016129642724990845,
-0.023353561758995056,
-0.04405806213617325,
-0.08002951741218567,
0.05866275355219841,
-0.006823074072599411,
-0.05730336531996727,
-0.043883781880140305,
0.0737554281949997,
0.021087918430566788,
0.0027841280680149794,
0.0010778148425742984,
-0.06636594235897064,
0.0386902280151844,
-0.014473979361355305,
0.027205156162381172,
-0.023475557565689087,
0.027971990406513214,
-0.034036945551633835,
-0.053817760199308395,
-0.030202778056263924,
0.0005429920856840909,
-0.009210714139044285,
-0.008348027244210243,
-0.016321351751685143,
-0.04991387948393822,
-0.0606146939098835,
-0.06148609519004822,
-0.0034267865121364594,
0.06434429436922073,
-0.04099072888493538,
-0.014038278721272945,
-0.0032786482479423285,
-0.028494831174612045,
-0.02603747881948948,
-0.03034220263361931,
-0.001225408399477601,
0.01962396316230297,
-0.09104403108358383,
-0.019118549302220345,
-0.02615947462618351,
0.024346958845853806,
0.00891443807631731,
0.007903612218797207,
0.048031654208898544,
-0.027292296290397644,
0.004110836889594793,
-0.016896476969122887,
-0.008574591018259525,
0.05653653293848038,
0.006313304416835308,
-0.006125953048467636,
-0.0634380355477333,
0.011197510175406933,
0.010570100508630276,
0.00827831495553255,
-0.0006600866909138858,
-0.06089353933930397,
-0.02188960649073124,
0.026647459715604782,
-0.04078159108757973,
-0.02114020101726055,
-0.020321084186434746,
-0.02624661475419998,
-0.018404001370072365,
-0.03823709860444069,
-0.030324773862957954,
-0.01377685833722353,
-0.009794553741812706,
-0.06685392558574677,
0.030133064836263657,
-0.08797670155763626,
-0.022395020350813866,
0.01666991226375103,
-0.06026612967252731,
-0.04102558642625809,
-0.012208336032927036,
0.026630030944943428,
-0.0009835944510996342,
-0.010047259740531445,
0.04932132735848427,
0.011554785072803497,
-0.06451857089996338,
-0.009463421069085598,
0.009602844715118408,
-0.054898299276828766,
-0.046602554619312286,
-0.0036577079445123672,
-0.012678892351686954,
0.04381407052278519,
-0.05294635891914368,
0.0426638200879097,
-0.0053678336553275585,
0.0011622317833825946,
0.006125953048467636,
-0.010970945470035076,
-0.0642048642039299,
-0.0037971322890371084,
-0.03607602417469025,
0.025183504447340965,
0.014238701201975346,
0.011668066494166851,
0.017201466485857964,
-0.013837856240570545,
-0.006313304416835308,
0.05235380679368973,
0.0009481938323006034,
0.02516607753932476,
0.003960520029067993,
-0.0462539941072464,
0.04235011711716652,
-0.016181927174329758,
-0.015057818964123726,
0.01730603538453579,
0.025549493730068207,
-0.003211114788427949,
-0.059394728392362595,
0.029801933094859123,
0.029296521097421646,
0.00883165467530489,
-0.02053022012114525,
0.012739891186356544,
0.01397728081792593,
0.006688007153570652,
0.0069712125696241856,
0.024695519357919693,
0.0004294375830795616,
0.03185844048857689,
-0.0035400688648223877,
0.017018472775816917,
0.0350826270878315,
-0.031527306884527206,
-0.02145390585064888,
0.004487717989832163,
0.06364716589450836,
0.04653284326195717,
-0.027693141251802444,
0.0526326522231102,
0.017245037481188774,
0.040293607860803604,
-0.004150049760937691,
0.00829574279487133,
0.04810136556625366,
-0.010648527182638645,
0.05399204045534134,
0.018491141498088837,
-0.021035633981227875,
0.033636100590229034,
0.0020053128246217966,
-0.04817107692360878,
0.024277247488498688,
0.002858197083696723,
-0.03513491153717041,
-0.030795330181717873,
-0.044092919677495956,
0.04238497093319893,
-0.014900966547429562,
-0.01734089106321335,
-0.022081315517425537,
0.010718239471316338,
0.0426638200879097,
0.016094787046313286,
-0.03733084350824356,
0.05698966234922409,
0.023702122271060944,
0.037818826735019684,
-0.019711103290319443,
-0.0063089472241699696,
-0.03980562463402748,
-0.02835540659725666,
0.02847740240395069,
0.017532600089907646,
0.00016202623373828828,
-0.04433691129088402,
0.0007374235428869724,
0.002696987707167864,
-0.04339579865336418,
-0.05113384500145912,
-0.04670712351799011,
0.009210714139044285,
-0.010814093053340912,
0.016007646918296814,
-0.023946113884449005,
-0.004927775822579861,
-0.0058427476324141026,
0.006722862832248211,
0.034280937165021896,
-0.04621914029121399,
0.035588040947914124,
-0.026211759075522423,
0.010003689676523209,
-0.030777903273701668,
-0.02049536444246769,
-0.00007856229785829782,
0.016216782853007317,
-0.00032895407639443874,
-0.004108658526092768,
-0.005624896846711636,
-0.03698228299617767,
0.012086339294910431,
-0.025776058435440063,
0.02894795872271061,
-0.004788351710885763,
0.04074673727154732,
0.0229352880269289,
-0.05151725932955742,
0.015685228630900383,
-0.009576703421771526,
-0.007825185544788837,
0.008670445531606674,
0.016016360372304916,
-0.019728532060980797,
-0.02181989513337612,
0.017323462292551994,
0.04792708531022072,
0.016260353848338127,
-0.03114389069378376,
0.013227875344455242,
-0.005450616590678692,
0.050471577793359756,
0.008165032602846622,
0.0072021340020000935,
-0.00537219038233161,
0.017689451575279236,
-0.003381038084626198,
0.0060213846154510975,
0.015885651111602783,
0.007794687058776617,
0.0013866177760064602,
-0.0010282538132742047,
0.003513926872983575,
0.060440413653850555,
-0.04395349323749542,
-0.0035487827844917774,
0.0506458580493927,
-0.026351183652877808,
0.04569629579782486,
-0.007929754443466663,
-0.008221673779189587,
0.04172270745038986,
-0.024155251681804657,
-0.0023484271951019764,
0.03302611783146858,
0.005594397895038128,
0.07480110973119736,
-0.013724574819207191,
-0.041896987706422806,
-0.026752028614282608,
0.011110370047390461,
-0.01878741756081581,
0.00831317063421011,
-0.013053595088422298,
-0.025026652961969376,
0.03321782872080803,
0.013210447505116463,
0.005193553399294615,
0.04479004070162773,
0.04207126796245575,
0.014526263810694218,
-0.053294919431209564,
-0.008578948676586151,
-0.014866110868752003,
0.02114020101726055,
0.009428564459085464,
-0.004470290150493383,
0.010596242733299732,
-0.015842080116271973,
0.029540512710809708,
-0.0014389017596840858,
0.02887824736535549,
0.008230387233197689,
-0.01218219380825758,
0.028843391686677933,
-0.024434098973870277,
-0.04768309369683266,
-0.0035509613808244467,
0.023527842015028,
-0.013193019665777683,
0.013968567363917828,
0.00011389490828150883,
0.02058250457048416,
-0.035866886377334595,
0.022063886746764183,
0.005001844838261604,
-0.004272046033293009,
0.014857396483421326,
-0.014290985651314259,
-0.005851461552083492,
0.01219962164759636,
-0.03903878852725029,
0.008082249201834202,
-0.03518719598650932,
0.021314481273293495,
-0.013593864627182484,
-0.019728532060980797,
0.010273824445903301,
0.05092470720410347,
0.006979926489293575,
-0.018874557688832283,
-0.0023092140909284353,
-0.00911486055701971,
-0.02743172086775303,
0.010465532541275024,
-0.029279092326760292,
-0.006770790088921785,
-0.044406622648239136,
0.014247415587306023,
-0.0243295319378376,
0.026107190176844597,
-0.028303122147917747,
0.004500789102166891,
0.056013692170381546,
-0.0010789040243253112,
-0.002655596239492297,
-0.003254684852436185,
0.021279625594615936,
-0.029000243172049522,
0.02093106508255005,
-0.014988106675446033,
-0.0012014448875561357,
-0.01544994954019785,
-0.013062309473752975,
0.019867954775691032,
0.001971546094864607,
0.0034158939961344004,
0.0047273533418774605,
0.009358853101730347,
-0.03924792632460594,
0.005184839479625225,
0.03382780775427818,
0.03433322161436081,
0.014343269169330597,
0.05730336531996727,
0.025654062628746033,
-0.03466435521841049,
-0.015005534514784813,
0.0034376790281385183,
-0.004461575765162706,
-0.006579081527888775,
-0.011694208718836308,
0.054898299276828766,
0.00767704751342535,
-0.0271180160343647,
-0.02520093321800232,
-0.0011393575696274638,
0.04322151839733124,
0.03544861450791359,
-0.0014530620537698269,
-0.024852372705936432,
-0.017288606613874435,
-0.007489696145057678,
-0.04032846540212631,
0.01587693579494953,
0.009506991133093834,
0.0036642435006797314,
0.015615515410900116,
0.0029997997917234898,
-0.04008447006344795,
-0.023824118077754974,
0.01557194534689188,
-0.011511214077472687,
0.011493786238133907,
0.0038210959173738956,
0.008700944483280182,
0.014622118324041367,
0.02439924329519272,
0.005951672792434692,
0.0023745691869407892,
0.044406622648239136,
0.06943327933549881,
-0.03333982452750206,
0.05587426945567131,
-0.07368571311235428,
-0.04573115333914757,
0.02030365541577339,
0.027815137058496475,
-0.017410602420568466,
0.023754406720399857,
0.020251372829079628,
-0.025375213474035263,
-0.007594264578074217,
0.030115637928247452,
0.01774173602461815,
0.01962396316230297,
0.01260046660900116,
-0.04092101752758026,
0.00671850610524416,
0.022743580862879753,
-0.038864508271217346,
-0.007672690786421299,
0.011371790431439877,
0.03956162929534912,
-0.04004961624741554,
-0.029923928901553154,
-0.004008447285741568,
-0.018491141498088837,
0.04290781170129776,
0.02807655744254589,
0.032276712357997894,
-0.025270644575357437,
0.002707880223169923,
0.012548182159662247,
0.021523619070649147,
-0.017358319833874702,
-0.011772635392844677,
-0.004479004070162773,
0.010657240636646748,
0.0017035900382325053,
-0.02384154684841633,
0.0011938201496377587,
0.007228275761008263,
0.0015009891940280795,
0.025654062628746033,
0.05148240551352501,
-0.017323462292551994,
0.01706204190850258,
0.02368469350039959,
0.009158430621027946,
0.0012177836615592241,
0.00064320326782763,
0.028616826981306076,
-0.007433055434376001,
0.003017227863892913,
-0.034960631281137466,
0.02783256582915783,
-0.05015787482261658,
-0.014927108772099018,
0.006195664871484041,
0.014142847619950771,
0.018090296536684036,
-0.019589107483625412,
-0.009088718332350254,
-0.049391038715839386,
0.0785655677318573,
0.025061508640646935,
-0.003193686716258526,
0.0018833165522664785,
-0.028651682659983635,
-0.03618059307336807,
0.013829142786562443,
-0.012051483616232872,
-0.007184705697000027,
0.01882227323949337,
-0.08044779300689697,
-0.002527064410969615,
-0.013332444243133068,
-0.013010025024414062,
0.024224963039159775,
0.008801155723631382,
0.019362542778253555,
-0.0006693453178741038,
-0.03701713681221008,
-0.016338778659701347,
-0.028616826981306076,
0.07033953070640564,
-0.05733822286128998,
0.03760969266295433,
-0.012347759678959846,
0.024852372705936432,
-0.0307081900537014,
0.015589374117553234,
0.00650936970487237,
-0.03297383338212967,
-0.027727996930480003,
0.034751493483781815,
-0.025863198563456535,
0.013062309473752975,
0.017881160601973534,
0.018613137304782867,
0.0014029565500095487,
0.006195664871484041,
0.009899121709167957,
0.016940046101808548,
-0.013742002658545971,
0.014622118324041367,
0.03618059307336807,
0.026142045855522156,
-0.03684285655617714,
-0.021436478942632675,
0.012713748961687088,
0.055804554373025894,
0.006430943496525288,
-0.00851359311491251,
0.0239286869764328,
-0.06678421795368195,
0.0016316993860527873,
-0.020268799737095833,
-0.05803534388542175,
-0.02999364212155342,
0.0038363453932106495,
0.03544861450791359,
-0.03424607962369919,
0.04214097931981087,
0.023458130657672882,
-0.018194863572716713,
0.045522015541791916,
-0.002986728912219405,
0.022116171196103096,
-0.019867954775691032,
-0.028285695239901543,
-0.04649798572063446,
0.011859775520861149,
-0.03339210897684097,
0.05475887283682823,
-0.03203272074460983,
-0.012539468705654144,
-0.021471334621310234,
0.00556389894336462,
-0.03318297117948532,
-0.02910481207072735,
0.06193922087550163,
0.007916683331131935,
-0.002302678534761071,
0.003376681124791503,
0.028564542531967163,
-0.03719141706824303,
-0.022482160478830338,
-0.00043842391460202634,
0.06145123764872551,
0.004043303430080414,
-0.016582772135734558,
0.04039817675948143,
0.0006165166269056499,
0.025532064959406853,
-0.0058340332470834255,
0.03896907716989517,
-0.0013920640340074897,
0.01978081464767456,
0.04269867762923241,
-0.024660663679242134,
0.02244730480015278,
-0.0015107924118638039,
-0.04367464408278465,
0.02464323677122593,
0.016722196713089943,
0.011293363757431507,
-0.04119986668229103,
-0.004888562951236963,
0.008130176924169064,
0.05793077498674393,
0.018839702010154724,
0.013681004755198956,
0.03154473751783371,
-0.04566144198179245,
0.007415627129375935,
0.015397665090858936,
0.030812758952379227,
0.05486344173550606,
-0.0410604402422905,
-0.06472770869731903,
0.017035899683833122,
0.017375746741890907,
-0.0048711346462368965,
0.018525997176766396,
-0.028459975495934486,
0.031562164425849915,
0.005228409543633461,
-0.032555561512708664,
0.009628986939787865,
-0.04311694949865341,
0.042768388986587524,
0.01702718622982502,
0.00829574279487133,
0.018247148022055626,
0.012870601378381252,
0.014290985651314259,
0.028930531814694405,
-0.05678052455186844,
0.021680470556020737,
-0.008003823459148407,
-0.0522492378950119,
0.02572377398610115,
-0.009289140813052654,
-0.02603747881948948,
-0.011275935918092728,
-0.014639546163380146,
0.02256930060684681,
0.008134533651173115,
0.0362851619720459,
0.0318932980298996,
0.03872508555650711,
-0.041409000754356384,
-0.001405135029926896,
-0.03865537419915199,
0.02476523257791996,
0.018003156408667564,
0.02316185273230076,
-0.03243356570601463,
0.011659353040158749,
0.011790063232183456,
-0.024155251681804657,
0.00989040732383728,
0.036145735532045364,
0.019798243418335915,
0.02556692250072956,
-0.025776058435440063,
-0.004391863942146301,
-0.02547978237271309,
0.014604690484702587,
0.05291150137782097,
0.004618428181856871,
-0.019571678712964058,
0.010770522989332676,
-0.007250060793012381,
0.011371790431439877,
-0.01377685833722353,
-0.021384194493293762,
0.021157629787921906,
-0.028965387493371964,
0.020634789019823074,
0.0042524393647909164,
0.03396723419427872,
0.008870868012309074,
-0.006030098535120487,
-0.007951539009809494,
0.018194863572716713,
0.008082249201834202,
0.03461207076907158,
0.02875625155866146,
-0.03726113215088844,
-0.01659148558974266,
0.016120929270982742,
0.07079266011714935,
-0.008051750250160694,
0.020042235031723976,
0.05395718291401863,
-0.03293897956609726,
0.015266954898834229,
0.023109570145606995,
-0.0013125486439093947,
0.0027013448998332024,
-0.004078159108757973,
0.01194691564887762,
-0.014691830612719059,
0.01822972111403942,
-0.024312103167176247,
0.07877469807863235,
0.04245468229055405,
-0.02528807334601879,
0.049425896257162094,
-0.06511112302541733,
-0.08720986545085907,
0.03408923000097275
] |
Deep Reinforcement Learning is emerging as a promising approach for the
continuous control task of robotic arm movement. However, the challenges of
learning robust and versatile control capabilities are still far from being
resolved for real-world applications, mainly because of two common issues of
this learning paradigm: the exploration strategy and the slow learning speed,
sometimes known as "the curse of dimensionality". This work aims at exploring
and assessing the advantages of the application of Quantum Computing to one of
the state-of-art Reinforcement Learning techniques for continuous control -
namely Soft Actor-Critic. Specifically, the performance of a Variational
Quantum Soft Actor-Critic on the movement of a virtual robotic arm has been
investigated by means of digital simulations of quantum circuits. A quantum
advantage over the classical algorithm has been found in terms of a significant
decrease in the amount of required parameters for satisfactory model training,
paving the way for further promising developments. | [
0.00021828466560691595,
0.009831855073571205,
-0.02959923818707466,
-0.018039466813206673,
-0.028095949441194534,
-0.0035746307112276554,
-0.003220407525077462,
0.02512393146753311,
-0.061963148415088654,
0.09047380089759827,
0.0096072256565094,
0.004954805597662926,
0.01764204539358616,
-0.012043589726090431,
-0.020544948056340218,
0.08998998254537582,
0.007399809546768665,
0.005274470429867506,
-0.05228680372238159,
-0.02794043719768524,
0.019076216965913773,
0.0037711814511567354,
-0.041504595428705215,
0.028890792280435562,
0.009719540365040302,
0.030860619619488716,
0.01155113335698843,
-0.001352095976471901,
-0.08107392489910126,
0.050005953758955,
-0.009520829655230045,
0.012864351272583008,
-0.015430309809744358,
0.0039785318076610565,
0.0006765879807062447,
-0.01562901958823204,
-0.026177961379289627,
0.0009994927095249295,
-0.03614804893732071,
0.004449389409273863,
0.04198841378092766,
0.007646038196980953,
-0.022912194952368736,
-0.018989821895956993,
0.011913996189832687,
-0.010471184737980366,
-0.015603101812303066,
-0.00845383945852518,
-0.03390175476670265,
-0.0038100597448647022,
-0.0013650554465129972,
-0.008643911220133305,
0.02719743363559246,
-0.02956468053162098,
-0.011922636069357395,
0.005097358953207731,
0.044822197407484055,
-0.007987301796674728,
0.046722907572984695,
0.0000938205630518496,
0.029581960290670395,
-0.00803481973707676,
-0.0864650309085846,
0.004185881931334734,
0.003131851786747575,
-0.11100146919488907,
0.02132251113653183,
-0.048001568764448166,
-0.010946362279355526,
-0.01513656321913004,
-0.09316935390233994,
0.00007613639900228009,
-0.0507662370800972,
-0.010488463565707207,
0.035629674792289734,
0.016484340652823448,
0.03891271725296974,
0.029046304523944855,
-0.017037274315953255,
0.04236855357885361,
0.03652819246053696,
0.0397421196103096,
-0.04979860410094261,
-0.05190666392445564,
0.09683253616094589,
-0.03359073027968407,
0.04751775041222572,
-0.06044257804751396,
0.011309225112199783,
-0.019698267802596092,
-0.09206347912549973,
0.04665379226207733,
-0.004868409596383572,
-0.012682919390499592,
-0.00978865660727024,
-0.020665902644395828,
-0.04326707124710083,
-0.009840494021773338,
-0.011490656062960625,
0.002189056482166052,
0.009304839186370373,
-0.02918453887104988,
0.006712962407618761,
-0.014238046482205391,
0.016268350183963776,
-0.08411505818367004,
-0.10671623051166534,
-0.01583637110888958,
0.00012372164928819984,
0.1350540816783905,
-0.0043284352868795395,
-0.027249271050095558,
-0.02215191163122654,
0.0006290702149271965,
-0.07277991622686386,
-0.00038662171573378146,
-0.0053263078443706036,
-0.022964032366871834,
-0.04540969058871269,
-0.044234707951545715,
0.01331361010670662,
0.07810190320014954,
0.004652419593185186,
-0.017002714797854424,
-0.03887816146016121,
0.0363553985953331,
0.02583237737417221,
0.030204011127352715,
-0.0011112673673778772,
0.036044374108314514,
0.0024990017991513014,
0.0070715053007006645,
-0.014531792141497135,
-0.03991490975022316,
0.009183885529637337,
-0.049211110919713974,
0.00867414940148592,
0.009166605770587921,
0.01103275828063488,
-0.02244565822184086,
0.013261772692203522,
-0.07277991622686386,
0.013745589181780815,
0.021374348551034927,
0.015222959220409393,
0.012017671018838882,
-0.057608794420957565,
0.034990344196558,
0.0030497757252305746,
0.004134044516831636,
-0.03457564488053322,
0.02298131212592125,
-0.031361714005470276,
-0.019611870869994164,
0.06949687004089355,
0.01758156716823578,
-0.0459626242518425,
0.022341983392834663,
0.04496043175458908,
-0.04471852257847786,
0.04185017943382263,
-0.0010815687710419297,
0.005926759447902441,
0.08031363785266876,
0.02004385180771351,
0.02740478329360485,
0.004235559608787298,
0.0034990343265235424,
-0.07637398689985275,
0.01957731321454048,
-0.01300258468836546,
-0.009840494021773338,
-0.0008002421236597002,
0.005563896615058184,
0.016181953251361847,
0.021668095141649246,
0.051111821085214615,
0.0015216480242088437,
-0.037945084273815155,
-0.021754490211606026,
-0.07865484058856964,
0.034834831953048706,
0.011188270524144173,
0.10049572587013245,
0.0781710222363472,
0.017382856458425522,
0.05601910874247551,
-0.006842555943876505,
0.020735017955303192,
0.015551264397799969,
0.01005648449063301,
-0.02906358428299427,
0.029858427122235298,
-0.003650227328762412,
0.017356937751173973,
-0.0024622834753245115,
0.00015348773740697652,
0.02876983769237995,
0.011343782767653465,
0.034886669367551804,
-0.026108844205737114,
-0.04865817725658417,
0.012371894903481007,
-0.02082141488790512,
0.03414366394281387,
0.00527879036962986,
0.0002427185099804774,
-0.0554661750793457,
0.0167867261916399,
-0.026592660695314407,
0.02152986079454422,
0.01416028942912817,
-0.03267493471503258,
-0.05004051327705383,
-0.03372896462678909,
-0.008773504756391048,
0.0015583662316203117,
0.012907548807561398,
-0.08031363785266876,
-0.02716287411749363,
-0.06109918653964996,
0.013693751767277718,
0.04226487874984741,
-0.028666162863373756,
-0.06973878294229507,
0.00946035236120224,
-0.017814837396144867,
-0.05249415710568428,
-0.005576855968683958,
0.01817769929766655,
-0.014194848015904427,
0.006000196095556021,
0.013918381184339523,
0.03849801793694496,
0.0015194880543276668,
0.029461005702614784,
0.03464476019144058,
0.013400006107985973,
0.010073763318359852,
0.012129985727369785,
0.033020518720149994,
0.022462936118245125,
0.007434368133544922,
-0.02318866178393364,
0.05228680372238159,
0.028216904029250145,
-0.027422061190009117,
0.05093902722001076,
0.024830184876918793,
0.012872991152107716,
-0.013149457983672619,
-0.026350753381848335,
-0.015430309809744358,
-0.0316036231815815,
-0.0031210521701723337,
-0.022341983392834663,
0.008639590814709663,
-0.023050429299473763,
-0.000469507765956223,
-0.0021566578652709723,
0.027007361873984337,
0.023534245789051056,
0.02832057885825634,
0.06593736261129379,
-0.024208134040236473,
-0.0001279064454138279,
0.009373956359922886,
0.018765192478895187,
0.0014773700386285782,
0.0034666359424591064,
-0.03946565091609955,
-0.0004970464506186545,
-0.028683442622423172,
-0.014825538732111454,
-0.003911574836820364,
-0.056779392063617706,
0.006626566406339407,
-0.014713224023580551,
0.03431645408272743,
-0.020769577473402023,
0.03163818269968033,
-0.017987629398703575,
0.06472781300544739,
-0.0008947376627475023,
0.0020573027431964874,
-0.02621251903474331,
-0.02280852012336254,
-0.010307032614946365,
-0.06655941158533096,
0.04451117292046547,
-0.0015821250854060054,
0.0009201164357364178,
-0.0411590114235878,
0.030204011127352715,
0.06604103744029999,
-0.02289491705596447,
-0.06410576403141022,
-0.024657392874360085,
-0.003803580068051815,
-0.017918512225151062,
0.010825407691299915,
-0.016207871958613396,
0.0376686155796051,
0.01397021859884262,
-0.02923637628555298,
0.005987236741930246,
0.014022056013345718,
0.018454166129231453,
0.0028618646319955587,
-0.004881368950009346,
0.002673953538760543,
0.006730241235345602,
0.009892331436276436,
-0.04468396678566933,
-0.019888339564204216,
0.029115421697497368,
0.07367843389511108,
0.022341983392834663,
-0.04250678792595863,
-0.0541529580950737,
0.008190331980586052,
0.02173721045255661,
-0.06766527891159058,
0.009823215194046497,
0.027128316462039948,
-0.014091173186898232,
0.02446732111275196,
-0.03072238527238369,
-0.048623617738485336,
-0.022134631872177124,
0.0424722284078598,
0.021806327626109123,
-0.0418156199157238,
0.01687312126159668,
0.04157371073961258,
0.016821283847093582,
-0.02111516147851944,
0.05664115771651268,
-0.01426396518945694,
-0.08432240784168243,
-0.0291499812155962,
-0.00839336309581995,
0.027059199288487434,
0.026938244700431824,
0.001166344853118062,
-0.03936197608709335,
0.017814837396144867,
-0.0030735344626009464,
0.00441051134839654,
0.029720192775130272,
0.0007775631966069341,
-0.005550937261432409,
-0.01589684747159481,
-0.030463198199868202,
0.07340196520090103,
-0.03511129692196846,
0.02049311064183712,
0.012579244561493397,
-0.05190666392445564,
-0.03312419354915619,
-0.013866543769836426,
-0.05021330341696739,
-0.07506076991558075,
0.05871466174721718,
-0.02140890620648861,
0.020337596535682678,
-0.014713224023580551,
-0.03638995811343193,
0.031862810254096985,
0.037703175097703934,
-0.009831855073571205,
0.02930549345910549,
0.012803873978555202,
0.0030346564017236233,
-0.016795365139842033,
-0.008173053152859211,
-0.042333997786045074,
-0.03652819246053696,
-0.07208874821662903,
0.05221768841147423,
-0.056744832545518875,
0.03360800817608833,
-0.025452235713601112,
-0.0035033542662858963,
-0.0007273455848917365,
0.051284611225128174,
0.03808331862092018,
-0.026938244700431824,
-0.0007781031890772283,
0.051111821085214615,
0.008725986815989017,
-0.018696075305342674,
-0.0684601217508316,
0.0068727945908904076,
-0.02989298477768898,
-0.005304709076881409,
0.03697745129466057,
0.016233792528510094,
0.018609678372740746,
-0.017218705266714096,
-0.005412703845649958,
0.026177961379289627,
-0.018851587548851967,
0.042126644402742386,
0.031776417046785355,
0.03151722997426987,
-0.02968563511967659,
-0.04205752909183502,
-0.020389435812830925,
-0.0020389435812830925,
0.006095231510698795,
-0.04458028823137283,
0.009892331436276436,
-0.041470035910606384,
0.02541767619550228,
-0.006639525759965181,
0.025020256638526917,
-0.020855972543358803,
-0.01264836173504591,
-0.07547546923160553,
0.009287560358643532,
0.007110383361577988,
0.03130987659096718,
0.015827730298042297,
-0.02182360738515854,
0.05294341593980789,
0.04368177428841591,
-0.015827730298042297,
-0.006505612283945084,
-0.03184553235769272,
0.04022593796253204,
0.016061000525951385,
0.024605555459856987,
-0.03925830125808716,
0.003799260128289461,
0.028890792280435562,
-0.0015227278927341104,
0.04333619028329849,
-0.013572797179222107,
-0.012086788192391396,
-0.026592660695314407,
0.03715024143457413,
-0.02375887520611286,
-0.07032626867294312,
0.018644237890839577,
-0.004596262238919735,
-0.03146539255976677,
-0.015119284391403198,
0.014047974720597267,
0.00024042361474130303,
-0.06016611307859421,
0.011266026645898819,
-0.024329088628292084,
-0.021996399387717247,
0.042990606278181076,
-0.010540300980210304,
-0.002313250442966819,
-0.007486205548048019,
0.005805805325508118,
-0.03656274825334549,
0.029080864042043686,
0.028165066614747047,
0.014350361190736294,
-0.06348371505737305,
0.03576790541410446,
0.038774486631155014,
-0.017711162567138672,
-0.04551336541771889,
-0.019888339564204216,
0.013227214105427265,
0.03977667912840843,
-0.04744863510131836,
-0.048001568764448166,
0.04603173956274986,
0.019819222390651703,
0.03381535783410072,
0.03659730777144432,
-0.07830925285816193,
-0.003222567494958639,
-0.014350361190736294,
0.055086031556129456,
-0.015940045937895775,
-0.035871583968400955,
-0.02876983769237995,
0.026851849630475044,
-0.003369440557435155,
0.06099551171064377,
-0.02749117836356163,
-0.02654082328081131,
-0.004216120578348637,
0.027266548946499825,
-0.03203560411930084,
0.006030434742569923,
0.0316036231815815,
0.022203749045729637,
-0.0017354778246954083,
0.020303038880228996,
-0.02182360738515854,
0.04762142524123192,
0.045478805899620056,
0.019732825458049774,
-0.0732637345790863,
-0.013615995645523071,
0.03694289177656174,
-0.036459073424339294,
0.05515515059232712,
0.026402590796351433,
-0.015603101812303066,
-0.019318126142024994,
-0.030826060101389885,
0.030324963852763176,
0.00965042319148779,
-0.04554792493581772,
-0.021996399387717247,
-0.017339659854769707,
0.009071570821106434,
-0.004423470702022314,
-0.0010707692708820105,
0.046100858598947525,
0.04468396678566933,
0.030670547857880592,
-0.015637660399079323,
0.04426926374435425,
0.004343554377555847,
-0.01746925339102745,
0.049211110919713974,
-0.016501618549227715,
-0.06541898101568222,
0.021512581035494804,
0.012285498902201653,
-0.06669764220714569,
0.022428378462791443,
-0.014359000138938427,
-0.07699603587388992,
-0.03901639208197594,
0.03580246493220329,
0.045651599764823914,
-0.03659730777144432,
-0.017132308334112167,
0.017711162567138672,
0.010531661100685596,
0.10609418153762817,
0.020890532061457634,
0.008570474572479725,
-0.012890269979834557,
0.008967895992100239,
0.0356987901031971,
-0.01933540403842926,
0.011602970771491528,
-0.04523690044879913,
-0.0424722284078598,
-0.017521090805530548,
0.007499164901673794,
-0.02114971913397312,
-0.039189185947179794,
-0.018367771059274673,
-0.004985044244676828,
-0.02719743363559246,
0.011818960309028625,
-0.0432325154542923,
0.013529599644243717,
0.011801681481301785,
-0.011024118401110172,
0.001532447524368763,
-0.0035940699744969606,
-0.05201033875346184,
0.044234707951545715,
0.03746126592159271,
0.028216904029250145,
-0.005188074428588152,
-0.007062865886837244,
-0.033763520419597626,
0.012017671018838882,
-0.055293381214141846,
0.017728440463542938,
0.010281112976372242,
0.02529672347009182,
-0.00828968733549118,
0.006898713298141956,
-0.003868376836180687,
-0.03946565091609955,
-0.014194848015904427,
0.020976927131414413,
0.008626631461083889,
0.026713615283370018,
-0.013140818104147911,
-0.04209208860993385,
-0.005093039013445377,
-0.03725391626358032,
-0.028873512521386147,
-0.05166475474834442,
0.013935660012066364,
-0.011888077482581139,
0.03694289177656174,
-0.021512581035494804,
-0.01649297960102558,
0.02028575912117958,
-0.030532315373420715,
0.029841147363185883,
-0.05501691624522209,
-0.003332722233608365,
0.054671332240104675,
0.015171121805906296,
0.020976927131414413,
-0.016795365139842033,
0.034921228885650635,
-0.002434204798191786,
0.02546951361000538,
-0.005062800366431475,
-0.00014187827764544636,
0.01527479663491249,
-0.002749549923464656,
0.02265300787985325,
-0.005378145258873701,
0.03295139968395233,
0.005162155721336603,
0.015490787103772163,
0.010687174275517464,
-0.013244492933154106,
-0.014056614600121975,
0.004570343531668186,
-0.004838170949369669,
0.000351793336449191,
-0.03901639208197594,
-0.006885753944516182,
0.009961448609828949,
-0.04382000491023064,
0.011577052064239979,
0.003537912620231509,
0.0403987281024456,
0.0015940045705065131,
-0.02840697579085827,
0.004023889545351267,
-0.033348821103572845,
-0.02368975803256035,
-0.01850600354373455,
0.026730895042419434,
0.06617926806211472,
0.02227286621928215,
-0.018523283302783966,
-0.018402328714728355,
-0.006013155449181795,
-0.0024277251213788986,
0.02488202229142189,
-0.008103935979306698,
0.027715807780623436,
-0.024985697120428085,
0.03096429444849491,
0.03594069927930832,
0.0082162506878376,
0.049867719411849976,
0.034558363258838654,
-0.003490394912660122,
0.04375088959932327,
-0.006687043700367212,
-0.026488985866308212,
0.01140426006168127,
0.032312069088220596,
-0.014963772147893906,
0.00536086643114686,
0.04074431210756302,
-0.005015282426029444,
0.017184145748615265,
0.027836762368679047,
-0.007633078843355179,
-0.002557318890467286,
0.05553529039025307,
0.03436829149723053,
0.0022614130284637213,
0.0472758412361145,
-0.010773570276796818,
-0.06369106471538544,
-0.011041397228837013,
-0.005853322800248861,
0.010825407691299915,
0.005615734029561281,
0.015145203098654747,
0.04554792493581772,
0.012743396684527397,
0.0011533853830769658,
0.002362928120419383,
-0.02612612396478653,
-0.03519769385457039,
-0.03213927894830704,
-0.008237849920988083,
-0.00022489935508929193,
0.0004803072661161423,
-0.003797100391238928,
-0.024743789806962013,
-0.0016382824396714568,
-0.07084465026855469,
-0.02272212505340576,
0.03576790541410446,
-0.0062205055728554726,
-0.011041397228837013,
0.030998852103948593,
-0.06825277209281921,
-0.029322771355509758,
0.007862027734518051,
-0.029098141938447952,
-0.048692736774683,
-0.025141209363937378,
0.021961839869618416,
0.023586083203554153,
0.0672505795955658,
-0.05059344694018364,
0.02111516147851944,
0.04558248072862625,
-0.012674280442297459,
0.015197040513157845,
-0.005594135262072086,
-0.005296069197356701,
0.01174120418727398,
0.02265300787985325,
0.030653269961476326,
0.0026955523062497377,
0.03350433334708214,
-0.00213181902654469,
0.005347907077521086,
-0.0027949076611548662,
-0.006237784866243601,
0.01012560073286295,
-0.003637267742305994,
-0.05525882542133331,
-0.009615864604711533,
0.025987889617681503,
0.046550117433071136,
-0.02686912752687931,
0.008756225928664207,
-0.018333211541175842,
0.014402198605239391,
-0.022877637296915054,
-0.0027322706300765276,
0.002952580340206623,
-0.012898909859359264,
0.0040865265764296055,
-0.0019795463886111975,
0.05211401358246803,
0.008337205275893211,
0.020147526636719704,
0.00244284444488585,
0.004790653474628925,
-0.0004322495369706303,
-0.003451516618952155,
-0.00900245364755392,
-0.0037474227137863636,
-0.01746925339102745,
-0.005080079659819603,
0.020026572048664093,
0.008531596511602402,
0.06611014902591705,
0.010402067564427853,
0.04416558891534805,
-0.03531864657998085,
-0.06013155356049538,
0.007836109027266502,
0.013633274473249912,
0.012225021608173847,
-0.002070262096822262,
0.04074431210756302,
0.021426185965538025,
0.051353730261325836,
-0.016588015481829643,
0.02882167510688305,
-0.00004775399065692909,
0.001916909241117537,
-0.016553455963730812,
-0.00013485862291418016,
0.04008770361542702,
-0.01513656321913004,
0.003086493816226721,
-0.007490525487810373,
0.012052229605615139,
-0.01281251385807991,
-0.006319860927760601,
-0.0016534017631784081,
-0.03469659760594368,
-0.014497233554720879,
-0.01202631089836359,
0.044200148433446884,
-0.01841960847377777,
0.0312234815210104,
-0.03863625228404999,
0.030670547857880592,
0.008864220231771469,
-0.009244362823665142,
-0.021097881719470024,
-0.022013677284121513,
0.0025141211226582527,
-0.024812905117869377,
-0.047932449728250504,
0.01604372076690197,
0.016484340652823448,
-0.013771507889032364,
0.046308208256959915,
-0.004993683658540249,
-0.03804875910282135,
0.01397021859884262,
0.016778085380792618,
-0.035128578543663025,
0.009278920479118824,
-0.0048900083638727665,
-0.04015681892633438,
0.03486939147114754,
0.0005013662739656866,
0.010324311442673206,
-0.018972542136907578,
0.0100996820256114,
-0.0096072256565094,
0.027387503534555435,
-0.003792780451476574,
-0.028838954865932465,
0.015525344759225845,
0.0150674469769001,
0.00879510398954153,
-0.02417357638478279,
-0.018644237890839577,
0.017728440463542938,
0.022929474711418152,
0.0026588342152535915,
-0.022704845294356346,
-0.013667833060026169,
0.008129855617880821,
-0.0012084627524018288,
-0.026592660695314407,
-0.005974277388304472,
-0.006514251697808504,
-0.007857708260416985,
-0.02114971913397312,
0.03735759109258652,
0.02790587954223156,
0.06514251977205276,
-0.030152173712849617,
-0.01759020797908306,
0.015940045937895775,
0.024778347462415695,
0.029858427122235298,
0.03452380746603012,
-0.02256661280989647,
0.055708084255456924,
-0.00006216455949470401,
-0.02045855112373829,
-0.02082141488790512,
-0.021927282214164734,
-0.032726772129535675,
-0.006103870924562216,
0.0006684883846901357,
-0.013857903890311718,
-0.038567133247852325,
-0.024605555459856987,
-0.006172987632453442,
-0.01562901958823204,
0.0672505795955658,
-0.01900709979236126,
-0.030169451609253883,
0.03207016363739967,
0.012112706899642944,
0.04561704024672508,
-0.022411098703742027,
-0.013244492933154106,
-0.045064106583595276,
0.006216185633093119,
-0.013849264942109585,
-0.04409647360444069,
0.04188473895192146,
-0.008622311986982822,
0.008423601277172565,
0.00619026692584157,
-0.014289883896708488,
-0.03232935070991516,
-0.005356546491384506,
0.07692691683769226,
-0.015905486419796944,
0.003596229711547494,
-0.0316036231815815,
0.012795234099030495,
-0.016233792528510094,
-0.03030768595635891,
0.0009546747896820307,
-0.006332820281386375,
-0.00650129234418273,
0.005728048738092184,
-0.008462479338049889,
-0.022946754470467567,
0.03469659760594368,
-0.004075726959854364,
-0.03998402878642082,
-0.026730895042419434,
0.0376686155796051,
-0.0027949076611548662,
-0.023257778957486153,
0.029098141938447952,
-0.03507674112915993,
-0.0030411360785365105,
0.01628562994301319,
-0.02298131212592125,
-0.052597831934690475,
0.0056330133229494095,
-0.01687312126159668,
-0.026851849630475044,
-0.010868605226278305,
-0.027923159301280975,
-0.032813165336847305,
-0.06068448722362518,
0.02654082328081131,
-0.004071407485753298,
0.03027312643826008,
-0.01479961909353733,
0.043163396418094635,
0.0050843991339206696,
0.01566357910633087,
-0.010488463565707207,
0.004423470702022314,
-0.00836312398314476,
0.002596197184175253,
0.011188270524144173,
-0.04226487874984741,
-0.05121549591422081,
0.044200148433446884,
0.004604902118444443,
0.029668355360627174,
-0.046308208256959915,
-0.046515557914972305,
0.01592276617884636,
-0.04492587223649025,
-0.023862550035119057,
-0.015326634980738163,
0.009425793774425983,
0.028130508959293365,
-0.032692212611436844,
0.021166998893022537,
0.028700722381472588,
0.06445135176181793,
-0.011559773236513138,
0.011646169237792492,
-0.028908072039484978,
0.010332951322197914,
-0.019732825458049774,
-0.0016642012633383274,
-0.02918453887104988,
-0.033348821103572845,
-0.03250214084982872,
-0.004317635670304298,
-0.012596523389220238,
0.043405305594205856,
-0.03486939147114754,
0.0418156199157238,
-0.020061129704117775,
0.008808063343167305,
0.010704453103244305,
-0.013745589181780815,
-0.0007980822119861841,
0.04036416858434677,
-0.027508458122611046,
-0.000015861749488976784,
-0.033435218036174774,
-0.028182346373796463,
-0.03419550135731697,
-0.05515515059232712,
0.04326707124710083,
-0.027352945879101753,
0.02182360738515854,
-0.06887482106685638,
-0.007715154904872179,
-0.05619189888238907,
0.010834047570824623,
-0.02140890620648861,
-0.002753869630396366,
0.007849068380892277,
-0.005382465198636055,
-0.018039466813206673,
-0.022134631872177124,
-0.022791240364313126,
0.006885753944516182,
-0.0029245016630738974,
-0.013149457983672619,
-0.02591877244412899,
0.009684981778264046,
-0.023568805307149887,
0.007507804781198502,
0.018937984481453896,
-0.05166475474834442,
0.021719932556152344,
-0.031188923865556717,
-0.0018650717101991177,
-0.0058274040929973125,
0.012034950777888298,
0.009529468603432178,
-0.000012309729754633736,
0.018557840958237648,
-0.011378341354429722,
-0.024899302050471306,
0.04368177428841591,
-0.00021747470600530505,
0.018315933644771576,
-0.021685373038053513,
0.028372416272759438,
-0.02686912752687931,
0.0034342375583946705,
-0.011473377235233784,
-0.01723598502576351,
0.009555387310683727,
0.0007613639463670552,
0.047932449728250504,
0.06652484834194183,
0.04907287657260895,
0.06123742088675499,
-0.008380403742194176,
-0.01221638172864914,
0.0349385067820549,
-0.032018326222896576,
0.014143010601401329,
0.03217383846640587,
-0.011913996189832687,
0.02579781971871853,
0.04959125444293022,
-0.007283175364136696,
-0.020717740058898926,
-0.01681264489889145,
-0.03566423058509827,
0.019801942631602287,
-0.044614847749471664,
0.043405305594205856,
-0.02844153344631195
] |
We propose a neural network-based model for nonlinear dynamics in continuous
time that can impose inductive biases on decay rates and/or frequencies.
Inductive biases are helpful for training neural networks especially when
training data are small. The proposed model is based on the Koopman operator
theory, where the decay rate and frequency information is used by restricting
the eigenvalues of the Koopman operator that describe linear evolution in a
Koopman space. We use neural networks to find an appropriate Koopman space,
which are trained by minimizing multi-step forecasting and backcasting errors
using irregularly sampled time-series data. Experiments on various time-series
datasets demonstrate that the proposed method achieves higher forecasting
performance given a single short training sequence than the existing methods. | [
0.010323950089514256,
-0.0278522577136755,
-0.02671472728252411,
-0.04064085707068443,
0.021526901051402092,
0.0398135632276535,
-0.03988250344991684,
0.032557498663663864,
-0.0472247451543808,
0.010616949759423733,
0.010229155421257019,
0.001495162956416607,
-0.034608498215675354,
-0.04994792491197586,
0.009625920094549656,
0.0009231662261299789,
0.0019325090106576681,
-0.011427009478211403,
0.05480828136205673,
-0.031023554503917694,
-0.01670963130891323,
0.01670101471245289,
-0.016994014382362366,
0.012193980626761913,
-0.03967567905783653,
0.04570803791284561,
-0.01644248515367508,
-0.010211920365691185,
-0.11071962118148804,
0.04243332892656326,
0.03174743801355362,
0.0008515319786965847,
-0.030851202085614204,
0.00304418639279902,
-0.06842417269945145,
-0.03615967556834221,
0.03529791161417961,
0.03493596985936165,
-0.03860709071159363,
0.023646842688322067,
0.025559961795806885,
0.018596896901726723,
-0.014348394237458706,
-0.01719222031533718,
0.0052222986705601215,
0.0349876768887043,
0.005687651690095663,
0.003487995592877269,
-0.0012258612550795078,
-0.016606219112873077,
0.0060108136385679245,
-0.06680405884981155,
0.021682018414139748,
0.03223002701997757,
-0.017037102952599525,
0.05225745588541031,
0.045466743409633636,
0.02269890159368515,
0.06311570107936859,
0.022629959508776665,
0.04084768146276474,
0.034005261957645416,
-0.07976500689983368,
-0.011487333104014397,
0.0019325090106576681,
-0.03667673468589783,
0.016761338338255882,
-0.024456903338432312,
-0.011254656128585339,
-0.004812960047274828,
-0.08121277391910553,
-0.025025667622685432,
-0.0020466928835958242,
0.02549102157354355,
0.059634167701005936,
0.006601123139262199,
-0.007665403187274933,
0.07204359024763107,
0.013133305124938488,
0.0425022691488266,
-0.004868974443525076,
0.046604275703430176,
-0.008406521752476692,
0.01701986789703369,
0.010935802944004536,
-0.011780333705246449,
0.027231786400079727,
-0.05032709985971451,
0.028696788474917412,
-0.031850848346948624,
-0.01718360185623169,
0.030334142968058586,
-0.0302652008831501,
0.009849978610873222,
-0.043053802102804184,
0.022492077201604843,
-0.015822013840079308,
0.011047832667827606,
-0.04715580493211746,
0.028369316831231117,
0.02349172532558441,
0.00683379964902997,
0.03709038347005844,
-0.009798272512853146,
0.00894512515515089,
-0.03140273317694664,
-0.050844158977270126,
0.04329509288072586,
0.018993310630321503,
0.12347374856472015,
0.009815508499741554,
-0.005429122131317854,
0.011082303710281849,
0.04232991859316826,
-0.04936192184686661,
0.0010955192847177386,
-0.05746251717209816,
-0.06297782063484192,
0.04363980144262314,
-0.06283993273973465,
0.022112900391221046,
0.0716988816857338,
0.005011165980249643,
0.031592320650815964,
0.00426358450204134,
0.04315721243619919,
0.01951036974787712,
-0.014753423631191254,
0.016821660101413727,
0.0014983946457505226,
-0.010142979212105274,
0.02628384530544281,
0.028231434524059296,
-0.04201968014240265,
0.018183249980211258,
-0.019079485908150673,
0.052981339395046234,
0.024594785645604134,
0.0018086301861330867,
-0.09203654527664185,
0.03398802876472473,
-0.01447765901684761,
0.014400100335478783,
-0.031023554503917694,
0.08410830795764923,
0.04243332892656326,
-0.024077726528048515,
0.03152338042855263,
-0.01736457273364067,
-0.0037249810993671417,
-0.09010618925094604,
0.0434674471616745,
-0.02121666446328163,
0.030334142968058586,
0.016209807246923447,
-0.006894123274832964,
-0.04315721243619919,
0.005778137128800154,
-0.03578050062060356,
-0.0755595937371254,
0.02235419489443302,
-0.005635946057736874,
-0.005265386775135994,
0.04670768603682518,
-0.006950138136744499,
0.009436331689357758,
-0.02824866957962513,
-0.04429474100470543,
-0.054911691695451736,
0.034556794911623,
-0.027438610792160034,
-0.004345451947301626,
-0.008303109556436539,
0.03145443648099899,
-0.04022720828652382,
0.06763134896755219,
0.021750958636403084,
-0.02514631487429142,
0.013883041217923164,
0.056083694100379944,
0.010177449323236942,
0.028972553089261055,
0.005196445621550083,
0.030765024945139885,
0.020871957764029503,
0.05456698685884476,
0.0031562158837914467,
0.06170240417122841,
-0.004276510793715715,
-0.06449452042579651,
0.050878629088401794,
0.013004040345549583,
0.04374321177601814,
-0.027042198926210403,
-0.012211215682327747,
-0.02790396474301815,
-0.031471673399209976,
-0.0006032357923686504,
-0.007682638708502054,
0.04377768188714981,
-0.029661966487765312,
-0.07424970716238022,
0.009212272241711617,
-0.0326264388859272,
-0.023474490270018578,
0.015753071755170822,
0.03310902789235115,
-0.0028675245121121407,
0.013064363971352577,
-0.04705239087343216,
0.01828666217625141,
-0.04943086579442024,
-0.025163549929857254,
-0.029575789347290993,
-0.008630580268800259,
-0.002828744938597083,
-0.030765024945139885,
0.008669360540807247,
0.01911395788192749,
-0.05170592665672302,
0.019958486780524254,
-0.002290141535922885,
0.029248317703604698,
-0.004972386639565229,
-0.006372755393385887,
0.03328138217329979,
-0.006924285087734461,
-0.0509820431470871,
0.005424813367426395,
-0.0016330454964190722,
0.01923460327088833,
0.03629755973815918,
0.02676643431186676,
-0.006739005446434021,
-0.00016494728333782405,
0.055738989263772964,
0.02007913403213024,
-0.04605274274945259,
0.018010897561907768,
-0.042226504534482956,
0.007092329207807779,
-0.02256101928651333,
-0.03678014874458313,
-0.029196612536907196,
-0.01436562929302454,
-0.030316907912492752,
0.012659333646297455,
0.07335346937179565,
-0.011599362827837467,
0.06070275604724884,
-0.015477307140827179,
-0.0539809875190258,
-0.010841009207069874,
0.020182546228170395,
-0.07721418142318726,
0.0015016262186691165,
-0.012823069468140602,
0.03660779446363449,
-0.0006851035286672413,
-0.009522507898509502,
-0.0065709613263607025,
-0.0003635572793427855,
0.004830195102840662,
0.057014402002096176,
-0.032781556248664856,
0.006622667424380779,
0.06252969801425934,
-0.0007389638340100646,
0.022199077531695366,
0.018183249980211258,
-0.019562074914574623,
0.00808766856789589,
-0.022888489067554474,
-0.02580125629901886,
0.069113589823246,
-0.032298967242240906,
0.02073407545685768,
-0.008053197525441647,
0.03183361515402794,
0.03809003159403801,
0.010720361955463886,
0.03943438455462456,
0.03350543975830078,
0.011909598484635353,
-0.0398135632276535,
-0.01897607371211052,
0.0032251570373773575,
0.0007325006299652159,
-0.041571564972400665,
0.00235692854039371,
0.016451101750135422,
-0.018028132617473602,
-0.05625604838132858,
0.006105607841163874,
0.03381567448377609,
0.03310902789235115,
-0.08093700557947159,
-0.0302134957164526,
0.03564261645078659,
-0.025784021243453026,
-0.02642172761261463,
0.013262569904327393,
0.037848737090826035,
0.008324653841555119,
-0.03895179554820061,
-0.01443457044661045,
0.06459793448448181,
0.021975018084049225,
0.005579931195825338,
0.03495320677757263,
0.007260373793542385,
0.029506847262382507,
0.01771789789199829,
-0.02671472728252411,
0.023508960381150246,
0.020871957764029503,
0.024646490812301636,
-0.020820252597332,
-0.018097074702382088,
0.005592857487499714,
0.01763172075152397,
0.042398858815431595,
-0.07838618010282516,
0.01662345416843891,
-0.016364924609661102,
0.017855780199170113,
0.022664431482553482,
0.044846273958683014,
-0.028834670782089233,
0.0453978031873703,
-0.010272243991494179,
-0.003414745442569256,
-0.029317259788513184,
0.018734781071543694,
0.03341926261782646,
-0.012874775566160679,
-0.024508608505129814,
0.036849088966846466,
-0.013047128915786743,
-0.07128523290157318,
0.03486702963709831,
-0.05218851566314697,
-0.045466743409633636,
-0.015641042962670326,
0.024112196639180183,
-0.036366499960422516,
-0.06232287362217903,
0.009393243119120598,
-0.020699605345726013,
-0.012935099191963673,
0.0008364510722458363,
-0.017683425918221474,
0.009781037457287312,
0.008389286696910858,
0.06807947158813477,
-0.06625252217054367,
-0.0092036547139287,
0.04198521003127098,
-0.043674271553754807,
0.05336051434278488,
-0.0165803674608469,
-0.014132953248918056,
-0.05156804248690605,
-0.010246390476822853,
-0.021130487322807312,
0.009332919493317604,
-0.04146815091371536,
-0.03888285532593727,
0.04984451085329056,
0.0068984320387244225,
0.0015468689380213618,
0.03322967514395714,
0.02973090671002865,
-0.0015027034096419811,
0.027369670569896698,
-0.00809197686612606,
-0.03957226872444153,
0.012650716118514538,
0.0011429163860157132,
0.03891732543706894,
-0.061426639556884766,
-0.022974666208028793,
0.034746382385492325,
0.016149483621120453,
0.02938620001077652,
0.031126966699957848,
-0.03695250302553177,
0.010194685310125351,
0.02711114101111889,
-0.0006118534365668893,
-0.014546600170433521,
-0.06280546635389328,
-0.004631989169865847,
-0.002714561065658927,
0.039985913783311844,
0.025353139266371727,
0.017433514818549156,
-0.011866509914398193,
0.02235419489443302,
0.001001802273094654,
-0.06035805121064186,
-0.04505309462547302,
-0.006101299077272415,
-0.03715932369232178,
-0.04981004074215889,
0.05091309919953346,
-0.10306714475154877,
-0.02702496387064457,
0.05587686970829964,
0.0042657386511564255,
0.03657332435250282,
0.019389722496271133,
0.022423136979341507,
-0.009806890040636063,
0.03729720786213875,
0.01854519173502922,
-0.0453978031873703,
0.0018183250213041902,
0.04267462342977524,
-0.014046776108443737,
0.020475545898079872,
0.00048743607476353645,
0.0538775734603405,
0.009901684708893299,
-0.01257315743714571,
0.014882688410580158,
0.029661966487765312,
-0.023733019828796387,
-0.002583141904324293,
0.009169183671474457,
0.027662670239806175,
0.05080968886613846,
0.02483608014881611,
-0.014072629623115063,
-0.051016513258218765,
0.01627013087272644,
-0.010427361354231834,
0.032781556248664856,
-0.05353286862373352,
-0.02523249201476574,
-0.023801960051059723,
-0.03581497073173523,
-0.017037102952599525,
0.013900276273488998,
-0.00047827980597503483,
-0.006502020172774792,
-0.015606571920216084,
0.0071311090141534805,
0.014598306268453598,
-0.03957226872444153,
-0.05529087036848068,
-0.0010346571216359735,
0.021061547100543976,
-0.049568746238946915,
0.058668989688158035,
0.015494542196393013,
0.007088020443916321,
-0.008229860104620457,
0.04081321135163307,
-0.028765730559825897,
0.04363980144262314,
0.03279879316687584,
0.002559443237259984,
-0.03136826306581497,
0.0035052308812737465,
-0.006894123274832964,
0.005118886474519968,
-0.03414314612746239,
-0.014744806103408337,
0.04022720828652382,
0.09500101953744888,
-0.031230378895998,
0.02235419489443302,
0.07107841223478317,
0.03043755516409874,
0.05553216487169266,
-0.035711560398340225,
-0.056876517832279205,
0.013658981770277023,
-0.011995774693787098,
0.050189219415187836,
-0.06483922898769379,
0.05029262974858284,
0.017554162070155144,
-0.010332567617297173,
0.007174197118729353,
0.03888285532593727,
0.02344002015888691,
0.008031654171645641,
0.02580125629901886,
-0.01914842799305916,
-0.007656785659492016,
-0.024387961253523827,
-0.005213680677115917,
0.02326766587793827,
-0.02033766359090805,
-0.003533238312229514,
0.009376008063554764,
0.10451491177082062,
0.022319724783301353,
0.02292296104133129,
-0.011780333705246449,
0.01099612656980753,
-0.01066865585744381,
0.019320780411362648,
0.031902555376291275,
0.027145611122250557,
-0.03309179097414017,
-0.00887618400156498,
-0.011728627607226372,
0.025266962125897408,
-0.03410867601633072,
0.018527956679463387,
0.0010292710503563285,
0.038986269384622574,
0.023457255214452744,
0.0007335778209380805,
-0.008501315489411354,
0.05422228202223778,
0.0302652008831501,
0.032333437353372574,
0.033695027232170105,
0.003666811855509877,
0.009953390806913376,
-0.08528030663728714,
0.06583888083696365,
0.0378832072019577,
0.014382865279912949,
0.021027076989412308,
0.015201541595160961,
-0.017002630978822708,
0.024853315204381943,
-0.032557498663663864,
-0.054463572800159454,
-0.010927185416221619,
-0.019648252055048943,
0.006622667424380779,
0.04881039261817932,
-0.017261160537600517,
-0.014555217698216438,
-0.010461832396686077,
0.03664226457476616,
0.023939844220876694,
0.03283326327800751,
-0.03526344150304794,
-0.04522544890642166,
0.033298615366220474,
-0.022578254342079163,
0.014227746985852718,
-0.00015484847244806588,
-0.01748521998524666,
0.011237421073019505,
0.030989084392786026,
0.034556794911623,
-0.021130487322807312,
-0.01452074758708477,
0.005778137128800154,
-0.02873125858604908,
-0.003735753009095788,
-0.0008052120683714747,
0.007385329809039831,
0.01923460327088833,
-0.0245775505900383,
-0.04460497945547104,
-0.0021436414681375027,
-0.0021845754235982895,
0.03578050062060356,
0.007549065165221691,
-0.004140782635658979,
0.014581071212887764,
-0.0022341269068419933,
0.013417687267065048,
-0.05642839893698692,
0.029972201213240623,
0.021268371492624283,
-0.019527604803442955,
0.058186400681734085,
0.0012323245173320174,
-0.02107878215610981,
-0.0074499621987342834,
-0.00898821372538805,
-0.013771011494100094,
0.02642172761261463,
0.014796512201428413,
-0.006161622703075409,
-0.01484821829944849,
0.001295879716053605,
-0.05939287319779396,
0.0030312598682940006,
-0.019096720963716507,
-0.011599362827837467,
0.050878629088401794,
0.0019755971152335405,
0.009944773279130459,
-0.050706278532743454,
-0.02261272445321083,
-0.04301932826638222,
0.0018711081938818097,
0.03895179554820061,
-0.07886876910924911,
-0.04894827678799629,
0.04201968014240265,
-0.011892362497746944,
0.034746382385492325,
-0.00623056385666132,
-0.007156961597502232,
0.023853667080402374,
-0.004657842218875885,
0.004886209964752197,
0.033522676676511765,
0.021716488525271416,
0.00060969905462116,
0.05277451500296593,
-0.039606738835573196,
0.03421208634972572,
0.021837135776877403,
0.0250601377338171,
0.045983802527189255,
-0.02443966642022133,
0.0013702070573344827,
0.008035962469875813,
-0.0006269343430176377,
0.03650438413023949,
-0.00975518487393856,
0.012426657602190971,
0.011134008876979351,
0.022509312257170677,
-0.031023554503917694,
0.008436683565378189,
-0.02195778302848339,
-0.010418743826448917,
0.03372949734330177,
-0.01565827801823616,
-0.009289830923080444,
0.013590040616691113,
0.018338367342948914,
-0.01399507001042366,
0.014184658415615559,
-0.0018290970474481583,
0.009091624990105629,
0.019527604803442955,
0.03171296790242195,
-0.00553253386169672,
0.018097074702382088,
0.014986100606620312,
0.020406605675816536,
-0.026697492226958275,
-0.000720112700946629,
0.0245775505900383,
0.02693878673017025,
-0.011711391620337963,
0.030971849337220192,
0.00948803685605526,
0.0358494408428669,
-0.021940547972917557,
-0.029093200340867043,
0.06918253004550934,
-0.018045367673039436,
0.0029386200476437807,
-0.014253600500524044,
-0.00924674328416586,
0.01066865585744381,
-0.001486545312218368,
0.012211215682327747,
0.021750958636403084,
-0.06383958458900452,
0.029093200340867043,
0.029541319236159325,
-0.014839600771665573,
0.032040439546108246,
-0.015227395109832287,
-0.0397101491689682,
-0.017700660973787308,
0.011461480520665646,
0.03860709071159363,
-0.019975721836090088,
0.00539034279063344,
0.043708741664886475,
0.05487722158432007,
-0.04570803791284561,
-0.005045636557042599,
0.00844099186360836,
-0.028007376939058304,
-0.005325710400938988,
0.0013357363641262054,
-0.019820604473352432,
0.030075613409280777,
-0.0344533808529377,
-0.03715932369232178,
0.05794510617852211,
-0.029024260118603706,
-0.030954614281654358,
0.03743508830666542,
-0.010496302507817745,
0.039296504110097885,
-0.0052610780112445354,
0.011900980025529861,
0.03740061819553375,
0.02244037203490734,
0.033522676676511765,
-0.010203302837908268,
-0.008884801529347897,
0.008445301093161106,
-0.007587844505906105,
0.028145259246230125,
-0.035004910081624985,
0.01452074758708477,
-0.03888285532593727,
-0.05601475387811661,
-0.021009840071201324,
0.03650438413023949,
0.03722826763987541,
-0.015899572521448135,
0.012538687326014042,
0.038503680378198624,
0.026352787390351295,
0.02514631487429142,
-0.011340833269059658,
-0.03447061777114868,
0.034349970519542694,
0.02300913631916046,
0.0024000166449695826,
-0.01103921514004469,
-0.02531866729259491,
0.024474138393998146,
0.031592320650815964,
0.0037508339155465364,
0.007281917612999678,
-0.04756944999098778,
0.007773124147206545,
0.013874423690140247,
-0.021923312917351723,
-0.022250782698392868,
0.0130126578733325,
0.026525139808654785,
0.014176040887832642,
0.00424204021692276,
0.03507385402917862,
-0.02409496158361435,
-0.016502806916832924,
0.03905520960688591,
-0.008970977738499641,
0.010772068053483963,
0.008173844777047634,
0.011211568489670753,
0.025249727070331573,
0.0026305390056222677,
0.01806260272860527,
-0.009195037186145782,
-0.014046776108443737,
-0.002382781356573105,
-0.03812450170516968,
0.021406253799796104,
-0.02019978128373623,
-0.058186400681734085,
0.012874775566160679,
-0.026887081563472748,
-0.04150262102484703,
0.020441075786948204,
0.0040653785690665245,
0.004211878404021263,
0.02773161046206951,
0.007949786260724068,
-0.034746382385492325,
0.07535276561975479,
-0.03436720371246338,
-0.04801756888628006,
-0.010142979212105274,
0.01224568672478199,
-0.006950138136744499,
0.055601105093955994,
-0.00030646531376987696,
0.0016190417809411883,
-0.009436331689357758,
-0.02773161046206951,
0.04701792076230049,
-0.026663022115826607,
-0.014813747256994247,
0.03805556148290634,
0.003397510154172778,
0.0016351998783648014,
-0.011168479919433594,
-0.004584591835737228,
0.012719657272100449,
-0.019251840189099312,
-0.032523028552532196,
-0.05856557935476303,
-0.02986878901720047,
0.016649307683110237,
0.003065730445086956,
-0.007036314811557531,
-0.046328507363796234,
0.0034190542064607143,
-0.022905724123120308,
0.010841009207069874,
0.05470486730337143,
-0.04008932784199715,
0.008824477903544903,
0.003490149974822998,
-0.034798089414834976,
-0.03891732543706894,
0.009014066308736801,
-0.02156137116253376,
-0.015020571649074554,
-0.010884096845984459,
-0.022854018956422806,
-0.05146463215351105,
-0.024474138393998146,
0.03643544018268585,
-0.024818843230605125,
-0.015804776921868324,
0.0029300025198608637,
0.03428103029727936,
-0.02207843028008938,
0.0022427444346249104,
0.005252460017800331,
-0.032729849219322205,
0.0576348714530468,
-0.01971719227731228,
-0.009591449052095413,
-0.024474138393998146,
-0.0719057098031044,
-0.00034874569973908365,
-0.02016531117260456,
-0.02292296104133129,
-0.016235660761594772,
-0.0018474096432328224,
0.018303897231817245,
0.031126966699957848,
0.006161622703075409,
0.0013518944615498185,
0.05236086621880531,
-0.03657332435250282,
-0.024026019498705864,
-0.055704515427351,
-0.02952408418059349,
-0.002798583125695586,
0.030403083190321922,
-0.015770306810736656,
-0.008139374665915966,
0.011030597612261772,
-0.03888285532593727,
-0.015735836699604988,
-0.015322188846766949,
0.003675429616123438,
0.03135102614760399,
-0.008565948344767094,
0.03421208634972572,
-0.022061195224523544,
-0.021940547972917557,
0.0031432893592864275,
0.024198373779654503,
0.05322263389825821,
0.01578754186630249,
0.0037874591071158648,
-0.010901332832872868,
0.05715228244662285,
0.01257315743714571,
0.013934747315943241,
-0.020820252597332,
0.04708686098456383,
0.007751579862087965,
0.028196964412927628,
-0.017683425918221474,
0.058186400681734085,
-0.025129079818725586,
0.013047128915786743,
-0.050223689526319504,
-0.06325358152389526,
-0.041743915528059006,
0.021285606548190117,
0.003961966373026371,
-0.00509303342550993,
0.06583888083696365,
0.010177449323236942,
-0.01003956701606512,
0.03543579578399658,
-0.01613224856555462,
-0.0031217453069984913,
-0.04084768146276474,
0.03138549625873566,
0.024956727400422096,
0.06022016704082489,
-0.03200596943497658,
0.06311570107936859,
0.035573676228523254,
-0.004386385902762413,
-0.017700660973787308,
-0.0069673736579716206,
-0.02554272674024105,
0.009031301364302635,
0.052981339395046234,
-0.03753850236535072,
-0.010358420200645924,
0.032247260212898254,
-0.009979243390262127,
0.03178190812468529,
-0.00764385936781764,
0.03174743801355362,
-0.005110268946737051,
-0.01902778074145317,
-0.04801756888628006,
-0.019889546558260918,
-0.04102003574371338,
0.02588743343949318,
-0.026249375194311142,
0.06018569692969322,
-0.013434923253953457,
-0.0035440102219581604,
0.018355604261159897,
-0.020716840401291847,
0.01447765901684761,
0.05625604838132858,
-0.03092014417052269,
0.028369316831231117,
0.017769603058695793,
-0.03567708656191826,
-0.00005813550160382874,
0.03403973579406738,
-0.01657174900174141,
0.008466845378279686,
-0.042226504534482956,
0.016761338338255882,
0.033832911401987076,
-0.011306362226605415,
0.03657332435250282,
0.038158971816301346,
0.007962712086737156,
0.0026671639643609524,
-0.002744722878560424,
-0.02213013544678688,
0.00012340750254224986,
-0.018476251512765884,
0.034608498215675354,
0.012823069468140602,
0.0614955797791481,
0.009444949217140675,
0.00857456587255001,
0.051188867539167404,
0.00253143603913486,
-0.02269890159368515,
-0.00883309543132782,
-0.03017902560532093,
0.025387609377503395,
0.04412239044904709,
-0.031195908784866333,
0.05553216487169266,
-0.02488778531551361,
-0.021578606218099594,
-0.028576141223311424,
-0.013572805561125278,
0.03922756016254425,
0.004774180240929127,
0.008716757409274578,
-0.0021436414681375027,
0.013607275672256947,
-0.034556794911623,
-0.03919309005141258,
-0.008191080763936043,
0.018166014924645424,
0.03355714678764343,
0.0010222692508250475,
-0.029593024402856827,
-0.005808298941701651,
-0.022681666538119316,
-0.0179764274507761,
-0.007100947201251984,
-0.012400804087519646,
-0.040916621685028076,
-0.046638745814561844,
0.0015565637731924653,
-0.0320921428501606,
-0.03760744258761406,
-0.032781556248664856,
0.029834318906068802,
0.008531477302312851,
0.0010578170185908675,
-0.01550315972417593,
-0.026249375194311142,
-0.0043734596110880375,
0.037331677973270416,
0.00039452698547393084,
0.04736262932419777,
-0.0160460714250803,
-0.01143562700599432,
-0.02969643659889698,
-0.030420320108532906,
-0.02321596071124077,
-0.04339850693941116,
0.008884801529347897,
0.004640606697648764,
0.007777432911098003,
0.01366759929805994,
-0.019837839528918266,
-0.02781778760254383,
0.026473434641957283,
-0.03853815048933029,
-0.01911395788192749,
-0.004194643348455429,
0.023474490270018578,
-0.000916164368391037,
-0.023957079276442528,
-0.02719731628894806,
0.03657332435250282,
0.010323950089514256,
0.029903260990977287,
0.056738633662462234,
-0.006040975451469421,
-0.005209371913224459,
0.018665838986635208,
-0.0058858576230704784,
0.011616597883403301,
-0.03695250302553177,
-0.013348746113479137,
-0.0501202754676342,
0.02409496158361435,
0.03757297247648239,
0.008677978068590164,
0.00010671079508028924,
-0.015761690214276314,
0.029817083850502968,
-0.02588743343949318,
0.045501213520765305,
-0.018820956349372864
] |
Three main points: 1. Data Science (DS) will be increasingly important to
heliophysics; 2. Methods of heliophysics science discovery will continually
evolve, requiring the use of learning technologies [e.g., machine learning
(ML)] that are applied rigorously and that are capable of supporting discovery;
and 3. To grow with the pace of data, technology, and workforce changes,
heliophysics requires a new approach to the representation of knowledge. | [
0.003753431374207139,
-0.02436862885951996,
-0.022635294124484062,
0.0014200164005160332,
0.00023073938791640103,
-0.015472549013793468,
-0.011037255637347698,
0.005527124274522066,
-0.007311438210308552,
0.04591634124517441,
0.05318954214453697,
0.025014379993081093,
0.05655425041913986,
-0.005403921473771334,
-0.02477647177875042,
-0.004783660173416138,
-0.00949934683740139,
0.03697777912020683,
-0.004397058859467506,
-0.012711111456155777,
-0.015659477561712265,
-0.08863791078329086,
-0.04815948009490967,
0.07449934631586075,
0.0031246733851730824,
0.016789542511105537,
0.011479085311293602,
-0.013033987022936344,
-0.08265621215105057,
0.05403921753168106,
0.0505385622382164,
0.008046405389904976,
0.01384117640554905,
-0.04044444486498833,
-0.034972548484802246,
-0.03633202612400055,
0.030979085713624954,
-0.012447712942957878,
-0.0023281045723706484,
-0.0014933006605133414,
-0.0022197712678462267,
-0.03176078572869301,
0.0457124188542366,
0.00044714054092764854,
0.04323137179017067,
-0.03847320377826691,
-0.057369936257600784,
-0.008500980213284492,
0.009125490672886372,
-0.05978300794959068,
-0.03731764853000641,
-0.058491505682468414,
-0.011776470579206944,
-0.031964708119630814,
-0.050198692828416824,
-0.022465359419584274,
0.04176993668079376,
-0.002563888905569911,
0.01724836602807045,
0.002933496842160821,
0.012405228801071644,
-0.01599084958434105,
-0.014707843773066998,
-0.008743137121200562,
-0.012694117613136768,
-0.09536731988191605,
-0.011997385881841183,
0.0010498774936422706,
-0.01232026144862175,
-0.036128103733062744,
-0.00933790858834982,
0.0315568633377552,
0.004414052236825228,
0.002810294274240732,
0.010952288284897804,
0.008233333937823772,
0.0506405234336853,
0.029993465170264244,
-0.026101961731910706,
-0.026152942329645157,
0.029959477484226227,
-0.04516862705349922,
0.034836601465940475,
0.010697386227548122,
0.07524706423282623,
0.058627452701330185,
-0.026849674060940742,
-0.06994509696960449,
-0.0034602941013872623,
-0.01357777789235115,
-0.07184837013483047,
0.0356522873044014,
0.017622223123908043,
-0.003638725494965911,
-0.056792158633470535,
0.011436601169407368,
-0.017307844012975693,
-0.005497385747730732,
-0.035992156714200974,
-0.0629098042845726,
-0.021717647090554237,
0.022414378821849823,
0.008785621263086796,
-0.015379085205495358,
0.011156209744513035,
-0.08190850168466568,
-0.005102287512272596,
0.029602615162730217,
-0.01357777789235115,
0.12160523235797882,
0.028430067002773285,
0.004953594878315926,
0.008551960811018944,
-0.016458170488476753,
-0.03969673439860344,
-0.008777124807238579,
-0.030027450993657112,
-0.0246405228972435,
0.02746143937110901,
-0.018267974257469177,
0.04727581888437271,
0.00029260621522553265,
0.04853333532810211,
-0.012668627314269543,
-0.05237385630607605,
0.028192156925797462,
-0.04282353073358536,
-0.005055555608123541,
0.011283660307526588,
0.011776470579206944,
0.005267973989248276,
0.07082875818014145,
-0.01913464069366455,
-0.005335947964340448,
0.0070777777582407,
0.0036727124825119972,
0.04367320239543915,
0.015387581661343575,
0.03558431565761566,
-0.00012665441317949444,
-0.07409150153398514,
-0.007872221991419792,
-0.012286274693906307,
-0.016636602580547333,
0.02029019594192505,
0.01944052428007126,
0.0034539217595010996,
-0.0019946079701185226,
-0.03038431517779827,
0.009167973883450031,
0.018981698900461197,
0.06872157007455826,
-0.027172550559043884,
-0.0431973859667778,
0.04353725537657738,
0.023756863549351692,
-0.020901961252093315,
0.02052810601890087,
-0.04663006588816643,
0.013883660547435284,
0.05308758467435837,
0.02724052406847477,
0.005191503558307886,
0.04771764948964119,
-0.016424182802438736,
-0.01627124287188053,
-0.009193464182317257,
-0.05910326912999153,
-0.04418300837278366,
0.05220392346382141,
-0.030503269284963608,
-0.023467974737286568,
-0.07218823581933975,
0.021275818347930908,
0.017239870503544807,
-0.03589019551873207,
0.02343398705124855,
-0.023739870637655258,
-0.059749022126197815,
0.011513072066009045,
-0.046935949474573135,
-0.008071895688772202,
0.02606797404587269,
0.04085228964686394,
0.04900915175676346,
0.0024194444995373487,
0.05448104813694954,
0.020222222432494164,
0.047479741275310516,
-0.00226862751878798,
0.047377780079841614,
-0.04227973893284798,
0.0246405228972435,
-0.0203411765396595,
-0.0008385212859138846,
-0.037215687334537506,
-0.002081699436530471,
-0.016602614894509315,
0.00524248369038105,
0.0111137256026268,
-0.022873202338814735,
-0.07103268057107925,
-0.018386928364634514,
0.027206536382436752,
-0.014384967274963856,
-0.04387712478637695,
0.04955294355750084,
0.08258824050426483,
0.040750328451395035,
-0.001645179814659059,
0.018896732479333878,
-0.0005841503152623773,
-0.010179085657000542,
-0.004847385920584202,
-0.0023557189851999283,
-0.02504836581647396,
-0.011521568521857262,
0.03544836863875389,
-0.006559477187693119,
-0.05753986909985542,
0.042007844895124435,
-0.03901699557900429,
0.04754771292209625,
0.013866666704416275,
-0.006478758528828621,
-0.03235555812716484,
-0.03480261564254761,
0.035686276853084564,
-0.022652288898825645,
-0.05138823762536049,
-0.005654575303196907,
0.06042876094579697,
0.05998693034052849,
0.00561209162697196,
-0.0024598040618002415,
-0.061856210231781006,
0.027631374076008797,
0.018352942541241646,
-0.06661438196897507,
-0.03939085081219673,
0.006559477187693119,
-0.08048104494810104,
0.024164706468582153,
-0.02088496834039688,
0.025507189333438873,
-0.04683398827910423,
-0.021173857152462006,
0.04459084942936897,
0.061992157250642776,
0.033222224563360214,
0.032457515597343445,
-0.02003529481589794,
0.012617647647857666,
-0.0013010621769353747,
0.01927058957517147,
0.0070777777582407,
0.02195555530488491,
0.028888890519738197,
-0.02321307174861431,
-0.04649411886930466,
-0.00039881537668406963,
0.007383660413324833,
0.06063267961144447,
0.056792158633470535,
-0.010884313844144344,
-0.024929411709308624,
0.08918169885873795,
0.0640653595328331,
0.03167581930756569,
-0.015498039312660694,
-0.06063267961144447,
-0.016432680189609528,
0.0066826799884438515,
-0.012303268536925316,
-0.0012543300399556756,
-0.05550065636634827,
0.036535948514938354,
0.007540849968791008,
0.03436078503727913,
0.007086274679750204,
0.016967974603176117,
0.012515686452388763,
0.02817516401410103,
-0.02365490235388279,
-0.0444549024105072,
0.019423529505729675,
-0.01644967310130596,
-0.019508497789502144,
0.02486143819987774,
-0.05560261756181717,
-0.016696078702807426,
-0.06358954310417175,
-0.027784314006567,
0.006491503212600946,
0.014546405524015427,
-0.048635296523571014,
-0.015880392864346504,
0.023807844147086143,
-0.0019393791444599628,
-0.028922876343131065,
0.004178267903625965,
-0.03888104856014252,
-0.02661176584661007,
0.0270535945892334,
-0.034428760409355164,
0.015472549013793468,
-0.016636602580547333,
0.01944052428007126,
-0.009626797400414944,
0.004991830326616764,
-0.0042589870281517506,
0.03684183210134506,
-0.0057862745597958565,
-0.04163398966193199,
0.006810131017118692,
0.08014117926359177,
-0.0002615400298964232,
0.013875164091587067,
-0.009618300944566727,
-0.04350326955318451,
-0.042993463575839996,
-0.024538563564419746,
-0.10386405140161514,
-0.001856536022387445,
0.0369098037481308,
0.04999477416276932,
0.0009739379165694118,
0.012141830287873745,
-0.045814380049705505,
-0.023196078836917877,
-0.04431895539164543,
-0.017307844012975693,
-0.0419398695230484,
0.023586928844451904,
0.02258431352674961,
-0.05220392346382141,
-0.03391895443201065,
-0.0016260620905086398,
-0.04363921657204628,
-0.01442745141685009,
0.03096209280192852,
0.02039215713739395,
-0.06787189841270447,
-0.039084967225790024,
-0.01044248417019844,
-0.0077447714284062386,
-0.02679869346320629,
0.012090849690139294,
0.022159477695822716,
0.011683006770908833,
0.0008188725914806128,
0.02907581813633442,
-0.0018671569414436817,
-0.04897516593337059,
0.021292811259627342,
-0.011241177096962929,
0.048057518899440765,
-0.05400523170828819,
-0.012133333832025528,
-0.003260621102526784,
0.052033986896276474,
-0.07375163584947586,
-0.011818954721093178,
-0.051150329411029816,
-0.023264052346348763,
0.015200654044747353,
0.014529411680996418,
0.0018958334112539887,
0.022414378821849823,
0.00518725486472249,
0.006856862921267748,
0.029330719262361526,
0.024215687066316605,
-0.028922876343131065,
-0.0012851307401433587,
-0.030588235706090927,
-0.041022222489118576,
0.02042614482343197,
-0.04503268003463745,
0.040614381432533264,
0.0215986929833889,
0.014597386121749878,
0.00876013096421957,
0.0626039206981659,
0.03356209397315979,
0.00960980448871851,
0.02302614413201809,
-0.010773856192827225,
-0.01831895485520363,
0.039084967225790024,
-0.016959477216005325,
-0.037215687334537506,
-0.021122876554727554,
-0.022703267633914948,
0.031030066311359406,
-0.0074091507121920586,
0.008067646995186806,
-0.038337256759405136,
0.0022049020044505596,
0.03813333436846733,
-0.03230457752943039,
0.027665359899401665,
-0.06025882437825203,
-0.010918300598859787,
0.014198039658367634,
-0.014639869332313538,
-0.036943793296813965,
-0.04832941293716431,
-0.0028039216995239258,
0.0283111110329628,
-0.01921960897743702,
0.024487582966685295,
0.0518980398774147,
-0.024793464690446854,
0.042551636695861816,
0.004885620903223753,
-0.009057516232132912,
0.06933333724737167,
-0.029245752841234207,
-0.006304575130343437,
0.033001307398080826,
0.007825490087270737,
0.015803921967744827,
0.027121569961309433,
-0.00043174021993763745,
0.06746405363082886,
-0.006712418515235186,
-0.037113726139068604,
0.004392810631543398,
-0.05213594809174538,
0.009320915676653385,
0.046969935297966,
0.023332025855779648,
-0.005250980611890554,
-0.05301960930228233,
-0.011861437931656837,
-0.0407843142747879,
-0.003938235342502594,
-0.001586764701642096,
-0.019321568310260773,
-0.025422222912311554,
-0.03337516263127327,
-0.01464836671948433,
-0.0072604576125741005,
-0.03894902020692825,
0.008607190102338791,
-0.010323530063033104,
0.008309803903102875,
-0.022601308301091194,
-0.07096470892429352,
-0.04503268003463745,
0.005284967366605997,
-0.04350326955318451,
-0.016007844358682632,
0.024623529985547066,
-0.009575816802680492,
0.01712091639637947,
-0.021887581795454025,
-0.011266667395830154,
0.016245752573013306,
0.03809934854507446,
0.0405803918838501,
0.06630849838256836,
0.004813398700207472,
-0.014401961117982864,
0.04462483897805214,
-0.03318823501467705,
-0.010765359736979008,
0.0026658496353775263,
0.05502483621239662,
0.021581700071692467,
-0.03684183210134506,
0.027206536382436752,
0.018743790686130524,
-0.0301973856985569,
0.0002482638810761273,
0.01585490256547928,
-0.014818301424384117,
0.009133987128734589,
-0.04027451202273369,
0.021530719473958015,
0.06590065360069275,
0.0227542482316494,
0.04306143894791603,
0.0061133988201618195,
0.0002545036841183901,
0.01752026192843914,
0.03148888796567917,
-0.012736601755023003,
-0.045542486011981964,
-0.005714052356779575,
-0.005514379125088453,
0.029823530465364456,
-0.029143791645765305,
0.009083006531000137,
0.011054248549044132,
-0.05346143990755081,
0.023501960560679436,
0.03741960972547531,
-0.011564052663743496,
-0.0265267975628376,
0.015141176991164684,
-0.033137254416942596,
-0.007052287925034761,
-0.0688915029168129,
0.06872157007455826,
0.01113071944564581,
-0.050742484629154205,
0.032066669315099716,
0.010875817388296127,
0.0030779412481933832,
0.006784640718251467,
-0.0002995098184328526,
0.031743790954351425,
0.013475817628204823,
0.02204052358865738,
0.0019064543303102255,
0.03633202612400055,
0.018115032464265823,
0.0012383987195789814,
0.00039430148899555206,
0.03507450968027115,
0.021887581795454025,
0.005284967366605997,
-0.009915686212480068,
0.017239870503544807,
0.009354902431368828,
-0.01516666729003191,
0.010714379139244556,
-0.029398692771792412,
-0.02365490235388279,
0.023009151220321655,
-0.06209411844611168,
-0.0420418307185173,
0.025881046429276466,
-0.009694771841168404,
0.016696078702807426,
0.029993465170264244,
0.06063267961144447,
-0.017188889905810356,
-0.07001307606697083,
0.07511111348867416,
0.017282353714108467,
0.0015368463937193155,
0.031743790954351425,
-0.03619607910513878,
0.0554666668176651,
0.009516339749097824,
0.013620262034237385,
-0.01661960780620575,
-0.0031225490383803844,
0.0001305708719883114,
0.029823530465364456,
-0.0033838236704468727,
0.00629607867449522,
-0.008645424619317055,
0.045134641230106354,
-0.010952288284897804,
0.009100000374019146,
-0.050028759986162186,
-0.04968889057636261,
0.021921569481492043,
-0.014954248443245888,
-0.05828758329153061,
-0.02970457635819912,
0.0017970588523894548,
0.04860130697488785,
0.0073454249650239944,
-0.0013870915863662958,
0.011530065909028053,
-0.03354509919881821,
-0.02113986946642399,
-0.03104705922305584,
0.011266667395830154,
-0.01106274500489235,
0.016832025721669197,
0.01940653659403324,
-0.06148235499858856,
-0.0013382353354245424,
-0.042313724756240845,
0.03249150514602661,
-0.04085228964686394,
0.021258823573589325,
-0.020545098930597305,
-0.007353921886533499,
-0.014792811125516891,
-0.017979085445404053,
-0.00943137239664793,
-0.0004782066971529275,
-0.007986928336322308,
-0.022924182936549187,
0.025252288207411766,
0.005293464288115501,
0.002434313762933016,
0.021003922447562218,
0.05852549150586128,
0.03874509781599045,
-0.04472680017352104,
0.001957434695214033,
-0.01612679846584797,
-0.014444445259869099,
0.02441960759460926,
0.02907581813633442,
0.03626405447721481,
-0.024045752361416817,
0.024164706468582153,
-0.018879739567637444,
-0.03193071857094765,
0.016016339883208275,
0.007472875993698835,
-0.010748365893959999,
-0.0203411765396595,
0.0430954247713089,
-0.01930457539856434,
0.0157784316688776,
0.008619935251772404,
0.012575163505971432,
0.04768365994095802,
-0.011589542962610722,
-0.0024470589123666286,
0.019151633605360985,
0.028650980442762375,
0.0007562091923318803,
-0.007897712290287018,
0.013603268191218376,
-0.009983660653233528,
0.047479741275310516,
-0.022380392998456955,
0.021853595972061157,
-0.018743790686130524,
0.020647060126066208,
-0.006861111149191856,
-0.03172679990530014,
-0.02688366174697876,
0.00174501643050462,
-0.00008914931095205247,
-0.01899869367480278,
0.07565490156412125,
0.0072179739363491535,
-0.013084967620670795,
-0.013076471164822578,
-0.007353921886533499,
-0.008828104473650455,
0.059341177344322205,
0.0018915850669145584,
0.06358954310417175,
-0.02751241810619831,
-0.02603398822247982,
0.040206536650657654,
0.02384182997047901,
0.02119085006415844,
-0.02012026123702526,
0.007014052476733923,
0.04958692938089371,
-0.01631372608244419,
0.024929411709308624,
-0.008084640838205814,
-0.043299347162246704,
-0.046392157673835754,
0.03789542615413666,
-0.020986929535865784,
0.008845098316669464,
0.0338679738342762,
0.028599999845027924,
0.029279738664627075,
-0.005136274732649326,
-0.010663398541510105,
0.0017535131191834807,
-0.02154771238565445,
0.04574640467762947,
0.01725686341524124,
0.0014104575384408236,
0.002383333398029208,
0.021037908270955086,
0.005888235289603472,
-0.03544836863875389,
-0.017996078357100487,
0.01774117723107338,
0.02392679825425148,
-0.0265267975628376,
0.004821895621716976,
-0.026407843455672264,
0.03118300810456276,
-0.02606797404587269,
-0.031132027506828308,
0.017180392518639565,
-0.03534640744328499,
-0.014886274933815002,
-0.005709804128855467,
0.005255228839814663,
-0.013322875835001469,
0.030095426365733147,
-0.013178431428968906,
0.0029802287463098764,
0.032372549176216125,
-0.012082353234291077,
-0.020052287727594376,
0.005238235462456942,
0.01133464090526104,
-0.010009150952100754,
-0.020103268325328827,
-0.01940653659403324,
-0.025745099410414696,
0.0197124183177948,
0.029959477484226227,
0.0518980398774147,
0.023196078836917877,
0.028192156925797462,
-0.03118300810456276,
-0.012779084965586662,
-0.004792157094925642,
0.005845751613378525,
-0.004324836656451225,
0.048907190561294556,
0.06960523128509521,
-0.0008310865960083902,
-0.0313529409468174,
-0.03413987159729004,
-0.007073529530316591,
-0.025337254628539085,
0.004388562403619289,
-0.008734640665352345,
-0.0178261436522007,
-0.03670588508248329,
0.02039215713739395,
0.002493790816515684,
0.05098039284348488,
0.024521568790078163,
-0.03471764922142029,
0.001997794257476926,
0.07687843590974808,
-0.03775947913527489,
0.0012840686831623316,
0.0024470589123666286,
0.0031076797749847174,
-0.010433986783027649,
-0.005879738833755255,
0.0420418307185173,
0.007285947911441326,
0.015183660201728344,
0.03033333458006382,
-0.013186928816139698,
0.03069019690155983,
-0.0075026145204901695,
0.004052941221743822,
-0.006300326902419329,
0.010697386227548122,
0.01396013144403696,
-0.03038431517779827,
0.029466668143868446,
0.0012851307401433587,
-0.04873725771903992,
0.0332392156124115,
-0.023145098239183426,
-0.040886275470256805,
0.008947059512138367,
0.026594771072268486,
-0.007770261727273464,
0.03660392388701439,
0.026866666972637177,
-0.015175163745880127,
0.04870326817035675,
0.02236340008676052,
0.04261960834264755,
0.04999477416276932,
-0.017503269016742706,
0.008989542722702026,
-0.004078431520611048,
-0.018794771283864975,
0.05213594809174538,
0.024572549387812614,
0.008186601102352142,
0.05716601386666298,
-0.002495915163308382,
-0.021088888868689537,
-0.014622876420617104,
0.005930718965828419,
-0.045406535267829895,
-0.007982679642736912,
-0.014452941715717316,
-0.059035297483205795,
-0.02800522930920124,
-0.042007844895124435,
-0.005212745163589716,
-0.023722875863313675,
0.040342483669519424,
0.041464053094387054,
-0.014588889665901661,
-0.0228562094271183,
0.00021414420916698873,
0.01966143772006035,
0.06817778199911118,
-0.00012340175453573465,
-0.01586339995265007,
0.0688915029168129,
0.008139869198203087,
0.01872679777443409,
0.0018756536301225424,
-0.052577778697013855,
0.01864183135330677,
0.018811766058206558,
-0.0083352942019701,
0.007213725708425045,
-0.027631374076008797,
-0.024096732959151268,
-0.04761568829417229,
-0.007247712463140488,
-0.07483921945095062,
0.02975555695593357,
0.007553595118224621,
0.059035297483205795,
-0.006572222337126732,
0.0289398692548275,
0.02625490352511406,
0.04071634262800217,
-0.02696862816810608,
-0.019100654870271683,
0.04010457545518875,
-0.02176862768828869,
0.030486274510622025,
0.006236601620912552,
-0.029279738664627075,
-0.028752941638231277,
-0.0008836601627990603,
-0.024793464690446854,
-0.017452288419008255,
-0.02091895416378975,
0.02154771238565445,
0.02795424871146679,
-0.005386928096413612,
0.016067320480942726,
0.006937582045793533,
-0.02786928229033947,
0.0265267975628376,
-0.010578431189060211,
0.049043137580156326,
0.0190836600959301,
-0.0036217321176081896,
-0.02795424871146679,
0.017052941024303436,
0.015557516366243362,
-0.030027450993657112,
-0.007625817321240902,
0.024470588192343712,
0.004617974162101746,
0.02231241948902607,
-0.049484968185424805,
-0.0027465687599033117,
0.020188236609101295,
0.06494902074337006,
0.05971503257751465,
-0.0431973859667778,
0.004770915023982525,
0.03490457683801651,
-0.049484968185424805,
-0.008343790657818317,
0.045406535267829895,
0.014130066148936749,
0.017758170142769814,
-0.016407189890742302,
0.0252692811191082,
-0.012090849690139294,
-0.009507843293249607,
-0.042449675500392914,
0.025745099410414696,
-0.027223529294133186,
0.021360784769058228,
0.00353888887912035,
-0.007137255277484655,
-0.032066669315099716,
-0.04472680017352104,
0.023196078836917877,
-0.001261764788068831,
0.0370117649435997,
0.019457517191767693,
-0.004792157094925642,
-0.027903268113732338,
-0.037249673157930374,
-0.034615688025951385,
-0.00314803933724761,
0.022244444116950035,
0.03354509919881821,
0.042721569538116455,
0.0393228754401207,
-0.011300654150545597,
0.003628104692324996,
-0.02102091535925865,
-0.006661437917500734,
0.005875490140169859,
-0.02236340008676052,
-0.054820917546749115,
0.03150588274002075,
0.053563401103019714,
-0.06022483855485916,
0.03254248574376106,
0.050742484629154205,
-0.05121830105781555,
0.01733333431184292,
-0.018539870157837868,
0.03293333575129509,
-0.004237745422869921,
-0.06053072214126587,
-0.0043035950511693954,
0.0013424836797639728,
0.002110375789925456,
-0.01348431408405304,
0.01998431421816349,
-0.015752941370010376,
0.029806537553668022,
-0.0054166666232049465,
-0.025439215824007988,
0.020052287727594376,
-0.022601308301091194,
-0.012107843533158302,
0.0629098042845726,
-0.029177779331803322,
-0.013033987022936344,
-0.036671895533800125,
0.006266340147703886,
-0.032151635736227036,
0.0032075163908302784,
-0.010935294441878796,
0.006852614693343639,
0.025575164705514908,
-0.037385620176792145,
0.012575163505971432,
-0.04323137179017067,
0.01746928133070469,
0.02710457518696785,
-0.03775947913527489,
-0.040682353079319,
0.04557647183537483,
0.0679398700594902,
0.028973856940865517,
0.03840522840619087,
-0.04866928234696388,
-0.013934641145169735,
0.02006928063929081,
-0.02204052358865738,
0.0542091503739357,
-0.030044445767998695,
0.0006505310884676874,
-0.01725686341524124,
0.007417647168040276,
0.005263725761324167,
-0.011988889425992966,
0.0003770424809772521,
0.02078300714492798,
0.04584836587309837,
0.0011863561812788248,
0.011784967966377735,
0.042449675500392914,
-0.022482354193925858,
0.014971242286264896,
-0.011623529717326164,
0.018030066043138504,
0.000580964086111635,
0.02666274644434452,
0.0020200980361551046,
-0.0014359477208927274,
0.002844281028956175,
0.018200000748038292,
-0.0036790850572288036,
-0.002918627578765154,
-0.02455555647611618,
-0.032083660364151,
-0.02554117701947689,
-0.044284969568252563,
-0.05516078695654869,
-0.00831405259668827,
0.03915294259786606,
0.019389543682336807,
-0.009108496829867363,
-0.0358562096953392,
0.00791045743972063,
-0.007664052303880453,
-0.03656993433833122,
0.020052287727594376,
-0.01661960780620575,
0.007935947738587856,
0.031879737973213196,
0.009737255051732063,
-0.00887058861553669,
-0.032015688717365265,
-0.004804902244359255,
-0.05713202804327011,
0.02113986946642399,
-0.007600327022373676,
0.035822223871946335,
0.018335947766900063,
0.007472875993698835,
-0.008734640665352345,
0.03148888796567917,
-0.10597124695777893,
-0.025524184107780457,
0.011088235303759575,
-0.03235555812716484,
0.00249166670255363,
-0.02630588226020336,
0.011733987368643284,
-0.006861111149191856,
0.002958986908197403,
0.016033334657549858,
0.01962745189666748,
0.04646013304591179,
0.022295424714684486,
0.03670588508248329,
0.03087712451815605,
0.015081699937582016,
0.025915034115314484,
0.01649215817451477,
-0.0044267973862588406,
-0.006963071878999472,
0.012847059406340122,
-0.007468627765774727,
-0.0010371323442086577,
0.004042320419102907,
-0.01211633998900652,
0.03697777912020683,
-0.06957124173641205,
0.04391111060976982,
-0.013951634056866169,
-0.018811766058206558,
0.004012581892311573
] |
Reduced system dependability and higher maintenance costs may be the
consequence of poor electric power quality, which can disturb normal equipment
performance, speed up aging, and even cause outright failures. This study
implements and tests a prototype of an Online Sequential Extreme Learning
Machine (OS-ELM) classifier based on wavelets for detecting power quality
problems under transient conditions. In order to create the classifier, the
OSELM-network model and the discrete wavelet transform (DWT) method are
combined. First, discrete wavelet transform (DWT) multi-resolution analysis
(MRA) was used to extract characteristics of the distorted signal at various
resolutions. The OSELM then sorts the retrieved data by transient duration and
energy features to determine the kind of disturbance. The suggested approach
requires less memory space and processing time since it can minimize a large
quantity of the distorted signal's characteristics without changing the
signal's original quality. Several types of transient events were used to
demonstrate the classifier's ability to detect and categorize various types of
power disturbances, including sags, swells, momentary interruptions,
oscillatory transients, harmonics, notches, spikes, flickers, sag swell, sag
mi, sag harm, swell trans, sag spike, and swell spike. | [
-0.05459652841091156,
0.020717084407806396,
-0.010261187329888344,
0.009803620167076588,
-0.022858887910842896,
0.06639591604471207,
0.0032492137979716063,
-0.002262280322611332,
-0.022216347977519035,
0.006459485739469528,
0.05743928626179695,
-0.03917554020881653,
-0.024202384054660797,
-0.032166000455617905,
-0.023949261754751205,
0.0032175735104829073,
-0.03837722912430763,
-0.003879585536196828,
0.02792133390903473,
0.0014335482846945524,
-0.023326190188527107,
-0.035008758306503296,
-0.03831881657242775,
0.012850822880864143,
-0.02945953793823719,
0.04178464412689209,
0.030705679208040237,
-0.023754552006721497,
-0.05268837511539459,
0.03424939140677452,
0.016774218529462814,
0.015888290479779243,
-0.043887507170438766,
-0.003947733901441097,
-0.056232087314128876,
-0.054479699581861496,
0.01952935755252838,
0.038669295608997345,
0.0017779405461624265,
0.03580706566572189,
0.016287444159388542,
-0.06631803512573242,
-0.0055005415342748165,
-0.03588495030999184,
0.05416816473007202,
-0.04007120430469513,
-0.013678338378667831,
-0.03329531475901604,
0.03035520203411579,
-0.007486578077077866,
0.018078772351145744,
-0.07301604002714157,
-0.05603737756609917,
-0.02663625217974186,
-0.036702729761600494,
0.036079660058021545,
0.06047675386071205,
0.06440988183021545,
0.02297571487724781,
0.019198350608348846,
0.007437900640070438,
0.03987649455666542,
-0.042563483119010925,
0.017407024279236794,
0.02056131698191166,
-0.01527495589107275,
0.02747350186109543,
-0.010601929388940334,
0.05888013541698456,
0.015187336131930351,
-0.05303885042667389,
-0.01860448718070984,
-0.017660146579146385,
0.036488547921180725,
-0.006586046889424324,
0.02753191441297531,
-0.015761729329824448,
0.0641372874379158,
0.010241716168820858,
-0.00005700575275113806,
0.02252788282930851,
0.06421517580747604,
0.027200909331440926,
0.029615305364131927,
0.04088898375630379,
-0.000023292877813219093,
-0.01149759255349636,
-0.08512696623802185,
0.07395064830780029,
0.019772743806242943,
-0.016628185287117958,
0.04112263396382332,
0.03072514943778515,
0.05915272980928421,
0.009112401865422726,
-0.03602124750614166,
-0.0407332144677639,
-0.003889321116730571,
-0.036060187965631485,
0.02988789975643158,
0.012656114064157009,
-0.010864786803722382,
-0.0038601146079599857,
-0.01817612536251545,
0.005354509688913822,
-0.03310060501098633,
-0.061645008623600006,
0.015995381399989128,
0.014350085519254208,
0.1556117832660675,
-0.006454617716372013,
0.008907957002520561,
0.07636503875255585,
0.006362130865454674,
-0.013804899528622627,
-0.021573806181550026,
0.044977881014347076,
-0.02813551388680935,
-0.052727315574884415,
0.033003248274326324,
0.007963616400957108,
0.07457371801137924,
0.016968928277492523,
0.0223331730812788,
-0.024805983528494835,
0.04439375177025795,
0.05264943093061447,
0.0519874207675457,
0.029965782538056374,
0.0507412813603878,
-0.023345662280917168,
0.003896622685715556,
-0.00746710691601038,
-0.009745207615196705,
0.03592389076948166,
0.012996855191886425,
0.005933769978582859,
0.055959492921829224,
0.058568600565195084,
-0.04634084552526474,
-0.020717084407806396,
-0.018526602536439896,
-0.02100914902985096,
-0.026714134961366653,
0.06355316191911697,
0.01441823411732912,
-0.03479457646608353,
0.04049956426024437,
-0.03191287815570831,
0.0032054041512310505,
-0.048210058361291885,
0.015771465376019478,
-0.004098633769899607,
0.027609799057245255,
0.043653856962919235,
0.005135461688041687,
-0.013454422354698181,
0.028077101334929466,
0.0026358789764344692,
-0.03674167022109032,
0.02060025930404663,
-0.016560038551688194,
0.03798781335353851,
-0.0062063634395599365,
-0.0060846698470413685,
-0.005033239256590605,
-0.009141608141362667,
-0.008070706389844418,
-0.06939444690942764,
0.04447163641452789,
0.007442768197506666,
0.03121192380785942,
-0.004663290921598673,
0.015138658694922924,
-0.02922588773071766,
0.04478317126631737,
0.028719643130898476,
0.002857360988855362,
-0.05436287447810173,
0.0034366215113550425,
-0.042329832911491394,
0.03796834126114845,
0.02774609439074993,
-0.0037140825297683477,
0.024143971502780914,
-0.018146919086575508,
0.041278399527072906,
-0.020308194682002068,
-0.013668602332472801,
-0.046496614813804626,
-0.007861393503844738,
0.03056938201189041,
0.04704179987311363,
-0.03121192380785942,
-0.007593668065965176,
-0.025467995554208755,
-0.05755611136555672,
0.0162582378834486,
-0.027415089309215546,
-0.04891101270914078,
-0.021067561581730843,
-0.012733997777104378,
0.023481957614421844,
-0.012519816868007183,
0.02320936508476734,
-0.00395746948197484,
0.0696670413017273,
0.00789059977978468,
-0.026733607053756714,
-0.0009607694228179753,
0.018945228308439255,
-0.0034171505831182003,
0.0006662713713012636,
0.06803147494792938,
-0.00671260803937912,
-0.02013295702636242,
0.02838863618671894,
0.010076213628053665,
0.0450168214738369,
-0.037170033901929855,
0.023462487384676933,
0.010251452215015888,
-0.017397288233041763,
0.005008900538086891,
-0.06347528100013733,
-0.014681091532111168,
-0.05494700372219086,
0.03633278235793114,
-0.0325164757668972,
0.02451391890645027,
-0.033918384462594986,
0.039720725268125534,
0.03335372731089592,
-0.0031737638637423515,
-0.05888013541698456,
0.00920975673943758,
0.015226278454065323,
0.014856330119073391,
-0.054012399166822433,
-0.02727879211306572,
0.046691324561834335,
-0.01860448718070984,
-0.04988455772399902,
-0.011147115379571915,
0.015878554433584213,
0.025195401161909103,
0.03709214925765991,
0.049261488020420074,
0.009088062681257725,
0.035846006125211716,
-0.05089704692363739,
-0.047742754220962524,
0.025662703439593315,
0.028232868760824203,
0.027862921357154846,
0.0035704844631254673,
0.0316208116710186,
-0.041083693504333496,
0.00779811292886734,
-0.03029678948223591,
-0.017056547105312347,
-0.03750103712081909,
-0.05350615456700325,
0.04595142975449562,
-0.09447301924228668,
0.03732579946517944,
0.04326443746685982,
0.04065532982349396,
0.02165168896317482,
-0.017387552186846733,
0.03210758790373802,
-0.005232816096395254,
-0.017407024279236794,
-0.021982695907354355,
-0.0007283349987119436,
-0.04945619776844978,
0.03810463845729828,
-0.02383243478834629,
0.024397091940045357,
0.007983086630702019,
-0.05498594418168068,
0.045795660465955734,
0.006634724326431751,
0.02747350186109543,
0.006698004901409149,
-0.0007039963384158909,
0.00011005646956618875,
0.024747569113969803,
-0.03253594785928726,
0.0016635487554594874,
-0.0045488993637263775,
-0.040811099112033844,
-0.054479699581861496,
0.024844923987984657,
0.019383324310183525,
0.01008594874292612,
0.04439375177025795,
0.009258434176445007,
-0.007856525480747223,
-0.025643233209848404,
-0.0333147868514061,
0.006147950422018766,
0.0398375503718853,
0.051636941730976105,
-0.07032904773950577,
-0.01708575338125229,
0.023676667362451553,
0.009832826443016529,
-0.015966173261404037,
-0.011507327668368816,
0.00719451392069459,
0.023735079914331436,
0.013542041182518005,
-0.05584266781806946,
-0.020931264385581017,
0.01341548003256321,
0.03179605305194855,
-0.0025239211972802877,
-0.005247419234365225,
-0.02291730046272278,
0.02211899310350418,
0.0059678442776203156,
-0.10405272245407104,
0.029089590534567833,
-0.0056222351267933846,
-0.021710103377699852,
-0.008508802391588688,
0.05432393401861191,
-0.03798781335353851,
-0.013269448652863503,
0.013133151456713676,
0.023501429706811905,
0.013376538641750813,
-0.007807848509401083,
0.022644707933068275,
-0.036916911602020264,
-0.04131734371185303,
0.01548913586884737,
-0.025623762980103493,
0.030004724860191345,
-0.012179075740277767,
0.0019641313701868057,
-0.07286027073860168,
-0.01822480373084545,
-0.0051549323834478855,
0.0029011706355959177,
-0.011205527931451797,
0.011186057701706886,
-0.015128923580050468,
-0.002282968256622553,
0.0011895529460161924,
-0.020678142085671425,
0.040616389364004135,
-0.010514309629797935,
-0.017630940303206444,
-0.06561708450317383,
-0.005018635652959347,
0.02276153303682804,
0.00920002069324255,
-0.046068254858255386,
-0.00585588626563549,
-0.0009236529003828764,
-0.02753191441297531,
0.0007502398220822215,
-0.011887011118233204,
0.009380127303302288,
0.04065532982349396,
-0.02513698861002922,
0.0073746200650930405,
0.01709548942744732,
0.00019166710262652487,
0.04330337792634964,
0.019441736862063408,
0.04279713332653046,
-0.02381296455860138,
0.026714134961366653,
0.03837722912430763,
0.026480484753847122,
-0.02211899310350418,
0.042135123163461685,
-0.08279045671224594,
0.006298850290477276,
-0.005286361090838909,
0.0029303771443665028,
0.01171177253127098,
0.03876664862036705,
-0.025721117854118347,
-0.02770715393126011,
-0.01904258318245411,
0.038649823516607285,
-0.016083000227808952,
-0.020853381603956223,
-0.019870098680257797,
-0.01692024990916252,
0.006873243022710085,
-0.018585016950964928,
0.004349322058260441,
0.05039080232381821,
0.047742754220962524,
0.01559622585773468,
-0.02015242725610733,
-0.006649327464401722,
-0.005242551676928997,
0.013571248389780521,
-0.020736554637551308,
-0.007067952770739794,
0.009282772429287434,
0.03656643256545067,
0.0164334774017334,
0.0026748208329081535,
0.021534863859415054,
-0.00444180890917778,
0.029634777456521988,
-0.04225194826722145,
-0.025020163506269455,
0.038883473724126816,
-0.03234123811125755,
0.013172093778848648,
0.02686990238726139,
-0.023890849202871323,
-0.096108578145504,
0.02556535042822361,
0.05089704692363739,
0.0270646121352911,
-0.01061166450381279,
0.059464264661073685,
-0.0053301709704101086,
-0.06511083990335464,
0.011585211381316185,
0.04026591405272484,
0.03444410115480423,
0.01472003385424614,
0.012325107119977474,
-0.008766792714595795,
-0.04419904202222824,
0.029595835134387016,
0.022177405655384064,
0.010076213628053665,
-0.0381435789167881,
0.010913464240729809,
-0.07052376121282578,
0.009448275901377201,
0.012889765202999115,
0.016783954575657845,
-0.05011821165680885,
-0.021125974133610725,
-0.022839417681097984,
0.0014773579314351082,
0.056387852877378464,
-0.0016428609378635883,
-0.06635697931051254,
0.049689847975969315,
0.017640674486756325,
-0.010455897077918053,
0.010270923376083374,
-0.007793245371431112,
-0.016297180205583572,
-0.06456565111875534,
0.0270646121352911,
-0.010650606825947762,
-0.010572722181677818,
0.0905788317322731,
0.02317042276263237,
-0.009127005003392696,
0.029751602560281754,
0.04007120430469513,
-0.032399650663137436,
-0.018984170630574226,
0.007642345502972603,
0.04828794300556183,
-0.002314608544111252,
-0.054713353514671326,
-0.007554726209491491,
0.05891907587647438,
0.008391977287828922,
-0.024805983528494835,
-0.012656114064157009,
-0.018039830029010773,
0.023034127429127693,
-0.024805983528494835,
0.03876664862036705,
0.009701398201286793,
-0.008051235228776932,
0.030257847160100937,
0.021087031811475754,
0.023306719958782196,
0.0301020797342062,
-0.017923003062605858,
-0.019100995734333992,
0.05105281621217728,
-0.060515694320201874,
-0.023462487384676933,
0.02576005831360817,
0.020931264385581017,
-0.0060846698470413685,
-0.02794080413877964,
-0.0249228086322546,
-0.00026711702230386436,
0.08613945543766022,
0.025156458839774132,
0.0008098695543594658,
-0.00654710503295064,
-0.017893796786665916,
0.03833828866481781,
-0.01993824727833271,
0.01990904100239277,
0.02077549695968628,
-0.05155906081199646,
-0.010475368238985538,
-0.058334946632385254,
0.05743928626179695,
-0.03946760296821594,
0.01692998595535755,
-0.03076409175992012,
0.0017000568332150578,
0.05093599110841751,
-0.0320686437189579,
0.012042778544127941,
0.020678142085671425,
0.06195654347538948,
0.008421183563768864,
-0.02901170589029789,
0.006926788482815027,
0.0261689480394125,
-0.044549521058797836,
0.029790544882416725,
0.04637978971004486,
0.03580706566572189,
-0.015898026525974274,
-0.019237292930483818,
-0.04595142975449562,
0.06219019368290901,
-0.01731940545141697,
-0.017290199175477028,
-0.026052122935652733,
-0.016949456185102463,
-0.019149674102663994,
0.04696391522884369,
-0.03491140156984329,
-0.036508020013570786,
-0.006264776457101107,
0.07959721982479095,
-0.054051339626312256,
-0.025623762980103493,
0.01946120895445347,
-0.00009058552677743137,
0.006542237009853125,
-0.02208005078136921,
0.006225834134966135,
-0.004763079807162285,
-0.03031625971198082,
-0.03292536735534668,
0.014106699265539646,
0.0368974395096302,
-0.028544403612613678,
-0.015917496755719185,
-0.022605765610933304,
-0.02250841073691845,
-0.004685196094214916,
-0.0014968288596719503,
-0.002022544387727976,
-0.024202384054660797,
0.03438568860292435,
0.018020357936620712,
0.03117298148572445,
0.0333147868514061,
0.02141803875565529,
0.041512053459882736,
-0.01691051572561264,
-0.000385768071282655,
-0.024533389136195183,
-0.009866900742053986,
-0.06440988183021545,
-0.006055463571101427,
-0.026071593165397644,
0.04563989117741585,
0.05128646641969681,
-0.034093622118234634,
0.015440458431839943,
0.04575672000646591,
0.00877652782946825,
-0.0001820837496779859,
0.034327276051044464,
0.007384355645626783,
-0.0023693705443292856,
-0.019870098680257797,
0.017504379153251648,
-0.041901472955942154,
-0.011322353966534138,
0.014077492989599705,
0.02077549695968628,
0.03662484511733055,
-0.015284691005945206,
-0.002115031238645315,
-0.008469861000776291,
0.005242551676928997,
0.02622736245393753,
-0.04704179987311363,
0.062034428119659424,
-0.025020163506269455,
0.036040715873241425,
0.05845177546143532,
0.0030179964378476143,
0.05136435106396675,
-0.0018923323368653655,
0.005164667963981628,
0.009823091328144073,
0.00791980605572462,
0.02770715393126011,
-0.0015625432133674622,
0.040421679615974426,
-0.009569969028234482,
0.08434812724590302,
0.02229423075914383,
0.029576364904642105,
-0.005831547547131777,
0.01494394987821579,
0.00030727582634426653,
-0.017426494508981705,
-0.0253706406801939,
0.06779782474040985,
0.022177405655384064,
0.03763733431696892,
-0.005300964694470167,
0.01880893111228943,
0.028855938464403152,
-0.003451224882155657,
-0.03851352632045746,
-0.016618451103568077,
-0.0223331730812788,
-0.02336513251066208,
-0.010514309629797935,
-0.03826040402054787,
-0.005534615833312273,
-0.009808488190174103,
0.0192957054823637,
0.010426690801978111,
-0.032360710203647614,
0.02056131698191166,
0.01928596943616867,
0.03611860051751137,
-0.003925829194486141,
-0.0034220183733850718,
-0.00412297248840332,
0.009024782106280327,
-0.01268532034009695,
0.018146919086575508,
0.02768768183887005,
0.0741453543305397,
0.04326443746685982,
0.01028065849095583,
0.030472027137875557,
0.006809962447732687,
0.02685043215751648,
0.006586046889424324,
-0.02901170589029789,
0.018546074628829956,
-0.0031007479410618544,
0.0011992884101346135,
-0.022430527955293655,
-0.03763733431696892,
0.018127448856830597,
0.021612748503684998,
0.001417728140950203,
-0.00846012495458126,
0.019023112952709198,
-0.0005743928486481309,
-0.03639119490981102,
0.030666736885905266,
0.03783204406499863,
-0.02579900063574314,
-0.0468081496655941,
-0.020541846752166748,
0.02622736245393753,
0.012373784556984901,
-0.04875524342060089,
0.022352643311023712,
0.035865478217601776,
0.024338679388165474,
-0.011663095094263554,
0.0006431496003642678,
-0.02147645130753517,
0.038435641676187515,
0.061372414231300354,
0.007652081083506346,
-0.0020055072382092476,
-0.03218546882271767,
0.010533780790865421,
-0.03191287815570831,
-0.003998845349997282,
-0.03935077786445618,
-0.000547011848539114,
0.034580398350954056,
-0.019237292930483818,
0.005349641665816307,
-0.020249782130122185,
-0.022566823288798332,
0.017163638025522232,
-0.027337204664945602,
0.01729993335902691,
-0.03812410682439804,
-0.017173372209072113,
-0.008435786701738834,
0.023462487384676933,
0.03785151615738869,
0.00617228914052248,
0.005257154814898968,
-0.021320683881640434,
0.00041162793058902025,
-0.014671356417238712,
0.0063913376070559025,
-0.01714416593313217,
-0.01948067918419838,
0.019315175712108612,
0.09089037030935287,
-0.02552640810608864,
-0.002845191629603505,
0.009063724428415298,
-0.08956634253263474,
0.03419097885489464,
0.06429305672645569,
0.026772547513246536,
-0.011867539957165718,
-0.062462788075208664,
0.0006893930840305984,
0.009253566153347492,
0.04976773262023926,
0.004422338213771582,
-0.04139522835612297,
0.005184138659387827,
0.03292536735534668,
0.0028403240721672773,
-0.017455700784921646,
-0.013892518356442451,
0.019023112952709198,
0.011371031403541565,
0.009759810753166676,
0.04673026502132416,
-0.012558759190142155,
0.02320936508476734,
-0.005437260959297419,
0.007939277216792107,
0.0012802145211026073,
-0.01094267051666975,
-0.029186945408582687,
-0.051208581775426865,
0.01364913210272789,
-0.022274760529398918,
-0.03319795802235603,
0.007861393503844738,
0.03621595725417137,
-0.03699479252099991,
0.00878626387566328,
-0.05584266781806946,
-0.024397091940045357,
0.009127005003392696,
-0.009229227900505066,
-0.01947094313800335,
0.012490610592067242,
0.01449611783027649,
-0.05128646641969681,
0.019636446610093117,
0.04248559847474098,
-0.010660341940820217,
0.06016521528363228,
0.007063084747642279,
-0.01776723563671112,
-0.006663930602371693,
0.00504297437146306,
0.024630744010210037,
0.052960969507694244,
0.06838195770978928,
0.02208005078136921,
-0.041940413415431976,
-0.005885093007236719,
0.0146032078191638,
0.004213025327771902,
-0.006537369452416897,
0.020522374659776688,
0.01267558429390192,
-0.04229088872671127,
-0.023053597658872604,
-0.04525047540664673,
0.031075626611709595,
-0.023715609684586525,
0.010027536191046238,
0.016968928277492523,
-0.04552306607365608,
-0.025039633736014366,
0.030257847160100937,
-0.05778976157307625,
0.02618842013180256,
0.026714134961366653,
0.000528453616425395,
0.01692024990916252,
0.047119684517383575,
-0.014593472704291344,
0.04186252877116203,
-0.05366192013025284,
-0.03339266777038574,
0.0016355592524632812,
0.0037870986852794886,
-0.040421679615974426,
-0.010640870779752731,
-0.04727545380592346,
-0.017903532832860947,
-0.017241520807147026,
-0.06351421773433685,
0.011702037416398525,
-0.020872851833701134,
0.01234457828104496,
-0.005515144672244787,
-0.0025725984014570713,
-0.0425245426595211,
0.020931264385581017,
0.008357902988791466,
-0.03569024056196213,
0.012441933155059814,
-0.03245806321501732,
-0.0031323882285505533,
-0.023481957614421844,
-0.028096571564674377,
-0.015080246143043041,
-0.011546269990503788,
-0.030024195089936256,
-0.05564795807003975,
0.021145444363355637,
0.04306972771883011,
0.008070706389844418,
-0.02642207033932209,
-0.034969814121723175,
-0.023696139454841614,
0.015674110502004623,
-0.023228835314512253,
-0.015070511028170586,
0.010562987066805363,
-0.026928314939141273,
0.035437118262052536,
-0.005004032514989376,
-0.00886901468038559,
0.02104809135198593,
0.033470552414655685,
-0.01687157340347767,
0.009263301268219948,
0.005578425247222185,
0.005787738133221865,
-0.03637172281742096,
-0.01664765737950802,
0.03417150676250458,
0.06331951171159744,
0.0385914109647274,
0.029946312308311462,
0.020269252359867096,
0.022216347977519035,
0.005179271101951599,
0.04077215865254402,
-0.008674305863678455,
0.055531132966279984,
-0.011770186014473438,
0.0077737742103636265,
0.0013422782067209482,
0.005062445532530546,
0.01859475113451481,
-0.007442768197506666,
0.057283516973257065,
-0.032789070159196854,
0.02753191441297531,
-0.018877079710364342,
0.015936966985464096,
-0.05888013541698456,
-0.0325164757668972,
0.03337319940328598,
0.0008354252204298973,
-0.015294426120817661,
0.009969123639166355,
-0.03202970325946808,
-0.004994296934455633,
0.017591997981071472,
0.020444491878151894,
-0.001260743592865765,
0.025876885280013084,
0.0005874749040231109,
0.016540566459298134,
-0.0133083900436759,
0.0296542476862669,
-0.04022696986794472,
-0.03461933881044388,
-0.007598536089062691,
0.0017000568332150578,
-0.029771072790026665,
-0.020055072382092476,
0.01301632635295391,
0.036916911602020264,
0.0010343939065933228,
0.03426885977387428,
0.013931460678577423,
-0.027590326964855194,
-0.03508664295077324,
0.010845315642654896,
-0.019139938056468964,
0.0024849793408066034,
-0.06791464984416962,
0.008026896975934505,
0.001292383880354464,
0.01267558429390192,
-0.023520899936556816,
0.014953684993088245,
-0.012208282016217709,
0.03444410115480423,
-0.04575672000646591,
-0.04563989117741585,
0.012743732891976833,
0.004673026502132416,
-0.05588160827755928,
0.062268078327178955,
-0.04482211172580719,
0.011838333681225777,
-0.031523458659648895,
0.02686990238726139,
-0.04462740197777748,
-0.0188478734344244,
-0.022411055862903595,
0.0063231890089809895,
0.028193926438689232,
-0.06518872082233429,
0.011127644218504429,
-0.015245749615132809,
-0.006255040876567364,
0.0223331730812788,
0.005851018708199263,
-0.03140663355588913,
0.030257847160100937,
0.020541846752166748,
0.010884257964789867,
0.04782063886523247,
-0.015703316777944565,
0.031095096841454506,
0.03074462153017521,
-0.07726070284843445,
-0.013065003789961338,
-0.007097159046679735,
0.041706763207912445,
-0.007471974939107895,
-0.03633278235793114,
-0.0022987884003669024,
-0.02858334593474865,
0.006255040876567364,
-0.02451391890645027,
-0.005038106814026833,
0.0025360905565321445,
0.023968731984496117,
0.01190648227930069,
0.009370392188429832,
-0.011487857438623905,
-0.018322158604860306,
-0.04610719531774521,
-0.032808542251586914,
-0.015586490742862225,
-0.04610719531774521,
0.012013572268188,
-0.009579704143106937,
-0.009735471569001675,
-0.05152011662721634,
-0.0007830970571376383,
-0.032146528363227844,
0.016287444159388542,
-0.04673026502132416,
-0.012636642903089523,
-0.029985254630446434,
0.002335296245291829,
0.02466968633234501,
-0.000038428494008257985,
-0.009044253267347813,
-0.0025774661917239428,
-0.02749297209084034,
0.05307779461145401,
0.005184138659387827,
-0.0006534935673698783,
0.00018482185259927064,
-0.012169339694082737,
0.033451080322265625,
0.018312422558665276,
-0.024572331458330154,
0.013103945180773735,
-0.0002432346809655428,
-0.058607541024684906,
-0.0029547158628702164,
-0.00047186616575345397,
-0.010767431929707527,
-0.019432002678513527,
0.0045805396512150764,
-0.03308113291859627,
0.03816305100917816,
-0.005218212958425283,
-0.018030093982815742,
-0.03185446560382843,
0.014963420107960701,
-0.058373890817165375,
0.008645099587738514,
0.0532335601747036,
-0.023676667362451553,
-0.0055005415342748165,
-0.007978219538927078,
0.039487075060606,
-0.002823286922648549,
0.003587521379813552,
-0.004746042657643557,
-0.03450251370668411,
-0.03397679701447487,
-0.005885093007236719,
0.012198545970022678,
-0.024105029180645943,
0.01691051572561264,
0.04637978971004486,
-0.0235793124884367,
0.03230229765176773,
0.011322353966534138,
0.0066055175848305225,
0.0034122830256819725,
-0.016190089285373688,
0.017854856327176094,
-0.009638117626309395,
-0.041706763207912445,
-0.011078966781497002
] |
With the devastating outbreak of COVID-19, vaccines are one of the crucial
lines of defense against mass infection in this global pandemic. Given the
protection they provide, vaccines are becoming mandatory in certain social and
professional settings. This paper presents a classification model for detecting
COVID-19 vaccination related search queries, a machine learning model that is
used to generate search insights for COVID-19 vaccinations. The proposed method
combines and leverages advancements from modern state-of-the-art (SOTA) natural
language understanding (NLU) techniques such as pretrained Transformers with
traditional dense features. We propose a novel approach of considering dense
features as memory tokens that the model can attend to. We show that this new
modeling approach enables a significant improvement to the Vaccine Search
Insights (VSI) task, improving a strong well-established gradient-boosting
baseline by relative +15% improvement in F1 score and +14% in precision. | [
-0.017262566834688187,
0.022902999073266983,
-0.01442813128232956,
0.025348765775561333,
0.053882718086242676,
-0.02950088307261467,
-0.018779322504997253,
0.027111994102597237,
-0.007560075260698795,
0.02332010678946972,
0.01850440911948681,
-0.035359349101781845,
-0.012769180350005627,
-0.037255290895700455,
-0.0390564389526844,
0.057067904621362686,
-0.0301265437155962,
-0.01874140277504921,
0.01648522913455963,
-0.048536159098148346,
-0.028552912175655365,
-0.018352733924984932,
-0.0032681329175829887,
0.012845017947256565,
0.050697531551122665,
0.03630731999874115,
-0.01825793646275997,
0.01333796326071024,
-0.025443563237786293,
0.06927777826786041,
0.0040810187347233295,
-0.0013354553375393152,
-0.002339120488613844,
-0.048801589757204056,
-0.042810406535863876,
0.01816314086318016,
0.022201500833034515,
0.0472089983522892,
-0.04565432295203209,
-0.005213845055550337,
-0.02259964868426323,
-0.029444005340337753,
0.032268960028886795,
-0.04409964755177498,
0.014807320199906826,
-0.03710361570119858,
-0.022447973489761353,
-0.05001499503850937,
0.013233686797320843,
-0.03393739089369774,
-0.012238316237926483,
-0.016068123281002045,
0.026296738535165787,
0.013774030841886997,
-0.03132098913192749,
0.03022134117782116,
-0.007379960734397173,
-0.011916005983948708,
0.05289682745933533,
-0.016087081283330917,
-0.004666391294449568,
0.03122619166970253,
0.030847003683447838,
-0.00802932120859623,
-0.04455467686057091,
0.040724869817495346,
-0.0027846673037856817,
-0.010655202902853489,
-0.026922399178147316,
0.05854674056172371,
-0.032287921756505966,
0.05058377608656883,
0.020400352776050568,
0.024912700057029724,
0.00083066028309986,
0.017196208238601685,
-0.0040786489844322205,
0.06571340560913086,
-0.013688713312149048,
0.009820988401770592,
0.07310758531093597,
0.03530247136950493,
0.003945932723581791,
0.02206878364086151,
0.08797178417444229,
0.0025666337460279465,
-0.006441468372941017,
-0.07371428608894348,
-0.03977689892053604,
-0.015527778305113316,
-0.032174162566661835,
-0.023168431594967842,
0.017366843298077583,
-0.03249647468328476,
-0.027851412072777748,
0.05153174698352814,
-0.01325264573097229,
-0.016788581386208534,
-0.04500970244407654,
0.002898423932492733,
0.017196208238601685,
-0.04538889229297638,
0.012494268827140331,
0.006446208339184523,
0.02441975474357605,
-0.03096075914800167,
-0.02151896059513092,
0.001795221702195704,
-0.021443122997879982,
0.15379895269870758,
-0.01933862455189228,
-0.051873017102479935,
-0.0013307154877111316,
0.007308862637728453,
0.020021164789795876,
0.0016020723851397634,
-0.07045326381921768,
-0.0059911818243563175,
0.005484017077833414,
-0.04349294677376747,
0.016475750133395195,
0.03829806298017502,
0.018589727580547333,
0.003374779596924782,
-0.017272045835852623,
0.03194665163755417,
-0.011470459401607513,
-0.04948412999510765,
0.0195282194763422,
0.008787699043750763,
0.03293254226446152,
0.0018746142741292715,
-0.03196560963988304,
-0.002770447637885809,
0.047891534864902496,
0.008934634737670422,
0.021955028176307678,
0.01734788529574871,
-0.016257716342806816,
0.024021606892347336,
0.005446098279207945,
0.00037415261613205075,
-0.049787480384111404,
0.021992946043610573,
0.01797354593873024,
-0.0042777229100465775,
-0.017480600625276566,
0.07280423492193222,
0.0009005732135847211,
-0.03365299850702286,
-0.008673942647874355,
0.021443122997879982,
0.04645061865448952,
0.029064815491437912,
0.074851855635643,
-0.018295856192708015,
0.013944665901362896,
0.003201774787157774,
0.04159700497984886,
0.003580963471904397,
0.0254056453704834,
-0.05547530949115753,
0.061694007366895676,
0.05517195910215378,
0.04273457080125809,
-0.0014444721164181828,
-0.03168121725320816,
0.0009076830465346575,
-0.04792945459485054,
0.050242505967617035,
0.02749118208885193,
0.02415432222187519,
-0.011546296998858452,
0.052707232534885406,
-0.016030203551054,
-0.014513448812067509,
-0.012323633767664433,
0.01711089164018631,
-0.02967151813209057,
0.024021606892347336,
-0.07659612596035004,
0.06362786889076233,
-0.006417769473046064,
0.003604662837460637,
0.014143739826977253,
0.0015250496799126267,
0.08046384900808334,
0.016039682552218437,
0.022087743505835533,
0.03719841316342354,
-0.009489198215305805,
-0.0013307154877111316,
0.0014065532013773918,
0.005498236510902643,
-0.02322530932724476,
0.015309744514524937,
-0.0056973109021782875,
-0.0081335986033082,
-0.0070718699134886265,
-0.022921958938241005,
-0.004083388485014439,
-0.043985892087221146,
0.00902469176799059,
0.013973104767501354,
-0.0027846673037856817,
-0.033084217458963394,
0.06116314232349396,
-0.028837302699685097,
-0.022201500833034515,
-0.014589286409318447,
-0.07564815133810043,
-0.0047090500593185425,
-0.06855732202529907,
0.011157628148794174,
0.03697090223431587,
0.009498678147792816,
-0.004194775130599737,
-0.07341093569993973,
-0.03714153543114662,
0.06980864703655243,
0.05156966671347618,
0.028439154848456383,
0.08865432441234589,
-0.020400352776050568,
-0.04610934853553772,
-0.020286597311496735,
-0.0034126986283808947,
-0.012446870096027851,
-0.023111553862690926,
0.006920194253325462,
-0.012200397439301014,
0.03183289244771004,
-0.011821208521723747,
-0.017575398087501526,
0.037350088357925415,
-0.04504762217402458,
-0.013508598320186138,
-0.03133994713425636,
-0.017746033146977425,
-0.005735229700803757,
0.015679454430937767,
-0.056954145431518555,
-0.015328704379498959,
-0.021329365670681,
0.01424801629036665,
0.043910056352615356,
-0.033994268625974655,
0.046602293848991394,
-0.008745039813220501,
0.059494711458683014,
0.018220018595457077,
0.00533234141767025,
-0.021727513521909714,
-0.005867945495992899,
-0.029064815491437912,
0.010456128977239132,
0.03130203112959862,
-0.022827161476016045,
-0.025898590683937073,
-0.05153174698352814,
-0.016143960878252983,
0.005645172204822302,
-0.02931128814816475,
0.050242505967617035,
-0.0006001846631988883,
-0.008071980439126492,
0.0765582025051117,
-0.008010362274944782,
0.010190697386860847,
0.01447553001344204,
0.017821870744228363,
-0.03528350964188576,
-0.024268079549074173,
-0.011650573462247849,
-0.028192682191729546,
-0.009275903925299644,
0.033273812383413315,
-0.006569444667547941,
0.021537920460104942,
0.028533952310681343,
-0.04792945459485054,
-0.05593033879995346,
0.033539243042469025,
0.03170017898082733,
-0.04087654501199722,
0.009953703731298447,
-0.04785361886024475,
0.002096202690154314,
-0.0680643767118454,
-0.015015874058008194,
0.0014077381929382682,
0.012048722244799137,
-0.01720568910241127,
-0.06286948919296265,
0.04406173154711723,
0.008678682148456573,
-0.02216358110308647,
0.0014598766574636102,
-0.005417658947408199,
0.007256724406033754,
-0.08387655019760132,
-0.02485582046210766,
-0.034354500472545624,
0.05847090110182762,
-0.030790124088525772,
-0.009484457783401012,
0.06715432554483414,
0.053882718086242676,
-0.07113580405712128,
-0.060859791934490204,
0.01764175482094288,
0.04129365086555481,
-0.020172839984297752,
-0.0178313497453928,
0.050621695816516876,
0.05490652844309807,
0.01257958635687828,
-0.003813216695562005,
0.03625044226646423,
-0.06620635092258453,
-0.014598766341805458,
0.004962632432579994,
-0.05126631632447243,
0.0840282216668129,
-0.010863756760954857,
-0.012807099148631096,
-0.014020503498613834,
0.019831569865345955,
0.043265435844659805,
0.01809678226709366,
0.01641887240111828,
-0.00676377909258008,
-0.06669929623603821,
-0.01243739016354084,
0.03420282527804375,
-0.026732806116342545,
-0.00765013275668025,
0.04622310772538185,
-0.042165786027908325,
-0.015622575767338276,
0.007067129947245121,
-0.07557231187820435,
-0.022656526416540146,
0.00084250996587798,
0.004294312559068203,
-0.023073634132742882,
-0.03488536179065704,
0.02878042496740818,
-0.05054585635662079,
-0.019130071625113487,
0.0011731151025742292,
-0.0406869500875473,
-0.00198600091971457,
-0.04808112978935242,
-0.028458114713430405,
-0.022997796535491943,
-0.04057319462299347,
-0.04042151942849159,
0.02089329995214939,
0.0035217152908444405,
-0.050621695816516876,
-0.06044268235564232,
-0.0007174961501732469,
0.01679806038737297,
-0.03412698581814766,
-0.013319004327058792,
0.0065362658351659775,
-0.0023260859306901693,
0.0089156748726964,
-0.0196988545358181,
0.007394180167466402,
0.0382411852478981,
0.01673170179128647,
0.012987214140594006,
-0.030278220772743225,
-0.006612103432416916,
-0.009399140253663063,
-0.03659171238541603,
-0.006801697891205549,
0.06719224154949188,
-0.01938602328300476,
0.028097884729504585,
-0.01838117279112339,
-0.009128968231379986,
-0.035529982298612595,
0.00035074958577752113,
0.040459439158439636,
-0.034373458474874496,
-0.07466226071119308,
0.0671164020895958,
0.00332264113239944,
-0.02341490425169468,
-0.003448247443884611,
-0.09722398966550827,
0.02324426919221878,
-0.005265983287245035,
0.014807320199906826,
-0.0033107916824519634,
0.011460979469120502,
-0.020552029833197594,
-0.025993388146162033,
0.04117989540100098,
-0.037179455161094666,
0.04087654501199722,
-0.053503528237342834,
-0.03898060321807861,
-0.0014788360567763448,
-0.04038359969854355,
-0.027074076235294342,
-0.015233906917273998,
-0.01144201960414648,
0.000630993745289743,
0.011024911887943745,
0.024476632475852966,
-0.0036496915854513645,
0.03958730399608612,
0.020286597311496735,
-0.028552912175655365,
0.0003193480079062283,
-0.005611993372440338,
-0.03312213718891144,
0.025708995759487152,
0.05456525832414627,
0.03738800808787346,
-0.047967374324798584,
0.00988734606653452,
0.023395944386720657,
0.011631614528596401,
0.04895326495170593,
-0.017907187342643738,
0.04421340674161911,
0.03259127214550972,
0.01615343987941742,
-0.0372932106256485,
0.037994712591171265,
-0.021917108446359634,
-0.0252350103110075,
-0.0030263999942690134,
0.017983024939894676,
0.004242173861712217,
-0.035814374685287476,
0.0004067391564603895,
-0.014503968879580498,
-0.004358300473541021,
-0.06726808100938797,
0.011290344409644604,
0.025310847908258438,
-0.014096341095864773,
-0.015802690759301186,
0.021386245265603065,
-0.012873457744717598,
0.016333553940057755,
-0.074586421251297,
-0.020760582759976387,
-0.019016314297914505,
0.005739969201385975,
0.03230687975883484,
-0.04656437784433365,
0.01895943656563759,
-0.026524251326918602,
-0.0211587306112051,
0.05247972160577774,
0.008654982782900333,
-0.046071432530879974,
0.005180666223168373,
0.031548503786325455,
-0.044782187789678574,
-0.07113580405712128,
-0.009820988401770592,
0.010569886304438114,
0.0013911486603319645,
-0.01148941833525896,
-0.006294533144682646,
0.023073634132742882,
0.03846869617700577,
-0.013849868439137936,
-0.0025121252983808517,
-0.01859920658171177,
0.011366182006895542,
0.02352866157889366,
0.03879100829362869,
0.007256724406033754,
-0.006593144033104181,
0.026012346148490906,
-0.006564704701304436,
-0.03475264832377434,
-0.020002204924821854,
-0.012949295341968536,
0.010342372581362724,
-0.018201058730483055,
0.006706900894641876,
-0.07780952751636505,
-0.03977689892053604,
-0.005972222425043583,
0.004794367589056492,
-0.0022893520072102547,
-0.037084657698869705,
0.024931659922003746,
0.06328660249710083,
0.00484650582075119,
0.02842019498348236,
-0.01660846546292305,
0.022258378565311432,
0.0361366868019104,
-0.0089156748726964,
0.015489859506487846,
0.03359612077474594,
0.0125321876257658,
0.029007937759160995,
0.014399692416191101,
-0.00006495088018709794,
-0.02569003589451313,
-0.036364197731018066,
-0.01730048656463623,
-0.039094358682632446,
0.018798280507326126,
0.031927689909935,
0.011536817066371441,
0.06211111322045326,
0.020760582759976387,
0.03386155515909195,
-0.04110405966639519,
-0.04576807841658592,
0.029007937759160995,
-0.06897442787885666,
0.018750881776213646,
-0.005166446324437857,
-0.006991292349994183,
0.029936950653791428,
-0.02895106002688408,
-0.052707232534885406,
0.033008377999067307,
0.026201941072940826,
0.018921516835689545,
0.030828043818473816,
-0.021670635789632797,
-0.01338536199182272,
-0.02051411010324955,
0.013044091872870922,
-0.004573964048177004,
-0.016854939982295036,
-0.0017786321695894003,
-0.018343254923820496,
-0.026182981207966805,
0.0004840581095777452,
0.023016756400465965,
0.045161377638578415,
-0.03261023014783859,
-0.009361221455037594,
-0.006991292349994183,
-0.010057981126010418,
0.022751323878765106,
-0.01739528216421604,
0.002768077654764056,
-0.024268079549074173,
-0.013366403058171272,
0.025614198297262192,
0.012551146559417248,
-0.014902116730809212,
-0.004341710824519396,
-0.011982363648712635,
0.012636464089155197,
0.01670326292514801,
-0.05316225811839104,
-0.012219356372952461,
-0.01768915355205536,
-0.0090341717004776,
0.03642107918858528,
-0.03251543268561363,
0.013015653006732464,
0.00980202853679657,
-0.018343254923820496,
-0.004095238167792559,
-0.028533952310681343,
0.013906747102737427,
0.02876146510243416,
0.010778439231216908,
-0.021670635789632797,
-0.014816799201071262,
0.0046995701268315315,
0.008043540641665459,
-0.007223545107990503,
0.005958002991974354,
0.02667592652142048,
0.010863756760954857,
-0.007119268178939819,
-0.02197398617863655,
-0.039738979190588,
-0.00040140681085176766,
-0.02851499244570732,
0.00499107176437974,
-0.0011109045008197427,
-0.03520767390727997,
-0.026486333459615707,
-0.0335582010447979,
0.015774251893162727,
0.04986331984400749,
0.014039462432265282,
0.0283253975212574,
-0.0686710774898529,
0.004678240977227688,
-0.011641094461083412,
0.03850661590695381,
0.06707848608493805,
-0.011186067946255207,
0.0162671972066164,
-0.010057981126010418,
-0.0014800210483372211,
0.024381835013628006,
0.04573016241192818,
-0.016674824059009552,
-0.07238712906837463,
0.07041534781455994,
-0.020741622895002365,
0.04057319462299347,
-0.01593540608882904,
0.029444005340337753,
0.02332010678946972,
-0.0054650576785206795,
-0.007526896428316832,
0.04087654501199722,
-0.011176588013768196,
0.029728395864367485,
0.024798942729830742,
0.003031139960512519,
0.026524251326918602,
0.003253913251683116,
0.012721781618893147,
-0.005564594641327858,
-0.032193124294281006,
-0.07993298768997192,
-0.029462965205311775,
-0.002810736419633031,
-0.029993828386068344,
0.019471341744065285,
-0.03700881823897362,
0.004735119175165892,
0.029538802802562714,
-0.002160190837457776,
-0.023737214505672455,
-0.004728009458631277,
0.006071759387850761,
-0.00033297509071417153,
0.07849206775426865,
0.011897046118974686,
0.012399471364915371,
-0.01855180785059929,
-0.01148941833525896,
0.05983598157763481,
0.028647707775235176,
0.02542460523545742,
0.018779322504997253,
0.014314374886453152,
0.028078924864530563,
-0.007332562003284693,
-0.02942504547536373,
0.014096341095864773,
0.029557760804891586,
0.012285714969038963,
-0.00444598775357008,
0.04766402393579483,
0.06749559193849564,
0.06768518686294556,
-0.013129409402608871,
0.005844246130436659,
-0.022125663235783577,
-0.0018900188151746988,
0.03992857411503792,
0.011347223073244095,
0.03924603387713432,
0.019367065280675888,
-0.037710320204496384,
-0.07985714823007584,
0.024002647027373314,
0.028818342834711075,
-0.036914024502038956,
0.03602292761206627,
0.07344885915517807,
-0.000856729515362531,
-0.04474427178502083,
0.0012406581081449986,
0.004374890122562647,
-0.03378571569919586,
0.0033913692459464073,
-0.0153002655133605,
-0.022561728954315186,
0.04023192450404167,
0.03674338757991791,
-0.019869489595294,
-0.02187919057905674,
-0.04705732315778732,
-0.033539243042469025,
-0.00901047233492136,
0.030448855832219124,
0.03901851922273636,
-0.0015629685949534178,
-0.03395635262131691,
0.014646165072917938,
0.00664528226479888,
-0.019395504146814346,
-0.04030776023864746,
0.001528604538179934,
-0.03133994713425636,
0.020229719579219818,
-0.047512348741292953,
-0.0017881118692457676,
0.002621142193675041,
-0.0019871860276907682,
-0.013006173074245453,
-0.024571429938077927,
-0.024078484624624252,
0.03367196023464203,
-0.00908157043159008,
0.01605864241719246,
-0.0002371410810155794,
-0.0011328263208270073,
0.03723633289337158,
0.016807541251182556,
0.0006155892042443156,
0.00200377544388175,
0.050432100892066956,
0.07318342477083206,
-0.03350132331252098,
-0.010968034155666828,
-0.020741622895002365,
0.013176808133721352,
0.009138448163866997,
0.018201058730483055,
-0.01157473586499691,
-0.0021092372480779886,
0.048536159098148346,
-0.01434281375259161,
-0.022372135892510414,
0.013470679521560669,
0.0031283069401979446,
-0.02415432222187519,
0.007280423771589994,
0.016229277476668358,
0.012788140214979649,
-0.010238096117973328,
0.0009781884727999568,
-0.029728395864367485,
0.04148324579000473,
-0.010380291379988194,
0.005683091003447771,
0.010190697386860847,
0.004600033164024353,
0.017632275819778442,
-0.014864197932183743,
0.000490871665533632,
0.021215610206127167,
-0.02805996686220169,
0.04910494014620781,
-0.05126631632447243,
-0.030657408758997917,
-0.005038470029830933,
0.0027230491396039724,
0.022030865773558617,
-0.05289682745933533,
-0.009043651632964611,
0.02460934780538082,
0.013176808133721352,
0.012645944021642208,
0.02459038980305195,
0.05266931280493736,
-0.0488395094871521,
-0.01615343987941742,
0.04500970244407654,
-0.0075031970627605915,
-0.003938823007047176,
0.005484017077833414,
0.013688713312149048,
0.0586225762963295,
-0.04732275381684303,
-0.03954938426613808,
-0.008365850895643234,
0.04736067354679108,
0.0064319889061152935,
0.006090718787163496,
0.01629563607275486,
-0.049597885459661484,
-0.02032451517879963,
0.013205247931182384,
0.035169754177331924,
-0.027908289805054665,
-0.007332562003284693,
0.023585539311170578,
-0.01176433078944683,
0.01905423402786255,
0.010095899924635887,
-0.0315864197909832,
-0.0030761684756726027,
-0.017291005700826645,
0.008598104119300842,
0.08296649158000946,
-0.0009704861440695822,
-0.00583002669736743,
-0.0018639495829120278,
-0.020760582759976387,
-0.01438073255121708,
0.04569224268198013,
-0.000014145517525321338,
0.006176036316901445,
0.03247751295566559,
-0.03587125241756439,
-0.019376544281840324,
-0.021215610206127167,
0.03479056432843208,
0.03041093610227108,
0.020570987835526466,
0.03693298250436783,
-0.009915784932672977,
0.00250738556496799,
0.009972663596272469,
0.020950177684426308,
-0.022447973489761353,
-0.024287037551403046,
0.002342675346881151,
-0.0029624118469655514,
-0.005848986096680164,
0.007825507782399654,
-0.004313271958380938,
-0.01656106859445572,
-0.00715244747698307,
-0.011679013259708881,
-0.062224872410297394,
0.011536817066371441,
0.057598769664764404,
0.07955379784107208,
0.0039009039755910635,
0.008508047088980675,
-0.004462577402591705,
-0.020305557176470757,
0.02087434008717537,
-0.008858797140419483,
0.06537213921546936,
0.01646627113223076,
-0.004886794835329056,
0.034544091671705246,
0.03048677369952202,
-0.032174162566661835,
0.022580688819289207,
-0.018864639103412628,
0.000256248633377254,
-0.014921076595783234,
-0.013698193244636059,
-0.008659722283482552,
-0.026467373594641685,
0.020078042522072792,
0.013281085528433323,
-0.0031638559885323048,
0.03316005319356918,
0.01248478889465332,
0.054148152470588684,
-0.036914024502038956,
-0.0031994048040360212,
0.03475264832377434,
0.023585539311170578,
0.004491016734391451,
0.005204365123063326,
-0.036364197731018066,
0.010768960230052471,
0.035985011607408524,
0.007583774626255035,
0.03173809498548508,
-0.011195546947419643,
0.0007927414262667298,
-0.04682980850338936,
-0.03213624656200409,
-0.050887126475572586,
-0.018750881776213646,
0.00810989923775196,
-0.024192240089178085,
0.023566579446196556,
0.024836862459778786,
0.003732639132067561,
0.006085979286581278,
0.04701940342783928,
0.011953924782574177,
-0.018248457461595535,
0.04519929736852646,
0.0060954587534070015,
0.025614198297262192,
-0.06355202943086624,
0.03611772507429123,
-0.056688714772462845,
-0.03494224324822426,
-0.006228175014257431,
0.00989682599902153,
-0.019490301609039307,
-0.054792772978544235,
0.022827161476016045,
0.018305335193872452,
-0.051228396594524384,
0.01651366986334324,
-0.024647267535328865,
-0.017309965565800667,
0.04337919130921364,
-0.0011772625148296356,
-0.0019492671126499772,
0.01170745212584734,
-0.024362875148653984,
-0.06624427437782288,
-0.018817240372300148,
-0.017120370641350746,
0.04258289560675621,
0.020210759714245796,
-0.04690564423799515,
-0.003945932723581791,
-0.020191799849271774,
-0.03249647468328476,
-0.022087743505835533,
-0.01651366986334324,
0.022447973489761353,
0.03748280555009842,
0.03475264832377434,
0.05900176614522934,
-0.03606084734201431,
0.04091446474194527,
0.02622090093791485,
0.015755292028188705,
0.015404541976749897,
-0.05202469229698181,
0.06484127044677734,
-0.006370370741933584,
-0.002220623893663287,
0.0015937776770442724,
0.009858907200396061,
-0.011517858132719994,
-0.04504762217402458,
-0.0553615540266037,
0.019376544281840324,
0.017727073282003403,
0.0025002756156027317,
0.021803351119160652,
-0.03096075914800167,
0.02034347504377365,
-0.011034391820430756,
-0.023926809430122375,
-0.012845017947256565,
0.03985273465514183,
0.0410282202064991,
-0.026088183745741844,
-0.003692350350320339,
-0.01421009749174118,
-0.05888801068067551,
0.06939154118299484,
-0.027851412072777748,
0.02751014195382595,
0.039435628801584244,
0.005247023887932301,
-0.015527778305113316,
0.006052799988538027,
-0.010086419992148876,
0.012901896610856056,
0.01891203783452511,
-0.03609876707196236,
-0.017916668206453323,
-0.014835759066045284,
0.014608246274292469,
0.02470414526760578,
-0.027093034237623215,
0.009621914476156235,
-0.0044886465184390545,
-0.034714728593826294,
-0.06180776283144951,
0.006408289540559053,
-0.029462965205311775,
-0.009252204559743404,
0.03981481492519379,
0.04432716220617294,
-0.01448500994592905,
-0.005422398913651705,
0.0022549880668520927,
-0.004924713633954525,
0.0009467868367210031,
0.018058862537145615,
0.005976962391287088,
-0.058129630982875824,
0.021044975146651268,
0.018485451117157936,
-0.035074956715106964,
0.02043827250599861,
0.011337743140757084,
-0.005085868760943413,
-0.05229012668132782,
0.011650573462247849,
-0.018343254923820496,
-0.03668650984764099,
0.06089771166443825,
0.0030619490426033735,
0.05562698841094971,
0.007749669719487429,
-0.013025132939219475,
-0.03346340358257294,
-0.037994712591171265,
0.034354500472545624,
-0.014845238998532295,
0.030164463445544243,
-0.02477998286485672,
0.0009556740988045931,
-0.014323853887617588,
-0.026088183745741844,
0.027623899281024933,
-0.03619356453418732,
0.06396913528442383,
0.07079453766345978,
-0.005574074108153582,
-0.02758597955107689,
0.030429895967245102,
0.00010005546209868044,
-0.03659171238541603,
-0.020134922116994858,
0.029121695086359978,
-0.005284943152219057,
0.00482280645519495,
0.001062320894561708,
0.0182389784604311,
0.0013532297452911735,
-0.03285670280456543,
0.027756614610552788,
-0.012901896610856056,
-0.04341711103916168,
-0.019452381879091263
] |
In cost-per-click (CPC) or cost-per-impression (CPM) advertising campaigns,
advertisers always run the risk of spending the budget without getting enough
conversions. Moreover, the bidding on advertising inventory has few connections
with propensity one that can reach to target cost-per-acquisition (tCPA) goals.
To address this problem, this paper presents a bid optimization scenario to
achieve the desired tCPA goals for advertisers. In particular, we build the
optimization engine to make a decision by solving the rigorously formalized
constrained optimization problem, which leverages the bid landscape model
learned from rich historical auction data using non-parametric learning. The
proposed model can naturally recommend the bid that meets the advertisers'
expectations by making inference over advertisers' historical auction
behaviors, which essentially deals with the data challenges commonly faced by
bid landscape modeling: incomplete logs in auctions, and uncertainty due to the
variation and fluctuations in advertising bidding behaviors. The bid
optimization model outperforms the baseline methods on real-world campaigns,
and has been applied into a wide range of scenarios for performance improvement
and revenue liftup. | [
-0.010664771310985088,
-0.05621183663606644,
-0.02063114196062088,
-0.026765745133161545,
0.025519948452711105,
-0.05311622470617294,
-0.07252044230699539,
0.041526541113853455,
-0.1238246038556099,
0.00667256023734808,
0.014807987958192825,
-0.06568744033575058,
0.03063526377081871,
-0.08833828568458557,
-0.0029776417650282383,
0.008291151374578476,
0.036090340465307236,
0.0031711177434772253,
0.03475016728043556,
-0.02317936159670353,
-0.01593109220266342,
-0.04567919671535492,
0.03488229587674141,
0.029578223824501038,
0.007861729711294174,
0.02618059702217579,
-0.03267383947968483,
0.01611984893679619,
-0.012297519482672215,
0.012854352593421936,
0.0290497038513422,
0.031126031652092934,
0.007248269394040108,
-0.01794135384261608,
-0.04492416977882385,
-0.027256513014435768,
0.06931157410144806,
0.02476491965353489,
-0.02978585660457611,
0.022084571421146393,
0.0021530096419155598,
0.023500248789787292,
-0.04783102869987488,
-0.009008428081870079,
-0.007498372346162796,
-0.005643834825605154,
-0.010136251337826252,
0.0032772936392575502,
0.018894577398896217,
0.010900717228651047,
-0.005379574839025736,
-0.018347181379795074,
0.06334685534238815,
0.008220368064939976,
-0.03933696076273918,
0.0425080806016922,
0.01938534528017044,
0.0038624403532594442,
0.04111127927899361,
0.04616996645927429,
0.015600766986608505,
0.04669848456978798,
-0.049945104867219925,
0.008140145801007748,
-0.048699308186769485,
-0.0036524483002722263,
-0.004685892723500729,
0.037732526659965515,
-0.027671778574585915,
-0.010985658504068851,
-0.06791477650403976,
-0.0033669532276690006,
0.018356619402766228,
0.0039001917466521263,
-0.030031241476535797,
0.00989086739718914,
0.09166040271520615,
0.036996375769376755,
0.010041872970759869,
0.027501896023750305,
0.006120446138083935,
0.05621183663606644,
0.006186510901898146,
0.01692206598818302,
0.03782690688967705,
-0.02916295826435089,
-0.016629492864012718,
-0.07263369858264923,
0.02136729471385479,
0.021612677723169327,
-0.037562645971775055,
0.03729838505387306,
-0.017082510516047478,
-0.036939747631549835,
0.015874464064836502,
0.045981209725141525,
-0.028275800868868828,
-0.007635221350938082,
-0.07542730122804642,
0.034618034958839417,
0.018583128228783607,
0.011315982788801193,
0.009815365076065063,
0.014647544361650944,
0.05730662867426872,
-0.052549950778484344,
-0.035127680748701096,
0.03945021703839302,
-0.0036949184723198414,
0.11665183305740356,
-0.018328305333852768,
0.03184330835938454,
0.016648368909955025,
-0.001002771663479507,
-0.08486515283584595,
-0.01751665025949478,
-0.02368900552392006,
-0.06425289064645767,
0.03690199553966522,
-0.06021348759531975,
-0.0004751367960125208,
-0.0037774997763335705,
0.021556051447987556,
-0.015770647674798965,
-0.03610921651124954,
0.05957171320915222,
0.016110410913825035,
-0.0131752397865057,
0.04046950489282608,
-0.04669848456978798,
-0.03244733065366745,
-0.04805753380060196,
0.03329673781991005,
0.03312685713171959,
0.04352736845612526,
0.0040653543546795845,
0.0668577328324318,
-0.02380225993692875,
0.0016244900180026889,
-0.054815035313367844,
0.0038836754392832518,
0.012920417822897434,
-0.0019288606708869338,
0.00043296138755977154,
-0.025180185213685036,
0.015128874219954014,
0.034051764756441116,
0.026331603527069092,
0.01212763786315918,
0.09558655321598053,
-0.014345533214509487,
0.04031849652528763,
0.04296109452843666,
0.05194592848420143,
0.02249983511865139,
-0.000041806728404480964,
-0.009909743443131447,
-0.04009198769927025,
0.006592338904738426,
0.02870994247496128,
0.03658111020922661,
0.010608144104480743,
-0.029993489384651184,
0.07153891026973724,
0.05511704832315445,
0.03131479024887085,
0.027407517656683922,
-0.009239655919373035,
-0.09989020973443985,
0.033391114324331284,
0.012476838193833828,
-0.0069509767927229404,
-0.06259182840585709,
-0.02538781799376011,
0.025425570085644722,
0.030842896550893784,
0.032069817185401917,
0.03248508274555206,
0.011287669651210308,
0.013194114901125431,
-0.00031233386835083365,
-0.009909743443131447,
0.03335336595773697,
-0.00905561726540327,
-0.006431895308196545,
0.016280291602015495,
0.06104401871562004,
-0.018262241035699844,
0.02644485794007778,
-0.005431483034044504,
0.01729014329612255,
0.016195351257920265,
0.053002968430519104,
0.013392309658229351,
0.015166626311838627,
-0.03425939753651619,
-0.034108392894268036,
-0.014619230292737484,
0.0038765971548855305,
0.006389424670487642,
-0.04922783002257347,
0.010674209333956242,
0.025576574727892876,
0.04046950489282608,
-0.011268793605268002,
-0.007932513020932674,
0.01506280992180109,
-0.051530662924051285,
0.026086218655109406,
-0.03590158373117447,
-0.016167039051651955,
0.0036854806821793318,
-0.03922370821237564,
0.01859256625175476,
-0.002274522092193365,
0.0037774997763335705,
0.019819486886262894,
-0.023368118330836296,
-0.05081338807940483,
-0.0023016559425741434,
0.0022509272675961256,
0.036430101841688156,
0.042696837335824966,
-0.008036329410970211,
-0.02718101069331169,
-0.037506017833948135,
0.0024302464444190264,
0.004902963526546955,
0.009711548686027527,
0.016053784638643265,
-0.006450770888477564,
0.01859256625175476,
-0.06912282109260559,
0.005289915483444929,
-0.004221078474074602,
-0.016431298106908798,
-0.009673796594142914,
-0.005573050584644079,
-0.03250395879149437,
-0.012278643436729908,
-0.032768215984106064,
-0.015223253518342972,
0.007413431536406279,
0.000666548206936568,
0.022745219990611076,
-0.0020539122633635998,
0.0003064352204091847,
0.017818661406636238,
-0.008394967764616013,
-0.017535526305437088,
-0.01995161548256874,
-0.037732526659965515,
-0.03860080987215042,
0.055079296231269836,
-0.021442797034978867,
-0.014770235866308212,
0.04375387728214264,
-0.05296521633863449,
0.03435377776622772,
-0.02774728089570999,
0.07161440700292587,
0.042545828968286514,
0.014515413902699947,
-0.009640764445066452,
0.01592165417969227,
0.023141609504818916,
0.009796489030122757,
0.01059870608150959,
-0.025538824498653412,
0.05534355714917183,
0.0013543316163122654,
-0.04130003601312637,
0.07138790190219879,
-0.007101982831954956,
-0.015685707330703735,
-0.020650018006563187,
0.03169230371713638,
-0.00717748561874032,
-0.02289622649550438,
0.016535114496946335,
-0.014090711250901222,
-0.03108827956020832,
0.02887982316315174,
0.0246516652405262,
-0.04330085963010788,
-0.03293810039758682,
-0.05032261833548546,
-0.030371002852916718,
-0.022405456751585007,
-0.013430061750113964,
-0.0191305223852396,
-0.008829109370708466,
0.015412010252475739,
-0.008748887106776237,
0.08343060314655304,
0.004907682538032532,
-0.022065695375204086,
-0.019253214821219444,
-0.012231454253196716,
-0.023217111825942993,
-0.05568331852555275,
0.011032847687602043,
0.0442068912088871,
0.029993489384651184,
0.040620509535074234,
-0.004992622882127762,
0.02504805475473404,
0.0048416173085570335,
-0.041186779737472534,
-0.010334446094930172,
0.020197000354528427,
-0.036826495081186295,
0.02887982316315174,
-0.003194712335243821,
-0.023726755753159523,
0.05315397307276726,
0.054966043680906296,
-0.018035732209682465,
-0.06228981539607048,
-0.019168274477124214,
0.019574102014303207,
0.023613503202795982,
-0.06908506900072098,
0.03295697271823883,
0.02063114196062088,
-0.015581891871988773,
0.012250330299139023,
0.03975222632288933,
0.02882319502532482,
0.02723763696849346,
-0.010419387370347977,
-0.04103577509522438,
-0.07346422970294952,
0.038921695202589035,
-0.017695970833301544,
0.011740686371922493,
-0.007658815942704678,
0.004926558118313551,
-0.024236399680376053,
-0.006238419096916914,
0.014628668315708637,
-0.02385888621211052,
-0.04922783002257347,
0.015563015826046467,
0.014081273227930069,
-0.04462215676903725,
-0.027652902528643608,
0.0011803212109953165,
-0.01703532040119171,
0.006512117106467485,
0.001295345020480454,
-0.03548631817102432,
-0.029578223824501038,
0.04900132119655609,
0.07520079612731934,
-0.0065970574505627155,
-0.06402637809515,
-0.03686424344778061,
-0.0626295804977417,
-0.0212540403008461,
0.02735089138150215,
-0.04481091350317001,
-0.0064979600720107555,
0.032919224351644516,
-0.024613915011286736,
0.057117871940135956,
0.014336095191538334,
0.013590505346655846,
0.03018224611878395,
-0.009758737869560719,
-0.039148204028606415,
0.02199019119143486,
0.06851879507303238,
0.05832591652870178,
-0.0532672293484211,
0.04934108257293701,
-0.04296109452843666,
-0.02731313928961754,
-0.06953808665275574,
0.04911457374691963,
-0.0026190036442130804,
-0.022933976724743843,
0.07206742465496063,
0.02012149803340435,
-0.023651253432035446,
-0.008272276259958744,
-0.02034800685942173,
-0.07252044230699539,
-0.04624546691775322,
0.06145928427577019,
-0.017762035131454468,
-0.04205506294965744,
-0.02051788754761219,
-0.02616172283887863,
-0.011825626716017723,
-0.051757171750068665,
0.02533119171857834,
-0.03907269984483719,
-0.01879076100885868,
-0.06780152022838593,
0.03743051737546921,
-0.02712438255548477,
-0.022877350449562073,
0.05149291455745697,
0.008805514313280582,
0.0345802865922451,
-0.028407931327819824,
-0.04624546691775322,
-0.011466988362371922,
0.024406282231211662,
-0.014675857499241829,
-0.02674686908721924,
0.0015017979312688112,
0.006073256954550743,
0.039487965404987335,
0.002621362917125225,
-0.03567507490515709,
-0.040809266269207,
0.046660732477903366,
-0.04156429320573807,
0.0035698669962584972,
0.01678049936890602,
0.029823608696460724,
-0.021386168897151947,
0.015138312242925167,
0.005591926630586386,
0.06606495380401611,
0.009815365076065063,
-0.052549950778484344,
0.004617468453943729,
0.06157253682613373,
0.022009067237377167,
-0.0246516652405262,
-0.007842853665351868,
0.02012149803340435,
0.021858062595129013,
-0.008173178881406784,
0.018686944618821144,
-0.02216007374227047,
-0.013826451264321804,
0.03503330051898956,
-0.0246516652405262,
-0.021272914484143257,
0.05047362670302391,
0.004539606161415577,
-0.04186630621552467,
-0.028124794363975525,
-0.049605343490839005,
-0.020876524969935417,
-0.0005181969609111547,
-0.09158490598201752,
0.010900717228651047,
-0.04103577509522438,
-0.001694094156846404,
0.010721398517489433,
0.01011737622320652,
-0.030427630990743637,
-0.06965133547782898,
0.005261601880192757,
-0.017988543957471848,
-0.012004946358501911,
0.02051788754761219,
-0.015194939449429512,
-0.03478791564702988,
0.04413139075040817,
0.032296326011419296,
-0.03805341199040413,
-0.02774728089570999,
0.01668611913919449,
-0.02397214062511921,
-0.0023901357781141996,
-0.04749126359820366,
-0.0021199772600084543,
0.044282395392656326,
-0.0005243906052783132,
-0.012495714239776134,
-0.006799971219152212,
-0.08078800141811371,
0.031050529330968857,
-0.005200255662202835,
0.013599942438304424,
-0.019970491528511047,
0.012514590285718441,
-0.023934388533234596,
0.024066518992185593,
-0.05115314945578575,
0.044282395392656326,
0.03697749972343445,
-0.005988316144794226,
-0.052663207054138184,
-0.06402637809515,
0.007592750713229179,
0.01243908703327179,
0.014883490279316902,
-0.025142434984445572,
0.02414202131330967,
-0.02119741216301918,
-0.056325092911720276,
0.01283547654747963,
-0.011986070312559605,
0.023953264579176903,
0.006861317437142134,
-0.014147338457405567,
-0.004865211900323629,
0.0006624191300943494,
-0.07048186659812927,
0.00209402316249907,
0.021518299356102943,
0.014317219145596027,
0.053229477256536484,
0.0008287612581625581,
0.028747692704200745,
0.007805102504789829,
-0.011146101169288158,
0.020782146602869034,
0.023273739963769913,
0.0195552259683609,
-0.010230629704892635,
0.018800199031829834,
0.021461673080921173,
0.0340140126645565,
-0.013392309658229351,
-0.016874877735972404,
0.03337223827838898,
-0.010155127383768559,
0.02074439637362957,
0.026218349114060402,
-0.003916707821190357,
0.08267556875944138,
-0.024406282231211662,
-0.012618406675755978,
0.06564968824386597,
-0.017158012837171555,
-0.050737883895635605,
-0.009423693642020226,
0.006361111532896757,
0.0038010943681001663,
0.021065283566713333,
-0.04511292651295662,
0.004761395510286093,
0.02300947904586792,
0.005695743020623922,
0.020650018006563187,
0.007639939896762371,
0.0298991110175848,
0.0212540403008461,
-0.0014982587890699506,
-0.047680020332336426,
-0.005827872548252344,
0.04058275744318962,
-0.00737568037584424,
0.0013779262080788612,
0.00848934706300497,
0.0016787577187642455,
0.018347181379795074,
-0.019970491528511047,
-0.01796966791152954,
-0.06440389156341553,
0.019649604335427284,
-0.0034613318275660276,
-0.04571694880723953,
-0.029351714998483658,
0.01660117879509926,
-0.012844914570450783,
-0.0007072489243000746,
-0.002397214062511921,
0.02232995443046093,
0.07701285928487778,
-0.0323152020573616,
0.0036784023977816105,
-0.0026142846327275038,
0.024802671745419502,
-0.042923346161842346,
-0.021386168897151947,
-0.03029550053179264,
0.0005217361613176763,
-0.006115727126598358,
0.0006258474895730615,
-0.039261460304260254,
0.019234338775277138,
-0.002496311441063881,
-0.029804732650518417,
0.06530992686748505,
0.02810591831803322,
0.03165455162525177,
0.015091123059391975,
-0.016336919739842415,
-0.04273458942770958,
0.019932741299271584,
-0.021782558411359787,
0.007852291688323021,
0.071991927921772,
0.02272634394466877,
-0.02232995443046093,
0.0001824159553507343,
-0.044508904218673706,
0.007248269394040108,
0.026539236307144165,
0.0348634198307991,
-0.024897050112485886,
0.04839729890227318,
-0.011665183119475842,
-0.016620054841041565,
0.017309017479419708,
-0.01961185410618782,
0.01326018013060093,
0.007734318729490042,
-0.021782558411359787,
0.006361111532896757,
0.06312034279108047,
-0.03786465525627136,
0.026709116995334625,
0.0035391938872635365,
-0.018403809517621994,
0.04681174084544182,
0.005266320891678333,
0.017091946676373482,
-0.01779978722333908,
-0.023537999019026756,
-0.004969028290361166,
0.011863377876579762,
-0.03990323096513748,
-0.00010440622281748801,
-0.010098500177264214,
-0.0029917985666543245,
-0.02193356491625309,
-0.022405456751585007,
-0.011391486041247845,
-0.01384532731026411,
-0.06372436881065369,
-0.0033905478194355965,
-0.0076257833279669285,
-0.01483630109578371,
0.025916337966918945,
0.048246294260025024,
0.024519536644220352,
-0.03811004012823105,
0.04311210289597511,
-0.012193703092634678,
-0.02589746192097664,
0.008635633625090122,
-0.031522419303655624,
-0.0014864614931866527,
0.08448763936758041,
0.016591740772128105,
-0.010589268058538437,
0.0076257833279669285,
0.020536763593554497,
0.04043175280094147,
0.04092251881957054,
-0.029917987063527107,
0.014137900434434414,
0.023670129477977753,
0.023424744606018066,
-0.050171613693237305,
-0.03737388923764229,
0.006998166441917419,
0.015581891871988773,
0.03318348154425621,
0.042545828968286514,
0.013835889287292957,
-0.03386300802230835,
0.034731291234493256,
-0.018771884962916374,
0.03873293846845627,
-0.025595450773835182,
0.0035415533930063248,
-0.023537999019026756,
0.008508222177624702,
0.04088477045297623,
-0.021952440962195396,
-0.010032434947788715,
-0.04628321900963783,
0.01646905019879341,
0.029313964769244194,
0.01785641349852085,
0.00887157954275608,
0.06534767895936966,
0.024047642946243286,
-0.03131479024887085,
0.016582302749156952,
0.020159248262643814,
-0.03837430104613304,
-0.00706423120573163,
-0.034334901720285416,
-0.01774315908551216,
-0.033542122691869736,
0.041526541113853455,
0.0008370193536393344,
0.003532115602865815,
0.008829109370708466,
-0.01283547654747963,
0.0304653812199831,
-0.004987903870642185,
-0.02521793730556965,
0.06897181272506714,
0.0006582901114597917,
0.00045242696069180965,
-0.00909808836877346,
0.024519536644220352,
-0.011363171972334385,
0.017469462007284164,
0.004468822386115789,
0.011457550339400768,
-0.020480135455727577,
0.0371285043656826,
-0.0029115770012140274,
-0.0552680529654026,
-0.03888394311070442,
-0.004865211900323629,
0.003175836754962802,
0.029521597549319267,
-0.016138724982738495,
-0.002784166019409895,
0.028162546455860138,
0.0021836827509105206,
0.016648368909955025,
-0.0063752681016922,
0.013807575218379498,
-0.019168274477124214,
0.038695186376571655,
0.025482196360826492,
0.06734850257635117,
-0.043565116822719574,
-0.019706232473254204,
0.07459677010774612,
-0.02759627439081669,
0.0020645298063755035,
-0.03616584464907646,
-0.0010417028097435832,
-0.054135512560606,
-0.0019583539105951786,
0.006464927922934294,
-0.011580242775380611,
0.03254171088337898,
-0.014024646021425724,
-0.022650841623544693,
0.019970491528511047,
-0.00865922775119543,
-0.014817425981163979,
0.040620509535074234,
-0.018800199031829834,
-0.006181792356073856,
0.010532641783356667,
-0.009201904758810997,
0.04594345763325691,
0.04851055145263672,
0.05447527393698692,
0.05020936578512192,
-0.07455901801586151,
-0.005983597133308649,
-0.04160204529762268,
0.05406000837683678,
-0.024727169424295425,
0.008116551674902439,
0.04945433884859085,
-0.04465990886092186,
0.005856186151504517,
-0.0071822041645646095,
-0.008645071648061275,
0.004254111088812351,
0.00597887858748436,
0.008428000845015049,
-0.013779262080788612,
0.029974613338708878,
-0.05466403067111969,
-0.027803907170891762,
0.045641444623470306,
0.014694733545184135,
-0.02499142847955227,
-0.015176063403487206,
0.03284372016787529,
0.04424464330077171,
-0.02453841082751751,
-0.01342062372714281,
0.03052200935781002,
0.01839437149465084,
0.045339435338974,
-0.0504358746111393,
0.04809528589248657,
-0.002446762751787901,
-0.016940942034125328,
-0.005341823678463697,
-0.00008759504999034107,
-0.001375566702336073,
-0.024632791057229042,
0.022254452109336853,
0.013515002094209194,
0.04662298038601875,
0.03860080987215042,
0.03178668022155762,
-0.02312273345887661,
0.036883119493722916,
-0.013411185704171658,
0.0047425199300050735,
0.01816786266863346,
0.007781507913023233,
-0.01011737622320652,
-0.03108827956020832,
-0.016421860083937645,
0.004112543538212776,
-0.007823978550732136,
-0.03922370821237564,
0.0003220666549168527,
-0.02459503896534443,
-0.039487965404987335,
-0.04009198769927025,
-0.035637322813272476,
-0.029804732650518417,
0.006502679083496332,
0.02136729471385479,
-0.0073709613643586636,
0.004004008136689663,
-0.01995161548256874,
0.018668068572878838,
-0.0018215051386505365,
-0.01412846241146326,
0.026256101205945015,
-0.019262652844190598,
0.018460435792803764,
-0.019319280982017517,
-0.03271159157156944,
-0.008045767433941364,
-0.013552753254771233,
-0.022405456751585007,
0.0104854516685009,
0.016025470569729805,
-0.00736152334138751,
0.03714738041162491,
-0.001419216743670404,
0.04205506294965744,
0.01404352206736803,
-0.008121270686388016,
0.02759627439081669,
-0.029295088723301888,
0.05726887658238411,
-0.03888394311070442,
-0.0008010375895537436,
0.009650202468037605,
0.0006370549090206623,
-0.01651623845100403,
-0.012542903423309326,
-0.016535114496946335,
-0.03459915891289711,
0.026897873729467392,
0.015468637458980083,
-0.015506388619542122,
0.02080102264881134,
-0.00617707334458828,
-0.01627085544168949,
0.02684124745428562,
0.032862596213817596,
0.005955283530056477,
-0.009853116236627102,
-0.059722717851400375,
-0.026860123500227928,
0.035580698400735855,
0.015091123059391975,
0.006715030875056982,
-0.00044003978837281466,
-0.005601364187896252,
0.0487370602786541,
-0.029804732650518417,
-0.041979558765888214,
0.008059924468398094,
0.010589268058538437,
0.02193356491625309,
-0.05787289887666702,
-0.025350067764520645,
-0.01572345942258835,
-0.0010163385886698961,
-0.007710724137723446,
-0.044282395392656326,
0.026727993041276932,
0.026029592379927635,
0.02655811235308647,
-0.019989367574453354,
0.03261721134185791,
-0.025123558938503265,
-0.024783795699477196,
0.028634438291192055,
-0.034334901720285416,
0.0029375310987234116,
-0.034448154270648956,
0.027407517656683922,
-0.043565116822719574,
-0.024632791057229042,
0.0022639043163508177,
-0.00948032084852457,
-0.01671443320810795,
0.009343472309410572,
0.05232344567775726,
-0.005219131242483854,
0.014298344030976295,
0.0076682535000145435,
-0.019121086224913597,
-0.004744879435747862,
-0.01252402737736702,
0.015327069908380508,
0.010966782458126545,
-0.024746043607592583,
0.017648780718445778,
-0.025406694039702415,
-0.022990604862570763,
0.047227006405591965,
0.015676269307732582,
0.02589746192097664,
0.04133778437972069,
0.0071397339925169945,
-0.022480960935354233,
0.04601895809173584,
0.006875474005937576,
0.012986482121050358,
0.004110184032469988,
0.00878663919866085,
0.015515826642513275,
-0.01671443320810795,
-0.05862792953848839,
-0.013043109327554703,
-0.01842268370091915,
0.05455077812075615,
0.016620054841041565,
-0.018941765651106834,
0.012429649010300636,
-0.025255687534809113,
-0.011410361155867577,
0.020499011501669884,
0.017960229888558388,
-0.02718101069331169,
0.02012149803340435,
-0.037109628319740295,
0.02006486989557743,
0.04730250686407089,
0.03129591420292854,
0.022631965577602386,
-0.005153066478669643,
-0.01435497123748064,
-0.01995161548256874,
-0.004893525503575802,
-0.03167342767119408,
-0.0160065945237875,
-0.04741576313972473,
0.008267557248473167,
0.005181380081921816,
-0.0005568331689573824,
-0.03233407810330391,
0.028332427144050598,
0.010419387370347977,
-0.0328814722597599,
0.005587207619100809,
-0.0263504795730114,
0.01563851907849312,
0.02334924228489399,
-0.027558524161577225,
-0.0325794592499733,
0.011835064738988876,
-0.028219172731041908,
0.014203965663909912,
-0.011750124394893646,
0.02769065462052822,
-0.0012092245742678642,
-0.01483630109578371,
-0.02397214062511921,
-0.020706644281744957,
-0.015496950596570969,
0.04515067860484123,
-0.04783102869987488,
-0.018828511238098145,
-0.04012973979115486,
0.02068776823580265,
0.015043933875858784,
-0.014807987958192825,
-0.04330085963010788,
0.03278709203004837,
0.04583020135760307,
-0.020027119666337967,
0.0007113780011422932,
0.0003751545737031847,
0.012797725386917591,
-0.002216715132817626,
0.03576945513486862,
-0.02000824362039566,
-0.0006435434333980083,
-0.013005358166992664,
-0.022009067237377167,
-0.012873228639364243,
0.01545919943600893,
-0.017809223383665085,
-0.04390488192439079,
0.009673796594142914,
-0.03865743800997734,
-0.021178536117076874,
0.02153717540204525,
-0.038695186376571655,
-0.023821134120225906,
0.052210189402103424,
0.023821134120225906,
-0.005931688938289881,
0.03941246494650841,
0.004277705680578947,
-0.08758325129747391,
0.02357575111091137,
-0.006337516941130161,
0.04526393115520477,
0.013760386034846306,
0.021556051447987556,
0.044169142842292786,
0.009541667066514492,
-0.028804320842027664,
-0.008918768726289272,
-0.035354189574718475,
0.0007626963197253644,
-0.04571694880723953,
0.004185686819255352,
-0.008385530672967434,
0.0006653684540651739,
-0.03794015944004059,
-0.02402876690030098,
0.003914348781108856,
-0.017139136791229248,
-0.011240480467677116,
0.010192878544330597,
-0.02669024094939232,
0.028332427144050598
] |
Machine Learning-as-a-Service systems (MLaaS) have been largely developed for
cybersecurity-critical applications, such as detecting network intrusions and
fake news campaigns. Despite effectiveness, their robustness against
adversarial attacks is one of the key trust concerns for MLaaS deployment. We
are thus motivated to assess the adversarial robustness of the Machine Learning
models residing at the core of these security-critical applications with
categorical inputs. Previous research efforts on accessing model robustness
against manipulation of categorical inputs are specific to use cases and
heavily depend on domain knowledge, or require white-box access to the target
ML model. Such limitations prevent the robustness assessment from being as a
domain-agnostic service provided to various real-world applications. We propose
a provably optimal yet computationally highly efficient adversarial robustness
assessment protocol for a wide band of ML-driven cybersecurity-critical
applications. We demonstrate the use of the domain-agnostic robustness
assessment method with substantial experimental study on fake news detection
and intrusion detection problems. | [
-0.035593897104263306,
-0.04172071814537048,
-0.0223191250115633,
-0.0369979627430439,
0.07855457067489624,
0.02468962036073208,
-0.049233365803956985,
0.02215501479804516,
-0.021261518821120262,
0.04325242340564728,
-0.019456295296549797,
-0.05499549210071564,
0.0060174111276865005,
-0.053901415318250656,
-0.03873024508357048,
-0.007840869016945362,
-0.013976804912090302,
-0.04937924072146416,
0.04689933732151985,
-0.025036077946424484,
-0.0009362316923215985,
-0.03583094850182533,
-0.008811860345304012,
0.009564036503434181,
0.015526744537055492,
0.046279363334178925,
0.005433904472738504,
-0.01758725196123123,
-0.0416477806866169,
0.04051723703742027,
0.03366103395819664,
0.016210541129112244,
-0.04711815342307091,
-0.008852887898683548,
0.007125162053853273,
-0.03592212125658989,
0.004152925219386816,
0.06334692984819412,
-0.029047684744000435,
0.04172071814537048,
-0.014469138346612453,
-0.014423551969230175,
-0.0308529082685709,
0.003911317326128483,
0.014441787265241146,
-0.038000863045454025,
-0.035448022186756134,
-0.01355740986764431,
-0.010375475510954857,
0.026130152866244316,
-0.007717785891145468,
-0.02592957206070423,
0.023577310144901276,
-0.03262166306376457,
-0.009203904308378696,
0.014140916056931019,
0.05663660168647766,
-0.021662680432200432,
0.05258852615952492,
-0.023012038320302963,
0.004800253082066774,
0.0014758612960577011,
0.039058469235897064,
0.014222972095012665,
0.006924581713974476,
-0.005566105246543884,
0.03916787728667259,
0.014496490359306335,
0.0020023847464472055,
0.00480481144040823,
-0.09518450498580933,
0.003400749061256647,
-0.0040366798639297485,
-0.054703738540410995,
-0.006769587751477957,
0.036104466766119,
0.053099095821380615,
-0.002117490628734231,
-0.011104858480393887,
-0.02416081726551056,
0.018799850717186928,
0.031837575137615204,
0.030397044494748116,
0.01697639375925064,
0.061487000435590744,
-0.007562791928648949,
-0.02337673120200634,
-0.08066977560520172,
-0.015891436487436295,
-0.02591133676469326,
-0.03588565066456795,
0.03110819309949875,
0.013229187577962875,
-0.029284734278917313,
-0.00014844087127130479,
0.02257440984249115,
-0.025181954726576805,
-0.028227128088474274,
-0.058569468557834625,
-0.0017414023168385029,
0.005465815309435129,
0.009372573345899582,
0.024671385064721107,
0.040407828986644745,
-0.02188149467110634,
-0.010703697800636292,
-0.05652719736099243,
0.044820595532655716,
0.017559899017214775,
0.18219991028308868,
0.003603608813136816,
0.02244676649570465,
0.012536273337900639,
0.05740245431661606,
-0.048029880970716476,
0.003829261753708124,
-0.06786910444498062,
-0.08336849510669708,
-0.015563213266432285,
0.012627446092665195,
-0.015891436487436295,
0.04343476891517639,
0.04124661907553673,
-0.015727324411273003,
-0.050145093351602554,
0.06050233542919159,
0.022009138017892838,
0.024379633367061615,
0.018781617283821106,
0.011341908015310764,
-0.009828438051044941,
0.00877539161592722,
0.022647347301244736,
-0.07957570254802704,
0.016192305833101273,
0.02536430023610592,
0.05598015710711479,
0.016310831531882286,
0.002659969264641404,
-0.010439296253025532,
0.01951099932193756,
0.017049331218004227,
-0.02031332068145275,
0.05929885059595108,
-0.024343162775039673,
-0.010658111423254013,
0.029704129323363304,
0.04248657077550888,
-0.013429767452180386,
0.041356027126312256,
-0.051348574459552765,
0.05459433048963547,
0.042413633316755295,
0.014396199956536293,
0.07268303632736206,
0.00921757984906435,
0.027552450075745583,
-0.026403671130537987,
0.024525508284568787,
-0.01095898263156414,
0.046571116894483566,
-0.060976434499025345,
0.031162895262241364,
0.0059171211905777454,
0.02282969281077385,
0.05247911810874939,
0.026221325621008873,
-0.006163287907838821,
-0.04303360730409622,
0.058314185589551926,
0.04314301535487175,
-0.02297556959092617,
-0.01883632130920887,
0.008693335577845573,
0.024890201166272163,
0.056563664227724075,
0.0053700837306678295,
0.00534729054197669,
0.01883632130920887,
0.010402827523648739,
-0.06053880229592323,
-0.014915886335074902,
0.01577291078865528,
-0.004016166087239981,
0.000028117578040109947,
0.025437237694859505,
0.05233324319124222,
-0.024926669895648956,
0.004143808037042618,
0.023449668660759926,
-0.0017607766203582287,
0.002796728629618883,
0.0026576898526400328,
-0.041465435177087784,
-0.007622054312378168,
-0.045331165194511414,
-0.022465001791715622,
0.03072526678442955,
0.010803988203406334,
-0.027315400540828705,
0.00517862057313323,
-0.0529167503118515,
0.028373004868626595,
-0.034262776374816895,
0.017331967130303383,
0.016648171469569206,
0.061888162046670914,
0.006897229701280594,
-0.026914238929748535,
-0.02098800055682659,
-0.028938276693224907,
-0.00848819687962532,
-0.0075263227336108685,
-0.011943649500608444,
0.005379200913012028,
-0.02122505009174347,
-0.001665045041590929,
-0.04303360730409622,
-0.056016627699136734,
0.013712403364479542,
0.023267323151230812,
0.05466726794838905,
0.03032410517334938,
-0.01670287549495697,
-0.047336969524621964,
-0.032785773277282715,
0.021972667425870895,
0.01463324949145317,
-0.011150444857776165,
0.05258852615952492,
-0.03683384880423546,
-0.025874868035316467,
0.021188581362366676,
-0.020404493436217308,
0.05649072676897049,
-0.02481726184487343,
0.01577291078865528,
-0.061778753995895386,
-0.05525077506899834,
-0.005898886360228062,
-0.02740657329559326,
0.013201835565268993,
-0.027552450075745583,
-0.07899219542741776,
0.05860593914985657,
-0.01374887302517891,
-0.044528841972351074,
0.04474765807390213,
-0.0024593889247626066,
0.02926649898290634,
-0.06287282705307007,
0.004173439461737871,
-0.005702864844352007,
-0.000971561181358993,
-0.04445590451359749,
-0.04237716272473335,
0.020787419751286507,
-0.034919220954179764,
0.024653151631355286,
-0.049889810383319855,
0.0842437595129013,
0.011916297487914562,
0.03070703148841858,
0.02966766059398651,
-0.01951099932193756,
-0.031582292169332504,
0.037326183170080185,
-0.00531082134693861,
-0.005265234969556332,
0.01883632130920887,
0.009281400591135025,
0.0038611721247434616,
-0.07614760100841522,
0.00788645539432764,
-0.025564881041646004,
0.014660601504147053,
0.015508510172367096,
0.006883553694933653,
0.010120191611349583,
0.016082899644970894,
-0.02377789095044136,
-0.010758401826024055,
0.0443829670548439,
-0.013657700270414352,
0.026221325621008873,
-0.03214756399393082,
-0.04168424755334854,
0.006423130631446838,
-0.08913062512874603,
0.021462099626660347,
-0.04544057324528694,
-0.000844488968141377,
-0.02392376773059368,
-0.01583673246204853,
0.022647347301244736,
0.01021136436611414,
0.01515293586999178,
-0.018508097156882286,
0.014113564044237137,
0.012627446092665195,
-0.07133367657661438,
-0.006569007411599159,
0.028154190629720688,
0.061523471027612686,
-0.02388729900121689,
0.009646092541515827,
-0.039605505764484406,
0.03942316025495529,
0.0456593856215477,
-0.02430669404566288,
0.029594723135232925,
0.003717574756592512,
-0.040553703904151917,
-0.007421473972499371,
-0.046935807913541794,
0.02098800055682659,
-0.013375064358115196,
-0.04595113918185234,
0.02312144637107849,
-0.008875681087374687,
0.004209908656775951,
0.024871965870261192,
-0.10298890620470047,
0.009901376441121101,
-0.04937924072146416,
-0.029722364619374275,
-0.024251990020275116,
0.03034234046936035,
-0.06440453231334686,
-0.021535038948059082,
-0.05010862275958061,
0.005114799365401268,
-0.03643269091844559,
-0.011943649500608444,
-0.03792792558670044,
-0.008483638055622578,
-0.03409866243600845,
0.07935688644647598,
-0.005844182800501585,
-0.031874045729637146,
-0.0007020313059911132,
-0.03858437016606331,
-0.028081251308321953,
0.03417159989476204,
-0.011177796870470047,
-0.011177796870470047,
-0.05233324319124222,
-0.004241819027811289,
-0.036779146641492844,
0.015955256298184395,
0.00110319210216403,
-0.011852476745843887,
0.01195276714861393,
-0.03378867730498314,
0.0006501767202280462,
0.0016069222474470735,
0.00960962288081646,
-0.0008570252102799714,
-0.03034234046936035,
0.013530057854950428,
0.040954865515232086,
-0.04835810512304306,
-0.06604564934968948,
0.01542645413428545,
-0.02952178381383419,
0.003722133580595255,
-0.00206734542734921,
-0.004248656798154116,
-0.01463324949145317,
-0.019456295296549797,
-0.0230849776417017,
0.016848750412464142,
0.013165365904569626,
0.018872790038585663,
-0.04084545746445656,
-0.022392062470316887,
0.01777871511876583,
-0.005857858806848526,
-0.04471118748188019,
0.04715462028980255,
-0.013138014823198318,
0.0032161239068955183,
-0.03169170022010803,
-0.02576545998454094,
-0.019292185083031654,
0.0041483668610453606,
0.05459433048963547,
-0.003829261753708124,
-0.04230422526597977,
0.050947412848472595,
0.01290096528828144,
0.015462922863662243,
-0.007895573042333126,
-0.0496709942817688,
0.0028856222052127123,
-0.023869063705205917,
0.012727736495435238,
-0.0031500235199928284,
0.014642367139458656,
-0.05463080108165741,
-0.02375965751707554,
0.02549194172024727,
0.026494843885302544,
0.03245755285024643,
0.024470806121826172,
-0.012089526280760765,
0.019656876102089882,
-0.02912062406539917,
0.013739755377173424,
-0.0020605074241757393,
-0.019693344831466675,
-0.05645425617694855,
0.004786577075719833,
0.005949031561613083,
-0.0016388328513130546,
0.040261950343847275,
-0.04172071814537048,
-0.023303791880607605,
-0.01421385444700718,
-0.015253225341439247,
-0.00030542921740561724,
-0.03628681227564812,
0.060319989919662476,
-0.02726069651544094,
-0.0201856791973114,
0.0201856791973114,
-0.011852476745843887,
0.024106113240122795,
0.004084545653313398,
-0.037854988127946854,
0.050035685300827026,
0.010029018856585026,
-0.006496069021522999,
-0.04350770637392998,
-0.01588231883943081,
0.027023646980524063,
0.00851099006831646,
-0.013785341754555702,
-0.0010878066532313824,
-0.017705775797367096,
-0.01282802689820528,
0.00989225972443819,
0.002557399682700634,
0.046425238251686096,
-0.055761344730854034,
-0.033332809805870056,
0.014833830296993256,
-0.029558252543210983,
-0.024525508284568787,
-0.016967276111245155,
-0.06728559732437134,
0.012253637425601482,
-0.07053135335445404,
-0.009472863748669624,
0.006819732487201691,
-0.022355593740940094,
0.026750128716230392,
-0.035867419093847275,
0.024087879806756973,
-0.019055135548114777,
0.001467883586883545,
0.07457943260669708,
0.014988823793828487,
0.0022861603647470474,
-0.0009818181861191988,
0.047227561473846436,
-0.06918199360370636,
-0.03457276150584221,
0.00894406158477068,
0.0042965225875377655,
-0.019146308302879333,
-0.021845025941729546,
0.031855810433626175,
-0.015025293454527855,
0.03792792558670044,
0.004501661751419306,
-0.022738520056009293,
-0.04529469460248947,
-0.0007293831440620124,
-0.042924199253320694,
0.004519896116107702,
0.02789890579879284,
-0.072464220225811,
-0.019273949787020683,
0.030488217249512672,
-0.04153837263584137,
-0.026111917570233345,
-0.021845025941729546,
-0.05284380912780762,
-0.08066977560520172,
-0.025583114475011826,
-0.025017842650413513,
0.042814791202545166,
-0.042559508234262466,
-0.00540655292570591,
0.010594290681183338,
-0.007891014218330383,
-0.0020365745294839144,
0.05732951685786247,
-0.0163017138838768,
-0.00894406158477068,
-0.017605487257242203,
0.001070711761713028,
-0.01712227053940296,
0.015198522247374058,
-0.012499803677201271,
0.023030273616313934,
0.03098054975271225,
0.04700874537229538,
0.06462334841489792,
-0.042012471705675125,
0.024142583832144737,
0.0050965650007128716,
-0.030014118179678917,
0.043070077896118164,
0.035320378839969635,
0.03883965313434601,
-0.02629426307976246,
0.015791146084666252,
0.012025704607367516,
0.023832594975829124,
-0.02417905256152153,
-0.016994627192616463,
0.02348613739013672,
0.011414846405386925,
0.059663545340299606,
0.07884632050991058,
-0.0036332400050014257,
-0.04372652247548103,
-0.0727194994688034,
-0.016821399331092834,
0.030761735513806343,
-0.03858437016606331,
-0.018024882301688194,
0.044784124940633774,
-0.006486951373517513,
0.0014986544847488403,
0.0030497333500534296,
-0.03431747853755951,
-0.0049142190255224705,
-0.0308529082685709,
0.03495568782091141,
0.0009390808409079909,
-0.009691678918898106,
-0.01811605505645275,
0.07337594777345657,
0.003466849448159337,
-0.04576879367232323,
0.01094074733555317,
0.009591388516128063,
0.03351515531539917,
-0.012964786030352116,
-0.004809370264410973,
-0.022355593740940094,
-0.016402004286646843,
-0.0004923336673527956,
-0.01921924576163292,
0.02016744390130043,
-0.014414435252547264,
-0.021990902721881866,
-0.013675934635102749,
0.01909160427749157,
-0.013311242684721947,
0.0049552470445632935,
-0.0061131427064538,
-0.043325360864400864,
-0.004054914694279432,
0.04792047291994095,
0.03517450392246246,
0.01761460304260254,
-0.019875692203640938,
-0.029157092794775963,
0.011925415135920048,
-0.00322524132207036,
-0.013128897175192833,
0.023340260609984398,
-0.004631583113223314,
-0.03803733363747597,
0.03418983519077301,
-0.009016999043524265,
0.006081232335418463,
-0.015544978901743889,
0.008816419169306755,
0.04372652247548103,
0.033588096499443054,
0.03431747853755951,
0.0017653352115303278,
-0.0030132641550153494,
0.000660433666780591,
-0.0230849776417017,
0.0027670974377542734,
0.045075878500938416,
-0.055214304476976395,
0.010056370869278908,
-0.016146719455718994,
0.0032662691082805395,
0.023686718195676804,
-0.025400768965482712,
0.034919220954179764,
0.026221325621008873,
0.010922512970864773,
-0.008351437747478485,
0.021662680432200432,
0.0371256023645401,
-0.011533371172845364,
-0.012518038973212242,
0.016666404902935028,
0.03898553177714348,
0.012736853212118149,
-0.004059473052620888,
0.005128475371748209,
-0.02685953490436077,
0.04449237510561943,
-0.02633073180913925,
-0.001094644539989531,
-0.0019066531676799059,
0.04959805682301521,
-0.01790635660290718,
-0.029467079788446426,
0.021188581362366676,
0.03643269091844559,
0.006655621342360973,
0.004791135899722576,
0.03645092248916626,
0.013694168999791145,
0.03178287297487259,
-0.010293420404195786,
-0.025674287229776382,
0.024525508284568787,
-0.0030155435670167208,
-0.06228932365775108,
0.0015009337803348899,
-0.03315046429634094,
-0.018316633999347687,
-0.03114466182887554,
0.0032845037057995796,
0.025601349771022797,
0.021443866193294525,
-0.036396220326423645,
0.02870122715830803,
0.009983432479202747,
0.01978451944887638,
-0.02430669404566288,
0.07261009514331818,
-0.02468962036073208,
0.012654798105359077,
-0.008410699665546417,
-0.04901454970240593,
0.05371906980872154,
0.04285126179456711,
-0.03087114356458187,
0.022902632132172585,
0.007234569173306227,
0.031217599287629128,
0.022209716960787773,
-0.008050566539168358,
-0.00018334299966227263,
0.019128073006868362,
-0.019839221611618996,
-0.022209716960787773,
0.030415277928113937,
-0.029011216014623642,
0.011378377676010132,
0.01575467735528946,
0.016356417909264565,
-0.026531312614679337,
0.0010576056083664298,
0.03989725932478905,
-0.015070879831910133,
0.07738755643367767,
-0.006860760506242514,
-0.014396199956536293,
-0.031472884118556976,
0.013201835565268993,
0.0014826991828158498,
-0.014323262497782707,
-0.005670954007655382,
0.0018565080827102065,
0.014177385717630386,
-0.027807733044028282,
-0.011852476745843887,
0.004923336207866669,
-0.0025254893116652966,
0.0230849776417017,
-0.06363867968320847,
-0.008123504929244518,
0.011907179839909077,
0.07118779420852661,
0.011806890368461609,
-0.026896003633737564,
-0.016520528122782707,
-0.0124177485704422,
-0.01355740986764431,
-0.0028582701925188303,
0.009336104616522789,
-0.015581447631120682,
0.003416704246774316,
-0.021024469286203384,
0.010831340216100216,
-0.025473706424236298,
-0.030615858733654022,
-0.006395778618752956,
-0.05105682089924812,
0.029193561524152756,
-0.02031332068145275,
0.019729815423488617,
0.030087055638432503,
0.018571918830275536,
0.011305439285933971,
0.0076813166961073875,
-0.01634730026125908,
0.043215952813625336,
0.014241206459701061,
0.04168424755334854,
0.07027606666088104,
0.03404396027326584,
0.011779538355767727,
0.03741735592484474,
-0.004073149058967829,
0.05889769271016121,
0.06892670691013336,
0.010658111423254013,
0.03201992064714432,
-0.040808986872434616,
-0.05207796022295952,
-0.023267323151230812,
-0.002495858119800687,
-0.024270225316286087,
-0.042267754673957825,
0.00011880967940669507,
0.06075761839747429,
-0.014514724723994732,
-0.02684130147099495,
0.01714962162077427,
0.012116878293454647,
-0.036815617233514786,
0.03181933984160423,
0.037326183170080185,
0.006632828153669834,
0.01991216093301773,
0.02740657329559326,
-0.06666561961174011,
0.01655699871480465,
-0.07541821897029877,
0.04511234909296036,
0.00026012767921201885,
-0.02644013985991478,
-0.030397044494748116,
-0.0022177807986736298,
0.06141406297683716,
0.017851652577519417,
-0.012144229374825954,
0.05120269954204559,
-0.04631583020091057,
-0.05864240601658821,
0.012736853212118149,
0.0456593856215477,
0.04445590451359749,
-0.01869044452905655,
0.03650562837719917,
-0.027333633974194527,
0.04649817571043968,
-0.024069644510746002,
-0.0329863540828228,
0.07173483818769455,
-0.04390886798501015,
-0.013995039276778698,
-0.03887612372636795,
0.026494843885302544,
-0.006322840228676796,
0.029084153473377228,
0.03650562837719917,
0.05346378684043884,
-0.0491604246199131,
-0.008109829388558865,
0.0005310820997692645,
0.046534646302461624,
-0.025674287229776382,
-0.004959805402904749,
0.02299380488693714,
-0.01088604424148798,
-0.0015601961640641093,
-0.015791146084666252,
0.03309576213359833,
-0.040261950343847275,
0.02804478257894516,
0.002255389466881752,
-0.01710403524339199,
-0.033041056245565414,
0.01771489344537258,
-0.0013698728289455175,
-0.022774988785386086,
-0.006801498122513294,
-0.015636151656508446,
0.04835810512304306,
0.007603819482028484,
-0.009791969321668148,
0.04015254229307175,
-0.004549527540802956,
-0.03539332002401352,
0.046571116894483566,
-0.005292586516588926,
0.01154248882085085,
-0.006961050443351269,
-0.03967844322323799,
-0.040553703904151917,
-0.0248354971408844,
0.006651062984019518,
-0.017477843910455704,
0.0007282434962689877,
0.05572487413883209,
0.013165365904569626,
-0.022811459377408028,
0.06549860537052155,
-0.03043351322412491,
-0.012736853212118149,
0.003703898983076215,
-0.0069792852737009525,
-0.014870299026370049,
-0.023449668660759926,
-0.012645680457353592,
-0.037453826516866684,
-0.00420762924477458,
0.004164322279393673,
-0.004882308654487133,
0.03710736706852913,
0.03982432186603546,
0.022465001791715622,
0.015736442059278488,
-0.012527155689895153,
-0.029704129323363304,
0.016128486022353172,
-0.019839221611618996,
0.041465435177087784,
-0.04460177943110466,
0.008624956011772156,
0.032384611666202545,
0.021863261237740517,
-0.0038064683321863413,
0.0008245448698289692,
-0.016456708312034607,
-0.010193130001425743,
0.018234578892588615,
-0.030087055638432503,
-0.0025824722833931446,
0.0043101985938847065,
0.00510568218305707,
-0.014122681692242622,
-0.010101957246661186,
-0.007448825519531965,
-0.011250735260546207,
0.05539665371179581,
0.014423551969230175,
0.01187982875853777,
-0.032658129930496216,
-0.02312144637107849,
-0.014615015126764774,
0.00974638294428587,
0.005921679548919201,
-0.002377333352342248,
-0.019656876102089882,
0.017523430287837982,
0.006701207719743252,
0.02003980241715908,
0.02348613739013672,
0.017851652577519417,
0.021006235852837563,
-0.050290968269109726,
0.0035033186431974173,
-0.041064273566007614,
0.005288028158247471,
0.0010883765062317252,
-0.028628289699554443,
0.061122309416532516,
0.012964786030352116,
-0.00302010215818882,
0.02684130147099495,
-0.0026440140791237354,
-0.00411189766600728,
-0.006496069021522999,
0.013046841137111187,
0.012335692532360554,
0.08409787714481354,
-0.04423708841204643,
0.0000446248595835641,
-0.020003333687782288,
0.00023534003412351012,
0.03721677511930466,
0.020094506442546844,
-0.01883632130920887,
-0.0026850418653339148,
0.04861338809132576,
-0.007503529544919729,
0.023303791880607605,
0.024379633367061615,
0.02390553429722786,
-0.006651062984019518,
-0.011515136808156967,
-0.029211796820163727,
-0.007804399821907282,
0.004335271194577217,
-0.03072526678442955,
-0.027844201773405075,
0.009117289446294308,
0.03322340175509453,
0.04638877138495445,
0.007289273198693991,
0.0018485304899513721,
0.04926983267068863,
-0.009591388516128063,
-0.03380690887570381,
-0.07089604437351227,
-0.022811459377408028,
0.027315400540828705,
-0.007863662205636501,
0.048686325550079346,
0.011506019160151482,
-0.013612113893032074,
0.010120191611349583,
0.017915474250912666,
0.02950354851782322,
0.02403317578136921,
-0.018891023471951485,
0.028664758428931236,
-0.019985098391771317,
0.02379612624645233,
-0.02563781850039959,
-0.014031508937478065,
-0.01767842471599579,
0.010065487585961819,
-0.03406219556927681,
0.019273949787020683,
-0.00714339641854167,
0.014295910485088825,
0.0019191894680261612,
0.024762557819485664,
-0.009773734956979752,
0.02485373243689537,
-0.013229187577962875,
-0.01734108477830887,
0.002792170038446784,
0.009782851673662663,
0.029430611059069633,
0.0025437239091843367,
0.013247421942651272,
-0.026348967105150223,
0.021571507677435875,
-0.016921689733862877,
-0.013694168999791145,
0.020349791273474693,
-0.04208540916442871,
0.01314713153988123,
0.04730049893260002,
0.0014507886953651905,
-0.04700874537229538,
0.0322205014526844,
-0.028719462454319,
-0.00987402442842722,
-0.020130975171923637,
0.03563036769628525,
-0.006122259888797998,
0.007845427840948105,
-0.026257794350385666,
-0.015116466209292412,
-0.06210697814822197,
-0.005087447818368673,
-0.018407808616757393,
-0.047884006053209305,
-0.02179032191634178,
0.021571507677435875,
0.0034372182562947273,
-0.009185669012367725,
-0.005698306020349264,
0.04157483950257301,
0.060028236359357834,
-0.00800498016178608,
-0.00757646793499589,
-0.03696149215102196,
-0.010758401826024055,
0.03156405687332153,
0.03688855469226837,
-0.002124328399077058,
-0.010311654768884182,
0.01962040737271309,
0.010922512970864773,
-0.0419030636548996,
0.041866593062877655,
0.003788233967497945,
-0.06535273045301437,
0.003608167404308915,
-0.006418571807444096,
0.0009037513518705964,
-0.0022439928725361824,
-0.011405729688704014,
-0.057511862367391586,
-0.02656778134405613,
-0.008770832791924477,
-0.032913416624069214,
-0.016456708312034607,
0.000023950691684149206,
0.011232500895857811,
0.009500215761363506,
-0.027351869270205498,
0.07519940286874771,
0.02268381603062153,
0.005552429240196943,
0.04511234909296036,
0.005894327536225319,
-0.0364873930811882,
-0.04212187975645065,
-0.020258618518710136,
-0.03588565066456795,
-0.001801804406568408,
0.014113564044237137,
0.0029881917871534824,
0.0036628711968660355,
-0.06987490504980087,
0.03404396027326584,
0.025710755959153175,
-0.03353339061141014,
0.010995451360940933,
-0.0329863540828228,
-0.024470806121826172,
-0.023340260609984398
] |
The secondary structure of ribonucleic acid (RNA) is more stable and
accessible in the cell than its tertiary structure, making it essential for
functional prediction. Although deep learning has shown promising results in
this field, current methods suffer from poor generalization and high
complexity. In this work, we present RFold, a simple yet effective RNA
secondary structure prediction in an end-to-end manner. RFold introduces a
decoupled optimization process that decomposes the vanilla constraint
satisfaction problem into row-wise and column-wise optimization, simplifying
the solving process while guaranteeing the validity of the output. Moreover,
RFold adopts attention maps as informative representations instead of designing
hand-crafted features. Extensive experiments demonstrate that RFold achieves
competitive performance and about eight times faster inference efficiency than
the state-of-the-art method. The code and Colab demo are available in
\href{http://github.com/A4Bio/RFold}{http://github.com/A4Bio/RFold}. | [
-0.020324604585766792,
-0.019495029002428055,
-0.019711440429091454,
-0.012128036469221115,
0.03787193447351456,
-0.035383209586143494,
0.002747969701886177,
0.04396751523017883,
-0.04616769403219223,
0.045915212482213974,
-0.018277717754244804,
0.004833180457353592,
0.01658249832689762,
-0.015112705528736115,
-0.033219099044799805,
0.009341743774712086,
0.05788995698094368,
-0.010577090084552765,
-0.05031557008624077,
-0.06311989575624466,
-0.015617664903402328,
-0.05879167094826698,
0.01458069495856762,
0.011091066524386406,
0.030550027266144753,
0.025915224105119705,
0.012001796625554562,
0.0037556334864348173,
-0.08086559921503067,
0.03678987920284271,
0.06333630532026291,
-0.011415683664381504,
0.0012128036469221115,
0.007587912958115339,
-0.04151485487818718,
0.048223596066236496,
0.009170418605208397,
0.0000617109690210782,
-0.02589718997478485,
0.04761043190956116,
-0.003879619063809514,
0.035473380237817764,
-0.002045760862529278,
-0.02589718997478485,
0.03183045983314514,
-0.009206486865878105,
-0.038485098630189896,
0.03466183692216873,
-0.04526598006486893,
-0.003521188162267208,
-0.029467971995472908,
0.02721369080245495,
-0.014102787710726261,
-0.0067583369091153145,
0.007380519062280655,
0.06380519270896912,
0.021893585100769997,
0.03999997675418854,
0.07018931955099106,
0.002224976196885109,
-0.029071219265460968,
-0.004375561140477657,
0.005685298703610897,
-0.05850312486290932,
0.028295746073126793,
0.0007951979059726,
0.040649209171533585,
-0.0118394885212183,
-0.02023443393409252,
0.017123525962233543,
-0.11614060401916504,
-0.009747514501214027,
-0.029089253395795822,
0.02133452333509922,
-0.05064018815755844,
0.020072124898433685,
0.002513524377718568,
0.045085638761520386,
0.04757436364889145,
0.016357069835066795,
0.054860204458236694,
0.01920648105442524,
-0.0699368417263031,
-0.025392230600118637,
0.04789898172020912,
0.026925142854452133,
0.0008154864772222936,
-0.04479708895087242,
0.00946798361837864,
0.00024994349223561585,
-0.059116289019584656,
0.0743732675909996,
0.03195669874548912,
-0.008868345059454441,
0.011091066524386406,
-0.05139762535691261,
0.019585201516747475,
-0.0010307703632861376,
-0.03177635744214058,
0.015770956873893738,
-0.00002240192588942591,
0.024364277720451355,
0.001022880431264639,
0.05320105329155922,
-0.004670871887356043,
-0.040432799607515335,
-0.004483766853809357,
0.0127231664955616,
0.008146974258124828,
0.08815144002437592,
-0.01165914535522461,
-0.013751119375228882,
0.028043266385793686,
0.014039667323231697,
-0.02827771194279194,
-0.020378708839416504,
-0.06885478645563126,
-0.018061306327581406,
0.006816948298364878,
-0.029413869604468346,
0.0460234172642231,
0.04057707265019417,
-0.0276645477861166,
-0.003890890395268798,
-0.01042379904538393,
0.036230817437171936,
0.02380521595478058,
-0.032551828771829605,
-0.04086562246084213,
-0.01624886319041252,
-0.007443638518452644,
-0.00667267432436347,
-0.021045975387096405,
-0.0076239812187850475,
0.02315598353743553,
0.03794407099485397,
0.04032459482550621,
-0.019404858350753784,
-0.04310186952352524,
0.00591974426060915,
-0.03329123556613922,
0.018025238066911697,
0.008083854801952839,
0.011722265742719173,
0.033976536244153976,
-0.01673578843474388,
-0.017826860770583153,
0.05417490005493164,
0.023119915276765823,
0.00841748807579279,
-0.1022181585431099,
0.027375999838113785,
0.00998196005821228,
0.02770061604678631,
0.0031311975326389074,
-0.05651935562491417,
-0.008259688504040241,
0.04443640261888504,
0.015834076330065727,
-0.03552748262882233,
0.04519384354352951,
0.013606845401227474,
-0.0032596916425973177,
0.01996392011642456,
-0.03594227135181427,
0.06928760558366776,
0.050568051636219025,
0.0015610902337357402,
-0.06120826303958893,
0.06261493265628815,
-0.0033656428568065166,
0.019675372168421745,
0.0017628484638407826,
-0.01433723233640194,
-0.05550943687558174,
-0.010099182836711407,
0.012064917013049126,
-0.02349863387644291,
0.009251573123037815,
-0.02239854447543621,
-0.03181242570281029,
0.005193865392357111,
-0.002908023539930582,
-0.01633903570473194,
0.038665443658828735,
0.038304757326841354,
0.07776370644569397,
0.07235343009233475,
0.0017752469284459949,
-0.036753810942173004,
-0.0029125320725142956,
0.0007642015698365867,
0.056014396250247955,
0.00747970724478364,
0.009909823536872864,
-0.05900808051228523,
-0.008890887722373009,
0.019368790090084076,
0.026834972202777863,
0.028963012620806694,
-0.07073035091161728,
-0.025482403114438057,
-0.010171319358050823,
0.0455905981361866,
0.02541026473045349,
0.0393868125975132,
0.04039673134684563,
-0.03395850211381912,
0.029630281031131744,
-0.09745711088180542,
-0.009368795901536942,
-0.04620376229286194,
-0.07819653302431107,
-0.016149675473570824,
0.04623983055353165,
-0.006140663754194975,
0.02925156243145466,
-0.044941361993551254,
-0.08360680937767029,
-0.009549138136208057,
-0.021749312058091164,
0.03316499665379524,
0.05864739790558815,
0.005342647898942232,
0.021749312058091164,
0.01965733803808689,
-0.008376911282539368,
-0.03220918029546738,
0.005951303988695145,
0.02672676555812359,
0.0015126231592148542,
-0.04057707265019417,
0.009819651953876019,
-0.003388185752555728,
-0.027375999838113785,
-0.006059509702026844,
0.015085654333233833,
-0.04036066308617592,
-0.030171308666467667,
-0.006375109311193228,
-0.003890890395268798,
0.01447248924523592,
-0.003018483519554138,
-0.04616769403219223,
0.05345353111624718,
-0.005649230442941189,
-0.0050676255486905575,
0.036266885697841644,
0.03540124371647835,
0.029413869604468346,
-0.02045084536075592,
-0.0818755179643631,
0.031848493963479996,
0.023841284215450287,
-0.011668163351714611,
0.0012680335203185678,
0.003467085538432002,
0.012939577922224998,
-0.0303155817091465,
-0.05900808051228523,
0.06412980705499649,
0.024201970547437668,
0.012326412834227085,
0.0340847410261631,
0.055437300354242325,
0.0064066690392792225,
0.04501349851489067,
-0.031091054901480675,
0.03736697509884834,
0.10200174897909164,
0.05633901059627533,
-0.006208292208611965,
-0.03128943219780922,
-0.0072723133489489555,
0.0025518471375107765,
-0.05143369361758232,
0.04385930672287941,
-0.006203783676028252,
0.09017127752304077,
-0.024797100573778152,
-0.016546428203582764,
0.010369696654379368,
0.027033347636461258,
-0.03550944849848747,
0.00007368683873210102,
-0.04710547253489494,
-0.004267355427145958,
-0.010504953563213348,
-0.07812438905239105,
-0.029774554073810577,
0.01871955581009388,
0.00929665844887495,
-0.07769156992435455,
-0.024147868156433105,
-0.0057935044169425964,
0.01529304776340723,
0.012272310443222523,
0.012326412834227085,
0.019314687699079514,
-0.004896300379186869,
-0.022236235439777374,
-0.010207388550043106,
0.04681692644953728,
-0.03514876216650009,
0.004008112940937281,
-0.03859330713748932,
-0.022254271432757378,
0.059945862740278244,
-0.03316499665379524,
0.005495939403772354,
0.04039673134684563,
0.01929665356874466,
-0.023697011172771454,
0.03128943219780922,
0.03632098808884621,
0.003978807479143143,
0.00855274498462677,
-0.025428298860788345,
0.01097384374588728,
-0.022506749257445335,
0.012128036469221115,
-0.006762845441699028,
-0.07076641917228699,
0.007718661334365606,
-0.03125336393713951,
0.02678086794912815,
0.048800695687532425,
-0.00082563073374331,
-0.002820106688886881,
0.039855703711509705,
-0.0030951290391385555,
-0.026546422392129898,
-0.04187554121017456,
0.007150582037866116,
-0.037691593170166016,
-0.00978358369320631,
-0.04916137829422951,
0.03132550045847893,
-0.0027908009942620993,
-0.00016695774684194475,
-0.059693384915590286,
-0.011686197482049465,
0.04865641891956329,
0.004224524367600679,
0.006492331624031067,
0.010234439745545387,
-0.026672663167119026,
0.005825064145028591,
-0.0010335881961509585,
-0.013660947792232037,
0.000831830024253577,
-0.02930566482245922,
0.024147868156433105,
-0.010522987693548203,
0.05536516383290291,
-0.004661854822188616,
-0.010883673094213009,
0.011100083589553833,
-0.022759228944778442,
0.05821457505226135,
-0.02084759809076786,
0.011686197482049465,
-0.06492331624031067,
0.004567175172269344,
-0.10618568956851959,
-0.02398555912077427,
-0.02761044353246689,
0.05612260103225708,
0.01595129817724228,
0.01080251857638359,
-0.02088366635143757,
0.054824136197566986,
-0.0345175638794899,
-0.020703325048089027,
-0.047682568430900574,
-0.009567172266542912,
0.00917492713779211,
-0.00010404919885331765,
0.010504953563213348,
0.01217312179505825,
0.016816942021250725,
0.0007117894710972905,
-0.06560862064361572,
-0.022164098918437958,
-0.008832276798784733,
-0.0056807901710271835,
0.006641114596277475,
0.006271412130445242,
-0.05374208092689514,
0.040649209171533585,
0.02598736062645912,
-0.041586991399526596,
-0.02115418016910553,
-0.05688003823161125,
0.04176733270287514,
-0.018205581232905388,
0.06023441255092621,
0.049774542450904846,
0.023246154189109802,
-0.030297547578811646,
-0.0356176532804966,
0.01850314624607563,
-0.0006407796172425151,
0.026221806183457375,
-0.030351651832461357,
-0.015960315242409706,
0.027953095734119415,
-0.028259677812457085,
0.03455363214015961,
0.052515748888254166,
0.008115414530038834,
-0.047646500170230865,
0.04018032178282738,
-0.0345175638794899,
0.015229928307235241,
0.06214604154229164,
-0.021677173674106598,
-0.019927851855754852,
-0.04093775898218155,
0.03415687754750252,
0.009693412110209465,
-0.0194769948720932,
0.055617641657590866,
0.021280420944094658,
0.01567176729440689,
0.026095567271113396,
-0.005563567858189344,
-0.04360682889819145,
-0.05547336861491203,
-0.05067625641822815,
0.007921546697616577,
0.024111798033118248,
0.004900808911770582,
-0.038268689066171646,
-0.04111810028553009,
-0.03316499665379524,
-0.02097383886575699,
0.003845804836601019,
-0.01862938515841961,
0.013273211196064949,
-0.052551817148923874,
0.008724071085453033,
-0.022957606241106987,
-0.04209195077419281,
-0.01838592253625393,
-0.007376010064035654,
0.014770055189728737,
-0.004526597913354635,
-0.03399457037448883,
-0.03801621124148369,
0.003187554655596614,
0.03967536240816116,
-0.06917940080165863,
-0.019458960741758347,
0.07985568046569824,
0.007123530842363834,
-0.008818750269711018,
0.006803422700613737,
-0.020775461569428444,
-0.0225788876414299,
0.017547329887747765,
0.02863839641213417,
0.03783586621284485,
-0.018124425783753395,
0.008241654373705387,
-0.018521180376410484,
0.023823250085115433,
-0.07357975840568542,
-0.005338139366358519,
0.02173127792775631,
-0.00642921170219779,
0.004413883667439222,
-0.019747508689761162,
0.039062194526195526,
0.02836788259446621,
0.05951303988695145,
0.022452646866440773,
-0.06658247113227844,
-0.03302071988582611,
0.02403966151177883,
0.011433717794716358,
-0.01834985427558422,
0.04613162577152252,
0.005761944223195314,
0.017249764874577522,
-0.028476089239120483,
-0.05630294233560562,
0.007380519062280655,
0.029540110379457474,
-0.02438231185078621,
0.03177635744214058,
-0.005595127586275339,
-0.01734895259141922,
-0.03415687754750252,
0.012308378703892231,
-0.027231724932789803,
-0.003974298946559429,
-0.0007230609189718962,
0.04165912792086601,
-0.01544633973389864,
0.038304757326841354,
-0.02827771194279194,
0.036447230726480484,
0.002662306884303689,
0.0026600526180118322,
0.027321895584464073,
0.06250672787427902,
0.031235329806804657,
-0.03920647129416466,
0.02185751684010029,
0.05157797038555145,
0.053525667637586594,
0.008818750269711018,
-0.04407572001218796,
0.0011327766114845872,
0.017060404643416405,
-0.01801622100174427,
0.017637500539422035,
-0.0063074808567762375,
0.045482389628887177,
0.028385916724801064,
0.003669970901682973,
-0.008692510426044464,
0.05612260103225708,
-0.027339929714798927,
0.03332730382680893,
0.044544611126184464,
-0.059332698583602905,
0.043174006044864655,
0.0036113595124334097,
0.022741194814443588,
0.004670871887356043,
-0.04865641891956329,
0.007583404425531626,
-0.021496832370758057,
-0.01722271367907524,
0.025680778548121452,
0.03271413967013359,
-0.05413883179426193,
-0.02925156243145466,
-0.027772752568125725,
0.03266003727912903,
-0.03161405026912689,
-0.013778170570731163,
-0.03329123556613922,
-0.002061540726572275,
0.03899005800485611,
-0.04476102069020271,
-0.05374208092689514,
0.028656430542469025,
0.028530191630125046,
0.009954908862709999,
-0.031036952510476112,
-0.0019026139052584767,
-0.008376911282539368,
-0.007380519062280655,
-0.031668152660131454,
-0.02602343074977398,
-0.029467971995472908,
-0.0037939564790576696,
-0.002520287176594138,
0.022687092423439026,
-0.009927857667207718,
-0.03642919659614563,
-0.0036406652070581913,
-0.04440033435821533,
0.01609557308256626,
0.010351662524044514,
0.03862937539815903,
-0.0072723133489489555,
0.009341743774712086,
-0.008196569047868252,
-0.009278624318540096,
-0.015933264046907425,
0.000047445588279515505,
-0.001509241759777069,
-0.017908014357089996,
-0.01009016577154398,
0.0015779973473399878,
-0.012651029974222183,
0.04039673134684563,
-0.025879155844449997,
-0.01110910065472126,
-0.009774566628038883,
0.009630291722714901,
-0.037511251866817474,
-0.02492333948612213,
-0.04497743025422096,
0.032912515103816986,
0.0015622173668816686,
-0.0708385556936264,
0.044688884168863297,
-0.04252477362751961,
0.019729474559426308,
-0.02559060789644718,
0.009504052810370922,
-0.005225425586104393,
0.016420189291238785,
-0.0243462435901165,
-0.006979256868362427,
-0.018124425783753395,
0.030261479318141937,
0.02252478525042534,
0.017475193366408348,
-0.041226305067539215,
-0.017114507034420967,
0.04714154079556465,
0.01367898192256689,
0.021226318553090096,
0.06268706917762756,
0.001991658005863428,
0.008620373904705048,
0.026131635531783104,
-0.03992784023284912,
-0.004648329224437475,
0.014147873036563396,
0.043174006044864655,
0.015545527450740337,
-0.004914334509521723,
-0.008065820671617985,
0.024580689147114754,
-0.031091054901480675,
0.05922449380159378,
0.019350755959749222,
0.01303876657038927,
0.05908022075891495,
-0.028890876099467278,
-0.05305677652359009,
-0.018863830715417862,
0.003397202817723155,
-0.016997285187244415,
0.02252478525042534,
-0.059116289019584656,
-0.04458067938685417,
-0.02748420462012291,
0.0008323935908265412,
0.03040575422346592,
0.0030229920521378517,
0.01668168604373932,
-0.019909817725419998,
-0.019188446924090385,
0.01911631040275097,
0.021136146038770676,
0.007249770686030388,
-0.017583398148417473,
-0.014941380359232426,
-0.03480611369013786,
-0.019855715334415436,
0.04090169072151184,
0.03036968596279621,
0.0018947238568216562,
-0.004842197522521019,
0.009093772619962692,
0.03844903036952019,
0.002344453241676092,
-0.04616769403219223,
0.008579797111451626,
-0.0017279071034863591,
-0.052696093916893005,
0.05648328736424446,
0.03549141436815262,
0.0637330561876297,
0.012091968208551407,
0.0017470684833824635,
0.03469790518283844,
0.010243456810712814,
0.009035161696374416,
0.08526595681905746,
0.026853006333112717,
0.05731286108493805,
-0.03559961915016174,
-0.010793501511216164,
-0.03406670689582825,
0.023624874651432037,
0.024995477870106697,
-0.01506762020289898,
0.03579799458384514,
0.007763746660202742,
0.0160414706915617,
0.00404869019985199,
-0.0376194566488266,
-0.013020732440054417,
0.002203560434281826,
-0.03356174752116203,
-0.010883673094213009,
-0.0043327296152710915,
0.007155090570449829,
0.01053200475871563,
-0.027502238750457764,
-0.03478807955980301,
-0.06192963197827339,
-0.03511269390583038,
0.009657343849539757,
0.02550043724477291,
0.0097384974360466,
0.011550940573215485,
-0.0014393589226529002,
-0.008926955983042717,
0.012614961713552475,
0.002470692852512002,
-0.0024391328915953636,
0.03240755572915077,
-0.008728579618036747,
-0.022687092423439026,
0.001080928137525916,
0.00858430564403534,
0.01683497615158558,
-0.02517581917345524,
-0.000831830024253577,
-0.002152839209884405,
0.02111811190843582,
-0.020739393308758736,
-0.01520287711173296,
-0.011027947068214417,
0.04241656884551048,
0.03579799458384514,
0.0320829413831234,
0.005775470286607742,
-0.014661849476397038,
0.008791699074208736,
-0.02793506160378456,
0.03284037858247757,
0.006704234052449465,
-0.01631198450922966,
-0.035202864557504654,
-0.029558144509792328,
0.003187554655596614,
0.010829569771885872,
-0.02182144857943058,
0.004932368639856577,
0.015464373864233494,
-0.03794407099485397,
-0.013128937222063541,
-0.008160500787198544,
0.015410270541906357,
-0.016113607212901115,
-0.005342647898942232,
0.03502252325415611,
0.005996389780193567,
-0.0196934062987566,
0.03238952159881592,
0.007768255192786455,
-0.01241658441722393,
-0.014833174645900726,
0.004325966816395521,
0.048403941094875336,
-0.01960323564708233,
0.0329846516251564,
-0.003983316011726856,
-0.024851202964782715,
0.007069427985697985,
-0.022867435589432716,
0.03704236075282097,
-0.009368795901536942,
-0.057601410895586014,
0.02203786000609398,
-0.004576192237436771,
-0.021226318553090096,
-0.03532910719513893,
0.005951303988695145,
-0.009422898292541504,
0.015617664903402328,
-0.02894497849047184,
-0.01853921450674534,
0.019188446924090385,
-0.048007186502218246,
-0.039062194526195526,
0.00530207110568881,
0.014192958362400532,
-0.047682568430900574,
0.009954908862709999,
-0.0031154174357652664,
0.07899003475904465,
-0.08281330019235611,
-0.006149680819362402,
-0.0005277837626636028,
0.003117671934887767,
0.015545527450740337,
0.018575282767415047,
0.00861135683953762,
-0.029972931370139122,
-0.011343546211719513,
0.029449937865138054,
0.013597828336060047,
-0.008836785331368446,
0.00829124916344881,
-0.03460773453116417,
-0.009684395045042038,
0.0032642001751810312,
-0.015834076330065727,
0.005410276353359222,
0.020919736474752426,
-0.005446345079690218,
-0.0036564453039318323,
0.046852994710206985,
-0.03168618679046631,
-0.02925156243145466,
0.021839482709765434,
-0.04761043190956116,
-0.0274481363594532,
0.02018033154308796,
0.01673578843474388,
-0.027808820828795433,
0.058719534426927567,
0.04887283220887184,
0.03646526485681534,
-0.03482414782047272,
-0.01741207391023636,
-0.0027028839103877544,
0.01358881127089262,
-0.03383226320147514,
-0.015139756724238396,
0.003230385947972536,
0.03776372969150543,
0.03307482227683067,
0.011199272237718105,
-0.012479704804718494,
0.008133448660373688,
-0.027123520150780678,
0.009021636098623276,
-0.022290339693427086,
0.01844002492725849,
-0.010450851172208786,
0.03258789703249931,
-0.03722270205616951,
-0.030063103884458542,
0.0138322738930583,
0.01673578843474388,
0.018151476979255676,
-0.03305678814649582,
0.03579799458384514,
0.0343191884458065,
-0.05161403864622116,
-0.01462578121572733,
-0.02492333948612213,
-0.016510359942913055,
0.009909823536872864,
0.0619657002389431,
-0.011469786055386066,
0.023246154189109802,
-0.0088548194617033,
0.0057123503647744656,
-0.044544611126184464,
-0.000685865234117955,
-0.04887283220887184,
-0.008201077580451965,
-0.011523888446390629,
-0.01506762020289898,
0.007691609673202038,
-0.017457159236073494,
-0.019350755959749222,
-0.02315598353743553,
0.056663628667593,
0.007768255192786455,
0.014283129945397377,
-0.005338139366358519,
0.05049591511487961,
-0.03697022423148155,
0.014589712023735046,
-0.01765553466975689,
0.03572585806250572,
0.015356168150901794,
0.007114513777196407,
0.007448147516697645,
-0.05244361236691475,
-0.018394939601421356,
-0.006208292208611965,
-0.009693412110209465,
-0.021803414449095726,
-0.06939581036567688,
0.006136155221611261,
-0.013002697378396988,
-0.010144268162548542,
0.03554551675915718,
0.019224515184760094,
-0.0254463329911232,
0.008426506072282791,
-0.002258790424093604,
0.005937778390944004,
0.02513975091278553,
0.02337239496409893,
0.010342645458877087,
0.036627572029829025,
0.019350755959749222,
0.06871051341295242,
-0.02398555912077427,
-0.01077546738088131,
-0.04443640261888504,
-0.05846705287694931,
-0.033796194940805435,
-0.0013976547634229064,
0.047682568430900574,
0.0019420637981966138,
-0.01728583313524723,
0.013958513736724854,
0.046492308378219604,
-0.0005934396758675575,
0.03210097551345825,
-0.004810637328773737,
0.0043417466804385185,
0.002233993262052536,
-0.04663658142089844,
0.04039673134684563,
-0.057962097227573395,
0.00960324052721262,
-0.04811539128422737,
0.012894492596387863,
-0.0285482257604599,
0.05190258473157883,
-0.012750218622386456,
-0.034589700400829315,
-0.03132550045847893,
0.005982864182442427,
-0.018124425783753395,
0.0075247930362820625,
-0.01011721696704626,
-0.003911179024726152,
0.005532007664442062,
0.017096472904086113,
-0.003721819259226322,
-0.00324842007830739,
0.0033521170262247324,
0.019927851855754852,
0.027917027473449707,
-0.011298460885882378,
0.05421097204089165,
-0.007682592608034611,
0.028782671317458153,
0.004105047322809696,
0.02355273626744747,
0.03691611811518669,
-0.00330928573384881,
0.01832280308008194,
0.022254271432757378,
0.017114507034420967,
0.0060234409756958485,
-0.019747508689761162,
0.021929653361439705,
0.007876460440456867,
0.045662734657526016,
-0.028836773708462715,
0.010631193406879902,
0.0032642001751810312,
-0.0027547325007617474,
0.03909826651215553,
-0.0098467031493783,
0.08447244763374329,
0.0305319931358099,
-0.008196569047868252,
0.017980152741074562,
0.02623984031379223,
-0.006442737765610218,
-0.03036968596279621,
-0.031127123162150383,
-0.017583398148417473,
0.053092844784259796,
-0.01515779085457325,
-0.005468887742608786,
-0.032822344452142715,
0.03280431032180786,
-0.023823250085115433,
-0.00030010126647539437,
0.005220916587859392,
-0.018881864845752716,
-0.016203777864575386,
0.007781780790537596,
-0.0052299341186881065,
-0.05334532633423805,
-0.023877354338765144,
0.0019296653335914016,
0.0058025214821100235,
-0.03844903036952019,
-0.004513072315603495,
0.038268689066171646,
0.025031546130776405,
0.023570770397782326,
-0.03599637374281883,
-0.028602328151464462,
-0.012651029974222183,
0.07253377139568329,
0.011100083589553833,
-0.008926955983042717,
-0.02288546971976757,
0.000980612589046359,
-0.015698818489909172,
-0.04973847419023514,
-0.03453559800982475,
-0.010441833175718784,
-0.048007186502218246,
0.023715045303106308,
0.015924246981739998,
0.03040575422346592,
0.007831375114619732,
-0.029179424047470093,
-0.03891792148351669,
-0.02209196239709854,
0.037330906838178635,
-0.03633902221918106,
0.014733985997736454,
0.013092868961393833,
0.029900794848799706,
-0.043174006044864655,
0.005468887742608786,
0.03323713317513466,
-0.012894492596387863,
0.04440033435821533,
0.04948599636554718,
0.012623978778719902,
-0.0238953884691,
0.022344442084431648,
0.004118572920560837,
-0.016447240486741066,
-0.006325514987111092,
0.010441833175718784,
-0.0438232384622097,
0.004810637328773737,
-0.042957596480846405,
0.01139764953404665,
0.007227227557450533,
0.007222719024866819,
0.05146976187825203,
-0.022813333198428154,
0.007452656049281359,
-0.009242556057870388
] |
Accurately predicting their future performance can ensure students successful
graduation, and help them save both time and money. However, achieving such
predictions faces two challenges, mainly due to the diversity of students'
background and the necessity of continuously tracking their evolving progress.
The goal of this work is to create a system able to automatically detect
students in difficulty, for instance predicting if they are likely to fail a
course. We compare a naive approach widely used in the literature, which uses
attributes available in the data set (like the grades), with a personalized
approach we called Personalized Student Attribute Inference (PSAI). With our
model, we create personalized attributes to capture the specific background of
each student. Both approaches are compared using machine learning algorithms
like decision trees, support vector machine or neural networks. | [
-0.027590962126851082,
0.042090822011232376,
-0.018365342170000076,
-0.036284007132053375,
0.023484960198402405,
-0.0401323102414608,
-0.05889279022812843,
0.01172529999166727,
-0.014104720205068588,
-0.031765684485435486,
0.02319290116429329,
-0.056625038385391235,
0.005179747939109802,
-0.021492088213562965,
-0.003444575471803546,
0.0006582059431821108,
0.0283984187990427,
0.04824123531579971,
0.02796892076730728,
-0.020787712186574936,
-0.07146849483251572,
-0.05531936511397362,
-0.007267109118402004,
0.008212004788219929,
0.029119975864887238,
0.030958227813243866,
0.0022226530127227306,
-0.00820341520011425,
-0.05971742793917656,
0.0060988739132881165,
0.0446678102016449,
0.03221236169338226,
0.04267494007945061,
-0.056350160390138626,
-0.014877816662192345,
-0.008104630745947361,
-0.0038032063748687506,
0.06215697526931763,
0.001760942512191832,
0.029463574290275574,
-0.022729042917490005,
-0.012154798023402691,
0.012120438739657402,
0.005317187402397394,
0.04514884948730469,
-0.0832882896065712,
-0.05013102665543556,
-0.048206876963377,
-0.030786428600549698,
-0.0026779212057590485,
-0.02814071998000145,
-0.01683632843196392,
0.027127105742692947,
0.03528757020831108,
-0.023381881415843964,
0.07304905354976654,
0.03150798752903938,
-0.048825353384017944,
0.039994869381189346,
0.02829534001648426,
-0.006833315826952457,
0.08569347858428955,
0.012421087361872196,
0.02539193257689476,
0.06315340846776962,
-0.03135336562991142,
0.015496294014155865,
0.0299102533608675,
0.020048974081873894,
0.012360957451164722,
-0.009749609045684338,
0.007095309905707836,
0.018365342170000076,
0.006502602249383926,
-0.024120617657899857,
-0.028226619586348534,
0.060816939920186996,
0.03947947174310684,
-0.047966357320547104,
-0.04621400311589241,
0.007524807937443256,
0.03965127095580101,
0.003663619514554739,
-0.012738916091620922,
0.016527090221643448,
-0.017712505534291267,
-0.009723838418722153,
-0.0777219906449318,
0.06177901849150658,
0.011218491941690445,
-0.01700812764465809,
-0.005952844861894846,
-0.020461292937397957,
0.009766788221895695,
-0.005106733180582523,
0.030356930568814278,
-0.036661963909864426,
0.006927805487066507,
-0.0532577745616436,
-0.0021389008034020662,
0.010015897452831268,
0.02889663726091385,
-0.01822790317237377,
0.02195594646036625,
-0.005398792214691639,
-0.057106077671051025,
-0.08280725032091141,
0.053017254918813705,
0.05071514472365379,
0.12857457995414734,
-0.006051629316061735,
0.013108284212648869,
-0.014104720205068588,
-0.021114129573106766,
0.00919985119253397,
0.01739467680454254,
-0.016063231974840164,
-0.032951101660728455,
0.038654834032058716,
-0.016956588253378868,
0.016020281240344048,
0.05408240854740143,
-0.02442985586822033,
0.024773454293608665,
-0.06902894377708435,
0.031009769067168236,
0.02415497787296772,
0.0070265899412333965,
-0.008332264609634876,
-0.005085258278995752,
0.049581270664930344,
0.03140490502119064,
-0.0031117142643779516,
0.011192722246050835,
-0.00563501613214612,
0.06744839251041412,
0.054357290267944336,
-0.007954305969178677,
-0.029824353754520416,
-0.010445395484566689,
-0.021973127499222755,
-0.0015129073290154338,
-0.02786584198474884,
-0.013400343246757984,
0.03745223954319954,
0.0017888599541038275,
0.04305289685726166,
0.016544269397854805,
-0.002753083361312747,
0.05439164862036705,
-0.017764044925570488,
0.02657734788954258,
0.05019974708557129,
0.005828290246427059,
-0.016801968216896057,
0.014783327467739582,
-0.006154709029942751,
0.04562988504767418,
-0.02114848978817463,
0.002645708853378892,
0.022729042917490005,
0.007108194753527641,
0.009637938812375069,
0.04023538902401924,
0.0003087018267251551,
-0.005398792214691639,
-0.0012358810054138303,
-0.021011050790548325,
-0.07943998277187347,
0.045870404690504074,
-0.031061308458447456,
-0.014877816662192345,
0.014087540097534657,
0.016020281240344048,
0.021698247641324997,
0.005549116525799036,
0.03272775933146477,
0.027264544740319252,
-0.0926341637969017,
-0.017377495765686035,
-0.06854791194200516,
0.07449216395616531,
-0.001864022109657526,
-0.04174722358584404,
0.06329084932804108,
-0.00034520914778113365,
0.08445651829242706,
0.018537141382694244,
0.007752442266792059,
-0.016870688647031784,
0.010041667148470879,
-0.004982179030776024,
0.02803764119744301,
0.025271672755479813,
-0.0003811796195805073,
-0.03516731038689613,
-0.02942921593785286,
0.04085386544466019,
-0.015607963316142559,
-0.007541988044977188,
-0.07105617970228195,
-0.14747250080108643,
0.04157542437314987,
0.050818223506212234,
0.025632450357079506,
0.04504576697945595,
0.05724351853132248,
0.05057770386338234,
-0.03145644813776016,
-0.06346265226602554,
-0.02576989121735096,
-0.024395495653152466,
-0.012068898417055607,
0.04538936913013458,
-0.02264314331114292,
-0.0030515845865011215,
0.02765968255698681,
-0.006936395540833473,
0.039616912603378296,
-0.03837995603680611,
0.037795837968587875,
0.01625221036374569,
-0.0025834315456449986,
-0.012094669044017792,
-0.05068078637123108,
0.0009352322667837143,
0.01979127526283264,
0.025701170787215233,
-0.04535500705242157,
-0.008680158294737339,
0.001881201984360814,
0.012335187755525112,
0.01681055873632431,
0.011570680886507034,
0.033758558332920074,
0.01352919265627861,
-0.00854271836578846,
-0.030219491571187973,
-0.011312982067465782,
0.0094661395996809,
-0.016046052798628807,
-0.055388085544109344,
-0.03405061364173889,
-0.006975050549954176,
0.051883380860090256,
0.010136157274246216,
0.032143644988536835,
0.03142208606004715,
0.03803635761141777,
0.0633595734834671,
0.0028540154453366995,
-0.05088694393634796,
0.010471165180206299,
-0.019671017304062843,
0.007365893572568893,
0.009208440780639648,
0.06150414049625397,
-0.0029442100785672665,
0.06267237663269043,
-0.026646066457033157,
0.00449255108833313,
-0.019619476050138474,
-0.0025233018677681684,
0.037417881190776825,
-0.02539193257689476,
0.007816866971552372,
0.047966357320547104,
0.01046257559210062,
0.03793327882885933,
-0.0036614718846976757,
-0.009217031300067902,
-0.016767608001828194,
-0.03271058201789856,
-0.05535372346639633,
-0.009320110082626343,
-0.07112489640712738,
0.042915455996990204,
0.010239236988127232,
-0.014216389507055283,
0.022076206281781197,
-0.047691479325294495,
-0.027951741591095924,
0.0237254798412323,
-0.03164542466402054,
-0.004909164272248745,
-0.06524936109781265,
-0.033586759120225906,
-0.0005272090202197433,
-0.04734787717461586,
0.0036314071621745825,
-0.0008020878303796053,
-0.054735247045755386,
-0.03061462938785553,
-0.01309969462454319,
0.027934560552239418,
0.032298263162374496,
-0.06583347916603088,
-0.013666631653904915,
-0.04195338115096092,
-0.028501499444246292,
0.00006586757081095129,
-0.032624680548906326,
0.02614784985780716,
-0.0013153381878510118,
-0.011622220277786255,
-0.020237954333424568,
0.016192080453038216,
0.013675222173333168,
-0.01769532449543476,
-0.024893714115023613,
0.008564193733036518,
0.012300827540457249,
-0.023862918838858604,
-0.04136926308274269,
0.02657734788954258,
0.03566552698612213,
0.04222825914621353,
-0.004273506812751293,
-0.03604348748922348,
-0.01736890710890293,
0.015041026286780834,
-0.025958869606256485,
-0.03393035754561424,
0.0013475505402311683,
-0.05741531774401665,
-0.023708298802375793,
-0.07236184924840927,
0.024034718051552773,
-0.024790635332465172,
-0.036833763122558594,
-0.019756916910409927,
0.004861919209361076,
-0.029343316331505775,
-0.01438818871974945,
0.01267019659280777,
-0.03755532205104828,
0.006824726238846779,
0.038001999258995056,
-0.006953575648367405,
0.019808456301689148,
-0.04714171960949898,
-0.01419920939952135,
-0.05040590465068817,
-0.00597002450376749,
0.01915561780333519,
0.0512305423617363,
0.008976511657238007,
0.028913816437125206,
-0.011974409222602844,
-0.019189978018403053,
0.0009787189774215221,
0.035218849778175354,
-0.0019488480174914002,
0.013967280276119709,
0.03351803869009018,
0.010316546075046062,
0.021182850003242493,
-0.05260493606328964,
0.03001333214342594,
-0.057380955666303635,
0.00544603681191802,
-0.0031675491482019424,
-0.005115323234349489,
0.022986741736531258,
-0.008126105181872845,
-0.043980613350868225,
0.01910407841205597,
0.005149682983756065,
-0.011020923033356667,
0.008680158294737339,
-0.023519320413470268,
0.0459391251206398,
0.03222954273223877,
-0.0451832078397274,
-0.042640578001737595,
0.03188594430685043,
0.00715543981641531,
0.014654478058218956,
-0.021440548822283745,
0.01474037766456604,
-0.00041124451672658324,
0.0050337184220552444,
-0.003105271840468049,
0.05507884547114372,
-0.026697605848312378,
-0.0016643054550513625,
0.044255491346120834,
0.03415369614958763,
-0.04576732590794563,
0.06755147129297256,
0.028965357691049576,
-0.021612348034977913,
-0.0016310192877426744,
-0.05294853448867798,
-0.0008885243441909552,
0.00708671985194087,
0.007069540210068226,
-0.023158540949225426,
0.015230005607008934,
-0.029394855722784996,
-0.027522243559360504,
0.05312033370137215,
-0.034239593893289566,
-0.006305033341050148,
-0.0653524398803711,
-0.009517679922282696,
0.04470216855406761,
-0.02970409393310547,
0.011948639526963234,
0.03422241285443306,
-0.014267929829657078,
0.0258729699999094,
-0.013280083425343037,
0.023261621594429016,
0.0017351725837215781,
0.06950998306274414,
-0.043396495282649994,
-0.0013679517433047295,
-0.008864842355251312,
0.029463574290275574,
-0.026766326278448105,
0.027178645133972168,
0.07655375450849533,
-0.02173260785639286,
0.014706017449498177,
0.037795837968587875,
-0.012524167075753212,
-0.016363879665732384,
0.02437831647694111,
-0.0039664157666265965,
-0.002929177600890398,
0.012756096199154854,
0.022900842130184174,
0.019619476050138474,
0.03506423160433769,
0.028054820373654366,
0.0022140631917864084,
-0.03167978674173355,
-0.022471344098448753,
0.003423100570216775,
-0.06707043200731277,
-0.03238416090607643,
0.0497187077999115,
-0.00492204912006855,
-0.014267929829657078,
-0.026714786887168884,
0.005703735630959272,
0.003919170703738928,
-0.006545552052557468,
0.018056103959679604,
-0.060129743069410324,
-0.0007441056077368557,
-0.057655833661556244,
-0.022076206281781197,
0.03917023539543152,
-0.010204876773059368,
0.014654478058218956,
-0.05913330987095833,
0.02027231454849243,
-0.011579270474612713,
0.022522883489727974,
0.03679940477013588,
0.015530654229223728,
0.0050981431268155575,
-0.008027320727705956,
0.0583086721599102,
-0.032573141157627106,
-0.03765840083360672,
0.007305764127522707,
0.04336213693022728,
0.052639298141002655,
-0.027006845921278,
-0.00786411203444004,
0.027556603774428368,
0.022952383384108543,
0.004806084558367729,
-0.016973767429590225,
-0.024790635332465172,
0.00822918489575386,
0.008233480155467987,
0.025512192398309708,
0.024893714115023613,
-0.005171157885342836,
-0.010995153337717056,
-0.015281544998288155,
-0.015461934730410576,
-0.01645836979150772,
0.039513833820819855,
0.029463574290275574,
0.007378778886049986,
-0.037417881190776825,
-0.012094669044017792,
-0.0010216687805950642,
-0.03379291668534279,
0.029360495507717133,
-0.03690248355269432,
0.03910151496529579,
-0.006914920639246702,
0.03202338516712189,
-0.004496845882385969,
0.049306388944387436,
-0.03882663697004318,
-0.010024487040936947,
0.01726582646369934,
-0.0013174857012927532,
0.05535372346639633,
-0.017849944531917572,
0.016741838306188583,
-0.006519782356917858,
0.012464037165045738,
0.024137796834111214,
0.016046052798628807,
0.0023515024222433567,
0.027470704168081284,
0.03807071968913078,
0.03183440491557121,
0.03776147961616516,
0.006498307455331087,
0.04126618430018425,
0.019980255514383316,
-0.0026521512772887945,
0.013512012548744678,
-0.042743656784296036,
0.014774736948311329,
-0.0916033685207367,
0.024996794760227203,
0.06246621534228325,
-0.03276212140917778,
0.030786428600549698,
-0.05119618400931358,
-0.02937767468392849,
0.0552850067615509,
0.002053001197054982,
-0.03320879861712456,
-0.05305161327123642,
0.006584207061678171,
0.022248005494475365,
0.056831199675798416,
-0.02523731254041195,
-0.04463345184922218,
-0.03614656627178192,
-0.015633733943104744,
0.0092771602794528,
-0.03879227489233017,
-0.03614656627178192,
0.01948203705251217,
0.012799046002328396,
-0.035906046628952026,
0.012618656270205975,
-0.03841431811451912,
0.02001461572945118,
-0.0020368951372802258,
0.01436241902410984,
-0.00022052046551834792,
0.029257414862513542,
-0.03260750323534012,
-0.08232621103525162,
0.007855521515011787,
0.036284007132053375,
-0.008096040226519108,
0.01979127526283264,
0.015058206394314766,
0.03872355446219444,
-0.011854149401187897,
-0.030580271035432816,
0.0018994556739926338,
0.011209902353584766,
0.04803507775068283,
0.007838341407477856,
0.010471165180206299,
-0.025048334151506424,
-0.03422241285443306,
-0.018038922920823097,
-0.024292416870594025,
-0.013821251690387726,
-0.023467781022191048,
-0.006189068779349327,
-0.01756647601723671,
0.010325136594474316,
-0.008469703607261181,
-0.0011564238229766488,
-0.02829534001648426,
-0.027831481769680977,
-0.03496115282177925,
0.0023772723507136106,
0.023158540949225426,
0.021749787032604218,
-0.0185543205589056,
-0.013486242853105068,
-0.019928716123104095,
-0.0156509131193161,
0.06655503809452057,
0.0036485870368778706,
0.011278621852397919,
-0.08438780158758163,
-0.005308597348630428,
0.0038676310796290636,
-0.038276877254247665,
-0.005579181481152773,
-0.030322570353746414,
-0.0019746178295463324,
-0.0035111475735902786,
0.01559937372803688,
0.05315469577908516,
-0.006171888671815395,
-0.023708298802375793,
0.023605220019817352,
0.024412676692008972,
-0.015281544998288155,
0.022883662953972816,
0.06404677033424377,
0.010479755699634552,
0.01315123401582241,
-0.029978971928358078,
0.02307264134287834,
-0.024412676692008972,
0.07765327394008636,
-0.02932613529264927,
0.0021678919438272715,
0.02480781450867653,
-0.013030975125730038,
0.025271672755479813,
0.061091821640729904,
-0.006837611086666584,
-0.01091784331947565,
0.07112489640712738,
0.023605220019817352,
0.00504230847582221,
0.007159734610468149,
-0.06682991981506348,
-0.02162952907383442,
0.0050766682252287865,
-0.047485318034887314,
-0.005536231677979231,
0.016346700489521027,
0.006004384718835354,
-0.0006716277566738427,
0.08040206134319305,
0.006266378331929445,
-0.04068206623196602,
-0.02453293651342392,
-0.034136515110731125,
-0.017575064674019814,
0.06782635301351547,
0.004690119996666908,
-0.0027208710089325905,
-0.011854149401187897,
-0.05442601069808006,
0.022419804707169533,
0.028827916830778122,
0.005510461516678333,
-0.0003728581068571657,
0.03162824735045433,
0.03159388527274132,
0.001288494560867548,
-0.023278800770640373,
-0.005952844861894846,
-0.006644336972385645,
0.0028926702216267586,
0.04229697957634926,
-0.021509269252419472,
0.007533397991210222,
-0.01748916506767273,
-0.007232749368995428,
0.008044500835239887,
0.04727916046977043,
-0.00038923273677937686,
0.019018178805708885,
0.0007972560124471784,
0.050234105437994,
-0.002008977811783552,
-0.09229056537151337,
-0.05944254621863365,
0.06555860489606857,
0.03927331417798996,
0.017712505534291267,
-0.00851694867014885,
0.056040920317173004,
0.0011843412648886442,
-0.026165029034018517,
-0.04470216855406761,
-0.020409753546118736,
0.020856430754065514,
0.05810251459479332,
-0.007035179995000362,
-0.009002281352877617,
-0.031439267098903656,
0.04023538902401924,
-0.038654834032058716,
0.0222136452794075,
-0.050165388733148575,
0.00625349348410964,
0.051093101501464844,
0.04487396776676178,
-0.00718120951205492,
-0.04109438508749008,
0.0022097681649029255,
-0.0025576616171747446,
-0.033071357756853104,
-0.014096129685640335,
-0.0200661551207304,
0.026697605848312378,
-0.05222697928547859,
0.013331623747944832,
0.02680068649351597,
0.013889971189200878,
0.009371650405228138,
-0.03234980255365372,
-0.001975691644474864,
-0.005085258278995752,
0.007361598778516054,
0.01164799090474844,
-0.02425805665552616,
0.03051155060529709,
0.028381239622831345,
0.020358214154839516,
0.00822918489575386,
0.019722556695342064,
-0.058617912232875824,
0.03649016469717026,
-0.00013193646736908704,
-0.0032255311962217093,
-0.003616374684497714,
-0.02796892076730728,
-0.027883021160960197,
0.028587399050593376,
0.013211363926529884,
0.016570039093494415,
-0.017712505534291267,
0.0013883528299629688,
0.010153336450457573,
-0.016939407214522362,
0.003165401518344879,
-0.0036442920099943876,
0.007563462946563959,
0.013460473157465458,
0.01698235794901848,
0.03099258802831173,
0.010144746862351894,
0.011115413159132004,
0.021217210218310356,
-0.023605220019817352,
-0.02609630860388279,
0.02753942273557186,
-0.012790455482900143,
0.008602848276495934,
0.01738608628511429,
-0.0026220863219350576,
-0.003418805543333292,
0.006687286775559187,
0.03934203460812569,
0.010196286253631115,
0.03917023539543152,
-0.004123182501643896,
-0.0200661551207304,
0.004000775516033173,
-0.0365932434797287,
-0.02054719254374504,
-0.04631708189845085,
-0.013623681850731373,
-0.0401323102414608,
0.032744940370321274,
-0.0061632986180484295,
-0.002284930320456624,
0.00003291700704721734,
0.0030709118582308292,
-0.006124644074589014,
-0.0007290731300599873,
-0.0001193199641420506,
-0.04229697957634926,
0.0021593021228909492,
-0.007958601228892803,
0.087823785841465,
-0.04906587302684784,
0.030700528994202614,
0.015865663066506386,
0.020615912973880768,
-0.013993050903081894,
-0.019756916910409927,
-0.012283647432923317,
0.0056092459708452225,
0.01605464145541191,
-0.003749519120901823,
0.010419625788927078,
0.002555514220148325,
0.004754544701427221,
-0.004131772555410862,
-0.016973767429590225,
-0.012171978130936623,
0.0174118559807539,
-0.0040737902745604515,
0.0034338380210101604,
-0.02723018452525139,
-0.029824353754520416,
0.025701170787215233,
-0.03018513135612011,
0.011879919096827507,
0.006111759226769209,
-0.023467781022191048,
-0.025632450357079506,
0.06600528210401535,
-0.03652452677488327,
-0.03587168827652931,
0.000047043471568031237,
-0.006889150943607092,
0.008332264609634876,
-0.011467601172626019,
0.007756737060844898,
-0.008010140620172024,
0.02496243454515934,
0.024017538875341415,
-0.04573296755552292,
-0.04906587302684784,
-0.03910151496529579,
0.016819149255752563,
0.019945895299315453,
-0.02920587547123432,
-0.03470345214009285,
-0.0633595734834671,
-0.0185543205589056,
0.0014806949766352773,
-0.016930818557739258,
-0.021045411005616188,
-0.02436113730072975,
-0.029308956116437912,
-0.039891790598630905,
-0.010746044106781483,
0.019602296873927116,
0.014774736948311329,
-0.006532667204737663,
0.05342957377433777,
0.033225979655981064,
0.0020648124627768993,
0.0014592200750485063,
-0.00830219965428114,
0.01048834528774023,
-0.010101797059178352,
0.06181337684392929,
-0.01110682263970375,
0.021045411005616188,
0.020736172795295715,
0.008735992945730686,
-0.01656145043671131,
0.002778853289783001,
0.023639580234885216,
-0.03662760555744171,
-0.04404933378100395,
0.0005647900979965925,
0.03104412741959095,
0.006524077150970697,
0.008456818759441376,
0.034188054502010345,
0.043602656573057175,
0.030872328206896782,
-0.0006839758716523647,
0.03449729457497597,
0.029223056510090828,
0.029824353754520416,
0.02059873193502426,
-0.03851739689707756,
0.0421595424413681,
0.01027359627187252,
0.015659503638744354,
-0.02420651726424694,
-0.017884304746985435,
-0.014156259596347809,
-0.004488255828619003,
-0.004436715971678495,
-0.03690248355269432,
-0.03334623947739601,
-0.029085615649819374,
-0.022127745673060417,
-0.04964998736977577,
0.05184901878237724,
0.01699094846844673,
0.006085989065468311,
-0.02582143060863018,
0.01822790317237377,
-0.01617490127682686,
-0.034411393105983734,
0.04109438508749008,
-0.0012648721458390355,
0.026611706241965294,
-0.04071642830967903,
0.054632168263196945,
0.020856430754065514,
-0.02355368062853813,
0.022144926711916924,
0.0004958019708283246,
-0.0694069042801857,
0.04257185757160187,
-0.0039148759096860886,
0.03662760555744171,
0.00187261204700917,
0.03125028684735298,
0.043499574065208435,
-0.017205696552991867,
0.010196286253631115,
-0.03518449142575264,
-0.005982909817248583,
0.0025791365187615156,
0.0189322791993618,
0.04724479839205742,
0.006266378331929445,
0.025117052718997,
0.016879279166460037,
0.064630888402462,
0.013348802924156189,
0.006803251337260008,
0.00009596599556971341,
-0.019499218091368675,
0.029119975864887238,
-0.01091784331947565,
-0.022282365709543228,
0.024326777085661888,
-0.027419162914156914,
-0.007348713930696249,
-0.015023846179246902,
-0.021011050790548325,
-0.03008205257356167,
0.002989307278767228,
-0.013469062745571136,
0.0034424278419464827,
0.029463574290275574,
0.013563552871346474,
0.02312418259680271,
0.05363573133945465,
0.0008965774322859943,
-0.002396599855273962,
-0.009423189796507359,
-0.04051026701927185,
0.032092105597257614,
-0.0037473714910447598,
0.024447036907076836,
0.045114487409591675,
-0.02442985586822033,
0.009741018526256084,
0.015461934730410576,
-0.025134233757853508,
0.025752710178494453,
-0.0005647900979965925,
0.02480781450867653,
-0.02173260785639286,
0.014319469220936298,
0.0018704645335674286,
-0.02534039318561554,
0.03879227489233017,
0.01700812764465809,
0.013537782244384289,
-0.02518577314913273,
-0.03834559768438339,
-0.043018538504838943,
-0.017660964280366898,
-0.004026545211672783,
0.01774686388671398,
0.0424000583589077,
-0.02157798781991005,
0.056144002825021744,
-0.03501269221305847,
0.026989664882421494,
-0.02238544449210167,
0.01877766102552414,
-0.03604348748922348,
-0.019516397267580032,
-0.007709492463618517,
-0.006008679512888193,
-0.04765711724758148,
-0.048172514885663986,
0.016776198521256447,
-0.017497755587100983,
-0.00646824249997735,
-0.021234389394521713,
0.013297263532876968,
0.03721172362565994,
0.011828379705548286,
-0.014371008612215519,
0.023158540949225426,
-0.02286648377776146,
0.007834047079086304,
0.03707428276538849,
0.032813660800457,
-0.05562860518693924,
0.04624836519360542,
0.004387323744595051,
-0.0028926702216267586,
-0.0552850067615509,
0.014534218236804008,
-0.018313802778720856,
-0.017334546893835068,
-0.024223696440458298,
-0.008615733124315739,
-0.00901087187230587,
0.026766326278448105,
-0.03600912541151047,
-0.020633092150092125,
-0.012386727146804333,
0.016750428825616837,
-0.011381701566278934,
-0.006485422607511282,
0.0630846917629242,
-0.04415241256356239,
0.012610066682100296,
-0.01393292099237442,
0.0035605398006737232,
-0.014267929829657078,
-0.023605220019817352,
0.0648714080452919,
-0.08198261260986328,
-0.013400343246757984,
0.02405189722776413,
0.016346700489521027,
-0.02561527118086815,
0.01657862961292267,
0.021852867677807808,
-0.013503422960639,
0.01005884725600481,
-0.03490961343050003,
0.022351084277033806,
0.006841905880719423,
-0.06810122728347778,
0.05676247924566269,
0.011630810797214508,
0.005841175094246864,
-0.004578450694680214
] |
In computer-aided education and intelligent tutoring systems, knowledge
tracing (KT) raises attention due to the development of data-driven learning
methods, which aims to predict students' future performance given their past
question response sequences to trace their knowledge states. However, current
deep learning approaches only focus on enhancing prediction accuracy, but
neglecting the discrimination imbalance of responses. That is, a considerable
proportion of question responses are weak to discriminate students' knowledge
states, but equally considered compared to other discriminative responses, thus
hurting the ability of tracing students' personalized knowledge states. To
tackle this issue, we propose DR4KT for Knowledge Tracing, which reweights the
contribution of different responses according to their discrimination in
training. For retaining high prediction accuracy on low discriminative
responses after reweighting, DR4KT also introduces a discrimination-aware score
fusion technique to make a proper combination between student knowledge mastery
and the questions themselves. Comprehensive experimental results show that our
DR4KT applied on four mainstream KT methods significantly improves their
performance on three widely-used datasets. | [
0.004433485679328442,
-0.009344244375824928,
-0.029778052121400833,
-0.020457202568650246,
0.050048090517520905,
-0.009732612408697605,
-0.020045438781380653,
0.011052130721509457,
-0.022927789017558098,
0.021168433129787445,
0.021467898041009903,
-0.07220850139856339,
0.032398369163274765,
-0.02103741653263569,
-0.07086090743541718,
0.016292767599225044,
0.032473236322402954,
0.0447700172662735,
-0.0155441053211689,
-0.061128295958042145,
-0.023376986384391785,
-0.022422442212700844,
-0.0046136328019201756,
0.015020041726529598,
0.008487961255013943,
0.04675397276878357,
0.010790098458528519,
0.005025397054851055,
-0.05191974714398384,
0.0337272472679615,
0.03720852732658386,
0.04170050099492073,
-0.01804276742041111,
-0.044657718390226364,
-0.041663069278001785,
-0.0227219071239233,
0.04914969578385353,
0.0621764212846756,
-0.02706415019929409,
0.033914413303136826,
-0.029721902683377266,
-0.021224582567811012,
-0.022272709757089615,
-0.022834205999970436,
0.01895052008330822,
-0.05031011998653412,
-0.02863634191453457,
-0.019409075379371643,
0.011594911105930805,
-0.036665745079517365,
-0.011885017156600952,
-0.03273526951670647,
0.035243287682533264,
0.03324061632156372,
0.025679124519228935,
0.09463094174861908,
0.041026704013347626,
-0.015581538900732994,
0.06464701145887375,
0.011838225647807121,
-0.005586894229054451,
0.07681277394294739,
0.00297593348659575,
0.006475930567830801,
0.03767644241452217,
-0.11843840777873993,
0.012961219996213913,
0.026614952832460403,
0.018136348575353622,
0.014177796430885792,
-0.02159891277551651,
0.025267360731959343,
0.016610950231552124,
-0.001527739455923438,
-0.013943838886916637,
0.002872992306947708,
0.024724580347537994,
0.03324061632156372,
0.0020822177175432444,
0.007622320204973221,
0.0038041414227336645,
0.07696250826120377,
-0.007996651344001293,
-0.026540085673332214,
0.0013008011737838387,
-0.027270032092928886,
0.017078863456845284,
-0.06910154968500137,
0.003921119961887598,
-0.006826866418123245,
-0.05278070643544197,
-0.0269892830401659,
-0.03578606992959976,
0.00004602373519446701,
-0.04596787691116333,
0.006387026980519295,
-0.043235260993242264,
-0.03187430649995804,
-0.04151333495974541,
0.002458888338878751,
-0.0027981260791420937,
-0.04589301347732544,
-0.019764689728617668,
0.0337272472679615,
0.031219227239489555,
-0.04637964442372322,
-0.06052936613559723,
0.04739033803343773,
-0.002720920369029045,
0.1364811807870865,
-0.03110692836344242,
0.03767644241452217,
-0.014842234551906586,
-0.00898395013064146,
-0.02152404747903347,
-0.023526718840003014,
-0.038893017917871475,
-0.03632884845137596,
0.05663631856441498,
-0.030994627624750137,
-0.007589566055685282,
0.07568977773189545,
-0.02745719812810421,
-0.005493311211466789,
-0.06213898956775665,
0.04214970022439957,
-0.021018700674176216,
0.007444513030350208,
0.015487955883145332,
-0.0034766015596687794,
0.008487961255013943,
0.05820851027965546,
-0.010818173177540302,
-0.05128338187932968,
-0.00478676101192832,
0.05918177217245102,
0.038818150758743286,
-0.014963892288506031,
0.002298627980053425,
-0.004040438216179609,
-0.0024167762603610754,
-0.019876990467309952,
-0.03267911821603775,
-0.0015604933723807335,
0.015918437391519547,
0.010818173177540302,
0.010818173177540302,
0.039454516023397446,
0.028767356649041176,
0.05394113436341286,
-0.004323525819927454,
0.023695169016718864,
-0.004134020768105984,
0.03702136129140854,
0.03198660537600517,
0.03226735442876816,
-0.008717238903045654,
0.023302121087908745,
-0.013026727363467216,
-0.045855578035116196,
0.008731276728212833,
0.016910415142774582,
0.022272709757089615,
0.05832080915570259,
0.03054543025791645,
0.03236093744635582,
0.03077002987265587,
-0.028748640790581703,
-0.07291972637176514,
0.04765236750245094,
-0.05674861744046211,
-0.003118647262454033,
0.022179126739501953,
0.03829408809542656,
-0.026708535850048065,
0.020232604816555977,
-0.004875664599239826,
-0.02451869659125805,
-0.027401048690080643,
-0.014159079641103745,
-0.06146519258618355,
0.054016001522541046,
-0.005123659037053585,
-0.0036146361380815506,
0.06973791122436523,
-0.0454438142478466,
0.04282349720597267,
0.03277270123362541,
0.04009087756276131,
-0.016713891178369522,
0.0005021303077228367,
0.032716553658246994,
0.04304809495806694,
0.04345985874533653,
0.06779138743877411,
0.005497990176081657,
-0.020868968218564987,
-0.015871645882725716,
0.06943845003843307,
-0.021187148988246918,
-0.04080210626125336,
-0.06936357915401459,
-0.0024471906945109367,
-0.011389028280973434,
0.006190503016114235,
0.010743306949734688,
0.02564169093966484,
0.06666839867830276,
-0.00767379067838192,
-0.043647024780511856,
-0.04922455921769142,
0.0021407068707048893,
-0.03348392993211746,
0.008810821920633316,
0.01214704941958189,
-0.027831528335809708,
-0.007669111713767052,
0.021018700674176216,
0.07179673761129379,
0.009975927881896496,
0.019446508958935738,
-0.0032847567927092314,
0.03964167833328247,
0.030601579695940018,
-0.022122977301478386,
-0.006415101699531078,
0.029721902683377266,
-0.01583421230316162,
-0.03885558620095253,
-0.023152388632297516,
0.042224567383527756,
0.007617641240358353,
-0.004618311766535044,
-0.02017645537853241,
-0.009798120707273483,
-0.004218245390802622,
-0.031069494783878326,
0.0013627997832372785,
-0.0134104173630476,
-0.006695850286632776,
-0.03687163069844246,
-0.06614433228969574,
-0.04005344584584236,
-0.045705847442150116,
0.007229272276163101,
-0.009021383710205555,
0.009554805234074593,
0.019876990467309952,
-0.0010680138366296887,
0.024574847891926765,
-0.039679113775491714,
-0.05105878412723541,
0.04428338631987572,
0.03133152797818184,
-0.022366292774677277,
0.047203171998262405,
0.040240611881017685,
-0.05102134868502617,
0.03483152389526367,
-0.10271649807691574,
0.057796746492385864,
-0.0038509326986968517,
0.019156401976943016,
0.022048110142350197,
-0.02532351016998291,
0.0002484331198502332,
0.06577000021934509,
-0.02959088608622551,
0.0026998640969395638,
-0.01238100603222847,
0.004134020768105984,
-0.02436896413564682,
-0.01666709966957569,
-0.03655344620347023,
-0.00009906617924571037,
-0.059780701994895935,
0.012989294715225697,
-0.003020385280251503,
-0.01725667156279087,
0.04076467454433441,
-0.011941167525947094,
-0.0011405405821278691,
-0.007369646802544594,
-0.036665745079517365,
-0.0006960221799090505,
-0.017930466681718826,
-0.006859620101749897,
0.005554140079766512,
-0.023938484489917755,
-0.0011358613846823573,
0.011501328088343143,
-0.013223251327872276,
-0.03441976010799408,
-0.044994618743658066,
0.05454006418585777,
0.0074819461442530155,
-0.07131010293960571,
-0.0065835509449243546,
-0.007004673592746258,
-0.02476201206445694,
-0.04462028667330742,
-0.024818161502480507,
0.0027934471145272255,
0.030339548364281654,
0.021224582567811012,
0.04716574028134346,
-0.006939165759831667,
0.05371653661131859,
-0.05386626720428467,
-0.04817643389105797,
0.008866971358656883,
0.006761358119547367,
-0.0001722508604871109,
-0.03378339484333992,
-0.020681802183389664,
0.010949188843369484,
0.022983938455581665,
0.035336870700120926,
-0.03320318087935448,
-0.003153740894049406,
-0.005151733756065369,
0.01674196496605873,
-0.07160957157611847,
0.011894376017153263,
0.03178072348237038,
-0.014842234551906586,
0.03685291111469269,
0.052668407559394836,
-0.01399998925626278,
-0.0019067497923970222,
-0.03735825791954994,
0.02625933848321438,
-0.05278070643544197,
-0.04121387004852295,
-0.029478587210178375,
0.01254009734839201,
-0.02586629055440426,
-0.01020052656531334,
0.005905075464397669,
-0.026540085673332214,
-0.004931814502924681,
0.02755078114569187,
-0.02579142339527607,
-0.003481280757114291,
0.011098922230303288,
0.02571655809879303,
-0.02032618783414364,
-0.003076534951105714,
0.0010650893673300743,
0.02294650673866272,
0.001050467137247324,
0.050834186375141144,
-0.05974327027797699,
0.03005879931151867,
0.046566806733608246,
-0.055438458919525146,
0.019970573484897614,
-0.000690758170094341,
-0.007201197557151318,
-0.004028740338981152,
-0.010088227689266205,
-0.011613626964390278,
-0.023058805614709854,
0.029721902683377266,
-0.03773258998990059,
-0.06809085607528687,
0.008628335781395435,
0.027401048690080643,
0.016657741740345955,
0.042598895728588104,
0.011155071668326855,
0.01937164179980755,
0.06165235862135887,
-0.01701335608959198,
-0.025735273957252502,
0.017612285912036896,
-0.07602667808532715,
-0.015647046267986298,
-0.056224554777145386,
0.06445984542369843,
0.03814435377717018,
0.017219237983226776,
-0.002238968852907419,
0.031163077801465988,
0.01044384203851223,
0.02034490369260311,
0.051957178860902786,
0.017247311770915985,
-0.013513358309864998,
0.034288741648197174,
0.009241302497684956,
-0.04196253418922424,
-0.023152388632297516,
-0.0333903469145298,
0.011632343754172325,
-0.016610950231552124,
0.005802134517580271,
0.03376467898488045,
0.05585022270679474,
-0.0433475598692894,
-0.02088768407702446,
0.04836359992623329,
0.008726597763597965,
-0.06397321075201035,
-0.025828856974840164,
-0.04170050099492073,
0.03434489294886589,
-0.016114961355924606,
0.060417063534259796,
0.050684452056884766,
0.021786078810691833,
0.04566841199994087,
0.021617630496621132,
-0.02144918031990528,
0.03294115141034126,
0.04297322779893875,
-0.017911750823259354,
0.022441158071160316,
-0.02848660945892334,
-0.0067145670764148235,
-0.01660159043967724,
0.02476201206445694,
0.016292767599225044,
-0.014542769640684128,
-0.00372927519492805,
0.06674326211214066,
0.01369116548448801,
-0.05379140004515648,
0.010481275618076324,
-0.030040083453059196,
0.01995185576379299,
0.03267911821603775,
0.04413365572690964,
-0.004777402617037296,
-0.0023676452692598104,
-0.031462542712688446,
0.005109621677547693,
0.053753968328237534,
-0.015806136652827263,
0.0307138804346323,
-0.0333903469145298,
-0.03994114696979523,
-0.01924062706530094,
0.012137691490352154,
0.0027981260791420937,
0.011566835455596447,
-0.010453199967741966,
0.0004837061860598624,
-0.03808820620179176,
-0.009100928902626038,
-0.03979141265153885,
0.047128304839134216,
-0.03597323223948479,
-0.00390942208468914,
0.003310492029413581,
-0.007851597853004932,
0.04218713194131851,
-0.03434489294886589,
0.016367634758353233,
-0.03814435377717018,
-0.054951827973127365,
0.03078874573111534,
-0.007636357564479113,
-0.012296781875193119,
-0.011267370544373989,
0.01735961250960827,
-0.08834217488765717,
-0.020775385200977325,
-0.01654544100165367,
0.012830203399062157,
0.07539031654596329,
-0.07875929772853851,
-0.01666709966957569,
0.02721388265490532,
0.0030086874030530453,
0.003401735331863165,
0.0006533249979838729,
-0.09702666103839874,
-0.05719781666994095,
0.0007568509900011122,
0.03717109560966492,
0.01821121573448181,
0.02199196070432663,
0.02863634191453457,
0.017219237983226776,
-0.0166951734572649,
0.0607539638876915,
0.007963897660374641,
0.02412564866244793,
-0.04263633117079735,
-0.0009106777724809945,
-0.027026716619729996,
-0.013868972659111023,
-0.02927270345389843,
-0.0003038517024833709,
-0.023882335051894188,
-0.01772458478808403,
-0.05132081359624863,
0.04952402412891388,
-0.0422619991004467,
0.019278060644865036,
-0.028505325317382812,
0.007991972379386425,
0.0379946231842041,
0.021636346355080605,
0.02066308632493019,
-0.01516041625291109,
0.0032707194332033396,
-0.0536416694521904,
0.009994644671678543,
0.00005724636139348149,
-0.004288432653993368,
-0.005030076485127211,
-0.002531415084376931,
-0.055176425725221634,
0.029965216293931007,
0.009260019287467003,
-0.005203204695135355,
0.022983938455581665,
-0.009741971269249916,
-0.01519784890115261,
0.053304772824048996,
-0.036590881645679474,
-0.011491969227790833,
-0.045144349336624146,
0.04177536815404892,
0.0639357790350914,
-0.038893017917871475,
0.06281278282403946,
-0.005984621122479439,
-0.0065320804715156555,
0.03062029741704464,
0.03922991454601288,
-0.016807474195957184,
0.009269378148019314,
-0.006153069902211428,
0.006644379813224077,
0.009409751743078232,
-0.017387686297297478,
-0.0379946231842041,
-0.047352902591228485,
0.015675121918320656,
0.016217902302742004,
0.029010672122240067,
-0.013176459819078445,
-0.016872981563210487,
0.003310492029413581,
-0.04754006862640381,
0.022834205999970436,
0.0145614854991436,
0.018098916858434677,
-0.023994633927941322,
-0.029235271736979485,
0.010331543162465096,
0.005437161307781935,
0.0031935134902596474,
-0.03893044963479042,
0.00865173153579235,
0.006321519147604704,
-0.012643038295209408,
0.007758015301078558,
0.01258688885718584,
0.03322190046310425,
-0.005151733756065369,
0.010069510899484158,
-0.016751322895288467,
0.022852923721075058,
0.04993578791618347,
0.01428073737770319,
-0.02880479022860527,
-0.0034766015596687794,
-0.03552403673529625,
0.0087874261662364,
-0.04750263690948486,
0.003970250952988863,
0.015282073989510536,
0.008413095027208328,
-0.045705847442150116,
-0.010331543162465096,
0.02223527617752552,
0.041176438331604004,
-0.0451069176197052,
-0.005643043667078018,
0.007697186432778835,
-0.006592909339815378,
-0.04106413945555687,
0.0015218905173242092,
-0.023882335051894188,
0.04375932365655899,
-0.008085555396974087,
0.0030461205169558525,
0.05042241886258125,
-0.014262020587921143,
-0.038818150758743286,
-0.057946477085351944,
-0.029871635138988495,
0.02642778679728508,
-0.01840773969888687,
0.06839031726121902,
-0.08998923748731613,
0.043946489691734314,
-0.004496654029935598,
0.02856147475540638,
0.05251867696642876,
-0.03368981182575226,
-0.037152376025915146,
0.011183146387338638,
0.0007235121447592974,
0.030639013275504112,
0.005680476780980825,
0.009400393813848495,
-0.013663090765476227,
0.0348128080368042,
-0.022534741088747978,
0.027401048690080643,
-0.013943838886916637,
0.02238500863313675,
0.022965222597122192,
-0.0006077034049667418,
0.0030905725434422493,
0.04263633117079735,
-0.010762023739516735,
0.06513363867998123,
-0.0028566154651343822,
0.026371637359261513,
0.021823512390255928,
0.019128328189253807,
-0.017125654965639114,
-0.037302110344171524,
-0.052181776612997055,
-0.01214704941958189,
-0.040390342473983765,
-0.00913368258625269,
-0.015263357199728489,
0.012259348295629025,
-0.013578866608440876,
0.0038673097733408213,
0.06356144696474075,
0.018594905734062195,
-0.019352925941348076,
-0.030021367594599724,
0.005619647912681103,
-0.008829538710415363,
0.041176438331604004,
-0.015300789847970009,
0.0007697186665609479,
0.004073191899806261,
0.01907217688858509,
0.026390353217720985,
0.006766037549823523,
-0.03915505111217499,
0.038893017917871475,
-0.0019044103100895882,
0.04754006862640381,
0.004211226478219032,
-0.02317110449075699,
0.017818167805671692,
-0.03836895525455475,
0.04611761122941971,
0.0036146361380815506,
0.02105613239109516,
0.014168438501656055,
0.026876984164118767,
-0.007205876521766186,
0.006372989621013403,
0.00022430630633607507,
0.021093565970659256,
0.037227243185043335,
0.0255668256431818,
0.026315487921237946,
0.026858268305659294,
-0.06824059039354324,
-0.04563098028302193,
0.026633668690919876,
0.02098126709461212,
-0.01218448206782341,
-0.005142375826835632,
0.01637699268758297,
-0.0356924869120121,
-0.06457214057445526,
-0.037395693361759186,
-0.02936628647148609,
0.03795718774199486,
-0.00021231600840110332,
0.019156401976943016,
-0.007028069347143173,
-0.01586228795349598,
0.06947588175535202,
-0.06008016690611839,
0.00020500484970398247,
-0.018454531207680702,
-0.012259348295629025,
-0.0017886015120893717,
0.0009346583392471075,
-0.018697846680879593,
-0.005591573193669319,
-0.027176449075341225,
-0.030919762328267097,
-0.04005344584584236,
-0.025286076590418816,
-0.028823506087064743,
-0.005259354133158922,
-0.021655064076185226,
0.003537430427968502,
0.05038498714566231,
0.024069499224424362,
0.009648388251662254,
0.021954528987407684,
-0.01052806619554758,
-0.009985286742448807,
0.008006010204553604,
0.01725667156279087,
0.0004977436037734151,
0.030507996678352356,
-0.04057750850915909,
0.037863608449697495,
0.0026530728209763765,
-0.024163082242012024,
-0.026371637359261513,
0.010743306949734688,
-0.03756414353847504,
0.024406397715210915,
0.04170050099492073,
-0.023601585999131203,
0.0061998614110052586,
0.016479933634400368,
0.03464435786008835,
0.03767644241452217,
-0.039117615669965744,
-0.008675127290189266,
0.014580202288925648,
-0.03520585596561432,
-0.006747320760041475,
-0.0145614854991436,
0.016086885705590248,
0.01218448206782341,
-0.006190503016114235,
0.023376986384391785,
-0.0035046765115112066,
-0.04495718330144882,
0.00478676101192832,
-0.031219227239489555,
-0.013915764167904854,
0.010135019198060036,
-0.011220579035580158,
0.032791417092084885,
0.014786085113883018,
0.055026695132255554,
-0.009751329198479652,
0.013532075099647045,
0.02034490369260311,
-0.07224593311548233,
0.03260425105690956,
0.004856948275119066,
-0.08055608719587326,
0.04667910933494568,
-0.004038098268210888,
0.0018810145556926727,
-0.019914422184228897,
-0.0204197708517313,
-0.011782076209783554,
0.029534736648201942,
-0.047614935785532,
0.01677004061639309,
0.012652396224439144,
0.026128321886062622,
-0.018772711977362633,
0.038668420165777206,
0.010995980352163315,
-0.04203740134835243,
0.02801869437098503,
-0.022534741088747978,
0.060491930693387985,
-0.0055822147987782955,
-0.012989294715225697,
0.005745984613895416,
0.03689034655690193,
-0.04297322779893875,
-0.06124059483408928,
0.03586093336343765,
-0.03131280839443207,
0.013204535469412804,
0.0022611948661506176,
-0.008225928992033005,
0.001144049922004342,
0.03561761975288391,
0.039454516023397446,
-0.011679135262966156,
-0.01686362363398075,
0.0034274705685675144,
-0.006256011314690113,
-0.014383678324520588,
0.009872986935079098,
-0.008239966817200184,
0.05925663933157921,
0.018538756296038628,
-0.0051985252648591995,
0.0376577228307724,
-0.027737945318222046,
-0.019184477627277374,
0.016236618161201477,
-0.003401735331863165,
-0.004110625013709068,
0.013344909064471722,
-0.028224576264619827,
-0.007393042556941509,
0.019895706325769424,
-0.03926734998822212,
-0.0012563492637127638,
0.01706014759838581,
-0.01708822138607502,
0.02206682786345482,
-0.01907217688858509,
-0.018183140084147453,
0.02785024605691433,
-0.05259354040026665,
-0.04922455921769142,
-0.01760292798280716,
-0.01301736943423748,
-0.02333955466747284,
0.02451869659125805,
-0.02927270345389843,
-0.06090369448065758,
-0.02642778679728508,
-0.07044914364814758,
-0.017743302509188652,
0.02872992493212223,
0.030639013275504112,
-0.003780745668336749,
-0.04888766258955002,
0.016910415142774582,
0.016554800793528557,
-0.0055307443253695965,
-0.041663069278001785,
-0.011744643561542034,
0.035636335611343384,
0.006798791233450174,
-0.02405078336596489,
-0.023227253928780556,
0.008684485219419003,
-0.0007960388320498168,
-0.03949194774031639,
-0.023208538070321083,
0.00477974209934473,
-0.03930478170514107,
-0.01779945194721222,
-0.033128317445516586,
-0.033521365374326706,
0.00422292435541749,
0.020775385200977325,
0.04218713194131851,
0.05989300087094307,
0.024181799963116646,
0.037058793008327484,
0.009517372585833073,
0.03687163069844246,
0.020475920289754868,
0.020700518041849136,
0.028449175879359245,
-0.03236093744635582,
-0.0038883660454303026,
-0.0012715564807876945,
-0.02002672292292118,
-0.032885000109672546,
0.0021910076029598713,
-0.011342236772179604,
-0.016339559108018875,
-0.0028519362676888704,
-0.03170585632324219,
0.011389028280973434,
-0.009578200988471508,
0.0013475925661623478,
-0.0593315027654171,
0.03599195182323456,
-0.012830203399062157,
-0.018295440822839737,
0.02302137203514576,
-0.003942176233977079,
0.023545436561107635,
-0.03919248282909393,
0.0422619991004467,
0.007580208126455545,
0.011679135262966156,
0.007809485774487257,
0.0348128080368042,
0.005699193570762873,
0.0023816826287657022,
-0.03376467898488045,
0.03561761975288391,
-0.019062818959355354,
0.015647046267986298,
-0.0018236951436847448,
0.011594911105930805,
-0.006087562069296837,
0.021804796531796455,
-0.004917776677757502,
-0.02373260259628296,
0.0017032072646543384,
0.005605610553175211,
-0.0015031739603728056,
0.009260019287467003,
-0.04739033803343773,
0.004765704739838839,
0.0027957865968346596,
0.05626198649406433,
0.006817508023232222,
-0.0004816590517293662,
0.011641701683402061,
0.06532080471515656,
0.00894651748239994,
0.012016033753752708,
-0.027513347566127777,
0.044358253479003906,
0.006223257165402174,
0.013822182081639767,
-0.0030578183941543102,
-0.00981683749705553,
-0.04660424217581749,
0.006780074909329414,
-0.02944115363061428,
-0.016835547983646393,
0.017219237983226776,
0.03361494839191437,
0.043235260993242264,
-0.009236623533070087,
-0.04256146401166916,
0.016919773072004318,
-0.005338899791240692,
0.000431065825978294,
-0.02706415019929409,
-0.002058821963146329,
0.037863608449697495,
-0.030732596293091774,
0.04634220898151398,
-0.009629671461880207,
0.015600254759192467,
-0.022253993898630142,
0.05753471329808235,
-0.005652402061969042,
0.018856937065720558,
0.012287423945963383,
-0.030021367594599724,
0.008647051639854908,
-0.014486619271337986,
0.033970560878515244,
-0.011342236772179604,
0.042935796082019806,
0.017340894788503647,
0.007603603880852461,
-0.007009353023022413,
-0.02959088608622551,
-0.0019804462790489197,
-0.005165771581232548,
-0.03037698194384575,
0.0045832181349396706,
0.04907482862472534,
-0.034681789577007294,
-0.008455207571387291,
0.002676468575373292,
0.005647722631692886,
-0.013073518872261047,
0.04768980294466019,
-0.03402671217918396,
-0.004679140634834766,
-0.030245965346693993,
0.003305812831968069,
-0.04267376288771629,
-0.04495718330144882,
-0.06161492317914963,
0.001245821244083345,
-0.023433135822415352,
-0.02515505999326706,
-0.010771381668746471,
0.01238100603222847,
-0.0017207539640367031,
0.014336886815726757,
0.00965774618089199,
-0.01890372857451439,
0.009072854183614254,
-0.009592238813638687,
0.02522992715239525,
0.0013604601845145226,
0.013419775292277336,
0.03355879709124565,
-0.019427793100476265,
-0.01787431724369526,
0.05023525655269623,
0.0003211060247849673,
-0.0259411558508873,
0.013316834345459938,
0.006321519147604704,
0.008385020308196545,
0.004283753223717213,
0.003018045797944069,
-0.03851868584752083,
-0.006176465656608343,
-0.02365773543715477,
-0.0059144338592886925,
-0.010715232230722904,
0.025997305288910866,
-0.02974061854183674,
-0.005076867528259754,
0.004192510154098272,
0.048064135015010834,
-0.04851333051919937,
0.01583421230316162,
0.08901597559452057,
0.0031818156130611897,
-0.018622979521751404,
0.06779138743877411,
0.03380211070179939,
0.03728339448571205,
0.005067509599030018,
0.0024986611679196358,
0.006728604435920715,
-0.0405026413500309,
-0.026090888306498528,
0.002929141977801919,
0.008155742660164833,
-0.014318170957267284,
0.029609601944684982,
0.00961095467209816,
0.014786085113883018,
-0.04754006862640381
] |
Assessing the quality of movements for post-stroke patients during the
rehabilitation phase is vital given that there is no standard stroke
rehabilitation plan for all the patients. In fact, it depends basically on the
patient's functional independence and its progress along the rehabilitation
sessions. To tackle this challenge and make neurorehabilitation more agile, we
propose an automatic assessment pipeline that starts by recognizing patients'
movements by means of a shallow deep learning architecture, then measuring the
movement quality using jerk measure and related measures. A particularity of
this work is that the dataset used is clinically relevant, since it represents
movements inspired from Fugl-Meyer a well common upper-limb clinical stroke
assessment scale for stroke patients. We show that it is possible to detect the
contrast between healthy and patients movements in terms of smoothness, besides
achieving conclusions about the patients' progress during the rehabilitation
sessions that correspond to the clinicians' findings about each case. | [
-0.013818446546792984,
0.039313092827796936,
-0.022097934037446976,
-0.049638330936431885,
-0.016838818788528442,
-0.0354531928896904,
-0.0006531676626764238,
0.025456048548221588,
-0.053652629256248474,
-0.0021301829256117344,
0.03203717991709709,
-0.032886359840631485,
0.027636893093585968,
-0.020689070224761963,
0.011039317585527897,
0.02398928627371788,
-0.013056116178631783,
-0.004793514963239431,
0.0028418523725122213,
-0.06920803338289261,
-0.011406008154153824,
-0.004212117288261652,
-0.041957125067710876,
0.012399932369589806,
0.014580776914954185,
0.020264482125639915,
0.035163700580596924,
0.021055761724710464,
-0.052378859370946884,
0.033002156764268875,
0.025649044662714005,
0.017244108021259308,
-0.02742459811270237,
-0.04612582176923752,
0.0023267967626452446,
-0.038386717438697815,
0.04388707876205444,
0.04797857254743576,
-0.01003574300557375,
0.024703368544578552,
0.03385133296251297,
0.003678968409076333,
-0.01761079952120781,
0.007044319994747639,
0.028601868078112602,
-0.04261330887675285,
-0.030358122661709785,
0.0004936452023684978,
0.007526807487010956,
0.05654755234718323,
0.06488493829965591,
-0.01645282842218876,
0.004856238141655922,
-0.013114014640450478,
-0.01898106373846531,
0.019685495644807816,
0.08615299314260483,
-0.0030541468877345324,
0.06716228276491165,
-0.01681951992213726,
0.005481059662997723,
-0.005283239763230085,
-0.034835610538721085,
-0.0018780832178890705,
0.011791998520493507,
-0.06998001039028168,
0.01985919289290905,
-0.008848823606967926,
-0.01688706874847412,
0.07627164572477341,
-0.045160844922065735,
-0.0009155203588306904,
-0.024819165468215942,
-0.01475447230041027,
-0.024857765063643456,
0.012419232167303562,
0.014657975174486637,
0.05631595849990845,
-0.01417548768222332,
0.011830597184598446,
0.03886920586228371,
0.058593302965164185,
-0.03566548600792885,
-0.015565051697194576,
0.08707937598228455,
0.0015596413286402822,
0.03477771207690239,
-0.07152397185564041,
0.03120730258524418,
0.01055683009326458,
-0.05785991996526718,
0.04454325884580612,
0.01331665925681591,
0.032307375222444534,
0.009442283771932125,
-0.02364189550280571,
0.0031554691959172487,
-0.008593104779720306,
-0.006344712805002928,
-0.017523951828479767,
0.04249751195311546,
-0.014243035577237606,
-0.0012200906639918685,
0.0018913516541942954,
0.039988577365875244,
-0.04408007115125656,
-0.028157979249954224,
-0.008168515749275684,
0.018566126003861427,
0.14088639616966248,
-0.06519373506307602,
-0.0053652627393603325,
0.03290565684437752,
-0.04199572652578354,
-0.03053181990981102,
-0.050564706325531006,
-0.04388707876205444,
-0.027289502322673798,
0.018903866410255432,
-0.00221582455560565,
0.04535384103655815,
0.06337957829236984,
-0.05654755234718323,
0.06920803338289261,
-0.03967978432774544,
0.06206721067428589,
-0.017967840656638145,
0.06646750122308731,
-0.02786848694086075,
0.019666196778416634,
0.023448899388313293,
-0.01888456754386425,
-0.009085242636501789,
0.02124875597655773,
0.0350286029279232,
-0.00643156049773097,
0.00874750129878521,
0.0254946481436491,
0.01600893959403038,
0.03834811970591545,
0.022754117846488953,
-0.07959116250276566,
0.0011459081433713436,
0.038058627396821976,
0.042883504182100296,
0.004057721234858036,
-0.009702826850116253,
0.058014314621686935,
-0.024606870487332344,
-0.022059336304664612,
-0.041030749678611755,
0.03649536520242691,
0.00365966884419322,
0.03705505281686783,
0.08044034242630005,
0.0009625628590583801,
-0.02466476894915104,
-0.013210511766374111,
0.000012966856047569308,
-0.05577557161450386,
0.02559114620089531,
-0.01997498981654644,
0.0008781275246292353,
0.05712653696537018,
0.005490709561854601,
0.007232489995658398,
-0.040914952754974365,
0.03030022419989109,
-0.006552182603627443,
0.03742174431681633,
-0.05037171021103859,
-0.01342280674725771,
-0.0025933710858225822,
0.017649399116635323,
0.0013569965958595276,
0.03444961830973625,
0.05519658699631691,
-0.007468909025192261,
-0.1063016802072525,
-0.019820593297481537,
-0.029122954234480858,
0.028968559578061104,
-0.030010731890797615,
-0.006624555680900812,
0.07507508248090744,
-0.015063264407217503,
0.0688992366194725,
-0.014243035577237606,
0.0358198843896389,
-0.03134239837527275,
0.010296287015080452,
0.004757328424602747,
0.03854111582040787,
-0.021615447476506233,
-0.029315950348973274,
-0.013297359459102154,
0.01308506540954113,
-0.007618479896336794,
-0.008182990364730358,
0.005172267556190491,
0.0009155203588306904,
-0.061218034476041794,
-0.015902793034911156,
0.010769124142825603,
-0.0007002102211117744,
-0.021866340190172195,
0.006923697888851166,
-0.08267908543348312,
0.020225882530212402,
-0.050448909401893616,
-0.04249751195311546,
0.02730880118906498,
-0.03375483676791191,
0.0034232500474900007,
0.0007213190547190607,
-0.03213367983698845,
-0.01044103316962719,
0.008916371501982212,
0.009519481100142002,
-0.03410222753882408,
0.0014679686864838004,
-0.004482310265302658,
0.013384208083152771,
0.020476777106523514,
-0.0759628564119339,
-0.022233031690120697,
0.016327382996678352,
0.013461405411362648,
0.003428074764087796,
0.014889569021761417,
-0.023101508617401123,
-0.010354185476899147,
0.03217227756977081,
0.03143889456987381,
-0.02765619195997715,
0.016645824536681175,
0.002923875115811825,
0.0044847228564321995,
-0.06106363981962204,
0.016732672229409218,
-0.0013859458267688751,
0.013258760794997215,
-0.047669779509305954,
0.04662760719656944,
0.0015680849319323897,
0.021634746342897415,
-0.01964689791202545,
0.0690150335431099,
-0.008250539191067219,
-0.0021651634015142918,
-0.037595439702272415,
-0.013799146749079227,
-0.021654045209288597,
0.0001337395515292883,
-0.02526305429637432,
0.04118514806032181,
0.02236812748014927,
-0.03427592292428017,
0.03398643061518669,
0.00683202501386404,
0.044581860303878784,
-0.008043069392442703,
-0.002824965165928006,
0.006976771634072065,
-0.047360990196466446,
-0.005674054846167564,
0.041725531220436096,
0.0362444743514061,
0.01112616527825594,
-0.056856345385313034,
-0.04029737040400505,
-0.0037030926905572414,
0.030242325738072395,
-0.030589718371629715,
0.0022146182600408792,
-0.045508235692977905,
0.05268765240907669,
-0.03053181990981102,
0.06488493829965591,
0.002233917824923992,
-0.0525718554854393,
-0.005370087455958128,
0.036205872893333435,
0.03261616453528404,
-0.0194635521620512,
-0.03744104132056236,
-0.03489350900053978,
-0.00012303434778004885,
-0.07198715955018997,
-0.000013758437489741482,
-0.026092931628227234,
-0.01475447230041027,
-0.014696573838591576,
0.000597078469581902,
0.018710872158408165,
-0.0038309521041810513,
-0.020515374839305878,
0.012457831762731075,
0.013075415976345539,
0.011338460259139538,
-0.03454611450433731,
0.002574071753770113,
0.005659580230712891,
-0.02431737817823887,
0.029084356501698494,
-0.033446043729782104,
0.055042192339897156,
0.025649044662714005,
-0.041378140449523926,
-0.03979558125138283,
0.03365834057331085,
0.03132309764623642,
-0.03064761683344841,
-0.028157979249954224,
-0.00969800166785717,
0.01486061979085207,
0.040567561984062195,
0.024047184735536575,
0.014667624607682228,
-0.0019950864370912313,
0.029315950348973274,
-0.009611153975129128,
-0.005823626182973385,
0.020804867148399353,
0.017639748752117157,
-0.06828165054321289,
0.003095158375799656,
-0.009070768021047115,
-0.029528245329856873,
-0.03294425830245018,
0.028949258849024773,
0.0010391577379778028,
-0.0218084417283535,
-0.033098652958869934,
-0.016182636842131615,
0.03296355530619621,
-0.0018479276914149523,
-0.02387348935008049,
0.004921373911201954,
-0.01686776801943779,
0.025282353162765503,
-0.015526453033089638,
-0.02547534927725792,
0.007357936818152666,
0.018730171024799347,
-0.01969514600932598,
0.006277164444327354,
0.050564706325531006,
0.020746968686580658,
-0.01716691069304943,
0.0010524261742830276,
-0.054231613874435425,
-0.03676556050777435,
-0.020959263667464256,
-0.037807732820510864,
-0.01865297369658947,
0.03224947676062584,
-0.015999291092157364,
0.01365440059453249,
-0.008453183807432652,
-0.015130813233554363,
-0.045508235692977905,
-0.02055397443473339,
0.03485490754246712,
-0.0028153154999017715,
-0.040142972022295,
-0.03306005522608757,
-0.017668697983026505,
0.04002717509865761,
0.01932845637202263,
-0.04431166499853134,
-0.026092931628227234,
0.02479986473917961,
-0.00897909514605999,
-0.032982856035232544,
-0.036553263664245605,
-0.05210866779088974,
-0.00950018223375082,
-0.07183276116847992,
0.058361705392599106,
-0.06557971984148026,
0.02489636279642582,
-0.015835244208574295,
0.033214449882507324,
-0.019781993702054024,
0.048364561051130295,
0.005982846952974796,
0.04269050806760788,
-0.00365966884419322,
0.01177269872277975,
0.005191567353904247,
0.017176561057567596,
-0.01549750380218029,
-0.01633703149855137,
0.008699252270162106,
0.016501078382134438,
0.0035149226896464825,
0.022213730961084366,
0.019666196778416634,
0.00909489206969738,
-0.04095355421304703,
-0.026131531223654747,
-0.030242325738072395,
0.00120621919631958,
0.0004083051753696054,
0.006590781267732382,
-0.013104365207254887,
0.025456048548221588,
0.01198499370366335,
-0.01142530795186758,
-0.03122660145163536,
-0.011213012970983982,
0.024606870487332344,
-0.017784494906663895,
-0.0071166930720210075,
-0.02914225496351719,
0.004873125348240137,
-0.004656006116420031,
-0.022812016308307648,
-0.07843319326639175,
-0.026556121185421944,
0.04052896425127983,
0.003794765332713723,
0.010363834910094738,
-0.07055899500846863,
0.056508954614400864,
-0.022696219384670258,
-0.01951180025935173,
0.03327234834432602,
-0.05693354457616806,
0.006942997220903635,
-0.03637956827878952,
0.017186209559440613,
-0.0025764841120690107,
0.015651900321245193,
-0.020939964801073074,
0.0459328256547451,
-0.012264836579561234,
-0.056856345385313034,
0.010508581064641476,
0.018054688349366188,
0.02009078674018383,
0.02192423865199089,
-0.01630808226764202,
-0.007237314712256193,
0.0021362141706049442,
0.06106363981962204,
0.01085597276687622,
-0.024587571620941162,
-0.02283131517469883,
-0.04566263034939766,
0.06978701800107956,
0.009866872802376747,
-0.02420158125460148,
-0.0019251257181167603,
-0.008091318421065807,
-0.008535206317901611,
-0.05554397776722908,
0.0200714860111475,
-0.09093927592039108,
-0.04408007115125656,
0.034160126000642776,
0.061912816017866135,
-0.0023147345054894686,
0.02580343931913376,
-0.01319121289998293,
-0.045971423387527466,
-0.06530953198671341,
0.006021446082741022,
0.05345963314175606,
-0.03728664666414261,
-0.04226591810584068,
-0.09595714509487152,
-0.01296926848590374,
0.023738393560051918,
0.008245714008808136,
0.006441210396587849,
-0.0307634137570858,
0.017504652962088585,
-0.010875271633267403,
0.025436749681830406,
-0.006894748657941818,
0.01953110098838806,
-0.0008919990505091846,
-0.035047903656959534,
-0.01723445951938629,
0.08368265628814697,
0.014908868819475174,
-0.015449254773557186,
-0.0451994426548481,
0.003654843894764781,
-0.05087349936366081,
-0.024587571620941162,
0.008052718825638294,
-0.00159220932982862,
-0.04238171502947807,
-0.057087939232587814,
-0.011869196780025959,
0.06689208745956421,
-0.01633703149855137,
0.03888850659132004,
-0.043616883456707,
-0.01566154882311821,
0.03145819529891014,
-0.01579664647579193,
0.05635455995798111,
0.008158866316080093,
-0.0002242059854324907,
-0.001431782147847116,
-0.0018322468968108296,
0.0759628564119339,
0.00045203062472864985,
-0.020515374839305878,
-0.03742174431681633,
-0.022676920518279076,
0.004711491987109184,
0.011077916249632835,
-0.004342388827353716,
0.038753408938646317,
0.013750898651778698,
0.011367409490048885,
0.010296287015080452,
-0.021634746342897415,
0.0068802740424871445,
-0.05245605856180191,
0.04106935113668442,
-0.012998217716813087,
-0.03427592292428017,
0.021075060591101646,
0.00028029517852701247,
-0.03674625977873802,
0.023776991292834282,
-0.0013087478000670671,
-0.012592927552759647,
0.008284312672913074,
0.010238388553261757,
-0.04176413267850876,
0.04222732037305832,
-0.033696938306093216,
-0.026228029280900955,
-0.006426735781133175,
0.06577271968126297,
-0.023834889754652977,
-0.011753398925065994,
-0.07885777950286865,
0.04338528960943222,
0.003005898091942072,
-0.03327234834432602,
0.018016088753938675,
0.004783865064382553,
-0.040335968136787415,
-0.002979361219331622,
0.027366699650883675,
0.03857971355319023,
-0.02721230313181877,
0.008511082269251347,
-0.04805577173829079,
-0.024587571620941162,
-0.028061483055353165,
-0.006870624143630266,
-0.017852043733000755,
-0.054694801568984985,
0.004923786502331495,
0.007546106819063425,
0.044581860303878784,
-0.03028092533349991,
-0.06696929037570953,
0.06708508729934692,
0.004325502086430788,
0.05558257922530174,
-0.00958220474421978,
-0.0413009449839592,
-0.000690560438670218,
-0.028408873826265335,
0.03894640505313873,
-0.009418158791959286,
0.015642249956727028,
-0.008327736519277096,
0.025996435433626175,
0.05029451474547386,
-0.010489281266927719,
0.007705328054726124,
0.0163563322275877,
0.019251257181167603,
-0.018662622198462486,
0.023352403193712234,
0.015690498054027557,
-0.0397183857858181,
0.004549858625978231,
0.02997213415801525,
0.0012942731846123934,
0.03869551047682762,
0.024992860853672028,
-0.011608652770519257,
-0.061333831399679184,
0.007710152771323919,
0.00725661450996995,
0.019135460257530212,
-0.024471774697303772,
-0.04234311729669571,
-0.015507153235375881,
0.04465905949473381,
0.02651752158999443,
0.05071910098195076,
0.0023919325321912766,
0.013693000189960003,
0.023024311289191246,
-0.009784849360585213,
-0.018431028351187706,
0.0034859732259064913,
0.03510580211877823,
-0.03672695904970169,
0.05125948786735535,
0.007632954977452755,
0.022985711693763733,
0.004214529879391193,
0.05608436465263367,
0.012457831762731075,
-0.009818623773753643,
-0.012206938117742538,
0.010392784141004086,
0.02572624199092388,
0.059056490659713745,
-0.015835244208574295,
0.02572624199092388,
0.02526305429637432,
-0.0063109383918344975,
-0.019762694835662842,
-0.0006199966301210225,
-0.01286312099546194,
-0.009336136281490326,
-0.01519836112856865,
0.005886349361389875,
-0.01964689791202545,
-0.02489636279642582,
0.025185855105519295,
-0.022657619789242744,
0.009022518992424011,
-0.016549326479434967,
0.00840011052787304,
-0.022541822865605354,
0.04612582176923752,
-0.04971553012728691,
0.00754128210246563,
-0.005582382436841726,
-0.0019613122567534447,
-0.0028997508343309164,
0.03255826607346535,
0.051799874752759933,
0.01691601797938347,
0.00020671580568887293,
0.026073632761836052,
0.024606870487332344,
0.02858256921172142,
-0.032654765993356705,
-0.01939600333571434,
0.0161440372467041,
0.00765707902610302,
0.006040745414793491,
-0.027810588479042053,
0.040914952754974365,
0.010180489160120487,
0.02535955049097538,
-0.0003283931582700461,
0.020862765610218048,
0.022194432094693184,
0.015372056514024734,
0.017321307212114334,
-0.0048851873725652695,
0.012129739858210087,
-0.02698070928454399,
-0.09147965908050537,
-0.013943892903625965,
0.01703181490302086,
0.02869836613535881,
0.013451755978167057,
-0.005664404947310686,
-0.004759740550071001,
0.013876345008611679,
0.0022254742216318846,
0.016964266076683998,
-0.02823517844080925,
0.027250902727246284,
-0.007907972671091557,
-0.016732672229409218,
0.00743513461202383,
0.044813454151153564,
0.00743513461202383,
-0.014657975174486637,
-0.04932953789830208,
-0.04523804411292076,
-0.03915869817137718,
-0.003358114045113325,
0.01509221363812685,
0.05060330405831337,
-0.02582274004817009,
-0.013799146749079227,
-0.025533247739076614,
0.0619514137506485,
0.0011640015291050076,
-0.024703368544578552,
-0.026768416166305542,
-0.021654045209288597,
0.019405653700232506,
0.06677629053592682,
0.02466476894915104,
0.006595606449991465,
0.01814153604209423,
-0.02424018085002899,
-0.026305226609110832,
0.0005141508881933987,
0.029528245329856873,
-0.012525379657745361,
0.03991137817502022,
0.020592574030160904,
0.015130813233554363,
-0.039872780442237854,
-0.030010731890797615,
-0.03715154901146889,
0.04369408264756203,
-0.007613655179738998,
0.024278778582811356,
0.014136888086795807,
-0.068590447306633,
-0.017302008345723152,
0.03244246914982796,
-0.011434957385063171,
-0.03894640505313873,
-0.033002156764268875,
0.007579881232231855,
0.040142972022295,
-0.07403290271759033,
-0.01055683009326458,
0.014677274972200394,
-0.0010270955972373486,
-0.012071841396391392,
0.01531415805220604,
0.032886359840631485,
0.0005744618829339743,
0.018045037984848022,
-0.01033488567918539,
-0.034661915153265,
0.0030010731425136328,
-0.017948541790246964,
-0.021615447476506233,
-0.05152968317270279,
0.000012420287930581253,
-0.00703467009589076,
-0.01607648842036724,
-0.01566154882311821,
0.04473625496029854,
-0.0059683723375201225,
0.05484919622540474,
-0.014879919588565826,
-0.017137961462140083,
0.0054231612011790276,
0.02341030165553093,
-0.03213367983698845,
-0.016481777653098106,
0.012023592367768288,
-0.014464979991316795,
0.03761473670601845,
0.02329450473189354,
0.053421031683683395,
0.0018551649991422892,
0.01895211450755596,
-0.030589718371629715,
0.038174424320459366,
-0.004921373911201954,
-0.01630808226764202,
0.002434150315821171,
0.01786169223487377,
0.09109366685152054,
-0.03363903984427452,
-0.0006567863165400922,
0.003049321938306093,
0.019087212160229683,
-0.044813454151153564,
-0.008486958220601082,
-0.00007406939403153956,
-0.028273776173591614,
-0.021152259781956673,
0.0012773860944435,
0.03176698833703995,
0.022869914770126343,
0.018035389482975006,
-0.004036009311676025,
0.01366405002772808,
-0.0615268275141716,
-0.0017827919218689203,
-0.03715154901146889,
-0.008240888826549053,
0.006127593107521534,
-0.048017170280218124,
0.02626662887632847,
0.002646444831043482,
-0.008115442469716072,
0.006976771634072065,
-0.04662760719656944,
-0.007063619326800108,
-0.011502506211400032,
0.02190493978559971,
-0.03226877376437187,
0.016443179920315742,
-0.0288141630589962,
-0.008390460163354874,
-0.05234026163816452,
0.03375483676791191,
0.0057560778222978115,
0.023217305541038513,
-0.05523518845438957,
-0.05751252919435501,
0.01680022105574608,
-0.022522523999214172,
0.005813976284116507,
0.024124382063746452,
-0.010749825276434422,
0.016462478786706924,
-0.02041887678205967,
-0.024047184735536575,
-0.03641816973686218,
-0.028157979249954224,
-0.018903866410255432,
0.006899573374539614,
-0.06318658590316772,
-0.011000718921422958,
-0.0013280472485348582,
0.07040459662675858,
0.019193358719348907,
0.005263940431177616,
0.005669230129569769,
-0.0017767607932910323,
-0.020052187144756317,
-0.01177269872277975,
-0.034025028347969055,
0.020496075972914696,
0.0011278148740530014,
0.021441752091050148,
0.0013003041967749596,
0.00490689929574728,
0.0173309575766325,
0.022213730961084366,
-0.040451765060424805,
0.019251257181167603,
0.014474629424512386,
-0.019781993702054024,
-0.0008799368515610695,
0.012756973505020142,
0.027636893093585968,
0.04187992960214615,
0.0254946481436491,
-0.018894216045737267,
0.07580845803022385,
0.006812725681811571,
0.03209507837891579,
0.01886526681482792,
0.029354549944400787,
0.05234026163816452,
-0.0037730534095317125,
-0.020804867148399353,
0.01101036835461855,
-0.05106649547815323,
-0.0028876885771751404,
-0.0006604049704037607,
0.03396712988615036,
-0.02537885122001171,
-0.030609017238020897,
-0.0397183857858181,
-0.05268765240907669,
-0.058824896812438965,
-0.0013943893136456609,
0.05774412304162979,
-0.0021410388872027397,
0.023333102464675903,
0.02835097536444664,
0.03948678821325302,
-0.05168407782912254,
-0.0025330602657049894,
-0.019260907545685768,
-0.018643323332071304,
0.042188722640275955,
0.007965871132910252,
0.02398928627371788,
-0.029856335371732712,
0.06245320290327072,
0.005664404947310686,
0.0006127593223936856,
-0.04720659181475639,
0.021750543266534805,
-0.0338706336915493,
-0.025880638509988785,
0.020573273301124573,
-0.04029737040400505,
-0.020283780992031097,
0.029528245329856873,
-0.030493220314383507,
-0.03255826607346535,
0.021538248285651207,
-0.010653327219188213,
-0.06507793813943863,
0.01677127182483673,
-0.031496793031692505,
-0.012718374840915203,
-0.048596158623695374,
0.007531632203608751,
0.0033364021219313145,
-0.01883631758391857,
-0.007242139894515276,
0.013056116178631783,
0.004586045164614916,
0.006561832036823034,
-0.022889213636517525,
-0.030705515295267105,
-0.006499108858406544,
0.030358122661709785,
-0.0032978032249957323,
-0.01584489457309246,
-0.017987139523029327,
0.027386000379920006,
-0.03354254364967346,
0.021538248285651207,
0.006566657219082117,
-0.005157792940735817,
-0.027752690017223358,
-0.04315369576215744,
0.002223061863332987,
-0.038753408938646317,
-0.04191852733492851,
0.0319792814552784,
0.031033605337142944,
0.007874198257923126,
0.06465334445238113,
0.03431452065706253,
0.024954261258244514,
0.050333112478256226,
-0.03400573134422302,
0.03500930592417717,
-0.01723445951938629,
-0.023661194369196892,
0.0049406737089157104,
0.03182488679885864,
-0.00980414915829897,
-0.02225233055651188,
-0.014262335374951363,
0.019936390221118927,
-0.02605433389544487,
0.045739829540252686,
0.011338460259139538,
0.009254112839698792,
-0.009456758387386799,
-0.011512155644595623,
-0.00395639892667532,
0.03522159904241562,
-0.022445326671004295,
-0.02983703650534153,
0.018894216045737267,
-0.023333102464675903,
0.007526807487010956,
-0.007063619326800108,
0.015516802668571472,
-0.007903147488832474,
0.0006507552461698651,
-0.06403575837612152,
0.016250183805823326,
0.0009492944809608161,
-0.002367808250710368,
-0.030242325738072395,
-0.013760548084974289,
-0.042188722640275955,
-0.03796212747693062,
-0.023815590888261795,
0.014773772098124027,
-0.003215780248865485,
-0.019473202526569366,
-0.004202467389404774,
0.007965871132910252,
-0.0024160570465028286,
-0.009688352234661579,
-0.06391996145248413,
0.008983920328319073,
0.0035921207163482904,
-0.0041831680573523045,
-0.02489636279642582,
-0.016809869557619095,
-0.0009824654553085566,
-0.0053652627393603325,
0.0161440372467041,
0.008173340931534767,
-0.027347400784492493,
0.0548877976834774,
0.01714761182665825,
-0.04164833575487137,
-0.01147355604916811,
0.007184241432696581,
-0.007666728924959898,
0.018624024465680122,
-0.028408873826265335,
-0.013799146749079227,
-0.011714800260961056,
0.020032888278365135,
-0.039756983518600464,
0.01658792607486248,
-0.007859723642468452,
0.03940959274768829,
-0.01985919289290905,
0.04380987957119942,
0.028370274230837822,
0.00921068899333477,
-0.023776991292834282,
0.03421802446246147,
0.03157399222254753,
0.002066253451630473,
0.013905294239521027,
0.00691887317225337,
-0.03168978914618492,
-0.0018913516541942954,
-0.08237029612064362,
-0.0003968460951000452,
0.05724233761429787,
-0.02663331851363182,
0.002229092875495553,
-0.05701074004173279,
0.047322388738393784,
-0.08460903912782669
] |
Enterprise resource planning (ERP) software brings resources, data together
to keep software-flow within business processes in a company. However, cloud
computing's cheap, easy and quick management promise pushes business-owners for
a transition from monolithic to a data-center/cloud based ERP. Since cloud-ERP
development involves a cyclic process, namely planning, implementing, testing
and upgrading, its adoption is realized as a deep recurrent neural network
problem. Eventually, a classification algorithm based on long short term memory
(LSTM) and TOPSIS is proposed to identify and rank, respectively, adoption
features. Our theoretical model is validated over a reference model by
articulating key players, services, architecture, functionalities. Qualitative
survey is conducted among users by considering technology, innovation and
resistance issues, to formulate hypotheses on key adoption factors. | [
-0.06755144149065018,
0.014597982168197632,
-0.021220866590738297,
-0.004444044083356857,
-0.00821691658347845,
-0.006430415902286768,
0.03531546890735626,
0.03136740252375603,
-0.03831600025296211,
0.02045099250972271,
0.07280237227678299,
-0.04844279587268829,
0.0009321141988039017,
-0.05464126169681549,
0.015436946414411068,
0.012702909298241138,
0.05333840101957321,
-0.02285931445658207,
-0.013808367773890495,
-0.008434060029685497,
0.0009981209877878428,
0.003602612065151334,
-0.004103523213416338,
-0.028465570881962776,
0.0271034874022007,
0.02041151188313961,
0.030755450949072838,
-0.011528358794748783,
-0.11228305846452713,
0.02216840162873268,
0.04907448589801788,
0.028051024302840233,
0.03355857729911804,
-0.08196189254522324,
-0.049508772790431976,
-0.04161263629794121,
0.04149419441819191,
0.011903425678610802,
0.014390707947313786,
0.06893327087163925,
0.033894166350364685,
-0.015328374691307545,
-0.03496014326810837,
0.041849520057439804,
0.013976161368191242,
-0.026116469874978065,
-0.0008469839813187718,
-0.021240606904029846,
-0.027893101796507835,
-0.00872523058205843,
-0.028682714328169823,
-0.06297168880701065,
0.03197935223579407,
0.01741098053753376,
-0.059773750603199005,
0.05061423406004906,
0.03855288401246071,
0.028603753075003624,
-0.0014792918227612972,
0.02528737671673298,
0.0299658365547657,
0.037447426468133926,
-0.034545596688985825,
-0.022938275709748268,
-0.03359805792570114,
0.018565790727734566,
0.008024448528885841,
-0.011301345191895962,
0.038177818059921265,
-0.053772687911987305,
-0.02351074479520321,
0.02469516545534134,
0.004120795987546444,
-0.004523005336523056,
0.027912842109799385,
-0.02276061289012432,
0.027814140543341637,
-0.006242882460355759,
-0.02943284809589386,
0.006830157712101936,
0.016769418492913246,
0.0663275420665741,
0.030281681567430496,
-0.0037481971085071564,
0.023964773863554,
0.03470351919531822,
0.01763799414038658,
-0.08717334270477295,
0.009129907935857773,
0.008710425347089767,
-0.0029265054035931826,
-0.012031737715005875,
0.007999773137271404,
0.012100828811526299,
-0.0014694215497002006,
-0.029136743396520615,
-0.007476653903722763,
0.014765774831175804,
-0.009120036847889423,
-0.015209932811558247,
0.01972060091793537,
-0.02526763640344143,
0.018240073695778847,
-0.07536862045526505,
0.0016273442888632417,
-0.040625620633363724,
-0.08140916377305984,
0.058036599308252335,
-0.020924760028719902,
0.10612407326698303,
-0.03865158557891846,
0.0046661230735480785,
0.021773595362901688,
0.01679902896285057,
-0.04449472576379776,
-0.02337256260216236,
-0.012495635077357292,
-0.06166882440447807,
0.013867589645087719,
0.06684079021215439,
-0.019789692014455795,
0.04003341123461723,
-0.08709438145160675,
-0.03827651962637901,
-0.049035005271434784,
0.023175159469246864,
0.05171969160437584,
-0.027833880856633186,
0.056733738631010056,
0.03190039098262787,
-0.02876167558133602,
0.016029156744480133,
-0.004698201082646847,
-0.010659784078598022,
0.039362240582704544,
0.016177209094166756,
0.04552122578024864,
0.012229140847921371,
0.03551287204027176,
0.009090426377952099,
0.029136743396520615,
-0.01590084470808506,
-0.007960292510688305,
-0.06166882440447807,
0.050772156566381454,
0.031051555648446083,
-0.05333840101957321,
0.010521601885557175,
0.012515376321971416,
0.01145926769822836,
-0.06056336313486099,
0.01049199141561985,
0.047692663967609406,
0.053812168538570404,
0.033834945410490036,
-0.05361476540565491,
0.02953154966235161,
-0.0025662442203611135,
-0.01867436245083809,
0.06415610760450363,
-0.009228609502315521,
0.010018222965300083,
0.0210234634578228,
-0.01467694342136383,
0.007486524060368538,
0.024379320442676544,
-0.009835625067353249,
0.01750968210399151,
-0.07635563611984253,
0.0482453927397728,
-0.05712854489684105,
-0.04453420639038086,
-0.022523729130625725,
-0.0105512123554945,
-0.008340293541550636,
-0.01620681956410408,
0.047811105847358704,
-0.025445299223065376,
-0.02272113226354122,
-0.0009475363185629249,
-0.004318199586123228,
0.007955357432365417,
-0.014657203108072281,
0.02010553702712059,
0.024260878562927246,
0.027774659916758537,
0.06838054209947586,
0.005028851795941591,
0.05045631155371666,
-0.04370511323213577,
-0.012989143840968609,
0.030775191262364388,
0.05957634747028351,
0.01347278244793415,
0.03851340338587761,
-0.06490623950958252,
0.029294665902853012,
0.020845798775553703,
-0.05665477737784386,
-0.025405818596482277,
-0.026866603642702103,
-0.022958016023039818,
0.017608383670449257,
0.02880115620791912,
0.02635335363447666,
-0.025070233270525932,
0.0664854645729065,
-0.01700630411505699,
0.00199254066683352,
-0.04157315567135811,
0.011301345191895962,
0.05108800157904625,
0.012377193197607994,
0.019098779186606407,
-0.009993547573685646,
0.01647331379354,
0.008211981505155563,
-0.018546050414443016,
-0.00781717523932457,
-0.016483183950185776,
0.01857566088438034,
0.0241226963698864,
0.0478900671005249,
-0.01773669570684433,
0.035769496113061905,
-0.0012103295885026455,
-0.04745578020811081,
0.039934709668159485,
-0.013670185580849648,
-0.0018099424196407199,
0.05278567224740982,
0.046034473925828934,
0.039263539016246796,
-0.05866829305887222,
-0.02049047313630581,
0.022622430697083473,
0.0038888470735400915,
-0.03711184114217758,
-0.07059145718812943,
0.017420850694179535,
0.027912842109799385,
-0.006089895032346249,
-0.0542464554309845,
-0.008404449559748173,
0.009973807260394096,
-0.026136210188269615,
0.017894618213176727,
0.09878066182136536,
0.0010067573748528957,
0.031110776588320732,
0.0011381539516150951,
0.018072281032800674,
-0.03835548087954521,
0.035177286714315414,
0.010314327664673328,
-0.01140004675835371,
0.014331487007439137,
0.016601625829935074,
0.012742389924824238,
0.023017236962914467,
0.04911396652460098,
0.017825527116656303,
-0.0006258304929360747,
0.009840560145676136,
-0.041178349405527115,
-0.0028919598553329706,
0.08654165267944336,
-0.0006970808026380837,
0.03551287204027176,
-0.004278718959540129,
0.041178349405527115,
-0.03503910452127457,
-0.009717182256281376,
-0.007595095783472061,
-0.024754386395215988,
-0.005961582995951176,
0.033953387290239334,
0.005211449693888426,
0.03969782590866089,
0.096253901720047,
-0.051996055990457535,
-0.0029437781777232885,
0.059734269976615906,
0.03363753855228424,
-0.039362240582704544,
-0.005601321812719107,
-0.05148280784487724,
-0.03957938402891159,
-0.04082302376627922,
-0.006701845675706863,
-0.05535191297531128,
-0.06384026259183884,
-0.00512755336239934,
0.008360033854842186,
0.03681573644280434,
-0.015150710940361023,
0.01467694342136383,
0.05037735030055046,
-0.00965302623808384,
-0.03422975167632103,
-0.001481759361922741,
0.0006415610550902784,
0.006060284562408924,
0.02947232872247696,
-0.006297168787568808,
0.0042466409504413605,
-0.018240073695778847,
0.025011012330651283,
-0.026550758630037308,
-0.0031017009168863297,
0.030498826876282692,
0.0016631237231194973,
0.0030276747420430183,
-0.032117534428834915,
-0.010363678447902203,
0.08314631134271622,
0.04327082633972168,
-0.022661911323666573,
0.01804267056286335,
-0.010166275314986706,
0.049508772790431976,
0.06928859651088715,
-0.11686281859874725,
0.025544000789523125,
0.029728952795267105,
-0.03347961604595184,
0.005147293675690889,
0.028741935268044472,
0.025425558909773827,
0.016423963010311127,
0.03494040295481682,
-0.030913373455405235,
-0.03559183329343796,
0.02096424251794815,
0.030459346249699593,
-0.055549319833517075,
-0.012712779454886913,
0.010926278308033943,
-0.01838812790811062,
-0.008937438949942589,
0.0358879379928112,
-0.048403315246105194,
-0.03920431807637215,
0.007412497885525227,
0.02285931445658207,
0.0002842300455085933,
-0.02578088454902172,
-0.039993930608034134,
-0.0330255888402462,
-0.026531018316745758,
0.0012189659755676985,
-0.046508241444826126,
-0.000039037295209709555,
-0.01145926769822836,
-0.007150938268750906,
0.020628655329346657,
0.06419558823108673,
-0.020253589376807213,
-0.02469516545534134,
0.016947083175182343,
-0.008656139485538006,
-0.04871916025876999,
-0.052667226642370224,
0.03669729456305504,
-0.04694252833724022,
0.005818465258926153,
-0.027932582423090935,
0.016108117997646332,
0.052548784762620926,
0.01775643602013588,
0.003708716481924057,
0.04027029499411583,
0.03888846933841705,
-0.02818920649588108,
-0.057404909282922745,
-0.00930757075548172,
0.025563741102814674,
0.03480222076177597,
0.008547567762434483,
0.060997653752565384,
0.029886875301599503,
-0.024181917309761047,
0.0012442583683878183,
0.06782781332731247,
0.013117455877363682,
-0.001917280605994165,
0.04496849700808525,
0.0021714374888688326,
-0.012051478028297424,
0.05760231241583824,
0.008226786740124226,
-0.027833880856633186,
-0.019029688090085983,
-0.0007852954440750182,
-0.031051555648446083,
-0.07292081415653229,
-0.01264368835836649,
0.02469516545534134,
0.03353883698582649,
0.01894085668027401,
-0.02104320377111435,
-0.012475894764065742,
-0.013709666207432747,
0.050061505287885666,
-0.038770027458667755,
-0.01853618025779724,
0.044257842004299164,
0.025070233270525932,
0.042244330048561096,
0.016256170347332954,
-0.04729785397648811,
0.013907070271670818,
0.022503988817334175,
-0.018852025270462036,
0.023866072297096252,
-0.008527827449142933,
-0.04311290383338928,
0.06466935575008392,
0.02220788225531578,
0.02522815577685833,
-0.0010937382467091084,
0.01706552505493164,
0.024142436683177948,
0.019947614520788193,
0.00011998425907222554,
0.07319718599319458,
0.022701391950249672,
-0.04994305968284607,
-0.006538987625390291,
0.06778833270072937,
0.06842002272605896,
0.028524791821837425,
0.03679599612951279,
-0.01324576884508133,
0.023964773863554,
-0.040625620633363724,
0.016394352540373802,
0.035157546401023865,
-0.03476274013519287,
-0.006701845675706863,
-0.04642928019165993,
0.02645205706357956,
-0.00023426231928169727,
0.030735710635781288,
-0.03426923230290413,
-0.006603144109249115,
-0.03160428628325462,
0.03711184114217758,
-0.02291853539645672,
-0.06356389820575714,
-0.04169159755110741,
0.027182448655366898,
-0.018802674487233162,
-0.0300053171813488,
0.01685824990272522,
0.010847317054867744,
0.01765773445367813,
-0.04942981153726578,
0.05337788164615631,
-0.032117534428834915,
-0.00903120543807745,
0.056141529232263565,
0.039066132158041,
-0.03470351919531822,
0.03355857729911804,
0.004784564953297377,
-0.06664338707923889,
-0.01597980596125126,
-0.008434060029685497,
0.05598360672593117,
0.011242124252021313,
-0.03053830750286579,
0.021951258182525635,
0.0600501149892807,
0.00015167675155680627,
0.06360337883234024,
0.04145471379160881,
0.005507554858922958,
-0.01920735090970993,
0.007338471710681915,
0.0036889761686325073,
0.018200593069195747,
0.03166350722312927,
0.0029166352469474077,
-0.006711715832352638,
0.0179439689964056,
0.01976008154451847,
0.02171437442302704,
0.011557969264686108,
-0.0083156181499362,
-0.011636930517852306,
-0.06766989082098007,
0.003617417300119996,
-0.02816946618258953,
0.009978742338716984,
-0.06312961131334305,
0.003516248194500804,
-0.0014089668402448297,
0.03300584852695465,
0.0050436570309102535,
-0.025978287681937218,
0.02355022542178631,
-0.0360063798725605,
-0.004675993230193853,
-0.07919824868440628,
0.03679599612951279,
0.01661149598658085,
-0.000025600753360777162,
-0.004947423003613949,
-0.0007914642919786274,
-0.011863945052027702,
0.015160581097006798,
-0.03304532915353775,
0.0390266515314579,
0.027439072728157043,
0.0419284850358963,
0.0015927987406030297,
0.038789767771959305,
-0.039224058389663696,
0.05025890842080116,
0.005359502509236336,
0.017302408814430237,
-0.0026081923861056566,
0.017440591007471085,
-0.07761901617050171,
0.008967049419879913,
0.06798573583364487,
0.028445830568671227,
0.002386113628745079,
-0.06478779762983322,
-0.04923240840435028,
0.036381445825099945,
0.012387063354253769,
-0.0018555920105427504,
-0.0012602973729372025,
0.001215264666825533,
0.017272798344492912,
0.002553906524553895,
0.00913484301418066,
-0.01741098053753376,
-0.013038494624197483,
0.07086782157421112,
-0.03172272816300392,
-0.006795612163841724,
0.005102877970784903,
0.030735710635781288,
0.010156405158340931,
-0.02041151188313961,
-0.002310853684321046,
-0.002110982546582818,
-0.036460407078266144,
-0.020253589376807213,
0.042876020073890686,
-0.018358517438173294,
-0.02937362715601921,
-0.0362827442586422,
0.003506378037855029,
-0.012702909298241138,
-0.001808708650059998,
0.006874573417007923,
0.0030104019679129124,
0.041178349405527115,
-0.039342500269412994,
-0.017322149127721786,
0.011873815208673477,
-0.009504973888397217,
0.029551289975643158,
0.022069700062274933,
0.05325943976640701,
0.010659784078598022,
-0.011854074895381927,
-0.03967808559536934,
-0.02402399480342865,
-0.031110776588320732,
0.027221929281949997,
0.039836008101701736,
0.0018852024804800749,
-0.023155419155955315,
-0.008527827449142933,
0.0023885811679065228,
-0.035197027027606964,
0.012229140847921371,
0.009435882791876793,
0.07726369053125381,
0.02455698326230049,
0.02035229094326496,
0.018358517438173294,
-0.04631083831191063,
0.028445830568671227,
0.003508845577016473,
-0.023569965735077858,
0.02159593254327774,
0.008419254794716835,
-0.024438541382551193,
0.03494040295481682,
0.0299658365547657,
0.019641639664769173,
-0.00942107755690813,
0.01932579278945923,
-0.0009179258486256003,
-0.01853618025779724,
0.042323291301727295,
0.027833880856633186,
0.03118973784148693,
-0.018911246210336685,
0.018457219004631042,
0.020885279402136803,
-0.0016137728234753013,
0.028070764616131783,
-0.013966291211545467,
-0.003040012437850237,
0.013295119628310204,
0.05104852095246315,
-0.009085491299629211,
-0.0009746793075464666,
-0.04611343517899513,
0.018210463225841522,
0.03916483372449875,
-0.03115025721490383,
0.0021714374888688326,
-0.0003627287514973432,
-0.00963328592479229,
0.04390251636505127,
-0.004387290682643652,
-0.006573533173650503,
0.00950003881007433,
0.004959760699421167,
0.018664492294192314,
0.005394048057496548,
-0.00987017061561346,
-0.04378407448530197,
-0.013877459801733494,
0.03227545693516731,
-0.0063317143358290195,
0.021970998495817184,
-0.016927342861890793,
-0.006494571920484304,
0.023017236962914467,
0.0028845572378486395,
0.0269455648958683,
0.02153671160340309,
0.0072397696785628796,
0.010205755941569805,
0.06944651901721954,
-0.01377875730395317,
-0.05025890842080116,
0.01569357141852379,
0.0022429961245507,
0.08701542019844055,
-0.013028624467551708,
0.026195431128144264,
0.027439072728157043,
0.03543391078710556,
0.03409156948328018,
-0.011548099108040333,
-0.026313873007893562,
0.030360642820596695,
-0.012160049751400948,
-0.003943133167922497,
0.020628655329346657,
0.01979956217110157,
-0.017381370067596436,
0.036874957382678986,
-0.012189660221338272,
0.005818465258926153,
-0.03484170138835907,
0.0011332188732922077,
-0.0022861782927066088,
-0.010314327664673328,
0.06060284376144409,
-0.031584545969963074,
-0.003267026273533702,
-0.009529649280011654,
0.011952776461839676,
0.0025835169944912195,
-0.017825527116656303,
0.03778301179409027,
0.032097794115543365,
0.021201126277446747,
0.0007088016136549413,
-0.0538516491651535,
-0.027912842109799385,
0.05815504491329193,
0.015989676117897034,
-0.04749526083469391,
-0.013383951038122177,
-0.040507178753614426,
0.011863945052027702,
-0.001598967588506639,
0.027439072728157043,
-0.02818920649588108,
0.027300890535116196,
0.00829587783664465,
0.00004063734013470821,
0.034427154809236526,
-0.02278035320341587,
-0.04370511323213577,
-0.018319036811590195,
0.010867057368159294,
0.0007612368790432811,
-0.01743072085082531,
-0.035058844834566116,
-0.02455698326230049,
-0.008828867226839066,
-0.006055349484086037,
0.00946055818349123,
0.02522815577685833,
-0.030775191262364388,
-0.04334978759288788,
-0.03122921846807003,
0.0076888627372682095,
0.017766306176781654,
-0.013403691351413727,
-0.019009947776794434,
0.03853314369916916,
0.012742389924824238,
0.001784033258445561,
0.03496014326810837,
-0.020549694076180458,
0.019918004050850868,
0.008912763558328152,
0.023194899782538414,
-0.000018198126781499013,
-0.011538228951394558,
-0.05345684289932251,
0.032690003514289856,
-0.0017124745063483715,
-0.015831753611564636,
-0.02051021344959736,
-0.005897426512092352,
0.01922709122300148,
-0.04334978759288788,
-0.00039727435796521604,
-0.006168856285512447,
0.023826591670513153,
0.015851493924856186,
0.0300053171813488,
0.02402399480342865,
-0.014548631384968758,
0.007150938268750906,
0.030261941254138947,
-0.015111230313777924,
-0.025089973583817482,
-0.015180321410298347,
0.056773219257593155,
-0.035769496113061905,
0.0003340435796417296,
-0.033341433852910995,
-0.013670185580849648,
-0.027537774294614792,
0.03284792602062225,
-0.026116469874978065,
0.0663670226931572,
-0.015436946414411068,
-0.09096349030733109,
0.026827123016119003,
0.0021566322539001703,
0.03614456206560135,
-0.02398451417684555,
0.04638979956507683,
-0.02465568482875824,
-0.007007820997387171,
0.014509149827063084,
0.03525624796748161,
0.023648926988244057,
0.0003081343893427402,
-0.006524182390421629,
0.02159593254327774,
0.010936148464679718,
0.015417206101119518,
0.03257156163454056,
0.038750287145376205,
0.06178726628422737,
0.00054409314179793,
-0.004947423003613949,
-0.021299827843904495,
0.020154887810349464,
-0.047653183341026306,
-0.020707616582512856,
-0.00033435202203691006,
0.008952244184911251,
-0.012199530377984047,
-0.03359805792570114,
0.015950195491313934,
-0.0017223446629941463,
0.06320857256650925,
0.0031510519329458475,
-0.01855592057108879,
0.005517425015568733,
0.006598209030926228,
-0.00851302221417427,
-0.011409916914999485,
-0.020727356895804405,
0.02941310778260231,
0.05562828108668327,
0.04485005512833595,
-0.005502619780600071,
-0.007175613660365343,
-0.0482453927397728,
-0.025622962042689323,
0.00704730162397027,
0.027873361483216286,
-0.0482453927397728,
-0.01377875730395317,
-0.005517425015568733,
0.009203934110701084,
0.0033533903770148754,
-0.01204160787165165,
0.006070154719054699,
-0.009312505833804607,
0.009401337243616581,
-0.006395870354026556,
-0.03904639184474945,
0.03428897261619568,
0.020826058462262154,
-0.018437478691339493,
-0.0541280135512352,
0.012673298828303814,
-0.001717409584671259,
0.0028426090721040964,
0.011528358794748783,
-0.03896743059158325,
0.02828790806233883,
-0.0052311900071799755,
-0.05594412609934807,
-0.008207046426832676,
0.015703441575169563,
0.004821578040719032,
0.012653558515012264,
-0.02104320377111435,
0.007708603050559759,
-0.00004040600833832286,
0.039362240582704544,
-0.002879622159525752,
-0.03223597630858421,
0.01896059699356556,
-0.006790677085518837,
0.01700630411505699,
-0.009880040772259235,
-0.000059876463637920097,
-0.05487814545631409,
-0.0046069021336734295,
-0.016236430034041405,
-0.019651509821414948,
0.003489105263724923,
-0.02647179737687111,
-0.001364551018923521,
0.002519360976293683,
0.012515376321971416,
0.05053527280688286,
0.0179834496229887,
0.05779971554875374,
0.010274847038090229,
-0.006563663017004728,
0.012150179594755173,
0.008700555190443993,
0.06170830503106117,
0.0029018300119787455,
-0.007619771640747786,
0.01558499876409769,
0.02096424251794815,
0.04749526083469391,
0.023017236962914467,
0.03294662758708,
0.03140688315033913,
-0.007915876805782318,
-0.005320021882653236,
-0.027300890535116196,
-0.009618480689823627,
-0.0033830008469522,
-0.02347126416862011,
0.005936907604336739,
0.02949206903576851,
0.011064460501074791,
0.042994461953639984,
-0.012081088498234749,
0.014815125614404678,
0.033361174166202545,
0.01836838759481907,
-0.056852180510759354,
0.010422899387776852,
-0.0005684600910171866,
0.001674227649345994,
-0.006716650910675526,
0.03794093430042267,
-0.02759699523448944,
-0.05704958364367485,
0.0052311900071799755,
0.007471718825399876,
-0.017361629754304886,
-0.0390266515314579,
0.014222915284335613,
0.027360111474990845,
0.010719005018472672,
-0.014084733091294765,
-0.0061935316771268845,
0.018644751980900764,
0.006237947382032871,
-0.006716650910675526,
-0.02347126416862011,
-0.002605724846944213,
-0.045955512672662735,
-0.07086782157421112,
-0.029847394675016403,
0.03788171336054802,
-0.03474299982190132,
0.023826591670513153,
-0.03166350722312927,
0.016423963010311127,
-0.03373624011874199,
-0.036855217069387436,
-0.03845418244600296,
0.025682182982563972,
-0.025484779849648476,
0.01383797824382782,
-0.017687344923615456,
-0.008068864233791828,
-0.0048931366764009,
0.013670185580849648,
-0.017884748056530952,
0.05831296741962433,
0.003859236603602767,
0.007565485313534737,
0.019868653267621994,
-0.0478505864739418,
0.04982461780309677,
0.001859293319284916,
-0.01851643994450569,
-0.03669729456305504,
0.013877459801733494,
0.004221965093165636,
-0.0010721472790464759,
0.033894166350364685,
-0.027833880856633186,
0.004407030995935202,
-0.02285931445658207,
0.0019000077154487371,
0.009435882791876793,
0.0036149497609585524,
0.019385013729333878,
-0.0019370209192857146,
0.04575810953974724,
0.007382887415587902,
0.02222762256860733,
-0.043547190725803375,
-0.01947384513914585,
-0.0008994192467071116,
0.014637462794780731,
0.0783296674489975,
-0.022582950070500374,
-0.05112748220562935,
-0.04394199699163437,
0.006070154719054699,
-0.03841470181941986,
-0.027932582423090935,
-0.019888393580913544,
-0.021773595362901688,
-0.015476427040994167,
-0.0332229919731617,
0.041138868778944016,
0.0047006686218082905,
0.006696910597383976,
0.003913522697985172,
0.02230658568441868,
-0.003197935177013278,
-0.02876167558133602,
-0.03942146152257919,
0.026629719883203506,
-0.026313873007893562,
0.04074406251311302,
0.015733052045106888,
0.03681573644280434,
-0.010758485645055771,
0.020135147497057915,
-0.005201579537242651,
-0.014726294204592705,
-0.02759699523448944,
0.0031189736910164356,
-0.028011543676257133,
0.03659859299659729,
0.017460331320762634,
-0.0329071469604969,
-0.07434212416410446,
-0.013413561508059502,
-0.028031283989548683,
-0.03740794584155083,
0.0030104019679129124,
-0.02455698326230049,
-0.03462455794215202,
0.02216840162873268,
-0.05693114176392555,
0.01230810210108757,
0.003540923586115241,
-0.01584162376821041,
-0.033282212913036346,
0.004863526206463575,
0.001348512014374137,
-0.026234911754727364,
0.0068202875554561615,
-0.008177435956895351,
0.013255639001727104,
-0.021931517869234085,
-0.005907296668738127,
0.03417053073644638,
0.0195725467056036,
0.00990965124219656,
0.03361779823899269,
-0.009208869189023972,
-0.014686813578009605,
0.0046833958476781845,
0.013314859941601753,
-0.005507554858922958,
-0.013729406520724297,
0.014015641994774342,
0.0058579458855092525,
0.03421001136302948,
0.004809240344911814,
-0.010482121258974075,
-0.00443910900503397,
-0.03847392275929451,
-0.020214108750224113,
-0.006849898025393486,
0.022326325997710228,
-0.05053527280688286
] |
Bilevel optimization reveals the inner structure of otherwise oblique
optimization problems, such as hyperparameter tuning and meta-learning. A
common goal in bilevel optimization is to find stationary points of the
hyper-objective function. Although this hyper-objective approach is widely
used, its theoretical properties have not been thoroughly investigated in cases
where the lower-level functions lack strong convexity. In this work, we take a
step forward and study the hyper-objective approach without the typical
lower-level strong convexity assumption. Our hardness results show that the
hyper-objective of general convex lower-level functions can be intractable
either to evaluate or to optimize. To tackle this challenge, we introduce the
gradient dominant condition, which strictly relaxes the strong convexity
assumption by allowing the lower-level solution set to be non-singleton. Under
the gradient dominant condition, we propose the Inexact Gradient-Free Method
(IGFM), which uses the Switching Gradient Method (SGM) as the zeroth order
oracle, to find an approximate stationary point of the hyper-objective. We also
extend our results to nonsmooth lower-level functions under the weak sharp
minimum condition. | [
-0.030890006572008133,
0.019275516271591187,
-0.04369621351361275,
-0.037416066974401474,
0.038229458034038544,
0.06601722538471222,
-0.03361392766237259,
0.03612976893782616,
-0.0666225403547287,
-0.0037335671950131655,
0.01245625875890255,
0.023153318092226982,
0.052889443933963776,
-0.0315142385661602,
-0.04377187788486481,
0.04017781838774681,
0.013562850654125214,
0.0038990832399576902,
0.015435545705258846,
-0.09798544645309448,
0.02536650374531746,
-0.030303608626127243,
0.020107824355363846,
0.05894259735941887,
-0.021772442385554314,
0.008710868656635284,
0.03342476487159729,
-0.02464769035577774,
-0.03206280618906021,
-0.0059018260799348354,
0.027352694422006607,
0.010375486686825752,
-0.005759955383837223,
0.03864561393857002,
-0.004695924464613199,
-0.030511684715747833,
0.02390996366739273,
0.02565024420619011,
-0.0037382962182164192,
0.011954981833696365,
-0.013629057444632053,
-0.005972761660814285,
-0.015671996399760246,
-0.01183202676475048,
0.013222360983490944,
0.011500994674861431,
-0.015057223848998547,
0.0038021381478756666,
0.015151804313063622,
-0.009590467438101768,
0.01594628021121025,
-0.03187364339828491,
0.05005202814936638,
0.013392605818808079,
0.006275419611483812,
0.008204862475395203,
0.07505912333726883,
0.02502601407468319,
0.053910914808511734,
0.005570794455707073,
-0.01647593080997467,
-0.04066963493824005,
-0.07388632744550705,
-0.02593398652970791,
0.03934551030397415,
-0.010318737477064133,
0.054516229778528214,
0.001182256848551333,
0.037794388830661774,
0.014518114738166332,
-0.043885376304388046,
-0.008077179081737995,
-0.02583940699696541,
-0.019805166870355606,
-0.01585170067846775,
-0.01810271665453911,
0.027825597673654556,
-0.012333303689956665,
0.04316656291484833,
-0.029963117092847824,
0.004487846978008747,
-0.021299539133906364,
0.020145656540989876,
0.020410481840372086,
0.06893030554056168,
0.016617802903056145,
0.019786251708865166,
-0.06253665685653687,
0.0257637407630682,
0.012513007037341595,
-0.022264260798692703,
0.014073586091399193,
0.023380311205983162,
0.015426087193191051,
0.030095530673861504,
0.021223874762654305,
0.015095056034624577,
0.006090987473726273,
-0.046268805861473083,
-0.019899748265743256,
0.007684669457376003,
0.0030856903176754713,
0.009495886974036694,
0.0157571192830801,
0.030700845643877983,
-0.007519153878092766,
0.04233425483107567,
-0.0066064512357115746,
0.0253854189068079,
0.13960088789463043,
-0.005618084687739611,
0.030871091410517693,
0.013572309166193008,
0.03232763335108757,
-0.060228895395994186,
0.020599642768502235,
-0.06299064308404922,
-0.05262461677193642,
0.036716170608997345,
-0.03384092077612877,
0.03274378553032875,
0.030133362859487534,
0.04320439323782921,
-0.043582718819379807,
-0.07702639698982239,
-0.0026222458109259605,
-0.010224157012999058,
-0.009647215716540813,
0.04055614024400711,
-0.008006243035197258,
0.019114729017019272,
-0.010734892450273037,
0.014385701157152653,
-0.021337371319532394,
-0.028203919529914856,
0.01621110551059246,
0.05913176015019417,
-0.03930767625570297,
-0.03588385879993439,
-0.013581766746938229,
-0.027012204751372337,
-0.03438948839902878,
-0.027087869122624397,
0.04146411269903183,
0.04157761111855507,
0.022283177822828293,
-0.014130334369838238,
0.02419370412826538,
-0.017033956944942474,
0.014934268780052662,
-0.037321485579013824,
0.07706423103809357,
-0.030511684715747833,
0.022094016894698143,
0.09669915586709976,
0.01713799498975277,
-0.011264543049037457,
-0.021602196618914604,
0.037037741392850876,
-0.03839970380067825,
0.10994043201208115,
0.01740282028913498,
-0.009335100650787354,
0.05811028927564621,
0.004419276025146246,
0.07452947646379471,
-0.0008222596370615065,
0.03219521790742874,
-0.05686182528734207,
0.052057135850191116,
0.006946941372007132,
-0.03166556730866432,
-0.008412939496338367,
-0.007207037881016731,
-0.020732056349515915,
0.00814338494092226,
0.08194458484649658,
-0.03979949653148651,
-0.009160126559436321,
-0.003000567900016904,
-0.0475551001727581,
-0.05572685971856117,
0.035846028476953506,
0.03310319408774376,
0.013402063399553299,
0.035864945501089096,
0.061250362545251846,
-0.0004341838357504457,
0.022377757355570793,
-0.037775471806526184,
-0.018726948648691177,
0.04082096368074417,
0.063406802713871,
-0.03266812115907669,
0.028166087344288826,
-0.05909392610192299,
-0.03331127017736435,
-0.0243450328707695,
0.01284403819590807,
0.017279867082834244,
0.005376904271543026,
-0.03554337099194527,
-0.07876668125391006,
0.04002648964524269,
0.01730824075639248,
-0.009940415620803833,
-0.022245345637202263,
-0.046684958040714264,
-0.015974653884768486,
-0.015000475570559502,
-0.000962357094977051,
-0.0037903154734522104,
-0.09458054602146149,
-0.04415019974112511,
-0.052284128963947296,
-0.05069517344236374,
0.020240237936377525,
-0.00299583887681365,
0.0011071835178881884,
-0.020959049463272095,
-0.014404617249965668,
0.07422681152820587,
0.04710111394524574,
-0.009486429393291473,
0.018859362229704857,
0.02587723918259144,
0.036281097680330276,
-0.026255561038851738,
-0.026142064481973648,
-0.004100066609680653,
-0.02394779585301876,
0.021526532247662544,
-0.005211388226598501,
-0.011132130399346352,
-0.027125701308250427,
0.019937580451369286,
-0.04059397056698799,
-0.028279583901166916,
0.018462123349308968,
-0.01738390512764454,
0.01241842657327652,
-0.005651187617331743,
-0.0313250795006752,
0.0035018448252230883,
-0.0006425565807148814,
0.021923771128058434,
-0.036375679075717926,
0.04282607138156891,
0.018594535067677498,
0.014915352687239647,
-0.007235412020236254,
-0.004823607858270407,
-0.020656391978263855,
0.030681930482387543,
-0.01564362272620201,
0.0017934836214408278,
0.03344368189573288,
-0.020675309002399445,
-0.00060501997359097,
-0.038664527237415314,
0.05466755852103233,
0.03140074387192726,
-0.00862574577331543,
0.06507141888141632,
0.10366028547286987,
-0.010470067150890827,
0.097380131483078,
0.037718724459409714,
-0.05553769692778587,
0.0496358722448349,
0.015142345800995827,
-0.0156625397503376,
-0.008152843452990055,
0.030833259224891663,
-0.007637379225343466,
-0.03490022197365761,
0.04324222728610039,
-0.05481888726353645,
0.061023369431495667,
-0.0471767783164978,
0.030190112069249153,
0.009855293668806553,
0.044112369418144226,
0.004956020973622799,
0.011387498117983341,
-0.026785211637616158,
0.014726191759109497,
-0.0161354411393404,
-0.044642020016908646,
-0.028355248272418976,
0.0013926986139267683,
0.06363379210233688,
-0.036148685961961746,
-0.0010610754834488034,
0.02445852942764759,
-0.0003212782903574407,
0.013203444890677929,
-0.007046251092106104,
0.019653838127851486,
-0.021848106756806374,
0.008417668752372265,
-0.003835241310298443,
0.046987615525722504,
-0.018225671723484993,
-0.010413318872451782,
0.0021599833853542805,
0.005187743343412876,
0.03938334062695503,
-0.03138182684779167,
0.013411521911621094,
-0.011699614115059376,
-0.0165137629956007,
-0.008332546800374985,
-0.018320253118872643,
-0.004558782558888197,
-0.0082095917314291,
0.10199566185474396,
-0.03315994143486023,
-0.010110660456120968,
-0.0012661970686167479,
-0.001508559798821807,
-0.04827391356229782,
-0.062196169048547745,
-0.006157193798571825,
0.002868155250325799,
-0.02555566467344761,
0.0015605790540575981,
0.04006431996822357,
-0.038740191608667374,
0.013865508139133453,
-0.053646087646484375,
-0.01275891624391079,
-0.03919417783617973,
0.014801856130361557,
-0.03919417783617973,
-0.019256599247455597,
-0.045474328100681305,
-0.01171853020787239,
-0.0008459048112854362,
-0.026709547266364098,
0.0175541490316391,
0.003922728355973959,
0.023191150277853012,
-0.004698288626968861,
-0.0058639938943088055,
-0.013127780519425869,
-0.037624143064022064,
-0.03573253005743027,
0.029679376631975174,
-0.00447838893160224,
0.0010315191466361284,
0.048690065741539,
-0.027258114889264107,
-0.009174313396215439,
0.04846307262778282,
-0.06862764805555344,
0.01220089104026556,
-0.02587723918259144,
-0.014300579205155373,
0.036243267357349396,
0.04959803819656372,
-0.10608154535293579,
-0.016163816675543785,
0.008649391122162342,
-0.07025443017482758,
0.009912041947245598,
0.0028823423199355602,
0.004225385840982199,
-0.0014281662879511714,
0.0014127969043329358,
-0.04025348275899887,
-0.014395159669220448,
0.014896436594426632,
0.03143857419490814,
-0.04150194674730301,
-0.010564647614955902,
0.007093541324138641,
-0.03972383216023445,
-0.08118794113397598,
0.04157761111855507,
-0.03336801752448082,
0.00884328130632639,
0.013657431118190289,
0.010460608638823032,
0.0253854189068079,
0.03531637787818909,
0.007495508529245853,
-0.061893511563539505,
0.01806488446891308,
-0.028260668739676476,
0.04044264182448387,
-0.015047765336930752,
0.029830705374479294,
-0.05758063867688179,
0.027031121775507927,
0.03457864746451378,
-0.008734514005482197,
-0.007632650434970856,
-0.011103756725788116,
0.027806680649518967,
0.05565119534730911,
0.0009694506297819316,
0.0034474609419703484,
-0.0156625397503376,
-0.016069235280156136,
-0.021110378205776215,
-0.02506384626030922,
-0.02381538227200508,
0.007533340714871883,
-0.020694224163889885,
0.019445760175585747,
-0.05761846899986267,
0.010394402779638767,
0.02525300718843937,
0.014915352687239647,
0.016693467274308205,
-0.03991299122571945,
-0.022850660607218742,
0.01738390512764454,
-0.003596425289288163,
0.01298590935766697,
-0.029660459607839584,
0.043961040675640106,
-0.0246287751942873,
0.021621113643050194,
-0.0037690349854528904,
0.08481983840465546,
0.036356762051582336,
-0.0018880642019212246,
-0.0001810330868465826,
0.006767238490283489,
0.007585360202938318,
0.006530786864459515,
-0.04278824105858803,
-0.020088909193873405,
0.022793913260102272,
0.02549891546368599,
0.019076896831393242,
-0.046760622411966324,
-0.003248841967433691,
0.055386368185281754,
-0.020618559792637825,
0.005892368033528328,
0.007552256807684898,
0.010072828270494938,
-0.017998678609728813,
-0.012115768156945705,
0.009141210466623306,
0.007656295318156481,
-0.004646269604563713,
-0.05758063867688179,
0.031173748895525932,
-0.046117477118968964,
-0.04876573011279106,
0.046684958040714264,
-0.0473659373819828,
0.04929538071155548,
-0.027087869122624397,
0.018878277391195297,
-0.04051830619573593,
-0.0002803426468744874,
0.030492769554257393,
0.004040954168885946,
-0.06843848526477814,
0.020164573565125465,
0.030076615512371063,
-0.036432426422834396,
-0.0006070889066904783,
0.0025844136252999306,
-0.02447744645178318,
0.03380308672785759,
-0.044869013130664825,
0.009732338599860668,
0.045247334986925125,
0.0511491596698761,
0.016447557136416435,
-0.0017402820521965623,
-0.037775471806526184,
0.014612695202231407,
-0.008568997494876385,
0.05829945206642151,
-0.03198714181780815,
0.045928314328193665,
-0.08330655097961426,
0.04407453536987305,
0.01742173731327057,
0.037945717573165894,
0.010545731522142887,
0.023531639948487282,
-0.03230871632695198,
-0.0016657998785376549,
0.013695263303816319,
0.012891328893601894,
0.014489740133285522,
-0.006639554630964994,
-0.009675590321421623,
0.01810271665453911,
-0.03514613211154938,
0.06858981400728226,
0.013723637908697128,
0.035940609872341156,
0.0016504306113347411,
-0.028657905757427216,
0.03892935439944267,
0.03457864746451378,
0.013591225259006023,
0.028714654967188835,
0.036772917956113815,
0.0035704157780855894,
-0.00614300649613142,
-0.020561810582876205,
0.03414357826113701,
0.01564362272620201,
-0.06003973260521889,
0.04044264182448387,
-0.03565686568617821,
0.004445286002010107,
-0.03915634751319885,
0.022264260798692703,
0.03478672727942467,
0.006076800171285868,
-0.06537407636642456,
0.014366785064339638,
0.02459094300866127,
-0.0039747473783791065,
0.06866548210382462,
0.04089662805199623,
-0.023039821535348892,
0.03423815965652466,
0.04161544144153595,
-0.010101202875375748,
0.037794388830661774,
-0.04842524230480194,
-0.04150194674730301,
0.01317507028579712,
-0.002719190903007984,
-0.036394596099853516,
0.027976926416158676,
-0.061742182821035385,
0.0025678619276732206,
-0.022415589541196823,
0.04751726612448692,
0.008417668752372265,
-0.006932754069566727,
-0.029603712260723114,
0.00831363070756197,
-0.004776317626237869,
0.0014399888459593058,
-0.0012685615802183747,
0.031154833734035492,
0.03213847056031227,
-0.006956399418413639,
-0.013666889630258083,
-0.0029887454584240913,
-0.04778209328651428,
-0.020467231050133705,
-0.017109621316194534,
-0.03185473009943962,
-0.012040103785693645,
-0.016069235280156136,
0.00636054202914238,
-0.0017580159474164248,
-0.001905798097141087,
-0.020315902307629585,
-0.014177624136209488,
0.03312210738658905,
0.04857657104730606,
0.030114447697997093,
-0.021053630858659744,
0.030946755781769753,
-0.027844512835144997,
0.035997357219457626,
-0.014886978082358837,
-0.014007379300892353,
-0.036016274243593216,
0.04244774952530861,
-0.029660459607839584,
-0.006776696536689997,
0.007334721740335226,
-0.006516600027680397,
0.04112362116575241,
-0.013988463208079338,
-0.006738864351063967,
0.021034713834524155,
-0.0018797884695231915,
-0.027258114889264107,
-0.021507617086172104,
-0.03134399279952049,
0.018603993579745293,
-0.007547528017312288,
0.03512721508741379,
0.04948454350233078,
0.015199094079434872,
-0.021394120529294014,
0.013893882744014263,
-0.035410959273576736,
0.03577036410570145,
-0.0007601911784149706,
-0.019152561202645302,
-0.03217630460858345,
0.05898043140769005,
0.016655635088682175,
-0.012191432528197765,
-0.011009176261723042,
-0.009415493346750736,
0.030757594853639603,
0.026444721966981888,
0.018074342980980873,
0.044188033789396286,
0.012995367869734764,
0.0030667742248624563,
0.03486239165067673,
0.03957250341773033,
-0.030171195045113564,
0.02400454320013523,
0.004161544144153595,
-0.003286674153059721,
0.0165137629956007,
0.008531165309250355,
-0.051905807107686996,
0.03877802565693855,
-0.037624143064022064,
0.02540433593094349,
0.026879793033003807,
-0.045663490891456604,
0.045247334986925125,
-0.011746903881430626,
-0.026179896667599678,
-0.01615435816347599,
-0.031022420153021812,
-0.030663013458251953,
0.017781144008040428,
-0.02336139604449272,
-0.0015511210076510906,
0.016390809789299965,
-0.03399224951863289,
-0.011207794770598412,
0.014414075762033463,
-0.009145938791334629,
0.05534853786230087,
-0.027201365679502487,
0.018991773948073387,
-0.030057698488235474,
0.004497305024415255,
-0.015549042262136936,
0.002482739510014653,
0.014385701157152653,
-0.010176867246627808,
0.011557742953300476,
0.061817847192287445,
0.0014565404271706939,
0.013988463208079338,
0.037075575441122055,
0.04785775765776634,
-0.011652323417365551,
-0.004646269604563713,
-0.02455311082303524,
0.02442069724202156,
0.002799584297463298,
0.012787289917469025,
0.045322999358177185,
-0.04032914713025093,
-0.010299821384251118,
0.011586117558181286,
-0.002839780878275633,
-0.007958953268826008,
0.020032159984111786,
0.051830142736434937,
0.026463637128472328,
0.014972100965678692,
-0.019559256732463837,
-0.007069895975291729,
-0.037680890411138535,
0.0005169418291188776,
0.028828151524066925,
-0.02600965090095997,
-0.030568433925509453,
0.06563889980316162,
0.02485576830804348,
-0.015501752495765686,
-0.011188878677785397,
-0.012181974947452545,
0.018897194415330887,
-0.03484347462654114,
-0.053797416388988495,
-0.010328195989131927,
-0.017109621316194534,
-0.013014283962547779,
-0.0053910911083221436,
0.022094016894698143,
-0.015728745609521866,
0.001315851928666234,
-0.017743311822414398,
0.002742836019024253,
-0.019143102690577507,
0.029490215703845024,
0.03213847056031227,
-0.023418143391609192,
-0.0024307200219482183,
0.010801098309457302,
-0.026898708194494247,
-0.0005858083022758365,
0.018736407160758972,
0.02527192234992981,
0.015047765336930752,
0.010734892450273037,
-0.003795044496655464,
-0.013458812609314919,
-0.027844512835144997,
-0.043961040675640106,
0.008214320987462997,
-0.0021186042577028275,
-0.016882628202438354,
0.020372649654746056,
0.054175738245248795,
-0.01186985895037651,
-0.00006938369915587828,
0.000260244298260659,
0.053570423275232315,
0.008460230194032192,
0.011595575138926506,
0.009836377575993538,
0.0008937862003222108,
-0.06389861553907394,
0.0178378913551569,
0.062385331839323044,
0.018008137121796608,
-0.00292017450556159,
-0.006407832261174917,
-0.005159368738532066,
-0.004040954168885946,
-0.01776222698390484,
-0.021829191595315933,
-0.0015570323448628187,
-0.01197389792650938,
-0.009647215716540813,
0.0015948645304888487,
0.03957250341773033,
0.006871277000755072,
-0.04732810705900192,
0.018055425956845284,
-0.026860876008868217,
0.018717490136623383,
0.006559161003679037,
-0.021696778014302254,
0.03314102441072464,
0.026369057595729828,
0.018433749675750732,
-0.017355531454086304,
0.020675309002399445,
0.07642108201980591,
-0.030511684715747833,
-0.003031306667253375,
-0.007027334999293089,
-0.0352974608540535,
-0.009486429393291473,
-0.001985009294003248,
-0.06764400750398636,
0.027333779260516167,
-0.0035113028716295958,
-0.006450393237173557,
0.011132130399346352,
0.05175447836518288,
0.04634447023272514,
0.021621113643050194,
0.017487943172454834,
-0.01257921289652586,
-0.022453421726822853,
0.022018352523446083,
-0.0062423162162303925,
0.01757306605577469,
0.012144142761826515,
0.05137615278363228,
-0.06998960673809052,
0.0003623617230914533,
-0.0118414843454957,
-0.020505063235759735,
0.017979761585593224,
-0.03964816778898239,
0.04225859045982361,
-0.03438948839902878,
0.03423815965652466,
0.015293674543499947,
0.012550839222967625,
-0.017705479636788368,
0.0040575056336820126,
-0.005206659436225891,
-0.02436394989490509,
0.018008137121796608,
0.04328005760908127,
-0.0012390052434056997,
0.00046108016977086663,
-0.012304929085075855,
0.028317416086792946,
0.04346922039985657,
0.005670103710144758,
-0.027504023164510727,
-0.006384186912328005,
-0.028203919529914856,
0.007202308624982834,
0.011463162489235401,
-0.020429398864507675,
-0.015567958354949951,
0.03395441547036171,
-0.006379458121955395,
-0.017242034897208214,
0.0015014662640169263,
0.009808002971112728,
-0.007736688945442438,
-0.03361392766237259,
-0.013818218372762203,
0.010952427983283997,
-0.000793885497841984,
0.02392887882888317,
-0.015284216962754726,
0.030227944254875183,
-0.028260668739676476,
0.006412561051547527,
0.01217251643538475,
-0.022358842194080353,
-0.04781992733478546,
-0.023077653720974922,
-0.030644098296761513,
0.013430438004434109,
-0.03908068314194679,
0.021148210391402245,
-0.04884139448404312,
-0.030398188158869743,
0.006762509234249592,
0.03934551030397415,
0.02517734281718731,
0.05046818032860756,
-0.00310460664331913,
0.02317223511636257,
-0.05807245895266533,
0.046457964926958084,
-0.006455122493207455,
0.012560296803712845,
-0.008422398008406162,
0.00643620640039444,
0.0019826446659862995,
-0.017885182052850723,
-0.029187558218836784,
0.01611652597784996,
0.012153600342571735,
0.022453421726822853,
-0.019407927989959717,
0.018537787720561028,
-0.029263222590088844,
0.015378797426819801,
0.029868537560105324,
-0.00301239057444036,
0.07657241076231003,
-0.015218010172247887,
-0.04729027301073074,
-0.009732338599860668,
0.030568433925509453,
0.027277030050754547,
-0.014792397618293762,
0.01924714259803295,
0.022453421726822853,
0.05016552284359932,
0.021621113643050194,
-0.020259153097867966,
0.027144618332386017,
-0.05735364556312561,
-0.004480753559619188,
-0.05186797305941582,
0.03512721508741379,
-0.0500141941010952,
-0.0007666935562156141,
-0.04214509204030037,
-0.00654970295727253,
0.08376053720712662,
0.001309940591454506,
-0.021923771128058434,
0.0020322995260357857,
0.0156625397503376,
-0.0032961321994662285,
0.005216117482632399,
0.011567201465368271,
0.009661403484642506,
-0.014924810267984867,
-0.06299064308404922,
0.030454937368631363,
0.016466474160552025,
0.009874209761619568,
-0.00075309764361009,
-0.019143102690577507,
-0.027428358793258667,
0.004993853159248829,
0.029149726033210754,
-0.04770642891526222,
0.014423533342778683,
0.0249125175178051,
0.04751726612448692,
-0.002152889734134078,
-0.014518114738166332,
0.019691670313477516,
-0.008488603867590427,
-0.006776696536689997,
-0.007386740762740374,
-0.009623571299016476,
-0.028449829667806625,
0.020315902307629585,
-0.008980423212051392,
0.03206280618906021,
0.017204202711582184,
0.03261137381196022,
-0.021867023780941963,
-0.046079643070697784,
0.01179419457912445,
0.018083801493048668,
-0.06011539697647095,
0.003776128403842449,
-0.0008719144389033318,
-0.04222075641155243,
-0.007334721740335226,
0.045436494052410126,
0.0635959580540657,
-0.003019483992829919,
0.009287809953093529,
0.02587723918259144,
0.05194363743066788,
-0.028185004368424416,
-0.055386368185281754,
0.015104513615369797,
0.08345787972211838,
0.018537787720561028,
0.014224914833903313,
-0.021772442385554314,
0.018594535067677498,
0.04082096368074417,
0.020372649654746056,
0.036848582327365875,
-0.015340965241193771,
0.020372649654746056,
0.015936821699142456,
-0.021394120529294014,
0.027693184092640877,
-0.010261989198625088,
-0.03885369002819061,
0.04415019974112511,
0.038664527237415314,
0.004090608563274145,
-0.04131278395652771,
0.028166087344288826,
0.010829472914338112,
-0.030908923596143723,
-0.026369057595729828,
-0.0021115108393132687,
-0.012077935971319675,
0.00020393931481521577,
-0.02510167844593525,
0.0020677673164755106,
-0.004003121517598629,
-0.01275891624391079,
-0.002202544594183564,
-0.037056658416986465,
0.008824365213513374,
0.02515842579305172,
-0.0028823423199355602,
-0.025990735739469528,
0.0014340776251628995,
0.029528047889471054,
0.03575144708156586,
-0.015350422821938992,
-0.027806680649518967,
-0.0235883891582489,
0.01623002253472805,
0.0502033568918705,
-0.0246287751942873,
-0.030417105183005333,
0.021621113643050194,
0.018008137121796608,
0.009514803066849709,
-0.006904379930347204,
-0.01221034862101078,
-0.03976166248321533,
0.013496644794940948,
0.07456730306148529,
0.04029131308197975,
0.026331225410103798,
0.016220564022660255,
-0.04184243455529213,
-0.022756081074476242,
-0.027220282703638077,
-0.0013312211958691478,
-0.04857657104730606,
-0.010375486686825752,
-0.007656295318156481,
0.023418143391609192,
0.03382200375199318,
-0.03387875109910965,
0.02532867155969143,
0.007434030994772911,
0.010555189102888107,
0.013979005627334118,
0.016088152304291725,
-0.03569469973444939,
0.0016374257393181324,
-0.021677860990166664,
-0.027844512835144997,
0.031079169362783432,
0.013458812609314919,
0.009519532322883606,
0.0047313920222222805,
0.06499575078487396,
-0.001698903157375753,
0.022396674379706383,
0.04823607951402664,
-0.0351082980632782,
-0.052284128963947296,
0.013430438004434109,
-0.03507046774029732,
-0.02561241202056408,
-0.04237208515405655,
-0.03141965717077255,
0.012342761270701885,
0.007495508529245853,
0.02593398652970791,
-0.004118982702493668,
-0.05674833059310913,
-0.010318737477064133
] |
Recommender systems (RS) commonly retrieve potential candidate items for
users from a massive number of items by modeling user interests based on
historical interactions. However, historical interaction data is highly sparse,
and most items are long-tail items, which limits the representation learning
for item discovery. This problem is further augmented by the discovery of novel
or cold-start items. For example, after a user displays interest in bitcoin
financial investment shows in the podcast space, a recommender system may want
to suggest, e.g., a newly released blockchain episode from a more technical
show. Episode correlations help the discovery, especially when interaction data
of episodes is limited. Accordingly, we build upon the classical Two-Tower
model and introduce the novel Multi-Source Augmentations using a Contrastive
Learning framework (MSACL) to enhance episode embedding learning by
incorporating positive episodes from numerous correlated semantics. Extensive
experiments on a real-world podcast recommendation dataset from a large audio
streaming platform demonstrate the effectiveness of the proposed framework for
user podcast exploration and cold-start episode recommendation. | [
0.009755352512001991,
0.012653818354010582,
-0.043073635548353195,
-0.0461503230035305,
-0.011181134730577469,
-0.011790844611823559,
-0.06911291927099228,
0.00833895057439804,
-0.01958574540913105,
0.023168962448835373,
-0.009525539353489876,
-0.026189370080828667,
-0.004354733042418957,
-0.023994415998458862,
0.02301887981593609,
-0.01510203629732132,
0.017653435468673706,
0.03151729330420494,
0.014614268206059933,
0.012203570455312729,
0.0028585996478796005,
-0.046075280755758286,
0.010796548798680305,
0.07125159353017807,
0.022774996235966682,
0.01786918006837368,
0.001912377425469458,
-0.012635057792067528,
-0.09395155310630798,
0.010477623902261257,
0.021874502301216125,
-0.03204258158802986,
0.022962599992752075,
-0.023788051679730415,
-0.048851802945137024,
-0.000075993848440703,
0.08277041465044022,
0.05688120797276497,
0.006022054236382246,
-0.016077570617198944,
0.013666873797774315,
0.0038740006275475025,
-0.062134090811014175,
0.004645517561584711,
-0.013826336711645126,
-0.03690149635076523,
-0.02403193525969982,
-0.02159309759736061,
-0.02258739247918129,
-0.0272024255245924,
-0.018966656178236008,
-0.05781922489404678,
0.010243120603263378,
-0.012569396756589413,
-0.07781770080327988,
0.026058048009872437,
0.022005824372172356,
-0.02311268076300621,
0.04168537259101868,
0.03354340419173241,
-0.01246621459722519,
0.033674728125333786,
-0.037276703864336014,
0.009394217282533646,
0.01099353190511465,
-0.04153528809547424,
0.0491894893348217,
0.012278611771762371,
-0.017550254240632057,
-0.03879628702998161,
-0.07537885755300522,
0.02877829037606716,
0.06322219222784042,
0.0010787168284878135,
0.0073446547612547874,
0.03887132927775383,
0.06209656968712807,
0.05084039643406868,
-0.002957091201096773,
-0.01744707301259041,
0.020880207419395447,
0.05646848306059837,
0.03992190584540367,
0.07492861151695251,
0.042248181998729706,
-0.012456835247576237,
0.021161610260605812,
-0.06250929832458496,
-0.015646085143089294,
0.006941308733075857,
-0.014023318886756897,
0.013807576149702072,
-0.017597155645489693,
-0.02254987321794033,
-0.03894636780023575,
0.012137909419834614,
0.008254528976976871,
-0.0027530731167644262,
-0.07316514104604721,
0.005693749058991671,
-0.01975458860397339,
0.00020914795459248126,
-0.021836981177330017,
-0.012588157318532467,
0.03556951507925987,
-0.013226007111370564,
-0.015036375261843204,
0.0017834004247561097,
-0.026958541944622993,
0.07961868494749069,
0.02690226025879383,
-0.023600449785590172,
-0.029172256588935852,
0.04479958117008209,
0.0017341546481475234,
0.02007351443171501,
-0.022962599992752075,
-0.03528811037540436,
0.017634674906730652,
-0.08667255192995071,
0.008568763732910156,
0.02228722907602787,
-0.012916461564600468,
-0.016340214759111404,
-0.01615261286497116,
0.06637391448020935,
0.011528200469911098,
0.014201542362570763,
0.0435238815844059,
0.027014821767807007,
-0.04296107217669487,
0.04333627596497536,
-0.05147824436426163,
-0.05350435525178909,
0.045512471348047256,
0.02176194079220295,
0.006078334990888834,
0.018347566947340965,
0.020580042153596878,
-0.013160346075892448,
-0.010036757215857506,
-0.04127264395356178,
-0.011950306594371796,
-0.025270115584135056,
0.004411013796925545,
0.002431803150102496,
-0.02166813798248768,
0.02742754854261875,
-0.03131093084812164,
0.014361004345119,
0.01599314995110035,
0.0019604505505412817,
-0.0025256045628339052,
-0.006251867860555649,
0.03412497416138649,
0.028703248128294945,
0.002474013715982437,
-0.05189097300171852,
0.03677017614245415,
-0.014708070084452629,
0.06513573974370956,
-0.021818220615386963,
0.010168079286813736,
-0.002381384838372469,
0.05838203430175781,
-0.0457000732421875,
0.02967878431081772,
-0.0025232594925910234,
-0.0631096288561821,
0.0526789054274559,
-0.011565720662474632,
0.021311692893505096,
-0.026564575731754303,
0.042510826140642166,
0.024407140910625458,
0.009042461402714252,
0.04427429288625717,
-0.006242487579584122,
-0.09425171464681625,
0.05470501631498337,
-0.057894267141819,
0.024876149371266365,
0.04299859330058098,
-0.01751273311674595,
0.024482183158397675,
0.0030696529429405928,
0.05380452051758766,
-0.0007316514384001493,
-0.011303076520562172,
-0.02551399916410446,
0.03828975930809975,
0.02403193525969982,
0.09912939369678497,
-0.003132968908175826,
-0.013113444671034813,
-0.008474962785840034,
-0.01394827850162983,
-0.007649509701877832,
0.04408669099211693,
-0.0038575853686779737,
-0.017362652346491814,
-0.05841955542564392,
0.04329875856637955,
-0.004572821315377951,
0.046900734305381775,
0.031667374074459076,
0.05793178454041481,
0.049377091228961945,
-0.00945987831801176,
-0.041347686201334,
-0.008582834154367447,
-0.022080864757299423,
0.0055905673652887344,
0.0202423557639122,
0.05230369791388512,
0.0025654700584709644,
0.026977302506566048,
0.025232594460248947,
-0.021255413070321083,
0.013685634359717369,
0.02476358786225319,
-0.015514763072133064,
0.08156975358724594,
-0.02119913138449192,
0.03251158818602562,
-0.05800682678818703,
-0.031798698008060455,
-0.001350741134956479,
0.05252882093191147,
-0.03059803880751133,
0.014595508575439453,
0.01592748984694481,
-0.04641296714544296,
-0.0015746920835226774,
0.03147977218031883,
-0.02620813064277172,
0.015899349004030228,
-0.05327923223376274,
0.008775127120316029,
0.008943970315158367,
-0.020298637449741364,
0.032886795699596405,
-0.03435009717941284,
-0.01865711249411106,
0.02532639540731907,
-0.006547342520207167,
0.027934076264500618,
0.059657733887434006,
0.03731422498822212,
0.028890851885080338,
0.011312456801533699,
-0.03692025691270828,
-0.006439470686018467,
0.05932004749774933,
-0.009248824790120125,
0.006786535959690809,
0.05598071590065956,
-0.05684369057416916,
-0.008709466084837914,
-0.08262033015489578,
0.008817337453365326,
-0.008779817260801792,
0.008568763732910156,
0.03187374025583267,
0.028628207743167877,
-0.019960952922701836,
0.05635591968894005,
-0.05114056169986725,
-0.007147671654820442,
0.01743769273161888,
0.017662815749645233,
-0.023431606590747833,
-0.014445425942540169,
-0.07260233908891678,
0.005473315715789795,
-0.046638090163469315,
0.04761362448334694,
-0.02301887981593609,
0.016030671074986458,
0.00427734712138772,
0.036582570523023605,
0.01832880638539791,
0.03577588126063347,
0.02146177552640438,
-0.041797932237386703,
-0.025889204815030098,
-0.012475594878196716,
0.03042919561266899,
-0.07192696630954742,
-0.014051459729671478,
-0.020448720082640648,
-0.04108504205942154,
-0.03217390179634094,
0.0361323244869709,
0.07031358033418655,
0.020167315378785133,
0.013835716061294079,
0.06678664684295654,
0.06254681944847107,
-0.05890732258558273,
-0.017203189432621002,
0.025007471442222595,
0.024444662034511566,
0.006106475368142128,
-0.07586662471294403,
0.0027366578578948975,
0.0036606022622436285,
0.05500518158078194,
-0.02994142845273018,
-0.04386156424880028,
0.04153528809547424,
-0.026320692151784897,
-0.04434933513402939,
-0.014201542362570763,
-0.02123665250837803,
0.025438958778977394,
0.06764961779117584,
-0.0461503230035305,
0.0008078651153482497,
-0.0548550970852375,
-0.002408352680504322,
0.013741915114223957,
-0.10310657322406769,
0.010477623902261257,
-0.01734389178454876,
0.003766128793358803,
-0.002527949633076787,
0.002172676380723715,
0.00757446838542819,
0.03965926170349121,
-0.004539990797638893,
-0.06768713891506195,
0.009581820107996464,
-0.0018818919779732823,
-0.0016391805838793516,
0.02542019821703434,
0.0014820632059127092,
0.024651026353240013,
-0.042548347264528275,
-0.02041119895875454,
-0.02320648357272148,
0.006758395582437515,
0.009764732792973518,
0.00932855624705553,
0.03136720880866051,
0.02628317102789879,
-0.04712585732340813,
0.058306992053985596,
0.02954746223986149,
0.008709466084837914,
0.0011332390131428838,
-0.02693978138267994,
0.017747238278388977,
0.007565088104456663,
0.0439741276204586,
-0.0018420263659209013,
-0.011556340381503105,
-0.0003725677088368684,
0.019735828042030334,
0.0670117661356926,
-0.008798577822744846,
-0.07245225459337234,
-0.06596118956804276,
0.020054753869771957,
-0.05237874016165733,
-0.0032877414487302303,
0.03433133661746979,
-0.007837112993001938,
0.017137527465820312,
-0.020598802715539932,
-0.054780058562755585,
0.0023532442282885313,
-0.008343640714883804,
-0.014088979922235012,
-0.010308781638741493,
0.04059727489948273,
0.06370995938777924,
0.0018537514843046665,
-0.02911597490310669,
0.03435009717941284,
-0.02268119528889656,
0.0021621237974613905,
0.022043345496058464,
0.025532759726047516,
-0.004176510497927666,
0.03245530650019646,
0.006036124192178249,
0.014989474788308144,
-0.0626593828201294,
0.02819672040641308,
-0.005750029813498259,
-0.03029787354171276,
-0.007424386218190193,
-0.043673962354660034,
0.04100999981164932,
-0.03189249709248543,
0.0035550754982978106,
0.07027605921030045,
-0.012044108472764492,
0.00857345387339592,
-0.021443014964461327,
0.0061674462631344795,
0.013047783635556698,
0.062434256076812744,
-0.04404916986823082,
-0.0010042620124295354,
0.00945987831801176,
-0.0007169949822127819,
0.03973430022597313,
0.03924653306603432,
-0.010327541269361973,
-0.05759410187602043,
-0.020092274993658066,
0.03363720700144768,
0.05785674601793289,
0.06937556713819504,
-0.02298135869204998,
0.0013061853824183345,
-0.0031470393296331167,
0.04288602992892265,
-0.014436045661568642,
0.027183664962649345,
0.07346531003713608,
-0.02667713724076748,
-0.00789808388799429,
0.00869070552289486,
0.002914880635216832,
-0.03335580229759216,
-0.02607680857181549,
-0.05031510815024376,
0.05189097300171852,
0.028872091323137283,
0.029791345819830894,
-0.05144072324037552,
0.007630749139934778,
-0.012925841845571995,
0.007321204524487257,
0.022174667567014694,
-0.030279112979769707,
-0.03281175345182419,
-0.05811939015984535,
-0.032061342149972916,
-0.045024704188108444,
0.03352464362978935,
-0.012353653088212013,
-0.013657493516802788,
-0.05061527341604233,
-0.0391714908182621,
-0.03298059478402138,
-0.014942573383450508,
-0.07406564056873322,
-0.010196219198405743,
-0.07162679731845856,
-0.0077151707373559475,
0.027577631175518036,
0.007072630804032087,
0.03988438472151756,
-0.014576748013496399,
-0.01869463175535202,
-0.013807576149702072,
-0.004284381866455078,
0.011274936608970165,
0.028271762654185295,
-0.015899349004030228,
-0.004427429288625717,
0.01684674434363842,
-0.036620091646909714,
-0.013826336711645126,
-0.0020671498496085405,
-0.03299935534596443,
-0.006251867860555649,
-0.013404229655861855,
0.022906318306922913,
-0.0029547461308538914,
-0.007077320478856564,
0.001538344076834619,
-0.010974771343171597,
-0.07639191299676895,
0.03977182134985924,
-0.01642463728785515,
-0.00036523945163935423,
0.03455645963549614,
-0.008714156225323677,
0.033318281173706055,
0.027652673423290253,
0.021292932331562042,
-0.025701602920889854,
0.013920137658715248,
-0.026433253660798073,
-0.025832923129200935,
0.007185192313045263,
0.01655595935881138,
0.02799035795032978,
0.026714658364653587,
-0.004570476710796356,
-0.047951310873031616,
-0.008620355278253555,
-0.0060455044731497765,
0.08329570293426514,
-0.009389527142047882,
-0.02755887061357498,
0.03887132927775383,
-0.011931546963751316,
0.04682569205760956,
0.018056781962513924,
0.03277423232793808,
0.017550254240632057,
-0.04592519998550415,
0.01757839508354664,
-0.01421092264354229,
-0.001755259931087494,
0.023356566205620766,
0.03500670939683914,
0.0335058830678463,
-0.014004559256136417,
0.032755471765995026,
-0.01885409466922283,
-0.009155022911727428,
-0.01770033687353134,
-0.020955247804522514,
0.004617377184331417,
-0.022137146443128586,
-0.028234241530299187,
0.052603863179683685,
-0.01912611909210682,
0.0023215862456709146,
0.02416325733065605,
0.021518057212233543,
0.08569701761007309,
-0.0032173902727663517,
-0.047763705253601074,
0.024125738069415092,
-0.029434900730848312,
-0.03812091797590256,
0.019360622391104698,
-0.004160095006227493,
0.05200353264808655,
0.039846863597631454,
0.0008014162885956466,
-0.030485477298498154,
-0.032061342149972916,
0.0396217405796051,
0.014633028768002987,
0.04817643389105797,
-0.020186075940728188,
-0.003587906016036868,
0.0051450105383992195,
-0.04588767886161804,
-0.008165418170392513,
0.04840155690908432,
-0.014304723590612411,
0.0020835651084780693,
-0.006012673955410719,
-0.028740769252181053,
-0.02776523493230343,
-0.024482183158397675,
-0.013741915114223957,
-0.02558903954923153,
-0.01599314995110035,
-0.04461197927594185,
0.022230947390198708,
0.011349977925419807,
0.011537580750882626,
-0.020523760467767715,
0.0032596010714769363,
0.000682405661791563,
0.03378728777170181,
0.043936606496572495,
-0.000688854546751827,
-0.03652629256248474,
-0.030710600316524506,
0.027671432122588158,
-0.0043195574544370174,
-0.006064265035092831,
-0.045812636613845825,
0.05977029353380203,
-0.005609327927231789,
-0.04097248241305351,
-0.004411013796925545,
-0.03191125765442848,
-0.01320724654942751,
0.019144879654049873,
0.012822660617530346,
0.0211053304374218,
0.009206614457070827,
0.03703282028436661,
-0.005126249976456165,
-0.02829052321612835,
-0.02380681224167347,
0.0016626310534775257,
0.03660133108496666,
0.05710633471608162,
0.03069183975458145,
-0.004994927905499935,
-0.019604505971074104,
-0.015852447599172592,
-0.011265556327998638,
-0.033318281173706055,
0.021536817774176598,
-0.040409673005342484,
0.009450498037040234,
0.007189882453531027,
0.0019241025438532233,
-0.020186075940728188,
-0.042023058980703354,
-0.04059727489948273,
0.09147518873214722,
-0.0029101904947310686,
0.02693978138267994,
0.03857116401195526,
-0.047463543713092804,
-0.040634796023368835,
0.052904028445482254,
-0.028271762654185295,
0.02136797457933426,
-0.02680845931172371,
0.0478762686252594,
0.01323538739234209,
-0.017822278663516045,
-0.044499415904283524,
0.020354919135570526,
0.03729546442627907,
0.0613836795091629,
-0.009567749686539173,
-0.01635897532105446,
0.05001494288444519,
0.03669513389468193,
-0.029303578659892082,
0.0026452012825757265,
-0.021443014964461327,
-0.05819442868232727,
0.019529465585947037,
-0.019904671236872673,
-0.028346803039312363,
-0.022756235674023628,
-0.008915829472243786,
-0.0060455044731497765,
0.03299935534596443,
0.06235921382904053,
-0.022174667567014694,
-0.013638732954859734,
-0.009131573140621185,
-0.019923431798815727,
0.04025958850979805,
-0.007457216735929251,
0.031967539340257645,
-0.008010645397007465,
-0.02881581149995327,
0.06930052489042282,
-0.00882202759385109,
-0.009441117756068707,
0.001967485761269927,
0.026058048009872437,
0.03230522572994232,
-0.015223978087306023,
-0.011368737556040287,
0.011818984523415565,
0.035100508481264114,
-0.03444389998912811,
-0.0013413609704002738,
0.023844333365559578,
-0.026395732536911964,
0.025401437655091286,
-0.043411318212747574,
0.024913670495152473,
-0.0076588899828493595,
-0.012475594878196716,
-0.0035152100026607513,
-0.020054753869771957,
0.054554931819438934,
-0.012259852141141891,
-0.03033539466559887,
-0.03935909643769264,
0.013460510410368443,
0.022043345496058464,
-0.03725794330239296,
-0.00036465321318246424,
0.011293696239590645,
0.013038404285907745,
-0.02690226025879383,
-0.019510705024003983,
-0.02637697197496891,
-0.00048776762560009956,
-0.020580042153596878,
-0.024350861087441444,
-0.021311692893505096,
0.045024704188108444,
-0.01751273311674595,
-0.0400344654917717,
0.02080516517162323,
-0.023713011294603348,
0.00744314631447196,
0.020035993307828903,
0.001499650999903679,
0.0391714908182621,
0.044499415904283524,
-0.03147977218031883,
-0.008662565611302853,
-0.020617563277482986,
-0.006486371625214815,
-0.012137909419834614,
0.0039584217593073845,
-0.020223597064614296,
0.02772771380841732,
0.04727593809366226,
0.013150965794920921,
-0.0036887426394969225,
-0.0036863975692540407,
-0.041460249572992325,
-0.010618326254189014,
0.006434780545532703,
-0.01218481082469225,
-0.03215514123439789,
0.0158899687230587,
0.006495751440525055,
0.012775760143995285,
-0.005750029813498259,
-0.010290021076798439,
-0.015336539596319199,
0.03630116954445839,
0.009745972231030464,
0.06059574708342552,
0.046337924897670746,
-0.05414220690727234,
-0.01725008897483349,
-0.0020519071258604527,
0.017165668308734894,
0.01449232641607523,
0.014698689803481102,
-0.000023432046873494983,
0.04247330501675606,
0.00016180753300432116,
-0.024744827300310135,
0.01486753299832344,
0.027821514755487442,
0.03783951327204704,
-0.042248181998729706,
0.04956469684839249,
0.012072248384356499,
-0.004160095006227493,
0.035757120698690414,
-0.04183545336127281,
-0.0016696661477908492,
-0.03842107951641083,
0.038233477622270584,
0.032192662358284,
0.026620855554938316,
0.015158317051827908,
-0.013310427777469158,
0.0032572560012340546,
0.02628317102789879,
-0.012982122600078583,
0.028177959844470024,
-0.04600023850798607,
-0.058607157319784164,
0.03999694436788559,
-0.0052012912929058075,
0.010777788236737251,
-0.01783165894448757,
-0.06386003643274307,
0.035456955432891846,
0.02551399916410446,
-0.03268042951822281,
0.009736591950058937,
0.024182017892599106,
0.00892051961272955,
-0.02598300576210022,
0.00998985581099987,
-0.01020559947937727,
-0.021480536088347435,
0.0308982040733099,
-0.00516846077516675,
0.018947895616292953,
-0.04975229874253273,
0.009525539353489876,
-0.005154390819370747,
0.018281906843185425,
-0.0024552533868700266,
-0.020298637449741364,
0.011246795766055584,
-0.00855469424277544,
0.03556951507925987,
-0.020598802715539932,
0.005388894118368626,
-0.032061342149972916,
0.029040934517979622,
-0.004962097387760878,
-0.04539991170167923,
0.023431606590747833,
-0.029960189014673233,
0.02337532490491867,
-0.03406869247555733,
0.01582430675625801,
-0.03491290658712387,
0.06329722702503204,
-0.0018162309424951673,
0.006716185249388218,
-0.00810913648456335,
0.01549600251019001,
-0.03200506046414375,
0.04986485838890076,
-0.03346836194396019,
0.02176194079220295,
0.0509154349565506,
-0.026170609518885612,
-0.03356216475367546,
0.005027758423238993,
0.0015606218948960304,
-0.005750029813498259,
0.026039287447929382,
0.0350254662334919,
0.03239902853965759,
0.020523760467767715,
-0.0028328043408691883,
0.03007275052368641,
0.014454806223511696,
-0.02363796904683113,
0.01919178105890751,
-0.03590720146894455,
-0.028478125110268593,
0.014004559256136417,
-0.006608313415199518,
-0.0319862999022007,
-0.008038785308599472,
0.0001521342492196709,
0.008137277327477932,
0.013507410883903503,
0.03226770460605621,
0.051778409630060196,
0.0025115343742072582,
0.0022406824864447117,
-0.047688666731119156,
0.004054568242281675,
0.01975458860397339,
-0.03748306632041931,
0.0272024255245924,
0.019867150112986565,
0.01981087028980255,
0.008817337453365326,
0.042773470282554626,
-0.0038435151800513268,
0.010515144094824791,
-0.01889161579310894,
-0.05192849040031433,
-0.01236303336918354,
0.007560398429632187,
-0.03286803513765335,
0.018872855231165886,
0.005553046707063913,
0.005923562683165073,
-0.014332864433526993,
0.02463226579129696,
0.00415540486574173,
-0.03213638439774513,
-0.03324323892593384,
0.022474830970168114,
-0.02106780931353569,
0.008367090485990047,
0.04630040377378464,
-0.005318543408066034,
0.08059421926736832,
0.01377943530678749,
-0.02598300576210022,
0.009169093333184719,
0.02654581516981125,
0.039321575313806534,
0.014642409048974514,
-0.05639344081282616,
-0.03200506046414375,
-0.052641384303569794,
0.036620091646909714,
0.04131016507744789,
-0.007490047253668308,
0.0022266122978180647,
-0.020261116325855255,
0.029528701677918434,
0.01671542227268219,
-0.01878843456506729,
0.01578678749501705,
-0.01843198761343956,
0.04239826276898384,
-0.0014164021704345942,
0.0805191770195961,
-0.012691338546574116,
0.022043345496058464,
-0.024313339963555336,
-0.02146177552640438,
0.0005610500229522586,
-0.008254528976976871,
-0.01655595935881138,
0.012606916949152946,
0.035625796765089035,
0.019773349165916443,
0.00529978284612298,
0.022512352094054222,
0.015852447599172592,
-0.008948659524321556,
-0.013826336711645126,
0.01932310312986374,
-0.013019643723964691,
-0.0017165668541565537,
-0.039321575313806534,
-0.035888440907001495,
-0.01205348875373602,
0.07627934962511063,
0.022624913603067398,
-0.0012815624941140413,
-0.03995942324399948,
0.03007275052368641,
-0.04070983827114105,
0.000857110891956836,
-0.04187297448515892,
0.04161033034324646,
-0.017794137820601463,
0.006204966921359301,
-0.05294154956936836,
0.01271009910851717,
0.0041296095587313175,
0.0339561328291893,
0.029453661292791367,
0.028965892270207405,
0.036019764840602875,
0.03420001640915871,
0.04194801673293114,
-0.028065398335456848,
0.026058048009872437,
0.014792491681873798,
0.02598300576210022,
0.0044344644993543625,
-0.009699071757495403,
-0.042548347264528275,
0.01541158091276884,
-0.0018678216729313135,
-0.014708070084452629,
0.012353653088212013,
0.008367090485990047,
-0.05008998513221741,
0.014135881327092648,
-0.003981872461736202,
-0.0029477111529558897,
-0.02802787907421589,
0.004800289869308472,
-0.025101272389292717,
0.01655595935881138,
-0.013047783635556698,
0.006786535959690809,
-0.02693978138267994,
-0.0004320730222389102,
-0.004844845738261938,
0.011425018310546875,
-0.041422728449106216,
-0.0005375996697694063,
-0.02845936454832554,
0.013854476623237133,
0.0012088663643226027,
0.02877829037606716,
-0.03125464916229248,
0.013938898220658302,
-0.00994295533746481,
-0.025757882744073868,
-0.008601594716310501,
0.018769674003124237,
0.024294579401612282,
-0.0014269548701122403,
-0.03647001087665558,
0.014042079448699951,
-0.006730255205184221,
-0.02354416809976101,
-0.022137146443128586,
0.03695777803659439,
0.010740268044173717,
-0.017062487080693245,
-0.012006587348878384,
0.0034354787785559893,
0.046638090163469315,
0.007480666972696781,
-0.0069272383116185665,
-0.011612622067332268,
-0.03292431682348251,
0.02080516517162323,
0.01843198761343956,
0.009136263281106949,
0.06727441400289536,
0.030935723334550858,
0.006542652379721403,
-0.0014797181356698275,
0.018610211089253426,
0.004373493604362011,
0.00015741058450657874,
-0.007227403111755848,
-0.018553929403424263,
-0.011274936608970165,
0.03722042217850685,
0.000990777974948287,
-0.08727288246154785,
-0.016096331179142,
-0.018150584772229195,
0.008620355278253555,
-0.00245994352735579,
0.003733298508450389,
-0.020223597064614296,
0.0004238653928041458,
0.016996825113892555,
0.04630040377378464,
-0.014557987451553345,
0.02716490440070629,
0.06085839122533798,
-0.02202458493411541,
-0.06220913305878639,
0.04055975377559662,
0.030447956174612045,
0.006852196995168924,
-0.05823194980621338,
-0.006495751440525055,
-0.0042069959454238415,
0.009295725263655186,
-0.006242487579584122,
-0.014520467258989811,
0.02881581149995327,
-0.017728477716445923,
0.018647732213139534,
-0.03294307366013527,
0.00994295533746481,
0.001833818736486137
] |
We propose to integrate weapon system features (such as weapon system
manufacturer, deployment time and location, storage time and location, etc.)
into a parameterized Cox-Weibull [1] reliability model via a neural network,
like DeepSurv [2], to improve predictive maintenance. In parallel, we develop
an alternative Bayesian model by parameterizing the Weibull parameters with a
neural network and employing dropout methods such as Monte-Carlo (MC)-dropout
for comparative purposes. Due to data collection procedures in weapon system
testing we employ a novel interval-censored log-likelihood which incorporates
Monte-Carlo Markov Chain (MCMC) [3] sampling of the Weibull parameters during
gradient descent optimization. We compare classification metrics such as
receiver operator curve (ROC) area under the curve (AUC), precision-recall (PR)
AUC, and F scores to show our model generally outperforms traditional powerful
models such as XGBoost and the current standard conditional Weibull probability
density estimation model. | [
-0.0021713830064982176,
0.010452503338456154,
-0.02922718971967697,
0.0027076960541307926,
0.035379234701395035,
-0.02303532510995865,
-0.069245345890522,
0.0368923582136631,
0.013239837251603603,
0.01742083951830864,
0.0721123144030571,
-0.055029939860105515,
0.00821765884757042,
0.007769694086164236,
0.019849801436066628,
0.012184632010757923,
0.00872037373483181,
0.0004862280620727688,
0.023732159286737442,
-0.05737926438450813,
0.027992799878120422,
0.012771963141858578,
-0.014085992239415646,
0.04650866240262985,
0.009088700637221336,
0.028968365862965584,
0.0035911814775317907,
-0.0011416871566325426,
-0.0851331502199173,
0.02624076046049595,
0.07422272861003876,
0.05140640586614609,
-0.03042176179587841,
0.013976490125060081,
-0.0016076945466920733,
-0.033169277012348175,
0.038783762603998184,
0.0584941990673542,
-0.011925808154046535,
0.028490537777543068,
0.04312404245138168,
-0.08505351096391678,
0.010860648937523365,
-0.013886896893382072,
0.0807928740978241,
-0.013319475576281548,
-0.00989503599703312,
-0.013299565762281418,
0.02080545946955681,
0.0038325844798237085,
0.01949143037199974,
-0.07920011132955551,
0.004096385557204485,
0.01421540416777134,
-0.03179552033543587,
-0.008949333801865578,
0.07310779392719269,
0.06064442917704582,
0.05303898826241493,
0.015071514062583447,
0.009491868317127228,
0.04989328235387802,
-0.028609994798898697,
0.008242545649409294,
-0.018117671832442284,
-0.010452503338456154,
0.069842629134655,
-0.03279099613428116,
0.000586397887673229,
-0.03784801810979843,
-0.05017201602458954,
0.005400459747761488,
0.024249807000160217,
0.0038226298056542873,
-0.011029879562556744,
-0.0004744067555293441,
0.04595119506120682,
0.07374490052461624,
0.030819952487945557,
0.051486045122146606,
0.047464318573474884,
0.029207279905676842,
-0.05753854289650917,
0.054153922945261,
0.047265224158763885,
-0.04579192027449608,
-0.00433530006557703,
-0.08855758607387543,
-0.01964075118303299,
-0.03894304111599922,
-0.06952407956123352,
0.00874028354883194,
-0.005848424509167671,
0.015559297986328602,
-0.028888728469610214,
0.0688471570611,
-0.026897775009274483,
0.01637558825314045,
-0.040675170719623566,
0.025464288890361786,
0.04105345159769058,
0.06255574524402618,
0.01090046763420105,
0.029705017805099487,
-0.0059877908788621426,
-0.069046251475811,
-0.027714066207408905,
0.020118579268455505,
-0.009715850464999676,
0.15386085212230682,
-0.0413321852684021,
0.015758393332362175,
-0.009800465777516365,
-0.03776837885379791,
-0.04467698559165001,
-0.020407268777489662,
-0.01960093155503273,
-0.07163448631763458,
-0.0075506893917918205,
-0.027534879744052887,
0.026280580088496208,
0.07884173840284348,
0.03874394670128822,
0.003197968238964677,
0.0035638059489428997,
0.05120731145143509,
0.05522903427481651,
-0.05260097607970238,
0.03147696703672409,
-0.023314058780670166,
-0.023075144737958908,
-0.006988245062530041,
-0.05100821703672409,
-0.03890322148799896,
0.0020096180960536003,
0.0026604109443724155,
0.029187370091676712,
-0.030262485146522522,
-0.03450321406126022,
-0.0393611416220665,
0.005285980179905891,
-0.057299625128507614,
0.037609100341796875,
0.043920423835515976,
0.03380637988448143,
0.023254331201314926,
0.012632596306502819,
0.049534909427165985,
-0.0003397063410375267,
-0.0058782887645065784,
-0.07613404095172882,
0.009586438536643982,
0.04431861266493797,
0.08863722532987595,
0.06406886875629425,
0.007476028520613909,
-0.042009107768535614,
0.013488706201314926,
-0.01620635762810707,
-0.03782810643315315,
-0.01532038301229477,
0.01138825062662363,
-0.025305012241005898,
0.0456724613904953,
-0.0033721765503287315,
0.01532038301229477,
0.01419549435377121,
-0.04224802181124687,
-0.11061734706163406,
0.026718588545918465,
-0.025703202933073044,
-0.06124171242117882,
0.0047484226524829865,
0.014056128449738026,
0.019152967259287834,
0.07489965111017227,
-0.009098655544221401,
0.03237289562821388,
-0.004009281750768423,
0.007187340408563614,
-0.05459193140268326,
0.041849832981824875,
0.010019470937550068,
-0.004034168552607298,
0.05200369283556938,
0.015409976243972778,
0.06426796317100525,
-0.007122634444385767,
-0.03066067583858967,
0.01831676810979843,
0.03942086920142174,
-0.016724005341529846,
0.023254331201314926,
0.01025340799242258,
-0.014344816096127033,
-0.0054751206189394,
-0.022477859631180763,
-0.007859286852180958,
-0.009257931262254715,
-0.004536883905529976,
-0.009835307486355305,
-0.03177560865879059,
-0.003377154003828764,
-0.060445331037044525,
0.02701723203063011,
0.03362719714641571,
0.0368923582136631,
-0.004514486063271761,
0.004606567323207855,
-0.0010564493713900447,
-0.05017201602458954,
-0.03064076602458954,
-0.05881275236606598,
0.0005556003306992352,
-0.02616112306714058,
0.032293256372213364,
-0.0036807742435485125,
-0.008028517477214336,
0.00272013945505023,
-0.00868553202599287,
0.0014795269817113876,
0.029983751475811005,
0.0438009649515152,
-0.027933070436120033,
-0.09142456203699112,
0.020267901942133904,
0.033029910176992416,
0.011796396225690842,
0.008222635835409164,
-0.0008623315370641649,
-0.006271502003073692,
0.024588270112872124,
0.028689632192254066,
0.01943170092999935,
-0.0058135828003287315,
0.017171969637274742,
0.04559282213449478,
-0.04826069995760918,
-0.024508630856871605,
0.0016574683832004666,
0.0038997791707515717,
-0.014175585471093655,
-0.03400547802448273,
-0.03378647193312645,
0.018864279612898827,
0.040774717926979065,
0.006032587494701147,
0.05678197741508484,
-0.03460276126861572,
0.04388060420751572,
-0.0012841647258028388,
-0.04471680521965027,
0.0021975142881274223,
0.012682370841503143,
-0.03551860153675079,
-0.006699556950479746,
0.06024623662233353,
0.020924916490912437,
0.05578650161623955,
-0.023513155058026314,
0.007804535795003176,
-0.03448330610990524,
-0.012294135056436062,
0.04543354734778404,
0.015549343079328537,
-0.015828076750040054,
0.056264329701662064,
0.01844617910683155,
0.020287811756134033,
-0.0009929877705872059,
-0.00002226212018285878,
-0.04053580388426781,
-0.011577391996979713,
-0.03601634129881859,
0.028629904612898827,
-0.06251592189073563,
0.033109549432992935,
0.018824459984898567,
-0.02411044016480446,
0.021462474018335342,
-0.02825162373483181,
0.054552111774683,
0.011099562980234623,
-0.0237719789147377,
-0.016962919384241104,
-0.05865347385406494,
-0.057140350341796875,
-0.003912222571671009,
-0.024488721042871475,
0.020387358963489532,
-0.011587345972657204,
-0.0018428758485242724,
0.022338492795825005,
-0.010143905878067017,
0.039540328085422516,
0.001585296355187893,
-0.004850459285080433,
-0.027495060116052628,
0.01351857092231512,
0.007242091465741396,
-0.04786251112818718,
0.020188262686133385,
0.0071972948499023914,
0.011706803925335407,
0.004223308991640806,
-0.021163830533623695,
0.04145164042711258,
0.01088055782020092,
0.005763808730989695,
-0.019172877073287964,
-0.004703626502305269,
-0.014036218635737896,
-0.04694667086005211,
-0.04105345159769058,
0.03346791863441467,
0.06785167753696442,
0.016853416338562965,
-0.015459749847650528,
-0.03054121881723404,
-0.03559824079275131,
-0.0038500053342431784,
0.03806702047586441,
-0.10934314131736755,
0.019302289932966232,
-0.007804535795003176,
-0.004116295371204615,
-0.020247992128133774,
0.0675729438662529,
-0.0636308565735817,
-0.009173315949738026,
-0.01520092599093914,
-0.028570175170898438,
-0.039619963616132736,
-0.0102832717821002,
-0.03066067583858967,
-0.02490682154893875,
-0.05140640586614609,
0.008312229067087173,
-0.003357244422659278,
-0.016554774716496468,
-0.0025110894348472357,
-0.017072422429919243,
-0.04786251112818718,
-0.04439825192093849,
-0.020486906170845032,
-0.021960211917757988,
-0.03784801810979843,
0.016654321923851967,
-0.012065174989402294,
0.00007326084596570581,
0.0012063931208103895,
-0.036553896963596344,
0.002889370545744896,
-0.009009062312543392,
0.022657044231891632,
0.018744822591543198,
0.044000059366226196,
-0.009904990904033184,
-0.03563805669546127,
-0.02164165861904621,
-0.018266994506120682,
-0.05964894965291023,
-0.01848599873483181,
0.0054452563636004925,
-0.0038898244965821505,
-0.019730344414711,
0.0028122211806476116,
-0.020297765731811523,
0.011019924655556679,
0.03050139918923378,
0.04714576527476311,
0.08146979659795761,
0.05797655135393143,
0.005509962327778339,
-0.02080545946955681,
-0.043044403195381165,
0.01756020449101925,
0.010153859853744507,
-0.045154813677072525,
0.03850502893328667,
-0.010681462474167347,
0.002600682433694601,
-0.04037652537226677,
-0.021243467926979065,
0.019969258457422256,
-0.009616303257644176,
-0.0025683294516056776,
-0.015758393332362175,
-0.0015877849655225873,
0.035219959914684296,
0.005624442361295223,
-0.028888728469610214,
0.010532141663134098,
-0.04324349761009216,
0.029784657061100006,
0.015429886057972908,
0.007421277463436127,
0.022119488567113876,
0.04873852804303169,
-0.02719641849398613,
-0.04039643704891205,
0.0294461939483881,
0.02401089295744896,
0.03257199004292488,
-0.015549343079328537,
0.025683293119072914,
-0.028510447591543198,
0.00025384651962667704,
-0.014314952306449413,
0.027972890064120293,
-0.008013585582375526,
0.05948967486619949,
0.005490052979439497,
-0.018814506009221077,
0.03770865127444267,
0.05252134054899216,
-0.04993310198187828,
-0.01851586252450943,
-0.04595119506120682,
-0.023154783993959427,
-0.00568914832547307,
0.012214496731758118,
0.0723114088177681,
0.020427176728844643,
-0.026619041338562965,
0.019003646448254585,
-0.05411410331726074,
-0.02291586808860302,
0.04356205090880394,
-0.06012678146362305,
0.03687245026230812,
-0.008600916713476181,
0.05566704645752907,
-0.06251592189073563,
-0.005470143165439367,
0.03408511355519295,
-0.03721091151237488,
0.012891420163214207,
-0.05753854289650917,
-0.009412229992449284,
-0.038544848561286926,
0.05471138656139374,
-0.02504618838429451,
-0.029087822884321213,
-0.022219035774469376,
-0.0721123144030571,
-0.014474228024482727,
-0.006410868838429451,
-0.018864279612898827,
-0.0027450264897197485,
-0.06080370396375656,
0.049614548683166504,
0.027952980250120163,
0.012095039710402489,
0.01836654171347618,
-0.025404559448361397,
0.012114948593080044,
-0.04559282213449478,
0.02293577790260315,
0.017221743240952492,
-0.029764747247099876,
0.0843367651104927,
0.0036110910587012768,
0.008804989978671074,
0.022039849311113358,
0.04662811756134033,
0.013847078196704388,
-0.031098686158657074,
0.004546838812530041,
0.033248916268348694,
0.016952965408563614,
-0.004521952010691166,
0.04161091893911362,
-0.012184632010757923,
-0.0017296404112130404,
0.012114948593080044,
-0.02164165861904621,
-0.08258473128080368,
-0.014036218635737896,
0.0041884672828018665,
0.009690963663160801,
-0.012602732516825199,
0.02070591039955616,
-0.009671053849160671,
-0.018734866753220558,
-0.0054452563636004925,
0.005748876836150885,
-0.012164723128080368,
0.012752054259181023,
0.034244392067193985,
0.009984629228711128,
-0.011666984297335148,
-0.07756752520799637,
-0.004235752392560244,
0.010099109262228012,
0.0019474008586257696,
0.003688240423798561,
0.018137581646442413,
0.07637295871973038,
-0.004290503915399313,
0.03054121881723404,
-0.04786251112818718,
-0.01301087811589241,
0.026698678731918335,
-0.04419915750622749,
0.012722189538180828,
0.028968365862965584,
-0.01865522935986519,
0.02514573559165001,
0.01863531954586506,
-0.008844808675348759,
-0.0069733127020299435,
0.02164165861904621,
-0.04145164042711258,
0.045353908091783524,
-0.013289610855281353,
-0.023632612079381943,
0.003416973166167736,
0.030083298683166504,
0.0588923878967762,
0.04439825192093849,
0.010263362899422646,
-0.033268824219703674,
0.04276566952466965,
-0.004342766012996435,
0.014265177771449089,
0.002625569235533476,
-0.011318568140268326,
0.036514077335596085,
0.00047316242125816643,
-0.030222665518522263,
0.07366526126861572,
-0.02721632644534111,
-0.0783240869641304,
-0.04260639473795891,
-0.022258853539824486,
-0.014205449260771275,
0.04149146005511284,
-0.0417303740978241,
-0.014235313981771469,
-0.021203650161623955,
0.005470143165439367,
-0.0056045325472950935,
-0.015987353399395943,
0.0020121068228036165,
-0.021343015134334564,
0.046309567987918854,
-0.04706612974405289,
-0.02381179854273796,
-0.036474257707595825,
-0.04782269150018692,
0.011089608073234558,
0.034264300018548965,
0.01299096830189228,
-0.015927623957395554,
-0.020357495173811913,
-0.029008185490965843,
-0.015758393332362175,
0.010402729734778404,
-0.016017217189073563,
0.004940052051097155,
-0.01152761746197939,
-0.046349383890628815,
0.0058135828003287315,
-0.011019924655556679,
-0.04698649048805237,
-0.013369249179959297,
0.01851586252450943,
-0.0021552066318690777,
0.010074222460389137,
0.01838645152747631,
-0.01730138063430786,
-0.00017109751934185624,
-0.011965627782046795,
-0.010014493949711323,
-0.02930682711303234,
0.013219927437603474,
-0.02614121325314045,
0.008600916713476181,
0.005534849129617214,
0.0007970033911988139,
-0.010014493949711323,
-0.009526710025966167,
0.02494664117693901,
0.012771963141858578,
0.005365618504583836,
0.002842085435986519,
-0.018057944253087044,
0.022219035774469376,
-0.012035311199724674,
-0.0022871072869747877,
0.012304089032113552,
-0.004223308991640806,
0.009223089553415775,
-0.08282364159822464,
-0.024528540670871735,
-0.019073329865932465,
-0.022438040003180504,
0.07278924435377121,
-0.0477430522441864,
-0.010243453085422516,
0.03384619951248169,
0.005977836437523365,
0.04208874702453613,
-0.045314088463783264,
0.03810684010386467,
-0.005808605346828699,
0.00229208474047482,
-0.018754776567220688,
0.036394622176885605,
-0.00028231090982444584,
-0.02058645337820053,
0.07155484706163406,
-0.015718573704361916,
0.01955115795135498,
0.002395365387201309,
0.026638951152563095,
0.026638951152563095,
-0.014553866349160671,
0.035180140286684036,
0.05299916863441467,
-0.006127157714217901,
0.007690055761486292,
-0.0217013880610466,
0.010173769667744637,
0.019013600423932076,
0.012353863567113876,
0.002710184780880809,
-0.007973766885697842,
-0.03135750815272331,
-0.03818647935986519,
-0.009427162818610668,
0.00732172979041934,
0.006993222516030073,
0.04686703160405159,
-0.01190589927136898,
0.03938104957342148,
0.013936670497059822,
-0.0016624457202851772,
0.0109502412378788,
0.018207265064120293,
0.017799120396375656,
-0.013647982850670815,
0.03486158698797226,
0.004870368633419275,
0.012622642330825329,
0.019939394667744637,
-0.02182084508240223,
0.056981075555086136,
0.011059744283556938,
0.0053257993422448635,
0.034343939274549484,
0.007262000814080238,
0.04049598425626755,
0.017042556777596474,
-0.03816656768321991,
0.05789691209793091,
0.01517106220126152,
-0.03175570070743561,
0.013209973461925983,
-0.03784801810979843,
0.027992799878120422,
-0.016505001112818718,
0.018864279612898827,
0.006346162408590317,
0.013438932597637177,
0.005977836437523365,
0.010084176436066628,
-0.02383170649409294,
-0.006012678146362305,
0.04220820218324661,
-0.0830625593662262,
-0.05761817842721939,
0.012771963141858578,
0.013070606626570225,
-0.004031679593026638,
-0.03149687498807907,
0.06128153204917908,
0.02062627300620079,
-0.025583745911717415,
-0.005136658903211355,
0.034164752811193466,
-0.054353017359972,
0.006769240368157625,
-0.023154783993959427,
-0.005305889528244734,
0.010751145891845226,
-0.00519638741388917,
-0.06594036519527435,
0.026619041338562965,
-0.03826611489057541,
-0.03731045871973038,
-0.0007074105087667704,
0.005156568251550198,
0.02630048803985119,
-0.0020183285232633352,
-0.007779648993164301,
-0.015141197480261326,
-0.013140290044248104,
0.020267901942133904,
-0.014235313981771469,
0.00035401631612330675,
-0.012314043939113617,
0.02192039228975773,
0.03549869358539581,
-0.02072582021355629,
0.0006601253408007324,
-0.012124903500080109,
-0.0719132199883461,
-0.023294150829315186,
-0.0029067914001643658,
0.003937109373509884,
-0.020486906170845032,
0.024568360298871994,
0.04818106070160866,
0.012622642330825329,
-0.019133057445287704,
-0.014533956535160542,
-0.011597300879657269,
0.021303197368979454,
0.0325520820915699,
0.019272424280643463,
0.009063813835382462,
-0.03167606145143509,
-0.0163258146494627,
-0.004235752392560244,
0.04027697816491127,
-0.0005493785720318556,
-0.03820638731122017,
0.008526256307959557,
0.008352047763764858,
0.003820141078904271,
-0.03167606145143509,
-0.0007354082772508264,
0.044000059366226196,
-0.00867557805031538,
-0.008446617983281612,
0.010542095638811588,
0.0077746715396642685,
0.005076929926872253,
0.03271135687828064,
-0.00928779598325491,
0.03191497549414635,
-0.023493245244026184,
-0.0016649344470351934,
0.022378312423825264,
0.00868553202599287,
-0.020466996356844902,
-0.03382629156112671,
0.03448330610990524,
0.04121272638440132,
0.004459734540432692,
0.05542813241481781,
-0.0061570219695568085,
-0.03368692472577095,
-0.008267432451248169,
-0.003357244422659278,
0.017122196033596992,
-0.00815792940557003,
-0.00007329973595915362,
-0.018028078600764275,
0.06848878413438797,
0.023552974686026573,
0.003292538458481431,
0.0607638843357563,
-0.014404544606804848,
-0.035359326750040054,
-0.010512231849133968,
0.040814537554979324,
-0.0019250026671215892,
-0.00763530470430851,
0.03595660999417305,
0.015788257122039795,
-0.05335754156112671,
0.012274225242435932,
-0.017042556777596474,
0.0326516292989254,
0.005121726542711258,
0.00009114831482293084,
-0.015628980472683907,
-0.024727636948227882,
0.0027748907450586557,
-0.05952949449419975,
0.03551860153675079,
-0.014175585471093655,
-0.006057474296540022,
-0.001182750565931201,
-0.013787349686026573,
-0.006361094769090414,
0.008023540489375591,
-0.04332313686609268,
-0.021104101091623306,
-0.0031755699310451746,
-0.009063813835382462,
0.06175936013460159,
0.024249807000160217,
0.0023767000529915094,
0.07724897563457489,
-0.0016201379476115108,
-0.009377388283610344,
0.030780132859945297,
-0.005380550399422646,
-0.047225404530763626,
0.013190063647925854,
-0.0217013880610466,
-0.007859286852180958,
-0.04336295649409294,
-0.03263171762228012,
-0.004275571554899216,
0.01970048062503338,
-0.008357024751603603,
0.004511997103691101,
0.002824664581567049,
0.005714035127311945,
0.0372905507683754,
0.0049425410106778145,
-0.026838045567274094,
0.04033670574426651,
0.0013339384458959103,
0.0014932147460058331,
0.009392321109771729,
-0.026539403945207596,
0.010681462474167347,
-0.03340819105505943,
0.018973782658576965,
0.0015989841194823384,
0.011099562980234623,
0.015847986564040184,
0.05566704645752907,
-0.019939394667744637,
0.015579206869006157,
0.03516022861003876,
-0.008337115868926048,
-0.0413321852684021,
-0.05773763731122017,
0.04280548915266991,
0.007704988121986389,
-0.006963358260691166,
-0.03677290305495262,
0.06375031173229218,
0.007366525940597057,
-0.0054452563636004925,
-0.013747530058026314,
0.0069583808071911335,
-0.0012754542985931039,
0.014205449260771275,
0.02494664117693901,
0.01845613494515419,
0.017799120396375656,
0.010313136503100395,
0.05311862379312515,
0.04368150979280472,
0.003180547384545207,
0.005788695998489857,
0.01756020449101925,
0.0059877908788621426,
0.02283623069524765,
0.007391412742435932,
-0.0077248974703252316,
0.019013600423932076,
0.030680585652589798,
-0.02082536742091179,
-0.018814506009221077,
0.0045169745571911335,
0.03677290305495262,
0.04165073484182358,
0.0022535098250955343,
-0.05299916863441467,
0.008800012059509754,
-0.04670775681734085,
0.0005428457516245544,
-0.024787364527583122,
-0.03782810643315315,
0.044000059366226196,
0.02518555521965027,
-0.03249235451221466,
0.016614502295851707,
0.024190079420804977,
0.04029688984155655,
-0.0030187824741005898,
-0.014842554926872253,
-0.0070131318643689156,
0.05319826304912567,
-0.036613624542951584,
0.04682721570134163,
-0.022557497024536133,
-0.031178323552012444,
-0.0076153953559696674,
-0.004101363010704517,
-0.02512582577764988,
0.005290957633405924,
0.0520833283662796,
-0.003267651656642556,
-0.040575623512268066,
0.015658846125006676,
-0.030043480917811394,
0.00710770208388567,
0.017102286219596863,
0.003874892136082053,
0.01152761746197939,
0.0018378985114395618,
-0.03904258832335472,
-0.012752054259181023,
-0.025424469262361526,
-0.007973766885697842,
0.004176023881882429,
0.0038126748986542225,
-0.0008897071238607168,
0.0372905507683754,
0.006898652296513319,
0.004081453662365675,
-0.006385981570929289,
0.02614121325314045,
0.01747061312198639,
0.03922177478671074,
0.04865889251232147,
-0.03733036667108536,
-0.007067882921546698,
0.009979652240872383,
-0.04559282213449478,
-0.010148882865905762,
-0.027694156393408775,
-0.006127157714217901,
0.037469733506441116,
-0.005504984874278307,
0.02735569328069687,
0.019083283841609955,
-0.005719012580811977,
-0.013647982850670815,
0.004044123459607363,
-0.027534879744052887,
0.011368341743946075,
0.03504077345132828,
0.0055647133849561214,
0.020098669454455376,
0.001032184693031013,
0.030103208497166634,
0.013737575151026249,
0.0051167490892112255,
-0.028749361634254456,
-0.052561160176992416,
0.029028095304965973,
0.00923304446041584,
-0.02711677923798561,
-0.004171046428382397,
-0.023433515802025795,
0.044119518250226974,
0.02082536742091179,
-0.027714066207408905,
0.06060460954904556,
0.006271502003073692,
-0.024707727134227753,
0.0005916863447055221,
-0.03830593451857567,
0.01144798006862402,
0.029804566875100136,
-0.015907714143395424,
-0.030760223045945168,
-0.022378312423825264,
0.020228082314133644,
-0.0015355225186794996,
-0.013558389618992805,
-0.039679691195487976,
-0.011000014841556549,
0.0005733322468586266,
0.005039599724113941,
-0.019033510237932205,
-0.020028987899422646,
-0.01969052478671074,
0.0005667994264513254,
0.01518101617693901,
-0.02504618838429451,
0.01946156471967697,
0.009521733038127422,
-0.02948601357638836,
0.04272584989666939,
-0.002165161306038499,
-0.027495060116052628,
0.0010483611840754747,
0.024727636948227882,
0.046269748359918594,
-0.02192039228975773,
0.000007995892701728735,
-0.00488032354041934,
-0.02602175623178482,
-0.039679691195487976,
-0.0035513623151928186,
0.026380127295851707,
-0.0498136430978775,
0.037549372762441635,
-0.038823582231998444,
-0.0004877834871876985,
-0.011368341743946075,
-0.015111332759261131,
-0.04027697816491127,
0.011039834469556808,
-0.008386889472603798,
-0.016813598573207855,
-0.0062615470960736275,
-0.0008125577005557716,
-0.009038926102221012,
0.00977557897567749,
-0.03042176179587841,
0.05630414932966232,
-0.03723081946372986,
-0.01078101061284542,
0.03770865127444267,
-0.023493245244026184,
-0.025225374847650528,
-0.00020298387971706688,
-0.01636563427746296,
-0.05534849315881729,
-0.0025384649634361267,
0.007739829830825329,
-0.03163624182343483,
0.0002731338609009981,
0.007217204663902521,
-0.0006371049676090479,
0.05582632124423981,
-0.033069729804992676,
0.029764747247099876,
0.015768347308039665,
-0.0003652154409792274,
-0.02922718971967697
] |
Developing agents that can execute multiple skills by learning from
pre-collected datasets is an important problem in robotics, where online
interaction with the environment is extremely time-consuming. Moreover,
manually designing reward functions for every single desired skill is
prohibitive. Prior works targeted these challenges by learning goal-conditioned
policies from offline datasets without manually specified rewards, through
hindsight relabelling. These methods suffer from the issue of sparsity of
rewards, and fail at long-horizon tasks. In this work, we propose a novel
self-supervised learning phase on the pre-collected dataset to understand the
structure and the dynamics of the model, and shape a dense reward function for
learning policies offline. We evaluate our method on three continuous control
tasks, and show that our model significantly outperforms existing approaches,
especially on tasks that involve long-term planning. | [
0.02300892397761345,
0.0003529429668560624,
-0.028458867222070694,
-0.03371604532003403,
0.02363978512585163,
0.011092649772763252,
-0.023166639730334282,
0.02183482050895691,
-0.09757325798273087,
-0.016945643350481987,
0.02374492958188057,
-0.037816647440195084,
0.03532824665307999,
-0.0454220324754715,
-0.0004936820478178561,
0.053202658891677856,
0.026373518630862236,
0.037045594304800034,
-0.008932824246585369,
-0.04538698494434357,
0.0031893558334559202,
-0.013773811049759388,
-0.02048547752201557,
0.068553626537323,
0.01938146911561489,
-0.0003460976586211473,
0.023622261360287666,
0.012967710383236408,
-0.058635078370571136,
0.05544572323560715,
0.030158687382936478,
0.02612818405032158,
-0.002867353381589055,
0.036204446107149124,
-0.02425312250852585,
0.013020281679928303,
0.03031640313565731,
0.020275190472602844,
-0.029755637049674988,
0.04275839403271675,
0.00019235254148952663,
0.004499269649386406,
-0.0687989592552185,
-0.08383449167013168,
0.010698361322283745,
-0.028984583914279938,
-0.012582183815538883,
0.022360537201166153,
-0.05383352190256119,
0.02767029032111168,
-0.009822164662182331,
-0.052466653287410736,
0.03215641528367996,
-0.02653123438358307,
-0.03532824665307999,
0.03970923274755478,
0.0762641578912735,
-0.02602303959429264,
0.04489631578326225,
0.02602303959429264,
-0.028826870024204254,
0.00560765853151679,
-0.09589096158742905,
0.006957001052796841,
0.047069281339645386,
-0.09231607615947723,
0.004832224454730749,
-0.015517442487180233,
0.005152035970240831,
-0.018032126128673553,
-0.0020448239520192146,
-0.02099367044866085,
-0.05824955180287361,
-0.0030710692517459393,
-0.0015607252717018127,
0.015736492350697517,
0.021975010633468628,
0.018067173659801483,
0.03837741166353226,
-0.02136167325079441,
0.017681648954749107,
0.023026447743177414,
-0.009629401378333569,
0.014387148432433605,
0.09112445265054703,
-0.05001330375671387,
0.03757131099700928,
-0.05113483592867851,
0.05222132056951523,
-0.019206229597330093,
-0.047770239412784576,
0.017331169918179512,
-0.0067291902378201485,
-0.03662502020597458,
-0.052466653287410736,
0.028231056407094002,
-0.01864546351134777,
0.00345878629013896,
-0.06294596940279007,
0.023306829854846,
-0.01628849469125271,
0.004015170969069004,
0.017865648493170738,
-0.012398182414472103,
-0.03247184678912163,
-0.03567872568964958,
-0.010067499242722988,
-0.035871490836143494,
-0.014317053370177746,
0.08832062035799026,
-0.023832548409700394,
-0.01044426392763853,
-0.03326042369008064,
0.03609929978847504,
-0.043879926204681396,
-0.02458607777953148,
-0.003934123087674379,
-0.07577348500490189,
0.05768878757953644,
-0.03024630807340145,
0.03453966975212097,
0.06308615952730179,
0.044686026871204376,
-0.06662598997354507,
-0.023149115964770317,
0.01088236179202795,
-0.042337819933891296,
-0.007351289968937635,
0.03942884877324104,
0.002939639613032341,
-0.008363297209143639,
-0.03497777134180069,
0.010891124606132507,
0.04356449842453003,
0.019066039472818375,
-0.004100600257515907,
0.04230277240276337,
0.007386337500065565,
-0.03834236413240433,
-0.02646113745868206,
-0.008661204017698765,
-0.04065552353858948,
-0.03222651034593582,
0.017339931800961494,
0.08768975734710693,
0.03683530539274216,
-0.00266582821495831,
0.07682491838932037,
-0.004026123322546482,
0.004735842812806368,
-0.030404023826122284,
0.07261917740106583,
-0.015841634944081306,
0.014579911716282368,
0.03201622515916824,
0.01725231111049652,
-0.08846081048250198,
-0.04444069415330887,
0.02847639098763466,
-0.05782897770404816,
0.07542300969362259,
0.002302206587046385,
-0.0064006163738667965,
0.0682031437754631,
0.07612396031618118,
0.030141163617372513,
-0.001975823426619172,
-0.013274379074573517,
-0.0660652294754982,
0.039358753710985184,
-0.022448157891631126,
-0.026338471099734306,
0.0067291902378201485,
0.05211617425084114,
0.08495602756738663,
0.00150267721619457,
0.07584358006715775,
0.05803926661610603,
-0.018890799954533577,
-0.03042154759168625,
-0.020275190472602844,
0.010093784891068935,
-0.011145221069455147,
0.0527820847928524,
0.0373610258102417,
0.02595294453203678,
0.02723219059407711,
-0.01387019269168377,
0.04216258227825165,
-0.04296868294477463,
-0.017813077196478844,
0.0429336354136467,
0.03180593624711037,
0.0022156822960823774,
0.008231867104768753,
-0.05909070000052452,
-0.0518357940018177,
0.057969167828559875,
-0.009261398576200008,
0.017716696485877037,
-0.043108873069286346,
-0.048541292548179626,
-0.01901346631348133,
0.05772383511066437,
-0.012179133482277393,
-0.007013954222202301,
0.016682783141732216,
0.009322731755673885,
0.01125036459416151,
-0.06038747355341911,
0.022886255756020546,
-0.010672074742615223,
-0.029738113284111023,
-0.03473243489861488,
0.018925847485661507,
-0.01663021184504032,
0.017602790147066116,
0.04577251151204109,
-0.02921239659190178,
-0.05271198973059654,
-0.015648871660232544,
-0.0034785005263984203,
0.030509166419506073,
0.030000973492860794,
-0.01071588508784771,
0.043249066919088364,
0.004648223053663969,
-0.0014632483944296837,
0.023990264162421227,
-0.008928443305194378,
-0.013712476938962936,
-0.014010383747518063,
0.05779393017292023,
-0.03185851126909256,
0.0131955211982131,
0.001919965841807425,
0.022763589397072792,
-0.004420412238687277,
0.005449943244457245,
-0.02877429686486721,
0.04286354035139084,
-0.02029271423816681,
-0.019977282732725143,
-0.024463409557938576,
0.04275839403271675,
0.040795713663101196,
0.006128995679318905,
0.06150900200009346,
0.05656725540757179,
-0.00391002744436264,
-0.027284763753414154,
-0.02267596870660782,
-0.03893817961215973,
0.01477267500013113,
0.0035836442839354277,
0.029527826234698296,
0.05965146794915199,
-0.03182346001267433,
0.021081291139125824,
-0.02179977297782898,
0.026513710618019104,
0.00628671096637845,
0.017129644751548767,
0.02561998926103115,
-0.020345285534858704,
0.018102223053574562,
-0.0009687449201010168,
0.002171872416511178,
0.010155119001865387,
0.006676618475466967,
0.022080155089497566,
-0.020310238003730774,
-0.02267596870660782,
0.03413661941885948,
-0.020432906225323677,
-0.05285217985510826,
0.02073081210255623,
-0.009927308186888695,
0.021624533459544182,
0.033856239169836044,
-0.0166915450245142,
-0.0568125881254673,
0.026776568964123726,
0.04976796731352806,
-0.02172967605292797,
-0.049382440745830536,
-0.009226350113749504,
0.016498781740665436,
-0.036204446107149124,
-0.00014662602916359901,
0.032244037836790085,
-0.012275515124201775,
-0.018768131732940674,
-0.00103938824031502,
0.082082100212574,
-0.008840824477374554,
-0.050959594547748566,
0.006702904123812914,
0.0307194534689188,
-0.02924744412302971,
-0.0021685867104679346,
0.0028323056176304817,
0.026811616495251656,
-0.006317377556115389,
-0.029300015419721603,
-0.01894337125122547,
-0.02146681770682335,
0.012906376272439957,
-0.04727957025170326,
-0.009191302582621574,
-0.004210124723613262,
0.01908356323838234,
-0.021168909966945648,
-0.03809703141450882,
0.010619503445923328,
0.04987311363220215,
0.039218559861183167,
0.00979587808251381,
-0.03261203691363335,
-0.030123639851808548,
-0.01093493402004242,
0.008753204718232155,
-0.066661037504673,
0.017865648493170738,
0.011443127878010273,
0.009243874810636044,
0.018662989139556885,
-0.0014084860449656844,
-0.04493136331439018,
0.02213272638618946,
-0.0472094751894474,
-0.025164367631077766,
-0.007487100083380938,
0.029300015419721603,
0.010768456384539604,
0.0069131916388869286,
-0.03960408642888069,
0.03320785239338875,
-0.03977932780981064,
-0.05933603644371033,
-0.027144571766257286,
0.008087295107543468,
0.005931850988417864,
0.028493914753198624,
0.040830764919519424,
-0.04521174728870392,
-0.04072561860084534,
0.03413661941885948,
0.007473957259207964,
0.01999480649828911,
0.000838958250824362,
-0.03478500619530678,
-0.02569008618593216,
0.013826383277773857,
0.016069445759058,
-0.02539217844605446,
-0.027004379779100418,
0.02370988018810749,
-0.061018332839012146,
0.03404900059103966,
0.03182346001267433,
-0.0491020604968071,
-0.07020087540149689,
0.03336556628346443,
-0.06743209064006805,
-0.006860619410872459,
0.02213272638618946,
-0.014106765389442444,
0.024901507422327995,
0.04430050030350685,
-0.0072461459785699844,
-0.01423819549381733,
0.013861430808901787,
-0.020450429990887642,
-0.02840629406273365,
0.0029900209046900272,
-0.024603601545095444,
-0.02283368445932865,
-0.054779812693595886,
0.04805062338709831,
0.005138893146067858,
0.03651987388730049,
-0.008117961697280407,
0.013887716457247734,
0.022921303287148476,
0.05831964686512947,
-0.016157066449522972,
-0.021344149485230446,
0.0009150778641924262,
0.0147376274690032,
0.05968651548027992,
-0.05838974192738533,
-0.038552653044462204,
-0.002490588929504156,
0.005590134300291538,
0.0048760343343019485,
0.0502936877310276,
-0.014807723462581635,
-0.016709070652723312,
-0.018995942547917366,
-0.03658997267484665,
0.011513223871588707,
-0.005449943244457245,
0.02385007217526436,
-0.009436638094484806,
-0.004223267547786236,
0.0063787116669118404,
-0.009059873409569263,
0.016323544085025787,
0.011110173538327217,
0.021309101954102516,
-0.024060359224677086,
-0.009874735958874226,
0.03813207894563675,
0.04608794301748276,
-0.0035573584027588367,
0.010724646970629692,
-0.027389906346797943,
-0.017699172720313072,
0.0028936394955962896,
-0.03443452715873718,
0.00573470676317811,
0.011276650242507458,
0.05958137288689613,
-0.02649618685245514,
-0.004111552610993385,
-0.0307194534689188,
-0.0031937367748469114,
-0.03152555599808693,
-0.04531688988208771,
0.01207398995757103,
0.05744345113635063,
0.06473340839147568,
-0.06340158730745316,
-0.015368488617241383,
-0.007491481024771929,
-0.005817945580929518,
0.02307901903986931,
-0.015806587412953377,
-0.014614960178732872,
-0.014685055240988731,
-0.09056368470191956,
-0.015237059444189072,
-0.02066071704030037,
0.07451175898313522,
0.012494564056396484,
-0.04069057106971741,
-0.02213272638618946,
0.02612818405032158,
-0.009690734557807446,
-0.09000291675329208,
0.03732597827911377,
-0.04345935210585594,
-0.015920493751764297,
0.05211617425084114,
-0.030561737716197968,
0.019872140139341354,
-0.03757131099700928,
-0.008577965199947357,
-0.038517605513334274,
0.03061431087553501,
-0.03024630807340145,
-0.018102223053574562,
-0.0515904575586319,
0.014632483944296837,
0.035871490836143494,
-0.022413110360503197,
-0.030176211148500443,
-0.007719292305409908,
0.04766509681940079,
0.020380333065986633,
-0.049382440745830536,
-0.01868051290512085,
0.0248489361256361,
-0.006483855191618204,
0.06690637767314911,
-0.002424874110147357,
-0.05856498330831528,
0.01121531706303358,
-0.031210124492645264,
0.03680025786161423,
-0.02491903305053711,
0.03711568936705589,
-0.049312345683574677,
0.014711341820657253,
0.009252636693418026,
0.05421904847025871,
-0.011425604112446308,
0.03939380124211311,
-0.006930715404450893,
-0.02753009833395481,
-0.04251306131482124,
-0.016577640548348427,
0.004551841411739588,
0.013852668926119804,
0.013984098099172115,
0.006488236133009195,
-0.01607820764183998,
0.05986175313591957,
0.0013745335163548589,
0.020783383399248123,
-0.027144571766257286,
0.00041975296335294843,
0.010233976878225803,
0.040900859981775284,
0.0058705173432827,
-0.006847476586699486,
-0.037816647440195084,
-0.029089728370308876,
0.018522797152400017,
0.006212234031409025,
0.019206229597330093,
0.01192503608763218,
-0.022763589397072792,
0.011609605513513088,
0.043249066919088364,
0.020800907164812088,
0.0138176204636693,
0.03970923274755478,
-0.0024555411655455828,
0.021344149485230446,
0.031175076961517334,
0.02250072918832302,
0.0038421221543103456,
-0.0506441667675972,
0.03970923274755478,
0.021414246410131454,
0.0005700754118151963,
0.05958137288689613,
0.014159337617456913,
-0.01717345416545868,
0.053342852741479874,
-0.02290377952158451,
-0.0593009889125824,
-0.03171831741929054,
-0.029387634247541428,
0.023902643471956253,
0.016122018918395042,
0.002764400327578187,
-0.021186433732509613,
-0.028967060148715973,
0.032244037836790085,
0.009585591033101082,
0.019206229597330093,
-0.00979587808251381,
-0.011460651643574238,
0.03876293823122978,
0.011197793297469616,
0.0038968846201896667,
0.04153171926736832,
-0.000566242088098079,
-0.004339363891631365,
0.004946129862219095,
0.01205646526068449,
-0.009340256452560425,
-0.02877429686486721,
-0.011565795168280602,
-0.0018673940794542432,
0.001924346899613738,
-0.02796819619834423,
0.002289063762873411,
0.001652725855819881,
-0.020818432793021202,
-0.006856238469481468,
0.026566281914711,
-0.005598896648734808,
0.03637968376278877,
0.029124775901436806,
0.03108745627105236,
-0.011329222470521927,
-0.0234820693731308,
-0.0035332629922777414,
-0.043249066919088364,
-0.0002458826929796487,
0.035433392971754074,
-0.005095083266496658,
-0.028493914753198624,
-0.03317280486226082,
-0.06329644471406937,
-0.03548596426844597,
-0.0013394856359809637,
-0.018119746819138527,
0.01670030690729618,
0.026881713420152664,
-0.009454161860048771,
-0.04377478361129761,
-0.03806198015809059,
0.001822488964535296,
0.03527567535638809,
-0.015605062246322632,
-0.05590134486556053,
0.04598280042409897,
0.005677754059433937,
0.027582669630646706,
-0.016779165714979172,
-0.028861917555332184,
-0.034960243850946426,
0.01436962466686964,
0.06624046713113785,
-0.01610449329018593,
-0.017410026863217354,
0.017278596758842468,
-0.01378257293254137,
0.00036006205482408404,
0.010207691229879856,
-0.021939963102340698,
0.06585493683815002,
0.0237799771130085,
0.009752068668603897,
-0.0015092487446963787,
0.019696900621056557,
0.00012547409278340638,
0.017042024061083794,
-0.036169398576021194,
0.05236151069402695,
-0.013694953173398972,
0.04878662899136543,
0.030526690185070038,
0.0007940531941130757,
-0.01955670863389969,
0.026268374174833298,
0.03637968376278877,
0.040900859981775284,
0.0016647735610604286,
-0.030912216752767563,
0.013642381876707077,
0.0060150898061692715,
-0.025339607149362564,
0.009200064465403557,
-0.009664448909461498,
-0.009515495039522648,
0.02421807497739792,
0.016025636345148087,
-0.029124775901436806,
-0.03229660913348198,
-0.03403147682547569,
0.008021580055356026,
0.026881713420152664,
0.011776083149015903,
-0.008472821675240993,
-0.06778257340192795,
0.035100437700748444,
0.011819892562925816,
0.0608430951833725,
-0.019293850287795067,
-0.01106636319309473,
-0.0007398385205306113,
0.015333441086113453,
0.03229660913348198,
-0.0157452542334795,
-0.011057601310312748,
0.007995294407010078,
0.015561251901090145,
0.05081940442323685,
-0.009243874810636044,
-0.02535713091492653,
0.012871328741312027,
-0.014448482543230057,
-0.010873599909245968,
0.02980821020901203,
0.030333926901221275,
-0.04573746398091316,
-0.02300892397761345,
-0.0016001540934666991,
0.05190588906407356,
0.016577640548348427,
0.06539931893348694,
0.05369332805275917,
0.02179977297782898,
0.08145123720169067,
-0.02528703399002552,
-0.024656172841787338,
-0.00664157047867775,
0.043950021266937256,
0.022518252953886986,
-0.004100600257515907,
0.009874735958874226,
0.022115202620625496,
0.002335064113140106,
0.00871377531439066,
-0.02227291837334633,
-0.018330033868551254,
-0.011057601310312748,
-0.02367483265697956,
-0.014851532876491547,
-0.018470225855708122,
0.010391691699624062,
0.013370760716497898,
-0.022045107558369637,
0.03560863062739372,
-0.06245529651641846,
-0.02179977297782898,
-0.036204446107149124,
-0.0010826505022123456,
0.005668992176651955,
0.027109524235129356,
-0.05442933365702629,
-0.0147376274690032,
0.020573096349835396,
0.005248417612165213,
-0.035836443305015564,
-0.013221806846559048,
0.0006374330259859562,
0.02616323158144951,
0.08215219527482986,
-0.006685380358248949,
-0.00039237181772477925,
0.04048028588294983,
-0.001744726556353271,
0.027354858815670013,
-0.01901346631348133,
0.049312345683574677,
-0.0030294498428702354,
0.0031411650124937296,
0.018154794350266457,
0.029002107679843903,
0.025164367631077766,
-0.004050218965858221,
-0.02344702184200287,
0.021975010633468628,
0.013589809648692608,
-0.011189031414687634,
0.0041619339026510715,
-0.023937692865729332,
-0.0010421263286843896,
0.008481583558022976,
-0.007018335163593292,
0.0017732029082253575,
0.006843095645308495,
-0.016122018918395042,
0.0583546943962574,
-0.04188219830393791,
-0.027021903544664383,
-0.00460441317409277,
0.020941099151968956,
-0.03061431087553501,
-0.0034565958194434643,
0.034224241971969604,
0.0013427713420242071,
-0.04496641084551811,
0.041041050106287,
-0.01824241317808628,
0.047104332596063614,
-0.02612818405032158,
-0.00345878629013896,
0.012564660049974918,
-0.007579100783914328,
0.052431605756282806,
0.0061070905067026615,
-0.028564009815454483,
0.07339023053646088,
0.021274054422974586,
0.030526690185070038,
0.03666006773710251,
-0.03595910966396332,
0.03718578442931175,
0.00160563038662076,
-0.014027908444404602,
0.014536102302372456,
-0.046263180673122406,
0.0327347069978714,
0.050994645804166794,
0.022448157891631126,
0.008740060962736607,
0.03960408642888069,
-0.010339120402932167,
-0.010365406051278114,
0.0043174587190151215,
0.021957486867904663,
-0.015902968123555183,
0.021607009693980217,
-0.009690734557807446,
0.04097095504403114,
-0.04990816116333008,
0.008998539298772812,
0.02095862291753292,
0.00497241597622633,
0.02689923718571663,
-0.03792179003357887,
0.0017732029082253575,
0.02169462852180004,
-0.006619665771722794,
-0.01026026252657175,
0.035503488034009933,
-0.0009260303340852261,
0.031840987503528595,
-0.021975010633468628,
-0.010812266729772091,
-0.020134998485445976,
0.01152198575437069,
0.01451857853680849,
0.03298003971576691,
-0.02591789700090885,
0.04286354035139084,
0.025637513026595116,
-0.0691494345664978,
-0.052536748349666595,
-0.012538373470306396,
-0.020345285534858704,
-0.047139380127191544,
-0.006242901086807251,
0.005537562537938356,
-0.002394207287579775,
0.026601329445838928,
-0.03595910966396332,
-0.021887391805648804,
0.0041619339026510715,
-0.02129157818853855,
0.014229433611035347,
-0.020941099151968956,
-0.01713840663433075,
0.03559110686182976,
-0.014308290556073189,
0.0008937205420807004,
-0.005730325821787119,
-0.049382440745830536,
0.00228468282148242,
0.028564009815454483,
0.04048028588294983,
-0.02572513371706009,
0.004345935303717852,
-0.0307194534689188,
-0.024358266964554787,
0.03410157188773155,
-0.051660552620887756,
-0.024305693805217743,
-0.018487749621272087,
-0.016306018456816673,
0.013922764919698238,
0.010908648371696472,
0.024498457089066505,
0.06220996007323265,
-0.05152036249637604,
-0.029300015419721603,
-0.03669511526823044,
-0.0030360212549567223,
0.0003025616460945457,
0.040059711784124374,
-0.01728735864162445,
0.04990816116333008,
0.029597923159599304,
-0.03567872568964958,
-0.009655687026679516,
-0.02968554198741913,
-0.006882524583488703,
-0.02847639098763466,
-0.03673016279935837,
0.002619827864691615,
-0.05604153499007225,
0.003485072171315551,
-0.0060851857997477055,
0.024568554013967514,
0.0719883143901825,
0.013204283080995083,
-0.025111796334385872,
0.04202239215373993,
0.01383514516055584,
0.10219957679510117,
-0.015429822728037834,
-0.02109881490468979,
0.016560116782784462,
-0.012161609716713428,
-0.019942235201597214,
-0.0008455297793261707,
0.037676453590393066,
-0.016200875863432884,
0.013274379074573517,
-0.04055038094520569,
-0.03045659512281418,
-0.057128019630908966,
0.020608143880963326,
0.00244020763784647,
-0.02712704800069332,
0.004006409086287022,
-0.022395586594939232,
0.02271101623773575,
-0.028020767495036125,
-0.007636053487658501,
0.00687376270070672,
-0.032384227961301804,
-0.022518252953886986,
0.01198637019842863,
0.04955768212676048,
-0.043950021266937256,
0.05127502605319023,
0.01368619129061699,
-0.029229920357465744,
0.014080479741096497,
-0.007417004555463791,
-0.029124775901436806,
0.0035069771111011505,
0.017883174121379852,
-0.0502936877310276,
-0.020099950954318047,
0.009165016934275627,
0.018435176461935043,
-0.02730228751897812,
-0.005213370081037283,
0.006128995679318905,
0.02344702184200287,
-0.009962355718016624,
0.028423819690942764,
-0.02414797991514206,
-0.03883303329348564,
0.02696933224797249,
-0.002681161742657423,
0.027389906346797943,
-0.01794450730085373,
0.010330358520150185,
-0.02400778792798519,
-0.022781113162636757,
-0.0176115520298481,
0.04226772487163544,
-0.007364432793110609,
0.02327178232371807,
-0.0070577641017735004,
-0.034627292305231094,
-0.04282849282026291,
0.023797500878572464,
-0.038552653044462204,
0.03655492514371872,
0.005340418312698603,
-0.035871490836143494,
0.02921239659190178,
-0.03823722153902054,
0.011399318464100361,
0.01433457713574171,
0.013107901439070702,
0.007649196777492762,
0.005787278991192579,
-0.0320863202214241,
0.011863701976835728,
-0.007881388999521732,
0.03292746841907501,
0.01458867359906435,
0.003215641714632511,
-0.012380658648908138,
-0.02653123438358307,
-0.02008242718875408,
-0.0036756449844688177,
-0.030141163617372513,
0.00920882634818554,
-0.061789385974407196,
0.028055816888809204,
0.018768131732940674,
-0.009594352915883064,
-0.00035321677569299936,
0.020099950954318047,
-0.020467953756451607,
-0.04121628776192665,
-0.006588998716324568,
0.013791334815323353,
-0.013318188488483429,
0.02495408058166504,
-0.014168099500238895,
-0.015350964851677418,
-0.012170371599495411,
-0.02113386243581772,
-0.008661204017698765,
0.051800746470689774,
-0.010032451711595058,
0.014317053370177746,
-0.05425409600138664,
-0.011075125075876713,
-0.024936556816101074,
0.06813304871320724,
-0.03834236413240433,
-0.015832873061299324,
-0.01931137405335903,
-0.005384228192269802,
0.016069445759058,
-0.03324289992451668,
-0.011776083149015903,
-0.01999480649828911,
-0.0220626313239336,
0.02767029032111168,
-0.04517669975757599,
-0.0063436636701226234,
-0.017523933202028275,
-0.02612818405032158,
0.011495700106024742,
0.018032126128673553,
0.03963913396000862,
-0.017410026863217354,
0.002628589980304241,
-0.03143793344497681,
-0.02437579073011875,
-0.026145707815885544,
-0.030877169221639633,
-0.005506895948201418,
0.009515495039522648,
-0.005905565340071917,
0.01783060096204281,
-0.03567872568964958,
-0.02367483265697956,
0.022290442138910294,
-0.0008597679552622139,
-0.003542024875059724,
0.023464545607566833,
0.008669965900480747,
-0.010645789094269276,
-0.013125425204634666,
-0.010321596637368202,
0.003741359570994973,
0.05106474086642265,
0.0057215639390051365,
0.0635768249630928,
0.03666006773710251,
-0.009462923742830753,
0.03269965946674347,
0.013502189889550209,
-0.001990061718970537,
-0.014790198765695095,
-0.018855752423405647,
0.0004041456850245595,
0.007522148080170155,
-0.00528346560895443,
-0.020064903423190117,
-0.03637968376278877,
-0.042478013783693314,
0.01995975896716118,
-0.0063655683770775795,
0.03991951793432236,
-0.01740126498043537
] |
Through the generalization of deep learning, the research community has
addressed critical challenges in the network security domain, like malware
identification and anomaly detection. However, they have yet to discuss
deploying them on Internet of Things (IoT) devices for day-to-day operations.
IoT devices are often limited in memory and processing power, rendering the
compute-intensive deep learning environment unusable. This research proposes a
way to overcome this barrier by bypassing feature engineering in the deep
learning pipeline and using raw packet data as input. We introduce a feature
engineering-less machine learning (ML) process to perform malware detection on
IoT devices. Our proposed model, "Feature engineering-less-ML (FEL-ML)," is a
lighter-weight detection algorithm that expends no extra computations on
"engineered" features. It effectively accelerates the low-powered IoT edge. It
is trained on unprocessed byte-streams of packets. Aside from providing better
results, it is quicker than traditional feature-based methods. FEL-ML
facilitates resource-sensitive network traffic security with the added benefit
of eliminating the significant investment by subject matter experts in feature
engineering. | [
-0.08522582799196243,
0.000020081257389392704,
-0.020297762006521225,
-0.023111488670110703,
0.030614759773015976,
0.012767947278916836,
0.003793664276599884,
0.007450181525200605,
0.0144491046667099,
0.010653228498995304,
0.029570672661066055,
-0.04123259708285332,
0.02171347476541996,
-0.013095330446958542,
-0.04834654554724693,
0.0027827578596770763,
-0.016024082899093628,
-0.06310533732175827,
-0.015448951162397861,
-0.07029007375240326,
0.0470724031329155,
-0.020987922325730324,
-0.01791759766638279,
-0.028331924229860306,
0.012458260171115398,
0.0440286248922348,
0.02647380344569683,
-0.02488112822175026,
-0.0638485848903656,
0.04056013375520706,
0.022439025342464447,
0.008162461221218109,
-0.026013696566224098,
-0.025996001437306404,
-0.023713165894150734,
-0.03801185265183449,
0.02557128667831421,
0.07453721016645432,
-0.0163780115544796,
0.0025726130697876215,
0.031092561781406403,
-0.05223975330591202,
-0.04703701287508011,
0.00571151077747345,
0.008896861225366592,
0.0407370962202549,
-0.03974609822034836,
-0.07439563423395157,
0.0007836183649487793,
-0.03013695776462555,
-0.0005084947915747762,
-0.040878668427467346,
-0.012529046274721622,
-0.0000955328723648563,
-0.009582596831023693,
0.030897902324795723,
0.11077941954135895,
0.01962530054152012,
0.056380707770586014,
-0.02452719956636429,
-0.04158652201294899,
0.008644687943160534,
-0.0006182677461765707,
0.0023005311377346516,
-0.04965607821941376,
0.012706009671092033,
0.01450219377875328,
-0.016147958114743233,
0.05988459289073944,
-0.00041199414408765733,
-0.05829191952943802,
0.0028004541527479887,
-0.015643611550331116,
0.01808571256697178,
0.013325383886694908,
-0.02834962122142315,
0.018404249101877213,
0.01651073433458805,
0.03181811422109604,
-0.05001000687479973,
0.024562593549489975,
0.034083250910043716,
-0.03864892199635506,
0.008622567169368267,
0.04038316756486893,
0.00469839246943593,
-0.034331001341342926,
-0.06038009375333786,
0.01874048076570034,
-0.013077634386718273,
-0.029163654893636703,
0.0379764586687088,
0.02553589455783367,
0.02606678567826748,
0.011228361167013645,
-0.0019742539152503014,
-0.059353701770305634,
-0.04774486646056175,
-0.043249983340501785,
-0.0056982384994626045,
0.005220436025410891,
0.03139340132474899,
-0.022669078782200813,
0.031747329980134964,
-0.002948661334812641,
0.008122644387185574,
-0.004375433083623648,
0.04516119509935379,
-0.022244365885853767,
0.12019389867782593,
-0.0036609412636607885,
-0.00644591124728322,
-0.009060553275048733,
0.007901439443230629,
0.01736900955438614,
0.013502347283065319,
-0.005277949385344982,
-0.08076633512973785,
-0.0278010331094265,
0.06140648201107979,
0.04133877530694008,
0.045231979340314865,
0.029783029109239578,
-0.011467262171208858,
-0.06738786399364471,
0.0646626204252243,
0.04767408221960068,
-0.025164270773530006,
0.009600292891263962,
0.0035437026526778936,
-0.0467892624437809,
0.02374855987727642,
0.05662845820188522,
-0.03622451424598694,
0.02052781544625759,
0.008246518671512604,
0.010582443326711655,
0.02488112822175026,
0.006737901363521814,
-0.002322651445865631,
0.017492884770035744,
0.04371009021997452,
-0.04728476330637932,
-0.002802666276693344,
0.040772490203380585,
0.0476032979786396,
0.0027031239587813616,
0.028367318212985992,
-0.03758713975548744,
-0.020899439230561256,
-0.037551745772361755,
0.038932062685489655,
0.04873586446046829,
-0.000055992491979850456,
0.0528414286673069,
-0.019607603549957275,
0.00010396631114417687,
-0.023235363885760307,
-0.011582288891077042,
-0.03401246666908264,
0.06416711956262589,
-0.04700161889195442,
0.028862817212939262,
0.016944296658039093,
0.04838193953037262,
0.03153497353196144,
0.04024159908294678,
0.003944083582609892,
-0.07482034713029861,
0.058822810649871826,
0.025005003437399864,
-0.01868739165365696,
0.04480726644396782,
0.009449874050915241,
0.010343541391193867,
-0.0041144113056361675,
0.021784259006381035,
-0.019554514437913895,
-0.017439795657992363,
0.003570247208699584,
-0.03677310422062874,
0.015183504670858383,
0.02231515198945999,
0.00021152719273231924,
0.02330614998936653,
0.05436331778764725,
0.028561977669596672,
0.028367318212985992,
0.012590983882546425,
-0.010688621550798416,
-0.012122029438614845,
0.0382596030831337,
0.026597678661346436,
-0.02900438755750656,
0.007162615191191435,
-0.06406094133853912,
-0.012688313610851765,
0.004231649916619062,
-0.018280373886227608,
0.0517442524433136,
-0.013254597783088684,
-0.021200278773903847,
-0.0008743124199099839,
-0.01147611066699028,
-0.0024929794017225504,
-0.026084482669830322,
0.02102331444621086,
0.0022408056538552046,
0.014104025438427925,
-0.0029685699846595526,
-0.06487497687339783,
-0.014732247218489647,
-0.05362007021903992,
0.03733938932418823,
0.022421330213546753,
-0.009387936443090439,
-0.01943063922226429,
-0.07913827151060104,
-0.055743638426065445,
0.028632763773202896,
0.011812342330813408,
0.03169424086809158,
-0.04537355154752731,
-0.05454028397798538,
-0.07110410928726196,
-0.0057999929413199425,
0.01440486405044794,
0.014546435326337814,
-0.007308610249310732,
0.03222513198852539,
0.026633070781826973,
0.027340926229953766,
0.019961530342698097,
-0.0042604063637554646,
-0.006100831553339958,
-0.039038240909576416,
0.017820267006754875,
-0.033587753772735596,
-0.02031545899808407,
0.0001163399574579671,
0.006379549391567707,
-0.005260252859443426,
-0.1059660017490387,
-0.06816650182008743,
0.00040674052434042096,
-0.03456105664372444,
-0.01579403132200241,
0.044134803116321564,
-0.0009683244861662388,
0.05333692952990532,
-0.013378472998738289,
-0.030225438997149467,
0.029623761773109436,
0.02438562922179699,
-0.050186969339847565,
0.005600908305495977,
0.011759253218770027,
-0.05567285045981407,
0.001569448853842914,
-0.06505194306373596,
0.0025925214868038893,
-0.027942603453993797,
0.015625914558768272,
0.006950258277356625,
-0.007941256277263165,
-0.013758945278823376,
0.044594909995794296,
0.03801185265183449,
0.01549319177865982,
-0.029853815212845802,
0.030367009341716766,
-0.021200278773903847,
-0.04526737332344055,
0.041161809116601944,
0.003709606360644102,
-0.0646626204252243,
0.008078403770923615,
0.02146572433412075,
0.03611833602190018,
0.054257139563560486,
0.0009749606251716614,
-0.019589906558394432,
0.0550357811152935,
-0.013741249218583107,
-0.006326460279524326,
0.005817689001560211,
-0.06151266023516655,
-0.032649844884872437,
-0.06862661242485046,
0.01236977893859148,
-0.025217359885573387,
0.007321882527321577,
-0.01987304911017418,
0.013794338330626488,
0.03479110822081566,
0.008520812727510929,
0.013183812610805035,
0.007295337971299887,
0.02642071433365345,
0.020598601549863815,
-0.09308302402496338,
-0.01717435009777546,
0.021483421325683594,
0.03921520709991455,
-0.02250981144607067,
-0.02155420556664467,
-0.009087097831070423,
0.05949527397751808,
-0.017873356118798256,
-0.017873356118798256,
0.005587636027485132,
0.015758637338876724,
-0.030349314212799072,
-0.057123955339193344,
-0.033481575548648834,
0.03374702110886574,
0.00025728894979692996,
-0.026792338117957115,
0.029712243005633354,
-0.059849198907613754,
0.0346849299967289,
0.002935389056801796,
-0.024067094549536705,
0.028526585549116135,
0.03057936765253544,
-0.0500807911157608,
0.0528414286673069,
0.019501425325870514,
-0.03574671223759651,
0.001799501944333315,
-0.0287566389888525,
0.020580904558300972,
-0.06547665596008301,
0.01824498176574707,
-0.008224398829042912,
0.009361391887068748,
-0.036560747772455215,
0.05507117509841919,
0.07425406575202942,
0.004470551386475563,
-0.05199200287461281,
-0.004134319722652435,
-0.046329155564308167,
-0.04792183265089989,
-0.004351100418716669,
-0.0023337118327617645,
-0.073758564889431,
0.03921520709991455,
-0.018563516438007355,
-0.030667848885059357,
0.001107130548916757,
-0.050788648426532745,
-0.016590368002653122,
-0.029163654893636703,
0.005817689001560211,
-0.011467262171208858,
0.02532353810966015,
0.04144495353102684,
-0.012714858166873455,
0.02300531044602394,
-0.03946295753121376,
0.0072820656932890415,
0.04516119509935379,
0.007600600831210613,
-0.040276989340782166,
0.018475033342838287,
-0.0046099103055894375,
-0.04866508021950722,
-0.02953527867794037,
0.0707501769065857,
-0.014732247218489647,
0.016749635338783264,
-0.04066631197929382,
-0.020439334213733673,
0.004685120191425085,
-0.024314843118190765,
0.05446949601173401,
-0.00044462186633609235,
-0.05804416909813881,
0.05369085446000099,
-0.003028295235708356,
0.01241401955485344,
-0.027924908325076103,
-0.021678080782294273,
-0.01336077693849802,
0.01144956611096859,
0.007060860749334097,
-0.008507540449500084,
0.038188815116882324,
0.094144806265831,
0.008498692885041237,
-0.01236977893859148,
-0.029623761773109436,
-0.05195660889148712,
0.01997922733426094,
-0.01536931749433279,
-0.004972686525434256,
-0.017245134338736534,
0.03319843113422394,
-0.039923060685396194,
-0.043851662427186966,
0.04137416556477547,
-0.015555129386484623,
-0.027624068781733513,
-0.018315766006708145,
-0.005339886527508497,
0.027889514341950417,
-0.02404939755797386,
0.018351159989833832,
-0.04615219309926033,
0.026986999437212944,
-0.021448027342557907,
0.036914676427841187,
0.01643110066652298,
0.020085405558347702,
0.0316411517560482,
-0.01197160966694355,
0.0012697161873802543,
-0.014201355166733265,
0.015917904675006866,
-0.030844813212752342,
0.0316588468849659,
0.055743638426065445,
0.02458028867840767,
0.02404939755797386,
0.027181658893823624,
-0.0010949643328785896,
-0.013219205662608147,
0.03565823286771774,
0.002144581638276577,
0.00826863944530487,
-0.014431408606469631,
0.007255521137267351,
-0.04576287046074867,
-0.004295799415558577,
-0.0022916828747838736,
0.04901900887489319,
0.02383704110980034,
-0.10334693640470505,
-0.012856429442763329,
0.010476264171302319,
0.002995114540681243,
-0.02210279554128647,
-0.023465417325496674,
-0.02914595976471901,
-0.022279758006334305,
-0.019554514437913895,
0.016475342214107513,
0.0047116647474467754,
-0.0346849299967289,
-0.04169270023703575,
0.030597062781453133,
-0.08020005375146866,
-0.031251829117536545,
0.05645149201154709,
-0.04427637532353401,
0.020881744101643562,
-0.03741017356514931,
0.004448430612683296,
-0.026084482669830322,
0.010423175059258938,
0.08798646181821823,
0.013581981882452965,
0.04137416556477547,
0.030101563781499863,
-0.012139725498855114,
-0.03162345290184021,
-0.05071786046028137,
-0.007848350331187248,
0.019466031342744827,
0.01490036305040121,
-0.03949834778904915,
-0.03441948443651199,
-0.0035083098337054253,
0.04997461289167404,
-0.008255367167294025,
-0.03438409045338631,
-0.03312764689326286,
-0.01863430254161358,
-0.022615989670157433,
-0.0020549935288727283,
0.010821344330906868,
-0.015360468998551369,
-0.038436565548181534,
-0.0019078922923654318,
0.01184773538261652,
0.03698546066880226,
-0.029216744005680084,
0.037941064685583115,
-0.05634531378746033,
0.007228976581245661,
-0.008343849331140518,
-0.028827423229813576,
-0.012573286890983582,
-0.019908441230654716,
-0.04257752001285553,
-0.009255213662981987,
-0.006667116191238165,
0.047851044684648514,
0.021642688661813736,
-0.02969454787671566,
-0.035905979573726654,
0.05124875530600548,
0.019961530342698097,
-0.029376011341810226,
-0.01695314422249794,
0.021448027342557907,
0.04509040713310242,
0.02468646876513958,
0.02672155387699604,
0.015325075946748257,
-0.020138494670391083,
-0.0074457572773098946,
-0.014183659106492996,
0.001532949972897768,
0.028968995437026024,
-0.01833346299827099,
-0.01973147876560688,
0.0013449258403852582,
0.06703393906354904,
0.020899439230561256,
0.0052514043636620045,
-0.024474110454320908,
0.0189882293343544,
-0.0017276103608310223,
0.03967531397938728,
0.014732247218489647,
-0.029181351885199547,
0.0020428274292498827,
-0.002873451681807637,
-0.03431330621242523,
0.00884819682687521,
-0.07517427951097488,
-0.0008046328439377248,
-0.01102485228329897,
-0.009361391887068748,
0.010060399770736694,
0.061689626425504684,
-0.04310841113328934,
-0.023111488670110703,
-0.03726860508322716,
-0.009131338447332382,
0.009671078994870186,
-0.018280373886227608,
-0.005034623667597771,
0.023677773773670197,
0.005273525137454271,
-0.02686312422156334,
0.02854428067803383,
-0.02330614998936653,
0.006043318193405867,
-0.008485420607030392,
0.010255059227347374,
0.014829576946794987,
-0.028561977669596672,
-0.03049088455736637,
0.032791417092084885,
-0.0005361454095691442,
-0.00022341696603689343,
0.01912980154156685,
0.0017088078893721104,
0.03107486665248871,
0.00937024038285017,
-0.008932254277169704,
0.008140340447425842,
-0.05694699287414551,
0.020757868885993958,
0.019908441230654716,
0.021377243101596832,
0.01802377589046955,
-0.003523794235661626,
-0.03038470633327961,
-0.03822420910000801,
-0.005127529613673687,
-0.020457029342651367,
0.043143805116415024,
0.05160268023610115,
-0.008542933501303196,
0.007972224615514278,
0.042612913995981216,
-0.018864354118704796,
0.016201047226786613,
0.03811803087592125,
-0.0036609412636607885,
0.011953913606703281,
0.052770644426345825,
-0.04827576130628586,
-0.00185922731179744,
0.02082865498960018,
-0.0045435489155352116,
0.027889514341950417,
0.022385936230421066,
-0.07216589152812958,
0.005592060275375843,
-0.004025929141789675,
0.03215434402227402,
0.013059938326478004,
0.008936678059399128,
-0.0009246365516446531,
-0.033977072685956955,
0.005255828611552715,
0.061087947338819504,
0.06409633159637451,
0.05570824444293976,
0.023359239101409912,
-0.0005375279579311609,
-0.00641936669126153,
-0.01678502932190895,
0.01824498176574707,
0.0007023256039246917,
0.047957222908735275,
0.026084482669830322,
0.05461106821894646,
-0.01742209866642952,
-0.020899439230561256,
0.04565669223666191,
0.045975226908922195,
-0.03638378530740738,
-0.037905674427747726,
-0.007525390945374966,
0.0346672348678112,
-0.01045856811106205,
0.018669694662094116,
0.03684388846158981,
0.010148881003260612,
-0.011644226498901844,
0.029429100453853607,
-0.04601062089204788,
-0.015077326446771622,
-0.06629068404436111,
-0.017492884770035744,
0.025341235101222992,
-0.03592367842793465,
0.027535587549209595,
-0.04767408221960068,
-0.028774334117770195,
0.010962915606796741,
0.02528814598917961,
-0.047851044684648514,
-0.0023204395547509193,
0.008507540449500084,
0.023235363885760307,
-0.06268062442541122,
0.017156653106212616,
-0.00899861566722393,
0.03999384865164757,
-0.05397399887442589,
-0.013873971998691559,
0.02281065098941326,
0.06958221644163132,
0.0349503755569458,
0.01484727393835783,
0.02834962122142315,
0.0465061217546463,
-0.024350237101316452,
-0.02512887865304947,
0.011307994835078716,
0.00440418953076005,
-0.020014619454741478,
0.01937755011022091,
-0.004178560804575682,
0.0028999964706599712,
-0.006521120667457581,
0.01351119577884674,
0.007419212721288204,
0.0016092656878754497,
0.0368792824447155,
0.029712243005633354,
0.041409559547901154,
0.041020236909389496,
-0.005392975639551878,
-0.05114257335662842,
-0.021377243101596832,
0.02493421733379364,
-0.015838271006941795,
-0.035905979573726654,
0.041161809116601944,
0.05001000687479973,
0.0240847896784544,
-0.019005926325917244,
-0.031888898462057114,
0.00800761766731739,
-0.009794953279197216,
0.03836578130722046,
-0.0718473568558693,
-0.01098061166703701,
-0.009511810727417469,
0.0396399199962616,
-0.03438409045338631,
0.011653074994683266,
-0.03772870823740959,
-0.018280373886227608,
0.017908750101923943,
0.008485420607030392,
0.033428486436605453,
-0.00719800777733326,
-0.0341186448931694,
-0.0010501702781766653,
0.008941102772951126,
0.008649111725389957,
-0.006715781055390835,
0.00814476516097784,
-0.04763868823647499,
0.032596755772829056,
-0.017784874886274338,
0.0026279143057763577,
0.02870354987680912,
-0.02111179754137993,
0.0031521699856966734,
0.0025283722206950188,
-0.009644534438848495,
0.029606064781546593,
0.05333692952990532,
0.025606680661439896,
0.06944064795970917,
0.003428676165640354,
0.016855813562870026,
0.015068478882312775,
-0.032349005341529846,
0.02498730644583702,
0.02928753010928631,
-0.016501886770129204,
0.0006437062984332442,
-0.06469801068305969,
-0.036012157797813416,
-0.02642071433365345,
-0.006760022137314081,
0.005609756335616112,
-0.011670771054923534,
-0.003979476168751717,
0.06282219290733337,
-0.048558901995420456,
-0.02429714798927307,
0.013643918558955193,
-0.014015543274581432,
-0.022615989670157433,
0.038047242909669876,
0.023783951997756958,
0.04356851801276207,
0.012971456162631512,
0.019855352118611336,
-0.027093177661299706,
0.012502501718699932,
-0.06866200268268585,
-0.0008859256631694734,
-0.0250403955578804,
-0.016767332330346107,
0.01631607487797737,
-0.018457338213920593,
-0.017899900674819946,
0.022881435230374336,
-0.021996615454554558,
-0.0027119722217321396,
-0.03868431597948074,
-0.04031238332390785,
-0.0005861929967068136,
0.023766255006194115,
0.0033070133067667484,
0.006928137969225645,
0.05022236332297325,
0.003079172456637025,
0.012228207662701607,
0.0015959934098646045,
-0.02344772033393383,
0.0836685448884964,
-0.02141263522207737,
-0.06558283418416977,
-0.007591752335429192,
0.01934215798974037,
0.022775257006287575,
0.05369085446000099,
-0.003939659334719181,
0.04204662889242172,
-0.041020236909389496,
-0.013661615550518036,
-0.02111179754137993,
0.021978920325636864,
-0.02727014198899269,
0.02553589455783367,
0.001659036846831441,
-0.060698628425598145,
0.006330884527415037,
-0.023730862885713577,
0.06901593506336212,
-0.02829653210937977,
-0.006171617191284895,
0.025659769773483276,
-0.013289990834891796,
-0.00769793102517724,
0.02994229644536972,
-0.0022374875843524933,
0.019943835213780403,
0.01728052832186222,
-0.014705702662467957,
0.034331001341342926,
-0.0023204395547509193,
-0.03394168242812157,
0.037551745772361755,
-0.030968686565756798,
-0.009308302775025368,
0.07758098840713501,
0.02656228467822075,
0.00748557411134243,
0.025801340118050575,
-0.0682726800441742,
-0.0295883696526289,
-0.026102179661393166,
-0.03811803087592125,
-0.0021279912907630205,
-0.036560747772455215,
0.03648996353149414,
0.023854738101363182,
-0.00246643484570086,
-0.006923713721334934,
0.007476726081222296,
-0.00991882849484682,
-0.008140340447425842,
-0.011573441326618195,
-0.057477883994579315,
-0.01531622838228941,
0.028137264773249626,
-0.010617835447192192,
-0.0032450759317725897,
0.018899748101830482,
-0.021872742101550102,
0.001499769277870655,
0.030597062781453133,
0.03900285065174103,
-0.0196783896535635,
-0.006476879585534334,
0.012590983882546425,
-0.027252444997429848,
0.00030719832284376025,
0.010290452279150486,
-0.05740709975361824,
0.006317612249404192,
-0.008565054275095463,
0.03049088455736637,
-0.026456106454133987,
0.01918289065361023,
-0.01440486405044794,
0.022439025342464447,
-0.008507540449500084,
-0.025942912325263023,
-0.017625607550144196,
-0.002780545735731721,
-0.04328537732362747,
0.039887670427560806,
0.027004694566130638,
-0.012582135386765003,
0.008180157281458378,
-0.020103102549910545,
-0.0021655960008502007,
0.007680234499275684,
-0.030950991436839104,
0.0030548397917300463,
0.0257305558770895,
-0.02523505687713623,
-0.0216072965413332,
-0.00022576726041734219,
0.017103563994169235,
-0.018846658989787102,
-0.011679619550704956,
0.03263214975595474,
0.03443717956542969,
-0.01987304911017418,
-0.026296839118003845,
-0.0014876030618324876,
-0.014617220498621464,
-0.06239748001098633,
0.0007543087704107165,
-0.05592060089111328,
-0.0007559678051620722,
0.06781257688999176,
-0.0054018241353333,
0.030650151893496513,
0.006525544915348291,
0.004375433083623648,
0.007905863225460052,
0.010352389886975288,
0.022439025342464447,
0.020138494670391083,
0.04778026044368744,
-0.032543666660785675,
0.05015157535672188,
-0.013174964115023613,
0.010007309727370739,
-0.03362314775586128,
0.016723090782761574,
-0.04392244666814804,
-0.02171347476541996,
0.04094945266842842,
0.0033578905276954174,
0.04056013375520706,
0.037197817116975784,
0.0016369163058698177,
-0.04310841113328934,
-0.04194045066833496,
0.0008698882884345949,
0.0032605603337287903,
0.00476917764171958,
-0.04965607821941376,
-0.01249365322291851,
-0.0007869364926591516,
0.03864892199635506,
0.037445567548274994,
-0.019200585782527924,
-0.012263599783182144,
-0.001327229430899024,
-0.01854581944644451,
-0.012387474998831749,
-0.040878668427467346,
0.004870932083576918,
-0.008803955279290676,
0.009741864167153835,
0.006790990941226482,
0.014634916558861732,
-0.03296837955713272,
-0.004101139027625322,
0.024367932230234146,
0.00783065427094698,
0.04148034378886223,
-0.00309244473464787,
0.020492423325777054,
-0.011741556227207184,
0.017324768006801605,
0.004760329611599445,
-0.015811726450920105,
-0.015192353166639805,
0.00701219541952014,
-0.0067511736415326595,
0.035074248909950256,
0.02358929067850113,
0.0210587065666914,
0.025606680661439896,
-0.018014928326010704,
-0.01692659966647625,
-0.010175425559282303,
-0.05085943266749382,
-0.03206586465239525,
-0.03622451424598694,
0.01003385428339243,
-0.012750251218676567,
-0.006614026613533497,
0.007525390945374966,
-0.04643533378839493,
0.07418327778577805,
0.003107928903773427,
-0.018952837213873863,
0.02627914398908615,
-0.03316304087638855,
-0.033977072685956955,
0.04852350801229477,
0.011883127503097057,
0.017165500670671463,
-0.028225746005773544,
-0.009502963162958622,
-0.037445567548274994,
-0.016634609550237656,
0.0065034241415560246,
0.051673468202352524,
0.036808498203754425,
0.0012863065348938107,
0.004315707832574844,
-0.03698546066880226,
0.04381626844406128,
-0.0055168503895401955,
-0.01882896199822426,
-0.02735862322151661,
0.003083596471697092,
-0.014219051226973534,
-0.0550357811152935,
0.020881744101643562,
-0.006291067693382502,
-0.009246365167200565,
0.0048399632796645164,
0.004090078640729189,
-0.025801340118050575,
-0.01631607487797737,
0.014050936326384544,
0.026686159893870354,
0.03380011022090912,
-0.011670771054923534,
0.008193429559469223,
-0.007193583529442549,
-0.019696084782481194,
-0.007870471104979515,
-0.0070829810574650764,
-0.06749404221773148,
0.00952065922319889,
-0.027570979669690132,
-0.013413866050541401,
-0.02928753010928631,
-0.00035835194285027683,
-0.02325306087732315,
-0.06809572130441666,
-0.003924175165593624,
-0.015033085830509663,
0.0047116647474467754,
0.014130569994449615,
-0.026013696566224098,
0.005543394945561886,
-0.012122029438614845,
0.019501425325870514,
-0.01681157387793064,
0.006078710779547691,
0.026296839118003845,
-0.052168965339660645,
-0.001098282402381301,
0.002415557624772191,
-0.0005444405833259225,
-0.018705086782574654,
0.02072247676551342,
0.020209280773997307,
0.03153497353196144,
0.018068017438054085,
-0.0176167581230402,
0.004888628609478474,
-0.023766255006194115,
-0.008029738441109657,
0.03666692599654198,
-0.029570672661066055,
-0.0006276689236983657,
0.012697162106633186
] |
General intelligence requires solving tasks across many domains. Current
reinforcement learning algorithms carry this potential but are held back by the
resources and knowledge required to tune them for new tasks. We present
DreamerV3, a general and scalable algorithm based on world models that
outperforms previous approaches across a wide range of domains with fixed
hyperparameters. These domains include continuous and discrete actions, visual
and low-dimensional inputs, 2D and 3D worlds, different data budgets, reward
frequencies, and reward scales. We observe favorable scaling properties of
DreamerV3, with larger models directly translating to higher data-efficiency
and final performance. Applied out of the box, DreamerV3 is the first algorithm
to collect diamonds in Minecraft from scratch without human data or curricula,
a long-standing challenge in artificial intelligence. Our general algorithm
makes reinforcement learning broadly applicable and allows scaling to hard
decision-making problems. | [
0.03079364448785782,
0.022719120606780052,
-0.03178391605615616,
-0.03715423494577408,
0.017034579068422318,
0.03637344390153885,
0.02033866010606289,
0.03919190913438797,
-0.01630139723420143,
0.04273403808474541,
0.032450444996356964,
0.017605889588594437,
0.025328105315566063,
-0.06768126785755157,
-0.011340516619384289,
0.056940630078315735,
0.0386967733502388,
0.024337833747267723,
-0.07659371197223663,
-0.028508402407169342,
-0.03481186181306839,
-0.024452095851302147,
-0.03624013811349869,
0.03326932340860367,
0.05492199584841728,
-0.0014627933269366622,
0.04471458122134209,
-0.01722501590847969,
-0.06448192894458771,
0.05994953215122223,
0.010454985313117504,
0.020852839574217796,
0.01069303136318922,
-0.005232253577560186,
-0.004868042655289173,
-0.016825098544359207,
0.03424055129289627,
0.014111373573541641,
-0.011159601621329784,
0.03157443553209305,
-0.0020222016610205173,
0.02978432923555374,
-0.044447969645261765,
-0.0109120337292552,
-0.00008071251068031415,
-0.005056099500507116,
-0.053779374808073044,
0.029746241867542267,
-0.01688222959637642,
-0.022147810086607933,
-0.014501769095659256,
-0.08615364879369736,
0.05137987062335014,
-0.024909144267439842,
-0.051303695887327194,
0.03233618289232254,
0.04490501806139946,
-0.007250884547829628,
0.032793231308460236,
0.03585926443338394,
0.029993809759616852,
-0.009759889915585518,
-0.062310948967933655,
0.027289604768157005,
0.00020769522234331816,
-0.04806626960635185,
0.029136843979358673,
0.01453985646367073,
-0.0040991539135575294,
-0.019319821149110794,
0.011445256881415844,
-0.014568421989679337,
-0.10100772231817245,
-0.009650388732552528,
-0.005727389361709356,
-0.010445463471114635,
0.03570691496133804,
0.027384823188185692,
-0.0019793533720076084,
-0.025651847943663597,
0.018957991153001785,
0.0011872549075633287,
0.032583750784397125,
-0.01772015169262886,
0.05610270798206329,
-0.06474854052066803,
-0.004237220622599125,
-0.05259866639971733,
0.023595130071043968,
-0.03566882759332657,
-0.039153821766376495,
0.059492483735084534,
-0.012492659501731396,
0.015768174082040787,
-0.023480867967009544,
0.002216209191828966,
-0.020929014310240746,
0.013416278176009655,
-0.07209940254688263,
0.01020741742104292,
0.0010271689388900995,
-0.05153222009539604,
0.03347880393266678,
-0.043038737028837204,
-0.013578149490058422,
-0.03673527389764786,
-0.07061399519443512,
0.006379635538905859,
0.0011598796118050814,
0.08958151191473007,
0.03178391605615616,
0.00015324217383749783,
-0.021405106410384178,
-0.003051751060411334,
0.004818052984774113,
0.06928093731403351,
-0.04311491176486015,
-0.056293144822120667,
0.05556948110461235,
-0.06421531736850739,
0.020643359050154686,
0.01447320356965065,
0.06410105526447296,
-0.034411944448947906,
-0.01801532879471779,
0.02180502377450466,
-0.014692205935716629,
0.02372843585908413,
-0.010169330053031445,
0.062387123703956604,
-0.03637344390153885,
0.02224302850663662,
-0.016196656972169876,
0.0055845617316663265,
0.03919190913438797,
0.008369700983166695,
0.02584228478372097,
-0.011216732673346996,
0.012654530815780163,
-0.010950121097266674,
-0.01076920609921217,
-0.030888862907886505,
-0.03856346756219864,
0.021214669570326805,
0.0002419143565930426,
0.0164632685482502,
-0.014035198837518692,
0.08950533717870712,
-0.00812213309109211,
0.010683509521186352,
0.00818878598511219,
0.07103295624256134,
0.03934425860643387,
0.054045986384153366,
0.007674606516957283,
0.013187753967940807,
-0.054541122168302536,
0.029536761343479156,
-0.033364541828632355,
0.018129590898752213,
0.07876469194889069,
-0.020072048529982567,
-0.009912239387631416,
0.02605176530778408,
0.047190260142087936,
0.017691586166620255,
0.023042863234877586,
0.014101851731538773,
-0.020205354318022728,
0.03317410498857498,
-0.03574500232934952,
-0.009160013869404793,
0.010921555571258068,
0.034354813396930695,
-0.012121307663619518,
0.0364496186375618,
0.05781663954257965,
0.009826542809605598,
-0.0029089234303683043,
0.018072459846735,
-0.020167266950011253,
0.04216272756457329,
0.012835445813834667,
0.0506942979991436,
0.061663463711738586,
0.04128671810030937,
0.0313459113240242,
0.008436353877186775,
0.024452095851302147,
-0.011597606353461742,
0.011511909775435925,
-0.012797358445823193,
-0.0023828414268791676,
-0.016977448016405106,
0.033574022352695465,
-0.0631488710641861,
-0.016777489334344864,
0.02401409111917019,
-0.007479408755898476,
0.025366192683577538,
-0.03825876861810684,
-0.026089852675795555,
0.04227698966860771,
0.028755970299243927,
0.01161665003746748,
0.013149666599929333,
-0.022128766402602196,
0.02315712533891201,
0.03827781230211258,
-0.04223890230059624,
-0.007422277703881264,
-0.014216113835573196,
-0.05739767849445343,
-0.04928506538271904,
-0.02845127135515213,
-0.03043181449174881,
-0.03256470710039139,
0.022547727450728416,
-0.023899829015135765,
-0.04372430965304375,
-0.004758541472256184,
-0.0062844171188771725,
0.01976734772324562,
-0.027994222939014435,
-0.002570898039266467,
-0.02513766847550869,
0.0458952896296978,
-0.006108263041824102,
-0.015149254351854324,
0.003111262572929263,
-0.03681144863367081,
0.006213003303855658,
0.026508813723921776,
0.0047133127227425575,
0.0029446303378790617,
0.015092123299837112,
-0.009364733472466469,
-0.026946818456053734,
0.011245298199355602,
0.011454778723418713,
0.03210765868425369,
-0.07845999300479889,
0.0018674717284739017,
-0.0657007247209549,
0.06562454998493195,
-0.005913065280765295,
0.014292288571596146,
0.0011485724244266748,
0.07773633301258087,
-0.028565533459186554,
-0.0031136430334299803,
0.019748304039239883,
-0.032736100256443024,
0.0353260412812233,
-0.009369494393467903,
0.024394964799284935,
0.06962372362613678,
0.027213430032134056,
-0.01105486135929823,
0.006765270140022039,
0.001554441056214273,
0.008850554004311562,
0.03397393971681595,
0.013501974754035473,
-0.051570307463407516,
0.04951358959078789,
-0.02216685377061367,
0.017244059592485428,
0.031250692903995514,
-0.0390014722943306,
-0.05416024848818779,
-0.021233713254332542,
-0.04616190120577812,
0.01652039960026741,
0.035897351801395416,
-0.0650913268327713,
0.024623489007353783,
0.006122545804828405,
0.044295620173215866,
0.0240712221711874,
0.06646247208118439,
-0.003123164875432849,
0.05492199584841728,
-0.0007361575844697654,
-0.03184104710817337,
-0.0030565119814127684,
-0.02096710167825222,
-0.013435321860015392,
-0.024680620059370995,
-0.011292907409369946,
0.024680620059370995,
0.021405106410384178,
-0.00260184402577579,
-0.0033778741490095854,
0.0434957854449749,
-0.008374461904168129,
-0.02858457714319229,
-0.01224509160965681,
0.017272625118494034,
-0.01274022739380598,
-0.024661576375365257,
-0.0026661164592951536,
0.040067922323942184,
0.006451049353927374,
0.019453126937150955,
0.030698426067829132,
-0.041096281260252,
-0.008850554004311562,
0.009759889915585518,
-0.02675638161599636,
-0.006470093037933111,
-0.015149254351854324,
0.007327059283852577,
-0.035192735493183136,
-0.03184104710817337,
0.05815942585468292,
0.05134178325533867,
-0.001900798175483942,
-0.044866930693387985,
-0.0020364844240248203,
0.021138494834303856,
0.0043586241081357,
-0.08950533717870712,
0.037820763885974884,
0.022147810086607933,
-0.011369082145392895,
-0.005894021596759558,
0.016539443284273148,
-0.04159141704440117,
-0.04159141704440117,
-0.03686857968568802,
-0.03429768234491348,
-0.023214256390929222,
0.0003805762098636478,
0.0508466474711895,
-0.0366019681096077,
0.017701108008623123,
-0.012273657135665417,
-0.022338246926665306,
-0.025518542155623436,
0.002037674654275179,
-0.011988001875579357,
-0.01842476800084114,
-0.026394551619887352,
0.013711455278098583,
-0.03387872129678726,
-0.043038737028837204,
-0.014454159885644913,
-0.035973526537418365,
0.0032183832954615355,
0.0011622600723057985,
-0.013444843702018261,
0.015558693557977676,
0.0069271414540708065,
0.024033134803175926,
-0.045362066477537155,
0.004408613778650761,
0.03528795391321182,
0.002892260206863284,
0.026032721623778343,
-0.005684541072696447,
-0.05046577379107475,
-0.05591227114200592,
0.01174995582550764,
-0.07423229515552521,
0.013444843702018261,
0.008693443611264229,
-0.018519986420869827,
-0.028832145035266876,
0.013930457644164562,
0.03614491969347,
0.033155061304569244,
0.022509640082716942,
-0.00276133487932384,
0.01984352245926857,
0.029822416603565216,
0.018253374844789505,
-0.0193483866751194,
-0.03692571073770523,
0.04540015384554863,
0.026794468984007835,
0.026146983727812767,
-0.019805435091257095,
0.0016091916477307677,
0.027499085292220116,
0.05446494743227959,
0.027289604768157005,
-0.0011783281806856394,
-0.0064891367219388485,
0.005113230552524328,
0.019081775099039078,
-0.06086362898349762,
-0.029765285551548004,
-0.004908510483801365,
0.03416437655687332,
0.014387506991624832,
0.08333518356084824,
0.0044657448306679726,
0.010274070315063,
0.012226047925651073,
0.01793915405869484,
0.059340134263038635,
-0.0703473836183548,
0.01723453775048256,
-0.00946471281349659,
-0.0012330787722021341,
0.0060511319898068905,
-0.041096281260252,
0.024394964799284935,
0.021500324830412865,
-0.007569866254925728,
-0.028927363455295563,
-0.012559312395751476,
0.02831796556711197,
0.012007045559585094,
0.014796946197748184,
0.013844761066138744,
-0.024471139535307884,
-0.00116940145380795,
-0.02986050397157669,
-0.025309061631560326,
0.01701553538441658,
0.013797151856124401,
0.004620474763214588,
-0.03911573439836502,
0.013187753967940807,
0.006560550536960363,
-0.02203354798257351,
-0.031079299747943878,
-0.0748416930437088,
0.02795613557100296,
0.0068985759280622005,
0.056026533246040344,
-0.02704203687608242,
-0.030241377651691437,
0.007050925865769386,
-0.03281227499246597,
0.04372430965304375,
-0.04871375486254692,
-0.06006379425525665,
-0.003180295927450061,
-0.06360591948032379,
0.004096773453056812,
-0.022795295342803,
0.017767760902643204,
0.015825305134058,
-0.028356052935123444,
-0.057283416390419006,
0.007031882181763649,
-0.01538730040192604,
-0.05591227114200592,
-0.01140716951340437,
-0.039725132286548615,
-0.024871056899428368,
0.056293144822120667,
0.025023406371474266,
-0.000612373580224812,
0.0019388855434954166,
-0.01716788485646248,
-0.03658292442560196,
0.05895926058292389,
0.004722834564745426,
-0.00668909540399909,
-0.04760922119021416,
-0.0010616856161504984,
0.0484471432864666,
-0.05713106691837311,
-0.03768745809793472,
0.0060368492268025875,
0.03561169654130936,
-0.0290987566113472,
-0.058007076382637024,
0.021424150094389915,
0.01274974923580885,
0.002449494320899248,
0.028470315039157867,
0.0009051703382283449,
-0.07899321615695953,
0.06520558893680573,
-0.03814450651407242,
0.01405424252152443,
0.0033064603339880705,
0.04688556119799614,
-0.030831731855869293,
0.010359766893088818,
0.015691999346017838,
0.05591227114200592,
-0.0031184039544314146,
0.011464300565421581,
0.015444431453943253,
-0.04650468751788139,
-0.011949914507567883,
-0.002554234815761447,
0.024242615327239037,
-0.03515464812517166,
0.001980543602257967,
-0.04654277488589287,
-0.06097789108753204,
0.05732150375843048,
0.029879547655582428,
-0.04273403808474541,
-0.06261564791202545,
-0.009450430050492287,
-0.002125751692801714,
0.016787011176347733,
0.04540015384554863,
-0.00367067102342844,
0.015844348818063736,
-0.019053209573030472,
-0.028641708195209503,
0.02096710167825222,
-0.013768586330115795,
-0.007907891646027565,
-0.03098408132791519,
0.032240964472293854,
0.0075365398079156876,
-0.020662402734160423,
0.02130988799035549,
0.014530334621667862,
-0.0030755556654185057,
0.007874565199017525,
0.017424974590539932,
-0.018481899052858353,
-0.002687540603801608,
-0.04764730855822563,
0.05922587215900421,
0.0290987566113472,
-0.03334549814462662,
0.06543411314487457,
-0.02161458693444729,
0.032793231308460236,
0.05515052005648613,
-0.01511116698384285,
-0.03332645446062088,
-0.02873692661523819,
-0.005798803176730871,
0.06200625002384186,
0.016825098544359207,
-0.0017782044596970081,
-0.019748304039239883,
-0.0035445066168904305,
0.020281529054045677,
0.013197275809943676,
0.015501562505960464,
0.0036754319444298744,
-0.0188627727329731,
0.00569882383570075,
-0.054122161120176315,
0.03182200342416763,
0.03128878027200699,
-0.0015925284242257476,
-0.0658530741930008,
0.010683509521186352,
-0.016149047762155533,
-0.02704203687608242,
-0.027441954240202904,
0.012892576865851879,
0.008798183873295784,
0.009688476100564003,
-0.031174518167972565,
0.05431259796023369,
-0.00004463364530238323,
-0.024909144267439842,
0.008126894012093544,
0.020929014310240746,
-0.01482551172375679,
0.048904191702604294,
0.026146983727812767,
0.0034064396750181913,
-0.005056099500507116,
-0.017605889588594437,
-0.011226254515349865,
-0.00595115264877677,
0.01453985646367073,
0.031383998692035675,
0.030165202915668488,
-0.028984494507312775,
-0.04166759178042412,
-0.0016413278644904494,
0.00988367386162281,
0.02146223746240139,
-0.019595954567193985,
0.015082601457834244,
0.03829685598611832,
-0.0022685793228447437,
-0.0314982607960701,
-0.05111325904726982,
-0.028889276087284088,
0.01652039960026741,
-0.03549743443727493,
0.004444320686161518,
0.027003949508070946,
-0.04448605701327324,
-0.039801307022571564,
-0.030965037643909454,
-0.02485201321542263,
0.002097186166793108,
0.008641073480248451,
0.02081475220620632,
-0.063301220536232,
-0.014358941465616226,
-0.01851046457886696,
4.2773910990945296e-7,
0.01651087775826454,
-0.06566263735294342,
0.02915588766336441,
0.07225175201892853,
0.004134860821068287,
-0.001321155927143991,
-0.037173278629779816,
-0.025099581107497215,
0.04475266858935356,
0.023690348491072655,
-0.010178851895034313,
0.03395489603281021,
0.032298095524311066,
-0.007027121260762215,
0.00697475066408515,
-0.013368668965995312,
-0.013425800018012524,
0.005903543438762426,
-0.040067922323942184,
0.05408407375216484,
-0.012806880287826061,
-0.01730119064450264,
0.01991969719529152,
-0.02195737324655056,
-0.04513354226946831,
0.008964816108345985,
-0.003725421614944935,
-0.014958817511796951,
0.00517036160454154,
-0.04467649385333061,
-0.0024875816889107227,
-0.014882642775774002,
-0.003049370599910617,
-0.0038944343104958534,
0.0034516684245318174,
0.01785345748066902,
-0.045438241213560104,
-0.03085077553987503,
0.04052497074007988,
0.03888721019029617,
0.016834620386362076,
0.011988001875579357,
0.02479488216340542,
0.03433576971292496,
0.008898163214325905,
0.023537999019026756,
0.02795613557100296,
0.021519368514418602,
0.04570485278964043,
0.015996698290109634,
0.06661482155323029,
-0.00039575164555571973,
0.014996904879808426,
0.049170803278684616,
-0.01126434188336134,
-0.011988001875579357,
0.0077983904629945755,
0.021290844306349754,
-0.0018460475839674473,
-0.005498865153640509,
-0.011654737405478954,
0.07510830461978912,
-0.017253581434488297,
0.05374128744006157,
0.04810435697436333,
0.026318376883864403,
0.07072825729846954,
0.021347975358366966,
-0.00017808824486564845,
-0.02993667870759964,
-0.007212797179818153,
0.02323330007493496,
-0.021024232730269432,
-0.012730705551803112,
0.03077460080385208,
-0.012692618183791637,
-0.02513766847550869,
-0.032583750784397125,
-0.005094186868518591,
0.027765696868300438,
-0.024585401639342308,
0.041972290724515915,
-0.004546680487692356,
-0.02584228478372097,
0.01603478565812111,
-0.0013818576699122787,
0.023423736914992332,
-0.035135604441165924,
0.023976003751158714,
0.009617062285542488,
0.02648977003991604,
-0.010597812943160534,
0.038087375462055206,
-0.035345084965229034,
-0.007103295996785164,
0.0509989969432354,
-0.03027946501970291,
-0.013968545943498611,
0.018900860100984573,
-0.026032721623778343,
0.02808944135904312,
0.07206131517887115,
0.002966054482385516,
0.003473092569038272,
0.030127115547657013,
-0.004922793246805668,
-0.013635280542075634,
0.016291875392198563,
-0.006746226456016302,
-0.008983859792351723,
0.002582800341770053,
0.010045546106994152,
0.009902717545628548,
0.00886007584631443,
0.0041586654260754585,
0.026146983727812767,
0.02957484871149063,
0.0072746891528368,
0.03437385708093643,
0.052560579031705856,
-0.03403107076883316,
0.015492040663957596,
-0.004851379431784153,
0.037877894937992096,
0.03559265285730362,
0.03226000815629959,
-0.01892942562699318,
-0.02513766847550869,
-0.04132480546832085,
-0.02047196589410305,
-0.0113976476714015,
0.0062272860668599606,
-0.021424150094389915,
-0.01659657433629036,
0.03890625387430191,
0.0029565326403826475,
0.007955500856041908,
-0.021938329562544823,
-0.029479630291461945,
0.07674606144428253,
0.021233713254332542,
-0.02612794004380703,
0.03783980756998062,
0.00451811496168375,
0.02464253269135952,
-0.03311697393655777,
-0.008660117164254189,
0.07190896570682526,
0.008445875719189644,
-0.007336581125855446,
0.00850776769220829,
-0.0533985011279583,
-0.003444527043029666,
0.046428512781858444,
0.020357703790068626,
-0.0029398694168776274,
-0.02435687743127346,
0.0366019681096077,
0.021424150094389915,
-0.006441527511924505,
0.019157949835062027,
0.0649389773607254,
0.00044068286661058664,
-0.07228983938694,
-0.017491627484560013,
-0.008445875719189644,
0.007184231653809547,
0.061663463711738586,
-0.0653960257768631,
0.06257756054401398,
-0.009940804913640022,
0.012207004241645336,
-0.026013677939772606,
0.005970196332782507,
0.018539030104875565,
-0.05431259796023369,
0.014139939099550247,
-0.043343435972929,
-0.013368668965995312,
0.0013937599724158645,
0.03705901652574539,
-0.03523082286119461,
0.027994222939014435,
-0.0014699347084388137,
-0.013673367910087109,
0.03620205074548721,
0.014025676995515823,
-0.0048013897612690926,
0.014501769095659256,
-0.014025676995515823,
0.000806976284366101,
0.032012440264225006,
0.021367019042372704,
-0.031802959740161896,
0.009559931233525276,
0.009721802547574043,
-0.015492040663957596,
0.010454985313117504,
-0.005527430679649115,
0.014606509357690811,
0.04920889064669609,
-0.035973526537418365,
-0.04871375486254692,
0.029631979763507843,
-0.005660736467689276,
0.0058464123867452145,
0.004475266672670841,
0.0314982607960701,
0.0053369938395917416,
-0.0008611317607574165,
-0.011026295833289623,
-0.015987176448106766,
-0.007646040990948677,
-0.004380048252642155,
0.0313459113240242,
-0.03203148394823074,
-0.017072666436433792,
-0.024375921115279198,
-0.007193753495812416,
0.01217843871563673,
0.047342609614133835,
-0.044524144381284714,
-0.018824685364961624,
0.05358893796801567,
-0.006222525145858526,
0.05046577379107475,
-0.02936536818742752,
0.03768745809793472,
0.013768586330115795,
-0.04532397910952568,
0.011588084511458874,
-0.05537904426455498,
0.055759917944669724,
0.029631979763507843,
-0.007403234019875526,
-0.0073461029678583145,
0.02746099792420864,
0.02188119851052761,
0.016272831708192825,
-0.036621011793613434,
-0.005536952521651983,
0.008660117164254189,
-0.056864455342292786,
-0.023880785331130028,
0.00857442058622837,
-0.021024232730269432,
0.000585593399591744,
0.03764937072992325,
0.015358734875917435,
0.03627822548151016,
0.0019127004779875278,
0.004458603449165821,
0.06234903633594513,
0.04696173593401909,
0.004168187268078327,
0.024337833747267723,
-0.0038206400349736214,
-0.014958817511796951,
0.015520606189966202,
0.013835239224135876,
-0.06383444368839264,
0.027632391080260277,
-0.014092329889535904,
0.01566343382000923,
-0.010740640573203564,
0.02365226112306118,
-0.04315299913287163,
-0.006817640271037817,
0.032736100256443024,
-0.037458933889865875,
0.010826337151229382,
-0.025518542155623436,
0.011645215563476086,
-0.02704203687608242,
-0.08569660037755966,
-0.016929838806390762,
-0.007422277703881264,
0.05720724165439606,
0.007422277703881264,
0.053208064287900925,
-0.020319616422057152,
0.014425594359636307,
-0.027003949508070946,
-0.009759889915585518,
-0.010502594523131847,
0.015558693557977676,
-0.04300064966082573,
-0.005037055816501379,
-0.026737337931990623,
0.0026756383012980223,
-0.009788455441594124,
0.04623807594180107,
0.013254406861960888,
-0.007446082308888435,
-0.005794042255729437,
0.018738988786935806,
-0.0018674717284739017,
0.019186515361070633,
-0.04821861907839775,
-0.029974766075611115,
-0.017986763268709183,
-0.015292081981897354,
0.022985732182860374,
0.05537904426455498,
0.017777282744646072,
0.046009551733732224,
-0.05168456956744194,
-0.024756794795393944,
-0.02260485850274563,
0.04852331802248955,
0.015758652240037918,
0.054617296904325485,
-0.03077460080385208,
-0.029765285551548004,
-0.027365779504179955,
0.01971021667122841,
-0.020376747474074364,
0.012140351347625256,
0.015415865927934647,
0.002103137318044901,
0.04052497074007988,
-0.017529714852571487,
0.0015508703654631972,
-0.03488803654909134,
0.005536952521651983,
0.010864424519240856,
-0.02245250903069973,
-0.0359925702214241,
0.04878992959856987,
0.03243140131235123,
-0.011864217929542065,
0.09552314132452011,
-0.024414008483290672,
-0.03176487237215042,
0.017882023006677628,
-0.01566343382000923,
0.02498531900346279,
-0.03812546283006668,
-0.006598637904971838,
-0.005594083573669195,
0.011302429251372814,
-0.00981702096760273,
-0.049742113798856735,
0.014730293303728104,
0.04227698966860771,
-0.001554441056214273,
-0.00002339546881557908,
0.014025676995515823,
-0.023976003751158714,
0.03458333760499954,
0.04661894962191582,
-0.02117658220231533,
-0.022357290610671043,
0.008536333218216896,
0.006365352775901556,
0.017891544848680496,
0.03256470710039139,
0.027441954240202904,
0.024528270587325096,
-0.06120641529560089,
-0.028965450823307037,
-0.04646660014986992,
-0.005013251211494207,
-0.013778108172118664,
-0.003473092569038272,
-0.04170567914843559,
0.007431799545884132,
-0.012473615817725658,
-0.028222747147083282,
0.021290844306349754,
-0.02506149373948574,
0.013901892118155956,
-0.008550615981221199,
-0.009864630177617073,
-0.0037968354299664497,
0.009826542809605598,
0.018738988786935806,
0.05480773374438286,
-0.04212464019656181,
0.01553012803196907,
0.0230999942868948,
-0.007926935330033302,
-0.017263103276491165,
0.04463840648531914,
-0.012159395031630993,
0.009412342682480812,
0.00833161361515522,
-0.04665703698992729,
0.0014877881621941924,
0.01511116698384285,
-0.021976416930556297,
-0.03953469544649124,
0.02260485850274563,
-0.03079364448785782,
-0.04414327070116997,
0.047837745398283005,
0.05438877269625664,
-0.024737751111388206,
-0.029708154499530792,
-0.013682889752089977,
0.035059429705142975,
0.04978020116686821,
0.0004927554400637746,
0.0577404648065567,
0.01589195802807808,
-0.021271800622344017,
0.035840220749378204,
0.02732769213616848,
-0.029136843979358673,
0.0017389267450198531,
-0.03334549814462662,
-0.0009527795482426882,
0.0021388442255556583,
-0.03768745809793472,
0.03669718652963638,
0.003842064179480076,
-0.005541713442653418,
0.0024852012284100056,
-0.008445875719189644,
-0.011140557937324047,
-0.033002711832523346
] |
Identifying whether a given sample is an outlier or not is an important issue
in various real-world domains. This study aims to solve the unsupervised
outlier detection problem where training data contain outliers, but any label
information about inliers and outliers is not given. We propose a powerful and
efficient learning framework to identify outliers in a training data set using
deep neural networks. We start with a new observation called the
inlier-memorization (IM) effect. When we train a deep generative model with
data contaminated with outliers, the model first memorizes inliers before
outliers. Exploiting this finding, we develop a new method called the outlier
detection via the IM effect (ODIM). The ODIM only requires a few updates; thus,
it is computationally efficient, tens of times faster than other
deep-learning-based algorithms. Also, the ODIM filters out outliers
successfully, regardless of the types of data, such as tabular, image, and
sequential. We empirically demonstrate the superiority and efficiency of the
ODIM by analyzing 20 data sets. | [
-0.012117228470742702,
-0.018078196793794632,
-0.03039071522653103,
-0.008750814944505692,
-0.007379140704870224,
0.011494162492454052,
-0.031153272837400436,
0.03786750137805939,
-0.016952959820628166,
0.047538965940475464,
0.018347883597016335,
-0.07253597676753998,
0.01803169958293438,
-0.056652460247278214,
-0.03267838805913925,
-0.02391827292740345,
-0.003484981833025813,
-0.012433410622179508,
0.035989005118608475,
-0.054866958409547806,
0.012470608577132225,
-0.019361525774002075,
-0.029311975464224815,
-0.005124015733599663,
0.021407412365078926,
0.0377001091837883,
0.04608824476599693,
-0.026484930887818336,
-0.040210969746112823,
0.06305050104856491,
0.022653544321656227,
0.015223256312310696,
0.01349355187267065,
-0.007341942749917507,
-0.029553761705756187,
0.028698209673166275,
0.02981414645910263,
0.05092397704720497,
0.0012496182462200522,
0.001536739757284522,
-0.0004045275563839823,
-0.04035976156592369,
0.004068524576723576,
0.03957860544323921,
0.01661817915737629,
-0.022988324984908104,
-0.039801791310310364,
-0.06208335608243942,
-0.026838311925530434,
0.024606436491012573,
0.007081557530909777,
-0.08481130003929138,
-0.0015309276059269905,
-0.06063263863325119,
-0.06662150472402573,
0.06223214790225029,
0.07205240428447723,
-0.0056680357083678246,
0.04649742320179939,
-0.052374694496393204,
-0.043298400938510895,
0.03186003491282463,
0.014739682897925377,
0.015279052779078484,
-0.027080098167061806,
-0.005207711365073919,
0.07212679833173752,
-0.03890904411673546,
0.030539507046341896,
-0.010266630910336971,
-0.05070078745484352,
0.00420801667496562,
-0.015567337162792683,
-0.002541084075346589,
-0.03124626725912094,
0.03122766874730587,
-0.016274098306894302,
-0.003784890053793788,
0.0009165804367512465,
-0.01986369863152504,
0.034780070185661316,
0.020440267398953438,
-0.018505973741412163,
0.008071952499449253,
0.056094489991664886,
-0.045083899050951004,
-0.007244298234581947,
-0.0603722520172596,
0.07372631132602692,
-0.04363318160176277,
0.009959748014807701,
0.029962938278913498,
-0.013372658751904964,
0.03145085647702217,
-0.035412438213825226,
0.04378197342157364,
-0.004080148879438639,
-0.008997251279652119,
-0.07502824068069458,
0.06267852336168289,
0.014879175461828709,
-0.012033532373607159,
0.005770329851657152,
0.0637572631239891,
0.014562992379069328,
-0.021835189312696457,
-0.01236831396818161,
0.03451968729496002,
-0.0037081693299114704,
0.12230681627988815,
0.011438366025686264,
0.018775658681988716,
-0.01882215589284897,
0.047352973371744156,
0.03736532852053642,
0.059293512254953384,
-0.045307088643312454,
-0.04155009612441063,
0.013893429189920425,
-0.060521043837070465,
0.017892207950353622,
0.07603258639574051,
0.03342234715819359,
0.0068025728687644005,
-0.054048601537942886,
0.012219522148370743,
-0.00962496642023325,
0.031525250524282455,
-0.0009636590839363635,
0.02795425057411194,
0.019380126148462296,
-0.0030200076289474964,
-0.0015344149433076382,
-0.03502185642719269,
0.015744026750326157,
0.011745248921215534,
0.020589059218764305,
0.027879854664206505,
0.010062041692435741,
0.004540473222732544,
0.0052309599705040455,
-0.019714906811714172,
-0.07372631132602692,
0.025610780343413353,
-0.008578774519264698,
0.026224546134471893,
-0.021035432815551758,
0.0649104043841362,
-0.03604480251669884,
0.0033617636654525995,
-0.056094489991664886,
0.03751412034034729,
0.003747692098841071,
0.03928102180361748,
0.01551153976470232,
-0.02572237327694893,
0.015548737719655037,
-0.03524504601955414,
-0.08369535952806473,
-0.09924409538507462,
0.0437447726726532,
-0.009401778690516949,
0.0231185182929039,
0.04638582840561867,
-0.01903604529798031,
0.009062347933650017,
0.06386885792016983,
-0.017724817618727684,
-0.0400993749499321,
0.039838992059230804,
-0.010396823287010193,
0.003189723240211606,
-0.02754507213830948,
0.03665856644511223,
0.011233776807785034,
0.05553651973605156,
0.04746456816792488,
-0.025201601907610893,
0.007360541727393866,
-0.06007466837763786,
-0.017492329701781273,
0.02373228408396244,
0.03708634525537491,
0.026708118617534637,
0.02553638443350792,
0.025275997817516327,
0.051221560686826706,
-0.027470676228404045,
0.015018667094409466,
0.030688298866152763,
-0.020384470000863075,
0.00872291624546051,
0.02127722091972828,
0.013093673624098301,
-0.003310616360977292,
-0.027284687384963036,
-0.06308770179748535,
0.007932459935545921,
-0.021351616829633713,
-0.008453231304883957,
-0.01945452205836773,
-0.057879991829395294,
0.012889085337519646,
-0.031134674325585365,
0.03649117797613144,
-0.03727233409881592,
0.0068630194291472435,
-0.01407941896468401,
0.017483031377196312,
-0.03100448101758957,
0.0018064248142763972,
-0.017603924497961998,
-0.05319305136799812,
-0.013502851128578186,
-0.025443390011787415,
0.0007590703899040818,
-0.049398861825466156,
-0.018403679132461548,
-0.029163183644413948,
-0.04117811843752861,
-0.022653544321656227,
0.02127722091972828,
0.039615802466869354,
-0.03262259066104889,
-0.038425467908382416,
-0.04705538973212242,
0.034594081342220306,
0.029274776577949524,
-0.002283023437485099,
-0.004026676528155804,
-0.02875400520861149,
-0.028884198516607285,
-0.006904867012053728,
-0.0774461030960083,
-0.040210969746112823,
-0.015967214480042458,
0.00791386142373085,
0.000839278451167047,
0.0014623439637944102,
-0.01868266426026821,
-0.015269753523170948,
-0.012526405043900013,
-0.049212872982025146,
-0.026019956916570663,
0.029516562819480896,
0.0006637506885454059,
-0.007383790798485279,
0.009406428784132004,
0.06022346019744873,
0.06055824086070061,
-0.008662469685077667,
-0.007974307984113693,
-0.024811023846268654,
0.04541868343949318,
-0.05006842315196991,
0.017892207950353622,
-0.009383180178701878,
-0.03425930067896843,
-0.0005602939054369926,
-0.026057155802845955,
0.030148928984999657,
0.0076581253670156,
-0.035393837839365005,
0.016915762796998024,
-0.02815883792936802,
-0.03554262965917587,
0.08131469041109085,
0.012870486825704575,
0.034798670560121536,
0.0055424924939870834,
0.026429135352373123,
0.04437714070081711,
-0.03442669287323952,
-0.023881075903773308,
0.055462125688791275,
-0.00008979814447229728,
0.05375101789832115,
-0.033180560916662216,
0.030334917828440666,
0.023862477391958237,
0.0048543307930231094,
-0.027098696678876877,
0.009262286126613617,
-0.06416644155979156,
0.007281496189534664,
0.001383298309519887,
0.017948005348443985,
-0.03931821882724762,
-0.0400993749499321,
-0.01104778703302145,
-0.016701873391866684,
0.0717548206448555,
-0.1034102663397789,
0.050961174070835114,
0.020793646574020386,
0.02213277295231819,
-0.033757127821445465,
-0.036788761615753174,
-0.009397128596901894,
-0.06915096938610077,
-0.03872305154800415,
-0.012321816757321358,
0.04497230798006058,
0.055276136845350266,
-0.007355892099440098,
0.0018808207241818309,
-0.031302064657211304,
0.008369536139070988,
0.0015425520250573754,
-0.06264133006334305,
-0.005649436730891466,
-0.024011269211769104,
-0.01012713834643364,
-0.008085901848971844,
0.019231334328651428,
0.006309700198471546,
0.022225767374038696,
-0.043670378625392914,
0.007165252696722746,
-0.03187863156199455,
0.013437754474580288,
0.022876732051372528,
-0.04422834888100624,
0.02291392907500267,
-0.0025992058217525482,
0.004614869132637978,
-0.01642289012670517,
0.05293266475200653,
-0.020961036905646324,
-0.012200923636555672,
-0.06316209584474564,
-0.02719169296324253,
-0.04433993995189667,
-0.00013731270155403763,
-0.017566725611686707,
0.006728176958858967,
-0.03412910923361778,
0.045530274510383606,
-0.03187863156199455,
-0.01584632135927677,
0.00009066997154150158,
-0.028698209673166275,
-0.05330464616417885,
-0.039653003215789795,
-0.027098696678876877,
-0.015976514667272568,
-0.019752105697989464,
-0.046125441789627075,
-0.014600190334022045,
-0.008058003149926662,
0.0009200677159242332,
-0.03827667608857155,
-0.009508722461760044,
0.024420445784926414,
0.04155009612441063,
-0.03563562408089638,
-0.06632392108440399,
0.006165558006614447,
-0.028698209673166275,
0.021444611251354218,
0.0024899370037019253,
-0.013428455218672752,
-0.02375088259577751,
0.04203366860747337,
-0.05977708473801613,
0.012545004487037659,
-0.0018296735361218452,
0.03264119103550911,
-0.009406428784132004,
0.014944271184504032,
0.0097365602850914,
0.0016611204482614994,
-0.03368273377418518,
0.029683955013751984,
-0.010806000791490078,
-0.024662232026457787,
0.020421667024493217,
-0.008188195526599884,
0.018301384523510933,
0.026019956916570663,
-0.020403068512678146,
0.009080946445465088,
-0.007844114676117897,
0.0020877341739833355,
-0.0180502999573946,
0.019752105697989464,
-0.03204602375626564,
0.0231185182929039,
0.00003478224971331656,
0.035989005118608475,
0.0052030617371201515,
-0.0353008434176445,
-0.012033532373607159,
-0.08369535952806473,
0.04832012206315994,
0.013028577901422977,
-0.03935541957616806,
0.010647909715771675,
0.016580980271100998,
-0.02613155171275139,
-0.02516440488398075,
0.016060208901762962,
0.010248031467199326,
-0.011568558402359486,
0.014544393867254257,
0.03544963523745537,
0.05014282092452049,
0.0328085795044899,
0.04560467228293419,
0.011801045387983322,
0.02127722091972828,
0.001253105467185378,
0.021333016455173492,
0.046906597912311554,
0.007481435313820839,
-0.03584021329879761,
-0.054048601537942886,
-0.013019277714192867,
-0.017752716317772865,
0.0003179261111654341,
-0.025833968073129654,
-0.002968860324472189,
0.028512218967080116,
0.006621232721954584,
-0.02778685837984085,
0.03691895306110382,
0.004128971137106419,
-0.02008688636124134,
0.03265978768467903,
-0.0008561337599530816,
0.009290184825658798,
-0.00018598968745209277,
0.02332310751080513,
-0.0061423094011843204,
0.0029246879275888205,
0.010294529609382153,
0.04244284704327583,
0.02293252758681774,
-0.047315776348114014,
0.04062014818191528,
0.004335884470492601,
-0.03513345122337341,
-0.0025992058217525482,
0.026298942044377327,
-0.05330464616417885,
-0.06267852336168289,
-0.03122766874730587,
-0.03102307952940464,
-0.05579690635204315,
-0.03898343816399574,
-0.0660635381937027,
0.002731723478063941,
-0.01801310107111931,
-0.06256692856550217,
0.08042193949222565,
-0.007323343772441149,
-0.001797125325538218,
-0.010303828865289688,
0.005909822415560484,
-0.03204602375626564,
-0.01075020432472229,
0.05639207363128662,
-0.00021781136456411332,
-0.05274667590856552,
0.0013182018883526325,
0.013344760052859783,
-0.06639831513166428,
-0.0077743688598275185,
0.007309394888579845,
0.009969047270715237,
0.05110996589064598,
-0.0847368985414505,
-0.011484863236546516,
0.014693185687065125,
0.04660901427268982,
0.038425467908382416,
-0.027061499655246735,
-0.017548127099871635,
0.0628645122051239,
-0.027042901143431664,
0.011224477551877499,
-0.015939315780997276,
-0.005537842866033316,
-0.002859591506421566,
0.011270974762737751,
0.03446388989686966,
0.10549335181713104,
0.0037988394033163786,
0.02739628031849861,
-0.030111730098724365,
-0.01806889846920967,
-0.012526405043900013,
-0.0037011948879808187,
-0.022207168862223625,
-0.04445153474807739,
-0.060521043837070465,
-0.06598914414644241,
-0.02395547181367874,
0.08689438551664352,
0.019398724660277367,
0.025090008974075317,
0.0337013304233551,
-0.04274043068289757,
0.001038636197336018,
0.006514288950711489,
0.019156938418745995,
0.002517835469916463,
-0.006314349826425314,
0.003166474401950836,
-0.040657345205545425,
-0.01945452205836773,
-0.022616345435380936,
-0.017715517431497574,
-0.034947462379932404,
0.027638068422675133,
0.015892818570137024,
0.012517105787992477,
-0.014869875274598598,
0.06773744523525238,
0.005235609598457813,
0.017390035092830658,
0.03784890100359917,
-0.03371993079781532,
0.03792329877614975,
-0.04117811843752861,
0.045121099799871445,
0.0360076017677784,
-0.008313738740980625,
0.04727857932448387,
-0.0008805449469946325,
-0.02291392907500267,
0.0365469753742218,
0.0007439587498083711,
-0.0172505434602499,
-0.019017444923520088,
-0.02125862054526806,
0.015613834373652935,
0.02897719293832779,
-0.020328672602772713,
-0.046943798661231995,
-0.02045886591076851,
-0.005096117500215769,
-0.006002817302942276,
-0.02856801636517048,
-0.014256109483540058,
-0.004338209517300129,
0.0006968801026232541,
-0.026317540556192398,
-0.0014030596939846873,
0.025387592613697052,
0.030093131586909294,
0.0016994808102026582,
-0.00678862351924181,
0.012182324193418026,
0.0008648520451970398,
-0.009141393005847931,
-0.06833261251449585,
-0.0026410536374896765,
-0.006314349826425314,
0.021426012739539146,
-0.01015503704547882,
0.036156393587589264,
0.0036012253258377314,
-0.011010589078068733,
-0.00411037215963006,
0.008522977121174335,
0.010052742436528206,
0.047762151807546616,
-0.03189723193645477,
0.015260454267263412,
-0.030706897377967834,
-0.01784571073949337,
-0.022969726473093033,
-0.041661690920591354,
-0.0030804541893303394,
-0.002314409241080284,
0.028661010786890984,
-0.03582161292433739,
0.0036477227695286274,
0.017696918919682503,
0.02049606293439865,
0.006193456705659628,
0.03042791225016117,
0.04221965745091438,
0.010982691310346127,
-0.0020017139613628387,
-0.006542187184095383,
-0.05750801041722298,
0.049212872982025146,
-0.01470248494297266,
0.036770161241292953,
0.05114716291427612,
-0.028028646484017372,
0.004280087538063526,
-0.04765055701136589,
-0.021983981132507324,
0.013753937557339668,
0.00638409610837698,
0.02923757955431938,
0.009132093749940395,
0.018970947712659836,
0.012591501697897911,
0.002908413764089346,
0.05044040456414223,
0.02109123021364212,
-0.0026550027541816235,
-0.023676486685872078,
-0.003989478573203087,
0.06104181706905365,
0.017129650339484215,
0.02512720599770546,
0.010136437602341175,
0.03792329877614975,
-0.018533872440457344,
-0.011596457101404667,
0.013530749827623367,
0.031562451273202896,
-0.014535093680024147,
-0.027675265446305275,
0.0024155410937964916,
-0.025071410462260246,
-0.008783362805843353,
0.04433993995189667,
0.04932446405291557,
0.01528835203498602,
0.03969020023941994,
0.004217315930873156,
-0.041884876787662506,
-0.010796701535582542,
-0.03176703676581383,
-0.010182935744524002,
0.025183003395795822,
-0.01663677766919136,
0.010303828865289688,
-0.03582161292433739,
-0.01012713834643364,
-0.00573778199031949,
-0.017696918919682503,
0.02957236021757126,
0.02228156477212906,
0.01601371169090271,
0.03208322077989578,
0.006853720173239708,
0.038611460477113724,
-0.012721695005893707,
0.04050855338573456,
0.020551860332489014,
0.009876052848994732,
0.03509625419974327,
0.06929975748062134,
0.0026991753838956356,
0.02090524137020111,
0.01967770978808403,
0.021797992289066315,
-0.030520908534526825,
-0.025480587035417557,
0.04649742320179939,
-0.004998472984880209,
-0.018310684710741043,
0.015130260959267616,
0.029125984758138657,
-0.015344149433076382,
0.02330450713634491,
-0.00931808352470398,
0.013558648526668549,
0.02008688636124134,
0.02172359637916088,
-0.030372116714715958,
-0.02047746442258358,
0.03745832294225693,
-0.008867057971656322,
-0.06007466837763786,
-0.005644787102937698,
-0.01155925914645195,
0.040471356362104416,
-0.03697475045919418,
0.05144474655389786,
0.009485473856329918,
0.027638068422675133,
-0.049175672233104706,
-0.016283396631479263,
-0.012507806532084942,
0.012042832560837269,
0.029702553525567055,
-0.029646756127476692,
0.00017174985259771347,
0.005984218325465918,
0.017948005348443985,
0.002141206292435527,
0.007593029178678989,
-0.007290795911103487,
-0.028921395540237427,
0.04493510723114014,
0.01257290318608284,
0.013121572323143482,
-0.060930222272872925,
-0.026243144646286964,
-0.012610101141035557,
0.0259641595184803,
0.025703774765133858,
-0.023044122382998466,
0.006091162096709013,
-0.028065843507647514,
0.042703233659267426,
0.011587157845497131,
0.0010624660644680262,
-0.00038244129973463714,
0.005268157925456762,
-0.009053047746419907,
-0.035003259778022766,
0.029907140880823135,
0.04158729314804077,
-0.013856232166290283,
0.010275930166244507,
0.014060820452868938,
0.014274708926677704,
0.03306896612048149,
-0.010610711760818958,
0.03171124309301376,
0.015548737719655037,
0.028716808184981346,
0.005793578922748566,
0.014841977506875992,
-0.07279636710882187,
0.009829554706811905,
-0.014032921753823757,
-0.029516562819480896,
-0.03697475045919418,
-0.015046565793454647,
0.01461878977715969,
0.0722011998295784,
-0.011010589078068733,
-0.0025108607951551676,
-0.01256360299885273,
-0.015957914292812347,
-0.00912279449403286,
0.022411758080124855,
0.03595180809497833,
0.011429065838456154,
-0.05490415543317795,
0.011112883687019348,
-0.020775048062205315,
0.0421452634036541,
0.015520839020609856,
0.006402695085853338,
0.02713589556515217,
0.023416101932525635,
0.03492886200547218,
-0.011894040741026402,
-0.0036918953992426395,
0.03466847911477089,
-0.013939927332103252,
0.005774979945272207,
-0.022653544321656227,
-0.06665870547294617,
-0.001490242313593626,
0.043298400938510895,
-0.015706829726696014,
0.021649200469255447,
-0.017529528588056564,
0.04590225592255592,
0.00623995391651988,
0.00953197106719017,
-0.029907140880823135,
0.05233749747276306,
0.005100767128169537,
-0.0037011948879808187,
-0.02295112796127796,
0.005612238775938749,
-0.023062720894813538,
0.04705538973212242,
0.02657792717218399,
0.03197162598371506,
-0.012349715456366539,
0.006532887928187847,
0.005393701139837503,
0.0503288097679615,
0.001819211640395224,
-0.004910127725452185,
-0.0022493128199130297,
-0.04456312954425812,
0.006611933466047049,
0.0011734786676242948,
0.03146945685148239,
-0.008239342831075191,
0.026615124195814133,
-0.021165626123547554,
-0.018589669838547707,
-0.016943659633398056,
0.03184143453836441,
-0.002729398664087057,
-0.008485779166221619,
0.04809693247079849,
-0.007676724344491959,
0.02150040864944458,
0.06963454186916351,
0.010303828865289688,
-0.01661817915737629,
-0.010499117895960808,
-0.033385150134563446,
0.04474911838769913,
0.006584034767001867,
-0.02633613906800747,
0.03022332489490509,
-0.038462668657302856,
-0.03796049579977989,
-0.013512150384485722,
-0.0035082304384559393,
0.027024300768971443,
-0.014125917106866837,
0.030074533075094223,
-0.008104500360786915,
0.01908254250884056,
-0.0218723863363266,
0.003496606135740876,
-0.0009520347230136395,
-0.015381347388029099,
0.0019517292967066169,
-0.0008671769173815846,
0.010089940391480923,
-0.01659957878291607,
-0.06022346019744873,
-0.00271544954739511,
-0.04385636746883392,
-0.0008677581208758056,
0.04482351616024971,
0.03783030062913895,
0.003631448606029153,
0.050812382251024246,
0.0027131245005875826,
0.03712354227900505,
0.0010293367085978389,
-0.006365497130900621,
0.03652837499976158,
-0.03446388989686966,
0.026689520105719566,
0.014488596469163895,
0.004182443022727966,
0.03809068724513054,
-0.009280885569751263,
0.04646022245287895,
-0.014879175461828709,
-0.034166306257247925,
-0.04314960911870003,
0.05925631523132324,
0.044711921364068985,
-0.0062632025219500065,
0.0348544679582119,
0.021370215341448784,
0.032975971698760986,
0.028028646484017372,
-0.006472440902143717,
0.032975971698760986,
0.038388270884752274,
0.03262259066104889,
0.01063861045986414,
0.021202825009822845,
-0.009299484081566334,
0.009308784268796444,
0.0017924755811691284,
0.031320665031671524,
0.02940496988594532,
0.0012507806532084942,
0.02774966135621071,
0.038239479064941406,
0.006765374913811684,
0.011308172717690468,
-0.03024192340672016,
0.01438630186021328,
-0.04158729314804077,
0.026187347248196602,
-0.008574124425649643,
-0.045344285666942596,
0.055238936096429825,
-0.02146320976316929,
-0.0075232828967273235,
-0.012293918058276176,
-0.014581591822206974,
-0.014655987732112408,
-0.02819603681564331,
-0.008588073775172234,
0.04415395110845566,
0.0259641595184803,
-0.05575970932841301,
0.054680969566106796,
-0.01742723397910595,
-0.0019877648446708918,
-0.00018192116112913936,
-0.06059544160962105,
-0.04073174297809601,
0.0059191216714680195,
0.008536926470696926,
-0.02516440488398075,
0.035989005118608475,
0.019938094541430473,
0.03509625419974327,
-0.013065775856375694,
-0.005886573810130358,
0.012433410622179508,
-0.017771314829587936,
-0.010034143924713135,
-0.0223187617957592,
-0.011912639252841473,
0.013614444993436337,
0.0033710631541907787,
-0.025238800793886185,
0.034761473536491394,
-0.008871708065271378,
-0.01886865310370922,
0.015362747944891453,
-0.005956319626420736,
-0.00791851058602333,
0.007951059378683567,
-0.035579826682806015,
0.06665870547294617,
-0.017343537881970406,
-0.015446443110704422,
-0.01663677766919136,
0.043707575649023056,
-0.00872291624546051,
0.01639499142765999,
-0.004566046874970198,
0.024811023846268654,
0.03403611108660698,
-0.03269698843359947,
0.0017657396383583546,
-0.04262883588671684,
0.042703233659267426,
-0.04582785815000534,
0.0774461030960083,
-0.026875508949160576,
0.028289031237363815,
0.013140171766281128,
0.047948140650987625,
0.07249878346920013,
0.015455743297934532,
-0.011233776807785034,
0.04478631541132927,
-0.021333016455173492,
-0.009857453405857086,
-0.015186058357357979,
0.0036616718862205744,
-0.026112951338291168,
0.02349049784243107,
0.024383248761296272,
-0.025090008974075317,
0.0024504142347723246,
-0.011438366025686264,
-0.022262966260313988,
0.022169969975948334,
-0.03556123003363609,
-0.019566114991903305,
0.04705538973212242,
0.02295112796127796,
-0.017594624310731888,
0.009006550535559654,
-0.019175536930561066,
0.05352783203125,
-0.04954765364527702,
-0.01114078238606453,
0.010396823287010193,
-0.0006393395597115159,
-0.0090251499786973,
-0.015520839020609856,
0.017585324123501778,
0.06282731890678406,
0.027675265446305275,
-0.004149894695729017,
-0.002717774361371994,
0.019714906811714172,
-0.0016460086917504668,
-0.012916984036564827,
0.004108047112822533,
0.03126486763358116,
-0.004022026900202036,
0.06308770179748535,
0.042703233659267426,
-0.02678251452744007,
-0.03466847911477089,
0.0002445473801344633,
0.012693796306848526,
-0.012117228470742702,
0.01721334643661976,
0.03388731926679611,
-0.028047244995832443,
-0.027266088873147964,
0.006370146758854389,
-0.06814662367105484,
-0.05110996589064598,
0.03786750137805939,
-0.038499865680933,
-0.012703095562756062,
0.007690673694014549,
0.026317540556192398,
-0.03909503296017647,
0.01528835203498602,
-0.034742873162031174,
-0.044525932520627975,
0.00026532591436989605,
0.0592191182076931,
-0.048989683389663696,
0.023211512714624405,
-0.002034262288361788,
0.057917188853025436,
0.003640748094767332,
-0.02350909635424614,
0.03451968729496002,
0.004128971137106419,
-0.02308131940662861,
0.041661690920591354,
0.00028886523796245456,
-0.034166306257247925,
-0.02332310751080513,
0.01928712986409664,
-0.03284578025341034,
0.011931238695979118,
-0.043930765241384506,
0.012033532373607159,
-0.0001684078451944515,
-0.013419155962765217,
0.0571732297539711,
-0.03119046986103058,
-0.009243687614798546,
-0.012498507276177406
] |
Recently, there are many trials to apply reinforcement learning in asset
allocation for earning more stable profits. In this paper, we compare
performance between several reinforcement learning algorithms - actor-only,
actor-critic and PPO models. Furthermore, we analyze each models' character and
then introduce the advanced algorithm, so called Reward clipping model. It
seems that the Reward Clipping model is better than other existing models in
finance domain, especially portfolio optimization - it has strength both in
bull and bear markets. Finally, we compare the performance for these models
with traditional investment strategies during decreasing and increasing
markets. | [
-0.005287537816911936,
-0.029015308246016502,
-0.03490961343050003,
-0.03532933071255684,
0.005260165315121412,
-0.019945742562413216,
-0.04084041342139244,
0.022172074764966965,
-0.07441787421703339,
0.0414973646402359,
0.01424304861575365,
-0.019015062600374222,
0.0025251528713852167,
-0.06357819586992264,
0.0018510945374146104,
0.03511034697294235,
0.07357843965291977,
0.025548070669174194,
-0.03930753096938133,
-0.03034745715558529,
0.0005283546051941812,
-0.04719093441963196,
-0.0008331636199727654,
0.05751965567469597,
-0.02153337374329567,
0.03288401663303375,
-0.013376239687204361,
-0.01927054487168789,
-0.054745864123106,
0.043577708303928375,
0.07376092672348022,
0.04116889089345932,
-0.018741333857178688,
-0.0022126452531665564,
-0.006564941722899675,
-0.02087642252445221,
0.023777954280376434,
-0.010921799577772617,
0.013056888245046139,
0.0637606829404831,
-0.007956398651003838,
0.009763012640178204,
-0.0169073473662138,
-0.04160685837268829,
0.021515125408768654,
0.014270422048866749,
-0.0014941059052944183,
-0.014480280689895153,
0.003715875558555126,
-0.002338104648515582,
0.003624632488936186,
-0.003982761409133673,
0.07693618535995483,
-0.06792137026786804,
-0.05116913467645645,
-0.012892651371657848,
0.04408866912126541,
-0.011514879763126373,
-0.016086159273982048,
-0.012317819520831108,
0.024763379245996475,
-0.04657047986984253,
-0.06606000661849976,
0.015775933861732483,
0.024635639041662216,
-0.06175333634018898,
0.05605976656079292,
-0.016889099031686783,
0.022245069965720177,
-0.023522472009062767,
-0.06814035028219223,
-0.026040783151984215,
-0.021715858951210976,
-0.00012738392979372293,
-0.03675272315740585,
0.020073482766747475,
-0.0053377216681838036,
0.03133288398385048,
-0.007477372419089079,
0.06996521353721619,
0.029872993007302284,
0.0470084473490715,
-0.07266601175069809,
0.011460133828222752,
0.04277476668357849,
0.013978444039821625,
0.029489772394299507,
-0.060329943895339966,
0.016870850697159767,
-0.0033645895309746265,
-0.04248278960585594,
0.004391074646264315,
-0.02543857879936695,
0.026569992303848267,
0.007217329926788807,
0.005419840570539236,
0.0005437518702819943,
0.01078493520617485,
-0.01430691871792078,
0.004591809120029211,
0.015401836484670639,
0.02087642252445221,
-0.03326723724603653,
-0.027865644544363022,
0.04025645926594734,
-0.02762841247022152,
-0.09759362787008286,
-0.028267115354537964,
-0.011943723075091839,
0.1319740265607834,
-0.016040537506341934,
0.021916594356298447,
-0.03700820356607437,
-0.007764788344502449,
-0.038030125200748444,
0.03850458934903145,
-0.03956301137804985,
-0.04686246067285538,
0.018494978547096252,
-0.06277525424957275,
-0.013704714365303516,
0.023558970540761948,
-0.0021031536161899567,
-0.044818613678216934,
-0.03104090504348278,
0.06638848781585693,
0.00734963221475482,
0.04824935644865036,
0.006186282727867365,
-0.0026779852341860533,
-0.058687567710876465,
-0.021588118746876717,
-0.030310960486531258,
-0.02074868232011795,
-0.014361664652824402,
0.06051242724061012,
0.014872626401484013,
-0.05974598601460457,
-0.008677219040691853,
-0.025493323802947998,
0.0030885792803019285,
-0.08430863171815872,
0.04766539856791496,
0.010319595225155354,
0.025420330464839935,
0.004685333464294672,
-0.0008588257478550076,
0.027737904340028763,
0.004959062673151493,
0.05565829575061798,
-0.018084384500980377,
0.07401640713214874,
0.011168155819177628,
0.04657047986984253,
0.035913288593292236,
-0.009507531300187111,
-0.021350886672735214,
-0.0029722442850470543,
-0.011496631428599358,
-0.0525195337831974,
0.042920757085084915,
0.0013891763519495726,
-0.01675223372876644,
0.08868829905986786,
0.02038371004164219,
0.05007421597838402,
0.003444427391514182,
-0.006651622708886862,
-0.11598823964595795,
0.042227309197187424,
-0.013266747817397118,
-0.02490936778485775,
-0.011122534982860088,
0.03326723724603653,
-0.029690507799386978,
0.04350471496582031,
0.02520134672522545,
-0.011706491000950336,
-0.02865033596754074,
0.023704959079623222,
-0.027883892878890038,
0.05135162174701691,
0.006765676196664572,
0.019398285076022148,
0.041022900491952896,
-0.008987446315586567,
0.07657121866941452,
0.006140660960227251,
0.0058030616492033005,
-0.009297672659158707,
0.041022900491952896,
0.01645113155245781,
0.029909489676356316,
-0.047081444412469864,
0.011478383094072342,
0.006783924996852875,
-0.0014747167006134987,
-0.008289435878396034,
0.014151806011795998,
0.025128351524472237,
0.035840291529893875,
-0.07722816616296768,
0.0006512476829811931,
0.01789277233183384,
0.006332271732389927,
-0.009735639207065105,
0.05200856924057007,
-0.022701285779476166,
0.002862752415239811,
-0.07054916769266129,
-0.016396386548876762,
0.011396263726055622,
-0.04978223890066147,
0.03792063519358635,
-0.06792137026786804,
-0.0007698637200519443,
0.05339546501636505,
0.045147087424993515,
-0.014799632132053375,
-0.02919779345393181,
-0.01210795994848013,
0.06649797409772873,
0.07576827704906464,
-0.04620550945401192,
-0.059964969754219055,
0.011232026852667332,
-0.015073360875248909,
0.01638726145029068,
0.029945988208055496,
0.006692681927233934,
0.0021020129788666964,
-0.020073482766747475,
0.002933465875685215,
0.050585176795721054,
0.027902141213417053,
0.04014696553349495,
0.02277427911758423,
-0.009954622946679592,
0.05390642583370209,
-0.0028171308804303408,
-0.016797855496406555,
-0.05624224990606308,
-0.007869717665016651,
0.01802963763475418,
0.0404389463365078,
0.019343538209795952,
0.016013165935873985,
0.03277452290058136,
0.05810360983014107,
0.023723207414150238,
-0.048723820596933365,
-0.05441739037632942,
-0.02366846241056919,
0.007951837033033371,
-0.038395099341869354,
0.03916154056787491,
0.048650823533535004,
-0.03177085146307945,
-0.010730189271271229,
-0.028066379949450493,
0.043285731226205826,
0.004395636729896069,
0.016378138214349747,
0.030621185898780823,
-0.03383294492959976,
0.03799362853169441,
0.035511817783117294,
0.01979975402355194,
-0.021788854151964188,
0.012117084115743637,
-0.0040283831767737865,
-0.01779240556061268,
-0.02198958955705166,
0.027902141213417053,
0.013430985622107983,
-0.012701040133833885,
0.05335896834731102,
-0.027810899540781975,
0.022464053705334663,
0.037811145186424255,
0.027080954983830452,
0.017226697877049446,
0.019653765484690666,
0.02487287111580372,
-0.01885082572698593,
-0.03989148512482643,
-0.07949099689722061,
-0.01665186695754528,
-0.017609920352697372,
0.018376361578702927,
-0.0036588485818356276,
-0.03806662559509277,
0.004594090394675732,
-0.008449112065136433,
0.04240979626774788,
-0.018905572593212128,
-0.055147334933280945,
0.010054990649223328,
0.001080660498701036,
-0.027774401009082794,
-0.0033691516146063805,
0.017427433282136917,
0.02782914787530899,
0.002363196574151516,
-0.052884504199028015,
0.0017199325375258923,
0.0067976112477481365,
-0.020529698580503464,
-0.028267115354537964,
-0.051315125077962875,
-0.04496460407972336,
0.024599142372608185,
-0.02100416272878647,
-0.02067568711936474,
-0.028960561379790306,
0.036825716495513916,
0.05989197641611099,
0.015100734308362007,
-0.02100416272878647,
-0.01914280466735363,
0.03275627642869949,
0.03700820356607437,
-0.08000195771455765,
0.02350422367453575,
0.009370666928589344,
0.002031299751251936,
0.03923453763127327,
0.02742767706513405,
-0.07540330290794373,
0.010675443336367607,
-0.03412492200732231,
-0.03054819256067276,
-0.04025645926594734,
0.0020119105465710163,
-0.022792527452111244,
-0.0017073866911232471,
-0.02766490913927555,
-0.000037459572922671214,
-0.038103122264146805,
-0.03507385030388832,
-0.03647899255156517,
0.004167528823018074,
0.005433526821434498,
0.00606310460716486,
0.019909245893359184,
-0.09219203144311905,
-0.01261892169713974,
-0.014845253899693489,
-0.015803305432200432,
0.031551867723464966,
0.0010818011360242963,
0.0019240890396758914,
0.022263318300247192,
-0.005825872533023357,
0.04737342149019241,
-0.04054843634366989,
0.04693545401096344,
0.0409134104847908,
0.009617023169994354,
0.007477372419089079,
-0.009854255244135857,
-0.054198406636714935,
-0.07569528371095657,
0.021807102486491203,
-0.018796080723404884,
0.055840782821178436,
-0.015219350345432758,
0.02766490913927555,
0.02618677169084549,
0.004304393660277128,
-0.04058493301272392,
0.034362152218818665,
0.047774892300367355,
-0.02536558359861374,
-0.007025719154626131,
0.03408842533826828,
-0.0069618490524590015,
0.004781138617545366,
-0.05332247167825699,
0.02540208026766777,
-0.00971739087253809,
0.033905938267707825,
-0.024690384045243263,
0.02343123033642769,
0.022208571434020996,
0.01463539432734251,
-0.008581413887441158,
-0.05270201712846756,
-0.004256491083651781,
0.01135976705700159,
0.017819778993725777,
-0.08372467756271362,
-0.0035060164518654346,
0.03594978526234627,
-0.015556950122117996,
-0.005980985704809427,
0.027537168934941292,
0.004662522580474615,
-0.010009368881583214,
-0.029581015929579735,
-0.036205265671014786,
0.017327066510915756,
0.008084138855338097,
0.03343147411942482,
0.008481047116219997,
0.017491303384304047,
0.015721186995506287,
-0.03144237399101257,
0.006774800829589367,
0.028394855558872223,
0.010018493048846722,
-0.020438455045223236,
-0.035219840705394745,
-0.004265615250915289,
0.029781749472022057,
0.015356214717030525,
-0.06686294823884964,
-0.012044089846313,
0.025821799412369728,
-0.029124800115823746,
-0.0013036358868703246,
0.02890581637620926,
0.04784788563847542,
-0.014407286420464516,
-0.015556950122117996,
0.010648070834577084,
0.00734963221475482,
-0.006414390634745359,
0.03334023058414459,
-0.03399718180298805,
-0.020401958376169205,
0.033413223922252655,
0.026861971244215965,
-0.06022045016288757,
-0.06890679150819778,
0.0061178505420684814,
-0.025876544415950775,
0.03653373941779137,
-0.02474513091146946,
-0.02828536368906498,
-0.020657438784837723,
-0.019818002358078957,
-0.0033600274473428726,
0.006701806094497442,
-0.008627035655081272,
-0.04813986271619797,
-0.02647874876856804,
-0.0370447002351284,
-0.02140563353896141,
0.033577464520931244,
-0.052592527121305466,
0.0006848935736343265,
-0.0719725638628006,
0.024507898837327957,
0.04105939716100693,
0.02458089217543602,
-0.00557951582595706,
-0.03251904249191284,
0.0880313515663147,
0.0020997319370508194,
-0.025475075468420982,
0.02330349013209343,
-0.011834231205284595,
-0.03569430485367775,
-0.01612265780568123,
0.01766466535627842,
0.0028946874663233757,
-0.01704421266913414,
-0.005953612737357616,
0.02301151119172573,
-0.03474537655711174,
-0.03697170689702034,
0.026113776490092278,
0.0019879592582583427,
0.015648193657398224,
0.012518553994596004,
0.026496998965740204,
-0.08795835822820663,
0.031132148578763008,
0.02107715792953968,
0.06182632967829704,
-0.053212981671094894,
0.022500550374388695,
-0.0015317436773329973,
0.06244678050279617,
-0.003330373438075185,
0.03562130779027939,
0.0003544224309735,
0.010976545512676239,
0.028011633083224297,
-0.00431807991117239,
0.012482057325541973,
-0.05120563134551048,
-0.0032847519032657146,
-0.039052050560712814,
-0.013531352393329144,
0.01894206926226616,
-0.042227309197187424,
0.04073092341423035,
-0.00940716452896595,
0.03667972981929779,
-0.02198958955705166,
-0.02087642252445221,
0.001726775779388845,
-0.0009221256477758288,
0.028230616822838783,
0.023905694484710693,
-0.025584567338228226,
-0.02894231304526329,
-0.005853245500475168,
0.01914280466735363,
0.013339742086827755,
0.02416117489337921,
-0.04405217245221138,
0.01963551715016365,
0.023942191153764725,
-0.019653765484690666,
0.016952969133853912,
0.05562179908156395,
0.02136913500726223,
0.015712063759565353,
-0.04240979626774788,
-0.03454463928937912,
0.015648193657398224,
-0.005720942746847868,
0.020821677520871162,
0.02700795978307724,
-0.05357795208692551,
0.07354194670915604,
-0.019015062600374222,
-0.05755615234375,
0.040329452604055405,
-0.024690384045243263,
-0.0498187355697155,
-0.021843599155545235,
-0.01191634964197874,
0.02540208026766777,
-0.012418187223374844,
0.004614620003849268,
-0.025621064007282257,
0.019544273614883423,
0.06865131109952927,
0.03520159050822258,
-0.036989957094192505,
0.015347090549767017,
0.02631451189517975,
0.03850458934903145,
-0.059381015598773956,
-0.010018493048846722,
0.01677960716187954,
-0.017509551718831062,
0.027737904340028763,
0.01078493520617485,
0.008248376660048962,
-0.01525584701448679,
-0.026916716247797012,
-0.03458113595843315,
-0.044891607016325,
-0.0051962947472929955,
-0.017710287123918533,
-0.022263318300247192,
-0.01651500165462494,
0.01780153065919876,
-0.02186184749007225,
-0.007308572996407747,
-0.037154193967580795,
0.043212734162807465,
0.035676054656505585,
-0.012253949418663979,
-0.049380768090486526,
-0.009320483542978764,
-0.03582204505801201,
-0.00947103463113308,
-0.005282975733280182,
-0.04113239422440529,
0.006172596011310816,
-0.04175284504890442,
0.026934964582324028,
0.0010949173010885715,
0.012180955149233341,
-0.007659859023988247,
-0.010419962927699089,
0.001108603784814477,
-0.00978126097470522,
0.0037592160515487194,
-0.0030178658198565245,
-0.0056388238444924355,
-0.012208327651023865,
0.004270177334547043,
-0.03523808717727661,
-0.03503735363483429,
0.028832821175456047,
0.003455832600593567,
-0.007513870019465685,
-0.05470936745405197,
-0.03766515478491783,
0.02947152405977249,
-0.03432565554976463,
0.03792063519358635,
-0.024051683023571968,
-0.01651500165462494,
0.002224050695076585,
-0.023449478670954704,
0.013659093528985977,
0.002976806368678808,
0.0038869562558829784,
0.028997059911489487,
0.0006432639202103019,
0.012463808059692383,
0.00011797448678407818,
0.029654009267687798,
0.02104066126048565,
-0.03215407207608223,
-0.03766515478491783,
0.05784812942147255,
0.016606245189905167,
-0.0030247089453041553,
0.053212981671094894,
-0.03759216144680977,
-0.032135821878910065,
0.022591793909668922,
-0.015109858475625515,
0.07102363556623459,
0.025748804211616516,
0.02671598084270954,
0.03629650920629501,
-0.014653642661869526,
-0.011469258926808834,
0.014471156522631645,
-0.0009494985570199788,
-0.03605927526950836,
0.010857929475605488,
-0.008271187543869019,
-0.02947152405977249,
-0.012491181492805481,
-0.010940048843622208,
-0.007846906781196594,
0.024653887376189232,
0.016131781041622162,
-0.03542057424783707,
-0.008741090074181557,
-0.006852357182651758,
0.013531352393329144,
0.08890728652477264,
-0.0013515384634956717,
0.005944488570094109,
-0.00445038266479969,
0.004986435640603304,
0.066461481153965,
0.008052203804254532,
-0.023048007860779762,
0.04503759741783142,
0.03978199511766434,
0.042920757085084915,
-0.0354570709168911,
-0.024653887376189232,
0.0475924052298069,
0.019945742562413216,
0.01691647246479988,
-0.019745009019970894,
0.012536803260445595,
0.027975136414170265,
0.00934329442679882,
0.0013104791287332773,
0.022883770987391472,
0.0035858540795743465,
0.018184751272201538,
0.006122412625700235,
0.02317574992775917,
0.041278380900621414,
-0.014790507964789867,
-0.03573080152273178,
-0.013732087798416615,
0.027445927262306213,
0.031971585005521774,
-0.02359546720981598,
0.008161695674061775,
0.061570849269628525,
-0.005109613761305809,
-0.013148131780326366,
-0.04204482212662697,
-0.004265615250915289,
-0.007632486056536436,
-0.016204776242375374,
-0.03700820356607437,
-0.0013264466542750597,
-0.0370447002351284,
0.0035881351213902235,
-0.02009173296391964,
0.0003544224309735,
0.0035470756702125072,
-0.04602302238345146,
0.037482667714357376,
-0.010246600955724716,
0.012208327651023865,
0.0321175754070282,
-0.026004284620285034,
-0.025329086929559708,
0.0015967544168233871,
0.013230250217020512,
-0.016670115292072296,
-0.008485608734190464,
-0.021350886672735214,
0.038103122264146805,
0.05178958922624588,
-0.03191683813929558,
0.005223667714744806,
0.03084016963839531,
-0.05423490330576897,
-0.01834898814558983,
0.010383465327322483,
-0.012180955149233341,
-0.028796324506402016,
0.014370789751410484,
0.04959975183010101,
-0.004356858320534229,
0.0069800978526473045,
-0.003104546805843711,
0.0008343041408807039,
0.014972994104027748,
0.04843183979392052,
0.03751916438341141,
0.007586864288896322,
-0.04427115619182587,
-0.039709001779556274,
0.029252540320158005,
0.016934720799326897,
-0.007741977460682392,
-0.07095064222812653,
-0.0010344687616452575,
-0.020073482766747475,
0.01035609282553196,
-0.010949173010885715,
0.008540354669094086,
-0.0030726115219295025,
-0.009808634407818317,
-0.011505755595862865,
0.039052050560712814,
-0.03224531561136246,
-0.008526667952537537,
0.02366846241056919,
0.007272075396031141,
-0.015547825023531914,
-0.004377387929707766,
-0.0041789342649281025,
0.019033312797546387,
-0.017436558380723,
-0.0012454683892428875,
0.0009723093826323748,
-0.007381567265838385,
0.008002020418643951,
0.006181720644235611,
0.028796324506402016,
-0.011989343911409378,
-0.056424736976623535,
-0.004274739418178797,
-0.011989343911409378,
0.05328597500920296,
-0.007564053405076265,
-0.02310275472700596,
-0.026661235839128494,
0.01796576753258705,
-0.00453934445977211,
-0.03275627642869949,
0.049417268484830856,
-0.02219032309949398,
-0.014443784020841122,
0.004664803855121136,
0.016031414270401,
0.01622302457690239,
0.039088547229766846,
0.015018614940345287,
0.027372932061553,
-0.02494586631655693,
0.013513104058802128,
0.001017930917441845,
-0.024690384045243263,
0.008476484566926956,
-0.008380679413676262,
0.026095528155565262,
-0.04204482212662697,
0.040037475526332855,
0.02025596983730793,
0.033321984112262726,
-0.017153704538941383,
0.014270422048866749,
-0.00186021882109344,
-0.023704959079623222,
0.02140563353896141,
-0.01210795994848013,
0.01294739730656147,
0.0030452387873083353,
-0.011058664880692959,
0.006893416866660118,
0.010264849290251732,
-0.013066013343632221,
-0.0332307405769825,
0.02127789333462715,
0.015502204187214375,
0.0031912275590002537,
0.03602277860045433,
-0.005365094635635614,
-0.01570293866097927,
0.031588364392519,
-0.004867819603532553,
0.02166111394762993,
-0.008344181813299656,
-0.0017826622352004051,
0.03949001803994179,
0.021843599155545235,
-0.0063733309507369995,
0.0031684169080108404,
-0.013713838532567024,
0.006478260736912489,
0.020182974636554718,
-0.007253827061504126,
-0.001822581049054861,
0.016962094232439995,
-0.04441714286804199,
-0.05733716860413551,
0.007066778838634491,
-0.01053857896476984,
-0.0038390536792576313,
-0.01198021974414587,
-0.04569454863667488,
-0.05335896834731102,
0.0011952846543863416,
-0.009544028900563717,
0.03386944159865379,
0.01566644199192524,
0.028851069509983063,
0.07861506193876266,
0.005246478598564863,
-0.001797489239834249,
-0.04945376515388489,
0.040037475526332855,
0.0028467848896980286,
0.041022900491952896,
-0.011752111837267876,
0.05558530241250992,
0.020803429186344147,
-0.025475075468420982,
-0.0437236949801445,
-0.03275627642869949,
-0.044563133269548416,
-0.012053214013576508,
0.03722718730568886,
0.018376361578702927,
0.0056753214448690414,
-0.055731289088726044,
0.03261028602719307,
-0.011368891224265099,
0.06047593057155609,
0.009854255244135857,
-0.011660869233310223,
-0.0017028244910761714,
-0.006870605982840061,
0.06408915668725967,
-0.017810653895139694,
0.0062273419462144375,
-0.005985547788441181,
-0.014845253899693489,
0.019398285076022148,
-0.0414973646402359,
0.035511817783117294,
0.00989987701177597,
-0.008239252492785454,
-0.0343439057469368,
-0.037081196904182434,
-0.07679019868373871,
0.0036520054563879967,
0.036460746079683304,
-0.028212368488311768,
0.006628811825066805,
-0.030146721750497818,
0.0030406764708459377,
-0.0150916101410985,
-0.01570293866097927,
0.05890655145049095,
-0.07339595258235931,
0.00004166530925431289,
-0.03133288398385048,
0.023558970540761948,
-0.01563906855881214,
0.02874157950282097,
0.0003316116635687649,
-0.027883892878890038,
-0.005693569779396057,
-0.03532933071255684,
0.0018145972862839699,
0.01602228917181492,
0.010711940936744213,
-0.0032893139868974686,
-0.003204914042726159,
0.059672992676496506,
-0.008248376660048962,
0.0027692283038049936,
-0.0018431107746437192,
0.007158021908253431,
-0.01021010335534811,
-0.007199081126600504,
-0.032172318547964096,
-0.013841579668223858,
-0.03788413852453232,
0.04094990715384483,
-0.008366992697119713,
0.021058909595012665,
-0.01635988987982273,
0.026460500434041023,
-0.019872749224305153,
0.019015062600374222,
-0.02239105850458145,
0.02239105850458145,
-0.0637606829404831,
0.03166135773062706,
0.03886956349015236,
-0.03100440837442875,
-0.052300550043582916,
-0.004744641482830048,
-0.026752479374408722,
0.04047544300556183,
-0.001518057193607092,
-0.02186184749007225,
0.037482667714357376,
0.01675223372876644,
0.019781505689024925,
0.0046032145619392395,
0.042920757085084915,
0.004484598524868488,
-0.03850458934903145,
-0.011879852041602135,
0.03788413852453232,
0.02828536368906498,
-0.030621185898780823,
0.05270201712846756,
0.012591549195349216,
0.017016839236021042,
0.009516656398773193,
-0.002013050951063633,
-0.04270177334547043,
-0.005529332440346479,
-0.029489772394299507,
0.010949173010885715,
-0.04182583838701248,
-0.0024795313365757465,
-0.02478162758052349,
0.029179545119404793,
0.04025645926594734,
-0.004541625734418631,
0.013376239687204361,
-0.023905694484710693,
-0.010100611485540867,
-0.004117344971746206,
-0.052264053374528885,
-0.026734231039881706,
-0.0014336573658511043,
-0.045767541974782944,
-0.03352271765470505,
-0.023376483470201492,
0.05445388704538345,
-0.005939926020801067,
-0.010054990649223328,
-0.03996448218822479,
-0.03133288398385048,
-0.032336555421352386,
0.02605903148651123,
-0.029544517397880554,
0.030274461954832077,
-0.00012239407806191593,
-0.010191855020821095,
0.037482667714357376,
-0.014516778290271759,
-0.005597764626145363,
0.03458113595843315,
-0.0042496477253735065,
0.0005811045411974192,
-0.013768584467470646,
-0.023996936157345772,
-0.012783159501850605,
0.032427798956632614,
0.026095528155565262,
0.04927127808332443,
0.006053979974240065,
-0.026934964582324028,
-0.003647443139925599,
-0.06872430443763733,
0.03124164044857025,
-0.002609552815556526,
0.01148750726133585,
0.006286649964749813,
0.03162486106157303,
-0.008038518019020557,
0.02363196387887001,
-0.07146160304546356,
-0.0030269899871200323,
0.003982761409133673,
-0.0027213257271796465,
-0.03901555389165878,
0.028267115354537964,
0.031515367329120636,
-0.015858052298426628,
0.011524003930389881,
0.010438211262226105,
0.037811145186424255,
0.002641487866640091,
0.029654009267687798,
0.06273876130580902,
0.005793937481939793,
-0.0033623084891587496,
0.03251904249191284,
-0.007463686168193817,
-0.014233924448490143,
0.004151561297476292,
0.011888977140188217,
0.03992798179388046,
0.015712063759565353,
0.0036953457165509462,
-0.0011433901963755488,
0.023814450949430466,
-0.05003771930932999,
0.023522472009062767,
-0.04244629293680191,
0.02585829608142376,
0.012098835781216621
] |
For service robots to become general-purpose in everyday household
environments, they need not only a large library of primitive skills, but also
the ability to quickly learn novel tasks specified by users. Fine-tuning neural
networks on a variety of downstream tasks has been successful in many vision
and language domains, but research is still limited on transfer learning
between diverse long-horizon tasks. We propose that, compared to reinforcement
learning for a new household activity from scratch, home robots can benefit
from transferring the value and policy networks trained for similar tasks. We
evaluate this idea in the BEHAVIOR simulation benchmark which includes a large
number of household activities and a set of action primitives. For easy mapping
between state spaces of different tasks, we provide a text-based representation
and leverage language models to produce a common embedding space. The results
show that the selection of similar source activities can be informed by the
semantic similarity of state and goal descriptions with the target task. We
further analyze the results and discuss ways to overcome the problem of
catastrophic forgetting. | [
0.00222777365706861,
0.010915754362940788,
-0.024863164871931076,
-0.05826519429683685,
0.02735665626823902,
0.034926824271678925,
-0.011570519767701626,
0.0034689137246459723,
-0.07527116686105728,
0.018548710271716118,
0.0066732303239405155,
-0.02014526166021824,
-0.004321006126701832,
-0.039608851075172424,
-0.00203941622748971,
-0.0008167755440808833,
0.01871015876531601,
0.0033523114398121834,
0.021472733467817307,
-0.03356347605586052,
0.012440551072359085,
-0.02179563045501709,
-0.06978189945220947,
-0.009830457158386707,
0.01601037010550499,
0.017041850835084915,
0.009830457158386707,
-0.0005146190524101257,
-0.06407736241817474,
0.028145963326096535,
0.021060140803456306,
0.027410471811890602,
0.017669709399342537,
0.02584979683160782,
-0.009238476864993572,
0.004843473434448242,
0.05489270016551018,
0.04592330381274223,
-0.057762905955314636,
0.0319669246673584,
0.03270241618156433,
0.02165212109684944,
-0.04961869493126869,
-0.06680405884981155,
0.012010020203888416,
-0.03383256122469902,
0.017032882198691368,
0.005623810924589634,
-0.010852968320250511,
-0.01782218925654888,
0.044093549251556396,
-0.012252193875610828,
0.08373827487230301,
-0.006027433555573225,
-0.021006323397159576,
0.059305641800165176,
0.05162784084677696,
-0.02920435182750225,
0.03634399175643921,
0.010530070401728153,
-0.04606681317090988,
0.025168122723698616,
-0.044344689697027206,
-0.022136468440294266,
0.04728665202856064,
-0.04168974980711937,
0.04703550785779953,
-0.03356347605586052,
-0.008982849307358265,
-0.011059264652431011,
-0.0363619290292263,
0.024432633072137833,
-0.04961869493126869,
-0.00887073203921318,
0.00601397966966033,
-0.023822713643312454,
0.06601475179195404,
0.008247358724474907,
-0.007206909358501434,
-0.0034083703067153692,
0.0077944048680365086,
0.04725077375769615,
0.015050645917654037,
-0.030137168243527412,
0.10770449787378311,
-0.012790357694029808,
0.048506490886211395,
-0.050766777247190475,
0.03576995059847832,
-0.005099101457744837,
-0.04427293688058853,
0.003737995633855462,
0.017732495442032814,
0.0047986265271902084,
-0.02744635008275509,
0.04796832799911499,
-0.01840519905090332,
-0.022692570462822914,
-0.028468860313296318,
-0.007108245976269245,
0.004074347671121359,
-0.007996216416358948,
-0.004164041951298714,
-0.014584236778318882,
0.02689024806022644,
-0.020127322524785995,
-0.04552865028381348,
-0.020073506981134415,
-0.006054341793060303,
0.07850015163421631,
0.040075257420539856,
-0.002049506874755025,
-0.015741288661956787,
0.030298618599772453,
-0.03928595036268234,
-0.033348213881254196,
0.000834714388474822,
-0.06231936067342758,
0.06910022348165512,
-0.028809698298573494,
0.028558555990457535,
0.008332568220794201,
0.035249724984169006,
-0.10669992864131927,
-0.008162150159478188,
0.025311633944511414,
0.013489970937371254,
0.04760955274105072,
0.024073857814073563,
0.036774519830942154,
0.006529720034450293,
0.02132922224700451,
0.010260988026857376,
0.06450789421796799,
0.0669475644826889,
-0.005368183366954327,
0.004592330660670996,
0.003672967432066798,
-0.06579948216676712,
-0.0393935851752758,
-0.009884273633360863,
0.007193455006927252,
-0.026495594531297684,
0.04143860563635826,
0.034316908568143845,
-0.01978648640215397,
0.012575092725455761,
0.07663451135158539,
-0.0006357058882713318,
0.009373018518090248,
-0.03738443925976753,
0.023158978670835495,
-0.011570519767701626,
0.043734773993492126,
-0.0014451938914135098,
0.013050470501184464,
0.0009193630539812148,
0.03341996669769287,
0.006637352518737316,
0.005762836430221796,
0.0534575954079628,
-0.05270416662096977,
-0.014333093538880348,
0.053278207778930664,
0.09873510152101517,
0.025939492508769035,
0.034873008728027344,
-0.023463938385248184,
-0.06669642776250839,
0.05198661610484123,
-0.07193455100059509,
-0.009722824208438396,
0.026513533666729927,
0.05804992839694023,
0.01544529851526022,
0.0038658094126731157,
-0.021113956347107887,
0.011893418617546558,
-0.023768898099660873,
-0.037599705159664154,
-0.0471072643995285,
0.02662116475403309,
0.0005527390167117119,
0.02507842890918255,
0.029329923912882805,
0.03896305337548256,
-0.009597253054380417,
-0.018055392429232597,
-0.017920851707458496,
-0.026746736839413643,
0.008346022106707096,
0.0388554222881794,
0.021293343976140022,
0.023051345720887184,
0.01933801732957363,
-0.07469712197780609,
-0.02154448814690113,
0.021293343976140022,
0.027643676847219467,
0.023840652778744698,
-0.021203650161623955,
-0.04642559215426445,
-0.021221589297056198,
0.018997179344296455,
0.005686596501618624,
-0.0034285513684153557,
0.023984163999557495,
0.008166634477674961,
0.03695390745997429,
-0.05618429183959961,
0.007601562421768904,
-0.02405591867864132,
-0.029365800321102142,
-0.03777909278869629,
-0.048398856073617935,
-0.0020539916586130857,
0.01978648640215397,
0.039716482162475586,
-0.04082868620753288,
0.0008324719965457916,
0.0066732303239405155,
-0.0271413903683424,
0.028199778869748116,
0.009310232475399971,
-0.022531121969223022,
0.019463587552309036,
0.04735840857028961,
-0.008180088363587856,
0.004843473434448242,
0.0030114746186882257,
-0.007381812669336796,
-0.005749382544308901,
0.02931198477745056,
-0.018674280494451523,
0.028881452977657318,
-0.015920676290988922,
0.0060408879071474075,
-0.012539214454591274,
-0.04273020103573799,
0.014377940446138382,
0.05435453727841377,
0.02430706098675728,
-0.012987684458494186,
-0.02581392042338848,
0.07763908803462982,
0.014853319153189659,
-0.0186025258153677,
0.06594299525022507,
0.0003349508624523878,
0.0380302369594574,
-0.020127322524785995,
-0.023733019828796387,
0.006910919211804867,
0.026190634816884995,
-0.021508609876036644,
0.02323073334991932,
0.028235657140612602,
-0.0009894364047795534,
0.010458314791321754,
0.013561725616455078,
0.02504255250096321,
0.04402179270982742,
0.020934568718075752,
0.04954694211483002,
-0.015373543836176395,
0.015696441754698753,
0.03182341530919075,
0.00857025757431984,
-0.007175516337156296,
-0.0055116936564445496,
-0.006108158268034458,
-0.010018814355134964,
-0.06683993339538574,
0.0584087036550045,
-0.03255890682339668,
-0.03785084933042526,
0.0008206996717490256,
-0.0011895661009475589,
0.053385842591524124,
0.07749557495117188,
-0.0039868964813649654,
-0.0471072643995285,
-0.0005353607703000307,
0.023410122841596603,
-0.07684978097677231,
-0.0465691015124321,
0.00004712436202680692,
0.01581304334104061,
-0.028056269511580467,
0.03408370167016983,
-0.04621032625436783,
-0.037599705159664154,
-0.011166897602379322,
0.03505239635705948,
0.0542827807366848,
0.013633481226861477,
-0.014593206346035004,
-0.00611712783575058,
0.05546674132347107,
-0.015274880453944206,
-0.009803549386560917,
-0.0038882328663021326,
0.06623001396656036,
-0.014413818717002869,
-0.04072105512022972,
-0.005350244231522083,
-0.0366489514708519,
0.06866969168186188,
-0.02735665626823902,
-0.031482577323913574,
0.015848921611905098,
-0.004029500763863325,
-0.03336615115404129,
-0.008296690881252289,
-0.015992432832717896,
0.027069635689258575,
0.02518606185913086,
0.024325000122189522,
-0.041976772248744965,
-0.03094441443681717,
-0.05026449263095856,
0.05413927137851715,
-0.08653672784566879,
0.021831508725881577,
0.021454794332385063,
0.020808996632695198,
0.024755531921982765,
0.02446851134300232,
-0.04064929857850075,
-0.0003596167080104351,
-0.03957297280430794,
-0.053852248936891556,
-0.06346744298934937,
0.004542998969554901,
0.017786310985684395,
-0.025526899844408035,
-0.006628383416682482,
0.024127673357725143,
-0.0030877143144607544,
-0.06414911895990372,
-0.002858994761481881,
0.02565247006714344,
0.03350966051220894,
-0.00520673394203186,
0.04438056796789169,
-0.03594933822751045,
-0.001836483716033399,
0.0575835183262825,
-0.06292928010225296,
-0.0028276019729673862,
0.0010202687699347734,
-0.03146464005112648,
0.009390956722199917,
-0.02154448814690113,
0.001975509338080883,
-0.033132947981357574,
-0.014566298574209213,
0.01719433069229126,
-0.014351032674312592,
0.006637352518737316,
0.00917569175362587,
-0.06242699176073074,
-0.04534926265478134,
0.012404673732817173,
-0.0710734874010086,
0.020504038780927658,
0.006857102736830711,
-0.031644027680158615,
0.007233817595988512,
0.0009266506531275809,
-0.010521100834012032,
0.0037267839070409536,
0.06120715290307999,
-0.06135066598653793,
-0.023733019828796387,
0.04631795734167099,
0.020486099645495415,
-0.01634223759174347,
-0.030729148536920547,
0.02504255250096321,
-0.005561025347560644,
-0.0002769300772342831,
-0.011328346095979214,
-0.033240579068660736,
0.02802039124071598,
0.1085655614733696,
0.026639103889465332,
-0.029294045642018318,
-0.043411873281002045,
0.02513224631547928,
0.057655274868011475,
-0.033689048141241074,
-0.05665070191025734,
0.020432282239198685,
-0.0037492073606699705,
0.04430881515145302,
0.02364332601428032,
-0.024020040407776833,
0.026567349210381508,
0.022477304562926292,
-0.040541667491197586,
0.02165212109684944,
0.004462274257093668,
-0.014144736342132092,
0.01442278828471899,
-0.029599005356431007,
0.001719881547614932,
0.0073638735339045525,
0.008045547641813755,
0.008579227142035961,
-0.02986808679997921,
-0.018979240208864212,
-0.015400451608002186,
0.009274355135858059,
-0.004090044181793928,
-0.004007077310234308,
-0.00920259952545166,
0.016952157020568848,
-0.01741856522858143,
-0.04122333973646164,
-0.019445648416876793,
0.004897289909422398,
0.05561025068163872,
0.02292577549815178,
-0.06020258367061615,
-0.011086172424256802,
0.011229682713747025,
0.009014242328703403,
-0.025562776252627373,
-0.042443178594112396,
0.040685176849365234,
-0.001999054104089737,
0.10849380493164062,
-0.0008941366104409099,
-0.003612424014136195,
0.0034778830595314503,
0.03139288350939751,
0.027643676847219467,
-0.03964472934603691,
-0.04689199849963188,
0.01740959659218788,
-0.03650543838739395,
-0.0388554222881794,
-0.022854018956422806,
0.0438065268099308,
-0.04287371039390564,
0.03028067946434021,
-0.02766161598265171,
0.026657043024897575,
-0.038998931646347046,
-0.05281180143356323,
0.024342939257621765,
-0.052919432520866394,
-0.01434206310659647,
0.03777909278869629,
-0.012323949486017227,
0.04642559215426445,
-0.02584979683160782,
0.023481877520680428,
-0.0165305957198143,
0.029886025935411453,
0.006502811796963215,
0.01799260638654232,
-0.027876881882548332,
0.012431582435965538,
-0.013454093597829342,
-0.006256153341382742,
-0.03063945472240448,
-0.004231312312185764,
0.03347378224134445,
0.0010645551374182105,
-0.0674857348203659,
-0.02375095896422863,
-0.0003996986779384315,
0.005637264810502529,
0.03259478136897087,
-0.04477522149682045,
-0.05169959366321564,
-0.0021268678829073906,
-0.014207522384822369,
-0.002040537539869547,
-0.006260638125240803,
0.04631795734167099,
-0.059556785970926285,
0.014602175913751125,
-0.0035810312256217003,
-0.008449170738458633,
-0.031805478036403656,
0.00617991341277957,
0.00601397966966033,
0.024863164871931076,
-0.026979941874742508,
-0.0009126359946094453,
0.009588283486664295,
0.007166546769440174,
-0.06637352705001831,
-0.022405549883842468,
-0.0271413903683424,
0.05388812720775604,
-0.03623635694384575,
-0.01675483025610447,
-0.044452324509620667,
-0.005462361965328455,
0.018943363800644875,
-0.028110085055232048,
0.015687473118305206,
0.016109034419059753,
0.004094528965651989,
0.01118483580648899,
-0.021939141675829887,
-0.010117477737367153,
0.008619588799774647,
0.010216141119599342,
-0.04323248565196991,
-0.016539564356207848,
0.04918816313147545,
0.017624862492084503,
-0.010933693498373032,
0.04524163156747818,
0.010467284359037876,
0.0028971147257834673,
0.06396973133087158,
0.035339418798685074,
0.012368796393275261,
-0.053493473678827286,
0.03788672760128975,
0.02945549413561821,
-0.0065700821578502655,
0.037814971059560776,
0.019714731723070145,
0.005628295708447695,
0.014064012095332146,
-0.051233187317848206,
-0.023876531049609184,
0.024737592786550522,
0.007242786698043346,
0.08302072435617447,
0.014153705909848213,
-0.0021773206535726786,
-0.007615016773343086,
-0.04312485456466675,
0.024916980415582657,
-0.001808454398997128,
0.008915578946471214,
-0.013633481226861477,
0.007139638997614384,
0.01912275142967701,
-0.013750082813203335,
0.010099539533257484,
0.036774519830942154,
-0.0032940104138106108,
0.017705585807561874,
0.013866685330867767,
0.005224673077464104,
-0.023625386878848076,
-0.07006891816854477,
-0.04118746519088745,
-0.022477304562926292,
0.006857102736830711,
-0.04240730032324791,
0.02380477637052536,
0.031590212136507034,
-0.006677715107798576,
-0.003910656552761793,
0.030765026807785034,
-0.04212028160691261,
-0.004610269330441952,
0.04581567272543907,
0.028971146792173386,
0.0027693009469658136,
-0.006605959963053465,
-0.002760331379249692,
-0.03573407232761383,
-0.015543961897492409,
0.02457614429295063,
0.026441777125000954,
-0.002073051407933235,
-0.0661223828792572,
-0.04861412197351456,
-0.02380477637052536,
-0.005399575922638178,
-0.03257684409618378,
0.02518606185913086,
0.05464155599474907,
-0.0037155719473958015,
-0.0055116936564445496,
-0.02626238949596882,
-0.017185362055897713,
0.0385683998465538,
-0.00006720039527863264,
-0.03645162284374237,
0.035195909440517426,
0.016207696869969368,
0.008588195778429508,
-0.006296515464782715,
0.016135942190885544,
-0.01917656697332859,
-0.02513224631547928,
0.036074910312891006,
-0.04961869493126869,
-0.0034689137246459723,
0.02323073334991932,
0.025742165744304657,
0.0429813414812088,
-0.023517753928899765,
-0.01647678017616272,
-0.0038456283509731293,
-0.003621393349021673,
-0.029419617727398872,
0.012270133011043072,
0.01763383112847805,
0.04036227986216545,
0.016153881326317787,
-0.04301721975207329,
0.025634532794356346,
0.020988386124372482,
0.029276106506586075,
0.029599005356431007,
0.008027608506381512,
0.013750082813203335,
-0.029114658012986183,
-0.01444969605654478,
0.03517796844244003,
-0.016458841040730476,
-0.025114307180047035,
0.010081600397825241,
0.02931198477745056,
-0.05525147542357445,
-0.0035339416936039925,
0.016566473990678787,
0.009722824208438396,
0.04075693339109421,
-0.008659951388835907,
-0.005803199019283056,
-0.003778357757255435,
-0.03228982537984848,
0.009103936143219471,
0.06683993339538574,
0.024504387751221657,
0.005798714235424995,
-0.026459716260433197,
-0.010673580691218376,
0.009417865425348282,
0.07032006233930588,
-0.0015606748638674617,
0.006498327013105154,
0.03171578049659729,
-0.02251318283379078,
0.05453392490744591,
-0.028809698298573494,
-0.05733237415552139,
0.04807595908641815,
0.0111579280346632,
0.05306294187903404,
-0.016898341476917267,
-0.004906259477138519,
-0.01705978997051716,
-0.006964735686779022,
-0.01555293146520853,
0.023517753928899765,
0.05134081840515137,
-0.02405591867864132,
-0.02807420864701271,
0.0032693445682525635,
0.04549277201294899,
-0.03562643751502037,
-0.007704710587859154,
0.024396754801273346,
0.01708669774234295,
0.06271401047706604,
0.020593732595443726,
-0.02837916649878025,
-0.04402179270982742,
0.0305856391787529,
0.006108158268034458,
-0.0012747753644362092,
0.018638404086232185,
0.029329923912882805,
0.02441469393670559,
-0.05901862308382988,
-0.003951018676161766,
-0.016405023634433746,
-0.02735665626823902,
-0.026818491518497467,
-0.00011940507829422131,
-0.0026280328165739775,
0.027518104761838913,
-0.009570345282554626,
-0.036326050758361816,
0.0004305309848859906,
-0.04509811848402023,
0.005278489086776972,
-0.0181899331510067,
0.006767408922314644,
0.03490888699889183,
0.02154448814690113,
-0.025867735967040062,
-0.02771543152630329,
0.05733237415552139,
-0.045313384383916855,
-0.01948152668774128,
-0.0219032634049654,
-0.012763449922204018,
-0.019571220502257347,
0.07193455100059509,
-0.003076502587646246,
0.008310144767165184,
-0.011148958466947079,
-0.017373718321323395,
0.025939492508769035,
-0.007444598246365786,
-0.01125659141689539,
-0.00836396124213934,
0.029778392985463142,
0.02843298390507698,
0.03871190920472145,
-0.021921202540397644,
-0.008749645203351974,
-0.01697009615600109,
0.043268363922834396,
-0.0014866773271933198,
0.007857190445065498,
0.02945549413561821,
-0.02005556784570217,
-0.05403163656592369,
0.02898908592760563,
0.04847061261534691,
-0.02488110214471817,
0.0003946534125134349,
-0.01223425567150116,
0.05403163656592369,
-0.06400560587644577,
-0.021723875775933266,
0.003287283470854163,
0.02380477637052536,
-0.013454093597829342,
-0.036110784858465195,
0.008426747284829617,
-0.006946796551346779,
-0.044954609125852585,
0.01766073890030384,
-0.026513533666729927,
0.03350966051220894,
0.0022131982259452343,
0.0515202060341835,
0.004749294836074114,
-0.020378466695547104,
0.020575793460011482,
0.008794492110610008,
-0.003314191708341241,
0.0950755923986435,
-0.019463587552309036,
0.02658528834581375,
0.011032355949282646,
-0.08804358541965485,
0.02349981665611267,
0.021580364555120468,
-0.01871015876531601,
0.0018611495615914464,
-0.03535735607147217,
-0.013525848276913166,
0.044237058609724045,
-0.007126184646040201,
0.023625386878848076,
0.007754042278975248,
-0.010897815227508545,
-0.026459716260433197,
0.009920150972902775,
0.02482728660106659,
-0.02344599924981594,
0.03584170341491699,
-0.03245127201080322,
0.07620398700237274,
-0.03731268644332886,
0.007525322958827019,
0.013400277122855186,
-0.02220822311937809,
0.004578876309096813,
-0.04832710325717926,
0.005915316287428141,
0.002719969255849719,
0.022244101390242577,
0.026872308924794197,
0.019678853452205658,
-0.06174531951546669,
0.019409772008657455,
-0.014001226052641869,
-0.015382513403892517,
0.01953534409403801,
-0.00470444792881608,
-0.0010118599748238921,
-0.025311633944511414,
-0.034675683826208115,
0.027948636561632156,
0.056578945368528366,
-0.06978189945220947,
-0.02400210127234459,
-0.011202774941921234,
0.010377590544521809,
-0.035608500242233276,
0.03867603465914726,
-0.007498414721339941,
0.00645348010584712,
0.0037626614794135094,
-0.022226162254810333,
0.015023737214505672,
-0.010548008605837822,
-0.007592593319714069,
0.019571220502257347,
0.008135241456329823,
-0.0004627647576853633,
0.008543348871171474,
-0.016234606504440308,
0.01958915963768959,
0.0267287977039814,
-0.03367111086845398,
0.021365100517868996,
0.02925816737115383,
0.0031101377680897713,
-0.05295531079173088,
-0.013247797265648842,
-0.004578876309096813,
0.013615542091429234,
0.011265560984611511,
-0.05901862308382988,
0.013301613740622997,
-0.028397105634212494,
-0.002201986499130726,
0.013400277122855186,
-0.004978014621883631,
0.004686509259045124,
0.013785961084067822,
-0.017445474863052368,
0.010449346154928207,
-0.0190151184797287,
0.041617993265390396,
0.01169609185308218,
-0.004946621600538492,
0.005529632326215506,
0.06425675004720688,
0.004469001200050116,
-0.032200127840042114,
-0.03315088525414467,
-0.0245223268866539,
-0.023356305435299873,
-0.05119730904698372,
-0.03139288350939751,
0.043160729110240936,
-0.02339218370616436,
0.04158211871981621,
0.027536043897271156,
0.021526549011468887,
0.059664417058229446,
0.0020853844471275806,
-0.054462168365716934,
0.035447049885988235,
-0.008973879739642143,
0.04046991094946861,
-0.02843298390507698,
-0.02385859191417694,
0.004731356166303158,
-0.0062202755361795425,
0.0035586075391620398,
-0.04438056796789169,
0.019104812294244766,
0.00867789052426815,
0.03455011174082756,
-0.027464289218187332,
-0.029240228235721588,
-0.016620289534330368,
-0.03232569992542267,
0.027464289218187332,
-0.024378817528486252,
0.022746386006474495,
-0.02319485694169998,
-0.0011385526740923524,
0.0015079795848578215,
-0.025562776252627373,
-0.0023073770571500063,
-0.018781913444399834,
-0.008951456286013126,
0.018889546394348145,
0.0253475122153759,
-0.012530245818197727,
0.04782481491565704,
0.028038330376148224,
0.005830107256770134,
-0.00580768333747983,
0.01716742292046547,
-0.016413994133472443,
-0.02730283886194229,
0.04082868620753288,
-0.04595918208360672,
-0.0449187308549881,
0.02358951047062874,
0.015149309299886227,
0.0016907310346141458,
-0.005561025347560644,
0.009812518954277039,
0.017588984221220016,
0.014431756921112537,
0.00920259952545166,
-0.0454568974673748,
-0.02956312708556652,
-0.003262617625296116,
0.0169431883841753,
-0.010081600397825241,
-0.007435628678649664,
0.005399575922638178,
-0.01851283200085163,
-0.03191310912370682,
0.011418040841817856,
0.07075059413909912,
-0.03245127201080322,
0.01270066387951374,
0.014046072959899902,
0.028163902461528778,
-0.05887511000037193,
0.029957780614495277,
-0.03964472934603691,
0.036774519830942154,
0.0046371775679290295,
-0.0196967925876379,
0.038173746317625046,
-0.03160814940929413,
0.04391416162252426,
0.029473433271050453,
-0.007314541842788458,
0.03089059703052044,
-0.02143685519695282,
-0.03942946344614029,
0.004473485983908176,
-0.005879438482224941,
0.02030671201646328,
-0.007951369509100914,
-0.011974142864346504,
0.004410700406879187,
-0.015902739018201828,
-0.057906415313482285,
-0.005296428222209215,
-0.04057754576206207,
-0.022656692191958427,
-0.026190634816884995,
0.02287195809185505,
0.03397607058286667,
-0.00732799619436264,
0.02477347105741501,
0.027751309797167778,
-0.017956729978322983,
0.0017680920427665114,
0.021400976926088333,
0.02730283886194229,
0.007973792962729931,
-0.044703468680381775,
0.005857015028595924,
0.0405057892203331,
-0.024558205157518387,
-0.027069635689258575,
-0.0304421279579401,
0.0293478611856699,
0.012897990643978119,
0.041151586920022964,
0.0003130879485979676,
-0.024916980415582657,
-0.07749557495117188,
0.028450923040509224,
-0.01018026378005743,
-0.02863031066954136,
0.010852968320250511,
0.021813569590449333,
-0.019409772008657455,
0.0372050516307354,
0.012745510786771774,
-0.021759754046797752,
-0.03038831241428852,
-0.01565159484744072,
-0.029078779742121696,
-0.007502899505198002,
-0.025329573079943657,
0.006426571868360043,
0.06386209279298782,
-0.030208922922611237,
0.0275539830327034,
0.0023858591448515654,
-0.022190283983945847,
0.006314454600214958,
-0.006969220470637083,
-0.02518606185913086,
-0.013579664751887321,
-0.04323248565196991,
-0.03706154227256775,
-0.034514233469963074,
0.023625386878848076,
-0.026136817410588264,
-0.043411873281002045,
0.013929471373558044,
0.027518104761838913,
0.007821313105523586,
0.026334144175052643,
0.005359213799238205,
-0.029581066220998764,
-0.006341362372040749,
-0.010637703351676464,
0.033850498497486115,
0.02297959104180336,
0.0347115620970726,
0.060274336487054825,
-0.0013207434676587582,
-0.015409421175718307,
0.035231783986091614,
0.008103848434984684,
0.0001746229245327413,
0.010359651409089565,
-0.03331233561038971,
0.037097420543432236,
0.002243469934910536,
0.0008571378421038389,
0.007987246848642826,
-0.03139288350939751,
-0.04107983037829399,
-0.008655466139316559,
-0.008130757138133049,
0.043878283351659775,
-0.054677434265613556
] |
As automated decision making and decision assistance systems become common in
everyday life, research on the prevention or mitigation of potential harms that
arise from decisions made by these systems has proliferated. However, various
research communities have independently conceptualized these harms, envisioned
potential applications, and proposed interventions. The result is a somewhat
fractured landscape of literature focused generally on ensuring decision-making
algorithms "do the right thing". In this paper, we compare and discuss work
across two major subsets of this literature: algorithmic fairness, which
focuses primarily on predictive systems, and ethical decision making, which
focuses primarily on sequential decision making and planning. We explore how
each of these settings has articulated its normative concerns, the viability of
different techniques for these different settings, and how ideas from each
setting may have utility for the other. | [
0.004379617050290108,
0.00012238239287398756,
-0.03604467585682869,
-0.017221543937921524,
0.015520984306931496,
0.023465927690267563,
-0.06877820193767548,
-0.003884744830429554,
-0.03858201578259468,
-0.026219217106699944,
0.02208028733730316,
0.0004706907202489674,
0.012029887177050114,
-0.009555527940392494,
-0.054453909397125244,
0.020244762301445007,
0.022854086011648178,
0.01158900186419487,
0.03084401972591877,
-0.06802240014076233,
-0.032661549746990204,
0.023627886548638344,
-0.024977536872029305,
0.03994966298341751,
-0.018022337928414345,
0.031671807169914246,
-0.009038161486387253,
-0.0324815958738327,
-0.053518153727054596,
0.008498300798237324,
0.01905706897377968,
0.009897438809275627,
-0.018130309879779816,
-0.04513232409954071,
-0.013874410651624203,
-0.0015802161069586873,
-0.015646951273083687,
0.008691751398146152,
0.026417164131999016,
0.07367293536663055,
0.0025103504303842783,
0.04484439641237259,
-0.026075253263115883,
0.022422198206186295,
-0.020280752331018448,
0.010545271448791027,
-0.03710639849305153,
-0.03258956968784332,
0.01939898170530796,
-0.01423431746661663,
0.00961851142346859,
-0.04991908371448517,
0.051034796983003616,
-0.017662430182099342,
-0.036638520658016205,
0.016600705683231354,
0.034245140850543976,
-0.048119548708200455,
0.039157867431640625,
0.049559175968170166,
-0.03334537148475647,
0.02441968210041523,
-0.027568867430090904,
-0.03581073507666588,
0.006595293525606394,
-0.03064607083797455,
-0.03213968500494957,
0.0066222865134477615,
0.03235562890768051,
0.0034865979105234146,
-0.06874221563339233,
0.0232319887727499,
-0.027388913556933403,
0.019704902544617653,
-0.03098798170685768,
-0.013541496358811855,
0.03215767815709114,
0.003313392633572221,
-0.0050926823168993,
-0.005978953093290329,
0.022638142108917236,
0.03321940451860428,
-0.0360986590385437,
-0.00855228677392006,
0.07615629583597183,
-0.03750229626893997,
0.025175485759973526,
-0.0796113982796669,
0.027910778298974037,
-0.06028440222144127,
-0.030304159969091415,
-0.0020750882104039192,
-0.009402567520737648,
-0.011921915225684643,
-0.006995690055191517,
-0.030232178047299385,
0.008309350349009037,
-0.019776882603764534,
0.0019974831957370043,
0.006374850403517485,
0.0037632763851433992,
-0.006887718103826046,
0.0000991149790934287,
0.01283967774361372,
0.002688054461032152,
-0.03998565301299095,
-0.05179059877991676,
0.023573901504278183,
0.010446297004818916,
0.13561290502548218,
0.0057135215029120445,
0.03483898565173149,
-0.055821556597948074,
-0.035468824207782745,
-0.05434593930840492,
-0.0022932817228138447,
-0.06395545601844788,
-0.09501541405916214,
0.04214509576559067,
-0.013946391642093658,
-0.02684905380010605,
0.05161064490675926,
0.05668533220887184,
0.009582520462572575,
-0.014540238305926323,
0.036440569907426834,
-0.01095016673207283,
-0.00960951391607523,
-0.008660259656608105,
0.019758887588977814,
0.003124441485852003,
0.020838608965277672,
-0.014369281940162182,
0.018166299909353256,
0.0763002559542656,
0.016978606581687927,
0.04736374691128731,
0.06604291498661041,
-0.029332410544157028,
-0.0014969876501709223,
0.011777952313423157,
-0.03710639849305153,
-0.0737089291214943,
0.013523501344025135,
-0.015808910131454468,
-0.06050034612417221,
-0.008030422031879425,
0.06661876291036606,
-0.054597873240709305,
0.021558422595262527,
-0.03683646768331528,
0.02706499770283699,
0.007103662006556988,
0.004881237167865038,
0.07270119339227676,
-0.006145409774035215,
-0.0008418447105214,
-0.0335073322057724,
0.005834990181028843,
0.00437061907723546,
0.04408859461545944,
-0.031491853296756744,
-0.029332410544157028,
0.09710287302732468,
0.0618320032954216,
0.035126909613609314,
0.007495060563087463,
0.004577565472573042,
-0.053482163697481155,
0.05265437811613083,
-0.03426313400268555,
-0.009114641696214676,
-0.056145474314689636,
0.045672181993722916,
0.001671317615546286,
0.010995155200362206,
0.0388699434697628,
0.055821556597948074,
-0.03492896258831024,
0.006698766723275185,
-0.055785566568374634,
0.018517209216952324,
0.010572264902293682,
-0.01291165966540575,
0.025157490745186806,
0.039121877402067184,
0.049667149782180786,
-0.006383848376572132,
0.045456238090991974,
0.01680765114724636,
-0.0011241466272622347,
-0.007558044511824846,
0.013325552456080914,
-0.007630025967955589,
0.025337444618344307,
-0.07795582711696625,
-0.044268544763326645,
-0.09084049612283707,
-0.01936298981308937,
0.005974454339593649,
-0.005173661280423403,
-0.03343534842133522,
0.025463411584496498,
0.016447745263576508,
0.014666205272078514,
0.003992716781795025,
0.018967092037200928,
-0.06197596341371536,
-0.024797584861516953,
-0.03836607187986374,
-0.01274970080703497,
-0.017086578533053398,
0.022386208176612854,
-0.012056880630552769,
-0.06413540244102478,
-0.016330774873495102,
-0.00961851142346859,
0.0486954003572464,
-0.04120933637022972,
-0.022422198206186295,
0.04243301972746849,
0.016177814453840256,
0.002449616091325879,
0.025301452726125717,
0.04873139038681984,
0.011822940781712532,
0.01294764969497919,
-0.009447555989027023,
-0.054777827113866806,
0.006379349622875452,
-0.003794768126681447,
-0.0285046249628067,
0.01103114616125822,
0.007175643462687731,
0.020172780379652977,
0.018607186153531075,
-0.03066406585276127,
-0.0020660904701799154,
-0.015925878658890724,
-0.006973195821046829,
-0.022098282352089882,
-0.06949801743030548,
0.023483924567699432,
-0.007468067575246096,
0.06849028170108795,
0.008610771968960762,
-0.025247467681765556,
0.05499377101659775,
-0.012506764382123947,
0.06068029999732971,
-0.03249959275126457,
0.03962574899196625,
-0.05542565882205963,
0.004930724389851093,
-0.000506119045894593,
0.04473642632365227,
0.019902849569916725,
0.01339753344655037,
0.02456364408135414,
-0.05765708163380623,
0.07154949009418488,
-0.004388614557683468,
0.05236645042896271,
0.031599823385477066,
0.010410306043922901,
0.010113383643329144,
0.049595169723033905,
0.011957906186580658,
0.02161240763962269,
-0.003976970911026001,
-0.020874598994851112,
-0.013856414705514908,
-0.01593487709760666,
-0.008673755452036858,
0.0023191499058157206,
-0.010068395175039768,
0.04865941032767296,
0.00964550394564867,
0.0381501279771328,
0.013217580504715443,
-0.012020889669656754,
-0.023861825466156006,
0.03251758590340614,
-0.0331474244594574,
-0.05017101764678955,
-0.03725036233663559,
0.011948908679187298,
-0.040453534573316574,
-0.09264002740383148,
-0.014549235813319683,
0.008138393983244896,
-0.019614925608038902,
-0.006788743659853935,
0.008457811549305916,
0.04621204361319542,
0.004557320848107338,
0.02713697962462902,
-0.02557138353586197,
-0.02458163909614086,
-0.02560737356543541,
-0.004114185459911823,
-0.036566540598869324,
0.042828917503356934,
0.05294230207800865,
-0.00013587890134658664,
0.008669257164001465,
0.03190574422478676,
0.04372868686914444,
-0.038006167858839035,
0.021306486800312996,
0.002194307278841734,
0.013622475787997246,
0.022476185113191605,
-0.030160196125507355,
0.030412131920456886,
0.048047568649053574,
0.013046624138951302,
-0.008637765422463417,
-0.011148115620017052,
-0.03746630623936653,
0.018166299909353256,
-0.04398062080144882,
-0.10235751420259476,
-0.001681439927779138,
-0.052258480340242386,
0.002501352922990918,
-0.03105996362864971,
0.017725413665175438,
-0.03195973113179207,
-0.011912917718291283,
-0.08486603945493698,
0.052258480340242386,
0.010662240907549858,
-0.03779022395610809,
-0.01936298981308937,
0.0005530756316147745,
-0.022422198206186295,
0.02936840057373047,
0.022548165172338486,
-0.09278399497270584,
-0.0018107815412804484,
0.02422173321247101,
-0.04200113192200661,
-0.020874598994851112,
-0.002800525398924947,
-0.03692644461989403,
-0.003128940472379327,
0.019686905667185783,
-0.008426319807767868,
-0.011705971322953701,
0.001001553377136588,
-0.021432453766465187,
-0.005065689329057932,
0.009564525447785854,
0.03683646768331528,
-0.011193104088306427,
-0.030466116964817047,
-0.03901390731334686,
0.051970552653074265,
-0.019668910652399063,
0.03338136151432991,
-0.05283432826399803,
-0.00674825394526124,
-0.0055965520441532135,
-0.04257698357105255,
0.002026725560426712,
-0.02834266610443592,
0.05096281319856644,
-0.04448448866605759,
-0.013703454285860062,
-0.09019266068935394,
0.039085887372493744,
0.008106902241706848,
-0.043152835220098495,
-0.01930900476872921,
0.006649279501289129,
0.017311520874500275,
-0.026003271341323853,
-0.06381148844957352,
0.0331474244594574,
-0.03334537148475647,
0.003619313472881913,
0.0017916614888235927,
0.0077290004119277,
-0.08025923371315002,
0.01027534157037735,
0.05143069475889206,
0.021360473707318306,
0.017329515889286995,
0.02182835154235363,
0.03204970806837082,
-0.02298005484044552,
0.02809073217213154,
-0.020964575931429863,
0.006649279501289129,
-0.010653243400156498,
-0.001693811733275652,
-0.053194236010313034,
0.0285046249628067,
-0.0072701191529631615,
0.01481916569173336,
-0.009465551003813744,
-0.025175485759973526,
0.019902849569916725,
0.0167536661028862,
0.004089442081749439,
-0.013649468310177326,
-0.03111395053565502,
0.01625879295170307,
0.04106537625193596,
-0.009173126891255379,
0.022584157064557076,
0.02836066298186779,
0.03228364884853363,
-0.01225482951849699,
-0.012704713270068169,
-0.0077874851413071156,
0.050710879266262054,
0.03743031620979309,
-0.07162147015333176,
-0.06974995136260986,
0.032859496772289276,
0.06766249239444733,
-0.018517209216952324,
0.011975901201367378,
-0.02332196570932865,
-0.01932699978351593,
-0.06075228005647659,
-0.0018827628809958696,
-0.028054742142558098,
0.03203171119093895,
0.014603221789002419,
-0.007360095623880625,
-0.059600580483675,
0.01598886400461197,
0.029206443578004837,
-0.013118606060743332,
0.01539501640945673,
-0.0017579201376065612,
0.008268860168755054,
0.021450450643897057,
-0.004222157411277294,
-0.05657736212015152,
0.05420197546482086,
-0.058376897126436234,
-0.03622462600469589,
-0.024149751290678978,
-0.046787895262241364,
-0.0566493421792984,
-0.0414612740278244,
-0.062191907316446304,
0.010023406706750393,
-0.09803863614797592,
-0.027352923527359962,
0.06445932388305664,
-0.023447932675480843,
0.050890833139419556,
-0.06294771283864975,
0.0486954003572464,
-0.0362786129117012,
0.02333996072411537,
0.08796124160289764,
0.030394136905670166,
-0.01812131144106388,
0.010995155200362206,
0.009780469350516796,
-0.07572440803050995,
-0.02697502076625824,
0.008448814041912556,
0.020010823383927345,
-0.02692103385925293,
-0.01840023882687092,
-0.009780469350516796,
-0.03080802969634533,
-0.018256276845932007,
-0.0013147848658263683,
0.0488753542304039,
-0.015718933194875717,
-0.00796743854880333,
-0.02810872718691826,
0.05754911154508591,
0.06748253852128983,
0.003776772879064083,
-0.007850469090044498,
-0.006973195821046829,
0.034065186977386475,
0.08097904920578003,
-0.008768231607973576,
-0.013712451793253422,
-0.05377008765935898,
-0.003617064096033573,
-0.02816271409392357,
-0.007603032980114222,
-0.03757428005337715,
-0.004467344377189875,
0.026309192180633545,
-0.016942616552114487,
-0.00337412697263062,
0.002098707016557455,
0.013937394134700298,
0.013100610114634037,
0.01616881601512432,
-0.005349115934222937,
0.00741858035326004,
0.013082615099847317,
-0.0019007582450285554,
-0.030484111979603767,
0.022422198206186295,
0.01405436359345913,
0.007153149228543043,
0.037970174103975296,
0.009744478389620781,
-0.006019442342221737,
-0.0411013662815094,
0.007890958338975906,
0.009249607101082802,
0.036638520658016205,
-0.03257157281041145,
0.017779400572180748,
0.006824734155088663,
0.016015855595469475,
-0.0542379654943943,
0.022494180127978325,
0.05430994927883148,
-0.06006845831871033,
0.03079003281891346,
0.03446108475327492,
-0.0179593525826931,
-0.02333996072411537,
-0.004264896735548973,
-0.0028320173732936382,
0.04117334634065628,
-0.0219363234937191,
-0.07457270473241806,
0.027334926649928093,
-0.026615113019943237,
0.05776505544781685,
0.007971937768161297,
0.004039954859763384,
-0.005277134478092194,
-0.05920468270778656,
0.05247442424297333,
0.04927125200629234,
-0.010644245892763138,
-0.01788737252354622,
0.03962574899196625,
0.04995507374405861,
-0.017950356006622314,
0.0028162712696939707,
0.0015262301312759519,
-0.01664569228887558,
-0.025337444618344307,
-0.02711898274719715,
-0.008471308276057243,
-0.02558937855064869,
-0.03552280738949776,
-0.015610961243510246,
0.027748821303248405,
-0.006973195821046829,
-0.009834455326199532,
-0.002288782736286521,
-0.00838583055883646,
0.010887183248996735,
0.010257345624268055,
0.0017005599802359939,
-0.030430126935243607,
-0.0008013551705516875,
0.07428477704524994,
-0.011058138683438301,
0.014099352061748505,
-0.016285786405205727,
-0.032967470586299896,
-0.029872270300984383,
-0.03710639849305153,
-0.05121474713087082,
0.029926257207989693,
0.006788743659853935,
-0.03568476811051369,
-0.03717838227748871,
-0.052042536437511444,
-0.005205153021961451,
0.020874598994851112,
0.02458163909614086,
0.005938463378697634,
-0.000025270805053878576,
0.02717296965420246,
0.004096189979463816,
-0.01680765114724636,
0.024725602939724922,
-0.006698766723275185,
-0.00906065572053194,
0.024833574891090393,
-0.01783338561654091,
0.002006480935961008,
-0.022818095982074738,
0.012992638163268566,
0.03825810179114342,
0.004750770982354879,
0.010401308536529541,
-0.038977913558483124,
0.04416057467460632,
-0.0034033693373203278,
0.05560561269521713,
0.04916327819228172,
0.009483546018600464,
-0.0071981376968324184,
-0.0007411832339130342,
0.025373434647917747,
-0.006167904008179903,
-0.009555527940392494,
0.013433524407446384,
-0.030376140028238297,
0.008511797524988651,
-0.023969797417521477,
0.000025692570488899946,
-0.02960234135389328,
0.05672132596373558,
0.02715497463941574,
-0.009987415745854378,
0.018202289938926697,
-0.03370527923107147,
-0.0385100357234478,
0.04653596132993698,
0.04786761477589607,
0.004064698237925768,
0.04783162474632263,
0.015502989292144775,
-0.013163594529032707,
0.006811237893998623,
-0.020262757316231728,
-0.029296420514583588,
0.019039073958992958,
-0.022872082889080048,
0.024761592969298363,
0.009402567520737648,
-0.021126532927155495,
0.03779022395610809,
0.04376467689871788,
0.0464639775454998,
-0.04491638019680977,
-0.050746869295835495,
-0.004073696210980415,
0.00518265925347805,
0.0696059912443161,
0.007337601389735937,
0.06733857840299606,
0.02549940161406994,
-0.0386899895966053,
0.019704902544617653,
-0.002120076445862651,
-0.020874598994851112,
0.009978418238461018,
0.013883408159017563,
0.04984710365533829,
0.018058327957987785,
-0.015161077491939068,
-0.005295129958540201,
-0.008210375905036926,
0.025427421554923058,
0.034173157066106796,
-0.01673566922545433,
0.04254099354147911,
0.007207135204225779,
0.018625181168317795,
0.004051201976835728,
0.02461763098835945,
0.02316000685095787,
0.02555338852107525,
0.038977913558483124,
0.04639199748635292,
-0.02422173321247101,
-0.019830869510769844,
-0.0464639775454998,
0.01817529834806919,
0.02191832847893238,
-0.003898241324350238,
0.00019598053768277168,
0.06849028170108795,
-0.004064698237925768,
-0.015799911692738533,
0.00370704079978168,
-0.02843264304101467,
-0.0298002902418375,
0.00829585362225771,
-0.027532875537872314,
0.0121738500893116,
-0.0008373458404093981,
0.005259139463305473,
0.007823475636541843,
-0.013640470802783966,
-0.017068583518266678,
0.011211099103093147,
-0.022638142108917236,
0.007899955846369267,
0.032841503620147705,
-0.0045753163285553455,
0.01537702139467001,
-0.01536802388727665,
-0.03480299562215805,
-0.019488956779241562,
0.00551557308062911,
-0.026309192180633545,
-0.013820423744618893,
0.031437866389751434,
-0.025445416569709778,
0.022260241210460663,
0.0024788586888462305,
0.0035810733679682016,
-0.008358837105333805,
-0.014864154160022736,
-0.018625181168317795,
-0.02199031040072441,
-0.009843452833592892,
0.03883395344018936,
0.04135330021381378,
0.025517398491501808,
0.04891134425997734,
0.0028252690099179745,
-0.00893468875437975,
-0.017149562016129494,
-0.022134272381663322,
-0.013172592036426067,
-0.03458705171942711,
-0.03707040846347809,
-0.010815201327204704,
0.017770402133464813,
-0.005592053290456533,
0.0006630159332416952,
-0.02839665301144123,
-0.0020705892238765955,
0.03228364884853363,
0.02064066007733345,
0.005070188082754612,
0.001936748856678605,
0.007544547785073519,
-0.0019682408310472965,
0.008592776954174042,
0.011292078532278538,
-0.008759234100580215,
-0.01293865218758583,
-0.005538067314773798,
-0.036782484501600266,
0.0046158055774867535,
-0.019848864525556564,
-0.006820235401391983,
-0.003985968884080648,
0.04124533012509346,
0.015044108033180237,
-0.023447932675480843,
0.02960234135389328,
0.03483898565173149,
-0.030376140028238297,
0.04380066692829132,
-0.023735858500003815,
0.009852451272308826,
-0.015538979321718216,
0.01417133305221796,
0.000017362695871270262,
0.009672497399151325,
-0.017716415226459503,
-0.03642257675528526,
0.030214183032512665,
0.004701283760368824,
0.008097904734313488,
0.028792550787329674,
-0.022332221269607544,
-0.05006304755806923,
0.0023191499058157206,
-0.005286132451146841,
0.007877461612224579,
0.015772918239235878,
-0.004393113311380148,
0.02690303884446621,
-0.02308802679181099,
0.013676461763679981,
-0.019740892574191093,
0.011157113127410412,
-0.04153325408697128,
-0.018499214202165604,
0.053302209824323654,
-0.008246365934610367,
0.04268495738506317,
-0.03840206563472748,
0.006595293525606394,
-0.01733851432800293,
-0.003362879855558276,
0.02456364408135414,
-0.0345330648124218,
0.0075985342264175415,
0.017626440152525902,
-0.004181668162345886,
-0.0046158055774867535,
-0.0321216881275177,
-0.00036356219789013267,
0.003059208393096924,
-0.05020701140165329,
-0.03638658672571182,
0.012488768436014652,
-0.002361888997256756,
-0.030376140028238297,
0.053338199853897095,
-0.01936298981308937,
0.026579122990369797,
-0.005349115934222937,
-0.0007726750918664038,
-0.04729176312685013,
-0.034227143973112106,
-0.0010859065223485231,
0.026345184072852135,
0.020784622058272362,
0.01776140369474888,
0.07039778679609299,
-0.006397344637662172,
-0.017545459792017937,
-0.0013327801134437323,
-0.004156924318522215,
-0.023951802402734756,
0.03861800953745842,
0.0013788932701572776,
-0.027532875537872314,
-0.0013136600609868765,
-0.010905178263783455,
-0.008160888217389584,
-0.004885735921561718,
-0.02312401682138443,
0.0023169005289673805,
0.000587098125834018,
-0.023645881563425064,
0.041713207960128784,
-0.028720568865537643,
0.05621745437383652,
0.044340528547763824,
-0.03098798170685768,
-0.03779022395610809,
-0.020172780379652977,
0.054417919367551804,
-0.008444314822554588,
-0.022494180127978325,
0.0022235496435314417,
0.031527843326330185,
-0.013748442754149437,
-0.006167904008179903,
-0.00010530088184168562,
-0.009191121906042099,
-0.0008294729050248861,
0.006950701586902142,
-0.008975178003311157,
0.009258604608476162,
0.0323016420006752,
-0.018535204231739044,
0.03843805566430092,
-0.007207135204225779,
0.013280563987791538,
-0.01728452742099762,
-0.005897974129766226,
0.002789278281852603,
0.0614720955491066,
0.01274070329964161,
-0.04095740243792534,
-0.029908262193202972,
-0.01735650934278965,
0.010824199765920639,
-0.024653621017932892,
-0.02978229522705078,
0.012785691767930984,
-0.045636191964149475,
0.011957906186580658,
-0.043116845190525055,
0.0072746179066598415,
-0.054741837084293365,
-0.0020312245469540358,
0.06341559439897537,
0.010104385204613209,
0.012902661226689816,
-0.02803674526512623,
0.02962033636868,
0.03948178514838219,
-0.013028629124164581,
0.0004358247388154268,
0.01921902783215046,
0.007288114167749882,
0.04498836025595665,
0.020010823383927345,
-0.021666394546628,
0.02594928629696369,
-0.04250500351190567,
0.0034101177006959915,
-0.017662430182099342,
0.009393570013344288,
-0.05657736212015152,
-0.015152079984545708,
0.04919927194714546,
-0.033993203192949295,
-0.0012034386163577437,
0.06154407560825348,
-0.0003703104448504746,
-0.014846159145236015,
-0.030394136905670166,
-0.011966903693974018,
-0.014081357046961784,
0.003025467274710536,
-0.000024708449927857146,
-0.03341735526919365,
0.01737450435757637,
0.02566136047244072,
0.0063658528961241245,
-0.00035568923340179026,
0.031293902546167374,
0.0409214124083519,
-0.01150802243500948,
0.0024091266095638275,
-0.04779563471674919,
-0.0012855423847213387,
-0.020262757316231728,
0.013847417198121548,
0.0011651985114440322,
-0.03696243837475777,
-0.0008907695300877094,
-0.011301076039671898,
0.0030974484980106354,
0.0232319887727499,
0.0030434625223279,
-0.037862204015254974,
0.02555338852107525,
0.0016904376680031419,
0.0026003271341323853,
-0.024851569905877113,
0.0115260174497962,
-0.0012461775913834572,
-0.015592965297400951,
-0.03498294949531555,
-0.007103662006556988,
0.004505584482103586,
-0.022440193220973015,
0.00642433762550354,
0.009321588091552258,
-0.008003429509699345,
0.05279833823442459,
-0.04084943234920502,
-0.03455106168985367,
-0.03703441843390465,
0.021522430703043938,
0.043332789093256,
0.0536981076002121,
0.06525111943483353,
-0.0012844176962971687,
0.02431171014904976,
-0.020820612087845802,
-0.026471151039004326,
0.04099339246749878,
-0.05125074088573456,
-0.013100610114634037,
0.02044271118938923,
-0.035450827330350876,
-0.006131913512945175,
0.011166110634803772,
-0.028558610007166862,
-0.035360850393772125,
-0.02303403988480568,
0.03442509472370148,
-0.004422355908900499,
-0.007445573806762695,
-0.006536808796226978,
-0.018229283392429352,
-0.025463411584496498,
0.007926949299871922,
-0.010671239346265793,
0.022656138986349106,
-0.08205876499414444,
0.019938841462135315,
0.01159799937158823,
-0.011912917718291283,
0.015808910131454468,
-0.014927137643098831,
-0.0298002902418375,
-0.008430819027125835,
0.02168438956141472,
0.014558233320713043,
-0.028774555772542953,
0.003954476676881313,
0.0440526008605957,
-0.04009362682700157,
-0.013415529392659664,
0.010500282980501652,
-0.029926257207989693,
-0.008489303290843964,
0.010401308536529541,
-0.010248348116874695,
-0.010239350609481335,
0.04398062080144882,
-0.004078194964677095,
-0.0031401875894516706,
0.009501541964709759,
-0.030286163091659546,
-0.009906437247991562,
0.016600705683231354,
0.029314415529370308,
-0.022692129015922546,
0.0324815958738327,
0.03937381133437157,
-0.02704700268805027,
0.017626440152525902,
0.01810331642627716,
0.031095953658223152,
0.025427421554923058,
0.004231155384331942,
0.018913106992840767,
0.0027217958122491837,
-0.020172780379652977,
0.03339935839176178,
0.03966173902153969,
-0.0041951644234359264,
0.02161240763962269,
0.03431712090969086,
0.002850012620911002,
0.02303403988480568,
-0.06402743607759476,
-0.04639199748635292,
0.008984175510704517,
-0.09307192265987396,
0.018787140026688576,
-0.0009486920316703618,
0.02548140659928322,
0.018697163090109825
] |
In AI-assisted decision-making, it is critical for human decision-makers to
know when to trust AI and when to trust themselves. However, prior studies
calibrated human trust only based on AI confidence indicating AI's correctness
likelihood (CL) but ignored humans' CL, hindering optimal team decision-making.
To mitigate this gap, we proposed to promote humans' appropriate trust based on
the CL of both sides at a task-instance level. We first modeled humans' CL by
approximating their decision-making models and computing their potential
performance in similar instances. We demonstrated the feasibility and
effectiveness of our model via two preliminary studies. Then, we proposed three
CL exploitation strategies to calibrate users' trust explicitly/implicitly in
the AI-assisted decision-making process. Results from a between-subjects
experiment (N=293) showed that our CL exploitation strategies promoted more
appropriate human trust in AI, compared with only using AI confidence. We
further provided practical implications for more human-compatible AI-assisted
decision-making. | [
0.002022326923906803,
-0.03499596193432808,
-0.04068514704704285,
-0.02896992117166519,
0.016216043382883072,
0.027659911662340164,
-0.011612297035753727,
0.023879598826169968,
-0.0036960977595299482,
0.014120029285550117,
0.002641072263941169,
-0.036755118519067764,
0.00916538666933775,
-0.0054926821030676365,
0.00532425194978714,
0.026761619374155998,
0.014325887896120548,
0.028371058404445648,
0.0015404305886477232,
-0.025825897231698036,
0.004086761269718409,
0.013820597901940346,
0.012145658023655415,
0.03319937735795975,
0.02745405212044716,
0.033012233674526215,
-0.010620432905852795,
-0.013062664307653904,
-0.11281051486730576,
0.0588381327688694,
0.02975592575967312,
0.013745740987360477,
-0.02481531910598278,
-0.04906920716166496,
-0.0019357727142050862,
-0.03432224318385124,
0.04042314365506172,
0.0240667425096035,
0.0023463203106075525,
0.05902527645230293,
-0.02620018646121025,
0.016702618449926376,
-0.006994514260441065,
-0.04147115349769592,
0.0015977434813976288,
-0.05865098908543587,
-0.05475838854908943,
-0.04184544086456299,
-0.013118807226419449,
-0.021577725186944008,
0.022326301783323288,
-0.020361287519335747,
0.08638575673103333,
0.009965428151190281,
-0.033124521374702454,
0.015121250413358212,
0.013240450993180275,
-0.030598074197769165,
0.04993006959557533,
-0.016730690374970436,
0.011247365735471249,
0.05853870138525963,
-0.06224415823817253,
0.01793777011334896,
-0.01807812787592411,
-0.03892599046230316,
0.06692276149988174,
0.02146543748676777,
0.0008023807313293219,
-0.01611311547458172,
-0.025002462789416313,
0.023860884830355644,
0.0016924852970987558,
-0.05969899520277977,
-0.014091957360506058,
0.006536010652780533,
0.05887556076049805,
0.024141600355505943,
-0.02182101272046566,
0.03709197789430618,
0.04289344698190689,
0.017750626429915428,
-0.05082836002111435,
0.021278293803334236,
0.044016312807798386,
0.025994326919317245,
0.008486988954246044,
-0.0738845244050026,
-0.0141668152064085,
0.01630025915801525,
-0.010414574295282364,
0.007616768591105938,
-0.03696097806096077,
-0.004353441763669252,
0.013034592382609844,
-0.01390481274574995,
0.016740048304200172,
-0.005394431296736002,
-0.032432086765766144,
-0.05756555125117302,
-0.030785219743847847,
0.03413509950041771,
0.010264858603477478,
-0.01436331681907177,
0.042219728231430054,
-0.012856805697083473,
-0.03608139976859093,
0.006596832536160946,
0.027192050591111183,
0.15899769961833954,
-0.04581289738416672,
-0.0021778903901576996,
-0.031982943415641785,
-0.026574475690722466,
-0.04817091301083565,
-0.01865827478468418,
-0.01646868884563446,
-0.056629832834005356,
0.02889506332576275,
-0.05550696700811386,
-0.003869206178933382,
0.08623604476451874,
0.056554973125457764,
-0.00764484005048871,
-0.021746154874563217,
0.06430274248123169,
-0.0007515008910559118,
-0.03114079311490059,
0.08526289463043213,
-0.012454445473849773,
-0.04749719426035881,
0.04854520410299301,
-0.0323198027908802,
0.033423952758312225,
0.021446723490953445,
0.03574454039335251,
0.07365994900465012,
0.017563482746481895,
0.030074071139097214,
-0.010994721204042435,
-0.006026043090969324,
-0.001839861273765564,
-0.04641176015138626,
0.04150858148932457,
0.005703219212591648,
0.041022006422281265,
-0.005399109795689583,
0.05764041095972061,
-0.05999842658638954,
0.028876347467303276,
-0.00610090047121048,
0.05105293542146683,
-0.04768433794379234,
-0.016178615391254425,
0.05423438549041748,
-0.06823277473449707,
0.003787330584600568,
-0.03718554973602295,
-0.03409767150878906,
-0.02636861614882946,
0.048844631761312485,
-0.021446723490953445,
-0.0072050513699650764,
0.024609461426734924,
0.04768433794379234,
0.047235194593667984,
-0.03351752460002899,
0.043380022048950195,
-0.06901877373456955,
0.06493903696537018,
-0.035314109176397324,
0.022532159462571144,
-0.00817820057272911,
0.01865827478468418,
-0.015654610469937325,
-0.007747769355773926,
0.04663633182644844,
-0.024890176951885223,
0.020024428144097328,
0.03948742523789406,
-0.008384059183299541,
-0.0256761834025383,
0.03516439348459244,
-0.009221529588103294,
0.06164529547095299,
-0.02503989264369011,
0.062057014554739,
0.013670883141458035,
0.01755412481725216,
-0.021914584562182426,
-0.0024515888653695583,
0.028052913025021553,
0.05056636035442352,
0.0016082703368738294,
0.0019965944811701775,
-0.05153951048851013,
0.03351752460002899,
-0.018283987417817116,
0.004018921405076981,
-0.020136713981628418,
-0.023243308067321777,
-0.046786047518253326,
-0.016702618449926376,
0.020642004907131195,
0.0042809234000742435,
-0.010564289055764675,
0.02401059865951538,
-0.022363729774951935,
-0.011715225875377655,
-0.01793777011334896,
0.02314973622560501,
0.015626540407538414,
-0.041134294122457504,
-0.008865956217050552,
-0.036530546844005585,
0.013474381528794765,
0.03190808370709419,
0.0011643877951428294,
-0.009361888282001019,
0.02049228921532631,
0.015542324632406235,
0.05007978528738022,
0.01468146126717329,
-0.0459626130759716,
-0.03385438397526741,
0.018171701580286026,
0.035557396709918976,
0.025227036327123642,
-0.024085456505417824,
-0.035501252859830856,
0.0042809234000742435,
0.04656147584319115,
0.01332466583698988,
0.031646084040403366,
0.02878277562558651,
-0.045738041400909424,
0.025863327085971832,
-0.011846227571368217,
0.011500010266900063,
-0.011443867348134518,
-0.0187144186347723,
-0.049892641603946686,
-0.027659911662340164,
-0.007228444330394268,
0.03482753410935402,
0.0006187454564496875,
0.023991884663701057,
0.020174143835902214,
0.013773811981081963,
-0.010040285997092724,
-0.037279121577739716,
0.012286015786230564,
0.032095227390527725,
0.023355593904852867,
0.013427595607936382,
0.08376573771238327,
0.0061289723962545395,
-0.008140772581100464,
0.051389794796705246,
-0.018957706168293953,
0.07942399382591248,
0.015476824715733528,
0.005118393339216709,
0.0519137978553772,
0.004313673358410597,
-0.0054178242571651936,
0.067446768283844,
-0.0001761787134455517,
0.044353172183036804,
-0.010498789139091969,
-0.02717333659529686,
-0.028314916417002678,
-0.006409688387066126,
-0.05371038243174553,
-0.040797434747219086,
-0.023580167442560196,
0.016225401312112808,
-0.008557167835533619,
-0.053223807364702225,
0.00824838038533926,
0.004435317125171423,
0.04570060968399048,
0.02256958931684494,
-0.00973149761557579,
-0.023299451917409897,
-0.08399031311273575,
-0.06624904274940491,
-0.009240244515240192,
-0.05292437598109245,
0.017142407596111298,
-0.026013042777776718,
-0.006751226726919413,
0.012716447934508324,
-0.03709197789430618,
0.055132679641246796,
0.006540689617395401,
0.011696511879563332,
0.032095227390527725,
0.02809034287929535,
-0.015701398253440857,
0.0018831384368240833,
-0.032956089824438095,
0.01375509798526764,
0.011752654798328876,
0.04790891334414482,
0.04749719426035881,
0.07860055565834045,
0.038252271711826324,
-0.027940627187490463,
0.04087229073047638,
-0.0017041817773133516,
0.0024048027116805315,
-0.03275023400783539,
-0.028314916417002678,
0.0061196149326860905,
0.07257451862096786,
0.040048856288194656,
0.046486616134643555,
0.03297480568289757,
0.03772826865315437,
0.019069992005825043,
0.010171286761760712,
-0.11520596593618393,
0.018733132630586624,
-0.024740461260080338,
0.01545810978859663,
-0.012042728252708912,
-0.0013334023533388972,
-0.026499617844820023,
-0.012126943096518517,
-0.08503831923007965,
-0.014447531662881374,
-0.04195772856473923,
0.005843577440828085,
-0.021671297028660774,
-0.011266079731285572,
-0.005955863744020462,
0.006564082577824593,
-0.033143237233161926,
0.010152571834623814,
-0.01998700015246868,
0.0129784494638443,
-0.06830763071775436,
-0.02365502528846264,
0.017619624733924866,
-0.05371038243174553,
0.020642004907131195,
0.01816234365105629,
-0.019200993701815605,
0.0023779007606208324,
0.0010240295669063926,
-0.058126986026763916,
0.021334437653422356,
0.015439395792782307,
-0.015617182478308678,
-0.01979985460639,
0.011574868112802505,
0.003834116505458951,
-0.012566732242703438,
0.02509603649377823,
0.019818570464849472,
-0.048507772386074066,
-0.06407816708087921,
-0.0016807887004688382,
-0.020398717373609543,
-0.023000020533800125,
-0.03944999352097511,
0.015673326328396797,
-0.03937513753771782,
-0.04364202544093132,
-0.052475228905677795,
0.11078935861587524,
0.05262494459748268,
0.027248194441199303,
-0.02689261920750141,
0.0491814911365509,
-0.026387330144643784,
-0.020810434594750404,
-0.051389794796705246,
0.035501252859830856,
-0.003728847950696945,
-0.0067559052258729935,
0.031047221273183823,
0.0065687610767781734,
-0.022419873625040054,
0.00881917029619217,
0.013277879916131496,
0.019762426614761353,
0.01616925746202469,
0.06291787326335907,
0.0077664838172495365,
-0.016796190291643143,
0.009198136627674103,
-0.05468353256583214,
0.03196422755718231,
-0.039412565529346466,
-0.038364559412002563,
-0.01487796287983656,
0.04150858148932457,
-0.0302237868309021,
-0.016927191987633705,
0.014700176194310188,
-0.003506614128127694,
-0.03158994019031525,
0.028520774096250534,
0.004255190957337618,
0.027959341183304787,
0.0005912586930207908,
0.0031580582726746798,
0.014906034804880619,
0.005413145758211613,
0.06617418676614761,
-0.01398902852088213,
-0.0406477190554142,
0.0326005183160305,
-0.001080172834917903,
-0.035201821476221085,
-0.0013240451226010919,
0.026724189519882202,
-0.013829955831170082,
0.0023849187418818474,
0.01697397790849209,
0.04663633182644844,
-0.05423438549041748,
0.004664568696171045,
-0.004861070308834314,
-0.04098457843065262,
-0.014746962115168571,
-0.006526653654873371,
0.007827305234968662,
0.04506431892514229,
0.002896056277677417,
0.0075793396681547165,
-0.028595631942152977,
0.009946713224053383,
0.011340937577188015,
-0.009516282007098198,
0.029737211763858795,
-0.007962984964251518,
0.015925969928503036,
-0.006545368116348982,
-0.04046057537198067,
-0.006143007893115282,
-0.04087229073047638,
-0.01630025915801525,
-0.019537853077054024,
0.01531775202602148,
-0.04195772856473923,
-0.050865791738033295,
-0.016711976379156113,
-0.04820834472775459,
0.007298623211681843,
-0.08945491909980774,
0.006236580200493336,
0.006395652424544096,
0.026331188157200813,
-0.01721726544201374,
-0.039749424904584885,
0.016075685620307922,
-0.046486616134643555,
-0.023393023759126663,
0.06950534880161285,
-0.011350294575095177,
0.013249808922410011,
-0.012388945557177067,
0.036530546844005585,
-0.049368638545274734,
-0.03202037140727043,
-0.005249394569545984,
0.03304966539144516,
-0.034509386867284775,
-0.01074207667261362,
0.03682997450232506,
-0.03415381535887718,
0.003920670598745346,
0.023336879909038544,
0.017628982663154602,
0.0009310423629358411,
-0.04768433794379234,
-0.00880513433367014,
0.06269330531358719,
0.05262494459748268,
-0.006526653654873371,
-0.013081379234790802,
0.05973642319440842,
0.03982428461313248,
0.002402463462203741,
-0.0034177207853645086,
-0.031065935268998146,
-0.03778441250324249,
-0.030598074197769165,
-0.0491814911365509,
0.061345864087343216,
-0.011369009502232075,
-0.044240884482860565,
-0.03387309983372688,
-0.04891949146986008,
-0.04150858148932457,
0.03391052782535553,
-0.05389752611517906,
0.02165258303284645,
0.009240244515240192,
-0.03870141878724098,
0.013025235384702682,
-0.00952563900500536,
0.01508382149040699,
-0.0010058999760076404,
-0.07130193710327148,
0.01713304966688156,
0.06153300777077675,
-0.0026200185529887676,
0.04266887530684471,
0.044877175241708755,
-0.002575571881607175,
0.03993656858801842,
0.0054178242571651936,
0.040498003363609314,
0.008931456133723259,
0.012566732242703438,
-0.005792112555354834,
0.027622481808066368,
-0.01635640114545822,
-0.017376337200403214,
-0.0286143459379673,
-0.027042334899306297,
0.03086007758975029,
0.022700589150190353,
0.0034621674567461014,
0.006077507510781288,
-0.04233201593160629,
-0.028408488258719444,
0.012613518163561821,
-0.0631798803806305,
-0.05475838854908943,
-0.015168036334216595,
-0.004524210933595896,
0.04719776287674904,
-0.04128400981426239,
-0.007911521010100842,
0.0011205258779227734,
-0.01295037753880024,
0.034116387367248535,
0.02803419902920723,
0.04083486273884773,
0.004065707325935364,
0.030074071139097214,
0.04543861001729965,
-0.03948742523789406,
-0.005581575445830822,
0.033423952758312225,
-0.008814491331577301,
-0.003993188962340355,
-0.0021065417677164078,
-0.02204558625817299,
0.003646972356364131,
-0.049256350845098495,
0.015542324632406235,
-0.005450574681162834,
-0.020117999985814095,
-0.008089307695627213,
-0.013511810451745987,
-0.01393288467079401,
0.006058793049305677,
0.001886647311039269,
0.01396095659583807,
-0.018087485805153847,
0.00019854828133247793,
0.07092764973640442,
-0.013315308839082718,
0.056330401450395584,
-0.044877175241708755,
-0.010976006276905537,
-0.02844591625034809,
-0.011228651739656925,
-0.0016421902691945434,
0.045214034616947174,
0.033929239958524704,
-0.02073557674884796,
0.0072050513699650764,
-0.010835648514330387,
0.025170892477035522,
-0.002193095861002803,
0.024834033101797104,
0.01991214230656624,
-0.00901099294424057,
-0.00011499132961034775,
-0.007228444330394268,
-0.06347931176424026,
-0.010096428915858269,
-0.03679254651069641,
0.048620060086250305,
0.026911335065960884,
-0.000776648405008018,
-0.009577103890478611,
0.02182101272046566,
0.001100056921131909,
0.016740048304200172,
0.02112857811152935,
0.014765676110982895,
-0.044764891266822815,
-0.01879863440990448,
-0.00552543206140399,
0.06538818031549454,
0.0433051660656929,
0.019650138914585114,
-0.0049499636515975,
-0.019593996927142143,
-0.018733132630586624,
0.01473760511726141,
0.022756733000278473,
0.0022983646485954523,
-0.0028679845854640007,
0.02015542984008789,
-0.04304316267371178,
0.013745740987360477,
-0.04944349452853203,
0.0037990270648151636,
-0.003979153465479612,
0.0007322016172111034,
-0.015149322338402271,
0.007761805318295956,
-0.04244430363178253,
0.03772826865315437,
0.029381638392806053,
0.021390581503510475,
0.00804252177476883,
-0.02838977426290512,
0.01741376705467701,
0.0010187661973759532,
0.023917026817798615,
-0.04832062870264053,
0.01746991090476513,
-0.019949570298194885,
0.009825069457292557,
-0.003399006323888898,
-0.009722140617668629,
0.005651754327118397,
0.04543861001729965,
0.027790911495685577,
0.0203238595277071,
0.0183307733386755,
-0.005937149282544851,
-0.011949156410992146,
0.0738845244050026,
-0.014999606646597385,
0.0658373236656189,
-0.002382579492405057,
-0.003747562412172556,
0.029100921005010605,
0.0049827140755951405,
0.05337352305650711,
0.012819376774132252,
0.028520774096250534,
0.0390382781624794,
-0.0342099592089653,
-0.006957085337489843,
-0.01827462948858738,
0.021802298724651337,
0.04334259405732155,
0.006082186009734869,
0.048096057027578354,
0.0053523238748312,
0.023336879909038544,
-0.01807812787592411,
0.008515060879290104,
0.03776569664478302,
0.019837284460663795,
0.013427595607936382,
0.0016375116538256407,
0.05797727033495903,
-0.009890570305287838,
0.014812462963163853,
-0.03125308081507683,
0.05434667319059372,
-0.006526653654873371,
-0.01688976213335991,
-0.00221064081415534,
0.052026085555553436,
0.011415795423090458,
-0.005937149282544851,
-0.03479010611772537,
0.0027159301098436117,
-0.0007725546020083129,
-0.021559011191129684,
-0.023729883134365082,
-0.001160878804512322,
-0.0002884652349166572,
0.047235194593667984,
-0.01632833108305931,
0.0005310216220095754,
-0.007850699126720428,
0.02608790062367916,
0.023074878379702568,
-0.04454031586647034,
-0.010311644524335861,
0.026443473994731903,
-0.01749798096716404,
-0.02825877256691456,
0.01877056248486042,
0.035257965326309204,
-0.03544510900974274,
0.009497568011283875,
-0.002931145951151848,
0.045214034616947174,
0.005080964881926775,
0.007738412357866764,
0.009853141382336617,
0.009207493625581264,
-0.015139964409172535,
-0.0003289644082542509,
-0.01713304966688156,
0.0433051660656929,
0.012884877622127533,
0.030186356976628304,
0.04139629378914833,
0.013343380764126778,
0.028745347633957863,
-0.02112857811152935,
-0.010498789139091969,
0.033311665058135986,
0.01899513602256775,
0.011921084485948086,
-0.004070386290550232,
-0.024216458201408386,
-0.042743731290102005,
0.014634675346314907,
-0.018396273255348206,
0.006110257934778929,
-0.026106614619493484,
0.0009363057906739414,
0.035257965326309204,
-0.020080571994185448,
-0.018920278176665306,
-0.004547603894025087,
0.01916356571018696,
-0.012585446238517761,
0.034172527492046356,
0.049256350845098495,
-0.014026456512510777,
-0.024777891114354134,
-0.016852334141731262,
-0.008692847564816475,
0.029568782076239586,
-0.04128400981426239,
0.014176172204315662,
-0.015935327857732773,
-0.044240884482860565,
0.014353958889842033,
-0.02026771567761898,
0.005272787529975176,
0.05831412971019745,
-0.033311665058135986,
0.04367945343255997,
-0.052250657230615616,
-0.023636311292648315,
0.009843784384429455,
-0.015589110553264618,
-0.024197744205594063,
0.030317358672618866,
-0.016010185703635216,
-0.026855191215872765,
0.010171286761760712,
0.010891791433095932,
0.0022258462850004435,
0.043267738074064255,
-0.023393023759126663,
-0.016206687316298485,
0.01985599845647812,
0.02975592575967312,
-0.0014749300898984075,
-0.0031089328695088625,
0.02625633031129837,
0.03858913108706474,
-0.0833914503455162,
0.004559300374239683,
-0.014896677806973457,
0.01369895413517952,
0.01577625423669815,
-0.026275044307112694,
-0.00898292101919651,
-0.02867048978805542,
0.03870141878724098,
-0.0232620220631361,
-0.019388137385249138,
-0.019893426448106766,
0.05120265111327171,
-0.015439395792782307,
-0.025189608335494995,
0.021035006269812584,
0.04963063821196556,
-0.017713196575641632,
-0.021839726716279984,
0.02038000151515007,
0.0002067358436761424,
0.024310030043125153,
0.014213601127266884,
-0.006900941953063011,
0.011930442415177822,
0.0026714832056313753,
-0.02606918476521969,
0.030841361731290817,
-0.02872663363814354,
0.014606604352593422,
0.0009251940646208823,
-0.05850127339363098,
-0.004615443758666515,
-0.00420138705521822,
-0.033311665058135986,
0.010405217297375202,
0.014456888660788536,
0.02533932402729988,
-0.00860863272100687,
-0.004723051562905312,
-0.014690819196403027,
0.05105293542146683,
-0.035557396709918976,
-0.038308415561914444,
0.015467466786503792,
-0.0141668152064085,
-0.04195772856473923,
-0.023935740813612938,
-0.04847034439444542,
0.011509367264807224,
-0.026387330144643784,
-0.044128600507974625,
-0.0015322430990636349,
-0.0077056619338691235,
-0.01827462948858738,
0.04382916912436485,
-0.0237860269844532,
0.025189608335494995,
0.021222151815891266,
0.00876302644610405,
0.006428402848541737,
-0.03684869036078453,
0.015467466786503792,
-0.054720960557460785,
-0.04034828767180443,
-0.019331995397806168,
0.049480922520160675,
0.001719387248158455,
-0.020978864282369614,
-0.046711187809705734,
-0.02653704583644867,
0.05550696700811386,
-0.0028211986646056175,
-0.02251344546675682,
0.008992278017103672,
0.02492760680615902,
0.013876741752028465,
0.021671297028660774,
0.040909718722105026,
0.022925162687897682,
0.013053307309746742,
0.004301976878196001,
0.02187715470790863,
-0.0355386808514595,
0.03563225269317627,
0.01902320608496666,
-0.011331580579280853,
0.021615153178572655,
0.01372702606022358,
-0.028689203783869743,
-0.05090321972966194,
0.03692355006933212,
-0.006049436051398516,
0.0016223061829805374,
-0.01929456554353237,
-0.014924748800694942,
-0.032450802624225616,
-0.012538660317659378,
-0.006947727873921394,
-0.02481531910598278,
0.003118290100246668,
0.01091050636023283,
0.019650138914585114,
0.03724169358611107,
0.03656797483563423,
0.020342573523521423,
-0.016075685620307922,
0.007307980675250292,
-0.013680240139365196,
-0.0025124107487499714,
-0.028296200558543205,
-0.006980478297919035,
-0.002514749998226762,
-0.04854520410299301,
-0.03862655907869339,
-0.014279101975262165,
-0.018312059342861176,
0.00499675003811717,
0.04195772856473923,
0.026162758469581604,
-0.005132429301738739,
0.028408488258719444,
0.019893426448106766,
0.018124913796782494,
0.017750626429915428,
0.02026771567761898,
0.007144229486584663,
0.0028492703568190336,
-0.04644918814301491,
0.03074778988957405,
0.00002096234129567165,
0.010021571069955826,
-0.047759197652339935,
-0.012211157940328121,
-0.06014814227819443,
0.03108464926481247,
-0.06774619966745377,
-0.01638447307050228,
-0.019238421693444252,
-0.019556567072868347,
-0.023168450221419334,
0.01220180094242096,
-0.008856598287820816,
-0.01627218723297119,
0.022326301783323288,
-0.008730276487767696,
-0.005361680872738361,
0.02073557674884796,
0.015551681630313396,
0.009067135863006115,
0.008290487341582775,
-0.03467781841754913,
-0.0513523668050766,
0.006704440340399742,
0.02820262871682644,
-0.0030902184080332518,
0.006779298186302185,
-0.01655290275812149,
0.041358865797519684,
-0.003010682063177228,
-0.013474381528794765,
0.005979256704449654,
-0.009703426621854305,
-0.03862655907869339,
0.014410102739930153,
0.012070800177752972,
-0.06662333011627197,
-0.011500010266900063,
0.0059932926669716835,
0.004585032816976309,
0.023804740980267525,
0.022195300087332726,
0.017170479521155357,
0.004079743288457394,
0.04629947245121002,
0.013334023766219616,
0.029793355613946915,
-0.044652603566646576,
-0.01036778837442398,
0.010891791433095932,
-0.02532060816884041,
-0.03441581502556801,
0.004344084300100803,
-0.005319573450833559,
0.003099575638771057,
-0.016178615391254425,
0.05198865383863449,
0.004168636631220579,
-0.022887734696269035,
-0.05019207298755646,
0.00021667788678314537,
-0.041658297181129456,
0.02401059865951538,
0.003733526449650526,
-0.005516075063496828,
-0.04233201593160629,
-0.011088293045759201,
0.03293737769126892,
-0.02648090198636055,
0.003808384295552969,
0.010311644524335861,
0.04270630329847336,
-0.00647518876940012,
-0.01048007421195507,
-0.014484960585832596,
0.007401552516967058,
0.02539546601474285,
0.05992357060313225,
-0.00800041388720274,
0.026125328615307808,
-0.005534789524972439,
0.020286429673433304,
-0.03213265538215637,
0.03170222416520119,
-0.008463595993816853,
-0.025489037856459618,
0.01727340929210186,
-0.025938184931874275,
0.00038715454866178334,
0.016150543466210365,
-0.025002462789416313,
-0.025807183235883713,
0.015607825480401516,
0.005282144527882338,
-0.005202608648687601,
0.016786834225058556,
0.022925162687897682,
-0.021858440712094307,
0.007490446325391531,
0.0016983335372060537,
0.07661683112382889,
0.013006521388888359,
0.05303666368126869,
0.053747810423374176,
0.013455667532980442,
-0.04772176966071129,
0.037166837602853775,
-0.0075044818222522736,
0.03892599046230316,
0.003911313600838184,
0.036811262369155884,
-0.0588381327688694,
0.05082836002111435,
-0.07661683112382889,
-0.01985599845647812,
0.0315525084733963,
-0.04570060968399048,
0.03327423706650734,
0.027603767812252045,
0.01551425363868475,
-0.024852748960256577
] |
Industrial robots are widely used in various manufacturing environments due
to their efficiency in doing repetitive tasks such as assembly or welding. A
common problem for these applications is to reach a destination without
colliding with obstacles or other robot arms. Commonly used sampling-based path
planning approaches such as RRT require long computation times, especially in
complex environments. Furthermore, the environment in which they are employed
needs to be known beforehand. When utilizing the approaches in new
environments, a tedious engineering effort in setting hyperparameters needs to
be conducted, which is time- and cost-intensive. On the other hand, Deep
Reinforcement Learning has shown remarkable results in dealing with unknown
environments, generalizing new problem instances, and solving motion planning
problems efficiently. On that account, this paper proposes a
Deep-Reinforcement-Learning-based motion planner for robotic manipulators. We
evaluated our model against state-of-the-art sampling-based planners in several
experiments. The results show the superiority of our planner in terms of path
length and execution time. | [
0.022645842283964157,
-0.0332997590303421,
-0.02028759755194187,
-0.04024069383740425,
0.008538185618817806,
0.059441156685352325,
-0.02627519890666008,
0.01871543377637863,
-0.11794570833444595,
0.010185611434280872,
0.0041415635496377945,
0.00869707390666008,
-0.00012387058814056218,
-0.047231800854206085,
-0.02923554927110672,
0.06499390304088593,
0.054356712847948074,
0.004076753277331591,
0.01776210218667984,
-0.0382336750626564,
0.02038794942200184,
0.01659134216606617,
-0.040909700095653534,
0.06161542609333992,
0.0044196187518537045,
0.0004207418824080378,
0.02226116508245468,
-0.027094731107354164,
-0.0693758949637413,
0.06750267744064331,
0.03920373320579529,
0.02356572635471821,
-0.016582978889346123,
0.019133562222123146,
-0.004499063361436129,
0.014082569628953934,
0.002943625207990408,
0.028365841135382652,
-0.007258711848407984,
0.03555765375494957,
0.042080458253622055,
0.026375550776720047,
-0.03672841191291809,
-0.06549565494060516,
-0.008680349215865135,
-0.04111040011048317,
-0.030573559924960136,
0.012117365375161171,
-0.04612794145941734,
0.054289814084768295,
0.0019714762456715107,
-0.036594610661268234,
0.03475484624505043,
-0.032212626188993454,
-0.03321613371372223,
0.03779882192611694,
0.03749777004122734,
0.03743086755275726,
0.021391456946730614,
0.03518969938158989,
0.028148414567112923,
-0.016817130148410797,
-0.04766665771603584,
-0.024418707937002182,
-0.02590724639594555,
-0.07700255513191223,
0.07312232255935669,
-0.04315086826682091,
0.008688711561262608,
-0.046428997069597244,
-0.05295180156826973,
-0.014492335729300976,
-0.080815888941288,
-0.008174413815140724,
-0.01540385652333498,
-0.006501899100840092,
-0.007961167953908443,
0.026442449539899826,
0.01859835907816887,
0.025455666705965996,
0.01838093250989914,
0.042047008872032166,
-0.02707800641655922,
-0.06389004737138748,
0.12423435598611832,
-0.03468794748187065,
0.07098150253295898,
-0.05837074667215347,
0.031376369297504425,
-0.03525660187005997,
-0.08349191397428513,
0.016892394050955772,
0.012953623197972775,
-0.0009266774286516011,
0.011782863177359104,
0.040173791348934174,
-0.013589178211987019,
-0.02553929202258587,
-0.03759812191128731,
-0.0009454932296648622,
-0.012100640684366226,
0.003077426226809621,
-0.00037657705252058804,
0.013530639931559563,
0.01284490991383791,
-0.030540110543370247,
-0.07071390002965927,
0.019468065351247787,
-0.04134455323219299,
0.11761119961738586,
-0.030121982097625732,
-0.03729706630110741,
0.015989236533641815,
0.00979257095605135,
-0.040909700095653534,
0.03401894122362137,
-0.05917355418205261,
-0.07666805386543274,
0.04074244573712349,
-0.03672841191291809,
0.014734850265085697,
0.054356712847948074,
0.0434853695333004,
-0.059876009821891785,
-0.03171087056398392,
-0.015194792300462723,
0.007576489821076393,
-0.0028286396991461515,
0.008324939757585526,
0.007384150288999081,
-0.03186139836907387,
-0.014442160725593567,
-0.03308233246207237,
0.04198010638356209,
0.02532186545431614,
0.019718943163752556,
0.009566781111061573,
-0.012318067252635956,
-0.011373097077012062,
0.013162687420845032,
-0.03191157057881355,
-0.059073202311992645,
-0.06562945991754532,
0.008203682489693165,
0.03201192244887352,
0.034002214670181274,
-0.08583343029022217,
0.04746595397591591,
-0.02963695302605629,
-0.014626136980950832,
-0.04345192015171051,
0.01705964468419552,
0.015127891674637794,
0.053854960948228836,
0.05837074667215347,
-0.03830057755112648,
-0.01461777463555336,
0.007012016139924526,
-0.041277650743722916,
-0.039337534457445145,
0.09419600665569305,
-0.00988455954939127,
0.0022181719541549683,
0.05124583840370178,
0.0088643254712224,
0.012510406784713268,
0.04298361763358116,
-0.00807824358344078,
-0.06422454863786697,
0.0197356678545475,
-0.08021378517150879,
-0.016173213720321655,
0.002722017001360655,
0.038902681320905685,
0.008517279289662838,
0.022896720096468925,
0.026542801409959793,
0.0016996925696730614,
-0.0030314321629703045,
-0.018263855949044228,
-0.0329987071454525,
0.009282453916966915,
0.016106313094496727,
0.04863671585917473,
0.03913683444261551,
0.08877705782651901,
0.0379326231777668,
-0.02788081206381321,
0.04238151013851166,
-0.008350027725100517,
-0.004037031438201666,
0.020187247544527054,
0.0006982746999710798,
-0.020990053191781044,
0.0043527185916900635,
-0.056229930371046066,
-0.004959004931151867,
0.03803297504782677,
-0.012384967878460884,
0.06124747171998024,
-0.05221589654684067,
-0.010294325649738312,
0.014868651516735554,
0.011607249267399311,
0.05168069154024124,
-0.017343973740935326,
0.01182467583566904,
-0.03843437880277634,
0.026810403913259506,
-0.06733542680740356,
-0.0005665642092935741,
0.018046429380774498,
-0.06004326045513153,
0.00704546645283699,
-0.031008414924144745,
0.01889941096305847,
-0.026743503287434578,
0.01951824128627777,
-0.01671678014099598,
-0.09138617664575577,
-0.03799952566623688,
-0.004929735790938139,
0.010980055667459965,
0.00007291117071872577,
-0.05465776473283768,
0.03983929008245468,
0.02572326920926571,
-0.026291923597455025,
-0.0217426847666502,
0.027680110186338425,
-0.01659134216606617,
-0.00145717803388834,
0.045693088322877884,
0.010444851592183113,
-0.011013505980372429,
0.05050992965698242,
-0.013739705085754395,
0.028114965185523033,
-0.057534489780664444,
-0.019417891278862953,
0.04030759260058403,
-0.020270872861146927,
-0.013513915240764618,
0.009458067826926708,
0.08824185281991959,
0.0052057006396353245,
0.009750758297741413,
0.01284490991383791,
0.002575671998783946,
-0.02466958574950695,
-0.06683366745710373,
-0.020822802558541298,
-0.036561161279678345,
0.020521750673651695,
-0.01693420670926571,
0.017477773129940033,
0.0314599946141243,
-0.030640460550785065,
0.018063154071569443,
0.010461576282978058,
0.03559110313653946,
0.06151507422327995,
0.018865961581468582,
0.017343973740935326,
0.0000971495610428974,
0.007685203105211258,
0.012301342561841011,
0.047599755227565765,
0.014433798380196095,
0.0037297068629413843,
-0.04338502138853073,
-0.044823382049798965,
-0.014509061351418495,
0.02211063914000988,
-0.0121842660009861,
-0.060243964195251465,
0.04856981337070465,
0.02948642708361149,
0.0718512162566185,
0.020438123494386673,
-0.003144326852634549,
-0.05649753287434578,
0.0019422072218731046,
0.020772626623511314,
-0.01724362187087536,
-0.030607011169195175,
-0.05800279602408409,
-0.010971693322062492,
-0.040073443204164505,
0.049974724650382996,
-0.027178356423974037,
0.033132508397102356,
-0.061481624841690063,
0.03676186501979828,
0.06950969249010086,
0.026409000158309937,
-0.020822802558541298,
-0.02865017019212246,
0.006995290983468294,
-0.01915028877556324,
-0.021976837888360023,
0.002751285908743739,
-0.00011576934775803238,
-0.024753211066126823,
-0.0026822946965694427,
-0.015863798558712006,
-0.06399039924144745,
0.012510406784713268,
0.02967040240764618,
-0.034554146230220795,
-0.007459413725882769,
0.0177286509424448,
-0.012560581788420677,
-0.009299179539084435,
0.01863180845975876,
0.05258384719491005,
0.043652623891830444,
-0.021207481622695923,
-0.02415110543370247,
-0.019016487523913383,
-0.005903975106775761,
0.029804203659296036,
-0.07633355259895325,
0.04539203643798828,
0.010428125970065594,
0.010821167379617691,
0.0339185893535614,
-0.039738938212394714,
-0.027730286121368408,
-0.0601436123251915,
-0.004896285478025675,
0.021692510694265366,
-0.046027593314647675,
-0.039738938212394714,
-0.017343973740935326,
-0.01878233440220356,
-0.05716653913259506,
0.007409238256514072,
-0.026475900784134865,
-0.03706291690468788,
-0.03324958309531212,
-0.01421637088060379,
-0.0005984465242363513,
0.011189120821654797,
0.008396022021770477,
-0.08583343029022217,
0.01435853447765112,
0.010244149714708328,
-0.03351718559861183,
0.017678475007414818,
0.0008806833066046238,
-0.05566127598285675,
-0.010076898150146008,
-0.026810403913259506,
0.06171577796339989,
-0.04870361462235451,
-0.006405729800462723,
-0.014559236355125904,
-0.0669005736708641,
0.0047833905555307865,
-0.01118075754493475,
-0.03171087056398392,
-0.04699765145778656,
0.04064209759235382,
-0.04455577954649925,
0.011247658170759678,
-0.02686057984828949,
-0.019267363473773003,
-0.0008827739511616528,
0.017962804064154625,
-0.0018700800137594342,
0.03191157057881355,
0.06991109251976013,
-0.035356950014829636,
-0.01563800871372223,
0.0074385073967278,
-0.00900648906826973,
0.0012063009198755026,
-0.040508296340703964,
0.023013796657323837,
-0.0001812325936043635,
0.04057519510388374,
-0.07479483634233475,
0.032363150268793106,
0.025974147021770477,
0.06997799873352051,
0.03204537183046341,
-0.03246350213885307,
0.02137473225593567,
0.048335663974285126,
0.0493391714990139,
-0.03960513696074486,
-0.05465776473283768,
0.02087297849357128,
-0.02167578414082527,
-0.03161051869392395,
0.06188302859663963,
-0.0010688412003219128,
-0.01933426409959793,
-0.0505768321454525,
-0.01659134216606617,
0.025355316698551178,
0.00023624264576938003,
0.046763498336076736,
-0.011506898328661919,
0.02229461446404457,
0.0024063298478722572,
-0.04003999009728432,
0.030456485226750374,
0.022093912586569786,
0.008671986870467663,
-0.00949988141655922,
0.0019160741940140724,
-0.029469700530171394,
-0.00477920938283205,
-0.025087714195251465,
0.04037449508905411,
0.01754467375576496,
-0.013622628524899483,
-0.08516442775726318,
-0.018263855949044228,
0.036092858761548996,
0.009056665003299713,
0.025556018576025963,
-0.045994143933057785,
0.057133086025714874,
0.020990053191781044,
-0.008036430925130844,
-0.03702946752309799,
-0.01282818429172039,
0.050777532160282135,
0.00735488161444664,
0.008755612187087536,
-0.026760227978229523,
0.033232856541872025,
0.00965040735900402,
-0.014299997128546238,
0.05050992965698242,
-0.01791262812912464,
0.008086606860160828,
-0.024786660447716713,
-0.012644208036363125,
-0.01838093250989914,
-0.030640460550785065,
0.025572743266820908,
-0.03585870563983917,
0.0046412269584834576,
-0.02127438224852085,
0.002163815312087536,
-0.010662278160452843,
-0.04191320762038231,
-0.011866488493978977,
-0.0069869281724095345,
-0.02865017019212246,
0.04786735773086548,
0.02890104614198208,
0.004373624920845032,
-0.010988418944180012,
-0.028081513941287994,
-0.03452069312334061,
0.02908502332866192,
0.038066424429416656,
-0.010093623772263527,
-0.05569472536444664,
0.052349697798490524,
-0.004099750425666571,
-0.0070496476255357265,
-0.03766502067446709,
0.007635027635842562,
0.0005273646675050259,
-0.001674604951404035,
-0.04412092640995979,
0.024034030735492706,
0.0020969146862626076,
0.029369350522756577,
0.03836747631430626,
-0.008947951719164848,
-0.049974724650382996,
-0.008931226097047329,
-0.023181047290563583,
-0.010219061747193336,
0.03132619336247444,
0.025372041389346123,
-0.0391702838242054,
-0.007660115137696266,
0.018983036279678345,
0.03408583998680115,
-0.018765609711408615,
-0.017193445935845375,
0.020588651299476624,
0.039304085075855255,
-0.024134380742907524,
-0.056698232889175415,
0.007359062787145376,
0.002339429222047329,
-0.054758116602897644,
-0.003054429078474641,
-0.024034030735492706,
0.06950969249010086,
-0.0027052918449044228,
-0.001851264270953834,
-0.03373461216688156,
0.022712742909789085,
0.029469700530171394,
-0.03241332620382309,
0.0592070035636425,
0.04231461137533188,
-0.012543857097625732,
-0.0195851419121027,
-0.05285144969820976,
0.010043447837233543,
0.011557073332369328,
-0.009675495326519012,
0.017711926251649857,
0.01399894431233406,
0.0050468118861317635,
-0.007074735127389431,
0.010386313311755657,
0.023181047290563583,
0.040407944470644,
0.02038794942200184,
0.023916954174637794,
-0.006326285190880299,
0.003821694990620017,
-0.02784736268222332,
0.053955309092998505,
0.028850870206952095,
-0.04652934521436691,
0.03428654372692108,
0.008755612187087536,
-0.011623973958194256,
0.028817420825362206,
-0.02393367886543274,
-0.05686548352241516,
-0.02901812270283699,
-0.01776210218667984,
0.05318595468997955,
0.00652280542999506,
-0.01509444136172533,
0.0007040239870548248,
0.025673093274235725,
0.04114384949207306,
-0.010035085491836071,
0.021324556320905685,
0.02532186545431614,
-0.01165742427110672,
0.007446869742125273,
-0.019049936905503273,
0.0057283611968159676,
0.016507714986801147,
-0.0014801750658079982,
-0.020772626623511314,
0.009165378287434578,
0.012167541310191154,
-0.03940443694591522,
-0.04395367577672005,
-0.00652280542999506,
-0.02119075506925583,
-0.0011885304702445865,
-0.022411691024899483,
-0.011791225522756577,
-0.011590523645281792,
-0.019819293171167374,
-0.012251166626811028,
0.0366949625313282,
-0.07693565636873245,
0.008830875158309937,
0.03746432065963745,
0.03472139686346054,
0.009382804855704308,
-0.014040756970643997,
-0.009014851413667202,
0.0013254676014184952,
-0.0181969553232193,
0.01662479154765606,
-0.006297016050666571,
0.0006047184579074383,
-0.0027533764950931072,
-0.04381987452507019,
-0.00500499876216054,
-0.0010113484458997846,
-0.023448649793863297,
-0.0030084350146353245,
-0.0003311055479571223,
0.03087461367249489,
-0.002186812460422516,
-0.03249695152044296,
0.0034370168577879667,
0.045191336423158646,
-0.017561400309205055,
-0.03555765375494957,
0.018581632524728775,
0.0005733587895520031,
0.05067718029022217,
-0.0056154667399823666,
0.0013118783244863153,
0.007149998564273119,
0.01600596122443676,
0.011197483167052269,
-0.035390403121709824,
-0.03408583998680115,
0.04057519510388374,
0.0024753210600465536,
0.0425487644970417,
-0.018431106582283974,
-0.0062468405812978745,
0.027094731107354164,
0.03746432065963745,
0.028884321451187134,
-0.011573798954486847,
-0.006932571530342102,
0.008442015387117863,
0.04505753517150879,
-0.005184794310480356,
0.03508934751152992,
0.004632864613085985,
0.00726289302110672,
0.009399530477821827,
0.0028077333699911833,
-0.010980055667459965,
-0.027897538617253304,
0.007421782240271568,
0.012869996950030327,
0.0052516949363052845,
-0.028783969581127167,
0.05208209529519081,
0.0015021269209682941,
0.004373624920845032,
-0.01624847576022148,
-0.000539385830052197,
0.018447833135724068,
0.015437306836247444,
0.002552674850448966,
-0.013438652269542217,
-0.02177613601088524,
-0.01251876913011074,
0.00470394641160965,
0.05127928778529167,
0.00803224928677082,
0.015353680588304996,
-0.02028759755194187,
0.012067190371453762,
0.0195851419121027,
0.05683203414082527,
-0.020488299429416656,
0.016457540914416313,
0.0042314608581364155,
-0.016582978889346123,
0.04355227202177048,
0.013731341809034348,
-0.0010583879193291068,
0.016215026378631592,
0.013388476334512234,
0.028131689876317978,
0.020053446292877197,
-0.026927480474114418,
0.01454251166433096,
0.004335993435233831,
-0.028783969581127167,
0.02741250954568386,
0.017778826877474785,
-0.004833566024899483,
-0.023013796657323837,
-0.005059355404227972,
0.002928990637883544,
0.021291106939315796,
0.06930898874998093,
0.017929352819919586,
-0.0028119145426899195,
0.013104149140417576,
-0.05047648027539253,
-0.03729706630110741,
-0.037330519407987595,
-0.011883214116096497,
0.015688184648752213,
0.023732976987957954,
0.04612794145941734,
0.03380151465535164,
-0.00595833221450448,
-0.02839929237961769,
-0.0039074113592505455,
-0.010419763624668121,
-0.0019913373980671167,
-0.007873360998928547,
0.00006872988160466775,
-0.015437306836247444,
0.01878233440220356,
0.00358963361941278,
-0.05639718100428581,
0.010904792696237564,
-0.07225261628627777,
-0.019016487523913383,
-0.011072044260799885,
0.018865961581468582,
0.04425472766160965,
0.05696583539247513,
-0.028566543012857437,
-0.038936130702495575,
0.041612155735492706,
-0.02701110579073429,
-0.04850291460752487,
-0.022060463204979897,
-0.012259529903531075,
-0.02189321257174015,
0.08429472148418427,
-0.03127601742744446,
-0.003804969834163785,
0.023482101038098335,
-0.023766428232192993,
0.015470757149159908,
0.004423800390213728,
0.020421398803591728,
-0.007338156457990408,
0.037363968789577484,
0.021358007565140724,
0.0410100482404232,
0.0008299851906485856,
-0.02605777233839035,
0.026442449539899826,
0.018548183143138885,
0.005665642209351063,
0.028783969581127167,
0.017711926251649857,
-0.045626189559698105,
-0.018180230632424355,
-0.003857236122712493,
-0.01478502620011568,
-0.042515311390161514,
-0.006644062697887421,
-0.007250349503010511,
0.0197356678545475,
-0.05656443163752556,
-0.006710963323712349,
0.023448649793863297,
0.00326140271499753,
-0.01304561085999012,
0.019100112840533257,
0.009717307984828949,
0.0019202554831281304,
0.008249676786363125,
0.007145817391574383,
-0.01569654606282711,
0.04298361763358116,
-0.02276291884481907,
-0.00931590422987938,
-0.016482628881931305,
-0.009600231423974037,
0.026576250791549683,
0.046796947717666626,
-0.03219589963555336,
0.08489682525396347,
-0.01118075754493475,
0.05532677099108696,
-0.030824437737464905,
-0.06121402233839035,
-0.008588360622525215,
0.02214408852159977,
0.000364033185178414,
0.02013707160949707,
0.032614026218652725,
0.034219641238451004,
0.04074244573712349,
0.02177613601088524,
0.04345192015171051,
0.04308396577835083,
-0.009324266575276852,
0.0032133180648088455,
-0.008015524595975876,
0.024686310440301895,
0.029252273961901665,
0.031292740255594254,
0.005356227047741413,
0.041612155735492706,
-0.01871543377637863,
-0.011715962551534176,
0.017812276259064674,
-0.010829529725015163,
-0.027027830481529236,
-0.04305051639676094,
0.003662806237116456,
-0.044856831431388855,
-0.006865670904517174,
-0.0217426847666502,
0.03662806376814842,
-0.040173791348934174,
0.0011655333219096065,
-0.01572999730706215,
0.008120057173073292,
-0.006694238167256117,
0.0020561472047120333,
-0.010854617692530155,
0.014885377138853073,
0.005322776734828949,
-0.0035394583828747272,
0.034587595611810684,
-0.0211238544434309,
-0.02562291920185089,
0.01127274613827467,
-0.016666604205965996,
-0.05091133341193199,
-0.014074207283556461,
0.03025578334927559,
-0.04910501837730408,
0.03830057755112648,
-0.004883741494268179,
-0.015044265426695347,
-0.023013796657323837,
0.0008111693896353245,
0.014868651516735554,
0.012627482414245605,
-0.027161631733179092,
-0.0012407965259626508,
-0.02017052285373211,
0.003679531393572688,
0.006376460660248995,
-0.008814150467514992,
0.04452233016490936,
0.02451905980706215,
-0.03840092569589615,
-0.021257655695080757,
-0.00003759890387300402,
-0.015186429023742676,
0.008396022021770477,
0.02090642787516117,
-0.024017304182052612,
-0.037330519407987595,
0.012050465680658817,
0.0037317974492907524,
0.02149180881679058,
0.001958932261914015,
0.05525987222790718,
0.0638565942645073,
-0.002581943990662694,
-0.006982746999710798,
-0.018213680014014244,
-0.027395782992243767,
0.0014101385604590178,
0.040508296340703964,
-0.0032154086511582136,
0.01853145845234394,
0.00367325940169394,
0.003432835452258587,
-0.004616139456629753,
0.0012261620722711086,
-0.02448560856282711,
-0.004503244534134865,
-0.015520932152867317,
0.026475900784134865,
-0.008630173280835152,
0.05325285345315933,
0.003911592531949282,
0.01693420670926571,
0.02137473225593567,
-0.009382804855704308,
-0.01732724718749523,
0.0020707817748188972,
0.022963620722293854,
0.03876888006925583,
0.0009616956813260913,
-0.016950931400060654,
-0.013672804459929466,
0.006552074570208788,
-0.02068900130689144,
-0.007241986691951752,
0.04034104570746422,
0.022746194154024124,
0.011983565054833889,
-0.01615648716688156,
-0.03408583998680115,
-0.04830221086740494,
0.014801750890910625,
0.08021378517150879,
-0.05813659727573395,
0.0521155446767807,
-0.00908175203949213,
0.006464267615228891,
0.008513097651302814,
0.002065555192530155,
0.0014132745563983917,
-0.03047320991754532,
-0.013003798201680183,
-0.005368770565837622,
0.006660787854343653,
-0.020856251940131187,
0.02762993611395359,
0.0077730100601911545,
0.0015732087194919586,
-0.04141145199537277,
0.0215921588242054,
0.003244677558541298,
-0.027462683618068695,
0.04037449508905411,
-0.04024069383740425,
-0.03856818005442619,
0.0177286509424448,
-0.004189648199826479,
-0.029436251148581505,
0.004896285478025675,
-0.008755612187087536,
0.015989236533641815,
-0.0012481138110160828,
-0.0225120410323143,
-0.03512280061841011,
-0.026944205164909363,
0.0019474338041618466,
-0.008847600780427456,
0.007233624346554279,
-0.014040756970643997,
0.06238478049635887,
-0.004804297350347042,
-0.001826176536269486,
0.002236987929791212,
0.04321776703000069,
0.0035499115474522114,
0.02967040240764618,
0.021792860701680183,
-0.018481282517313957,
-0.07767156511545181,
0.02963695302605629,
-0.04736560210585594,
-0.00397849315777421,
-0.013564090244472027,
-0.008057337254285812,
-0.012686020694673061,
-0.04392022266983986,
0.023264672607183456,
-0.007559764664620161,
0.004122747574001551,
0.0006758003146387637,
-0.0006428726483136415,
0.013129237107932568,
0.02269601821899414,
-0.01594742387533188,
-0.00024382122501265258,
0.029335899278521538,
-0.005209881812334061,
0.003094151383265853,
-0.034587595611810684,
-0.02266256883740425,
0.005820349790155888,
-0.021725960075855255,
0.011013505980372429,
-0.0036418999079614878,
0.006623156368732452,
0.012033740058541298,
0.009658769704401493,
0.015738358721137047,
0.034002214670181274,
0.008128419518470764,
0.012200991623103619,
0.0008284171926788986,
-0.016608066856861115,
0.03662806376814842,
-0.03957168757915497,
-0.022562216967344284,
-0.017879176884889603,
-0.018447833135724068,
-0.020304322242736816,
-0.017101459205150604,
0.06870688498020172,
0.017068007960915565,
0.011239295825362206,
-0.012936897575855255,
-0.0017979528056457639,
-0.0366949625313282,
0.03435344249010086,
-0.00023741862969473004,
-0.024870287626981735,
-0.027730286121368408,
-0.004202192183583975,
0.0005320686032064259,
-0.02137473225593567,
-0.004611958283931017,
0.022461866959929466,
-0.014208008535206318,
0.028817420825362206,
-0.031777769327163696,
-0.02433508262038231,
-0.03274782747030258,
-0.0009752849000506103,
0.02334829978644848,
-0.02985437959432602,
-0.028516368940472603,
-0.003460013773292303,
-0.028114965185523033,
-0.02346537448465824,
0.022528767585754395,
-0.04418782517313957,
0.022394966334104538,
0.016942569985985756,
-0.05184794217348099,
-0.02353227511048317,
0.028449468314647675,
-0.0161899384111166,
-0.0160394124686718,
-0.0022265345323830843,
-0.013714617118239403,
-0.04505753517150879,
0.05412255972623825,
0.008295671083033085,
0.008253857493400574,
-0.009934734553098679,
-0.025271691381931305,
0.008249676786363125,
0.02149180881679058,
0.011013505980372429,
0.06997799873352051,
-0.018514733761548996,
0.03211227431893349,
0.05224934592843056,
-0.014199646189808846,
0.013095786795020103,
0.012945259921252728,
-0.009215553291141987,
0.017628300935029984,
0.026191573590040207,
0.011590523645281792,
0.015111166052520275,
0.013313213363289833,
-0.04736560210585594,
0.04191320762038231,
-0.03756466880440712,
0.0653618574142456,
-0.028265491127967834
] |
ChatGPT is not only fun to chat with, but it also searches information,
answers questions, and gives advice. With consistent moral advice, it might
improve the moral judgment and decisions of users, who often hold contradictory
moral beliefs. Unfortunately, ChatGPT turns out highly inconsistent as a moral
advisor. Nonetheless, it influences users' moral judgment, we find in an
experiment, even if they know they are advised by a chatting bot, and they
underestimate how much they are influenced. Thus, ChatGPT threatens to corrupt
rather than improves users' judgment. These findings raise the question of how
to ensure the responsible use of ChatGPT and similar AI. Transparency is often
touted but seems ineffective. We propose training to improve digital literacy. | [
-0.007912201806902885,
-0.05914294347167015,
-0.030284281820058823,
-0.03798263892531395,
0.04423500970005989,
0.03419455885887146,
-0.06785960495471954,
-0.008309339173138142,
-0.02358385920524597,
0.08627048879861832,
-0.007209573406726122,
0.009678954258561134,
-0.03423529118299484,
0.01199558936059475,
-0.014113656245172024,
-0.010600516572594643,
0.0032916590571403503,
0.014052558690309525,
-0.01542726531624794,
-0.017087096348404884,
-0.0507928691804409,
-0.01984669268131256,
-0.0686742439866066,
0.00007311085209948942,
0.00406811386346817,
0.021078838035464287,
-0.0081718685105443,
-0.011557720601558685,
-0.010488503612577915,
0.06737081706523895,
0.002053149975836277,
0.03462224453687668,
0.0025546634569764137,
-0.07490624487400055,
-0.0042743198573589325,
-0.05323679372668266,
0.008212599903345108,
-0.02826804481446743,
-0.022524826228618622,
0.02445959858596325,
0.0030065346509218216,
0.031037824228405952,
-0.010269569233059883,
-0.006924449000507593,
-0.03283003345131874,
-0.0757208913564682,
-0.006028343923389912,
-0.01989760808646679,
-0.0201114509254694,
-0.006298193708062172,
-0.008905045688152313,
-0.015233787707984447,
0.0658637285232544,
0.045660633593797684,
0.001430713338777423,
0.021363962441682816,
-0.023359833285212517,
-0.0806494653224945,
0.05213702842593193,
-0.04647527262568474,
-0.012820414267480373,
0.05278874188661575,
-0.008360253646969795,
0.0016267363680526614,
-0.017748992890119553,
-0.05425509437918663,
-0.07225866615772247,
0.0562102347612381,
-0.019581934437155724,
-0.0064356643706560135,
-0.0243374016135931,
0.04602722078561783,
-0.011007837951183319,
-0.009943712502717972,
0.002026419620960951,
0.0031796458642929792,
0.0646824985742569,
0.007586345076560974,
-0.008910136297345161,
0.0047834706492722034,
0.059794653207063675,
0.04260572791099548,
0.029836229979991913,
-0.023604225367307663,
0.07967189699411392,
-0.02509094588458538,
0.02525387331843376,
-0.07657626271247864,
0.006405115593224764,
0.05563998594880104,
0.010610699653625488,
-0.01038158219307661,
0.009470202028751373,
-0.011313327588140965,
-0.029265981167554855,
-0.04488672316074371,
-0.041750356554985046,
-0.00961785577237606,
-0.02264702133834362,
0.028227312490344048,
0.035172127187252045,
-0.020254014059901237,
-0.030467575415968895,
0.002278449246659875,
-0.02645546942949295,
0.00440415320917964,
-0.040976446121931076,
-0.01902186870574951,
0.05062994360923767,
0.18182788789272308,
-0.02358385920524597,
0.03042684495449066,
-0.0020366027019917965,
-0.032443080097436905,
-0.025477899238467216,
0.012698217295110226,
-0.0510372631251812,
0.0024324674159288406,
0.02889939211308956,
-0.04912285506725311,
-0.03101745806634426,
0.06313468515872955,
0.0022389900404959917,
-0.032911498099565506,
-0.04120047390460968,
0.01935790851712227,
-0.06439737975597382,
0.0075456127524375916,
0.047493573278188705,
0.03405199572443962,
-0.07445819675922394,
0.04472379386425018,
-0.005218794569373131,
-0.001398891443386674,
0.045986488461494446,
0.0013683424331247807,
0.013319381512701511,
0.04525331035256386,
0.0016980174696072936,
-0.007871469482779503,
-0.015865134075284004,
-0.0015860043931752443,
-0.04590502381324768,
0.018197044730186462,
-0.025640828534960747,
-0.0051347846165299416,
-0.059346601366996765,
0.07050718367099762,
-0.05303313210606575,
0.02718864567577839,
-0.021201033145189285,
-0.039143502712249756,
-0.03566091135144234,
0.006659690756350756,
0.0010666706366464496,
-0.07083304226398468,
0.033216990530490875,
-0.007036462426185608,
-0.03500920161604881,
0.00661895889788866,
-0.0013199731474742293,
-0.003928097430616617,
0.022911779582500458,
-0.002042967127636075,
0.06403078883886337,
0.028919758275151253,
0.05849123001098633,
0.03118038736283779,
-0.05930586904287338,
0.06671910732984543,
-0.023298734799027443,
0.06855204701423645,
-0.03961192071437836,
0.03961192071437836,
0.015366166830062866,
0.015447631478309631,
0.014480245299637318,
0.01733148843050003,
-0.054051436483860016,
-0.002757050795480609,
-0.0538477748632431,
-0.006756429560482502,
0.039734117686748505,
-0.024133741855621338,
-0.027290476486086845,
-0.020243830978870392,
0.08407095819711685,
-0.0005673847626894712,
0.04321670904755592,
-0.005152605008333921,
-0.005778860300779343,
-0.02661839686334133,
0.004256499465554953,
-0.04423500970005989,
-0.009999719448387623,
-0.00368879665620625,
-0.05665828660130501,
-0.009643313474953175,
-0.0359867699444294,
0.014093291014432907,
0.008803214877843857,
-0.0037906267680227757,
0.0055548339150846004,
0.025314971804618835,
0.006568043492734432,
0.021934211254119873,
-0.011690099723637104,
0.023767152801156044,
-0.03372614085674286,
-0.05368484556674957,
0.013706335797905922,
-0.06236077472567558,
-0.007041553966701031,
-0.031037824228405952,
-0.07001840323209763,
-0.013665604405105114,
0.02629254013299942,
-0.0016789243090897799,
-0.0008070038165897131,
0.004019744694232941,
-0.016730690374970436,
0.05246288329362869,
0.03146551176905632,
-0.03804373741149902,
-0.04989676550030708,
-0.017504600808024406,
0.015936415642499924,
0.022545192390680313,
-0.013563773594796658,
0.0026475833728909492,
0.02859390154480934,
0.005320624448359013,
0.00661895889788866,
0.01124204695224762,
-0.004302323330193758,
0.023828251287341118,
-0.006995730102062225,
-0.01589568331837654,
-0.014235852286219597,
-0.0012601478956639767,
-0.05771731957793236,
-0.028390241786837578,
-0.033807605504989624,
-0.012738949619233608,
0.06708569079637527,
0.006756429560482502,
0.022891413420438766,
-0.03327808901667595,
0.018471986055374146,
0.02057987079024315,
-0.04054876044392586,
0.01004045084118843,
0.009134163148701191,
0.004951490089297295,
0.030671237036585808,
0.04908212646842003,
0.09229883551597595,
-0.03435748815536499,
0.04166889190673828,
0.03983594849705696,
0.017952652648091316,
0.04038583114743233,
0.03040647879242897,
0.05380704253911972,
-0.006868442520499229,
-0.024561427533626556,
0.02845134027302265,
-0.010997654870152473,
0.029673300683498383,
0.016140075400471687,
0.01664922758936882,
-0.0005193336983211339,
-0.03236161544919014,
0.016832521185278893,
-0.029225248843431473,
0.0013301561120897532,
-0.002417192794382572,
-0.014378414489328861,
0.008411169052124023,
0.04010070860385895,
0.005692304577678442,
0.02354312688112259,
0.04557916894555092,
0.0035207769833505154,
-0.0008114588563330472,
0.005626115016639233,
-0.024846551939845085,
-0.008706476539373398,
-0.05963172763586044,
0.029856596142053604,
0.0027392306365072727,
-0.006430572830140591,
0.015447631478309631,
-0.019042234867811203,
0.03295223042368889,
-0.0317506343126297,
0.00037963545764796436,
0.05360338091850281,
0.0014803556259721518,
-0.012280713766813278,
-0.0510372631251812,
-0.0378604456782341,
-0.03676067665219307,
0.013706335797905922,
0.011180948466062546,
0.07474331557750702,
0.05999831482768059,
0.06024270877242088,
-0.045823559165000916,
0.029143784195184708,
0.07458039373159409,
0.011832661926746368,
-0.05120019242167473,
0.025640828534960747,
0.04513111710548401,
0.017463868483901024,
0.017412953078746796,
0.016964901238679886,
0.006058893166482449,
-0.015916049480438232,
-0.017015814781188965,
-0.02356349304318428,
-0.012983341701328754,
0.0255186315625906,
-0.031098922714591026,
0.05331825837492943,
0.029306713491678238,
0.007815462537109852,
0.014918114989995956,
-0.018950587138533592,
-0.05682121589779854,
0.02737193927168846,
0.0038669994100928307,
0.028206946328282356,
-0.006318559870123863,
-0.05303313210606575,
-0.013461943715810776,
0.04075241833925247,
0.0047198268584907055,
-0.016119711101055145,
-0.043420370668172836,
0.0005934787332080305,
-0.041424497961997986,
-0.008227874524891376,
-0.037758614867925644,
-0.09213590621948242,
0.006328742951154709,
0.07091450691223145,
-0.012576021254062653,
0.014042375609278679,
0.001466353889554739,
0.01837015710771084,
-0.00695499824360013,
0.03301332890987396,
0.00798348244279623,
0.03223942220211029,
-0.051322389394044876,
-0.022728485986590385,
-0.0024528333451598883,
0.03710690140724182,
0.059509530663490295,
-0.08692220598459244,
-0.037921540439128876,
0.04191328212618828,
-0.0550290048122406,
-0.05914294347167015,
-0.04456086829304695,
0.015417082235217094,
-0.00992334634065628,
-0.03523322567343712,
0.01573275588452816,
0.015233787707984447,
0.0011984134325757623,
0.037188366055488586,
-0.03191356360912323,
0.054784610867500305,
-0.009964078664779663,
-0.009918254800140858,
-0.009118888527154922,
0.030467575415968895,
-0.02015218324959278,
-0.05454022064805031,
0.030325014144182205,
0.012738949619233608,
-0.014459879137575626,
0.03733092546463013,
0.027290476486086845,
0.009887706488370895,
0.022748852148652077,
0.028044018894433975,
-0.022015675902366638,
-0.00003208046837244183,
-0.004192855674773455,
-0.019724497571587563,
0.030610138550400734,
0.04529404267668724,
-0.029693666845560074,
-0.019296810030937195,
0.04199474677443504,
-0.05441802367568016,
0.03327808901667595,
-0.044927455484867096,
0.005030408501625061,
-0.0165779460221529,
0.0031465510837733746,
0.027779260650277138,
-0.034561146050691605,
-0.045986488461494446,
-0.005529376212507486,
-0.0018113035475835204,
-0.0239911787211895,
-0.04940798133611679,
0.008049672469496727,
0.023950448259711266,
-0.002502475632354617,
0.00288688438013196,
0.03297259658575058,
0.0243374016135931,
0.039897046983242035,
-0.04517184570431709,
0.016781605780124664,
0.06855204701423645,
0.06089441850781441,
0.016425199806690216,
-0.028369875624775887,
-0.03022318333387375,
0.026109246537089348,
-0.007209573406726122,
-0.05840976536273956,
-0.03938789665699005,
-0.031689539551734924,
0.042809389531612396,
-0.027779260650277138,
-0.015692023560404778,
0.00691935745999217,
-0.04435720667243004,
-0.0009858430130407214,
0.02920488268136978,
-0.007647443097084761,
0.021995309740304947,
-0.021771281957626343,
-0.0029148876201361418,
0.0015223604859784245,
0.0013607051223516464,
-0.04594575613737106,
-0.004401607438921928,
-0.04301304742693901,
0.02036602608859539,
-0.02995842508971691,
-0.016679776832461357,
-0.05702487379312515,
-0.03494810312986374,
-0.05604730546474457,
-0.03757531940937042,
0.0026832239236682653,
-0.02173055149614811,
0.010437589138746262,
-0.024887284263968468,
0.005967245902866125,
-0.004281957168132067,
-0.0001890221901703626,
0.014826467260718346,
-0.01961248368024826,
-0.006191272288560867,
-0.008828672580420971,
-0.024541063234210014,
-0.014347866177558899,
-0.026699861511588097,
0.013889630325138569,
-0.017901737242937088,
-0.023950448259711266,
-0.026699861511588097,
-0.05775805190205574,
-0.004577264655381441,
0.045049652457237244,
-0.04594575613737106,
-0.01966339908540249,
0.03849178925156593,
0.02920488268136978,
0.02297287806868553,
0.018003568053245544,
0.03170990198850632,
-0.030630504712462425,
-0.032443080097436905,
-0.026557298377156258,
0.0016038246685639024,
0.04606795310974121,
-0.07213646918535233,
-0.005855232942849398,
-0.05971319228410721,
-0.07865359634160995,
-0.032015394419431686,
-0.007963116280734539,
0.015050494112074375,
-0.007535430137068033,
0.008044580928981304,
-0.020182732492685318,
-0.04863407090306282,
-0.022891413420438766,
-0.0035564175341278315,
0.004694369155913591,
-0.02918451651930809,
-0.037799347192049026,
-0.026944253593683243,
-0.012229799292981625,
-0.021404694765806198,
0.00047701052972115576,
-0.010162647813558578,
0.0145820751786232,
-0.002741776406764984,
-0.02885865978896618,
0.016567762941122055,
0.030162084847688675,
-0.02826804481446743,
0.01496902946382761,
0.009358189068734646,
0.008187143132090569,
0.018431253731250763,
0.03834922984242439,
0.0039484635926783085,
-0.0019551385194063187,
0.00017597520491108298,
-0.025640828534960747,
0.004022290464490652,
-0.05278874188661575,
0.031974662095308304,
0.011588268913328648,
-0.00040668409201316535,
-0.043379638344049454,
-0.025579730048775673,
-0.035783108323812485,
0.04953017830848694,
-0.047982357442379,
0.01855345070362091,
-0.004462705459445715,
-0.028980856761336327,
0.06671910732984543,
-0.009312366135418415,
-0.018095213919878006,
0.010330666787922382,
-0.03891947865486145,
0.04724918305873871,
0.014897748827934265,
0.030589772388339043,
0.022382263094186783,
0.007764547597616911,
-0.0024121012538671494,
-0.017199110239744186,
-0.010065908543765545,
0.028044018894433975,
-0.011292961426079273,
0.00871156807988882,
-0.0006612594588659704,
-0.018074849620461464,
-0.0004181399999652058,
-0.02072243206202984,
-0.017861004918813705,
0.010865275748074055,
-0.02095664106309414,
-0.011333693750202656,
0.021791648119688034,
0.005931605119258165,
-0.018869124352931976,
0.012046504765748978,
-0.01199558936059475,
-0.017138011753559113,
0.03696433827280998,
0.05641389265656471,
0.025925952941179276,
0.006048710085451603,
0.005743219517171383,
-0.0009387465543113649,
-0.01991797424852848,
-0.007520155515521765,
0.008889771066606045,
0.04981530085206032,
-0.009297091513872147,
-0.025783389806747437,
-0.02460215985774994,
-0.027575600892305374,
0.001262693665921688,
-0.041098643094301224,
0.008696293458342552,
0.006644416134804487,
0.01754533126950264,
-0.004353238269686699,
-0.030345380306243896,
-0.00035195040982216597,
0.002706135855987668,
-0.02013181708753109,
-0.010814360342919827,
0.02645546942949295,
-0.005722853355109692,
-0.003500410821288824,
-0.04191328212618828,
-0.040976446121931076,
0.006781886797398329,
0.04456086829304695,
0.008070037700235844,
-0.08977344632148743,
0.018960770219564438,
0.03193392977118492,
0.07775749266147614,
0.05254434794187546,
-0.03543688729405403,
-0.009144346229732037,
0.016873253509402275,
0.013584139756858349,
0.007922384887933731,
0.01399146020412445,
-0.001083218026906252,
-0.02013181708753109,
0.04040619730949402,
-0.014032192528247833,
-0.011150399222970009,
-0.05287020653486252,
0.001528724911622703,
0.006827710662037134,
-0.024520697072148323,
-0.017535148188471794,
0.002634854754433036,
-0.023644957691431046,
0.06757447868585587,
0.037453122437000275,
-0.006069075781852007,
0.018349790945649147,
-0.02600741572678089,
-0.03232088312506676,
0.016761239618062973,
0.019622666761279106,
-0.046760398894548416,
0.05026335269212723,
-0.02325800247490406,
-0.03346138074994087,
0.0218731127679348,
-0.027473770081996918,
0.020243830978870392,
0.048389680683612823,
0.007688174955546856,
0.018960770219564438,
-0.04806382209062576,
0.007896927185356617,
-0.03729019686579704,
0.08272679895162582,
-0.00573812797665596,
0.02156762219965458,
0.030793432146310806,
0.0005887054721824825,
0.05413290113210678,
-0.02767742983996868,
-0.037921540439128876,
0.03816593438386917,
0.014897748827934265,
0.020488223060965538,
0.0008025487186387181,
-0.002562300767749548,
0.00865556113421917,
0.0018151220865547657,
0.032300516963005066,
0.016119711101055145,
0.07718724012374878,
-0.02278958447277546,
0.0017298393649980426,
-0.020091084763407707,
0.025925952941179276,
-0.028023652732372284,
0.004218313377350569,
0.004208130296319723,
-0.011374426074326038,
0.054784610867500305,
0.04160779342055321,
0.01063106581568718,
-0.054662417620420456,
0.022891413420438766,
-0.009760417975485325,
-0.03052867390215397,
-0.02158798836171627,
-0.016303004696965218,
-0.0028003286570310593,
0.008548639714717865,
-0.005646480713039637,
-0.006527311634272337,
-0.018359974026679993,
0.0018622186034917831,
-0.009556758217513561,
-0.009699320420622826,
-0.008976326324045658,
0.038084469735622406,
0.03617006540298462,
-0.012484374456107616,
-0.02130286395549774,
0.005539559293538332,
0.01641501672565937,
0.03280967101454735,
0.011486439034342766,
0.017453685402870178,
-0.04085424914956093,
-0.009047606959939003,
-0.0008019123342819512,
-0.05413290113210678,
-0.014235852286219597,
0.024989115074276924,
0.0034622245002537966,
0.027718162164092064,
-0.04240206629037857,
-0.009027241729199886,
0.027595967054367065,
-0.01666959375143051,
0.006476396694779396,
-0.015396716073155403,
-0.019419007003307343,
0.00637965789064765,
-0.009505842812359333,
0.053562652319669724,
-0.04060985893011093,
0.020936274901032448,
0.0531553290784359,
0.022891413420438766,
0.028838293626904488,
0.05930586904287338,
0.022565558552742004,
-0.01308517251163721,
0.01831924170255661,
-0.05026335269212723,
-0.03688287362456322,
0.014918114989995956,
0.03179136663675308,
0.039265699684619904,
0.002810511738061905,
-0.000022891890694154426,
0.0381048358976841,
-0.04619015008211136,
-0.010213562287390232,
-0.021099204197525978,
-0.04014143720269203,
-0.0014956301311030984,
-0.00379826407879591,
0.0456199012696743,
0.0062625533901154995,
-0.06737081706523895,
-0.006807344499975443,
-0.04863407090306282,
-0.008451901376247406,
-0.053725577890872955,
0.014520976692438126,
-0.030915629118680954,
-0.007235031109303236,
0.04362402856349945,
-0.005799225997179747,
0.004493254702538252,
0.048104554414749146,
0.0038593620993196964,
0.05335899069905281,
-0.0012798774987459183,
-0.037005070596933365,
0.004699460696429014,
-0.035497985780239105,
-0.037188366055488586,
0.00847735907882452,
-0.018502535298466682,
-0.015865134075284004,
0.025457533076405525,
0.008070037700235844,
0.020488223060965538,
0.006333834491670132,
0.010906007140874863,
-0.03509066253900528,
0.01306480634957552,
0.021058471873402596,
-0.008126044645905495,
0.00014630125951953232,
-0.014184937812387943,
0.08952905237674713,
-0.03814556822180748,
0.015335618518292904,
0.007846011780202389,
0.027168279513716698,
0.012942610308527946,
-0.05865415558218956,
0.030162084847688675,
-0.056169502437114716,
0.019714314490556717,
-0.03148587793111801,
0.03417419269680977,
0.0025521176867187023,
-0.0005295167211443186,
0.01783045567572117,
-0.05368484556674957,
0.03313552588224411,
0.02036602608859539,
0.006114899646490812,
-0.007209573406726122,
-0.03690323978662491,
0.013400845229625702,
0.005666846875101328,
-0.02857353538274765,
0.0029021587688475847,
0.030345380306243896,
-0.0018303967081010342,
-0.01810539700090885,
0.021689819172024727,
-0.009154529310762882,
0.028695732355117798,
0.024113375693559647,
-0.0009419287671335042,
-0.07787968963384628,
-0.032768938690423965,
0.005514101590961218,
0.01935790851712227,
0.04211694374680519,
0.012677852064371109,
0.020467856898903847,
-0.0013912542490288615,
0.01862473227083683,
-0.009638221934437752,
0.0041343034245073795,
-0.04268719255924225,
0.0014727183151990175,
-0.0026730410754680634,
-0.019816143438220024,
-0.022015675902366638,
0.007540521211922169,
-0.01291206106543541,
0.016801971942186356,
-0.04411281272768974,
-0.010620882734656334,
0.012290896847844124,
-0.007856194861233234,
0.003161825705319643,
0.026251807808876038,
0.004365967120975256,
0.043868422508239746,
-0.017290756106376648,
-0.01239272765815258,
-0.012850962579250336,
0.013156453147530556,
-0.02857353538274765,
-0.04211694374680519,
-0.015366166830062866,
0.012616753578186035,
-0.05673975124955177,
0.002308998256921768,
-0.0018469440983608365,
-0.007810371462255716,
-0.003393489168956876,
-0.023502394556999207,
0.00619636382907629,
-0.017891554161906242,
0.039143502712249756,
-0.0066647822968661785,
0.027718162164092064,
0.015692023560404778,
0.04790089651942253,
0.024357767775654793,
-0.01512177474796772,
-0.00607416732236743,
-0.005514101590961218,
0.04924505203962326,
-0.02784035913646221,
0.016404835507273674,
-0.010793994180858135,
-0.015681840479373932,
0.00004773287582793273,
-0.04329817369580269,
-0.013044440187513828,
-0.07694284617900848,
0.009190169163048267,
-0.06965181231498718,
-0.030630504712462425,
-0.019632849842309952,
0.014857016503810883,
-0.011343876831233501,
-0.0538477748632431,
0.03749385476112366,
-0.004788562189787626,
0.024663258343935013,
0.0022122596856206656,
0.003009080421179533,
-0.008905045688152313,
-0.015702206641435623,
0.008614829741418362,
0.01247419137507677,
-0.024724356830120087,
-0.015569827519357204,
0.025437166914343834,
-0.002450287574902177,
-0.02720901183784008,
-0.007637260016053915,
-0.03576274216175079,
-0.013115720823407173,
0.017606429755687714,
0.02205640636384487,
-0.05506973713636398,
-0.032463446259498596,
0.06399005651473999,
0.046882592141628265,
-0.006430572830140591,
-0.018309058621525764,
-0.018095213919878006,
-0.002792691346257925,
-0.004750375635921955,
0.00035035930341109633,
-0.022158237174153328,
0.0035513259936124086,
-0.005697396118193865,
0.015437448397278786,
0.027881091460585594,
-0.04168925806879997,
0.0507928691804409,
-0.021363962441682816,
-0.04122084006667137,
0.009811333380639553,
-0.014520976692438126,
-0.004724918399006128,
0.020854812115430832,
0.006939723622053862,
0.0008082767017185688,
-0.02570192515850067,
0.04313524439930916,
0.006094533484429121,
0.0037142541259527206,
0.026394370943307877,
0.03523322567343712,
0.0129935247823596,
-0.04160779342055321,
-0.008070037700235844,
-0.019653216004371643,
0.0329318642616272,
-0.016211356967687607,
-0.013553590513765812,
-0.030935995280742645,
-0.005035500042140484,
-0.009709503501653671,
0.04012107104063034,
0.00577376876026392,
-0.023298734799027443,
0.014541342854499817,
0.012535289861261845,
0.0148162841796875,
0.0024108283687382936,
-0.02753486856818199,
0.011007837951183319,
0.0362107940018177,
0.002485928125679493,
0.016404835507273674,
0.013899813406169415,
0.04883773252367973,
0.004758012946695089,
0.03629225865006447,
-0.03507029637694359,
-0.019184798002243042,
0.003589512314647436,
-0.003612424014136195,
0.010926373302936554,
-0.07608747482299805,
0.016801971942186356,
-0.014093291014432907,
-0.02920488268136978,
0.004027382005006075,
0.03529432415962219,
-0.005300258286297321,
0.007306312210857868,
0.028227312490344048,
-0.01991797424852848,
-0.08773684501647949,
0.022158237174153328,
-0.024683624505996704,
0.0039000941906124353,
-0.025742657482624054,
0.03936753049492836,
0.018960770219564438,
-0.010233928449451923,
-0.007856194861233234,
0.009225809946656227,
0.05779878422617912,
0.009424379095435143,
-0.034887004643678665,
0.011802112683653831,
-0.01473482046276331,
0.005758494138717651,
0.04806382209062576,
-0.049041394144296646,
0.004488163162022829,
0.03270784020423889,
0.003808446926996112,
-0.017433319240808487,
0.032015394419431686,
0.03236161544919014,
0.005305349826812744,
0.050833601504564285,
-0.018869124352931976,
0.0003140823100693524,
-0.0359867699444294,
0.014846833422780037,
-0.020895544439554214,
0.03496846929192543,
-0.036414455622434616,
0.006410207133740187,
-0.017209293320775032,
0.0009572032722644508,
-0.023522760719060898,
-0.017015814781188965,
0.022239701822400093,
0.02074279822409153,
0.0004245043674018234,
0.030589772388339043,
0.012576021254062653,
0.0056312065571546555,
-0.026557298377156258,
0.07067011296749115,
0.04517184570431709,
0.005442820489406586,
0.016170624643564224,
-0.0051856995560228825,
-0.009067973122000694,
0.01794246956706047,
-0.032137591391801834,
-0.026231441646814346,
-0.0027799627278000116,
-0.015977147966623306,
0.01946992240846157,
0.012402910739183426,
0.03195429593324661,
-0.029062319546937943
] |
In this article, we propose the Artificial Intelligence Security Taxonomy to
systematize the knowledge of threats, vulnerabilities, and security controls of
machine-learning-based (ML-based) systems. We first classify the damage caused
by attacks against ML-based systems, define ML-specific security, and discuss
its characteristics. Next, we enumerate all relevant assets and stakeholders
and provide a general taxonomy for ML-specific threats. Then, we collect a wide
range of security controls against ML-specific threats through an extensive
review of recent literature. Finally, we classify the vulnerabilities and
controls of an ML-based system in terms of each vulnerable asset in the
system's entire lifecycle. | [
-0.01818225346505642,
0.0034673225600272417,
-0.01996420882642269,
-0.04888550192117691,
0.05229171738028526,
0.01135405246168375,
-0.04891704022884369,
0.0027419247198849916,
0.014452761970460415,
0.06389807909727097,
0.052827879786491394,
-0.017378007993102074,
0.026587404310703278,
-0.012174067087471485,
-0.04254615679383278,
-0.017393777146935463,
0.03201211988925934,
-0.045700058341026306,
-0.02236117422580719,
-0.054089441895484924,
-0.03778376057744026,
0.016636840999126434,
0.002623653272166848,
0.05178709328174591,
-0.011290973983705044,
0.006504925433546305,
-0.005696737673133612,
0.014981040731072426,
-0.05017860233783722,
0.041694603860378265,
0.04156844690442085,
-0.008886123076081276,
-0.031712498515844345,
-0.025373151525855064,
-0.004577102139592171,
-0.029536304995417595,
-0.004478542599827051,
0.12792232632637024,
-0.05068322643637657,
0.05200786516070366,
0.04850703477859497,
-0.03161787986755371,
-0.024127360433340073,
0.04529005289077759,
-0.013411973603069782,
-0.028416668996214867,
-0.06686274707317352,
-0.06799815595149994,
-0.044785428792238235,
0.09051702916622162,
0.018213791772723198,
-0.05323788896203041,
0.03396753966808319,
-0.03223289176821709,
0.0005405987612903118,
0.013877174817025661,
0.0724136233329773,
-0.007711293641477823,
0.04604698717594147,
-0.04159998521208763,
0.024805448949337006,
0.036080654710531235,
0.003142076311632991,
0.014586802572011948,
-0.014515840448439121,
-0.045384667813777924,
0.043176937848329544,
-0.008420921862125397,
0.01610856130719185,
0.020216520875692368,
-0.09669867902994156,
-0.010281724855303764,
-0.004900377243757248,
-0.049547821283340454,
0.013443512842059135,
-0.026240475475788116,
0.0032524627167731524,
0.061501115560531616,
-0.01435814518481493,
-0.007782256696373224,
-0.007707351353019476,
0.06039724871516228,
0.015044119209051132,
-0.007376191206276417,
0.05623409524559975,
0.04655161499977112,
-0.039707642048597336,
-0.05632871389389038,
0.0013956022448837757,
-0.02635086327791214,
-0.04765547811985016,
0.018355717882514,
-0.0029351012781262398,
0.00718695716932416,
-0.017314929515123367,
0.015462011098861694,
-0.022124631330370903,
-0.0429561622440815,
-0.06194266304373741,
-0.0429561622440815,
-0.030277471989393234,
-0.006339345593005419,
-0.008838813751935959,
0.005901741795241833,
-0.0025448056403547525,
-0.043744638562202454,
-0.04740316793322563,
-0.008223802782595158,
-0.04547928646206856,
0.12817463278770447,
-0.02601970173418522,
-0.0016015915898606181,
-0.04711931571364403,
-0.04254615679383278,
0.02344927191734314,
0.01017922256141901,
-0.03111325576901436,
-0.07556752115488052,
-0.07991991192102432,
0.002255040919408202,
-0.0064615593291819096,
-0.0036486720200628042,
0.026445480063557625,
0.012591958977282047,
-0.0497685931622982,
0.0889400765299797,
-0.011330397799611092,
-0.03822530806064606,
-0.019396506249904633,
0.04380771890282631,
-0.011322513222694397,
0.03636450693011284,
0.02272387407720089,
-0.0013059130869805813,
-0.022455791011452675,
0.017535703256726265,
0.005239421967417002,
0.015146620571613312,
0.016999538987874985,
0.00494768563657999,
0.0077231209725141525,
-0.0016173610929399729,
-0.024805448949337006,
0.024221977218985558,
-0.0017376035684719682,
-0.029315531253814697,
0.00926459114998579,
0.05519330874085426,
-0.031129026785492897,
0.020626528188586235,
-0.03090825304389,
0.053521741181612015,
0.02360696718096733,
0.01343562826514244,
0.06292036920785904,
-0.0047072009183466434,
0.015769517049193382,
0.01923881098628044,
0.028779368847608566,
0.0400545708835125,
0.0225661788135767,
-0.04721393436193466,
0.0007879830081947148,
0.05683333799242973,
0.07115206122398376,
-0.021509621292352676,
0.017188772559165955,
0.02947322651743889,
-0.02583046816289425,
0.0483177974820137,
0.006146169267594814,
-0.040653813630342484,
-0.027155106887221336,
0.005901741795241833,
0.006272325292229652,
-0.02020075172185898,
0.010265955701470375,
-0.018040327355265617,
-0.0026512499898672104,
0.028653211891651154,
-0.043713100254535675,
0.02201424539089203,
0.03346291556954384,
0.011850791983306408,
0.019680356606841087,
-0.027360111474990845,
0.017756475135684013,
0.01945958286523819,
0.05235479399561882,
-0.002393024042248726,
-0.012024256400763988,
-0.0008752081776037812,
0.01163790374994278,
-0.013569668866693974,
-0.003983774222433567,
-0.03109748661518097,
-0.016258371993899345,
-0.003069142112508416,
0.03759452700614929,
-0.03418831154704094,
0.005334039218723774,
-0.020957687869668007,
0.024300824850797653,
0.010983468033373356,
0.02674509957432747,
0.0006554205319844186,
-0.002284608781337738,
-0.03891916573047638,
-0.005692795384675264,
-0.003128277836367488,
-0.08092916011810303,
0.034819092601537704,
-0.012505226768553257,
0.03396753966808319,
-0.009643059223890305,
0.0011363908415660262,
0.009225167334079742,
0.014720844104886055,
-0.052985575050115585,
-0.00928036030381918,
0.011890215799212456,
-0.0020017430651932955,
0.036269888281822205,
-0.03106594830751419,
-0.003151932032778859,
-0.06963818520307541,
-0.02072114497423172,
0.011022891849279404,
-0.03702682629227638,
0.016416067257523537,
-0.0003070127859245986,
0.014657765626907349,
0.03437754511833191,
0.0004979717778041959,
0.06351961195468903,
-0.02053191140294075,
0.03248520568013191,
0.03305290639400482,
-0.026208937168121338,
0.001651856815442443,
0.008689003996551037,
-0.036427583545446396,
0.009800754487514496,
-0.03920301795005798,
0.035733725875616074,
-0.021903859451413155,
-0.034629859030246735,
0.03503986448049545,
-0.02505776286125183,
0.05888337641954422,
0.011054431088268757,
-0.0013709623599424958,
0.01927034929394722,
-0.009099011309444904,
-0.033336758613586426,
0.0234335009008646,
0.07783833146095276,
-0.013601208105683327,
-0.015178159810602665,
-0.03125518187880516,
0.06812430918216705,
-0.04475388675928116,
0.0237962007522583,
0.05926184356212616,
-0.03595449775457382,
0.0010437448509037495,
0.05465714633464813,
0.04021226614713669,
-0.0038477620109915733,
-0.04219922795891762,
-0.014350260607898235,
0.011298858560621738,
-0.027565116062760353,
0.009240936487913132,
-0.00727368937805295,
-0.03327368199825287,
0.05604486167430878,
0.07846911251544952,
-0.014113717712461948,
0.02542046085000038,
0.017409546300768852,
-0.06367731094360352,
0.038446079939603806,
-0.008602271787822247,
-0.013885059393942356,
-0.042514618486166,
-0.04579467698931694,
0.019569970667362213,
-0.09442786872386932,
0.013254278339445591,
-0.03215404599905014,
0.029567843303084373,
-0.005897799041122198,
-0.06323575973510742,
0.05229171738028526,
0.049327049404382706,
0.02560969442129135,
0.025530846789479256,
-0.023228498175740242,
-0.06591658294200897,
-0.05326942726969719,
0.013120237737894058,
-0.016479145735502243,
0.04450157657265663,
-0.00495951296761632,
0.014965271577239037,
-0.003833963768556714,
0.061185725033283234,
-0.011590594425797462,
0.023953896015882492,
-0.010463074781000614,
0.019522661343216896,
-0.028826676309108734,
-0.022786950692534447,
-0.009611519984900951,
0.04128459468483925,
0.02160423807799816,
-0.0072973440401256084,
-0.01426352746784687,
0.0055075036361813545,
0.01982228271663189,
0.05585562810301781,
-0.055540237575769424,
0.0014143285807222128,
-0.06389807909727097,
-0.02726549468934536,
-0.007746775168925524,
0.004793933127075434,
-0.09190474450588226,
0.009422286413609982,
-0.0359860360622406,
0.04122151806950569,
-0.08143378049135208,
-0.025704313069581985,
0.005073842126876116,
0.014933732338249683,
0.021872319281101227,
0.029567843303084373,
-0.05749565735459328,
-0.03273751586675644,
-0.0008081877022050321,
-0.036616817116737366,
-0.05197632685303688,
-0.03967610374093056,
-0.01911265403032303,
-0.016494914889335632,
-0.042073071002960205,
0.02073691412806511,
-0.021730393171310425,
0.05128246918320656,
0.00072145537706092,
-0.002992265857756138,
-0.03450370207428932,
-0.0352606400847435,
0.009414401836693287,
-0.012560419738292694,
-0.025593925267457962,
-0.04267231374979019,
0.017851093783974648,
-0.002396966563537717,
0.042293842881917953,
-0.06642120331525803,
-0.03652220219373703,
-0.03270597755908966,
-0.038067612797021866,
0.00954844243824482,
0.02729703299701214,
-0.015793170779943466,
-0.042262304574251175,
0.04434388130903244,
-0.026839718222618103,
0.02819589525461197,
0.029142066836357117,
0.01308081392198801,
-0.028306283056735992,
0.010778464376926422,
0.03343137353658676,
-0.050430912524461746,
-0.0523863360285759,
0.04724547266960144,
-0.00035210372880101204,
0.01034480333328247,
0.025909315794706345,
0.0034397258423268795,
-0.03721605986356735,
-0.005109323188662529,
0.01555662788450718,
-0.026587404310703278,
-0.009879602119326591,
0.04447003826498985,
0.01145655382424593,
0.062447287142276764,
-0.01871841587126255,
-0.07827988266944885,
0.029031680896878242,
0.015398932620882988,
0.0029370724223554134,
-0.02016921155154705,
-0.012103104032576084,
-0.05229171738028526,
-0.006638966500759125,
0.03216981515288353,
0.004478542599827051,
0.02196693606674671,
-0.04166306182742119,
-0.027848966419696808,
-0.0018223647493869066,
-0.034819092601537704,
0.03529217839241028,
-0.05777950957417488,
0.008491884917020798,
0.005050187930464745,
-0.021115383133292198,
-0.025688542053103447,
0.009777100756764412,
-0.004092189483344555,
-0.03869839385151863,
-0.009209398180246353,
-0.04652007296681404,
0.010754810646176338,
-0.01780378445982933,
0.0013197114458307624,
-0.0032366933301091194,
0.004447003826498985,
-0.02583046816289425,
0.0028739944100379944,
0.00585837522521615,
-0.03466139733791351,
0.021115383133292198,
0.010888851247727871,
0.07134129106998444,
-0.004127671010792255,
0.043334633111953735,
-0.01382198091596365,
0.008342074230313301,
0.01578528620302677,
0.0056533715687692165,
-0.007644273340702057,
-0.0013926454121246934,
-0.00467566167935729,
-0.025578156113624573,
0.026618944481015205,
-0.00808187760412693,
0.027770118787884712,
-0.06235266849398613,
-0.047150854021310806,
0.034409087151288986,
-0.014500070363283157,
-0.05639179050922394,
-0.004529793746769428,
-0.0223454050719738,
0.016810305416584015,
-0.06774584203958511,
-0.006504925433546305,
0.03548141196370125,
0.0014094006037339568,
0.031223643571138382,
-0.06642120331525803,
0.006059436593204737,
-0.046236224472522736,
0.06232113018631935,
0.08641695231199265,
-0.04450157657265663,
-0.016952229663729668,
-0.0031736153177917004,
0.006197419948875904,
-0.054625604301691055,
-0.02614585869014263,
-0.007419557776302099,
-0.0028937063179910183,
-0.004584987182170153,
-0.013956022448837757,
0.03841454163193703,
0.048097025603055954,
0.016400298103690147,
0.022392714396119118,
0.01444487739354372,
-0.0038852146826684475,
-0.030971331521868706,
-0.010068836621940136,
0.039707642048597336,
0.047024697065353394,
-0.012063680216670036,
-0.01927034929394722,
-0.0013473080471158028,
0.023039264604449272,
0.03857223689556122,
0.0043169050477445126,
-0.018608029931783676,
-0.03183865547180176,
-0.01815071329474449,
-0.04689854383468628,
0.020658066496253014,
-0.03092402219772339,
0.019853821024298668,
-0.01709415577352047,
-0.004419406875967979,
-0.02251886948943138,
0.06768276542425156,
0.03399907797574997,
-0.03563910722732544,
-0.021683085709810257,
-0.01818225346505642,
0.023039264604449272,
0.038824550807476044,
0.006323575973510742,
-0.017314929515123367,
-0.013664286583662033,
0.042041532695293427,
0.04901165887713432,
-0.011046546511352062,
-0.012552535161376,
0.0069070481695234776,
0.01444487739354372,
0.007013492751866579,
0.02051614038646221,
0.06389807909727097,
-0.026413939893245697,
-0.00021412047499325126,
0.03147595375776291,
0.014026985503733158,
-0.02944168820977211,
0.007912354543805122,
0.02999362163245678,
-0.02452159859240055,
0.009611519984900951,
0.039360713213682175,
-0.0345352403819561,
-0.007754659745842218,
-0.028574364259839058,
-0.005562697071582079,
0.0111727025359869,
-0.03614373132586479,
-0.05106169357895851,
0.0035796803422272205,
0.022392714396119118,
-0.004943743348121643,
0.013088698498904705,
-0.034251391887664795,
-0.0131675461307168,
-0.06938587129116058,
0.03677451238036156,
0.00708839762955904,
-0.013711594976484776,
-0.002357542747631669,
0.01744108460843563,
0.06825046986341476,
-0.009848062880337238,
-0.0009639117051847279,
-0.059671852737665176,
0.0021308560390025377,
-0.0027438958641141653,
-0.009020163677632809,
-0.02217194065451622,
-0.04894857853651047,
0.015911443158984184,
0.006430020555853844,
0.004458830691874027,
0.0024718716740608215,
-0.0021584525238722563,
-0.008815160021185875,
-0.0046165259554982185,
0.00926459114998579,
0.03327368199825287,
0.013577553443610668,
-0.06440270692110062,
-0.007608791813254356,
0.039329174906015396,
0.02781742811203003,
0.02434813417494297,
-0.00889400765299797,
-0.017362236976623535,
-0.016857612878084183,
0.007565425708889961,
-0.009374978020787239,
0.012308107689023018,
-0.00019785815675277263,
-0.044438496232032776,
0.017851093783974648,
0.005058072507381439,
-0.0661688894033432,
0.014302951283752918,
0.007731005549430847,
-0.015146620571613312,
-0.021714624017477036,
-0.013411973603069782,
-0.04068535193800926,
0.029536304995417595,
-0.039360713213682175,
0.001979074440896511,
0.01925458014011383,
0.012552535161376,
-0.019317658618092537,
0.0047702789306640625,
-0.009627290070056915,
0.027044720947742462,
0.03797299787402153,
-0.01942804455757141,
0.06850278377532959,
-0.0028385131154209375,
0.042073071002960205,
-0.00641030864790082,
0.038288384675979614,
0.047687020152807236,
0.011953293345868587,
-0.008641695603728294,
-0.015320085920393467,
0.0018085663905367255,
0.00010398025187896565,
-0.013404089026153088,
-0.022061554715037346,
-0.017031077295541763,
0.03926609829068184,
0.0007810838869772851,
0.03283213451504707,
0.0028109163977205753,
0.03289521113038063,
0.026130089536309242,
0.0056533715687692165,
-0.0024856701493263245,
0.005783470347523689,
0.04620468243956566,
-0.025404691696166992,
-0.0009693324682302773,
-0.007167245261371136,
0.027707040309906006,
0.01389294397085905,
0.04327155277132988,
0.008073992095887661,
-0.0012517053401097655,
-0.043681561946868896,
-0.018276870250701904,
0.0033766478300094604,
-0.048286259174346924,
0.008988624438643456,
0.01017922256141901,
0.038793012499809265,
0.0451323576271534,
0.000767285528127104,
-0.004340559244155884,
0.009122665040194988,
-0.047718558460474014,
-0.03986533731222153,
0.09133704006671906,
-0.0069780112244188786,
0.034409087151288986,
-0.021730393171310425,
-0.04689854383468628,
0.014965271577239037,
0.017724936828017235,
0.005677026230841875,
0.010258070193231106,
-0.02966246008872986,
0.03595449775457382,
0.00016755111573729664,
0.0276439618319273,
0.024584677070379257,
0.007179072592407465,
0.034787554293870926,
-0.03595449775457382,
0.03920301795005798,
0.03403061628341675,
-0.0032840019557625055,
-0.001959362532943487,
0.009706137701869011,
-0.011015007272362709,
0.07834295928478241,
0.02381196990609169,
-0.004537678323686123,
0.033147525042295456,
0.004683546256273985,
-0.0290947575122118,
-0.03926609829068184,
0.04522697255015373,
-0.02255040965974331,
-0.025925084948539734,
0.03330522030591965,
0.062415748834609985,
0.01651068404316902,
-0.006453674752265215,
-0.05235479399561882,
-0.01398756168782711,
-0.0017001510132104158,
0.007139648776501417,
-0.02493160590529442,
-0.007340710144490004,
-0.006958299316465855,
0.014862769283354282,
0.01766185835003853,
-0.04995783045887947,
0.024758141487836838,
0.023575427010655403,
0.01960150897502899,
-0.04071689024567604,
0.02729703299701214,
-0.0020125845912843943,
0.04030688479542732,
-0.009926910512149334,
-0.01490219309926033,
-0.0010831686668097973,
-0.0030336608178913593,
-0.009335554204881191,
-0.05582408979535103,
0.04819164425134659,
-0.0013108410639688373,
-0.00020561971177812666,
0.01742531545460224,
-0.021777702495455742,
-0.023875048384070396,
0.0023614850360900164,
-0.01327793300151825,
0.0012329791206866503,
0.011448669247329235,
0.004379983060061932,
0.07626138627529144,
0.022597717121243477,
0.034598320722579956,
0.05982954800128937,
-0.01908111572265625,
0.01581682451069355,
0.054089441895484924,
0.008042453788220882,
-0.046425458043813705,
-0.029220914468169212,
-0.0541209802031517,
-0.02542046085000038,
-0.024773910641670227,
0.021509621292352676,
-0.027139337733387947,
-0.006859739776700735,
0.02419043891131878,
-0.0305455531924963,
-0.023496579378843307,
0.029488995671272278,
0.03636450693011284,
-0.0031401049345731735,
0.050241678953170776,
0.009643059223890305,
-0.02396966516971588,
0.04365002363920212,
0.017535703256726265,
-0.00612645735964179,
0.0012694461038336158,
-0.07001665234565735,
0.013853520154953003,
0.008137070573866367,
0.014586802572011948,
-0.00005420771412900649,
-0.003431841032579541,
0.04655161499977112,
-0.006504925433546305,
-0.05566639453172684,
0.0724136233329773,
-0.035197559744119644,
0.01135405246168375,
0.004210460931062698,
-0.025120839476585388,
0.05210248380899429,
0.008610156364738941,
0.016431836411356926,
-0.05945107713341713,
0.022282326593995094,
-0.028211666271090508,
0.0446908101439476,
0.058820296078920364,
-0.010147684253752232,
0.03431446850299835,
0.0017169060884043574,
0.011204241774976254,
0.01209521945565939,
0.04983167350292206,
-0.018229560926556587,
0.04961089789867401,
0.007833507843315601,
-0.02579892985522747,
0.016857612878084183,
0.027707040309906006,
-0.0509355403482914,
-0.04557390138506889,
0.017046848312020302,
-0.0034022731706500053,
0.00787293165922165,
-0.029914774000644684,
0.028984371572732925,
-0.022424252703785896,
0.02034267596900463,
0.032989829778671265,
-0.02578316070139408,
-0.004052765667438507,
0.0591987669467926,
-0.018245330080389977,
-0.0006071263924241066,
-0.030829405412077904,
-0.01607702299952507,
0.0374368317425251,
0.01525700744241476,
-0.030608631670475006,
0.018245330080389977,
0.01906534656882286,
-0.0030494302045553923,
0.030056698247790337,
-0.024111591279506683,
0.0017070501344278455,
0.001931765815243125,
-0.010084605775773525,
0.006962241604924202,
-0.045384667813777924,
0.010936159640550613,
-0.0031795287504792213,
0.008192263543605804,
0.01263926737010479,
0.01857648976147175,
-0.021698854863643646,
0.028416668996214867,
0.02091037854552269,
0.015493550337851048,
-0.011196357198059559,
0.02324426732957363,
-0.00649704085662961,
-0.008728427812457085,
0.012647151947021484,
-0.03111325576901436,
-0.029772847890853882,
0.008673233911395073,
-0.024111591279506683,
0.039739180356264114,
0.021935397759079933,
0.018450334668159485,
-0.003964062314480543,
-0.01655799336731434,
-0.0106286546215415,
-0.028858214616775513,
-0.020248059183359146,
0.04289308562874794,
-0.011227895505726337,
0.030419398099184036,
0.0014025013661012053,
-0.0011462467955425382,
-0.02180924080312252,
-0.002706443192437291,
-0.027549345046281815,
0.01154328603297472,
0.0002956784446723759,
0.003471264848485589,
-0.021919628605246544,
-0.0007968533900566399,
-0.016416067257523537,
-0.032453663647174835,
-0.005637602414935827,
0.009185743518173695,
-0.005783470347523689,
-0.00013391769607551396,
0.024111591279506683,
0.049516282975673676,
0.0015887788031250238,
-0.00767975440248847,
0.0004989573499187827,
0.06995357573032379,
0.023528119549155235,
-0.02215617150068283,
-0.0010151626775041223,
-0.006272325292229652,
-0.0014123573200777173,
-0.010565576143562794,
0.008405152708292007,
-0.01018710806965828,
0.0010112202726304531,
-0.026098549365997314,
-0.029173605144023895,
-0.04636237770318985,
0.025341613218188286,
-0.014366029761731625,
0.023922357708215714,
0.042104609310626984,
-0.023386193439364433,
0.017393777146935463,
0.022487331181764603,
0.018418796360492706,
0.005566639360040426,
0.009603635407984257,
-0.02579892985522747,
0.02073691412806511,
0.01536739431321621,
-0.033809844404459,
0.00034323337604291737,
-0.003287944244220853,
-0.02966246008872986,
-0.009579981677234173,
-0.0023496579378843307,
-0.028763597831130028,
-0.03835146501660347,
-0.009650943800807,
-0.01564336009323597,
0.010849427431821823,
0.06430809199810028,
0.021840780973434448,
0.0165422223508358,
0.028243204578757286,
-0.019364966079592705,
-0.03111325576901436,
0.0145473787561059,
-0.011480208486318588,
-0.02381196990609169,
-0.04838087782263756,
-0.0027971179224550724,
0.01723608188331127,
-0.0036289601121097803,
0.0077270632609725,
0.030450936406850815,
0.008594386279582977,
-0.0013611064059659839,
-0.06121726334095001,
-0.03759452700614929,
-0.014484301209449768,
-0.01964881829917431,
0.012962542474269867,
0.0033628493547439575,
-0.041347671300172806,
-0.038982246071100235,
0.056076399981975555,
-0.00012849691847804934,
0.04112689942121506,
-0.03557603061199188,
0.03000939078629017,
-0.024994684383273125,
0.000311201554723084,
-0.035008326172828674,
-0.015690669417381287,
0.028290512040257454,
-0.008215918205678463,
-0.03141287714242935,
0.006599542684853077,
-0.028085509315133095,
0.030782096087932587,
0.002266868017613888,
0.013703710399568081,
-0.026445480063557625,
0.060460325330495834,
-0.040653813630342484,
-0.02598816342651844,
-0.03362061083316803,
0.006970126181840897,
0.02982015535235405,
0.030782096087932587,
0.019191501662135124,
-0.009169974364340305,
0.03797299787402153,
0.006193477660417557,
-0.01906534656882286,
0.07222438603639603,
-0.03649066016077995,
0.0011649730149656534,
0.05506715178489685,
-0.014776037074625492,
-0.07146745175123215,
0.021935397759079933,
-0.022266557440161705,
-0.012528881430625916,
-0.04308231920003891,
0.04705623909831047,
0.0057361614890396595,
0.019301887601614,
-0.033179063349962234,
-0.025546617805957794,
-0.039013784378767014,
0.03727913647890091,
-0.021257309243083,
-0.011078085750341415,
-0.024300824850797653,
0.005688853096216917,
0.008373613469302654,
-0.010053066536784172,
-0.018213791772723198,
-0.004498254507780075,
-0.014129486866295338,
-0.003981803078204393,
0.011393475346267223,
-0.021209999918937683,
0.004017284605652094,
-0.0227081049233675,
0.036711435765028,
0.009832293726503849,
-0.009650943800807,
0.006477328948676586,
-0.03939225152134895,
-0.008089762181043625,
0.023354655131697655,
0.00585837522521615,
-0.026492787525057793,
0.019506892189383507,
0.03708990290760994,
-0.004628353286534548,
-0.03421984985470772,
-0.008310534991323948,
0.003883243538439274,
-0.03399907797574997,
-0.018403025344014168,
-0.028621673583984375,
-0.003437754698097706,
0.012276568450033665,
-0.00025995064061135054,
-0.0031341915018856525,
0.02288156934082508,
0.013285817578434944,
0.013553899712860584,
0.011779828928411007,
0.0729813203215599,
-0.058631062507629395,
0.03412523493170738,
-0.04689854383468628,
-0.009233051910996437,
-0.01363274734467268,
-0.009926910512149334,
0.045006200671195984,
0.04141075164079666,
0.017504163086414337,
-0.002473842818289995,
-0.010959814302623272,
0.0024423038121312857,
-0.03130248934030533,
0.018276870250701904,
0.01815071329474449,
-0.02906321920454502,
-0.0023536004591733217
] |
Integrating human knowledge into neural networks has the potential to improve
their robustness and interpretability. We have developed a novel approach to
integrate knowledge from ontologies into the structure of a Transformer network
which we call ontology pre-training: we train the network to predict membership
in ontology classes as a way to embed the structure of the ontology into the
network, and subsequently fine-tune the network for the particular prediction
task. We apply this approach to a case study in predicting the potential
toxicity of a small molecule based on its molecular structure, a challenging
task for machine learning in life sciences chemistry. Our approach improves on
the state of the art, and moreover has several additional benefits. First, we
are able to show that the model learns to focus attention on more meaningful
chemical groups when making predictions with ontology pre-training than
without, paving a path towards greater robustness and interpretability. Second,
the training time is reduced after ontology pre-training, indicating that the
model is better placed to learn what matters for toxicity prediction with the
ontology pre-training than without. This strategy has general applicability as
a neuro-symbolic approach to embed meaningful semantics into neural networks. | [
-0.01905844919383526,
-0.010498836636543274,
-0.030185149982571602,
-0.024319788441061974,
0.012962606735527515,
-0.01014914084225893,
0.004041376523673534,
0.0049871462397277355,
-0.02554372511804104,
0.0174530241638422,
0.023334281519055367,
-0.03277608007192612,
-0.0054560573771595955,
-0.029072480276226997,
-0.010737266391515732,
-0.004565921146422625,
-0.019980374723672867,
0.0011057158699259162,
-0.025098657235503197,
-0.0012189698172733188,
0.00867087859660387,
-0.005893177818506956,
-0.0181365218013525,
-0.004470549523830414,
0.019424039870500565,
-0.010514732450246811,
0.014711087569594383,
0.03166341036558151,
-0.03196542337536812,
0.07617021352052689,
0.028563831001520157,
-0.011063119396567345,
0.03264891728758812,
0.010935957543551922,
-0.03655916079878807,
-0.027212731540203094,
0.05687333643436432,
0.02945396676659584,
-0.040850888937711716,
0.02513044886291027,
0.02991493046283722,
0.0201870147138834,
-0.009624595753848553,
0.022618992254137993,
0.04104163125157356,
-0.017786825075745583,
0.0064058005809783936,
-0.04116879403591156,
-0.008408606983721256,
-0.018518008291721344,
0.006413748022168875,
-0.03957926481962204,
0.07178311794996262,
-0.024812541902065277,
-0.10153909027576447,
0.0699392631649971,
0.008078779093921185,
0.018215999007225037,
0.05690512806177139,
0.04139132797718048,
-0.03678169474005699,
0.03258533775806427,
-0.04628707468509674,
-0.01470314059406519,
0.07572514563798904,
-0.0349060483276844,
-0.006079947110265493,
-0.038530174642801285,
-0.0036658504977822304,
0.017707349732518196,
-0.022650783881545067,
0.03430202975869179,
-0.020838720723986626,
-0.01837495155632496,
-0.006592570338398218,
-0.008082753047347069,
0.037671830505132675,
0.015935024246573448,
-0.019757840782403946,
0.05487053096294403,
0.041772812604904175,
0.03487426042556763,
0.009449748322367668,
0.05471157655119896,
0.05976627767086029,
-0.05061059445142746,
0.006803182885050774,
-0.044888291507959366,
-0.0175801869481802,
-0.050292689353227615,
-0.056332897394895554,
0.002197523368522525,
-0.05289951339364052,
0.01401964295655489,
-0.0402468666434288,
0.021983182057738304,
-0.006632308475673199,
0.013407674618065357,
-0.0526769794523716,
-0.0028055182192474604,
0.06354935467243195,
-0.04209071770310402,
-0.010141192935407162,
0.046032749116420746,
0.011659192852675915,
-0.01409911923110485,
-0.018851811066269875,
-0.010419360361993313,
-0.0066760205663740635,
0.13072283565998077,
0.02735578827559948,
-0.012120156548917294,
-0.032617129385471344,
-0.008297340013086796,
0.005444135516881943,
-0.058653607964515686,
-0.11336518824100494,
-0.021522218361496925,
0.05270877107977867,
0.0137891611084342,
0.023668082430958748,
0.003842685604467988,
-0.0027002119459211826,
-0.027626007795333862,
-0.028579724952578545,
0.002584971021860838,
-0.02945396676659584,
0.011277706362307072,
-0.011190282180905342,
0.05413934588432312,
-0.006858816370368004,
0.031297821551561356,
0.005762041546404362,
-0.0002980366407427937,
0.038689129054546356,
0.020616186782717705,
0.06726885586977005,
0.027832647785544395,
-0.02462179958820343,
-0.017214596271514893,
-0.011849936097860336,
-0.00702174287289381,
-0.04189997538924217,
-0.02393830195069313,
0.0458420068025589,
0.020949987694621086,
-0.019519412890076637,
0.094418004155159,
-0.01409911923110485,
0.011992993764579296,
-0.035001423209905624,
0.012930816039443016,
-0.0181365218013525,
0.006811130326241255,
0.014091171324253082,
0.03401591256260872,
0.01458392571657896,
0.03137729689478874,
-0.012724176980555058,
-0.002155798254534602,
0.0195670984685421,
-0.03674990311264992,
0.03128192573785782,
0.02729220688343048,
0.08799631148576736,
0.04987940937280655,
0.038307640701532364,
-0.03992896154522896,
-0.06399442255496979,
0.05146893858909607,
-0.012906973250210285,
0.025718573480844498,
-0.006846894975751638,
0.04139132797718048,
-0.026990197598934174,
0.013018240220844746,
0.028675097972154617,
0.00884572695940733,
-0.009084156714379787,
-0.033125776797533035,
-0.0442206896841526,
0.013463308103382587,
0.019598888233304024,
-0.0006482296739704907,
0.023842930793762207,
0.022428249940276146,
0.05830391123890877,
0.004784481134265661,
0.05038806051015854,
0.027037883177399635,
-0.03225153684616089,
-0.009998135268688202,
-0.02422441728413105,
-0.006266716867685318,
-0.0053885020315647125,
-0.04135953634977341,
-0.05286772549152374,
-0.010165035724639893,
-0.012803653255105019,
-0.032903242856264114,
0.01632445864379406,
-0.009561015293002129,
-0.0276419036090374,
-0.021236103028059006,
0.010419360361993313,
0.016403935849666595,
-0.007152879144996405,
-0.016976166516542435,
0.008329130709171295,
-0.027371684089303017,
0.02554372511804104,
-0.10147551447153091,
-0.04492007941007614,
-0.0458420068025589,
-0.02376345358788967,
-0.004701030906289816,
-0.038689129054546356,
-0.021251998841762543,
-0.04275832325220108,
-0.007121088448911905,
-0.011953256092965603,
0.044157106429338455,
0.0592576302587986,
-0.012390376068651676,
0.0391341969370842,
0.01734175719320774,
-0.02473306655883789,
-0.04066014289855957,
0.053249210119247437,
0.033856961876153946,
0.02177654206752777,
0.004132774658501148,
0.06873121857643127,
-0.04577842727303505,
0.004784481134265661,
-0.0011782381916418672,
0.06084715947508812,
-0.09117536246776581,
-0.025559620931744576,
0.008376816287636757,
-0.00710916705429554,
-0.025337086990475655,
0.019805528223514557,
-0.0446021743118763,
0.04294906556606293,
0.008178125135600567,
-0.03446098044514656,
0.0443478487432003,
0.016960270702838898,
0.0699392631649971,
0.026513338088989258,
0.022444145753979683,
0.058717191219329834,
0.01939225010573864,
-0.044157106429338455,
0.012191684916615486,
0.056046780198812485,
-0.027562428265810013,
-0.02905658446252346,
-0.02280973643064499,
0.028929421678185463,
-0.008877517655491829,
0.06380368024110794,
0.06227773427963257,
-0.021283788606524467,
-0.015903234481811523,
0.04275832325220108,
-0.006580648943781853,
0.014170648530125618,
0.06625155359506607,
0.019201505929231644,
-0.025893421843647957,
-0.026370281353592873,
0.0047050048597157,
0.048703160136938095,
-0.07146520912647247,
0.05941658094525337,
-0.013828899711370468,
0.004057271871715784,
0.030900437384843826,
-0.027673695236444473,
-0.07572514563798904,
-0.025623202323913574,
0.04021507501602173,
0.03942031040787697,
-0.02656102366745472,
0.017961673438549042,
0.055252015590667725,
-0.06342219561338425,
-0.04412531480193138,
-0.0027796882204711437,
0.017198700457811356,
-0.059575535356998444,
-0.010737266391515732,
-0.014281915500760078,
0.02126789465546608,
-0.03191773593425751,
-0.012422166764736176,
-0.014655454084277153,
-0.029469862580299377,
-0.09543529897928238,
-0.04679572582244873,
0.024478740990161896,
0.02923143282532692,
-0.00972791574895382,
0.06405800580978394,
0.025162238627672195,
0.08119312673807144,
-0.0131374541670084,
0.04390278086066246,
0.042726531624794006,
0.02746705524623394,
0.017357653006911278,
-0.0151561563834548,
0.016292668879032135,
0.003993690945208073,
0.0047884550876915455,
-0.0537896491587162,
-0.022221611812710762,
-0.02621132880449295,
-0.06822256743907928,
-0.028007496148347855,
-0.09257414937019348,
0.015195894055068493,
-0.001912401639856398,
0.05003836378455162,
0.028516145423054695,
0.038244061172008514,
-0.05471157655119896,
-0.0007828428642824292,
-0.03430202975869179,
0.00938616693019867,
-0.05429830029606819,
0.00992660690099001,
0.04908464476466179,
-0.019090238958597183,
-0.021458636969327927,
0.03234690800309181,
-0.03388874977827072,
-0.03196542337536812,
0.016244983300566673,
0.013852742500603199,
-0.010888271033763885,
-0.009990187361836433,
-0.0010908140102401376,
-0.05480694770812988,
0.01336793601512909,
0.01350304577499628,
-0.023334281519055367,
0.008170177228748798,
0.0007644639699719846,
0.017786825075745583,
-0.018438532948493958,
-0.0182636845856905,
-0.003260520752519369,
0.010896218940615654,
-0.03252175822854042,
-0.0028412824030965567,
0.024351580068469048,
0.026767663657665253,
0.01904255338013172,
-0.05852644518017769,
0.032156165689229965,
0.00020030545420013368,
-0.07051149010658264,
0.03538290783762932,
-0.015148208476603031,
0.002137916162610054,
0.03611409291625023,
-0.007693318650126457,
-0.004228146281093359,
0.01105517242103815,
0.04104163125157356,
0.03042357973754406,
0.043298762291669846,
-0.03643199801445007,
0.02519403025507927,
0.010920061729848385,
-0.031250134110450745,
0.050419848412275314,
-0.012334742583334446,
-0.021585799753665924,
0.015354846604168415,
0.04746332764625549,
-0.014210386201739311,
0.05941658094525337,
0.04752690717577934,
-0.03951568156480789,
-0.09365502744913101,
0.029612919315695763,
-0.003840698627755046,
-0.007685371208935976,
0.028627412393689156,
-0.06587006896734238,
0.05334458127617836,
0.023445548489689827,
-0.0174530241638422,
0.025114553049206734,
0.035287536680698395,
-0.0018994867568835616,
-0.029660604894161224,
-0.00644156476482749,
0.02854793518781662,
-0.04412531480193138,
0.01638804003596306,
-0.005392475984990597,
-0.026767663657665253,
-0.03042357973754406,
0.019312772899866104,
0.026290804147720337,
-0.03177467733621597,
-0.026799453422427177,
0.0063064550049602985,
-0.044792916625738144,
-0.003222769359126687,
0.029183747246861458,
-0.024208521470427513,
-0.01575222983956337,
0.015831705182790756,
0.04151849076151848,
-0.0004482967488002032,
-0.009855077601969242,
-0.026640500873327255,
0.014949517324566841,
-0.008694722317159176,
-0.032903242856264114,
-0.03388874977827072,
-0.0038923583924770355,
0.008178125135600567,
-0.011555873788893223,
0.03252175822854042,
-0.006672046612948179,
0.0158078633248806,
-0.014655454084277153,
-0.06456665694713593,
-0.006509120110422373,
0.030121568590402603,
0.01398785226047039,
-0.02377934940159321,
0.01824778877198696,
-0.02821413427591324,
-0.01939225010573864,
-0.025257611647248268,
-0.03617767244577408,
-0.024319788441061974,
-0.008094674907624722,
0.0037115495651960373,
-0.015672752633690834,
0.012072470039129257,
0.011563820764422417,
-0.016753632575273514,
0.014655454084277153,
-0.05671438202261925,
-0.0402468666434288,
0.037163179367780685,
0.015728386119008064,
0.0202505961060524,
-0.024097254499793053,
0.03690885752439499,
-0.05048343166708946,
0.0069780307821929455,
-0.001903460593894124,
-0.02808697149157524,
0.004681162070482969,
0.001445477595552802,
0.003429408185184002,
-0.047685861587524414,
-0.028166448697447777,
0.016070134937763214,
0.04889390245079994,
0.036718111485242844,
0.0012070483062416315,
-0.009052366018295288,
-0.011834041215479374,
0.003423447487875819,
-0.01322487834841013,
0.033856961876153946,
-0.03620946407318115,
0.009648439474403858,
0.017961673438549042,
0.021458636969327927,
0.00864703580737114,
0.003292311215773225,
-0.025448353961110115,
-0.040342237800359726,
0.024367474019527435,
0.01424217689782381,
0.009115947410464287,
0.06466202437877655,
-0.03837122395634651,
-0.032553546130657196,
-0.05522022768855095,
-0.008090700954198837,
-0.007987381890416145,
0.05204116925597191,
-0.03570081293582916,
-0.018120627850294113,
0.006723706144839525,
0.07108372449874878,
0.01654699444770813,
-0.012310899794101715,
-0.03309398889541626,
0.03706780821084976,
0.04123237356543541,
0.010014031082391739,
-0.008178125135600567,
0.022158030420541763,
0.0017296059522777796,
0.046096332371234894,
-0.012231423519551754,
-0.0036241253837943077,
-0.07051149010658264,
-0.0033618530724197626,
-0.0007128042634576559,
-0.005948811303824186,
0.0309322290122509,
0.028452564030885696,
-0.0038466593250632286,
0.027832647785544395,
0.008257601410150528,
0.015760177746415138,
-0.03299861401319504,
-0.0087583027780056,
0.008853674866259098,
-0.08023940771818161,
0.04755869880318642,
0.026799453422427177,
-0.02155400812625885,
-0.00844834465533495,
-0.035351116210222244,
-0.050992079079151154,
-0.005865360610187054,
-0.03423844650387764,
0.008225810714066029,
0.019153820350766182,
0.0007108173449523747,
0.033634427934885025,
-0.03299861401319504,
0.00718069588765502,
-0.007303884252905846,
-0.04263116046786308,
0.05480694770812988,
-0.03729034215211868,
-0.030057987198233604,
0.007554234936833382,
0.0011166438926011324,
0.10662558674812317,
-0.05220012366771698,
-0.013542784377932549,
-0.0014017656212672591,
-0.01407527644187212,
0.03697243705391884,
0.022762050852179527,
0.017898092046380043,
0.011126700788736343,
-0.07496216893196106,
0.008496031165122986,
0.0018170300172641873,
-0.04383920133113861,
0.011516135185956955,
0.024542322382330894,
-0.002380319172516465,
-0.018756438046693802,
-0.0012428127229213715,
0.009052366018295288,
-0.06078357622027397,
0.04275832325220108,
0.024748962372541428,
0.03315756842494011,
0.03541469946503639,
0.03376159071922302,
0.012787758372724056,
-0.03690885752439499,
0.042853694409132004,
0.010212722234427929,
0.03013746440410614,
0.04158207029104233,
-0.03598693013191223,
0.029930824413895607,
-0.020743349567055702,
-0.016451621428132057,
-0.035510070621967316,
-0.03144087642431259,
0.0003782581479754299,
-0.013463308103382587,
-0.01773913949728012,
-0.029199641197919846,
-0.06071999669075012,
-0.021681170910596848,
-0.01484619826078415,
-0.0027618061285465956,
0.02053671143949032,
0.04628707468509674,
-0.045683056116104126,
-0.0188836008310318,
0.00830528698861599,
0.013057977892458439,
0.004804350435733795,
0.05585603788495064,
-0.06208699196577072,
-0.024939704686403275,
0.03878450021147728,
0.005312999710440636,
0.02155400812625885,
-0.005817675031721592,
0.018740542232990265,
-0.022253401577472687,
0.01430575828999281,
0.027037883177399635,
0.011158491484820843,
0.015648910775780678,
-0.03048715926706791,
0.005396449938416481,
-0.035446491092443466,
0.016864899545907974,
0.03970642760396004,
0.015315108932554722,
-0.021569903939962387,
-0.01654699444770813,
0.015593276359140873,
0.04374383017420769,
-0.0033876830711960793,
0.032903242856264114,
-0.002612787764519453,
0.02792801894247532,
0.03684527426958084,
0.026751767843961716,
-0.0016948349075391889,
-0.019598888233304024,
-0.01802525483071804,
-0.04399815574288368,
-0.016626469790935516,
-0.026131851598620415,
-0.01786630228161812,
0.038466595113277435,
-0.042503997683525085,
0.02228519134223461,
0.05579245835542679,
0.02570267952978611,
0.02131558023393154,
-0.06784108281135559,
0.029199641197919846,
-0.005861387122422457,
-0.002001812681555748,
0.007653580512851477,
0.00776087399572134,
0.03452456369996071,
-0.02241235412657261,
0.03436560928821564,
0.0003722974215634167,
0.00850397814065218,
0.017500711604952812,
-0.019249191507697105,
0.036082301288843155,
0.006211083382368088,
-0.007717161905020475,
-0.0308686476200819,
0.019074345007538795,
-0.030852751806378365,
0.01996448077261448,
0.007788690738379955,
0.03643199801445007,
-0.012763915583491325,
0.030677903443574905,
0.0168331079185009,
-0.04806734621524811,
0.004557973705232143,
0.004232120234519243,
0.010411412455141544,
0.008019172586500645,
0.0634857788681984,
-0.008027119562029839,
-0.05363069847226143,
0.04787660390138626,
0.035510070621967316,
-0.014687244780361652,
-0.018295474350452423,
0.03531932830810547,
-0.0337933786213398,
0.0013769292272627354,
-0.025066867470741272,
0.006191214080899954,
-0.023191222921013832,
-0.019360458478331566,
0.018009360879659653,
0.004553999751806259,
-0.0005002047982998192,
0.0012785771396011114,
-0.03325293958187103,
0.027848541736602783,
0.00425198907032609,
-0.02160169556736946,
-0.016737736761569977,
0.005996496882289648,
0.003097594017162919,
0.03293503448367119,
-0.01678542234003544,
-0.04418889805674553,
0.047336164861917496,
-0.020743349567055702,
-0.017198700457811356,
0.02803928591310978,
0.0032029002904891968,
0.00770524051040411,
0.008631140924990177,
-0.004474523011595011,
0.021585799753665924,
-0.03163162246346474,
-0.00032535663922317326,
-0.014655454084277153,
0.0087900934740901,
0.039547473192214966,
-0.002604840090498328,
0.0079039316624403,
0.03484246879816055,
0.010697527788579464,
0.007081350311636925,
0.031361401081085205,
-0.0008633127436041832,
0.008217863738536835,
-0.01487004105001688,
0.0052573662251234055,
-0.00904441811144352,
-0.036654531955718994,
-0.00946564320474863,
-0.011730721220374107,
0.00522954948246479,
0.02382703498005867,
0.013852742500603199,
0.00850397814065218,
0.05067417398095131,
0.010967748239636421,
0.015227684751152992,
0.0175166055560112,
0.007319779600948095,
-0.04123237356543541,
-0.03360263630747795,
0.022730259224772453,
-0.008003276772797108,
-0.0033737746998667717,
0.03398412466049194,
0.007923800498247147,
0.006437591277062893,
-0.025734469294548035,
0.001158369006589055,
0.04463396593928337,
-0.01638804003596306,
0.012962606735527515,
-0.01932866871356964,
0.031091181561350822,
0.059957023710012436,
-0.05798600614070892,
0.00274988473393023,
-0.012287057004868984,
-0.0068270256742835045,
-0.004812297876924276,
-0.005213654134422541,
-0.002656499855220318,
-0.02325480431318283,
-0.03271250054240227,
-0.02400188334286213,
-0.007411177270114422,
-0.005595141090452671,
0.06097431853413582,
0.07159236818552017,
-0.005813701078295708,
-0.03907061368227005,
0.016221139580011368,
0.005082517862319946,
-0.011865831911563873,
0.02644975669682026,
-0.04914822801947594,
0.07260967046022415,
-0.04771764948964119,
0.019885003566741943,
0.012795706279575825,
-0.049211807548999786,
-0.008686774410307407,
-0.02576625905930996,
0.043934572488069534,
0.006135580595582724,
0.035065002739429474,
0.003709562588483095,
0.01699206233024597,
0.00893315114080906,
0.0035883609671145678,
0.03754466772079468,
-0.04670035094022751,
-0.030344102531671524,
-0.00229686894454062,
-0.019773736596107483,
-0.038307640701532364,
0.036590948700904846,
0.02865920215845108,
0.04209071770310402,
0.019948584958910942,
-0.0010788926156237721,
0.006266716867685318,
0.025035075843334198,
-0.051437146961688995,
0.036527369171381,
-0.0075979470275342464,
0.019821422174572945,
0.05372606962919235,
-0.02780085615813732,
-0.029787767678499222,
-0.017993465065956116,
-0.02854793518781662,
0.020838720723986626,
-0.023286595940589905,
0.021856019273400307,
0.019646573811769485,
-0.004629502072930336,
0.014464710839092731,
0.032505862414836884,
-0.0565236397087574,
-0.03840301185846329,
0.015283318236470222,
0.0009631550638005137,
0.00952922459691763,
0.016705946996808052,
-0.021283788606524467,
0.00913184229284525,
-0.03411128371953964,
-0.005642826668918133,
-0.029946720227599144,
0.03245817497372627,
0.016912585124373436,
-0.00388043699786067,
-0.0011643297038972378,
0.012342690490186214,
-0.012072470039129257,
-0.0007823461201041937,
-0.00256708892993629,
-0.009274899959564209,
0.06412158906459808,
0.031250134110450745,
-0.03840301185846329,
0.0029823530931025743,
0.026592815294861794,
-0.06815899163484573,
0.012342690490186214,
-0.02122020721435547,
-0.012859286740422249,
-0.014734931290149689,
0.031695201992988586,
-0.014909778721630573,
-0.03735392540693283,
0.017548397183418274,
0.033348310738801956,
-0.006024313624948263,
-0.02592521347105503,
0.01904255338013172,
0.02365218661725521,
0.02036186307668686,
0.030042091384530067,
0.04482470825314522,
0.05903509631752968,
0.020902302116155624,
-0.015028993599116802,
0.005479900166392326,
-0.0025730496272444725,
0.0041367486119270325,
-0.03309398889541626,
0.006445538718253374,
-0.0042877537198364735,
0.01359046995639801,
-0.02455821819603443,
-0.015553537756204605,
-0.030789170414209366,
0.000023330680051003583,
0.00710916705429554,
-0.06262742727994919,
0.04132774472236633,
0.017151014879345894,
0.015187946148216724,
-0.012374481186270714,
-0.025623202323913574,
-0.008265549317002296,
-0.00776087399572134,
0.02724452130496502,
0.002549206605181098,
0.00847218744456768,
0.00929874274879694,
0.0526769794523716,
0.0055077169090509415,
0.014854145236313343,
-0.0038367249071598053,
-0.0023723714984953403,
-0.04666856303811073,
-0.0446021743118763,
0.03458814322948456,
-0.0037214839830994606,
-0.03121834248304367,
0.011595611460506916,
0.04851241409778595,
0.036082301288843155,
0.0201234333217144,
-0.01905844919383526,
0.010872376151382923,
0.03741750493645668,
-0.02417673170566559,
-0.03318936005234718,
-0.047336164861917496,
0.025337086990475655,
-0.022587202489376068,
0.011412816122174263,
-0.013892481103539467,
0.013979904353618622,
-0.009449748322367668,
-0.025400668382644653,
0.002505494514480233,
0.01085648126900196,
-0.012930816039443016,
-0.00983918271958828,
0.021236103028059006,
0.028277715668082237,
-0.010610103607177734,
0.02212623879313469,
0.0006184260128065944,
-0.0055554029531776905,
0.020202908664941788,
0.013995800167322159,
0.06637872010469437,
-0.02069566398859024,
0.008551664650440216,
-0.0038744760677218437,
0.023159433156251907,
0.010840585455298424,
-0.029994405806064606,
-0.015791967511177063,
0.028929421678185463,
-0.0262749083340168,
0.04749511554837227,
0.040850888937711716,
-0.01904255338013172,
0.07845913618803024,
-0.02673587203025818,
-0.035287536680698395,
0.010157087817788124,
-0.028818154707551003,
0.015561485663056374,
0.00006407787441276014,
0.02781675197184086,
-0.011905569583177567,
-0.052740562707185745,
0.01824778877198696,
0.036590948700904846,
-0.02883405052125454,
0.01603834517300129,
-0.02508276328444481,
0.0321720615029335,
0.020457234233617783,
0.004856009967625141,
-0.04781302437186241,
0.030979914590716362,
0.009966344572603703,
-0.0011007486609742045,
-0.03099580854177475,
0.02336607128381729,
0.038689129054546356,
0.025289401412010193,
-0.03411128371953964,
-0.028166448697447777,
-0.02632259577512741,
0.005098413210362196,
-0.009505381807684898,
-0.04975224658846855,
-0.02285742200911045,
0.021919600665569305,
-0.010959800332784653,
0.013352041132748127,
0.03344368189573288,
0.0044864448718726635,
0.004641423933207989,
-0.011118752881884575,
0.006401826627552509,
0.0051858373917639256,
0.008821884170174599,
-0.011396920308470726,
0.05747735872864723,
-0.01756429113447666,
0.009958397597074509,
-0.0023207119666039944,
-0.03104349598288536,
-0.031933631747961044,
0.011969150975346565,
-0.010451151058077812,
-0.04647781699895859,
0.020107537508010864,
0.0539168119430542,
0.03757645934820175,
0.022205715999007225,
0.0008727505919523537,
-0.029183747246861458,
0.002072348026558757,
-0.004804350435733795,
-0.02621132880449295,
0.04504724219441414,
-0.023445548489689827,
-0.011325391940772533,
-0.012819549068808556,
-0.013034135103225708,
0.04975224658846855,
0.01503694150596857,
0.024144940078258514,
0.04514261335134506,
-0.04240862652659416,
-0.04107342287898064,
-0.0004656822420656681,
0.04698646813631058,
0.03856196627020836,
-0.010339884087443352,
0.03655916079878807,
-0.011285653337836266,
0.0022193794138729572,
0.021347369998693466,
-0.017500711604952812,
-0.03595513850450516,
-0.029247328639030457,
0.023223014548420906,
-0.04167744144797325,
-0.022587202489376068,
-0.002350515453144908
] |
Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms
primarily used in Bayesian statistics to sample from a target distribution when
direct sampling is challenging. Existing work on Bayesian decision trees uses
MCMC. Unfortunately, this can be slow, especially when considering large
volumes of data. It is hard to parallelise the accept-reject component of the
MCMC. None-the-less, we propose two methods for exploiting parallelism in the
MCMC: in the first, we replace the MCMC with another numerical Bayesian
approach, the Sequential Monte Carlo (SMC) sampler, which has the appealing
property that it is an inherently parallel algorithm; in the second, we
consider data partitioning. Both methods use multi-core processing with a
HighPerformance Computing (HPC) resource. We test the two methods in various
study settings to determine which method is the most beneficial for each test
case. Experiments show that data partitioning has limited utility in the
settings we consider and that the use of the SMC sampler can improve run-time
(compared to the sequential implementation) by up to a factor of 343. | [
-0.015473651699721813,
0.01108409371227026,
-0.05377667769789696,
-0.044005777686834335,
-0.006299658678472042,
0.009192358702421188,
-0.0769917443394661,
0.028890270739793777,
-0.024151751771569252,
0.06575153768062592,
0.01216770801693201,
-0.0503605380654335,
0.019707094877958298,
0.021158037707209587,
0.00459158793091774,
-0.03834894299507141,
0.013361521065235138,
0.02459254488348961,
0.016529716551303864,
-0.015005309134721756,
-0.014729813672602177,
0.03678780421614647,
-0.04161815345287323,
0.053850144147872925,
0.024794574826955795,
0.03351859375834465,
0.01577669568359852,
-0.03383082151412964,
-0.05340934917330742,
0.04811984300613403,
-0.0037972431164234877,
0.012645233422517776,
-0.03732042759656906,
-0.04452003538608551,
-0.004890040960162878,
-0.014546150341629982,
0.01764088124036789,
-0.047274988144636154,
-0.0037100031040608883,
-0.008949005044996738,
-0.027072003111243248,
-0.001159375999122858,
0.012920728884637356,
-0.005803767126053572,
-0.0016208305023610592,
0.03812854737043381,
-0.027163833379745483,
-0.015216522850096226,
0.011120826005935669,
0.03665923699736595,
0.01902754046022892,
-0.0024128793738782406,
0.021433532238006592,
0.0031108008697628975,
-0.01775107905268669,
0.030010618269443512,
0.012681965716183186,
0.0776529386639595,
0.047568850219249725,
0.06244559586048126,
0.023747693747282028,
0.05069113150238991,
0.004766068421304226,
0.005913965404033661,
-0.0014853787142783403,
-0.053482815623283386,
0.0000865944821271114,
0.01075349934399128,
0.07500818371772766,
-0.06935134530067444,
-0.07284095138311386,
-0.0032600273843854666,
-0.0025712891947478056,
0.038863200694322586,
0.037908151745796204,
-0.0013108983403071761,
0.030065717175602913,
-0.0022992377635091543,
-0.027108734473586082,
0.06384143978357315,
0.05164618045091629,
0.008737792260944843,
-0.0583682656288147,
0.0052757347002625465,
0.034822601824998856,
-0.02876170724630356,
0.014950210228562355,
-0.06641272455453873,
0.006933297961950302,
0.0006520054885186255,
-0.06957174092531204,
-0.0005550081841647625,
0.03537359461188316,
0.025235367938876152,
-0.03184725344181061,
0.004534193314611912,
0.012782980687916279,
0.017016425728797913,
-0.039781518280506134,
-0.004492868669331074,
0.038753002882003784,
0.008191392756998539,
0.03636537492275238,
0.0050048306584358215,
-0.005546638276427984,
-0.03278393670916557,
-0.05182984471321106,
-0.005620103795081377,
0.022811008617281914,
0.10454127192497253,
-0.006070079281926155,
-0.00253685237839818,
0.022994672879576683,
-0.013361521065235138,
-0.07574283331632614,
-0.00870105903595686,
0.02169066108763218,
-0.06755144149065018,
-0.009169400669634342,
-0.057486679404973984,
-0.015225705690681934,
0.09653354436159134,
-0.024996604770421982,
-0.02047848142683506,
-0.006529238075017929,
0.0074751051142811775,
-0.007782741449773312,
-0.024610910564661026,
0.011561618186533451,
-0.016639914363622665,
-0.014821645803749561,
-0.03353695943951607,
-0.040369242429733276,
-0.023747693747282028,
0.013453352265059948,
0.004208190366625786,
0.04514449089765549,
0.013664565980434418,
0.020974373444914818,
-0.051793113350868225,
-0.0302126482129097,
-0.07890184968709946,
0.015446102246642113,
-0.062372129410505295,
0.024206852540373802,
-0.0029340246692299843,
-0.06902074813842773,
0.08279551565647125,
-0.0439690463244915,
0.05733975023031235,
0.0033266055397689342,
0.04885449633002281,
0.011350405402481556,
0.049552418291568756,
0.01933976821601391,
0.03171868994832039,
-0.006400673650205135,
-0.031149333342909813,
-0.027255665510892868,
-0.06211500242352486,
-0.000006125106665422209,
0.03399611636996269,
-0.0037467358633875847,
0.10512899607419968,
0.039781518280506134,
0.045401621609926224,
-0.0066532110795378685,
-0.04283033311367035,
-0.0874973013997078,
0.02918413281440735,
-0.04510775953531265,
0.008733199909329414,
0.025400664657354355,
0.05274816229939461,
-0.01998259127140045,
0.059470247477293015,
0.03206764906644821,
-0.021286601200699806,
0.0025644018314778805,
-0.010799414478242397,
-0.05539291724562645,
0.010358622297644615,
0.05194004252552986,
0.04132429137825966,
0.08125273883342743,
-0.015143057331442833,
0.047274988144636154,
0.029826955869793892,
0.034583840519189835,
-0.02446398138999939,
0.022315116599202156,
0.02119476906955242,
0.05634796619415283,
0.017080707475543022,
0.017925558611750603,
0.018017390742897987,
-0.07779986411333084,
-0.01594199240207672,
0.013242139481008053,
-0.017907192930579185,
-0.041471220552921295,
-0.04951568320393562,
-0.04246300458908081,
0.012727881781756878,
0.0608660914003849,
-0.010432087816298008,
-0.01017495896667242,
-0.031149333342909813,
0.019670363515615463,
-0.00038856311584822834,
0.03656740486621857,
-0.020809076726436615,
-0.06318025290966034,
-0.02047848142683506,
-0.018191872164607048,
-0.020882541313767433,
0.02332526631653309,
0.06347411125898361,
-0.0017000354127958417,
0.008838807232677937,
0.05884579196572304,
-0.0416916199028492,
0.014775729738175869,
-0.06005797162652016,
-0.022498780861496925,
0.046723999083042145,
0.0104780038818717,
0.005661427974700928,
0.0034253245685249567,
0.020643780007958412,
0.036163344979286194,
0.059102918952703476,
0.005638469941914082,
-0.016520533710718155,
0.027714824303984642,
-0.05032380297780037,
0.034694038331508636,
-0.02519863471388817,
-0.013985976576805115,
0.04620974138379097,
-0.006295067258179188,
0.025455763563513756,
-0.03414304926991463,
0.013398253358900547,
0.03662250563502312,
0.03496953472495079,
-0.013517634943127632,
0.01208505965769291,
-0.02567615918815136,
0.01534508727490902,
-0.018513282760977745,
-0.027200566604733467,
0.0017677613068372011,
0.01757659949362278,
-0.02246204763650894,
-0.01540018618106842,
-0.007479696534574032,
-0.02102947235107422,
0.037412259727716446,
-0.07500818371772766,
0.03945092484354973,
0.009431121870875359,
-0.020643780007958412,
0.009458671323955059,
0.01214015856385231,
0.05171964690089226,
0.0686534196138382,
0.011047360487282276,
-0.03043304570019245,
0.008379648439586163,
-0.029147399589419365,
-0.029331063851714134,
0.0070159463211894035,
-0.03860606998205185,
0.038202010095119476,
-0.06244559586048126,
0.02549249678850174,
-0.007718459237366915,
0.027402596548199654,
0.05583370849490166,
-0.036383744329214096,
0.028100518509745598,
-0.013673748821020126,
0.06174767389893532,
0.03056160919368267,
-0.036824535578489304,
-0.027108734473586082,
-0.011276939883828163,
-0.044850632548332214,
0.0032600273843854666,
-0.028339281678199768,
-0.04275686666369438,
0.027512794360518456,
-0.027586260810494423,
0.031020767986774445,
-0.011552435345947742,
-0.052086975425481796,
0.03261864185333252,
0.05498885735869408,
0.02953309379518032,
-0.02749442867934704,
0.004825758747756481,
0.047752514481544495,
0.03111260011792183,
0.019413234665989876,
0.033849187195301056,
0.032104384154081345,
0.05032380297780037,
-0.01769598014652729,
-0.04650360345840454,
-0.013618649914860725,
0.0011800380889326334,
0.0038844833616167307,
0.028155617415905,
0.005358383059501648,
0.04463023319840431,
0.053372617810964584,
-0.001999636646360159,
-0.05587044358253479,
-0.04323439300060272,
0.04977281391620636,
0.0396345853805542,
-0.11321019381284714,
-0.02060704678297043,
0.0029110668692737818,
0.020129522308707237,
-0.047385185956954956,
0.07328174263238907,
-0.0627027228474617,
0.0036365375854074955,
-0.016768479719758034,
-0.04301399737596512,
-0.009770899079740047,
-0.01782454364001751,
-0.03537359461188316,
-0.02259061299264431,
-0.023343633860349655,
0.01549201738089323,
-0.015730779618024826,
0.009633151814341545,
-0.027678092941641808,
-0.018880609422922134,
0.010560652241110802,
-0.0028651508037000895,
-0.016024641692638397,
-0.0018584452336654067,
-0.03181052207946777,
0.011919762007892132,
0.033977750688791275,
-0.00023833211162127554,
0.0008810109575279057,
-0.0030763638205826283,
0.042977262288331985,
-0.00040721645927987993,
0.029937153682112694,
-0.0020042280666530132,
-0.023086505010724068,
-0.0028812214732170105,
-0.029698390513658524,
-0.015308354049921036,
0.02282937429845333,
-0.07846105098724365,
-0.026227150112390518,
0.008526578545570374,
0.01247075293213129,
0.059470247477293015,
-0.014904294162988663,
0.005381341092288494,
0.003976315259933472,
-0.018917342647910118,
0.003925807774066925,
0.008737792260944843,
0.012158525176346302,
0.0030488143675029278,
-0.029551459476351738,
-0.005115028936415911,
0.01438085362315178,
0.02391299046576023,
-0.020037690177559853,
0.01921120472252369,
-0.0018618889153003693,
0.040920231491327286,
0.0210111066699028,
-0.007603669539093971,
-0.046723999083042145,
0.0018974737031385303,
0.04132429137825966,
-0.05021360516548157,
-0.031002402305603027,
0.04958914965391159,
0.0104780038818717,
-0.04051617160439491,
0.01740211807191372,
-0.03647557273507118,
0.00004351247116574086,
-0.02451908029615879,
0.017705162987113,
-0.02562106028199196,
-0.033132899552583694,
-0.021433532238006592,
0.008779115974903107,
0.033738989382982254,
-0.001266130362637341,
0.06156400963664055,
-0.04940548539161682,
0.004885449539870024,
-0.01504204235970974,
0.010193325579166412,
-0.010138225741684437,
0.05061766505241394,
0.015354270115494728,
-0.011690182611346245,
-0.0479729101061821,
-0.012158525176346302,
0.012094242498278618,
0.008554127998650074,
-0.03423488140106201,
-0.0014371670549735427,
-0.0667065903544426,
-0.02718220092356205,
-0.038275476545095444,
-0.0209560077637434,
0.04235280677676201,
-0.01340743713080883,
0.03245334327220917,
0.05061766505241394,
0.01902754046022892,
-0.019303034991025925,
0.00023890605370979756,
0.006359349470585585,
0.008393422700464725,
0.0011513406643643975,
-0.010275973938405514,
-0.014904294162988663,
-0.006295067258179188,
-0.033683888614177704,
-0.000650857575237751,
0.04459350183606148,
-0.0038293844554573298,
-0.015510383993387222,
-0.01835716888308525,
0.027806656435132027,
0.0019433896522969007,
-0.01799902506172657,
-0.03752245754003525,
-0.012479935772716999,
-0.010937162674963474,
-0.01720927096903324,
-0.054033808410167694,
-0.023821158334612846,
-0.058625396341085434,
0.029441261664032936,
-0.020313184708356857,
-0.00794344674795866,
0.02417011931538582,
-0.009128076955676079,
-0.013692115433514118,
-0.00721797626465559,
0.0033885918091982603,
-0.006639436352998018,
-0.005119620356708765,
0.048523902893066406,
0.04452003538608551,
-0.04294053092598915,
0.00043160925270058215,
0.018917342647910118,
0.01084533054381609,
0.004674236290156841,
0.005105845630168915,
-0.0687636211514473,
0.0229028407484293,
-0.08272204548120499,
0.02354566380381584,
0.003698524087667465,
0.034032851457595825,
0.00023876257182564586,
0.02863314189016819,
-0.06766164302825928,
0.06009470298886299,
-0.02675977535545826,
0.01177283190190792,
-0.0036342418752610683,
-0.0036250585690140724,
0.03798161447048187,
-0.0037122988142073154,
0.02034991793334484,
0.018807144835591316,
-0.007709275931119919,
-0.029753489419817924,
0.028155617415905,
-0.008659734390676022,
-0.013361521065235138,
0.0009458670974709094,
-0.016272587701678276,
0.021580463275313377,
0.0013304125750437379,
-0.0283209141343832,
-0.04272013530135155,
0.046540334820747375,
0.013728847727179527,
-0.0010905021335929632,
-0.039340727031230927,
0.03394101932644844,
-0.015023675747215748,
-0.011625900864601135,
-0.00445384019985795,
0.04510775953531265,
-0.009366839192807674,
-0.011341222561895847,
-0.031737055629491806,
0.013122757896780968,
0.04246300458908081,
0.019192837178707123,
0.01510632410645485,
0.0053308336064219475,
0.039414189755916595,
0.008898497559130192,
-0.01150651928037405,
0.01690622605383396,
0.045879147946834564,
0.03620008006691933,
0.00572111876681447,
0.01577669568359852,
0.0376877523958683,
-0.03732042759656906,
0.02271917648613453,
-0.005344608332961798,
-0.021543730050325394,
0.04422617331147194,
-0.044850632548332214,
-0.0022142932284623384,
0.05561331287026405,
-0.023692592978477478,
-0.041471220552921295,
0.01084533054381609,
-0.018504099920392036,
0.027678092941641808,
0.04389557987451553,
-0.03212274983525276,
-0.03267373889684677,
0.011396321468055248,
0.053850144147872925,
0.024261951446533203,
-0.020221352577209473,
-0.0031199839431792498,
0.018026573583483696,
0.021286601200699806,
-0.024776209145784378,
-0.0054180738516151905,
0.009431121870875359,
-0.03787141665816307,
0.019725462421774864,
0.03254517540335655,
-0.03208601474761963,
-0.041471220552921295,
-0.0399651825428009,
0.014674714766442776,
-0.06024163216352463,
0.055429648607969284,
-0.03147992864251137,
0.00921072531491518,
0.05032380297780037,
-0.003586030099540949,
0.0005045006982982159,
-0.033794086426496506,
-0.021341700106859207,
0.014986943453550339,
0.06861668825149536,
0.005165536422282457,
-0.01720927096903324,
0.016961324959993362,
0.028706608340144157,
-0.00827863346785307,
-0.01968872919678688,
0.002601134590804577,
0.022664077579975128,
0.050103407353162766,
-0.00013860856415703893,
-0.04679746553301811,
-0.01186466310173273,
0.0583682656288147,
-0.00046489827218465507,
-0.00474311038851738,
0.008563311770558357,
0.05531945079565048,
-0.008035278879106045,
-0.01277379784733057,
-0.010927978903055191,
-0.026080219075083733,
0.021488631144165993,
0.0009384058066643775,
0.013857412151992321,
-0.04885449633002281,
-0.03520829603075981,
0.038091812282800674,
-0.02288447506725788,
0.004676532465964556,
-0.013995160348713398,
0.01720927096903324,
0.017604148015379906,
0.010643300600349903,
0.035740919411182404,
-0.02047848142683506,
-0.017962291836738586,
0.021360067650675774,
0.06108648702502251,
-0.022608978673815727,
0.016052192077040672,
-0.015510383993387222,
-0.011359588243067265,
-0.016933776438236237,
-0.013333971612155437,
0.03704493120312691,
0.007259300444275141,
0.02457417920231819,
0.02108457125723362,
-0.004520418122410774,
-0.0210111066699028,
-0.028339281678199768,
0.00025225034914910793,
0.03322473168373108,
-0.03546542674303055,
-0.0019204316195100546,
0.013985976576805115,
-0.009394388645887375,
-0.012406470254063606,
-0.021580463275313377,
-0.028247449547052383,
-0.0055512296967208385,
-0.009807631373405457,
0.009605602361261845,
0.03956112265586853,
0.01987239345908165,
-0.036695972084999084,
0.017071524634957314,
-0.03676943480968475,
-0.009798448532819748,
0.02663120999932289,
-0.017962291836738586,
0.046723999083042145,
-0.011295306496322155,
0.01601545885205269,
0.022076355293393135,
0.052895091474056244,
-0.0013591099996119738,
0.017971474677324295,
-0.012213624082505703,
-0.017310285940766335,
0.06942480802536011,
0.005753259640187025,
0.0006657802732661366,
0.01123102381825447,
-0.010101493448019028,
0.04940548539161682,
0.0260985866189003,
-0.04800964519381523,
-0.013756397180259228,
0.0011105902958661318,
-0.05763361230492592,
0.005982839036732912,
-0.01286562904715538,
-0.013627832755446434,
0.02591492235660553,
0.07247362285852432,
0.011295306496322155,
0.02330690063536167,
0.011065727099776268,
0.039046864956617355,
-0.0420222133398056,
0.032526809722185135,
0.01344416942447424,
-0.014279838651418686,
-0.0006198643823154271,
0.04018557816743851,
0.005546638276427984,
-0.0074291895143687725,
-0.017659246921539307,
0.03842240944504738,
0.004045188892632723,
-0.006313433405011892,
0.014334937557578087,
0.026172051206231117,
-0.029680024832487106,
0.017668429762125015,
0.002380738267675042,
0.0019376501441001892,
-0.03948765620589256,
-0.014885928481817245,
0.009991295635700226,
-0.020570313557982445,
-0.021892691031098366,
-0.0315166600048542,
0.05594390630722046,
0.00899492111057043,
-0.014417585916817188,
0.06744123995304108,
-0.09543156623840332,
-0.0013143420219421387,
0.039891716092824936,
-0.011570801958441734,
-0.020790711045265198,
-0.010615751147270203,
-0.020974373444914818,
-0.014683898538351059,
-0.000501631002407521,
0.03256354108452797,
-0.005895598791539669,
-0.019284669309854507,
-0.01703479140996933,
-0.02229675091803074,
0.022315116599202156,
-0.04661380127072334,
-0.032710473984479904,
0.024812940508127213,
0.05943351611495018,
-0.009633151814341545,
0.04022230952978134,
-0.05598064139485359,
0.0044676149263978004,
0.008981145918369293,
0.03208601474761963,
0.04657706990838051,
0.013480902649462223,
-0.016566449776291847,
0.011368772014975548,
0.03517156466841698,
-0.012287089601159096,
0.007089411839842796,
-0.02451908029615879,
-0.006304250098764896,
0.02385789155960083,
-0.029790222644805908,
-0.050103407353162766,
0.03511646389961243,
0.0029753490816801786,
-0.023508930578827858,
-0.021231502294540405,
0.06391490250825882,
-0.012985010631382465,
0.012378920800983906,
0.001313194166868925,
-0.001580654177814722,
-0.02567615918815136,
-0.012222806923091412,
0.026410814374685287,
0.03908359631896019,
-0.007856206968426704,
0.017861276865005493,
0.00014965706213843077,
0.041471220552921295,
0.007057270500808954,
0.025106802582740784,
-0.016998058184981346,
-0.05998450517654419,
-0.06266599148511887,
0.02391299046576023,
-0.0071996101178228855,
0.02288447506725788,
0.05329915136098862,
0.00457781320437789,
0.013857412151992321,
0.0667065903544426,
0.0542542040348053,
0.04716479033231735,
0.02857804298400879,
0.022443681955337524,
-0.011579984799027443,
-0.0048716748133301735,
0.022553879767656326,
-0.008283224888145924,
-0.011460603214800358,
0.01177283190190792,
-0.01114837545901537,
-0.036163344979286194,
0.020258085802197456,
0.016456251963973045,
-0.017980657517910004,
0.0440792441368103,
-0.01855001598596573,
0.02887190505862236,
-0.01787964254617691,
0.015666497871279716,
0.02428031712770462,
0.036089882254600525,
0.013086025603115559,
0.0037100031040608883,
0.010312706232070923,
-0.004235739819705486,
0.005753259640187025,
0.00422655651345849,
0.004793617874383926,
-0.014114541001617908,
0.003149829339236021,
-0.045511819422245026,
0.027512794360518456,
0.003689341014251113,
-0.03636537492275238,
0.024004822596907616,
-0.05700915679335594,
0.017236821353435516,
-0.010257607325911522,
-0.03388591855764389,
-0.02163556218147278,
0.0018997695297002792,
0.0025827682111412287,
-0.06420876830816269,
-0.016079740598797798,
-0.021488631144165993,
0.04106716066598892,
0.01733783632516861,
-0.03726532682776451,
0.03643884137272835,
0.0023991046473383904,
0.0007283406448550522,
0.05396034196019173,
0.0032783937640488148,
0.013416619971394539,
0.0007415414438582957,
-0.04903816059231758,
-0.036879632622003555,
-0.028357647359371185,
-0.003604396479204297,
0.02844947949051857,
0.010725948959589005,
-0.01571241393685341,
0.005294100847095251,
0.006947072688490152,
-0.02034991793334484,
0.03395938500761986,
-0.016024641692638397,
0.07669788599014282,
0.014840012416243553,
-0.05087479576468468,
-0.0017585782334208488,
-0.04040597379207611,
0.048597365617752075,
-0.014086991548538208,
0.01310439221560955,
-0.014215555973351002,
0.028229082003235817,
0.01637360267341137,
-0.02688833884894848,
-0.01830206997692585,
-0.0009533284464851022,
-0.00641903979703784,
0.004522714298218489,
0.0011249390663579106,
0.043932314962148666,
0.017778627574443817,
0.030543243512511253,
0.024500712752342224,
0.0010778752621263266,
-0.00797099620103836,
0.018467366695404053,
-0.04639340564608574,
0.017420483753085136,
0.04958914965391159,
-0.01740211807191372,
-0.0017057749209925532,
-0.025382298976182938,
0.011579984799027443,
0.010946345515549183,
-0.012378920800983906,
-0.018035758286714554,
0.016649097204208374,
0.03298596665263176,
-0.027439329773187637,
-0.023270167410373688,
0.03170032426714897,
-0.05682549253106117,
0.019615262746810913,
0.062188468873500824,
-0.022425316274166107,
0.020827442407608032,
-0.02646591328084469,
0.017246004194021225,
-0.015537933446466923,
0.020202986896038055,
0.022847741842269897,
-0.03474913910031319,
0.038275476545095444,
0.005431848578155041,
0.014986943453550339,
-0.054878659546375275,
0.04132429137825966,
-0.016336869448423386,
-0.035134829580783844,
-0.03901012986898422,
0.0026332756970077753,
-0.021213136613368988,
-0.03146155923604965,
-0.00474311038851738,
-0.0035171564668416977,
-0.045328155159950256,
-0.004240331239998341,
0.00244731642305851,
-0.0650903508067131,
-0.041765082627534866,
-0.0161899384111166,
-0.029459627345204353,
-0.02053358033299446,
-0.01866939663887024,
-0.03678780421614647,
-0.005597145762294531,
0.04936875402927399,
-0.0002710471744649112,
0.0208458099514246,
0.0025024153292179108,
0.016391968354582787,
-0.012782980687916279,
-0.0034873110707849264,
-0.01347171887755394,
0.01371048204600811,
-0.014656349085271358,
0.04033250734210014,
-0.03462057188153267,
-0.03908359631896019,
-0.059286583214998245,
-0.006272109225392342,
-0.009724983014166355,
0.030965669080615044,
0.037908151745796204,
-0.02060704678297043,
0.020405016839504242,
-0.011286122724413872,
-0.018145956099033356,
0.03267373889684677,
-0.01563894934952259,
0.02156209759414196,
0.019560163840651512,
0.004215077497065067,
0.0035056774504482746,
0.012654416263103485,
-0.01108409371227026,
0.020386651158332825,
0.005450214724987745,
-0.016290953382849693,
-0.023417098447680473,
-0.04543835297226906,
-0.008287816308438778,
-0.034767504781484604,
0.050948258489370346,
-0.003080955473706126,
0.05032380297780037,
-0.018935708329081535,
0.0022636528592556715,
0.04136102274060249,
0.018265336751937866,
-0.03557562455534935,
0.0037375525571405888,
-0.002035221317782998,
-0.0029753490816801786,
-0.008407197892665863,
-0.01908263936638832,
0.02409665286540985,
0.012351371347904205,
-0.0038775959983468056,
0.014197190292179585,
-0.04205894470214844,
0.02459254488348961,
-0.018044941127300262,
-0.011350405402481556,
-0.032159481197595596,
-0.017016425728797913,
0.04294053092598915,
-0.012333005666732788,
-0.04510775953531265,
-0.015611398965120316,
-0.09286027401685715,
-0.015813428908586502,
0.03605314716696739,
-0.014904294162988663,
0.007911305874586105,
0.035355228930711746,
-0.04881776124238968,
0.014977759681642056,
-0.007612852845340967,
-0.009743349626660347,
0.03195745125412941,
0.016961324959993362,
0.04811984300613403,
-0.012048326432704926,
0.01220444031059742,
-0.020019322633743286,
0.013040109537541866,
0.02145189791917801,
0.06604540348052979,
-0.010450454428792,
0.0009757124353200197,
0.032655373215675354,
0.0283209141343832,
-0.001017610658891499,
0.03878973424434662,
-0.02876170724630356,
-0.04929528757929802,
-0.022370215505361557,
0.006143544800579548,
-0.013921694830060005,
-0.014931843616068363,
-0.03243497759103775,
-0.003445986658334732,
-0.01217689085751772,
-0.03915706276893616,
0.0479729101061821,
0.008632184937596321,
0.01866939663887024,
0.01471144799143076,
0.06490668654441833,
-0.02034991793334484,
-0.00006890969234518707,
-0.009587235748767853,
-0.03340839222073555,
0.021819226443767548,
-0.002543739741668105,
0.02718220092356205,
0.013251323252916336,
-0.05392361059784889,
0.0061068120412528515,
0.047568850219249725,
0.0027228116523474455,
-0.0008523135329596698,
-0.028008686378598213,
-0.01277379784733057,
0.012994193471968174
] |
Transformer models gain popularity because of their superior inference
accuracy and inference throughput. However, the transformer is
computation-intensive, causing a long inference time. The existing works on
transformer inference acceleration have limitations caused by either the
modification of transformer architectures or the need of specialized hardware.
In this paper, we identify the opportunities of using memoization to accelerate
the self-attention mechanism in transformers without the above limitations.
Built upon a unique observation that there is rich similarity in attention
computation across inference sequences, we build a memoization database that
leverages the emerging big memory system. We introduce a novel embedding
technique to find semantically similar inputs to identify computation
similarity. We also introduce a series of techniques such as memory mapping and
selective memoization to avoid memory copy and unnecessary overhead. We enable
22% inference-latency reduction on average (up to 68%) with negligible loss in
inference accuracy. | [
-0.05538073554635048,
0.008645624853670597,
-0.03724537044763565,
-0.010599266737699509,
0.05256122350692749,
0.00798425916582346,
-0.017795978114008904,
0.037558648735284805,
-0.03647957742214203,
0.05471936613321304,
0.03808078169822693,
-0.0003181738138664514,
0.01481112651526928,
-0.017282547429203987,
0.007335945498198271,
0.021546620875597,
-0.00030131329549476504,
-0.01905779540538788,
0.0022690959740430117,
-0.028055859729647636,
-0.043824225664138794,
-0.021511811763048172,
0.03762826696038246,
-0.0728895366191864,
0.02205134741961956,
0.04674816131591797,
0.00822356902062893,
0.022382032126188278,
-0.015742260962724686,
-0.0030501175206154585,
0.01843123696744442,
0.020189080387353897,
-0.0349653959274292,
-0.028142880648374557,
-0.04243187606334686,
-0.0036875528749078512,
0.07052254676818848,
-0.011982914991676807,
-0.02403544820845127,
0.0006559275207109749,
-0.0029761488549411297,
-0.00076416099909693,
-0.031658563762903214,
-0.02137257717549801,
0.040378160774707794,
0.0043924301862716675,
-0.01542027946561575,
-0.032633211463689804,
-0.021111510694026947,
-0.023722168058156967,
0.038742147386074066,
-0.016099050641059875,
0.04674816131591797,
0.006639770697802305,
-0.021076703444123268,
0.021198533475399017,
0.035156846046447754,
-0.020467549562454224,
0.039647176861763,
0.01228749193251133,
-0.009189511649310589,
0.001144337933510542,
0.0003135507577098906,
-0.0263502299785614,
0.0198235884308815,
0.018953368067741394,
-0.0034961046185344458,
-0.01635141484439373,
0.017256442457437515,
0.00434891926124692,
-0.08521183580160141,
-0.04291919991374016,
0.0030544684268534184,
-0.030649110674858093,
0.008171356283128262,
-0.04288439080119133,
0.00838455930352211,
-0.0050690253265202045,
0.013122901320457458,
0.04128318652510643,
0.029169738292694092,
0.04796646907925606,
-0.001881848438642919,
0.03247657045722008,
0.08054746687412262,
-0.04946324601769447,
-0.010233774781227112,
-0.032302528619766235,
0.009633324109017849,
-0.020223887637257576,
-0.019423287361860275,
-0.048453789204359055,
-0.008854477666318417,
-0.0007320716977119446,
-0.03428662568330765,
0.03308572247624397,
-0.0433369018137455,
0.00009789963223738596,
-0.06690242886543274,
0.0019623436965048313,
-0.016342712566256523,
-0.050472699105739594,
0.00680511211976409,
-0.04730510339140892,
0.045216575264930725,
-0.008319293148815632,
-0.01041652075946331,
-0.004220562055706978,
0.03849848732352257,
0.04688739776611328,
0.01754361391067505,
-0.07428188621997833,
0.00839761272072792,
-0.023617742583155632,
0.018030935898423195,
0.0047470442950725555,
-0.041178759187459946,
-0.02979629673063755,
-0.036792855709791183,
-0.012261385098099709,
0.0038311388343572617,
0.03498280048370361,
0.004873225931078196,
0.02427910827100277,
-0.027742579579353333,
0.05753887817263603,
0.03291168063879013,
-0.04142242297530174,
-0.017491400241851807,
-0.03526127338409424,
0.028734629973769188,
0.029657062143087387,
-0.020937466993927956,
-0.019284050911664963,
0.05882680043578148,
0.025149326771497726,
0.014689295552670956,
0.03929908573627472,
-0.008628221228718758,
-0.028734629973769188,
-0.002183161675930023,
0.01626439206302166,
0.0016904002986848354,
-0.03505241870880127,
0.02003243938088417,
-0.004150944296270609,
-0.050681550055742264,
0.08945851027965546,
-0.05221313610672951,
0.04869745299220085,
-0.0478968508541584,
0.009163405746221542,
-0.017308654263615608,
0.060532428324222565,
-0.0068747298792004585,
0.026106568053364754,
-0.026872361078858376,
0.06060204654932022,
-0.008071281015872955,
0.04584313556551933,
0.0140975471585989,
-0.0744907408952713,
0.014776317402720451,
0.019840991124510765,
0.02071121148765087,
0.011878488585352898,
0.045216575264930725,
-0.014132355339825153,
-0.03609668090939522,
0.04636526480317116,
0.04232744872570038,
0.05451051518321037,
-0.00740556325763464,
0.007122742012143135,
-0.00789288617670536,
0.027203043922781944,
0.06418734788894653,
-0.036792855709791183,
-0.036966901272535324,
0.01102567370980978,
-0.019545117393136024,
0.023843999952077866,
0.03359045088291168,
-0.002288675867021084,
0.05980144441127777,
0.027324875816702843,
0.016003325581550598,
0.024522770196199417,
0.029726678505539894,
0.015533408150076866,
-0.015046085231006145,
0.046191222965717316,
0.030997198075056076,
-0.012035127729177475,
0.014724104665219784,
-0.04253630340099335,
-0.06718090176582336,
-0.012243980541825294,
0.020015034824609756,
-0.015402874909341335,
-0.04727029427886009,
-0.03759345784783363,
-0.012992369011044502,
0.015864090994000435,
-0.021094108000397682,
-0.011800169013440609,
-0.004351094830781221,
-0.020276101306080818,
0.02840394712984562,
-0.04187493398785591,
0.005299633368849754,
-0.02608916349709034,
-0.04267553612589836,
-0.07845894247293472,
0.011921999976038933,
0.004122662357985973,
-0.009494088590145111,
-0.045216575264930725,
-0.05980144441127777,
-0.006844271905720234,
0.001111704739741981,
0.005243069026619196,
0.04229263961315155,
-0.0017241212772205472,
0.01864008978009224,
0.0028021049220114946,
-0.023408889770507812,
-0.015742260962724686,
0.038150399923324585,
0.01414105761796236,
-0.032041460275650024,
0.015428981743752956,
0.01991060934960842,
-0.04431154951453209,
0.021581429988145828,
-0.08054746687412262,
-0.009772558696568012,
-0.042605917900800705,
-0.011347655206918716,
0.004394605755805969,
-0.024105064570903778,
0.0333641953766346,
0.0023626445326954126,
0.00405957130715251,
0.007932045497000217,
-0.013566713780164719,
-0.05350106209516525,
0.031171241775155067,
0.010799417272210121,
-0.013444882817566395,
-0.01126063335686922,
-0.051447343081235886,
0.007562202867120504,
-0.011408570222556591,
-0.01804834045469761,
0.06021915003657341,
0.037976354360580444,
-0.0015457264380529523,
-0.020989680662751198,
-0.022782331332564354,
0.026454655453562737,
-0.05256122350692749,
-0.03867252916097641,
0.05364029482007027,
-0.027237853035330772,
0.032598402351140976,
0.07309839129447937,
0.03110162541270256,
0.014532656408846378,
0.05322258919477463,
-0.007975556887686253,
-0.05283969268202782,
-0.027934027835726738,
-0.015011277049779892,
0.040134496986866,
-0.04810570180416107,
-0.03329457715153694,
0.02163364365696907,
0.07184527814388275,
-0.02718563936650753,
0.018117958679795265,
-0.004264072980731726,
-0.009293938055634499,
0.004829715006053448,
-0.009685536846518517,
0.002580199157819152,
0.02946561388671398,
-0.017552316188812256,
-0.027498919516801834,
0.00967683456838131,
-0.026750531047582626,
-0.014393421821296215,
-0.07741467654705048,
0.005665125325322151,
0.011930701322853565,
-0.009581110440194607,
-0.007444723043590784,
-0.012618174776434898,
-0.011147504672408104,
-0.03033583238720894,
-0.07553500682115555,
0.01700407825410366,
0.01144337933510542,
-0.006235118955373764,
-0.07720582187175751,
0.0073228925466537476,
-0.0060262661427259445,
0.07748429477214813,
-0.0005343687953427434,
0.01931886002421379,
0.034356243908405304,
0.02276492677628994,
0.04928920045495033,
0.016969269141554832,
0.02563665062189102,
0.030875368043780327,
-0.037767503410577774,
-0.022660501301288605,
-0.043406520038843155,
-0.03185001388192177,
0.010129348374903202,
-0.03686247393488884,
-0.09300900250673294,
-0.020589379593729973,
-0.01028598751872778,
0.03446067124605179,
0.014558763243258,
0.030266214162111282,
0.04368498921394348,
0.03968198224902153,
-0.027934027835726738,
-0.05280488729476929,
-0.06617144495248795,
0.02424429915845394,
-0.05698193609714508,
-0.0049341414123773575,
-0.027029000222682953,
0.02407025545835495,
-0.03665362298488617,
0.006426566746085882,
-0.0494980551302433,
-0.057712920010089874,
-0.0022190583404153585,
0.024122469127178192,
0.008058227598667145,
0.023843999952077866,
-0.055694013833999634,
-0.03454769030213356,
-0.014845935627818108,
-0.06843401491641998,
0.0009485386544838548,
-0.009685536846518517,
0.015864090994000435,
0.01342747826129198,
0.00526047358289361,
0.006282981019467115,
-0.013157710433006287,
0.014358612708747387,
-0.035122036933898926,
0.026837551966309547,
0.0005052709020674229,
-0.019980227574706078,
-0.04598236829042435,
0.01072979997843504,
-0.03867252916097641,
-0.05096002295613289,
-0.03602706268429756,
0.005778254009783268,
-0.007953801192343235,
0.02104189433157444,
0.009267832152545452,
0.05297892913222313,
-0.031414903700351715,
-0.013470989651978016,
0.039403513073921204,
0.022451648488640785,
0.06947828084230423,
-0.019005581736564636,
-0.003744116984307766,
0.06335193663835526,
-0.044798869639635086,
-0.029047908261418343,
0.01792651042342186,
0.006100235041230917,
0.06547527015209198,
-0.019284050911664963,
0.04977652430534363,
-0.05092521384358406,
-0.03703651949763298,
0.06383926421403885,
0.028839055448770523,
-0.042571112513542175,
-0.004007358103990555,
-0.0994834303855896,
-0.0172999519854784,
0.021181128919124603,
0.02722044847905636,
0.017856892198324203,
0.027429301291704178,
-0.03686247393488884,
-0.04253630340099335,
0.016038134694099426,
-0.058722373098134995,
0.010077135637402534,
-0.029987744987010956,
0.016664693132042885,
0.023374080657958984,
0.020589379593729973,
0.01884894259274006,
0.0014826355036348104,
-0.0036570951342582703,
-0.04807089641690254,
-0.03487837687134743,
-0.022033942863345146,
0.009694239124655724,
0.008558603003621101,
-0.04827974736690521,
-0.014758913777768612,
-0.003191527910530567,
0.020554572343826294,
-0.021616239100694656,
0.013244732283055782,
0.014132355339825153,
0.01923183910548687,
0.036375150084495544,
-0.016986673697829247,
0.0009653991437517107,
-0.023200036957859993,
0.013209923170506954,
0.03498280048370361,
0.001025226665660739,
-0.011225824244320393,
0.04894111305475235,
-0.0598362535238266,
-0.04246668517589569,
-0.033816706389188766,
-0.01148688979446888,
0.02386140264570713,
-0.04267553612589836,
-0.022033942863345146,
-0.025184135884046555,
-0.005978404078632593,
0.0010110855801030993,
-0.009972709231078625,
-0.022399434819817543,
-0.015829281881451607,
0.015898900106549263,
-0.010225072503089905,
0.019284050911664963,
-0.05903565511107445,
-0.06404811143875122,
0.029047908261418343,
-0.06088051572442055,
-0.06039319559931755,
0.03487837687134743,
-0.019840991124510765,
0.0051560471765697,
-0.02083304151892662,
-0.04131799563765526,
-0.03097979538142681,
0.03905542567372322,
0.04065662994980812,
0.026106568053364754,
-0.07372494786977768,
-0.005543294828385115,
0.017795978114008904,
-0.012774813920259476,
-0.01694316230714321,
-0.006631068419665098,
0.04180531948804855,
0.013662437908351421,
0.0007973380852490664,
-0.0008185497135855258,
0.00952889770269394,
0.03202405571937561,
-0.02983110584318638,
0.021807687357068062,
-0.04145723208785057,
-0.04695701599121094,
0.013732055202126503,
0.043580565601587296,
0.011956808157265186,
0.013096795417368412,
-0.027585940435528755,
-0.04048258438706398,
0.04072624817490578,
-0.020554572343826294,
0.005086429882794619,
0.01113010011613369,
0.016072943806648254,
-0.03442586213350296,
-0.031623754650354385,
-0.03138009458780289,
-0.038602910935878754,
-0.027585940435528755,
-0.041213568300008774,
-0.04243187606334686,
-0.050646740943193436,
0.04584313556551933,
0.040343351662158966,
-0.04514696076512337,
-0.00995530467480421,
0.052874501794576645,
-0.0014369490090757608,
-0.02878684364259243,
0.03059689886868,
-0.018883751705288887,
0.0017295602010563016,
-0.014184569008648396,
-0.00970294140279293,
-0.007470829878002405,
-0.014167164452373981,
0.034739140421152115,
0.018187575042247772,
0.0048166620545089245,
-0.008667380549013615,
-0.010216370224952698,
0.022660501301288605,
0.026750531047582626,
0.01792651042342186,
0.012574663385748863,
0.016734309494495392,
-0.007788459770381451,
0.04779242351651192,
-0.02857799082994461,
0.05976663902401924,
-0.001032841159030795,
-0.012174363248050213,
0.05391876772046089,
-0.061089370399713516,
0.00037310636253096163,
0.006826867815107107,
-0.021825091913342476,
0.02353071980178356,
0.015663940459489822,
0.006687632761895657,
-0.001112792524509132,
-0.02116372436285019,
-0.028177689760923386,
-0.030475066974759102,
-0.005469325929880142,
-0.023809190839529037,
-0.018709708005189896,
0.050229039043188095,
-0.0451817661523819,
-0.018413832411170006,
0.055694013833999634,
-0.06345636397600174,
-0.012000319547951221,
-0.009511493146419525,
-0.0033438163809478283,
-0.013122901320457458,
0.008971957489848137,
0.02424429915845394,
-0.0345999039709568,
-0.030039958655834198,
-0.04427674040198326,
-0.01632530800998211,
0.016464542597532272,
-0.01403663121163845,
0.003461295971646905,
0.027620749548077583,
0.036375150084495544,
-0.017961319535970688,
-0.0028956534806638956,
-0.04869745299220085,
-0.005108185112476349,
0.011965510435402393,
0.04187493398785591,
0.01542027946561575,
-0.01092124730348587,
0.002005854621529579,
-0.02226020023226738,
-0.004751395434141159,
-0.00811914261430502,
0.03475654497742653,
0.00245619285851717,
-0.012948857620358467,
0.023165227845311165,
-0.006335193756967783,
0.01756972074508667,
-0.02591511979699135,
0.02920454740524292,
0.05538073554635048,
0.00039159852894954383,
-0.0008865355630405247,
-0.05534592643380165,
-0.03341640904545784,
0.010016219690442085,
-0.010512244887650013,
-0.000664629740640521,
0.04970690608024597,
-0.004760097712278366,
-0.013662437908351421,
-0.022834545001387596,
0.002869546879082918,
0.037349797785282135,
0.002980499994009733,
0.03783711791038513,
-0.028769439086318016,
-0.0004220561822876334,
0.042988814413547516,
0.016864843666553497,
0.00502986554056406,
0.051482152193784714,
-0.007897237315773964,
0.021442195400595665,
-0.00038371217669919133,
-0.030353236943483353,
0.04371979832649231,
0.027533726766705513,
-0.0694434717297554,
0.03724537044763565,
-0.03437364846467972,
0.029013099148869514,
-0.011051780544221401,
0.04208378866314888,
-0.01338396780192852,
-0.003650568425655365,
-0.01745659112930298,
0.04775761440396309,
-0.061924781650304794,
0.023513315245509148,
0.004964598920196295,
-0.008471581153571606,
0.03731498867273331,
0.03745422512292862,
0.000999663956463337,
-0.010216370224952698,
-0.02697678655385971,
-0.028473563492298126,
-0.01721293106675148,
-0.028891269117593765,
-0.016925757750868797,
0.005408410914242268,
0.023217441514134407,
0.009990113787353039,
-0.01664728857576847,
0.03909023478627205,
0.010912545956671238,
-0.03929908573627472,
-0.01172184944152832,
0.011051780544221401,
0.01830940693616867,
0.021024489775300026,
-0.010042326524853706,
0.008928446099162102,
0.016107752919197083,
0.030753538012504578,
0.0625513345003128,
-0.02078082785010338,
0.04288439080119133,
0.013061986304819584,
0.05802619829773903,
-0.0078189168125391,
0.0005640106392093003,
0.02760334499180317,
-0.007040071301162243,
0.04368498921394348,
0.05433646962046623,
0.026820147410035133,
0.04709624871611595,
0.02516673132777214,
-0.0040943799540400505,
0.05029865354299545,
-0.03407777473330498,
-0.04472925513982773,
0.033224958926439285,
-0.02003243938088417,
0.055276308208703995,
-0.0006466814666055143,
-0.014558763243258,
-0.055868055671453476,
0.01952771283686161,
0.04048258438706398,
-0.02765555866062641,
0.025862907990813255,
0.05896603688597679,
-0.03842886909842491,
0.012322300113737583,
-0.012774813920259476,
-0.03463471308350563,
-0.02869982086122036,
-0.02201654016971588,
-0.007758001796901226,
-0.023582933470606804,
0.0009768207091838121,
-0.004209684208035469,
-0.014906850643455982,
-0.013288243673741817,
0.02092006430029869,
-0.05558958649635315,
0.03273763507604599,
0.004113960079848766,
0.04747914522886276,
0.03357304632663727,
-0.00995530467480421,
0.034652117639780045,
0.013192519545555115,
-0.0510992556810379,
-0.006626717280596495,
0.031832609325647354,
0.04633045569062233,
-0.015855388715863228,
-0.004503382835537195,
0.0131751149892807,
0.005708636250346899,
-0.029691871255636215,
-0.025567032396793365,
-0.01516791619360447,
0.007784108631312847,
0.007831970229744911,
0.008580358698964119,
0.009380959905683994,
-0.004046517889946699,
0.021825091913342476,
-0.00978126097470522,
0.01573355868458748,
-0.0510992556810379,
0.009520195424556732,
0.03030102327466011,
0.05151696130633354,
0.009076383896172047,
-0.08792692422866821,
-0.0017654566327109933,
0.04086548089981079,
0.009859580546617508,
0.02457498386502266,
-0.013766863383352757,
0.004803608637303114,
0.04069143906235695,
-0.01923183910548687,
-0.0038224367890506983,
0.011965510435402393,
-0.005691231694072485,
-0.007388158701360226,
0.03658400475978851,
0.04211859777569771,
-0.00741861667484045,
-0.036549195647239685,
-0.000759266025852412,
0.03376449644565582,
-0.016629884019494057,
0.01783948764204979,
0.006591908633708954,
0.0510992556810379,
0.015289747156202793,
0.025932524353265762,
-0.000012568884812935721,
0.011138802394270897,
0.011982914991676807,
0.001956904772669077,
-0.01361022423952818,
-0.004516436252743006,
-0.08200943470001221,
-0.027551131322979927,
-0.026106568053364754,
-0.015585620887577534,
0.008180057629942894,
-0.04497291520237923,
0.0263502299785614,
0.010120646096765995,
-0.017996128648519516,
0.004821012727916241,
0.05116887390613556,
-0.025184135884046555,
-0.003441715845838189,
0.009041574783623219,
-0.02448796108365059,
-0.016490649431943893,
0.019545117393136024,
0.01542027946561575,
0.027498919516801834,
-0.020136866718530655,
-0.025723671540617943,
0.05092521384358406,
-0.009563705883920193,
0.03428662568330765,
-0.01864008978009224,
0.026019547134637833,
-0.022956375032663345,
0.013349158689379692,
-0.02504490129649639,
0.05176062136888504,
-0.022033942863345146,
0.03606187179684639,
-0.012156958691775799,
-0.019179625436663628,
-0.006509237922728062,
0.04330209642648697,
0.025810694321990013,
-0.0012868362246081233,
0.06025395914912224,
-0.03247657045722008,
0.060149531811475754,
-0.024470556527376175,
-0.01676911860704422,
-0.06571893393993378,
0.001829635351896286,
-0.05597248300909996,
0.05102963745594025,
-0.015272342599928379,
0.018466046079993248,
0.02626320719718933,
-0.031414903700351715,
-0.0071967109106481075,
-0.020589379593729973,
-0.02335667610168457,
-0.00881531834602356,
0.009537599980831146,
-0.014750211499631405,
0.007701437454670668,
-0.015333257615566254,
0.023600338026881218,
0.054858602583408356,
-0.007401212118566036,
-0.026524273678660393,
0.03225031495094299,
-0.009363556280732155,
-0.0641525387763977,
0.03985602781176567,
0.0013031528797000647,
0.03298129886388779,
-0.03308572247624397,
-0.014236781746149063,
-0.03922947123646736,
0.03950794041156769,
0.02267790585756302,
0.07059215754270554,
0.026541678234934807,
0.023426294326782227,
-0.010294689796864986,
-0.016716906800866127,
0.04692220687866211,
-0.002201654016971588,
0.036792855709791183,
-0.01544638630002737,
0.008449826389551163,
-0.035417910665273666,
0.043406520038843155,
-0.01292275171726942,
0.04504253342747688,
-0.04953286424279213,
0.005177802871912718,
-0.014228079468011856,
-0.017491400241851807,
0.023931020870804787,
-0.030753538012504578,
-0.004207508638501167,
-0.015272342599928379,
0.018065745010972023,
0.03136269003152847,
0.014106249436736107,
-0.01956252194941044,
-0.018674898892641068,
-0.017526209354400635,
-0.03320755437016487,
0.03118864633142948,
0.0028325626626610756,
-0.03390372917056084,
0.027342278510332108,
0.028560586273670197,
-0.012496343813836575,
-0.03517425060272217,
-0.0037354149390012026,
0.03682766482234001,
0.007836321368813515,
0.004842768423259258,
-0.04048258438706398,
-0.051238492131233215,
-0.02769036777317524,
0.01434991043061018,
-0.027829602360725403,
-0.009998816065490246,
0.005565050058066845,
0.010999567806720734,
0.014872041530907154,
0.010642778128385544,
0.05398838222026825,
-0.015428981743752956,
0.012679089792072773,
0.012861835770308971,
0.02095487155020237,
0.012035127729177475,
0.06651953607797623,
-0.012679089792072773,
-0.023931020870804787,
-0.059140078723430634,
-0.010634075850248337,
-0.014236781746149063,
-0.0017752466956153512,
0.029065312817692757,
0.0024387885350733995,
-0.02828211523592472,
0.01884894259274006,
0.004834066145122051,
0.023426294326782227,
0.027638154104351997,
0.028055859729647636,
0.007100986782461405,
0.008954552933573723,
-0.01813536323606968,
-0.040169306099414825,
-0.05795658007264137,
0.03609668090939522,
-0.00863692257553339,
0.006004510913044214,
-0.04354575648903847,
0.03689728304743767,
-0.06853844225406647,
-0.025932524353265762,
0.03741941601037979,
0.018274597823619843,
-0.03315534070134163,
-0.022695310413837433,
0.010451329872012138,
0.03131047636270523,
-0.021198533475399017,
0.01769155077636242,
0.0019373248796910048,
0.03588782995939255,
0.013810374774038792,
0.04250149428844452,
0.07149718701839447,
-0.026454655453562737,
0.040552202612161636,
-0.016281796619296074,
0.0344780758023262,
-0.006957400590181351,
0.022399434819817543,
-0.0643962025642395,
0.02655908279120922,
-0.021564025431871414,
-0.016925757750868797,
0.012783516198396683,
-0.025984738022089005,
0.009694239124655724,
0.003232863498851657,
-0.00854554958641529,
0.021094108000397682,
0.005643370095640421,
-0.0332423634827137,
0.04406788572669029,
0.029065312817692757,
-0.03640995919704437,
-0.04330209642648697,
0.035539742559194565,
0.0529441200196743,
0.018500855192542076,
0.016368817538022995,
-0.004564298316836357,
0.004938492551445961,
0.015498599037528038,
-0.034408457577228546,
-0.00031273491913452744,
-0.0038724744226783514,
-0.009076383896172047,
-0.02570626698434353,
0.011652232147753239,
0.04855821654200554,
0.02668091282248497,
-0.022103561088442802,
-0.03703651949763298,
-0.019597331061959267,
-0.010947354137897491,
-0.01703888736665249,
-0.051482152193784714,
-0.057712920010089874,
-0.0008756578317843378,
-0.005752147175371647,
-0.012887942604720592,
-0.015559514984488487,
0.03985602781176567,
0.00991179421544075,
0.017317356541752815,
0.002506230492144823,
-0.001839425298385322,
-0.03329457715153694,
-0.0016196949873119593,
0.039647176861763,
0.05875718221068382,
-0.019179625436663628,
0.0444507822394371,
0.06881691515445709,
0.006426566746085882,
-0.02567145973443985,
0.029970340430736542,
-0.012069936841726303,
-0.046191222965717316,
0.035330887883901596,
-0.03822001442313194,
0.06533604115247726,
0.0312756672501564,
-0.03700171038508415,
-0.03640995919704437,
0.00040302015258930624,
-0.013157710433006287,
-0.05050750821828842,
0.021268151700496674,
-0.02882165089249611,
-0.01623828522861004,
-0.030475066974759102,
-0.005934893153607845,
0.03207626938819885,
-0.0315193310379982,
0.02641984634101391,
0.03745422512292862,
-0.0025105816312134266,
-0.050855595618486404,
0.019928013905882835,
0.020885255187749863,
0.03623591735959053,
0.005556347779929638,
0.03178039565682411,
0.028717225417494774,
0.05176062136888504,
0.025010092183947563,
-0.0007821092731319368,
-0.04991575703024864,
0.007884183898568153,
0.007275030482560396,
-0.028717225417494774,
0.005943595431745052,
-0.04131799563765526
] |
In distributed multiple-input multiple-output (D-MIMO) networks, power
control is crucial to optimize the spectral efficiencies of users and max-min
fairness (MMF) power control is a commonly used strategy as it satisfies
uniform quality-of-service to all users. The optimal solution of MMF power
control requires high complexity operations and hence deep neural network based
artificial intelligence (AI) solutions are proposed to decrease the complexity.
Although quite accurate models can be achieved by using AI, these models have
some intrinsic vulnerabilities against adversarial attacks where carefully
crafted perturbations are applied to the input of the AI model. In this work,
we show that threats against the target AI model which might be originated from
malicious users or radio units can substantially decrease the network
performance by applying a successful adversarial sample, even in the most
constrained circumstances. We also demonstrate that the risk associated with
these kinds of adversarial attacks is higher than the conventional attack
threats. Detailed simulations reveal the effectiveness of adversarial attacks
and the necessity of smart defense techniques. | [
-0.025857096537947655,
-0.039149362593889236,
-0.02134367637336254,
-0.013581588864326477,
0.042092178016901016,
0.07016465067863464,
-0.06692425161600113,
0.0005936261732131243,
-0.02575789950788021,
0.045762430876493454,
-0.02817166969180107,
-0.05135047435760498,
0.02841966040432453,
-0.022269506007432938,
-0.04083569720387459,
-0.0002085957967210561,
0.025377647951245308,
0.006472540553659201,
0.008444061502814293,
0.0010808233637362719,
-0.016168951988220215,
-0.01901257038116455,
-0.03200725093483925,
0.04047197848558426,
-0.05323519930243492,
0.01835126429796219,
0.000009307699656346813,
0.011076889000833035,
-0.05621108040213585,
0.04655599966645241,
0.0035607237368822098,
0.011870456859469414,
-0.01601189188659191,
-0.004050504416227341,
-0.016788925975561142,
-0.0088697774335742,
-0.006158419884741306,
0.014036237262189388,
-0.005402049981057644,
0.06897430121898651,
-0.00805141031742096,
-0.0397445410490036,
0.018913375213742256,
0.0380912721157074,
0.04910203069448471,
-0.022335637360811234,
-0.08345691859722137,
-0.024782473221421242,
-0.003945108503103256,
0.014193297363817692,
0.00268242578022182,
-0.07823259383440018,
-0.034487150609493256,
0.04149700328707695,
-0.021492471918463707,
0.04179459065198898,
0.07393410056829453,
0.0073487721383571625,
0.0034325956366956234,
-0.027295438572764397,
0.019277093932032585,
0.011630733497440815,
0.037760619074106216,
-0.016111087054014206,
-0.008630054071545601,
-0.017227042466402054,
0.021690864115953445,
-0.008067943155765533,
-0.03957921266555786,
0.023195335641503334,
-0.07889389991760254,
-0.007303307298570871,
-0.03412343189120293,
-0.0535658523440361,
-0.029097499325871468,
-0.017838751897215843,
0.006551070604473352,
0.07353731989860535,
0.011052089743316174,
0.006584135815501213,
-0.012300306931138039,
0.007803420536220074,
-0.03247016295790672,
-0.01884724386036396,
0.06718876957893372,
0.061633795499801636,
-0.014300759881734848,
-0.05809580162167549,
0.0010808233637362719,
-0.027741821482777596,
-0.06107168272137642,
0.019607746973633766,
0.022881215438246727,
-0.020698903128504753,
0.03094915859401226,
0.032156042754650116,
0.013176538050174713,
-0.028436193242669106,
-0.04896976798772812,
-0.008324199356138706,
-0.022352170199155807,
0.02007066085934639,
0.06295640766620636,
0.03819046914577484,
0.004110435023903847,
-0.02362518571317196,
-0.04334866255521774,
0.04629147797822952,
0.014639679342508316,
0.1573910266160965,
-0.002225710777565837,
0.010117994621396065,
0.000125738704809919,
0.049201227724552155,
-0.024352623149752617,
-0.012878949753940105,
-0.06031117960810661,
-0.05098675563931465,
-0.005344185512512922,
-0.015582041814923286,
-0.045927759259939194,
0.03600815683603287,
-0.0013639453100040555,
0.010952893644571304,
-0.08253108710050583,
0.055946554988622665,
0.03792594373226166,
-0.01214324589818716,
0.035710569471120834,
0.00008272792911157012,
-0.016648398712277412,
-0.003994706552475691,
-0.010911562480032444,
-0.016483072191476822,
-0.003211471252143383,
0.028551921248435974,
-0.016855057328939438,
0.0006189418490976095,
0.04513419046998024,
-0.03136247396469116,
0.05677318945527077,
0.004265428986400366,
-0.020583175122737885,
0.005112728103995323,
-0.01896297186613083,
0.05469007417559624,
0.013970105908811092,
0.03908323124051094,
-0.005563243757933378,
-0.0036516536492854357,
-0.04768022149801254,
0.034685540944337845,
0.031990718096494675,
0.009663345292210579,
0.051284343004226685,
-0.01236643735319376,
0.01451568491756916,
-0.017888348549604416,
-0.03212297707796097,
-0.026237348094582558,
0.03683478757739067,
-0.0302878525108099,
0.03336292877793312,
0.02198845148086548,
-0.0060178921557962894,
-0.005765768699347973,
0.025741366669535637,
0.025939758867025375,
-0.05908776447176933,
0.06890816986560822,
-0.004596082493662834,
-0.03584282845258713,
-0.03819046914577484,
-0.009200431406497955,
0.013193070888519287,
0.046622131019830704,
-0.01214324589818716,
-0.049366552382707596,
-0.003230070462450385,
0.0324205681681633,
-0.07069370150566101,
0.0035731233656406403,
-0.018781112506985664,
0.008212603628635406,
0.023476392030715942,
0.020781567320227623,
0.037099312990903854,
-0.0035917225759476423,
-0.027973277494311333,
-0.014647945761680603,
0.03347865864634514,
0.023162271827459335,
0.018648851662874222,
-0.04533258080482483,
0.04222444072365761,
-0.05049077421426773,
-0.019359756261110306,
-0.022385235875844955,
0.06451047956943512,
-0.05409489572048187,
-0.013631186448037624,
0.00605095736682415,
0.008005945943295956,
-0.018367797136306763,
0.03134594112634659,
-0.0268159918487072,
0.050953689962625504,
-0.01275495532900095,
-0.020583175122737885,
0.006761861965060234,
-0.013556789606809616,
-0.005067263264209032,
-0.020831163972616196,
-0.016888123005628586,
0.019773073494434357,
-0.006881724111735821,
0.011779527179896832,
-0.02603895589709282,
-0.06315480172634125,
-0.03627267852425575,
0.03471860662102699,
0.046456802636384964,
0.015755634754896164,
-0.037099312990903854,
-0.06110474839806557,
-0.05227630212903023,
-0.048870574682950974,
0.015267920680344105,
-0.04427449032664299,
-0.0121019147336483,
-0.028799911960959435,
0.022881215438246727,
0.02825433388352394,
0.027774885296821594,
0.04265429079532623,
0.010589174926280975,
0.0066130682826042175,
0.05690545216202736,
-0.04133167490363121,
0.02751036360859871,
-0.055417511612176895,
-0.03389197215437889,
0.002849819138646126,
-0.025658704340457916,
0.07181791961193085,
-0.012647492811083794,
-0.005492979660630226,
0.06143540143966675,
0.004056703764945269,
-0.004815140273422003,
-0.04804394021630287,
-0.0324866957962513,
-0.013515457510948181,
0.05313600227236748,
-0.07214857637882233,
-0.009043370373547077,
-0.018004078418016434,
-0.038653381168842316,
0.009010305628180504,
-0.02531151846051216,
0.0794229507446289,
-0.01525138784199953,
-0.010018798522651196,
0.06070796400308609,
-0.035049259662628174,
0.008332465775310993,
0.015863096341490746,
0.03326373174786568,
-0.024749407544732094,
0.02980840392410755,
-0.061137814074754715,
0.019525082781910896,
-0.04774635285139084,
-0.013391463086009026,
0.024088101461529732,
-0.020004531368613243,
-0.004153833258897066,
-0.014895935542881489,
0.054194092750549316,
-0.06189831718802452,
0.036735594272613525,
0.028055941686034203,
0.013589855283498764,
-0.04916816204786301,
0.04096795618534088,
-0.0306681040674448,
-0.024170763790607452,
-0.03921549394726753,
-0.07042917609214783,
0.006889990530908108,
-0.03746303170919418,
-0.027030915021896362,
-0.012978145852684975,
-0.05485539883375168,
0.029262825846672058,
0.03194111958146095,
-0.012730156071484089,
-0.002820886904373765,
0.03495006635785103,
-0.00022099530906416476,
-0.043150268495082855,
0.02031865157186985,
0.015400182455778122,
0.02764262445271015,
-0.02653493545949459,
0.016301212832331657,
0.007183445151895285,
0.04705198109149933,
0.0021451138891279697,
-0.009175632148981094,
0.029973730444908142,
-0.017177443951368332,
-0.04741569980978966,
-0.07472766935825348,
-0.03298267722129822,
0.0010818566661328077,
0.007253709249198437,
-0.013755181804299355,
-0.010746235959231853,
0.01982267200946808,
0.0009165299125015736,
0.033660516142845154,
-0.038653381168842316,
-0.001069457153789699,
0.0026204283349215984,
-0.04377851262688637,
-0.01950855180621147,
0.05432635545730591,
-0.048143137246370316,
-0.006947854533791542,
-0.04844072461128235,
0.023972371593117714,
-0.05313600227236748,
-0.05478926748037338,
0.0007568863220512867,
0.01754116266965866,
-0.016301212832331657,
0.010068396106362343,
-0.029543882235884666,
-0.004160033073276281,
-0.03237096965312958,
-0.03278428688645363,
-0.0328669473528862,
-0.00765462638810277,
-0.039314690977334976,
-0.004947401583194733,
-0.05859178304672241,
-0.012854151427745819,
0.005538444500416517,
0.03237096965312958,
0.0009532117401249707,
0.0035689901560544968,
-0.004897803533822298,
0.00009577324090059847,
0.04182765632867813,
-0.030188655480742455,
0.012738422490656376,
0.0004339825827628374,
-0.058690980076789856,
-0.013168271631002426,
0.03278428688645363,
0.0052573890425264835,
-0.016144152730703354,
-0.010134526528418064,
-0.033511724323034286,
-0.050259318202733994,
-0.01236643735319376,
0.007770354859530926,
0.0015881696017459035,
0.01892990805208683,
-0.002205044962465763,
0.007022251840680838,
0.021773526445031166,
0.025724835693836212,
-0.052838414907455444,
0.013813045807182789,
0.03237096965312958,
-0.019144831225275993,
-0.02825433388352394,
0.045894693583250046,
-0.0194258876144886,
0.046952784061431885,
0.00536485156044364,
0.02645227313041687,
0.004951534792780876,
0.05135047435760498,
0.029824936762452126,
-0.005054864101111889,
0.02064930461347103,
0.05902163311839104,
-0.0018743914552032948,
0.002138914307579398,
-0.034354887902736664,
-0.0129616130143404,
0.03676865994930267,
-0.04794474318623543,
-0.023311065509915352,
-0.018285132944583893,
-0.01879764534533024,
-0.08140686899423599,
0.011953120119869709,
-0.0059848264791071415,
-0.006468407344073057,
0.032850414514541626,
0.006443608086556196,
0.04738263413310051,
-0.028436193242669106,
-0.033627450466156006,
0.013829578645527363,
-0.017971012741327286,
0.019029103219509125,
-0.017392368987202644,
-0.012730156071484089,
-0.028766846284270287,
-0.019574681296944618,
0.033577851951122284,
-0.056442536413669586,
-0.003827313194051385,
-0.008530857972800732,
-0.028353529050946236,
0.047481827437877655,
0.06272494792938232,
0.10316386073827744,
-0.06262575834989548,
0.04708504304289818,
0.024005437269806862,
-0.029659610241651535,
-0.04844072461128235,
0.016755862161517143,
0.016135886311531067,
0.056475602090358734,
0.00031308745383284986,
-0.024336090311408043,
-0.050060924142599106,
-0.07862938195466995,
-0.011233949102461338,
0.01843392662703991,
0.029659610241651535,
-0.04410916566848755,
0.01721050962805748,
0.01921096257865429,
-0.032519761472940445,
0.008472993038594723,
0.0638822391629219,
-0.06341931968927383,
-0.04232363402843475,
0.0071214474737644196,
-0.07353731989860535,
-0.024005437269806862,
-0.00929962657392025,
-0.06599842011928558,
-0.024666743353009224,
-0.047151174396276474,
-0.03828966245055199,
0.03703318163752556,
0.00030017129029147327,
0.03819046914577484,
-0.04768022149801254,
0.018979504704475403,
-0.012738422490656376,
0.021575134247541428,
0.0475148931145668,
0.007042917422950268,
-0.047151174396276474,
0.07181791961193085,
0.0076876915991306305,
-0.04629147797822952,
-0.005951761268079281,
-0.0061956183053553104,
0.006885857321321964,
0.01344932708889246,
0.0030957425478845835,
0.04162926226854324,
0.030750766396522522,
0.020335184410214424,
0.02562563866376877,
-0.034520216286182404,
-0.07810033112764359,
0.014135433360934258,
-0.02395583875477314,
0.07452927529811859,
0.007972880266606808,
0.01831819862127304,
-0.018996037542819977,
0.0011045890860259533,
-0.030353982001543045,
0.009051636792719364,
0.0008963806903921068,
-0.03170965984463692,
-0.025774432346224785,
0.026766393333673477,
-0.0005838099168613553,
0.012540030293166637,
-0.005356585141271353,
-0.060641832649707794,
0.006290681194514036,
-0.0037115844897925854,
0.001731797237880528,
0.033792778849601746,
0.03957921266555786,
-0.01879764534533024,
-0.011225682683289051,
0.004860605113208294,
0.03151126950979233,
0.044902730733156204,
-0.05383037403225899,
0.04285268113017082,
0.008344865404069424,
0.002570830285549164,
0.04599388688802719,
0.058194998651742935,
0.049895599484443665,
0.021029556170105934,
-0.02959347888827324,
0.001601602416485548,
0.02256709523499012,
0.016218548640608788,
0.008613521233201027,
0.014912468381226063,
0.03438795357942581,
-0.0022691090125590563,
-0.05511992424726486,
-0.014209830202162266,
0.01840086281299591,
-0.018285132944583893,
0.025195788592100143,
0.04768022149801254,
-0.006914789322763681,
-0.02326146699488163,
-0.017276640981435776,
-0.010018798522651196,
0.016251614317297935,
-0.02881644479930401,
-0.053169067949056625,
-0.0457954965531826,
-0.0023889709264039993,
-0.010043596848845482,
0.054888464510440826,
-0.03680172562599182,
0.005724437069147825,
-0.014730609022080898,
0.05849258601665497,
-0.009183898568153381,
-0.018020611256361008,
0.007369437720626593,
0.014424755237996578,
0.0015861029969528317,
-0.04080263152718544,
-0.002971747424453497,
0.013746915385127068,
0.03025478683412075,
-0.034354887902736664,
-0.005687238648533821,
-0.004240629728883505,
-0.04080263152718544,
0.009167365729808807,
0.01451568491756916,
0.0076670260168612,
-0.03495006635785103,
0.0025088326074182987,
0.018714983016252518,
-0.020335184410214424,
0.0071462467312812805,
0.03901710361242294,
-0.014094101265072823,
0.00005453843914438039,
-0.005005266051739454,
0.05412796139717102,
0.031379006803035736,
0.029709208756685257,
-0.011109954677522182,
-0.012622693553566933,
-0.014325559139251709,
0.002944881794974208,
0.0058153667487204075,
-0.010225456207990646,
-0.016168951988220215,
-0.008654853329062462,
0.0041373008862137794,
0.002932482399046421,
-0.015458046458661556,
-0.026386141777038574,
0.018301665782928467,
0.024385688826441765,
0.06735409796237946,
0.013821312226355076,
0.014350357465445995,
0.02665066532790661,
-0.012986412271857262,
-0.03179232403635979,
0.03650413453578949,
0.022418301552534103,
-0.04136474058032036,
0.018252067267894745,
0.0035317917354404926,
-0.00805141031742096,
0.028651118278503418,
-0.0307011678814888,
0.05621108040213585,
-0.06034424528479576,
-0.01072970312088728,
0.02415423095226288,
0.010795833542943,
0.014548749662935734,
-0.026187749579548836,
-0.013457593508064747,
0.007547163870185614,
0.0536319836974144,
-0.0177395548671484,
-0.02248443104326725,
0.0664943978190422,
0.009481485933065414,
0.07472766935825348,
-0.01606975495815277,
0.020136792212724686,
0.014788473956286907,
-0.004480353556573391,
0.008836712688207626,
-0.0006747395964339375,
-0.040009062737226486,
0.01040731556713581,
-0.006121220998466015,
0.04268735274672508,
-0.003715717699378729,
-0.020748501643538475,
0.020087193697690964,
-0.017557695508003235,
-0.03438795357942581,
-0.020467445254325867,
-0.043646249920129776,
-0.02673332765698433,
-0.01197791937738657,
-0.012953347526490688,
-0.03131287917494774,
-0.027295438572764397,
-0.023906240239739418,
0.02412116527557373,
-0.02109568752348423,
-0.028353529050946236,
0.021062621846795082,
0.010332918725907803,
-0.0011562536237761378,
-0.03620654717087746,
-0.007931548170745373,
0.014788473956286907,
0.03871951252222061,
-0.027444232255220413,
0.0035710567608475685,
0.042786549776792526,
0.040372781455516815,
0.011696863919496536,
-0.007088382262736559,
-0.007770354859530926,
0.02608855441212654,
0.014342091046273708,
-0.02453448250889778,
0.0666266605257988,
0.01624334789812565,
0.04500192776322365,
0.009126033633947372,
0.030833430588245392,
0.0013174471678212285,
-0.012639226391911507,
-0.001275082235224545,
-0.0034987262915819883,
-0.03058543987572193,
0.04533258080482483,
0.0025480978656560183,
-0.00010165009007323533,
0.04093489050865173,
0.006617201492190361,
0.004273695405572653,
-0.014995131641626358,
0.014523950405418873,
0.014904201962053776,
-0.023030009120702744,
0.027097046375274658,
0.04830846190452576,
-0.026055488735437393,
-0.058690980076789856,
-0.026964785531163216,
0.04007519409060478,
-0.011944854632019997,
-0.00644774129614234,
-0.00958894845098257,
-0.02129407972097397,
0.002932482399046421,
0.007836485281586647,
-0.0054268487729132175,
-0.01024198904633522,
0.01115955226123333,
-0.04288574680685997,
0.017756087705492973,
-0.018185937777161598,
-0.013804779388010502,
0.042621225118637085,
-0.00009512743417872116,
-0.01879764534533024,
0.030056394636631012,
-0.02145940624177456,
0.003128807758912444,
-0.002448901766911149,
-0.029345490038394928,
0.012382970191538334,
0.013813045807182789,
0.023228401318192482,
0.012184577994048595,
0.017028650268912315,
-0.009059903211891651,
-0.018053675070405006,
0.012209377251565456,
0.04361318424344063,
-0.021641265600919724,
0.0001284510944969952,
0.02223644219338894,
-0.013002945110201836,
0.020500510931015015,
0.022186843678355217,
0.015639906749129295,
0.008183672092854977,
0.07644706964492798,
0.007497565820813179,
0.021558601409196854,
-0.054392486810684204,
-0.0008033844642341137,
0.018533123657107353,
-0.026849055662751198,
-0.017838751897215843,
-0.04136474058032036,
0.008129940368235111,
0.0007310539949685335,
-0.017111314460635185,
-0.027989810332655907,
0.002198845148086548,
0.002942815190181136,
0.02808900736272335,
0.01782221905887127,
0.054194092750549316,
0.047316502779722214,
0.006067490205168724,
0.04103408753871918,
-0.009473220445215702,
0.04648986831307411,
-0.02089729532599449,
0.012912015430629253,
0.02367478422820568,
-0.009919602423906326,
-0.017342770472168922,
-0.005261522252112627,
-0.009878270328044891,
0.02931242436170578,
-0.02084769681096077,
0.08167139440774918,
-0.05581429600715637,
-0.009340958669781685,
0.011275281198322773,
0.030750766396522522,
0.024683276191353798,
-0.008811913430690765,
0.01624334789812565,
-0.019244028255343437,
0.03253629431128502,
-0.008084475994110107,
0.01144887413829565,
0.018748048692941666,
-0.05862484872341156,
-0.02031865157186985,
-0.010134526528418064,
0.01077103428542614,
-0.010142792947590351,
0.021575134247541428,
0.009531084448099136,
0.006141887046396732,
-0.009456687606871128,
-0.02170739509165287,
0.003585522761568427,
-0.0036061888094991446,
-0.028882574290037155,
0.00403810478746891,
0.030883027240633965,
-0.028403127565979958,
-0.0019963199738413095,
-0.018086740747094154,
0.04853992164134979,
-0.0622289702296257,
-0.027212774381041527,
-0.04910203069448471,
-0.030734233558177948,
0.010473446920514107,
0.07208244502544403,
0.003752916119992733,
0.0019983865786343813,
-0.02603895589709282,
-0.008154739625751972,
0.01158940140157938,
0.009671611711382866,
0.018417393788695335,
0.04007519409060478,
-0.02861805260181427,
-0.03908323124051094,
0.04569629952311516,
0.025972824543714523,
0.0005290454719215631,
-0.00309160933829844,
-0.061303142458200455,
-0.03670252859592438,
-0.024220362305641174,
-0.008150606416165829,
-0.01144887413829565,
-0.014333825558423996,
0.04083569720387459,
-0.0048399390652775764,
-0.0000317575795634184,
0.04569629952311516,
-0.02747729793190956,
0.007662892807275057,
0.005567376501858234,
0.024517949670553207,
-0.03855418786406517,
-0.06193138286471367,
-0.007224776782095432,
-0.022534029558300972,
-0.020665837451815605,
0.014044503681361675,
0.015813499689102173,
-0.004343959037214518,
0.015168724581599236,
0.012887216173112392,
0.026501869782805443,
0.030651571229100227,
0.017078248783946037,
-0.009894803166389465,
-0.037760619074106216,
0.051482733339071274,
-0.03089956007897854,
-0.020583175122737885,
-0.014672745019197464,
0.04976333677768707,
-0.030998757109045982,
-0.013184804469347,
0.0015933361137285829,
0.007096648681908846,
-0.030750766396522522,
-0.0018867909675464034,
-0.04371238127350807,
-0.012374703772366047,
-0.014730609022080898,
-0.016425207257270813,
0.0045382180251181126,
-0.01721050962805748,
0.003963707480579615,
0.028436193242669106,
0.046622131019830704,
0.03650413453578949,
-0.0009506285423412919,
0.030105993151664734,
-0.0050713964737951756,
0.012002718634903431,
-0.015672970563173294,
-0.02493126690387726,
-0.03402423486113548,
0.044208358973264694,
0.008472993038594723,
-0.038488056510686874,
0.04238976538181305,
-0.0009738776134327054,
0.02142634056508541,
-0.06451047956943512,
0.013854377903044224,
-0.0588563047349453,
0.02212071232497692,
-0.006431208923459053,
-0.0006809393526054919,
0.07360345125198364,
0.007328106090426445,
-0.05154886469244957,
-0.0071379803121089935,
0.0008307666867040098,
0.025361116975545883,
-0.005658306181430817,
0.027328504249453545,
0.016921188682317734,
0.015970559790730476,
-0.005422716028988361,
-0.005732703488320112,
-0.00658000260591507,
0.005563243757933378,
-0.0012823152355849743,
-0.06186525151133537,
-0.046622131019830704,
-0.014482619240880013,
0.02975880727171898,
0.001899190479889512,
0.015152192674577236,
0.017888348549604416,
0.019194429740309715,
-0.003017212264239788,
0.004455554764717817,
0.009969200007617474,
0.01397837232798338,
-0.0021575135178864002,
-0.04238976538181305,
-0.021773526445031166,
0.003554524155333638,
0.05690545216202736,
0.02170739509165287,
-0.010985959321260452,
-0.00646014092490077,
0.03822353482246399,
-0.03442101925611496,
-0.011217417195439339,
-0.016218548640608788,
-0.020269053056836128,
0.003083342919126153,
0.028303930535912514,
-0.01582176610827446,
-0.011440607719123363,
-0.0033457991667091846,
0.024997398257255554,
-0.0023145738523453474,
0.022831616923213005,
0.005836032796651125,
-0.015292719937860966,
0.008196071721613407,
0.008588721975684166,
0.006778394803404808,
-0.014052770100533962,
0.04827539622783661,
0.01214324589818716,
0.034487150609493256,
-0.03364398330450058,
0.026634132489562035,
-0.0029469483997672796,
0.003242469858378172,
0.05753369256854057,
0.016855057328939438,
-0.03855418786406517,
0.06570082902908325,
-0.037066247314214706,
0.03442101925611496,
-0.033131472766399384,
-0.010068396106362343,
0.012688823975622654,
0.013325332663953304,
0.05892243608832359,
-0.05181339010596275,
0.059385351836681366,
-0.005439248401671648,
-0.035214588046073914,
0.04896976798772812,
-0.049366552382707596,
-0.030684635043144226,
0.02845272608101368,
-0.060112789273262024,
-0.05839339271187782,
-0.008014211431145668,
-0.01547457929700613,
-0.032404035329818726,
0.011200884357094765,
0.029444685205817223,
0.014019704423844814,
-0.006567603442817926,
-0.0026390275452286005,
-0.012374703772366047,
-0.03842192515730858,
0.03508232533931732,
-0.003044077893719077,
-0.037992075085639954,
-0.04830846190452576,
0.013217870146036148,
0.012333371676504612,
-0.06193138286471367,
-0.012333371676504612,
-0.010539577342569828,
-0.0016429340466856956,
0.029362022876739502,
0.010192391462624073,
-0.03875257819890976,
0.012159778736531734,
0.019277093932032585,
0.02431955747306347,
0.01361465360969305,
0.03686785325407982,
0.006439474876970053,
-0.01598709262907505,
-0.008588721975684166,
0.03192458674311638,
-0.02003759704530239,
-0.024964332580566406,
0.003073010127991438,
-0.03233790397644043,
-0.008125807158648968,
-0.026518402621150017,
-0.006344411987811327,
-0.0354791097342968,
-0.023443326354026794,
0.04076956585049629,
-0.058194998651742935,
-0.016565736383199692,
0.04030665010213852,
0.006786661222577095,
0.006823859643191099,
0.003110208548605442,
0.06983400136232376,
0.011308346875011921,
0.03997599706053734,
0.035049259662628174,
-0.020698903128504753,
-0.024517949670553207,
0.0009542450425215065,
0.0021110153757035732,
-0.025890162214636803,
-0.011473673395812511,
0.024187296628952026,
-0.023988904431462288,
-0.007646359968930483,
-0.03290001302957535,
0.023112673312425613,
0.011465406976640224,
-0.016003625467419624,
0.014185030944645405,
0.02706398069858551,
-0.005220190621912479,
-0.01582176610827446
] |
Artificial intelligence (AI) technologies are widely deployed in smartphone
photography; and prompt-based image synthesis models have rapidly become
commonplace. In this paper, we describe a Research-through-Design (RtD) project
which explores this shift in the means and modes of image production via the
creation and use of the Entoptic Field Camera. Entoptic phenomena usually refer
to perceptions of floaters or bright blue dots stemming from the physiological
interplay of the eye and brain. We use the term entoptic as a metaphor to
investigate how the material interplay of data and models in AI technologies
shapes human experiences of reality. Through our case study using first-person
design and a field study, we offer implications for critical, reflective,
more-than-human and ludic design to engage AI technologies; the
conceptualisation of an RtD research space which contributes to AI literacy
discourses; and outline a research trajectory concerning materiality and design
affordances of AI technologies. | [
-0.011914443224668503,
-0.008736930787563324,
-0.03532097116112709,
-0.03649964556097984,
0.03773725777864456,
0.020116059109568596,
-0.022551989182829857,
0.003553215181455016,
0.012513603083789349,
0.03901415318250656,
-0.002777253743261099,
-0.0030228111427277327,
0.0625876635313034,
-0.012808272615075111,
-0.00404432974755764,
0.011511729098856449,
0.03759974241256714,
0.00752878887578845,
-0.0405857227742672,
-0.05402262136340141,
0.027561359107494354,
-0.02966332994401455,
-0.065141461789608,
-0.027600647881627083,
0.045811183750629425,
0.004989725537598133,
0.02274843491613865,
0.023809242993593216,
-0.025754056870937347,
0.010824169032275677,
0.03526203706860542,
0.010578611865639687,
-0.0023966399021446705,
0.00286811008118093,
-0.05567276477813721,
-0.003914184402674437,
0.04588976129889488,
0.039387401193380356,
0.010981325060129166,
0.05928736925125122,
-0.023318126797676086,
-0.011688530445098877,
0.014772730879485607,
0.0032831020653247833,
-0.06227334961295128,
-0.05983741953969002,
-0.033474382013082504,
-0.05826585367321968,
-0.0538654625415802,
-0.004309531766921282,
0.030704492703080177,
-0.034692343324422836,
0.04922934249043465,
0.011580485850572586,
-0.03591030836105347,
-0.01356458943337202,
0.0464005209505558,
0.004117996897548437,
0.06050533428788185,
-0.008815509267151356,
0.050525885075330734,
0.03877842053771019,
-0.039171312004327774,
0.010942036285996437,
0.004616478458046913,
-0.03909273445606232,
-0.013652989640831947,
-0.023062748834490776,
-0.028740033507347107,
-0.00018815833027474582,
0.031470634043216705,
-0.0015752505278214812,
-0.0058688209392130375,
0.03304219990968704,
-0.012818094342947006,
-0.0017655574483796954,
0.07873551547527313,
0.04565402492880821,
0.007951147854328156,
-0.015460291877388954,
0.046361230313777924,
0.04565402492880821,
-0.0329439751803875,
0.016845235601067543,
0.03231535106897354,
-0.02791496179997921,
0.05307967960834503,
-0.07739968597888947,
0.00283864326775074,
0.045300424098968506,
-0.033002909272909164,
0.04667554423213005,
-0.009208401665091515,
-0.02917221561074257,
0.027384556829929352,
0.0013738934649154544,
0.013584233820438385,
-0.007258675992488861,
-0.0028042651247233152,
0.005240194033831358,
0.014271793887019157,
-0.05484769493341446,
0.023160971701145172,
-0.02125544659793377,
0.012533248402178288,
-0.04329667612910271,
-0.01469415333122015,
-0.011649241670966148,
0.004356187768280506,
0.12839703261852264,
-0.03846410661935806,
-0.01856413669884205,
-0.0656915083527565,
-0.03084200620651245,
-0.026598773896694183,
0.04388601332902908,
-0.049740102142095566,
-0.03589066490530968,
0.0075238775461912155,
0.014536996372044086,
-0.03408336266875267,
0.0042407759465277195,
0.04919005185365677,
0.03064556047320366,
0.014664686284959316,
0.06584866344928741,
0.002733053406700492,
-0.06435567140579224,
0.042628757655620575,
0.04883645102381706,
0.0065563819371163845,
0.012631471268832684,
0.047068435698747635,
0.07798901945352554,
0.011570663191378117,
0.05527987331151962,
-0.0027526980265975,
0.02321990393102169,
-0.00667916052043438,
0.000108966080006212,
0.018829338252544403,
-0.032256416976451874,
-0.013436899520456791,
0.02893648110330105,
-0.04738274961709976,
0.01647198759019375,
-0.048286400735378265,
0.014428950846195221,
-0.024536091834306717,
-0.006615315563976765,
-0.08965790271759033,
0.007975703105330467,
-0.06392349302768707,
0.016010340303182602,
0.027581004425883293,
-0.04439677298069,
0.03750152140855789,
-0.017955154180526733,
-0.00971916038542986,
0.0011541196145117283,
0.009341002441942692,
-0.06875606626272202,
0.02046966180205345,
0.02744349092245102,
0.03703005239367485,
-0.0367550253868103,
0.006998384837061167,
-0.031981389969587326,
-0.0020381261128932238,
0.04475037381052971,
0.028484655544161797,
0.018151599913835526,
-0.04074287787079811,
-0.010023651644587517,
0.03017408959567547,
-0.016805946826934814,
0.06749881058931351,
0.029290083795785904,
-0.04616478458046913,
-0.005525040905922651,
-0.022905591875314713,
-0.03848375007510185,
0.025361165404319763,
-0.03832659497857094,
0.015136156231164932,
0.0489543154835701,
0.09115089476108551,
-0.023180615156888962,
0.018456092104315758,
0.021058999001979828,
-0.006173312198370695,
-0.03881770744919777,
0.008211438544094563,
-0.02418248914182186,
0.004889047238975763,
-0.05535845458507538,
-0.01602998562157154,
-0.05799082666635513,
-0.03133311867713928,
0.029682975262403488,
-0.02962404116988182,
-0.02985977567732334,
-0.01234662439674139,
0.008756576105952263,
0.001492988783866167,
-0.013662812300026417,
-0.006851050537079573,
-0.004930791910737753,
-0.04145008325576782,
-0.0478542186319828,
0.006453247740864754,
0.05205816030502319,
0.020803621038794518,
-0.058187272399663925,
-0.03388691693544388,
-0.014409306459128857,
0.0036686270032078028,
-0.006487625651061535,
0.006369757931679487,
-0.007302876096218824,
-0.03736400976777077,
0.0010614217026159167,
0.011767108924686909,
-0.015470114536583424,
0.029250793159008026,
-0.013142229989171028,
0.03015444427728653,
-0.009232956916093826,
0.018220357596874237,
-0.004781002178788185,
-0.02868110127747059,
0.06321629136800766,
0.002291050273925066,
-0.016373764723539352,
0.04942578822374344,
-0.008776220493018627,
0.016658611595630646,
-0.010696479119360447,
0.013024362735450268,
-0.0049995481967926025,
-0.01248413696885109,
-0.036244265735149384,
-0.026755930855870247,
0.0018785138381645083,
0.08895070105791092,
-0.03115631826221943,
-0.008427528664469719,
0.016187142580747604,
-0.01038216520100832,
0.04009460657835007,
0.029447238892316818,
0.07378508150577545,
-0.02072504162788391,
-0.009375380352139473,
0.004601744934916496,
0.013711923733353615,
0.008574862964451313,
0.011629597283899784,
-0.020842909812927246,
-0.01566655933856964,
0.06596653163433075,
0.010981325060129166,
0.0025292409118264914,
0.02767922729253769,
-0.053236838430166245,
0.0071899197064340115,
0.026598773896694183,
-0.025262942537665367,
0.023121681064367294,
0.009453958831727505,
-0.0008232310647144914,
-0.07574953883886337,
-0.01850520260632038,
-0.0038257837295532227,
0.009616026654839516,
-0.0004981745150871575,
0.0020442651584744453,
0.03956420347094536,
0.06466998904943466,
-0.016255898401141167,
0.01941867731511593,
-0.014978999271988869,
0.0755138024687767,
-0.0014352828729897738,
-0.027050599455833435,
-0.03563528507947922,
-0.010225009173154831,
-0.007121163886040449,
-0.039367757737636566,
0.0454968698322773,
-0.01713990420103073,
0.023043103516101837,
-0.060623202472925186,
-0.032727885991334915,
0.050997354090213776,
-0.00926242396235466,
-0.057165756821632385,
0.018976673483848572,
0.021039355546236038,
-0.02003748156130314,
-0.032452862709760666,
-0.05237247422337532,
-0.032020680606365204,
0.03465305641293526,
0.0050241039134562016,
0.03899450972676277,
0.04455392807722092,
0.03188316896557808,
0.01543082483112812,
-0.011197416111826897,
0.060623202472925186,
0.005903199315071106,
-0.007902036421000957,
-0.043100230395793915,
0.004135185852646828,
0.007086785510182381,
0.02198229543864727,
-0.03288504108786583,
-0.0024948627687990665,
-0.012994895689189434,
0.026363039389252663,
-0.02864181064069271,
-0.09358682483434677,
0.025577254593372345,
-0.013692278414964676,
0.03408336266875267,
0.043375253677368164,
0.0028558322228491306,
0.013260098174214363,
-0.05649783834815025,
-0.0726063996553421,
-0.043335963040590286,
0.0050633931532502174,
0.0259308572858572,
-0.019791923463344574,
0.0003031098749488592,
-0.0015973506961017847,
0.04372885450720787,
0.04824711009860039,
0.014507529325783253,
0.017385462298989296,
0.009095445275306702,
-0.04298236221075058,
-0.038896288722753525,
-0.02221802994608879,
-0.05524058640003204,
0.02125544659793377,
0.036440715193748474,
-0.021648338064551353,
0.011678708717226982,
0.001125880517065525,
-0.018446270376443863,
-0.04561473801732063,
-0.02121615596115589,
0.0475006178021431,
0.0030621003825217485,
0.02522365376353264,
-0.04773635417222977,
0.00951780378818512,
0.014635219238698483,
0.042393025010824203,
-0.09177952259778976,
0.07264569401741028,
0.02991870976984501,
-0.09020795673131943,
-0.00909053348004818,
0.006821583490818739,
0.0052843946032226086,
0.02176620438694954,
0.03192245960235596,
0.02249305509030819,
0.06958113610744476,
-0.09696569293737411,
0.009557092562317848,
-0.019202586263418198,
-0.04266804829239845,
0.02123580127954483,
-0.021884072571992874,
0.0031210342422127724,
0.04922934249043465,
0.010588433593511581,
-0.007376543246209621,
0.021805495023727417,
0.05602636933326721,
-0.001235767500475049,
0.038660552352666855,
0.03416194021701813,
-0.009257513098418713,
0.006831406150013208,
0.07547451555728912,
-0.008673085831105709,
-0.029231149703264236,
-0.03414229676127434,
0.0025341520085930824,
0.07146701961755753,
0.02818998508155346,
0.009036511182785034,
-0.017719419673085213,
0.02565583400428295,
-0.04808995500206947,
-0.03830694779753685,
-0.02795425057411194,
0.024850405752658844,
-0.001150436233729124,
0.014949532225728035,
0.009783005341887474,
-0.0365782268345356,
0.004987270105630159,
0.015037933364510536,
-0.036676447838544846,
-0.0024371568579226732,
-0.015116511844098568,
0.021687626838684082,
-0.022846657782793045,
0.015607626177370548,
0.019713345915079117,
0.014949532225728035,
-0.0013051374116912484,
-0.005011825822293758,
-0.06541648507118225,
0.003887173254042864,
0.027541713789105415,
-0.018898095935583115,
0.007622100878506899,
-0.04981867969036102,
0.04545757919549942,
-0.0020012925378978252,
-0.01927134208381176,
-0.02170727215707302,
-0.053511861711740494,
0.042628757655620575,
-0.03207961469888687,
0.03479056805372238,
-0.04388601332902908,
-0.013819968327879906,
-0.024320002645254135,
0.015892472118139267,
0.03750152140855789,
-0.009193668141961098,
0.04824711009860039,
-0.08604329824447632,
0.016638968139886856,
-0.026382682844996452,
0.003391147358343005,
-0.04773635417222977,
-0.011059903539717197,
-0.03380833938717842,
-0.02441822551190853,
-0.03378869220614433,
-0.07838191092014313,
-0.049307920038700104,
0.05044730752706528,
-0.04200013354420662,
-0.07881408929824829,
0.02447715774178505,
-0.0373050756752491,
0.020882198587059975,
-0.04196084290742874,
-0.00137634901329875,
-0.07382436841726303,
0.04168581962585449,
0.07044550031423569,
0.012248401530086994,
-0.012955606915056705,
0.053708307445049286,
-0.020174993202090263,
-0.02942759543657303,
-0.04180368781089783,
0.022060874849557877,
0.030684849247336388,
0.0038356061559170485,
0.02098042145371437,
-0.009493247605860233,
0.02349492907524109,
0.05567276477813721,
-0.03630319982767105,
-0.0032659131102263927,
0.026264816522598267,
0.018731115385890007,
-0.037894412875175476,
0.021884072571992874,
0.002095832023769617,
0.025282585993409157,
-0.02375030890107155,
0.020410727709531784,
0.03205997124314308,
0.01297525130212307,
0.010116963647305965,
0.015116511844098568,
-0.025007562711834908,
-0.004515800159424543,
-0.002138804644346237,
0.03565492853522301,
-0.006566204130649567,
-0.029604395851492882,
-0.05602636933326721,
-0.0066938940435647964,
-0.01075541228055954,
-0.013770856894552708,
0.06706662476062775,
-0.026382682844996452,
-0.01916329748928547,
-0.07508162409067154,
0.03671573847532272,
-0.04007496312260628,
-0.011943910270929337,
0.01233680173754692,
-0.017424751073122025,
0.00007888530672062188,
0.03451554477214813,
0.00485958019271493,
-0.0019902423955500126,
-0.027836382389068604,
-0.011501907370984554,
0.016354121267795563,
0.045811183750629425,
0.01063754502683878,
-0.029466884210705757,
0.014870954677462578,
0.012189467437565327,
0.002659386256709695,
-0.005117415450513363,
-0.01556833740323782,
0.009021777659654617,
-0.0161969643086195,
0.03677467256784439,
0.030272312462329865,
-0.003459903411567211,
0.028347142040729523,
-0.033258289098739624,
-0.027227401733398438,
0.036224622279405594,
-0.03443696349859238,
-0.03262966126203537,
0.03170636668801308,
0.005264749750494957,
0.026107659563422203,
0.020842909812927246,
0.01948743313550949,
-0.04325738549232483,
-0.036676447838544846,
0.01632465422153473,
0.021923361346125603,
0.008874443359673023,
-0.031175963580608368,
0.014772730879485607,
0.058698032051324844,
-0.00956200435757637,
-0.05759793519973755,
-0.006369757931679487,
0.012425202876329422,
0.02172691561281681,
0.011659063398838043,
0.0374818779528141,
0.013368142768740654,
0.01097150333225727,
0.02227696403861046,
-0.0007894669543020427,
-0.009969629347324371,
-0.008781131356954575,
-0.012140356004238129,
-0.016570210456848145,
-0.00513214897364378,
0.04223586618900299,
-0.014458417892456055,
-0.020941132679581642,
0.021687626838684082,
0.09641564637422562,
-0.003906817641109228,
0.0202928613871336,
0.029329372569918633,
0.002941777231171727,
-0.03335651382803917,
0.00408607441931963,
0.03310113400220871,
0.0393088236451149,
0.010333053767681122,
-0.05488698184490204,
-0.01493971049785614,
-0.026363039389252663,
-0.014036059379577637,
-0.012503781355917454,
-0.008201615884900093,
0.05539774149656296,
-0.000927592976950109,
0.029545461758971214,
0.013702101074159145,
-0.011649241670966148,
-0.005117415450513363,
-0.027816738933324814,
0.03911237791180611,
0.051272377371788025,
0.011069726198911667,
0.008550307713449001,
-0.01903560757637024,
-0.0068412283435463905,
0.03066520392894745,
0.00385770620778203,
0.004115541465580463,
-0.05504414066672325,
0.017405105754733086,
0.039132021367549896,
0.029015058651566505,
0.020391084253787994,
0.004255509003996849,
-0.005996510852128267,
0.03017408959567547,
0.017984621226787567,
-0.006350113544613123,
0.015971051529049873,
-0.0004668659530580044,
0.0015592892887070775,
-0.0004183683777227998,
0.018259646371006966,
-0.006443425547331572,
-0.03378869220614433,
0.036951471120119095,
-0.006428692024201155,
-0.03911237791180611,
-0.016963103786110878,
0.018947206437587738,
-0.025125429034233093,
0.017365816980600357,
0.02268950082361698,
0.04698985815048218,
-0.013898546807467937,
-0.0019411309622228146,
0.017238127067685127,
-0.001571567147038877,
-0.01184568740427494,
0.016314830631017685,
0.007941325195133686,
-0.03926953300833702,
-0.005230371840298176,
-0.00692471768707037,
-0.018583782017230988,
-0.011629597283899784,
0.053276125341653824,
0.021137578412890434,
-0.07963916659355164,
-0.018348045647144318,
0.0006025363691151142,
-0.008152504451572895,
0.013967303559184074,
-0.003079289337620139,
0.03830694779753685,
0.0050732153467834,
-0.01713990420103073,
0.02245376631617546,
0.02795425057411194,
0.025046851485967636,
0.03579244017601013,
0.0017483684932813048,
0.05319754779338837,
-0.0005970113561488688,
-0.028582878410816193,
0.04156795144081116,
0.019772280007600784,
-0.022885946556925774,
-0.0021658160258084536,
0.050486594438552856,
-0.0036342490930110216,
0.018976673483848572,
-0.01865253783762455,
0.003793861251324415,
0.0405857227742672,
0.04989725723862648,
0.00019230211910326034,
0.009424491785466671,
0.035929955542087555,
0.009576736949384212,
-0.03561564162373543,
-0.0538654625415802,
-0.011767108924686909,
0.01234662439674139,
-0.0373050756752491,
0.024359291419386864,
0.018406979739665985,
0.00771541241556406,
0.01172782015055418,
-0.026873799040913582,
-0.0513116680085659,
-0.056930020451545715,
-0.024516448378562927,
-0.033513668924570084,
-0.007749790325760841,
0.0180140882730484,
0.04887573793530464,
-0.008948110044002533,
-0.007617189548909664,
0.0035188370384275913,
-0.022375186905264854,
-0.021078644320368767,
0.04824711009860039,
0.010333053767681122,
0.005976866465061903,
-0.08667192608118057,
-0.030743783339858055,
0.02245376631617546,
-0.022610923275351524,
-0.01122688315808773,
-0.022198386490345,
-0.026343394070863724,
-0.02744349092245102,
-0.01298507396131754,
0.04325738549232483,
0.0008220032905228436,
0.0293883066624403,
-0.03211890533566475,
-0.01668807864189148,
0.003418158506974578,
0.026579130440950394,
0.02050895057618618,
0.05111522227525711,
0.02966332994401455,
0.06431638449430466,
0.014144103974103928,
-0.04074287787079811,
-0.026127304881811142,
0.056458551436662674,
0.02791496179997921,
-0.016167497262358665,
-0.05311897024512291,
-0.015764782205224037,
0.016118384897708893,
0.04266804829239845,
0.016108563169836998,
-0.01743457280099392,
-0.006988562643527985,
0.0032659131102263927,
0.02443786896765232,
0.006811761297285557,
0.015362069010734558,
0.017709597945213318,
0.030016932636499405,
0.018878450617194176,
0.000555573555175215,
0.000040018177969614044,
0.020646464079618454,
-0.021903717890381813,
0.008275283500552177,
-0.014409306459128857,
0.013436899520456791,
-0.034495897591114044,
-0.034181587398052216,
-0.002502229530364275,
-0.030979517847299576,
-0.008245816454291344,
0.00649253698065877,
-0.019173119217157364,
0.02245376631617546,
-0.03993745148181915,
0.04078216850757599,
-0.0478542186319828,
0.031175963580608368,
-0.04726488143205643,
-0.006315735634416342,
0.03801228106021881,
0.019477609544992447,
-0.02202158421278,
0.03357260301709175,
0.026559485122561455,
-0.008560129441320896,
0.06321629136800766,
0.038955219089984894,
0.013004718348383904,
-0.014782553538680077,
-0.021864427253603935,
0.0033027466852217913,
0.043807435780763626,
0.033690471202135086,
-0.0027453312650322914,
-0.004862036090344191,
-0.05983741953969002,
-0.00042726981337182224,
-0.017621196806430817,
0.065887950360775,
-0.04451464116573334,
-0.016894346103072166,
-0.05708717554807663,
-0.03981958329677582,
0.004633667413145304,
-0.07457086443901062,
0.04278591647744179,
-0.02665770798921585,
-0.0151950903236866,
-0.03282611072063446,
-0.0301151555031538,
-0.0021866883616894484,
0.027836382389068604,
0.0067921169102191925,
0.014959354884922504,
0.008358772844076157,
-0.020076770335435867,
0.06867748498916626,
-0.004407754633575678,
-0.025400454178452492,
-0.020066948607563972,
0.03306184336543083,
-0.026834508404135704,
0.010126786306500435,
0.002496090717613697,
0.011217060498893261,
0.0060505336150527,
-0.01035269908607006,
0.01209124457091093,
-0.041371505707502365,
-0.05213674157857895,
0.0387587733566761,
0.003599870949983597,
0.04365027695894241,
0.0066938940435647964,
-0.0014905332354828715,
0.029073992744088173,
0.008805687539279461,
-0.012955606915056705,
-0.06793098896741867,
0.03974100574851036,
0.0011449112789705396,
-0.02227696403861046,
-0.008943199180066586,
-0.0529618114233017,
0.009665138088166714,
0.005780420266091824,
-0.04691128060221672,
-0.015931762754917145,
0.02591121383011341,
0.007121163886040449,
-0.011207237839698792,
-0.027541713789105415,
0.0028779322747141123,
-0.006433602888137102,
0.011079548858106136,
0.008864620700478554,
-0.020960776135325432,
0.008427528664469719,
-0.013053829781711102,
0.025498677045106888,
-0.015843361616134644,
0.012120711617171764,
-0.025282585993409157,
0.018465913832187653,
0.000619418453425169,
-0.014880776405334473,
-0.01621660776436329,
0.005976866465061903,
0.010951858945190907,
0.01878022775053978,
-0.045850470662117004,
-0.005672375205904245,
0.03972135856747627,
-0.006900161970406771,
0.0024261067155748606,
0.0293883066624403,
-0.010608077980577946,
0.024830760434269905,
0.012209112755954266,
0.01481202058494091,
-0.01038216520100832,
-0.023848531767725945,
-0.02294488064944744,
0.0046140230260789394,
-0.025852279737591743,
0.023121681064367294,
-0.007248853333294392,
-0.027718516066670418,
0.013770856894552708,
-0.0015003555454313755,
-0.05366901680827141,
0.006949273403733969,
-0.026638062670826912,
-0.027305979281663895,
-0.02321990393102169,
0.028229275718331337,
-0.021785849705338478,
0.021903717890381813,
0.013751212507486343,
0.03479056805372238,
-0.020646464079618454,
-0.009002133272588253,
0.0252040084451437,
0.05304039269685745,
-0.015126333571970463,
0.04455392807722092,
-0.03333686664700508,
-0.014635219238698483,
-0.023671729490160942,
-0.017837287858128548,
0.04372885450720787,
-0.03261001780629158,
0.029977643862366676,
-0.001987786963582039,
-0.0012468175264075398,
-0.021353669464588165,
0.02862216718494892,
0.015401357784867287,
0.003187334630638361,
-0.005760775879025459,
0.011560840532183647,
-0.027109533548355103,
0.027757804840803146,
-0.010902747511863708,
-0.0003962682094424963,
-0.014900420792400837,
-0.010814346373081207,
0.00992542877793312,
-0.017080970108509064,
-0.05068304017186165,
0.05111522227525711,
-0.011737641878426075,
-0.042393025010824203,
-0.050525885075330734,
-0.008707464672625065,
-0.030056221410632133,
0.02394675463438034,
-0.06907037645578384,
-0.032020680606365204,
0.003980484791100025,
0.05535845458507538,
0.001088433084078133,
0.037914056330919266,
0.03565492853522301,
0.019899969920516014,
0.0059179323725402355,
-0.04537900164723396,
0.006001422181725502,
0.000893214950338006,
-0.016501454636454582,
-0.023534217849373817,
-0.0026323748752474785,
-0.018004266545176506,
0.04671483486890793,
0.01556833740323782,
0.04101790115237236,
0.043610990047454834,
0.02642197348177433,
-0.043375253677368164,
0.023377060890197754,
-0.018367690965533257,
-0.021628692746162415,
0.023180615156888962,
-0.023671729490160942,
-0.013328853994607925,
0.006649693474173546,
0.005141971167176962,
-0.07213493436574936,
0.021353669464588165,
0.02300381474196911,
0.018583782017230988,
0.024300357326865196,
-0.038130149245262146,
0.0029024879913777113,
0.006281357258558273,
0.008898998610675335,
-0.040173184126615524,
-0.035163816064596176,
0.0047859130427241325,
-0.044357482343912125,
0.006011244375258684,
0.01347618829458952,
-0.009684782475233078,
0.005785331595689058,
-0.03972135856747627,
-0.006286268588155508,
-0.001655056606978178,
-0.00996471755206585,
-0.038660552352666855,
-0.01963476650416851,
-0.04172510653734207,
0.008722197264432907,
-0.03314042091369629,
-0.00042420034878887236,
-0.02127509005367756,
0.002130210166797042,
0.05806940793991089,
-0.032747529447078705,
-0.03205997124314308,
0.0159219391644001,
-0.03259037435054779,
-0.018151599913835526,
0.011806398630142212,
-0.032256416976451874,
0.026598773896694183,
0.005166526883840561,
-0.007435477338731289,
0.008815509267151356,
-0.0018318579532206059,
0.00477609084919095,
-0.05649783834815025,
0.008093571290373802,
-0.022100163623690605,
0.01765066385269165,
0.0048988694325089455,
0.0036686270032078028,
-0.025537965819239616,
-0.016098741441965103,
-0.003744749817997217,
0.017611375078558922,
0.02542009949684143,
0.013112763874232769,
0.0027355090714991093,
0.03192245960235596,
-0.03188316896557808,
0.05406191200017929,
-0.02740420214831829,
0.030449112877249718,
0.015391536056995392,
0.036165688186883926,
-0.018603425472974777,
0.014635219238698483,
0.039917804300785065,
0.03722649812698364,
0.0022579000797122717,
-0.0012658482883125544,
0.000739127688575536,
0.02443786896765232,
-0.01360387820750475,
-0.041842974722385406,
-0.01861324906349182,
-0.02567547932267189,
0.050486594438552856,
0.011118837632238865,
-0.013731568120419979,
-0.02200194075703621
] |
Neural networks (NNs) have various applications in AI, but explaining their
decisions remains challenging. Existing approaches often focus on explaining
how changing individual inputs affects NNs' outputs. However, an explanation
that is consistent with the input-output behaviour of an NN is not necessarily
faithful to the actual mechanics thereof. In this paper, we exploit
relationships between multi-layer perceptrons (MLPs) and quantitative
argumentation frameworks (QAFs) to create argumentative explanations for the
mechanics of MLPs. Our SpArX method first sparsifies the MLP while maintaining
as much of the original structure as possible. It then translates the sparse
MLP into an equivalent QAF to shed light on the underlying decision process of
the MLP, producing global and/or local explanations. We demonstrate
experimentally that SpArX can give more faithful explanations than existing
approaches, while simultaneously providing deeper insights into the actual
reasoning process of MLPs. | [
-0.020565485581755638,
-0.022747455164790154,
-0.04150895029306412,
-0.026784956455230713,
0.0802689641714096,
0.019809529185295105,
0.02939644642174244,
0.003900054609403014,
-0.021733785048127174,
0.01987825147807598,
-0.018125804141163826,
-0.014904393814504147,
0.02525586076080799,
0.01368455309420824,
-0.029740063473582268,
0.01757601648569107,
0.02319415844976902,
-0.013040270656347275,
-0.0038506595883518457,
-0.043673738837242126,
0.020617028698325157,
0.013237850740551949,
-0.025204317644238472,
-0.008075002580881119,
0.03240309655666351,
0.01676851697266102,
0.021819688379764557,
-0.005691159050911665,
-0.07662662118673325,
0.08061258494853973,
0.0098961740732193,
0.02736910618841648,
0.00793326087296009,
0.016631070524454117,
-0.02656160481274128,
-0.019242560490965843,
0.029465170577168465,
-0.006580268498510122,
0.0071601225063204765,
0.10308514535427094,
0.018091442063450813,
0.00594457658007741,
0.034516341984272,
-0.0299634151160717,
-0.032196927815675735,
-0.012189818546175957,
-0.03140660747885704,
-0.04480767622590065,
-0.029551075771450996,
-0.02046240121126175,
0.03711065277457237,
-0.005012515000998974,
0.011124605312943459,
0.015789208933711052,
0.02704267017543316,
0.016871601343154907,
0.00646000262349844,
-0.024259371683001518,
0.026424158364534378,
-0.0020949908066540956,
0.02728320099413395,
0.05745278671383858,
-0.02295362576842308,
-0.030032139271497726,
-0.00746937794610858,
-0.0671427920460701,
0.04408608004450798,
-0.04106225073337555,
-0.03432735428214073,
-0.038244590163230896,
-0.03948161005973816,
0.025771286338567734,
-0.013366707600653172,
-0.01767910271883011,
0.007589643821120262,
0.014045351184904575,
0.03030703216791153,
0.058861616998910904,
0.01599537767469883,
0.03872565180063248,
0.02776426635682583,
0.0029314837884157896,
-0.016579527407884598,
0.0011350103886798024,
0.03951597213745117,
0.002401024801656604,
0.061644915491342545,
-0.04831257089972496,
-0.0053475419990718365,
-0.017258170992136,
-0.06264140456914902,
-0.02632107399404049,
-0.012971547432243824,
-0.012129685841500759,
0.02718011662364006,
-0.0037926742807030678,
0.05119895562529564,
-0.000817164545878768,
-0.024946605786681175,
0.0053088851273059845,
-0.03376038372516632,
0.013761866837739944,
0.022541284561157227,
0.03169868141412735,
0.015574446879327297,
0.008873912505805492,
-0.011347956024110317,
-0.011365137062966824,
0.005377608351409435,
0.15449027717113495,
0.0048235259018838406,
0.01771346479654312,
-0.033451128751039505,
-0.05470385029911995,
0.021527614444494247,
0.005098419263958931,
-0.06161055341362953,
-0.02680213749408722,
-0.025273041799664497,
-0.006636106409132481,
0.008354191668331623,
0.047281719744205475,
0.04700682684779167,
-0.004250114783644676,
-0.0371793769299984,
0.08191832900047302,
0.03673267364501953,
0.015978196635842323,
-0.002032710239291191,
-0.0019360678270459175,
0.00484070647507906,
0.0521610826253891,
-0.01701764017343521,
-0.05910215154290199,
-0.0387943759560585,
0.018813038244843483,
-0.004582993686199188,
-0.0029486645944416523,
0.0157806184142828,
-0.03415554389357567,
-0.0032257060520350933,
-0.02449990250170231,
0.00020200929429847747,
-0.05604395642876625,
0.05982374772429466,
-0.03492868319153786,
0.006837981287389994,
0.07092258334159851,
-0.05704044550657272,
0.04504820704460144,
-0.03817586600780487,
0.03197357431054115,
0.008470162749290466,
0.004179243464022875,
0.047900229692459106,
-0.006898114457726479,
-0.03377756476402283,
-0.01958617754280567,
0.008332716301083565,
-0.011030110530555248,
0.0500306561589241,
-0.022747455164790154,
-0.01800553873181343,
0.039859589189291,
0.03697320446372032,
0.016579527407884598,
-0.04037501662969589,
0.0064428215846419334,
-0.06006427854299545,
0.05119895562529564,
0.011511174961924553,
0.02728320099413395,
-0.024310912936925888,
0.019964156672358513,
0.035134851932525635,
0.021390167996287346,
-0.005699749570339918,
0.011777478270232677,
-0.052470337599515915,
-0.015394048765301704,
-0.06497800350189209,
-0.03669831156730652,
-0.002849874785169959,
-0.012782557867467403,
0.005828605964779854,
0.034980226308107376,
0.07648918032646179,
-0.020050060003995895,
0.05133640393614769,
-0.041612036526203156,
0.0006072359392419457,
0.011691573075950146,
0.014028170146048069,
-0.024259371683001518,
-0.012997318990528584,
-0.025341764092445374,
-0.014045351184904575,
-0.02626953087747097,
0.002671623369678855,
0.014234340749680996,
-0.05470385029911995,
-0.05401661619544029,
-0.005089829210191965,
-0.019998518750071526,
0.015668941661715508,
0.005003924947232008,
0.013134765438735485,
-0.013693143613636494,
0.019775167107582092,
-0.032626450061798096,
0.03525511920452118,
0.004806344863027334,
-0.05690300092101097,
-0.05432587116956711,
-0.04820948466658592,
-0.02003287896513939,
-0.006236651446670294,
-0.014182797633111477,
-0.017730645835399628,
-0.0267505943775177,
0.015574446879327297,
0.024895062670111656,
0.017799368128180504,
0.03779788687825203,
0.0633973628282547,
-0.011528355069458485,
-0.048724912106990814,
-0.023709584027528763,
0.0002028146554948762,
0.039069268852472305,
-0.053329382091760635,
0.0010646762093529105,
0.009526785463094711,
-0.0197923481464386,
0.0323687344789505,
-0.01848660223186016,
0.012249951250851154,
-0.005304589867591858,
-0.008839551359415054,
0.03405246138572693,
-0.06085459887981415,
0.03779788687825203,
0.0005739480257034302,
-0.017885273322463036,
0.06456566601991653,
-0.03319341689348221,
-0.012533435598015785,
-0.00624524150043726,
0.009234710596501827,
0.02405320107936859,
0.016089873388409615,
-0.0044927941635251045,
0.03999703750014305,
0.02852022275328636,
-0.04336448386311531,
0.0035414041485637426,
0.034121181815862656,
-0.04570108279585838,
-0.0003548920794855803,
-0.016055511310696602,
0.06655864417552948,
0.016485033556818962,
0.024259371683001518,
0.0716785341501236,
-0.04965267702937126,
-0.008139431476593018,
0.017326895147562027,
0.006657582242041826,
-0.007409244775772095,
0.0076626623049378395,
0.04999629408121109,
-0.047659698873758316,
-0.01755024679005146,
-0.02934490516781807,
0.011279232800006866,
-0.04576980322599411,
0.010299923829734325,
0.008354191668331623,
0.016381947323679924,
0.02151043340563774,
-0.03721373900771141,
-0.0179196335375309,
-0.01955181546509266,
0.04793459177017212,
-0.001509767840616405,
-0.0012885642936453223,
-0.027162935584783554,
-0.03322777897119522,
-0.08947790414094925,
0.020479582250118256,
-0.02353777550160885,
0.004827821161597967,
-0.04992757365107536,
0.009217530488967896,
0.04047809913754463,
0.016055511310696602,
-0.004591584205627441,
-0.0016547313425689936,
0.0746336430311203,
-0.02027341164648533,
-0.07772620022296906,
0.003459795145317912,
0.01958617754280567,
0.025290222838521004,
-0.010480322875082493,
0.041474588215351105,
0.00664040120318532,
0.13923366367816925,
-0.022369476035237312,
0.04212746396660805,
0.03528948128223419,
0.03965342044830322,
-0.002394581912085414,
0.0018200970953330398,
-0.03121761791408062,
0.01642489992082119,
0.03776352480053902,
-0.07044151425361633,
0.028159424662590027,
-0.05662810802459717,
0.03577054664492607,
-0.012859871610999107,
-0.09944280236959457,
0.030032139271497726,
0.014388968236744404,
0.019225379452109337,
0.002135795308277011,
0.03673267364501953,
-0.023572135716676712,
-0.018177347257733345,
-0.03793533518910408,
-0.000724280544091016,
-0.03212820366024971,
-0.028399957343935966,
0.003197787096723914,
-0.024242190644145012,
-0.014689633622765541,
0.05374172329902649,
-0.020926283672451973,
-0.05058044567704201,
0.01005939207971096,
0.015497133135795593,
-0.024121923372149467,
-0.029894692823290825,
-0.029602617025375366,
-0.09490706026554108,
-0.04810640215873718,
-0.004278033506125212,
0.014586548320949078,
-0.012567797675728798,
0.0009497792925685644,
0.03669831156730652,
0.01843506097793579,
-0.007022675592452288,
-0.028709212318062782,
-0.023761125281453133,
-0.02054830640554428,
0.0494808703660965,
0.027918893843889236,
0.04315831512212753,
0.06673044711351395,
-0.020909104496240616,
-0.048621825873851776,
0.044979486614465714,
-0.07264066487550735,
-0.03221410885453224,
-0.03635469451546669,
0.002068145666271448,
-0.010248381644487381,
0.002437534276396036,
-0.0163218155503273,
0.10892663896083832,
-0.013873542658984661,
0.017644740641117096,
0.015325324609875679,
-0.02852022275328636,
0.029619798064231873,
0.00022925707162357867,
-0.06535597890615463,
0.04941214621067047,
-0.0371793769299984,
-0.019912613555788994,
-0.03020394779741764,
0.04047809913754463,
-0.07319045066833496,
0.015651760622859,
-0.016708383336663246,
0.003979516215622425,
0.002401024801656604,
-0.002637261524796486,
0.023829849436879158,
-0.006614630110561848,
-0.03989395126700401,
-0.06690225750207901,
0.06789875030517578,
0.0011801101500168443,
0.0056954543106257915,
-0.022146126255393028,
0.04827820882201195,
0.019191017374396324,
-0.038828738033771515,
0.0009739398374222219,
-0.02522149868309498,
-0.03769480064511299,
-0.036526504904031754,
0.037385545670986176,
-0.009406519122421741,
-0.01416561659425497,
0.03175022453069687,
0.024843519553542137,
0.01724958047270775,
0.004956677556037903,
-0.0230051688849926,
-0.03427581116557121,
0.01416561659425497,
0.03553001210093498,
-0.04037501662969589,
0.01805708184838295,
-0.008216745220124722,
-0.030753735452890396,
0.04350193217396736,
0.02353777550160885,
-0.022455381229519844,
-0.006885228678584099,
-0.0266131479293108,
0.03178458660840988,
-0.0028520224150270224,
-0.03827895224094391,
0.033502671867609024,
-0.021201178431510925,
0.019757986068725586,
-0.031475331634283066,
0.011605668812990189,
-0.0473504438996315,
-0.04831257089972496,
-0.020479582250118256,
-0.0802689641714096,
0.01277396734803915,
-0.008891093544661999,
0.01658811792731285,
-0.011459631845355034,
-0.007980508729815483,
-0.020204689353704453,
-0.0013164832489565015,
-0.05460076406598091,
-0.002045595785602927,
0.007409244775772095,
-0.041130971163511276,
-0.03779788687825203,
-0.011897743679583073,
-0.03549565002322197,
0.017292533069849014,
-0.05504746735095978,
-0.024551445618271828,
0.013023089617490768,
-0.009097264148294926,
-0.03381192684173584,
-0.030599107965826988,
0.04436097294092178,
-0.0551161915063858,
0.01610705442726612,
0.055253636091947556,
0.0127052441239357,
-0.025462031364440918,
-0.027317563071846962,
0.0521610826253891,
-0.02506687119603157,
0.0016686908202245831,
0.019775167107582092,
-0.023159796372056007,
0.01200941950082779,
-0.014019579626619816,
0.013882133178412914,
-0.007177303079515696,
0.027145754545927048,
0.0631224736571312,
-0.012241360731422901,
-0.09909918904304504,
0.027936074882745743,
0.0018082852475345135,
0.032626450061798096,
-0.005261637736111879,
0.0021819688845425844,
0.06844853609800339,
-0.02881229855120182,
-0.022833360359072685,
-0.004857887513935566,
-0.000056408243835903704,
0.007714204955846071,
-0.06271012872457504,
-0.0043467567302286625,
-0.05205800011754036,
0.005240161437541246,
-0.016948916018009186,
-0.009921945631504059,
-0.03886310011148453,
-0.00024241115897893906,
-0.007396358996629715,
0.0845298171043396,
0.05793385207653046,
0.022403838112950325,
-0.03972214087843895,
-0.0064213452860713005,
0.051027145236730576,
0.007207369897514582,
-0.001771775889210403,
-0.03144096955657005,
0.010549046099185944,
0.031389426440000534,
-0.023658040910959244,
0.05360427498817444,
-0.028606127947568893,
0.040271930396556854,
-0.027695542201399803,
0.012232770211994648,
-0.022111764177680016,
0.014363196678459644,
-0.017077771946787834,
0.06016736477613449,
0.04638831689953804,
0.01238739863038063,
-0.041749484837055206,
-0.017971176654100418,
0.06717715412378311,
-0.007963327690958977,
0.04697246477007866,
0.009415109641849995,
-0.019998518750071526,
0.012421759776771069,
0.006722010672092438,
0.029138734564185143,
0.019775167107582092,
-0.01292000524699688,
0.001296080881729722,
0.006331145763397217,
-0.0055107600055634975,
0.023365966975688934,
0.016966097056865692,
-0.03766043856739998,
-0.028296872973442078,
-0.027437830343842506,
0.03741990774869919,
0.044738952070474625,
0.05466948822140694,
-0.04408608004450798,
0.008925455622375011,
0.03154405578970909,
-0.021252721548080444,
-0.025152774527668953,
0.014878622256219387,
-0.01776500605046749,
-0.0028069226536899805,
-0.00033797966898418963,
0.0006791807827539742,
0.001270309672690928,
-0.03233437240123749,
-0.008001984097063541,
0.0024826338049024343,
-0.014131255447864532,
0.0007124686962924898,
-0.0024246484972536564,
0.004260852467268705,
0.0066532869823277,
-0.03351985290646553,
-0.012438940815627575,
-0.026183627545833588,
-0.012928594835102558,
0.10452833771705627,
0.0018050638027489185,
0.023365966975688934,
-0.02041085809469223,
0.0001939557696459815,
0.010076573118567467,
0.03362293913960457,
-0.008306944742798805,
0.027729904279112816,
0.016751335933804512,
-0.038244590163230896,
0.0040675681084394455,
-0.0006716641364619136,
-0.018280431628227234,
-0.012834100984036922,
-0.013710324652493,
0.045838527381420135,
-0.0005001240060664713,
0.024173466488718987,
-0.0024783387780189514,
-0.022592827677726746,
-0.03975650295615196,
-0.006795029155910015,
-0.0027875942178070545,
0.03559873625636101,
0.005072648171335459,
0.005253047216683626,
-0.0014507086016237736,
0.031148893758654594,
0.04686937853693962,
-0.06559651345014572,
0.025685381144285202,
-0.05508182942867279,
0.004613060038536787,
-0.04882799834012985,
0.04085607826709747,
0.015522904694080353,
0.026235168799757957,
0.0024182056076824665,
0.015376867726445198,
0.015325324609875679,
0.0007017306634224951,
0.01226713228970766,
-0.03185331076383591,
-0.035134851932525635,
0.026681872084736824,
-0.04470458999276161,
0.01864122971892357,
-0.016381947323679924,
0.02549639344215393,
-0.02900128811597824,
0.010334285907447338,
0.01400239858776331,
0.024998147040605545,
-0.012636520899832249,
0.08824088424444199,
-0.01848660223186016,
0.004827821161597967,
0.0585867241024971,
-0.005605254787951708,
-0.025857189670205116,
0.01596960797905922,
0.036767035722732544,
-0.060201723128557205,
0.00573840644210577,
0.020874742418527603,
0.013933675363659859,
-0.009320614859461784,
-0.009208939969539642,
-0.010892664082348347,
0.04985884949564934,
0.003610127605497837,
0.04126841947436333,
0.010652131401002407,
-0.009930535219609737,
-0.012103914283216,
0.04879363626241684,
-0.013933675363659859,
-0.004784869030117989,
0.019002027809619904,
-0.02795325592160225,
0.03783224895596504,
0.006150747183710337,
0.002278611296787858,
0.024190647527575493,
0.009913355112075806,
0.03327932208776474,
0.016897372901439667,
-0.023692402988672256,
0.06855162233114243,
-0.0187271349132061,
0.03295288607478142,
0.0039537446573376656,
0.01096997782588005,
0.02482633851468563,
-0.004892249125987291,
0.027437830343842506,
0.019723623991012573,
-0.06817363947629929,
-0.02453426457941532,
0.014560776762664318,
-0.01340106874704361,
0.05893034115433693,
-0.04491076245903969,
0.024431180208921432,
-0.05566597729921341,
0.057418424636125565,
0.0017127167666330934,
-0.0045314510352909565,
0.006893819198012352,
-0.007533805910497904,
0.027643999084830284,
-0.026183627545833588,
-0.01771346479654312,
0.010497503913939,
-0.0071987793780863285,
0.0009132699342444539,
-0.03855384513735771,
-0.011141786351799965,
0.0200672410428524,
-0.002081031445413828,
0.0004254946834407747,
-0.009286253713071346,
-0.013796228915452957,
-0.038244590163230896,
0.006739191245287657,
0.005686863791197538,
0.04999629408121109,
0.012636520899832249,
0.014990298077464104,
0.01810862310230732,
-0.006163632497191429,
0.002135795308277011,
-0.002652294933795929,
0.03577054664492607,
-0.000915954471565783,
0.017567425966262817,
-0.026303892955183983,
-0.013770457357168198,
0.013856361620128155,
0.00845298171043396,
-0.025290222838521004,
0.008504524827003479,
0.026905223727226257,
0.02565102092921734,
0.04951523244380951,
0.041234057396650314,
0.023847030475735664,
0.06597449630498886,
0.02338314615190029,
-0.020445220172405243,
-0.014242931269109249,
0.0460103377699852,
0.030169585719704628,
0.01131359487771988,
-0.02522149868309498,
-0.02453426457941532,
-0.0033695956226438284,
0.041234057396650314,
0.004497089423239231,
0.012653701938688755,
-0.00171056913677603,
0.004151324741542339,
-0.0009578327881172299,
-0.02228357270359993,
-0.03656086325645447,
0.006537316367030144,
-0.01412266492843628,
-0.02704267017543316,
0.02319415844976902,
0.03418990597128868,
0.011055882088840008,
0.04532310366630554,
0.03470533341169357,
0.010909844189882278,
0.014174207113683224,
-0.02833123318850994,
-0.008925455622375011,
0.010205429047346115,
-0.02776426635682583,
-0.042711611837148666,
-0.011803248897194862,
0.060682788491249084,
0.021441711112856865,
-0.029465170577168465,
0.0628819391131401,
-0.028365595266222954,
-0.03185331076383591,
0.015333915129303932,
0.03025549091398716,
0.0012756786309182644,
-0.008255401626229286,
-0.0175244752317667,
-0.013366707600653172,
0.050065018236637115,
-0.006331145763397217,
0.03961905837059021,
0.047144271433353424,
0.016751335933804512,
-0.007774338126182556,
-0.010093754157423973,
0.01421715971082449,
-0.02166506089270115,
0.0287607554346323,
0.006941066589206457,
-0.004991039168089628,
-0.048862360417842865,
-0.018503783270716667,
-0.0017481523100286722,
-0.005815720185637474,
-0.0219399556517601,
0.0005068352911621332,
0.014148436486721039,
-0.0050168102607131,
-0.0035027472767978907,
0.006189404055476189,
0.03731682151556015,
-0.012808329425752163,
-0.02809070236980915,
0.0023795487359166145,
-0.07353407144546509,
-0.014629499986767769,
0.026664691045880318,
0.0037046223878860474,
-0.01586652174592018,
-0.019328463822603226,
-0.0084272101521492,
0.04759097471833229,
-0.05119895562529564,
-0.0030968496575951576,
0.005824310705065727,
0.00045663496712222695,
-0.04810640215873718,
0.017971176654100418,
-0.04759097471833229,
0.0051628476940095425,
0.02132144384086132,
-0.000548982061445713,
0.010892664082348347,
-0.036663949489593506,
0.015737665817141533,
-0.005192914046347141,
-0.0029035648331046104,
0.030341394245624542,
0.02228357270359993,
0.01676851697266102,
0.07504598796367645,
0.039309803396463394,
0.010909844189882278,
-0.013452611863613129,
0.04515129327774048,
-0.009320614859461784,
-0.0374542698264122,
-0.05968629941344261,
-0.06370662152767181,
0.0024074676912277937,
0.010643540881574154,
-0.042917780578136444,
-0.05580342561006546,
0.032007936388254166,
-0.00115541263949126,
0.03480841591954231,
-0.006481478456407785,
-0.007735681254416704,
0.032970067113637924,
-0.04662884771823883,
0.00856036227196455,
-0.04590725153684616,
0.017258170992136,
-0.024276550859212875,
0.013942265883088112,
0.012748196721076965,
0.008925455622375011,
0.010093754157423973,
0.04030629247426987,
0.018606869503855705,
-0.03790097311139107,
-0.01816016621887684,
0.0007205221918411553,
0.010557636618614197,
0.002068145666271448,
0.006880933418869972,
0.024259371683001518,
-0.04006575793027878,
-0.012327264994382858,
0.017696283757686615,
0.012121095322072506,
-0.01229290384799242,
-0.04350193217396736,
0.042333632707595825,
0.03577054664492607,
-0.01145104132592678,
-0.018125804141163826,
0.027111392468214035,
0.043295759707689285,
0.007095694076269865,
-0.0395846962928772,
-0.00866774283349514,
-0.051370762288570404,
-0.010445961728692055,
-0.0255479346960783,
-0.013255031779408455,
-0.0473504438996315,
0.008272582665085793,
0.002841284265741706,
-0.014861442148685455,
0.03223128989338875,
0.03303878754377365,
0.024276550859212875,
-0.023606497794389725,
-0.013315164484083652,
0.042471081018447876,
0.02570256218314171,
-0.029619798064231873,
-0.015110564418137074,
0.016201548278331757,
0.025427669286727905,
0.01282551046460867,
-0.0076454817317426205,
-0.012189818546175957,
-0.07305300980806351,
-0.02530740387737751,
-0.0310286283493042,
-0.023829849436879158,
0.01974080502986908,
-0.010772397741675377,
-0.0169832780957222,
0.020977826789021492,
-0.014466281980276108,
-0.017112134024500847,
0.02905282936990261,
0.0034146953839808702,
0.0009411888313479722,
0.018142985180020332,
-0.001439970568753779,
-0.04769406095147133,
-0.0433301217854023,
0.012731015682220459,
-0.027386287227272987,
-0.0028777937404811382,
-0.015394048765301704,
0.04587288945913315,
-0.017490113154053688,
0.002843431895598769,
-0.017644740641117096,
0.007005494553595781,
-0.007074218243360519,
-0.00021650565031450242,
0.010729445144534111,
-0.02381266839802265,
-0.012155456468462944,
-0.01027415320277214,
0.03903490677475929,
0.04532310366630554,
0.044979486614465714,
0.007138646207749844,
-0.005884443875402212,
-0.0048235259018838406,
0.03381192684173584,
-0.04625086858868599,
-0.005407674703747034,
-0.0028369890060275793,
0.0039215306751430035,
-0.00993912573903799,
0.018211709335446358,
0.0219399556517601,
0.027729904279112816,
-0.003966630436480045,
0.03140660747885704,
-0.00968141295015812,
0.03456788510084152,
0.010823939926922321,
0.008968407288193703,
-0.028262510895729065,
0.050408635288476944,
-0.0002566390612628311,
0.01819452829658985,
0.007314749993383884,
-0.016785698011517525,
0.02857176586985588,
0.008349896408617496,
0.01663966104388237,
0.03893182426691055,
0.0012445383472368121,
-0.014225750230252743,
0.01896766759455204,
0.0006641475483775139,
-0.050168104469776154,
0.0387943759560585,
-0.019431550055742264,
-0.018091442063450813,
0.009715775027871132,
-0.0009084378252737224,
0.004965267609804869,
-0.03035857528448105,
-0.06181672587990761,
-0.022730274125933647,
-0.02963697910308838,
-0.021287081763148308,
-0.0014507086016237736,
-0.08020024001598358,
-0.04673193395137787,
-0.00090629025362432,
0.011923515237867832,
-0.010136705823242664,
0.003848512191325426,
0.015737665817141533,
0.06968555599451065,
-0.01519646868109703,
0.03525511920452118,
0.005648206919431686,
-0.02132144384086132,
0.0371793769299984,
0.019861070439219475,
-0.007319045253098011,
0.0012080289889127016,
0.03492868319153786,
0.0017019787337630987,
-0.00933779589831829,
0.033433947712183,
0.045460548251867294,
0.00027623597998172045,
0.040409378707408905,
-0.014242931269109249,
0.005493578966706991,
-0.02121835947036743,
0.015179287642240524,
0.0008880355744622648,
0.03348549082875252,
0.015926655381917953,
0.0003884484467562288,
0.0013508449774235487,
-0.008392849005758762,
-0.006971132941544056,
-0.02439681813120842,
0.013598648831248283,
0.054772574454545975,
-0.011158967390656471,
0.03659522533416748,
0.024036020040512085,
-0.02736910618841648,
-0.037522993981838226,
0.012069552205502987,
-0.011682983487844467,
0.02608054131269455,
-0.015686122700572014,
0.03577054664492607,
-0.03759171441197395,
-0.0041062249802052975,
-0.02584001049399376,
-0.00583290122449398,
-0.01248189341276884,
0.004578698426485062,
0.0039215306751430035,
-0.03735118359327316,
0.012756786309182644,
-0.023950114846229553
] |
The world around us has undergone a radical transformation due to rapid
technological advancement in recent decades. The industry of the future
generation is evolving, and artificial intelligence is the following change in
the making popularly known as Industry 4.0. Indeed, experts predict that
artificial intelligence(AI) will be the main force behind the following
significant virtual shift in the way we stay, converse, study, live,
communicate and conduct business. All facets of our social connection are being
transformed by this growing technology. One of the newest areas of educational
technology is Artificial Intelligence in the field of Education(AIEd).This
study emphasizes the different applications of artificial intelligence in
education from both an industrial and academic standpoint. It highlights the
most recent contextualized learning novel transformative evaluations and
advancements in sophisticated tutoring systems. It analyses the AIEd's ethical
component and the influence of the transition on people, particularly students
and instructors as well. Finally, this article touches on AIEd's potential
future research and practices. The goal of this study is to introduce the
present-day applications to its intended audience. | [
-0.03024822659790516,
0.039228446781635284,
-0.019525310024619102,
-0.01350589469075203,
0.03759244456887245,
-0.01675122231245041,
-0.034676097333431244,
-0.005161403678357601,
0.020983483642339706,
0.04218035936355591,
0.013923786580562592,
-0.01884957030415535,
0.03568970412015915,
-0.00692632794380188,
-0.054734885692596436,
0.05388132110238075,
0.029519138857722282,
0.014234982430934906,
-0.04669714346528053,
-0.03515622764825821,
-0.014510612934827805,
-0.014937395229935646,
-0.051320623606443405,
0.004412311129271984,
0.006463979836553335,
0.018991831690073013,
0.042642708867788315,
0.003203093307092786,
-0.0580068863928318,
0.03416040167212486,
-0.004872436169534922,
-0.004654599353671074,
0.0481908842921257,
-0.06881871819496155,
-0.02269061468541622,
0.05967845022678375,
-0.009629284963011742,
0.04388749226927757,
0.006766284350305796,
0.042820531874895096,
0.07938158512115479,
0.036347661167383194,
-0.005010251421481371,
0.00277186487801373,
0.013959351927042007,
-0.04708836227655411,
-0.03556522727012634,
-0.06127888709306717,
-0.010420612059533596,
-0.0009041347657330334,
-0.043531838804483414,
-0.028114311397075653,
0.026407182216644287,
0.05178296938538551,
-0.025927050039172173,
0.01708020083606243,
0.02909235656261444,
-0.04513227194547653,
0.0016515601892024279,
-0.009869350120425224,
0.0034431584645062685,
0.04093557596206665,
-0.025109050795435905,
-0.015622026287019253,
-0.02935909479856491,
-0.026709485799074173,
0.0036254303995519876,
-0.005094718653708696,
-0.0001131557728513144,
0.027918703854084015,
-0.024308832362294197,
0.02251278981566429,
-0.00025993181043304503,
-0.007437577936798334,
-0.005828251596540213,
-0.04278497025370598,
0.01640446111559868,
0.04314061999320984,
-0.026976224035024643,
0.020787876099348068,
0.008584557101130486,
0.054485928267240524,
0.01927635259926319,
-0.04338957741856575,
0.04075774922966957,
0.012145524844527245,
-0.012839047238230705,
-0.08279585093259811,
0.03472944349050522,
0.011300850659608841,
-0.08507202565670013,
0.03497840091586113,
0.012856829911470413,
-0.0041589089669287205,
0.01043839380145073,
0.011336416006088257,
-0.017675917595624924,
0.013817090541124344,
-0.0011136361863464117,
0.005961621180176735,
0.056157492101192474,
0.007593175861984491,
0.061492279171943665,
-0.02446887642145157,
-0.0008630124502815306,
-0.05267210304737091,
-0.06341280043125153,
-0.004614588338881731,
0.0015448646154254675,
0.07987949997186661,
-0.05793575569987297,
-0.011949916370213032,
-0.0011725410586223006,
0.018351657316088676,
-0.017044635489583015,
0.04538122937083244,
-0.026264920830726624,
-0.06700488924980164,
0.0023495277855545282,
0.050964970141649246,
-0.016857918351888657,
0.023775354027748108,
0.03094174712896347,
0.0009019119315780699,
-0.06337723881006241,
0.03937070816755295,
-0.010029394179582596,
-0.03232879191637039,
0.019062962383031845,
-0.03129740059375763,
0.011736525222659111,
0.11914350837469101,
0.019436396658420563,
0.023384137079119682,
0.06302158534526825,
0.02647831104695797,
0.02797205187380314,
-0.017293591052293777,
0.018262743949890137,
-0.0031408541835844517,
-0.04911557957530022,
-0.00034009249066002667,
-0.031421877443790436,
0.012430046685039997,
-0.0014014922780916095,
-0.006428414955735207,
-0.021356919780373573,
0.041860271245241165,
-0.024646703153848648,
0.02507348544895649,
-0.05558845028281212,
-0.016004351899027824,
-0.023828702047467232,
-0.01596878655254841,
0.025002354755997658,
-0.021979309618473053,
0.05964288488030434,
0.02297513745725155,
-0.06814297288656235,
-0.0018849570769816637,
0.026353834196925163,
-0.0037076750304549932,
-0.017249135300517082,
0.029963703826069832,
0.026496093720197678,
-0.04541679471731186,
0.050431493669748306,
-0.0015170791884884238,
-0.050431493669748306,
0.054912712424993515,
-0.023295223712921143,
-0.026442745700478554,
-0.011452003382146358,
0.006721828132867813,
0.012438938021659851,
-0.006859643384814262,
-0.0058638169430196285,
0.017373614013195038,
-0.09289637207984924,
-0.01464398205280304,
-0.04164688289165497,
0.012287786230444908,
0.06828523427248001,
0.039939749985933304,
0.038694966584444046,
0.022495007142424583,
0.06049645319581032,
0.007339773699641228,
0.06753836572170258,
0.003018598770722747,
0.027491921558976173,
-0.04402974992990494,
-0.0022172697354108095,
0.0030252670403569937,
-0.0017415847396478057,
-0.07952384650707245,
0.019418613985180855,
0.029127921909093857,
-0.01603991724550724,
0.004267827142030001,
-0.008886861614882946,
-0.0071975127793848515,
0.04897331818938255,
0.005405914504081011,
0.04250044748187065,
0.025660311803221703,
0.023366354405879974,
0.020805658772587776,
0.022406093776226044,
0.01454617828130722,
0.006850752048194408,
0.0004023316432721913,
0.0005329226842150092,
0.022832876071333885,
-0.007913263514637947,
0.006481762509793043,
0.005019142758101225,
-0.03787696734070778,
-0.03851713985204697,
0.0016615629428997636,
-0.0012458943529054523,
0.007046360522508621,
0.03897948935627937,
-0.07909706234931946,
-0.013283612206578255,
-0.0349072702229023,
0.004165577236562967,
-0.009149154648184776,
0.007357556372880936,
-0.012839047238230705,
-0.03277335688471794,
0.04047323018312454,
0.021321354433894157,
0.036152053624391556,
0.0052680992521345615,
0.0018227179534733295,
0.05014697089791298,
-0.024326615035533905,
-0.005557066760957241,
0.008428959175944328,
-0.045879144221544266,
-0.009326980449259281,
-0.06689818948507309,
-0.03652548789978027,
0.04723062366247177,
-0.03552966192364693,
0.010358372703194618,
0.04797749221324921,
0.015052982605993748,
0.04207366332411766,
-0.008451187051832676,
-0.025802573189139366,
-0.014866265468299389,
0.025446919724345207,
-0.021019048988819122,
0.015764286741614342,
0.07258863002061844,
-0.01403048262000084,
0.01909852772951126,
0.02069896273314953,
0.019614223390817642,
0.003185310633853078,
0.032737791538238525,
0.030194878578186035,
-0.039406273514032364,
-0.010847394354641438,
0.036596618592739105,
0.02085900492966175,
0.010776263661682606,
-0.015719830989837646,
0.0068107410334050655,
-0.041682448238134384,
-0.03841044381260872,
0.010091633535921574,
-0.023597529157996178,
0.0009858236880972981,
0.04225149005651474,
0.013523677363991737,
-0.005534838419407606,
0.009140263311564922,
-0.0327911414206028,
-0.037734705954790115,
0.08869967609643936,
-0.029163487255573273,
-0.03366248682141304,
-0.040188707411289215,
-0.0027651963755488396,
-0.003445381298661232,
-0.06928106397390366,
-0.02199709229171276,
-0.001628220546990633,
-0.005752675700932741,
-0.029234616085886955,
-0.05231644958257675,
0.025286877527832985,
-0.012305568903684616,
-0.04410088062286377,
0.006895208265632391,
-0.031084008514881134,
-0.024059876799583435,
0.022406093776226044,
-0.07105932384729385,
0.01684013567864895,
0.0336802713572979,
-0.011816546320915222,
0.014012699946761131,
0.05533949285745621,
0.044492099434137344,
0.03652548789978027,
0.0035409629344940186,
0.01980983093380928,
-0.01371039543300867,
-0.021499179303646088,
0.023117396980524063,
0.024575572460889816,
0.012430046685039997,
0.025091268122196198,
-0.03542296588420868,
-0.04250044748187065,
0.007241969462484121,
-0.03138631209731102,
-0.008886861614882946,
-0.08514315634965897,
0.043780796229839325,
-0.04783523082733154,
-0.03051496483385563,
0.02384648472070694,
-0.04787079617381096,
-0.008175556547939777,
-0.02928796410560608,
-0.005250316578894854,
0.0024540007580071688,
0.008931317366659641,
-0.02637161687016487,
0.04552349075675011,
-0.035814184695482254,
-0.022726180031895638,
0.013772633858025074,
-0.03085283562541008,
-0.009038013406097889,
-0.013861547224223614,
-0.01909852772951126,
-0.0352451391518116,
-0.025375789031386375,
-0.006103882100433111,
-0.03366248682141304,
0.0013570357114076614,
0.02103683166205883,
0.013159134425222874,
0.016600070521235466,
0.0009519255254417658,
-0.03103066049516201,
-0.04979131743311882,
-0.024148790165781975,
-0.019525310024619102,
-0.02322409301996231,
0.03058609552681446,
-0.05032479763031006,
0.0002547915210016072,
0.021943746134638786,
0.022815093398094177,
-0.027563050389289856,
0.01849391870200634,
0.013568134047091007,
-0.04829758033156395,
-0.0635906234383583,
-0.043602969497442245,
0.03007039986550808,
0.011283067986369133,
-0.020094353705644608,
0.014670656062662601,
0.025660311803221703,
0.017498092725872993,
-0.03446270525455475,
-0.05388132110238075,
0.02505570277571678,
-0.042820531874895096,
-0.00429672421887517,
-0.0013737068511545658,
0.05740227550268173,
0.01909852772951126,
0.008215567097067833,
-0.03243548795580864,
0.038623835891485214,
-0.027065137401223183,
0.014403916895389557,
0.013577025383710861,
-0.06668480485677719,
-0.0170090701431036,
0.11025220155715942,
0.018422788009047508,
0.05971401557326317,
-0.0003314790374133736,
-0.07098819315433502,
0.053347840905189514,
0.0009624839876778424,
0.011985481716692448,
-0.02567809447646141,
0.04370966553688049,
-0.03919288143515587,
-0.010518415831029415,
0.010305024683475494,
0.03373361751437187,
-0.0038943924009799957,
-0.020574484020471573,
-0.006117219105362892,
-0.018725091591477394,
0.011567589826881886,
0.002860778011381626,
-0.009540372528135777,
-0.01972091943025589,
-0.01524859108030796,
0.02315296232700348,
-0.07959497720003128,
-0.0015715385088697076,
0.003269778098911047,
-0.0008274472202174366,
0.009046904742717743,
-0.006192795000970364,
-0.03805479407310486,
0.016093265265226364,
0.04680383950471878,
0.010927416384220123,
-0.03691670671105385,
0.009771546348929405,
0.005557066760957241,
0.03965522721409798,
-0.03485392406582832,
0.00396330002695322,
-0.004414533730596304,
-0.005348121281713247,
0.005357012152671814,
0.04399418458342552,
0.014350568875670433,
-0.03873053193092346,
-0.03161748871207237,
0.055801842361688614,
0.009309198707342148,
-0.004458990413695574,
0.04402974992990494,
-0.045630186796188354,
0.0009113589767366648,
0.021428048610687256,
0.0009441456641070545,
-0.07191289216279984,
-0.019525310024619102,
0.004187805578112602,
0.0009774880018085241,
-0.01012719888240099,
-0.07902593165636063,
-0.044918883591890335,
0.008655686862766743,
-0.09296750277280807,
-0.03873053193092346,
0.009931589476764202,
-0.032204315066337585,
0.010518415831029415,
-0.02139248512685299,
0.05565958097577095,
0.01441280823200941,
0.02269061468541622,
0.07610958814620972,
0.03937070816755295,
0.008024404756724834,
0.034747228026390076,
-0.03841044381260872,
-0.0680362805724144,
-0.036596618592739105,
0.009371437132358551,
0.006957447621971369,
0.023882050067186356,
-0.039584096521139145,
-0.008042187429964542,
0.040971141308546066,
0.033093445003032684,
-0.015373069792985916,
0.022495007142424583,
-0.04235818609595299,
0.0016793456161394715,
0.010358372703194618,
0.0204144399613142,
0.026798399165272713,
0.030194878578186035,
-0.07166393101215363,
-0.03250661864876747,
0.028878964483737946,
0.007584284525364637,
0.029252398759126663,
-0.001696016755886376,
0.0004993024631403387,
-0.02219270169734955,
-0.007633186876773834,
0.053347840905189514,
-0.03302231431007385,
-0.012625656090676785,
-0.06732497364282608,
0.04278497025370598,
0.010927416384220123,
-0.003089729230850935,
0.01113191619515419,
-0.047657404094934464,
-0.03512066230177879,
-0.010011611506342888,
0.006597349885851145,
-0.027118485420942307,
0.029163487255573273,
0.048333145678043365,
-0.06629358232021332,
0.021890398114919662,
0.038268186151981354,
-0.01998765766620636,
0.057188887149095535,
-0.019649788737297058,
0.027154050767421722,
-0.015346395783126354,
0.055872973054647446,
0.013221372850239277,
0.014252765104174614,
0.01034059002995491,
0.018422788009047508,
0.021250223740935326,
0.05217418819665909,
0.023899832740426064,
0.021321354433894157,
-0.018529484048485756,
0.04513227194547653,
0.04499001428484917,
0.006864089053124189,
0.02516239881515503,
0.012350025586783886,
-0.05854036286473274,
-0.0015593129210174084,
-0.017773723229765892,
-0.027491921558976173,
-0.00871792621910572,
0.03375140205025673,
0.07209071516990662,
-0.003674332518130541,
-0.029661400243639946,
-0.004516784101724625,
-0.05558845028281212,
0.020396657288074493,
0.036774445325136185,
-0.028612226247787476,
0.003480946645140648,
0.014146069064736366,
0.07810124009847641,
-0.01499074324965477,
-0.008042187429964542,
0.030675008893013,
-0.026780616492033005,
-0.009131371974945068,
-0.018262743949890137,
0.03412483632564545,
0.007828795351088047,
0.037734705954790115,
-0.005766012705862522,
-0.04093557596206665,
-0.014315004460513592,
0.005139175336807966,
0.03270222619175911,
-0.03851713985204697,
-0.00924695935100317,
0.04609253630042076,
-0.04093557596206665,
-0.02043222263455391,
0.034587182104587555,
0.03602757677435875,
0.0009558154852129519,
0.0043300664983689785,
-0.015657590702176094,
-0.04075774922966957,
0.026247138157486916,
-0.01568426564335823,
0.040010880678892136,
0.029145704582333565,
0.021605875343084335,
-0.0604608878493309,
-0.03439157456159592,
0.009038013406097889,
0.011336416006088257,
-0.007646523881703615,
-0.01655561290681362,
0.03337796404957771,
0.029661400243639946,
-0.012074395082890987,
0.0037476858124136925,
-0.012003264389932156,
-0.015630917623639107,
-0.032115399837493896,
0.010838503018021584,
0.033004529774188995,
-0.061065495014190674,
-0.027580833062529564,
-0.014617308042943478,
0.017862634733319283,
0.015808744356036186,
0.008117763325572014,
0.025091268122196198,
-0.040188707411289215,
0.017551438882946968,
0.015506438910961151,
0.07109489291906357,
0.057900190353393555,
-0.05743784084916115,
0.021534744650125504,
0.024397745728492737,
0.03280892223119736,
0.03784140199422836,
0.009700415655970573,
0.036347661167383194,
-0.05142731964588165,
0.020467787981033325,
0.02750970423221588,
0.005828251596540213,
-0.03462274745106697,
0.05046705901622772,
0.04779966548085213,
-0.02034330926835537,
-0.018636178225278854,
-0.01048285048455,
0.008402285166084766,
0.026104876771569252,
0.019045179709792137,
0.017560331150889397,
0.045879144221544266,
0.0178982000797987,
0.029999269172549248,
-0.012038829736411572,
-0.01909852772951126,
-0.031244052574038506,
-0.047123927623033524,
-0.015461982227861881,
-0.012118850834667683,
0.0245400071144104,
-0.017506983131170273,
0.0018016010290011764,
0.0566554069519043,
0.0013714841334149241,
-0.06327053904533386,
-0.01068735122680664,
-0.0002543747250456363,
-0.017071308568120003,
0.08350715041160583,
0.015888765454292297,
0.08158662915229797,
0.008220013231039047,
-0.08414732664823532,
0.042927227914333344,
-0.0049213385209441185,
0.02324187569320202,
-0.006063871085643768,
-0.01824496127665043,
0.032382138073444366,
-0.023775354027748108,
-0.032933399081230164,
0.0059393928386271,
0.032933399081230164,
0.026531659066677094,
0.013007981702685356,
0.037663575261831284,
0.014626199379563332,
0.0024384409189224243,
0.006779621355235577,
0.001300353673286736,
-0.02043222263455391,
0.03286226838827133,
-0.011283067986369133,
0.010847394354641438,
0.03801922872662544,
-0.026798399165272713,
-0.019596440717577934,
-0.0034965064842253923,
0.03376918286085129,
0.01770259253680706,
-0.014555069617927074,
0.02726074680685997,
0.04669714346528053,
0.001722690649330616,
0.020841224119067192,
-0.016368895769119263,
-0.044741056859493256,
0.0025495821610093117,
-0.008780165575444698,
-0.006166121456772089,
-0.00032536627259105444,
-0.02199709229171276,
0.060887668281793594,
0.02427326701581478,
0.004810196813195944,
0.0015215248567983508,
-0.007837686687707901,
0.008744600228965282,
0.003794365096837282,
-0.021801484748721123,
0.006415077950805426,
-0.028434399515390396,
-0.008526762947440147,
-0.004425648134201765,
-0.01091852504760027,
-0.008220013231039047,
-0.0068329693749547005,
-0.035547446459531784,
0.015799852088093758,
0.021712571382522583,
0.03787696734070778,
0.03288005292415619,
0.02455778978765011,
0.012278894893825054,
-0.0383748784661293,
0.00810887198895216,
0.012430046685039997,
0.010562872514128685,
0.0711660161614418,
0.035636357963085175,
0.04666157811880112,
-0.00385882705450058,
-0.0043478491716086864,
-0.060176365077495575,
0.031848661601543427,
0.042215924710035324,
-0.006730719469487667,
-0.0181293748319149,
0.011852111667394638,
-0.012003264389932156,
0.01587987318634987,
-0.0008680138271301985,
0.0071930671110749245,
-0.030390486121177673,
-0.0102072199806571,
0.054059144109487534,
0.024575572460889816,
-0.021001266315579414,
0.0056459796614944935,
0.0005901604890823364,
0.0006701822276227176,
-0.004948012065142393,
0.013674830086529255,
-0.029501356184482574,
0.031048443168401718,
-0.022228267043828964,
0.017515873536467552,
0.008531209081411362,
-0.004216702189296484,
0.010376155376434326,
-0.007139719557017088,
0.004485664423555136,
0.012794590555131435,
0.000578490667976439,
0.007259752135723829,
0.051676277071237564,
-0.026353834196925163,
0.09232732653617859,
-0.032915618270635605,
0.004541235044598579,
0.016431134194135666,
0.016253309324383736,
0.005699327681213617,
0.031137356534600258,
0.031066225841641426,
0.008829067461192608,
0.06593792885541916,
-0.046412620693445206,
0.022726180031895638,
0.00929141603410244,
-0.01972091943025589,
-0.015524221584200859,
0.005014697089791298,
-0.0008952434291131794,
0.024593355134129524,
0.048617664724588394,
-0.016324440017342567,
0.08194228261709213,
0.0016560058575123549,
-0.018351657316088676,
0.0011008549481630325,
0.022655049338936806,
-0.0604608878493309,
0.001107523450627923,
-0.04758627340197563,
-0.04303392395377159,
0.0031586368568241596,
-0.022548353299498558,
0.0016159949591383338,
-0.017302483320236206,
-0.026176007464528084,
0.007726545445621014,
-0.056406449526548386,
0.02804318256676197,
0.05231644958257675,
0.00642396928742528,
0.012981307692825794,
-0.024326615035533905,
0.007655415218323469,
0.033093445003032684,
-0.008353382349014282,
-0.004943566396832466,
-0.01371039543300867,
0.007535382639616728,
-0.01956087537109852,
0.05672653764486313,
-0.02306405082345009,
-0.0066373604349792,
0.00806886050850153,
-0.015835417434573174,
-0.014332786202430725,
-0.004532343707978725,
-0.00836671981960535,
0.011327524669468403,
0.036152053624391556,
0.011283067986369133,
0.00023645319743081927,
-0.02768752910196781,
0.021445831283926964,
0.035974226891994476,
0.009131371974945068,
-0.04523896798491478,
0.02155252732336521,
-0.03453383594751358,
-0.012794590555131435,
-0.005601523444056511,
-0.031777530908584595,
0.00578824058175087,
0.0028718921821564436,
-0.02541135437786579,
-0.034925054758787155,
0.03972635790705681,
0.002148362109437585,
0.0039566317573189735,
0.00845563318580389,
0.005917164497077465,
0.0006540667382068932,
-0.0209657009691,
0.0024073212407529354,
-0.013168025761842728,
-0.007566502317786217,
-0.011229720897972584,
-0.006672925781458616,
-0.023455267772078514,
-0.0074153500609099865,
-0.030817270278930664,
0.030657226219773293,
0.006152784451842308,
0.015044091269373894,
-0.029234616085886955,
-0.03455161675810814,
-0.020894570276141167,
-0.04136236011981964,
0.0029430226422846317,
-0.01900961436331272,
0.018778439611196518,
-0.012625656090676785,
0.06387514621019363,
0.021516961976885796,
0.02402431145310402,
0.03656105324625969,
0.013639264740049839,
0.009744872339069843,
0.028185442090034485,
-0.012687894515693188,
-0.05608636513352394,
0.011638720519840717,
0.031226269900798798,
0.0015237476909533143,
-0.013239155523478985,
-0.03280892223119736,
-0.019240787252783775,
0.004478995688259602,
-0.041575752198696136,
0.001524859108030796,
0.015844309702515602,
0.017684809863567352,
-0.018991831690073013,
0.07173506170511246,
-0.002063894644379616,
-0.017231352627277374,
0.03533405438065529,
0.0466260127723217,
0.0009119146852754056,
0.004974686075001955,
0.00569488201290369,
0.002516239881515503,
0.03209761902689934,
0.006788512691855431,
0.05007584020495415,
0.020894570276141167,
-0.014964069239795208,
-0.022459441795945168,
0.021072397008538246,
-0.03243548795580864,
0.03040826879441738,
0.04303392395377159,
0.03901505470275879,
0.026940660551190376,
-0.00894910003989935,
0.03188422694802284,
-0.004016648046672344,
0.0325777493417263,
0.003954408690333366,
0.009326980449259281,
0.012189981527626514,
-0.03389366343617439,
-0.006361729931086302,
0.006517327856272459,
-0.015799852088093758,
-0.01252785138785839,
0.02875448577105999,
-0.00751759996637702,
0.004236707929521799,
-0.0013081334764137864,
-0.04666157811880112,
0.023828702047467232,
0.010465067811310291,
-0.032915618270635605,
0.004265604540705681,
-0.014323894865810871,
-0.02253057062625885,
-0.014217199757695198,
0.019756482914090157,
-0.019685354083776474,
0.03033713810145855,
0.03352022543549538,
0.0013481443747878075,
0.009229176677763462,
-0.040188707411289215,
0.02797205187380314,
-0.01034059002995491,
0.012963525019586086,
-0.0023117398377507925,
-0.029074573889374733,
0.004716838244348764,
0.051071666181087494,
0.0343560092151165,
0.0031075116712599993,
0.030817270278930664,
-0.02927018143236637,
-0.03163526952266693,
0.07141497731208801,
-0.014670656062662601,
0.019880961626768112,
-0.020289963111281395,
-0.004623479675501585,
0.029163487255573273,
-0.010811829008162022,
0.024877876043319702,
-0.041575752198696136,
0.03663218393921852,
0.05445036292076111,
0.03894392400979996,
0.04402974992990494,
-0.024504441767930984,
0.025624746456742287,
0.0490800142288208,
-0.0646931454539299,
-0.0499691441655159,
0.00033481325954198837,
-0.015737613663077354,
-0.021001266315579414,
-0.028505530208349228,
0.010367264039814472,
-0.004367854446172714,
0.043354012072086334,
-0.026602789759635925,
-0.010073850862681866,
0.03535183519124985,
0.018111592158675194,
0.01082961168140173,
-0.03296896442770958,
-0.03359135612845421,
-0.028985660523176193,
0.014234982430934906,
-0.04278497025370598,
-0.014119395054876804,
0.005699327681213617,
0.00039399604429490864,
-0.03094174712896347,
-0.005979403853416443,
-0.04040209949016571,
-0.004190028179436922,
-0.010865177027881145,
-0.009709306992590427,
-0.04687497019767761,
0.013817090541124344,
-0.0006596238235943019,
-0.002569587668403983,
-0.0432828813791275,
0.03417818248271942,
-0.026976224035024643,
-0.02596261538565159,
0.03787696734070778,
-0.019649788737297058,
0.029963703826069832,
0.0018727314891293645,
0.0024117669090628624,
-0.007997730746865273,
0.00031869777012616396,
-0.021677006036043167,
0.025180181488394737,
-0.015639808028936386,
0.03103066049516201,
-0.03705896809697151,
-0.002197264228016138,
-0.008335600607097149,
0.012403372675180435,
0.0049168928526341915,
0.05373905971646309,
0.042642708867788315,
-0.0009730423917062581,
-0.02980365976691246,
0.05021810159087181,
0.02139248512685299,
0.04612810164690018,
0.016271091997623444,
0.017667027190327644,
0.031137356534600258,
0.02717183344066143,
0.008842404931783676,
-0.03007039986550808,
-0.018689526244997978,
-0.09631063789129257,
0.03015931323170662,
-0.011300850659608841,
0.04118453338742256,
-0.0027918703854084015
] |
Tracking climbers' activity to improve services and make the best use of
their infrastructure is a concern for climbing gyms. Each climbing session must
be analyzed from beginning till lowering of the climber. Therefore, spotting
the climbers descending is crucial since it indicates when the ascent has come
to an end. This problem must be addressed while preserving privacy and
convenience of the climbers and the costs of the gyms. To this aim, a hardware
prototype is developed to collect data using accelerometer sensors attached to
a piece of climbing equipment mounted on the wall, called quickdraw, that
connects the climbing rope to the bolt anchors. The corresponding sensors are
configured to be energy-efficient, hence become practical in terms of expenses
and time consumption for replacement when using in large quantity in a climbing
gym. This paper describes hardware specifications, studies data measured by the
sensors in ultra-low power mode, detect sensors' orientation patterns during
lowering different routes, and develop an supervised approach to identify
lowering. | [
-0.01908831112086773,
0.05417097732424736,
-0.018092676997184753,
-0.07913672924041748,
0.005037044174969196,
0.029933210462331772,
-0.006171851418912411,
0.028370175510644913,
-0.06059441342949867,
0.0263574980199337,
-0.0013656492810696363,
-0.06016618385910988,
0.0646197646856308,
-0.039803892374038696,
-0.0007025633240118623,
0.03943989798426628,
0.013050280511379242,
-0.027535129338502884,
0.033915743231773376,
-0.050145622342824936,
0.03224564716219902,
-0.08346184343099594,
-0.01600506156682968,
0.0007427097880281508,
0.017107751220464706,
0.030168738216161728,
0.000830362900160253,
0.0211759265512228,
-0.061065465211868286,
-0.000970206456258893,
0.0025800801813602448,
0.00016200775280594826,
-0.03757710009813309,
-0.01606929488480091,
-0.04843270778656006,
-0.0016419908497482538,
0.08748719841241837,
0.03526466339826584,
-0.002113042864948511,
0.038412146270275116,
-0.005376951303333044,
0.02120804414153099,
-0.023873770609498024,
-0.039910949766635895,
-0.03308069333434105,
-0.04774754121899605,
-0.0026349469553679228,
-0.015844475477933884,
-0.029012518003582954,
-0.029462158679962158,
0.020351586863398552,
-0.028948284685611725,
-0.014795313589274883,
-0.027513716369867325,
-0.029911799356341362,
0.00674460781738162,
0.060423120856285095,
0.09797880798578262,
0.06359201669692993,
-0.01468825712800026,
0.07245635986328125,
0.04100293293595314,
-0.04826141521334648,
-0.0016647404991090298,
-0.006396671757102013,
-0.052329592406749725,
0.006525140255689621,
-0.009351451881229877,
-0.020918989554047585,
0.0017436952330172062,
0.0016634023049846292,
0.017889268696308136,
0.012911106459796429,
-0.01903478242456913,
-0.018745727837085724,
0.00921763014048338,
0.04637720808386803,
0.029783330857753754,
0.0033080694265663624,
-0.042758673429489136,
-0.0031019842717796564,
0.002312436932697892,
-0.08067835867404938,
-0.05481331795454025,
0.05185854062438011,
-0.00643949443474412,
-0.01280404906719923,
-0.08551734685897827,
0.06269273161888123,
0.03714887052774429,
-0.035071961581707,
0.03667781874537468,
0.02854146622121334,
-0.0027460188139230013,
-0.028969695791602135,
0.03269528970122337,
0.002949427580460906,
-0.009158749133348465,
-0.018884900957345963,
-0.023038722574710846,
-0.02631467580795288,
-0.01674375683069229,
-0.024045061320066452,
-0.026785727590322495,
0.008339760825037956,
0.011219601146876812,
-0.012675580568611622,
0.036163944751024246,
-0.017161279916763306,
0.09626588970422745,
0.0010029927361756563,
-0.025865035131573677,
0.004745313432067633,
-0.013788975775241852,
-0.06312096118927002,
0.04740495607256889,
0.034065622836351395,
-0.018767138943076134,
-0.015384129248559475,
-0.005031691398471594,
0.07815180718898773,
-0.03158189356327057,
-0.006348495837301016,
0.023616831749677658,
-0.00753147853538394,
0.03869049623608589,
0.03432255983352661,
-0.015501892194151878,
0.017899975180625916,
0.009255100972950459,
-0.003886178834363818,
0.015448363497853279,
0.012429348193109035,
0.01208676490932703,
0.03222423791885376,
0.06710349023342133,
0.07930802553892136,
0.042758673429489136,
-0.008949987590312958,
-0.0211759265512228,
-0.00012002122821286321,
-0.01134806964546442,
-0.029868977144360542,
0.028370175510644913,
-0.0005446538561955094,
0.016283409669995308,
-0.04130269214510918,
-0.00807211734354496,
-0.10834195464849472,
0.004756018985062838,
-0.06787430495023727,
0.07879414409399033,
0.02573656663298607,
0.03674205392599106,
0.04629155993461609,
0.002887869719415903,
-0.04121704772114754,
-0.010379201732575893,
-0.08192022144794464,
-0.012129588052630424,
0.03740580752491951,
-0.007965060882270336,
0.0014225234044715762,
0.007606418803334236,
0.002759400987997651,
-0.010844901204109192,
-0.022460613399744034,
-0.0011421672534197569,
-0.023595420643687248,
0.023210015147924423,
-0.009950973093509674,
-0.0109733697026968,
0.03297363594174385,
0.030425675213336945,
0.031175075098872185,
0.058153506368398666,
0.0588814951479435,
0.003653329098597169,
0.02353118732571602,
-0.033294808119535446,
-0.048004478216171265,
0.04753342643380165,
-0.04038200154900551,
-0.060508765280246735,
0.026828549802303314,
0.013863915577530861,
0.012814754620194435,
-0.01967712491750717,
0.028177471831440926,
-0.02190391719341278,
0.014110147953033447,
-0.0033321573864668608,
0.05190136283636093,
0.004121704492717981,
0.0017303130589425564,
-0.0452209897339344,
0.05725422501564026,
-0.009512037970125675,
-0.023060135543346405,
-0.0067767249420285225,
-0.07412645220756531,
-0.06795994937419891,
0.02918381057679653,
0.009110573679208755,
0.037748392671346664,
0.01427073311060667,
0.015651771798729897,
-0.04415041580796242,
0.014527671039104462,
-0.04766189306974411,
-0.03982530161738396,
-0.006466258782893419,
-0.050231270492076874,
0.05331451818346977,
0.000034103592042811215,
-0.0031688951421529055,
0.07571090012788773,
-0.0065197874791920185,
0.03344469144940376,
0.00911592599004507,
0.053057581186294556,
-0.03449385240674019,
0.05143031105399132,
-0.02062993496656418,
-0.026229029521346092,
0.06406306475400925,
0.0010029927361756563,
0.07395515590906143,
-0.012161705642938614,
-0.018735021352767944,
0.0007340113515965641,
-0.021026046946644783,
-0.014174382202327251,
-0.008853635750710964,
0.0038433559238910675,
-0.004052117466926575,
-0.01317874900996685,
0.04517816752195358,
-0.015801651403307915,
0.003993235994130373,
-0.01605859026312828,
0.034044209867715836,
-0.06363483518362045,
-0.01976277120411396,
0.061151109635829926,
0.006498375907540321,
0.014495553448796272,
0.05935254693031311,
-0.010320320725440979,
0.022567670792341232,
-0.024601759389042854,
-0.015598243102431297,
0.024366233497858047,
0.006584021728485823,
0.04325113445520401,
0.0206192284822464,
0.020844049751758575,
-0.08016447722911835,
0.0004703828599303961,
0.01598365046083927,
0.037641335278749466,
-0.006466258782893419,
-0.0805070623755455,
0.04607744514942169,
0.000584800320211798,
0.00624679122120142,
0.04179515689611435,
0.021700507029891014,
0.056012362241744995,
-0.03502913564443588,
-0.010636139661073685,
0.014217204414308071,
0.004691784735769033,
-0.05078796669840813,
-0.004161851014941931,
-0.02631467580795288,
-0.03565007075667381,
-0.0015938150463625789,
-0.004488375969231129,
0.023616831749677658,
0.009629800915718079,
-0.008173822425305843,
0.04185939207673073,
-0.014377790503203869,
0.00043592380825430155,
-0.044321708381175995,
-0.010743196122348309,
-0.01539483480155468,
-0.020961811766028404,
-0.026828549802303314,
-0.03087531588971615,
0.005422450602054596,
0.0039557660929858685,
-0.0013469142140820622,
0.02129369042813778,
-0.01674375683069229,
-0.011861944571137428,
0.016294116154313087,
-0.0012137617450207472,
-0.013307218439877033,
-0.038390737026929855,
0.04177374392747879,
0.012611345387995243,
0.027385247871279716,
0.034836433827877045,
-0.029676273465156555,
-0.011497950181365013,
0.0438934788107872,
-0.019291719421744347,
-0.006294967141002417,
0.05035973712801933,
-0.020833343267440796,
-0.018488788977265358,
-0.05729704722762108,
-0.026914196088910103,
0.010454141534864902,
0.008179174736142159,
0.040660347789525986,
-0.004424141254276037,
-0.0452209897339344,
0.03156048059463501,
-0.005807856563478708,
-0.10834195464849472,
0.07506855577230453,
0.014816725626587868,
-0.04350807145237923,
0.0024984488263726234,
-0.028969695791602135,
-0.014784608036279678,
-0.0365065261721611,
-0.027385247871279716,
-0.03941848501563072,
-0.01914183981716633,
-0.01313592679798603,
-0.018735021352767944,
-0.020822638645768166,
-0.04423606023192406,
-0.028841227293014526,
0.0061611454002559185,
0.031945887953042984,
-0.002020705956965685,
-0.02792053483426571,
-0.0044348472729325294,
0.003077896311879158,
-0.007863355800509453,
-0.004576697945594788,
0.02496575377881527,
0.037769801914691925,
-0.011016192846000195,
-0.02421635389328003,
0.001410479424521327,
-0.010678961873054504,
-0.050959259271621704,
-0.03066120110452175,
0.06389177590608597,
-0.017150573432445526,
-0.011112543754279613,
-0.02783488854765892,
0.032631054520606995,
-0.030211560428142548,
0.01467755064368248,
-0.050873611122369766,
0.042159151285886765,
0.020876167342066765,
-0.034815020859241486,
0.01176559366285801,
-0.02494434267282486,
-0.050102800130844116,
-0.01621917635202408,
0.052500881254673004,
-0.03134636580944061,
-0.022203676402568817,
-0.009774328209459782,
-0.024045061320066452,
-0.059780776500701904,
-0.03973965719342232,
0.023723889142274857,
-0.011615713126957417,
-0.0015536685241386294,
0.04787600785493851,
-0.003048455575481057,
0.0029306926298886538,
0.04121704772114754,
0.018831372261047363,
0.02706407569348812,
0.0423518531024456,
0.026828549802303314,
0.009185513481497765,
0.02783488854765892,
0.05785374715924263,
-0.0271283108741045,
-0.017375394701957703,
-0.028926873579621315,
0.005984500981867313,
0.04177374392747879,
-0.031068017706274986,
0.015266366302967072,
0.024023650214076042,
0.008387936279177666,
-0.008066765032708645,
-0.003530213376507163,
0.01430285070091486,
-0.032652467489242554,
0.052329592406749725,
0.028049003332853317,
0.020105354487895966,
0.0337444506585598,
-0.00019270308257546276,
0.005376951303333044,
-0.009399628266692162,
0.023595420643687248,
-0.03609970957040787,
-0.004624873865395784,
0.030190149322152138,
-0.011101838201284409,
0.029055342078208923,
-0.037791214883327484,
0.07001545280218124,
-0.03143201395869255,
-0.020769109949469566,
-0.03301646187901497,
0.06414871662855148,
0.017910679802298546,
-0.02485869638621807,
-0.02346695214509964,
0.03158189356327057,
0.002954780589789152,
-0.03789827227592468,
0.06945875287055969,
-0.038412146270275116,
0.05125901848077774,
-0.03427973762154579,
-0.0034579497296363115,
-0.014099441468715668,
0.00753147853538394,
-0.007162130903452635,
0.032631054520606995,
0.010513023473322392,
-0.03078966960310936,
0.0017744741635397077,
-0.06907334923744202,
0.004576697945594788,
-0.06337790191173553,
0.014484847895801067,
0.027984770014882088,
-0.018167618662118912,
-0.010839547961950302,
-0.03455808386206627,
-0.015309188514947891,
-0.01897054724395275,
-0.05361427739262581,
0.0050236620008945465,
0.01460261084139347,
-0.01975206471979618,
0.01976277120411396,
-0.015352011658251286,
-0.0046569909900426865,
-0.0787513256072998,
0.03965401276946068,
-0.052500881254673004,
-0.010727138258516788,
0.08890035003423691,
-0.002919986844062805,
-0.029483571648597717,
-0.0012037251144647598,
0.048132944852113724,
-0.020715581253170967,
-0.022910254076123238,
0.013103809207677841,
0.055455662310123444,
0.04271584749221802,
-0.06093699485063553,
-0.017375394701957703,
0.004440200049430132,
-0.005173542536795139,
0.022203676402568817,
-0.04252314567565918,
-0.01993406191468239,
-0.03014732524752617,
-0.015277071855962276,
0.005302011035382748,
0.003971824422478676,
-0.00442146509885788,
-0.005475979298353195,
-0.028263118118047714,
-0.01752527430653572,
0.024751638993620872,
-0.014110147953033447,
-0.030275793746113777,
-0.049374811351299286,
0.010636139661073685,
0.03541454300284386,
-0.031068017706274986,
-0.015716006979346275,
-0.03355174511671066,
-0.017161279916763306,
-0.03522184118628502,
-0.013521332293748856,
0.013350040651857853,
-0.005593742243945599,
-0.006402024533599615,
-0.017386099323630333,
-0.015202132053673267,
0.020126765593886375,
-0.04701955243945122,
0.007767004426568747,
-0.025308337062597275,
0.03346610069274902,
0.016315527260303497,
0.009704740718007088,
0.010914487764239311,
0.010834195651113987,
-0.0109466053545475,
-0.032609641551971436,
0.012482876889407635,
0.03070402331650257,
-0.020319469273090363,
0.008334408514201641,
0.03160330280661583,
0.06449129432439804,
0.010850253514945507,
-0.00988138560205698,
-0.05759681016206741,
0.02355259843170643,
-0.06414871662855148,
0.03824085369706154,
-0.01750386320054531,
0.011872651055455208,
0.004378641955554485,
-0.01422791089862585,
0.010764608159661293,
0.03881896287202835,
-0.0527149960398674,
0.002137130592018366,
-0.007167483679950237,
0.025329748168587685,
-0.02575797773897648,
0.0630781427025795,
-0.014902370981872082,
-0.02939792536199093,
-0.019570067524909973,
0.003142130794003606,
-0.015469774603843689,
0.03136777877807617,
0.0007025633240118623,
0.052372414618730545,
-0.015202132053673267,
-0.017889268696308136,
0.020929696038365364,
0.031903065741062164,
-0.05571259930729866,
-0.0017008723225444555,
-0.01354274433106184,
0.0066643147729337215,
0.00401464756578207,
-0.03132495656609535,
-0.05335734039545059,
-0.037020403891801834,
0.009538802318274975,
0.018028443679213524,
-0.026229029521346092,
-0.0008765313541516662,
0.006926605012267828,
-0.021689802408218384,
0.008666285313665867,
-0.039247192442417145,
-0.018135501071810722,
0.067703016102314,
-0.003112690057605505,
-0.01892772503197193,
-0.014356379397213459,
-0.019923357293009758,
-0.016711639240384102,
-0.021743331104516983,
0.0038754730485379696,
-0.009388921782374382,
0.04466428980231285,
-0.024623170495033264,
0.001770459464751184,
0.011594302020967007,
-0.04115281254053116,
-0.01321086660027504,
0.018563730642199516,
-0.014056619256734848,
-0.029012518003582954,
0.005374274682253599,
0.007879414595663548,
-0.06342072039842606,
-0.011872651055455208,
-0.014741785824298859,
-0.03286657854914665,
0.02477305196225643,
0.0010545140830799937,
0.026700081303715706,
-0.039204370230436325,
-0.03196730092167854,
0.021743331104516983,
0.018542317673563957,
-0.008312996476888657,
-0.024344822391867638,
0.02042652666568756,
0.02933369018137455,
0.009356805123388767,
0.022824609652161598,
0.014152970165014267,
-0.01104830950498581,
0.04316549003124237,
-0.03361598029732704,
-0.001224467414431274,
0.022931667044758797,
0.011605007573962212,
0.029569216072559357,
0.023295661434531212,
-0.006482317578047514,
-0.020801227539777756,
0.005657976493239403,
0.03425832465291023,
0.02492293156683445,
0.0105879632756114,
-0.024708816781640053,
-0.03233129531145096,
0.008173822425305843,
0.01391744427382946,
0.02924804389476776,
0.002242849674075842,
0.0410243421792984,
-0.02854146622121334,
0.007681358605623245,
-0.0021786154247820377,
0.0010699034901335835,
-0.009747563861310482,
-0.007906178943812847,
-0.004632903262972832,
0.013778270222246647,
0.010074088349938393,
0.02043723128736019,
0.019516538828611374,
0.044407352805137634,
0.020865460857748985,
-0.004464287776499987,
-0.016658110544085503,
-0.02627185359597206,
-0.009704740718007088,
0.019623596221208572,
-0.018124794587492943,
-0.013382158242166042,
0.013724741525948048,
0.01280404906719923,
0.053143225610256195,
0.03950412943959236,
0.017032811418175697,
0.015523303300142288,
0.05811068415641785,
0.03299504891037941,
0.01908831112086773,
-0.031239310279488564,
0.01818902976810932,
-0.013028869405388832,
-0.012579228729009628,
0.01698998734354973,
0.023167192935943604,
-0.044364530593156815,
-0.014913077466189861,
0.0010331026278436184,
0.004683755338191986,
0.058924317359924316,
0.013317923992872238,
-0.0048015182837843895,
0.03224564716219902,
0.05254370719194412,
-0.03434396907687187,
-0.034707967191934586,
-0.03168895095586777,
0.022524848580360413,
0.007424421142786741,
-0.008585992269217968,
-0.020351586863398552,
0.0002816944324877113,
-0.02273896336555481,
-0.021422158926725388,
0.023038722574710846,
-0.021657684817910194,
0.00957627221941948,
0.03618535399436951,
-0.1065433919429779,
-0.0161014124751091,
-0.0278991237282753,
0.026914196088910103,
-0.05549848452210426,
-0.017921386286616325,
-0.04907505214214325,
0.004707843065261841,
0.02708548866212368,
0.003380333073437214,
-0.020779814571142197,
-0.004539228044450283,
-0.019345248118042946,
0.01313592679798603,
-0.0026603729929775,
-0.0014706992078572512,
-0.022332144901156425,
0.017964208498597145,
0.03453667461872101,
0.042908553034067154,
-0.0069640749134123325,
0.04198785871267319,
-0.018156912177801132,
0.043636541813611984,
-0.0038540614768862724,
-0.025372572243213654,
0.007793768774718046,
-0.006589374504983425,
0.012793343514204025,
0.0765245333313942,
0.06393460184335709,
-0.04181656613945961,
-0.024409055709838867,
-0.0028477231971919537,
-0.053143225610256195,
0.05194418504834175,
-0.017428923398256302,
0.02937651425600052,
0.03273811191320419,
-0.09943478554487228,
-0.0557982474565506,
0.06320660561323166,
0.017825035378336906,
0.018627963960170746,
-0.014377790503203869,
0.011069721542298794,
0.024066472426056862,
-0.05344298854470253,
0.01608000136911869,
0.0011200866429135203,
0.008885753341019154,
0.031817417591810226,
0.012889694422483444,
0.028712758794426918,
0.012643462978303432,
-0.02430199831724167,
-0.03006168082356453,
-0.042073506861925125,
0.002378009492531419,
-0.04701955243945122,
0.005312716588377953,
0.0033000402618199587,
-0.010604022070765495,
0.021443570032715797,
-0.01534130610525608,
-0.04340101405978203,
0.041452571749687195,
-0.02417352981865406,
0.024451879784464836,
-0.038433559238910675,
-0.07571090012788773,
0.003704181406646967,
-0.003364274511113763,
-0.005775739438831806,
0.001686151954345405,
0.03141060099005699,
-0.020351586863398552,
0.040638938546180725,
-0.00769741740077734,
0.0072210123762488365,
0.022867431864142418,
0.01356415543705225,
-0.018595846369862556,
-0.008751931600272655,
0.019484423100948334,
-0.011861944571137428,
0.015030840411782265,
0.02276037447154522,
0.07768075168132782,
-0.06342072039842606,
-0.028841227293014526,
0.03440820425748825,
0.05939536914229393,
0.036292411386966705,
-0.011840533465147018,
-0.050059977918863297,
-0.07207094877958298,
-0.011144661344587803,
-0.010459494777023792,
0.046462852507829666,
0.023681066930294037,
-0.005245806183665991,
-0.024644581601023674,
-0.025308337062597275,
-0.024558937177062035,
0.013938856311142445,
0.02185038849711418,
0.028926873579621315,
0.0277920663356781,
-0.0038754730485379696,
0.08127787709236145,
0.025051400065422058,
0.004426817875355482,
-0.011433715932071209,
-0.06971569359302521,
-0.028884049504995346,
0.05785374715924263,
-0.004571345169097185,
-0.0015697272028774023,
-0.001497463439591229,
0.01898125372827053,
0.0004232107603456825,
-0.03141060099005699,
-0.042073506861925125,
-0.024344822391867638,
-0.02931227907538414,
0.03541454300284386,
-0.01755739189684391,
-0.025415394455194473,
0.030382851138710976,
0.02777065522968769,
0.012247350998222828,
-0.0023231427185237408,
-0.012183116748929024,
0.005259188357740641,
0.005909561179578304,
0.01467755064368248,
-0.028434408828616142,
0.0021986886858940125,
0.021400747820734978,
0.006476964335888624,
-0.04663414508104324,
0.00750471418723464,
-0.005229747388511896,
0.03004026785492897,
-0.0035703598987311125,
0.022203676402568817,
0.027706420049071312,
0.026678670197725296,
0.007943648844957352,
-0.014763196930289268,
-0.01821044087409973,
-0.06534775346517563,
0.03680628910660744,
-0.020051825791597366,
0.04534945636987686,
-0.01825326308608055,
-0.019495127722620964,
-0.00619861576706171,
0.004806871060281992,
-0.03884037584066391,
-0.01983771100640297,
-0.04333678260445595,
0.02413070760667324,
0.05061667412519455,
0.05065949633717537,
0.03577853739261627,
0.04744777828454971,
0.03275952488183975,
0.000885229732375592,
-0.043679364025592804,
0.05708293244242668,
0.031239310279488564,
0.00221073254942894,
0.02926945686340332,
-0.004686431959271431,
-0.0022535554599016905,
-0.007456538733094931,
-0.054256621748209,
-0.007729534525424242,
0.026164796203374863,
-0.013114514760673046,
-0.01900266483426094,
-0.04042482376098633,
-0.06260708719491959,
-0.039996594190597534,
-0.022182265296578407,
-0.021786153316497803,
-0.002390053356066346,
0.015330600552260876,
0.04190221428871155,
-0.018456673249602318,
-0.02849864400923252,
0.021497098729014397,
0.006883782334625721,
-0.03449385240674019,
0.037748392671346664,
0.021411452442407608,
-0.03312351927161217,
0.019398776814341545,
0.030575554817914963,
0.005111984442919493,
-0.04177374392747879,
0.0053823040798306465,
0.01430285070091486,
-0.006835606414824724,
-0.0016005061333999038,
0.034065622836351395,
0.010341731831431389,
0.009335393086075783,
0.0323098823428154,
0.004686431959271431,
-0.028926873579621315,
0.026079149916768074,
-0.03669923171401024,
0.012547111138701439,
-0.005636564921587706,
-0.0617506317794323,
-0.012589934282004833,
-0.004078881815075874,
0.009008868597447872,
0.029676273465156555,
-0.011423010379076004,
-0.006054088473320007,
0.03886178880929947,
0.010957310907542706,
0.00013415612920653075,
-0.0025011254474520683,
-0.013574860990047455,
-0.025265514850616455,
0.02190391719341278,
-0.04243750125169754,
0.021839682012796402,
0.0003086260112468153,
0.03890461102128029,
-0.051815714687108994,
-0.010909135453402996,
0.025993503630161285,
-0.020255234092473984,
0.01211888249963522,
-0.0005550250061787665,
-0.00424214405938983,
0.04620591551065445,
-0.04385065659880638,
-0.0028905461076647043,
0.03160330280661583,
-0.011230306699872017,
0.021721919998526573,
0.03160330280661583,
0.01100548729300499,
0.031860243529081345,
-0.04779036343097687,
0.019987590610980988,
0.01969853602349758,
-0.025479629635810852,
-0.031003784388303757,
0.0008711785194464028,
-0.03687052056193352,
0.031153663992881775,
0.015469774603843689,
-0.004892516881227493,
-0.04843270778656006,
0.011198190040886402,
0.01843526028096676,
-0.016390467062592506,
0.004520493093878031,
0.011990414001047611,
-0.039975181221961975,
-0.008516405709087849,
-0.013114514760673046,
0.014752491377294064,
-0.01424932200461626,
-0.012729109264910221,
0.004745313432067633,
-0.039161548018455505,
0.04667696729302406,
0.03494349122047424,
0.04856117442250252,
-0.01140159834176302,
-0.0161014124751091,
0.0021411452908068895,
0.0161549411714077,
0.004469641018658876,
0.030896726995706558,
-0.0005764364614151418,
-0.010555846616625786,
-0.012932517565786839,
-0.007403010036796331,
0.029911799356341362,
0.012022530660033226,
-0.005566977895796299,
0.00027316331397742033,
-0.006086205597966909,
-0.037063226103782654,
-0.028776992112398148,
0.027428071945905685,
0.0205121710896492,
0.0020635288674384356,
-0.0003194990276824683,
-0.011155366897583008,
-0.0058185625821352005,
-0.02479446306824684,
-0.05254370719194412,
-0.02931227907538414,
-0.03457949683070183,
0.02777065522968769,
-0.031903065741062164,
-0.002460978925228119,
0.05498461052775383,
0.006915899459272623,
-0.027642186731100082,
0.0052725705318152905,
0.04203068092465401,
-0.031175075098872185,
-0.019516538828611374,
-0.028819816187024117,
0.005775739438831806,
-0.0025626833084970713,
-0.04327254742383957,
0.02849864400923252,
-0.034707967191934586,
-0.0016071972204372287,
-0.014891665428876877,
-0.021090282127261162,
-0.00319298286922276,
0.021818270906805992,
-0.013285806402564049,
0.04183797910809517,
0.026828549802303314,
0.03505054861307144,
0.0063645546324551105,
-0.0046141683124005795,
-0.011059015057981014,
0.017268337309360504,
0.007349481340497732,
-0.007825885899364948,
0.023252837359905243,
-0.006070146802812815,
-0.01971994899213314,
-0.02640032209455967
] |
Lack of diversity in data collection has caused significant failures in
machine learning (ML) applications. While ML developers perform post-collection
interventions, these are time intensive and rarely comprehensive. Thus, new
methods to track & manage data collection, iteration, and model training are
necessary for evaluating whether datasets reflect real world variability. We
present designing data, an iterative approach to data collection connecting HCI
concepts with ML techniques. Our process includes (1) Pre-Collection Planning,
to reflexively prompt and document expected data distributions; (2) Collection
Monitoring, to systematically encourage sampling diversity; and (3) Data
Familiarity, to identify samples that are unfamiliar to a model using density
estimation. We apply designing data to a data collection and modeling task. We
find models trained on ''designed'' datasets generalize better across
intersectional groups than those trained on similarly sized but less targeted
datasets, and that data familiarity is effective for debugging datasets. | [
-0.004124000668525696,
0.039283327758312225,
-0.030876172706484795,
-0.027449646964669228,
0.023461397737264633,
0.03825350105762482,
-0.024098020046949387,
0.0025886178482323885,
-0.008739510551095009,
-0.0040654875338077545,
0.02039063163101673,
-0.061827242374420166,
0.026344921439886093,
-0.03171876072883606,
-0.016645796597003937,
-0.04078126326203346,
0.021027253940701485,
-0.0020725326612591743,
0.04632361978292465,
-0.045275066047906876,
-0.013518857769668102,
-0.02233794704079628,
-0.06238896772265434,
0.05287708342075348,
0.03338521346449852,
0.03450866416096687,
0.01596236415207386,
-0.016505364328622818,
-0.0528021864593029,
0.02591426484286785,
0.032786037772893906,
0.014483152888715267,
-0.03430269658565521,
-0.04123064503073692,
-0.045537203550338745,
-0.01811564341187477,
0.03465845808386803,
0.08897729963064194,
0.013518857769668102,
0.027243681252002716,
-0.056584469974040985,
0.004477419424802065,
-0.027430923655629158,
0.015690863132476807,
0.022506464272737503,
-0.008978243917226791,
-0.059917375445365906,
-0.006188341416418552,
-0.03726111724972725,
0.0032697098795324564,
0.025614676997065544,
-0.06744449585676193,
0.03250517696142197,
-0.014651671051979065,
-0.0476343147456646,
0.0447133406996727,
0.029902515932917595,
-0.01284478697925806,
0.04995611310005188,
-0.0006173127912916243,
0.01766626350581646,
0.00048302533105015755,
0.006815601605921984,
0.01261073537170887,
0.054187774658203125,
-0.029172271490097046,
-0.030351895838975906,
0.02303074114024639,
0.024210363626480103,
0.0049993558786809444,
0.0053457533940672874,
-0.015110412612557411,
-0.028460754081606865,
0.03162514045834541,
0.010382557287812233,
0.021326839923858643,
0.051978323608636856,
0.004376776982098818,
-0.008116931654512882,
-0.0576704740524292,
0.023461397737264633,
-0.030164653435349464,
0.0026003203820437193,
0.0383845679461956,
0.07613251358270645,
0.005926202982664108,
0.008252682164311409,
-0.0803641825914383,
-0.02042808011174202,
-0.057970061898231506,
-0.07017822563648224,
0.00408187136054039,
0.02301201783120632,
-0.03186855465173721,
-0.06628359854221344,
0.026532161980867386,
-0.017469659447669983,
-0.026026610285043716,
-0.06362476199865341,
-0.013949514366686344,
-0.0190705768764019,
-0.007812663912773132,
0.02091490849852562,
-0.012882235459983349,
-0.012713718228042126,
-0.053214117884635925,
-0.023143086582422256,
0.03138172626495361,
0.00027193943969905376,
0.1447753608226776,
-0.007073058746755123,
0.008383751846849918,
-0.015915552154183388,
0.01092555932700634,
-0.02211325615644455,
0.0023276496212929487,
-0.01851821318268776,
-0.09549331665039062,
0.009334003552794456,
-0.02879778854548931,
0.03669939190149307,
0.0503680445253849,
0.012563924305140972,
0.04609892889857292,
-0.01829352416098118,
0.052989427000284195,
-0.034227799624204636,
-0.03771049901843071,
0.04857052117586136,
0.04587424173951149,
0.047147486358881,
0.06939180940389633,
-0.008552269078791142,
0.02136428840458393,
0.016299398615956306,
0.0019168879371136427,
0.04950673133134842,
0.0012533498229458928,
-0.00984891876578331,
0.015784483402967453,
0.008205872029066086,
-0.007901604287326336,
-0.0007437010062858462,
0.03671811521053314,
-0.03439631685614586,
-0.01018595416098833,
0.004580402281135321,
0.07186340540647507,
-0.01714198663830757,
0.00809352658689022,
-0.024060571566224098,
0.048607971519231796,
0.028928857296705246,
0.025633402168750763,
0.09489414095878601,
-0.006497290451079607,
-0.00005083322321297601,
-0.03786029294133186,
0.004280815366655588,
-0.031568966805934906,
0.060441650450229645,
-0.02426653727889061,
0.02235667034983635,
0.03244900330901146,
0.058232199400663376,
0.021495359018445015,
-0.008819088339805603,
-0.0432528555393219,
-0.04901990294456482,
0.04321540519595146,
-0.06437373161315918,
0.00469040684401989,
-0.05710874870419502,
-0.003765900619328022,
-0.026756852865219116,
0.018490128219127655,
0.02930334210395813,
0.024303985759615898,
0.006445799022912979,
-0.050293147563934326,
-0.0437396839261055,
0.008074802346527576,
0.017656901851296425,
0.045012928545475006,
0.030876172706484795,
0.05482439696788788,
0.033029451966285706,
0.0004865360970143229,
0.0025184021797031164,
-0.0015435746172443032,
-0.0008472691406495869,
0.018330972641706467,
0.03574445843696594,
0.00045844982378184795,
0.004606148228049278,
-0.060179512947797775,
-0.04033188149333,
-0.046248722821474075,
0.01646791584789753,
0.01669260673224926,
-0.03681173920631409,
-0.0897262692451477,
-0.007751810364425182,
0.029883790761232376,
0.008959519676864147,
0.014436342753469944,
-0.026775576174259186,
0.05048038810491562,
0.019023766741156578,
-0.04976886883378029,
-0.0008080654079094529,
0.026944095268845558,
-0.011552819050848484,
-0.010682144202291965,
0.003590361448004842,
-0.005916840862482786,
-0.0031737484969198704,
0.031812380999326706,
0.008369708433747292,
-0.0302957221865654,
-0.002148599596694112,
-0.0383845679461956,
0.0184620413929224,
-0.029209719970822334,
0.011515370570123196,
0.0024294622708112,
0.052015770226716995,
0.053700946271419525,
-0.0026307471562176943,
0.01683303713798523,
0.033254142850637436,
0.014614222571253777,
0.013668650761246681,
-0.029827618971467018,
0.08620612323284149,
-0.02640109322965145,
0.02377970889210701,
0.014726567082107067,
-0.014183565974235535,
-0.0178535059094429,
-0.013209909200668335,
-0.033722247928380966,
-0.06557207554578781,
-0.04654831066727638,
0.06718235462903976,
0.0013200546381995082,
0.0014628265053033829,
0.001424207934178412,
-0.004807433113455772,
0.022225601598620415,
-0.03289838507771492,
0.019885078072547913,
-0.03359117731451988,
0.0012311148457229137,
0.04445120319724083,
0.03681173920631409,
0.022618809714913368,
-0.04546230658888817,
0.0018724179826676846,
-0.07796748727560043,
0.027018992230296135,
0.017947126179933548,
-0.034433767199516296,
0.002277328399941325,
-0.012760528363287449,
0.001620811759494245,
0.04564955085515976,
-0.012741804122924805,
0.028966305777430534,
0.02690664678812027,
-0.017394762486219406,
0.004332307260483503,
-0.008229277096688747,
0.012638821266591549,
0.010860024020075798,
-0.04392692446708679,
0.021495359018445015,
0.02379843220114708,
0.028179891407489777,
0.02447250299155712,
-0.019510595127940178,
0.004131022375077009,
0.019529320299625397,
-0.0074475426226854324,
0.0036675985902547836,
-0.07542099803686142,
-0.051753632724285126,
-0.00755988759920001,
-0.024678468704223633,
-0.026850473135709763,
-0.006586230359971523,
-0.021495359018445015,
-0.04138043895363808,
-0.00960550457239151,
0.07564568519592285,
-0.019641663879156113,
0.008173104375600815,
0.018452679738402367,
-0.0017249650554731488,
-0.016636433079838753,
-0.012994580902159214,
-0.05471205338835716,
0.024809537455439568,
0.030108481645584106,
-0.005074252840131521,
0.04006974399089813,
0.02546488493680954,
-0.005762366112321615,
-0.047222379595041275,
-0.035894252359867096,
0.018143730238080025,
0.036156389862298965,
-0.005214684177190065,
-0.01893014647066593,
-0.0073866890743374825,
0.06980374455451965,
0.03269241750240326,
0.021757496520876884,
0.016074707731604576,
-0.04785900190472603,
-0.02376098372042179,
-0.023180535063147545,
-0.16222628951072693,
0.029846342280507088,
0.029172271490097046,
-0.0023487142752856016,
-0.06216427683830261,
0.004767644219100475,
-0.05160383880138397,
-0.01848076470196247,
-0.1127195656299591,
0.007569249719381332,
-0.008365027606487274,
-0.01702027954161167,
0.014258462935686111,
-0.01177750900387764,
-0.018920782953500748,
0.028254786506295204,
0.01941697485744953,
0.02593298815190792,
-0.02597043663263321,
0.01116897352039814,
-0.11017307639122009,
-0.0552363283932209,
-0.002902247942984104,
-0.012376682832837105,
-0.016055984422564507,
0.007279024925082922,
0.009422942996025085,
-0.02398567460477352,
0.0012416471727192402,
0.0013750569196417928,
-0.0644860714673996,
0.007756491657346487,
0.04475079104304314,
-0.009408900514245033,
0.0000702156758052297,
-0.007845431566238403,
-0.005359796341508627,
-0.008538225665688515,
0.06280089914798737,
-0.08980116248130798,
-0.017123261466622353,
-0.0185837484896183,
-0.035894252359867096,
-0.012133268639445305,
0.0152695681899786,
0.002974804025143385,
0.012170717120170593,
-0.005804495885968208,
-0.007480309810489416,
0.05598529800772667,
-0.0066938940435647964,
-0.010541712865233421,
-0.003911013249307871,
-0.011590267531573772,
-0.005734280217438936,
-0.014202290214598179,
-0.016720691695809364,
0.03250517696142197,
0.0141742043197155,
-0.0026424499228596687,
-0.024098020046949387,
-0.0033750333823263645,
-0.0024973375257104635,
0.016636433079838753,
0.006286643445491791,
0.012938408181071281,
0.025165297091007233,
0.024191640317440033,
0.01655217446386814,
-0.016112156212329865,
-0.035444870591163635,
-0.0023428630083799362,
0.051753632724285126,
0.008453967049717903,
0.05684661120176315,
-0.02308691293001175,
0.06002971902489662,
-0.013359702192246914,
-0.02836713194847107,
-0.0027360706590116024,
-0.042391542345285416,
0.00023887956922408193,
0.03258007392287254,
-0.05186597630381584,
0.024641020223498344,
0.01657089963555336,
0.002062000334262848,
-0.019033128395676613,
0.0006740704993717372,
0.041417885571718216,
0.024098020046949387,
0.04138043895363808,
0.009858280420303345,
-0.035201456397771835,
-0.024603571742773056,
0.01823735050857067,
-0.05362604930996895,
-0.0034265248104929924,
0.007199447136372328,
0.03426524996757507,
0.08013948798179626,
-0.00890334788709879,
-0.02692537009716034,
-0.005214684177190065,
-0.06853049993515015,
-0.03550104424357414,
-0.017010917887091637,
-0.043327752500772476,
0.04868286848068237,
0.019267180934548378,
-0.026756852865219116,
-0.03514528647065163,
0.041193194687366486,
-0.030145930126309395,
0.04602403566241264,
-0.013050753623247147,
-0.019304629415273666,
0.03145662322640419,
0.025895539671182632,
-0.02473464235663414,
0.0006611975841224194,
0.015213396400213242,
-0.05265239253640175,
-0.017919039353728294,
-0.053176671266555786,
-0.031025966629385948,
-0.06238896772265434,
-0.04246643930673599,
-0.09833939373493195,
0.056696817278862,
-0.0865057110786438,
-0.051753632724285126,
0.07508396357297897,
-0.04561210051178932,
0.021083425730466843,
-0.023704811930656433,
0.01766626350581646,
-0.06175234541296959,
-0.022000910714268684,
0.06778153032064438,
0.004812114406377077,
0.022412844002246857,
0.01319118496030569,
-0.014361445792019367,
-0.04104340076446533,
-0.06265110522508621,
-0.008009267970919609,
-0.008683338761329651,
0.015793845057487488,
-0.025801919400691986,
-0.015709586441516876,
-0.05141659826040268,
-0.01634620875120163,
0.008856536820530891,
-0.032037071883678436,
-0.018892697989940643,
-0.012217527255415916,
-0.06766918301582336,
-0.02885396033525467,
0.06006716936826706,
0.0009894558461382985,
-0.003962504677474499,
-0.008023311384022236,
0.02782413177192211,
0.042129404842853546,
0.018902059644460678,
0.017900316044688225,
-0.03392821550369263,
-0.041193194687366486,
0.02355501800775528,
-0.005186597816646099,
-0.014445704407989979,
0.009156123735010624,
0.024303985759615898,
-0.06486055999994278,
-0.02688792161643505,
0.054674603044986725,
-0.01582193188369274,
0.005317667033523321,
0.04392692446708679,
-0.037317290902137756,
0.00475126039236784,
0.008575674146413803,
-0.012526475824415684,
-0.03849691525101662,
-0.011328129097819328,
0.013350340537726879,
-0.026756852865219116,
0.028442028909921646,
0.009745935909450054,
0.022487739101052284,
-0.034733355045318604,
0.008299492299556732,
0.046248722821474075,
0.023349052295088768,
-0.017029641196131706,
-0.009811470285058022,
-0.034489940851926804,
-0.006019823718816042,
0.041193194687366486,
-0.004821476060897112,
0.011122162453830242,
-0.06714490801095963,
0.042391542345285416,
0.038047533482313156,
0.023480121046304703,
0.07197574526071548,
-0.0011550477938726544,
-0.02645726688206196,
0.019885078072547913,
-0.01768498867750168,
-0.03671811521053314,
0.014810826629400253,
-0.024903159588575363,
0.034246522933244705,
0.04149278253316879,
-0.0008864728733897209,
-0.03739218786358833,
-0.0442265123128891,
0.039470572024583817,
-0.015110412612557411,
0.011814957484602928,
0.03954546898603439,
0.014211652800440788,
0.0038080301601439714,
-0.021682599559426308,
0.018789714202284813,
-0.020502977073192596,
0.0001922154042404145,
0.012180078774690628,
0.02400439791381359,
-0.0034592922311276197,
-0.012741804122924805,
-0.023367775604128838,
0.003920374903827906,
-0.0005511930212378502,
-0.0031292785424739122,
-0.028722891584038734,
0.010953645221889019,
0.044563546776771545,
0.018536938354372978,
0.014221014454960823,
0.0009414751548320055,
-0.02351756952702999,
-0.003220558864995837,
0.0884530246257782,
-0.02424781210720539,
0.02304946444928646,
-0.01827479898929596,
-0.01103790383785963,
-0.04036933183670044,
-0.015541069209575653,
-0.00045406134449876845,
-0.013181822374463081,
0.028535649180412292,
-0.02861054614186287,
0.0077003189362585545,
-0.016252588480710983,
-0.002897566882893443,
0.008847175166010857,
0.0033539687283337116,
0.008477372117340565,
0.005486184731125832,
0.014024410396814346,
-0.0004716152907349169,
-0.00003187133188475855,
-0.0031035328283905983,
-0.022712429985404015,
-0.012807338498532772,
0.027767958119511604,
0.029977411031723022,
-0.009174847975373268,
-0.040256988257169724,
0.029471859335899353,
0.027262406423687935,
0.028722891584038734,
0.06238896772265434,
-0.012507752515375614,
0.026101507246494293,
0.014314635656774044,
0.014183565974235535,
0.02304946444928646,
0.001459315768443048,
0.0015388935571536422,
0.018546300008893013,
-0.04033188149333,
-0.01608407124876976,
-0.022768601775169373,
-0.02207580767571926,
-0.013303529471158981,
0.053438808768987656,
-0.016514725983142853,
0.007756491657346487,
0.007602016907185316,
0.05710874870419502,
-0.0187054555863142,
-0.02542743645608425,
-0.006525376811623573,
0.009886367246508598,
0.046473413705825806,
0.034714628010988235,
0.006895179394632578,
0.02544615976512432,
0.04299071803689003,
0.01776924729347229,
-0.03141917288303375,
-0.014323997311294079,
-0.015194672159850597,
-0.049806319177150726,
0.01778797060251236,
0.010251488536596298,
-0.014829549938440323,
0.009554012678563595,
0.016055984422564507,
0.009633590467274189,
0.0728745087981224,
0.008341622538864613,
-0.07126422971487045,
-0.034695904701948166,
0.06467331945896149,
-0.005205322057008743,
0.07261236757040024,
0.003578658914193511,
0.003023955039680004,
-0.0003569296677596867,
-0.021963462233543396,
0.03868415579199791,
0.02333032712340355,
0.0013949513668194413,
0.016140243038535118,
-0.016233863309025764,
0.05242770165205002,
-0.0315127931535244,
-0.01660834811627865,
0.011000455357134342,
0.0058232201263308525,
-0.021439185366034508,
0.020315734669566154,
0.033235419541597366,
-0.009310598485171795,
-0.008482053875923157,
-0.007035610731691122,
0.0349767692387104,
0.031063415110111237,
0.02284349873661995,
0.023480121046304703,
0.02688792161643505,
0.0865057110786438,
-0.012788615189492702,
0.016514725983142853,
-0.04819604009389877,
0.04003229737281799,
0.013050753623247147,
-0.034958042204380035,
0.008210552856326103,
0.01825607568025589,
-0.003896969836205244,
-0.017132624983787537,
-0.020708942785859108,
-0.01585938036441803,
0.020727666094899178,
0.03147534653544426,
-0.023180535063147545,
-0.014305273070931435,
-0.027955200523138046,
0.008308854885399342,
-0.012994580902159214,
-0.026120230555534363,
-0.027805406600236893,
-0.017151348292827606,
-0.04051912575960159,
-0.004910415969789028,
0.01898631826043129,
-0.03507038950920105,
-0.02333032712340355,
-0.03505166620016098,
-0.014614222571253777,
-0.012432855553925037,
0.0057904524728655815,
-0.02304946444928646,
-0.031082138419151306,
0.022656258195638657,
0.013977600261569023,
0.04186726734042168,
-0.007101145107299089,
-0.004613169934600592,
0.021289391443133354,
0.005228727124631405,
-0.015082326717674732,
0.05598529800772667,
-0.0032088563311845064,
0.0518285296857357,
0.03432141989469528,
0.04400182142853737,
0.010223401710391045,
-0.017965851351618767,
0.00781734474003315,
0.026101507246494293,
0.009451029822230339,
0.015653414651751518,
0.03271114081144333,
-0.035426147282123566,
-0.00018431614444125444,
0.0037939869798719883,
0.028385857120156288,
-0.033272866159677505,
0.01355630625039339,
-0.00282267015427351,
0.02668195590376854,
-0.029715273529291153,
-0.019622940570116043,
0.008669295348227024,
0.0033094987738877535,
-0.030426792800426483,
0.007012205198407173,
0.031362999230623245,
-0.013153736479580402,
0.010232764296233654,
0.03771049901843071,
-0.051753632724285126,
0.022038359194993973,
-0.030127204954624176,
0.014342721551656723,
0.007302429992705584,
0.014136755838990211,
0.012470304034650326,
0.0012779252137988806,
-0.04051912575960159,
0.04628617316484451,
-0.0009163145441561937,
0.041193194687366486,
-0.027674337849020958,
-0.042840924113988876,
0.012301785871386528,
-0.007410094141960144,
0.010064247064292431,
0.04100595414638519,
-0.03724239394068718,
-0.030632758513092995,
-0.015054240822792053,
0.05673426389694214,
0.031138310208916664,
0.022862223908305168,
-0.006398988422006369,
-0.021944738924503326,
0.022263050079345703,
-0.014792102389037609,
-0.003644193522632122,
0.006885817274451256,
-0.01924845762550831,
0.03074510395526886,
-0.002656493103131652,
-0.0038337758742272854,
0.003840797347947955,
0.035912975668907166,
-0.03578190878033638,
0.006085358560085297,
-0.012058371677994728,
-0.015335103496909142,
-0.019810182973742485,
-0.03196217492222786,
-0.0007507225964218378,
-0.02570829913020134,
0.020165940746665,
-0.0035809993278235197,
-0.023629914969205856,
0.003487378591671586,
0.012414131313562393,
-0.04883266240358353,
0.03263624384999275,
-0.0012826062738895416,
-0.04467589408159256,
0.02885396033525467,
0.0011848894646391273,
0.009563375264406204,
-0.004128681495785713,
-0.01584065519273281,
-0.033759694546461105,
0.0009408900514245033,
-0.01888333447277546,
0.01697346940636635,
0.005799814593046904,
-0.05212811753153801,
-0.041904713958501816,
-0.003185451030731201,
-0.028666719794273376,
0.027243681252002716,
0.020521700382232666,
0.058981165289878845,
0.037354737520217896,
0.013986961916089058,
-0.05122935399413109,
-0.02426653727889061,
-0.055386122316122055,
0.0037237713113427162,
0.010635334067046642,
-0.041455332189798355,
-0.007648827508091927,
-0.0016500683268532157,
-0.05617253854870796,
-0.00249031581915915,
-0.016336847096681595,
-0.05066762864589691,
-0.009582098573446274,
-0.03003358468413353,
-0.023124361410737038,
0.04636107012629509,
-0.01082257553935051,
-0.023405224084854126,
-0.033740971237421036,
-0.021289391443133354,
0.009188891388475895,
-0.026513438671827316,
0.020596597343683243,
-0.028516925871372223,
0.019866354763507843,
-0.0014277186710387468,
-0.001389100099913776,
0.029827618971467018,
-0.021982187405228615,
-0.03965781256556511,
0.005125744268298149,
0.000712103967089206,
-0.0006617827457375824,
-0.004414225462824106,
0.02327415533363819,
-0.02065277099609375,
0.014099307358264923,
0.04684789851307869,
0.03353500738739967,
-0.023948226124048233,
0.021757496520876884,
-0.01319118496030569,
0.0290786512196064,
0.052240461111068726,
0.04583679139614105,
-0.014820188283920288,
-0.014848274178802967,
0.022974569350481033,
-0.024846985936164856,
-0.04029443487524986,
-0.00617897929623723,
0.011936664581298828,
-0.021064702421426773,
0.004173151683062315,
-0.05261494591832161,
-0.007428818382322788,
0.001310692634433508,
-0.014221014454960823,
-0.014857636764645576,
0.01632748544216156,
0.012198803015053272,
0.010448092594742775,
0.0005315911839716136,
0.031063415110111237,
0.00018387730233371258,
-0.020952356979250908,
-0.03748580813407898,
0.014969981275498867,
0.04737217351794243,
-0.008074802346527576,
0.003721430664882064,
0.0003835531242657453,
-0.026363644748926163,
-0.01463294681161642,
-0.011683887802064419,
-0.013865254819393158,
-0.042354095727205276,
-0.017376039177179337,
0.02134556509554386,
0.027749234810471535,
-0.05886882171034813,
0.03286093473434448,
0.008018629625439644,
-0.009886367246508598,
0.015456810593605042,
0.0031082138884812593,
-0.0074147749692201614,
-0.008556949906051159,
-0.047671761363744736,
-0.013846530579030514,
-0.006768791005015373,
0.007957776077091694,
0.03385331854224205,
0.018527576699852943,
-0.01817181706428528,
0.037560705095529556,
0.009642952121794224,
-0.02282477542757988,
-0.026719404384493828,
-0.012011561542749405,
-0.022693706676363945,
0.04632361978292465,
-0.0020339139737188816,
-0.0075786118395626545,
-0.007311792112886906,
0.019978700205683708,
-0.04879521206021309,
0.009305917657911777,
0.05171618610620499,
0.03452738747000694,
-0.0007594995549879968,
-0.019061215221881866,
0.0067968773655593395,
0.033010728657245636,
0.016524089500308037,
-0.01655217446386814,
0.02904120273888111,
-0.04306561499834061,
0.02213198132812977,
0.014445704407989979,
0.03377842158079147,
0.050068456679582596,
0.03673684224486351,
-0.058981165289878845,
0.013144373893737793,
-0.03076382726430893,
-0.03776666894555092,
0.011318766511976719,
0.024397606030106544,
-0.009558693505823612,
-0.010251488536596298,
-0.006487928330898285,
-0.020334459841251373,
0.025127848610281944,
0.009216977283358574,
-0.02617640420794487,
0.009460391476750374,
-0.0176100917160511,
0.017235606908798218,
0.012404768727719784,
0.029359513893723488,
-0.03072637878358364,
0.022899672389030457,
-0.009689763188362122,
0.021514082327485085,
-0.00026798981707543135,
0.030183378607034683,
-0.004924459382891655,
-0.014820188283920288,
-0.01392142754048109,
-0.00864120852202177,
-0.03173748403787613,
-0.007925009354948997,
-0.030595310032367706,
-0.004037401173263788,
-0.002087746048346162,
-0.018911421298980713,
-0.009011011570692062,
0.0034546111710369587,
-0.00984891876578331,
-0.02042808011174202,
-0.007124550174921751,
-0.035407423973083496,
-0.00046810449566692114,
-0.002179026370868087,
-0.001926249940879643,
-0.0005672841216437519,
-0.0153912752866745,
-0.002867140108719468,
0.011843043379485607,
0.008673976175487041,
-0.03259879723191261,
-0.03769177198410034,
0.020521700382232666,
-0.020128494128584862,
-0.026045333594083786,
0.012329872697591782,
-0.007030929438769817,
-0.021439185366034508,
-0.016252588480710983,
-0.0021825372241437435,
-0.030595310032367706,
0.02044680342078209,
0.021738773211836815,
-0.04441375285387039,
-0.009165486320853233,
0.04677300155162811,
-0.025539781898260117,
0.016627071425318718,
0.006492609158158302,
0.06830580532550812,
-0.001887631369754672,
0.01046681683510542,
0.05283963680267334,
-0.0025932989083230495,
-0.020521700382232666,
0.01949187181890011,
0.03027699887752533,
-0.01153409481048584,
0.03690535947680473,
0.03072637878358364,
0.00236860872246325,
0.029490582644939423,
-0.059430547058582306,
0.0032533262856304646,
0.02376098372042179,
-0.06766918301582336,
0.03052041307091713,
0.022862223908305168,
0.008205872029066086,
-0.01971656084060669
] |
Diffusion models have emerged as powerful generative models in the
text-to-image domain. This paper studies their application as
observation-to-action models for imitating human behaviour in sequential
environments. Human behaviour is stochastic and multimodal, with structured
correlations between action dimensions. Meanwhile, standard modelling choices
in behaviour cloning are limited in their expressiveness and may introduce bias
into the cloned policy. We begin by pointing out the limitations of these
choices. We then propose that diffusion models are an excellent fit for
imitating human behaviour, since they learn an expressive distribution over the
joint action space. We introduce several innovations to make diffusion models
suitable for sequential environments; designing suitable architectures,
investigating the role of guidance, and developing reliable sampling
strategies. Experimentally, diffusion models closely match human demonstrations
in a simulated robotic control task and a modern 3D gaming environment. | [
0.012621506117284298,
-0.021077914163470268,
-0.035015664994716644,
-0.02010425552725792,
0.025639686733484268,
0.033933818340301514,
-0.03815300762653351,
0.009998035617172718,
-0.06833643466234207,
0.008988315239548683,
-0.001324131153523922,
0.004111004527658224,
0.02655925415456295,
-0.03528612479567528,
0.011638831347227097,
0.0358450748026371,
0.03894636034965515,
0.03676464408636093,
0.005566985346376896,
-0.0006496694986708462,
-0.013144397176802158,
-0.004859279841184616,
-0.054308537393808365,
0.08597048372030258,
0.015362175181508064,
0.001785041531547904,
0.004455842077732086,
-0.03606144338846207,
-0.04395890235900879,
0.10025081783533096,
0.030129337683320045,
0.014658977277576923,
-0.013613195158541203,
-0.03847756236791611,
-0.021492620930075645,
-0.012567413970828056,
0.045834098011255264,
0.0677594542503357,
-0.024629967287182808,
0.0687691792845726,
-0.008136363700032234,
0.012540367431938648,
-0.06047504395246506,
-0.07601752877235413,
-0.0350336953997612,
-0.005391186103224754,
-0.017688138410449028,
0.006482044700533152,
-0.026811683550477028,
-0.031030872836709023,
0.02857869490981102,
-0.06144870072603226,
0.012134675867855549,
-0.005188340321183205,
-0.0619175024330616,
0.07904668897390366,
0.01627272740006447,
-0.006270183715969324,
0.03934303671121597,
0.011918307282030582,
0.005603047087788582,
-0.03312243893742561,
-0.012423167936503887,
-0.022231880575418472,
0.025693779811263084,
-0.011206094175577164,
0.0338977575302124,
-0.008925207890570164,
0.013622211292386055,
-0.0033311760053038597,
-0.03256348520517349,
-0.01031357329338789,
-0.02219581976532936,
-0.020518962293863297,
0.005990707781165838,
-0.017850415781140327,
0.03919878974556923,
0.03151770308613777,
-0.007577411364763975,
-0.02066320739686489,
0.01961742527782917,
0.011332308873534203,
-0.05618373304605484,
0.002560362685471773,
0.07738786190748215,
-0.039739713072776794,
0.05420035123825073,
-0.045473482459783554,
0.06328783929347992,
-0.05153180658817291,
-0.027298513799905777,
0.0025558548513799906,
0.019364995881915092,
-0.02724442258477211,
-0.06793976575136185,
0.007667564786970615,
0.027983682230114937,
-0.017183277755975723,
-0.032238930463790894,
-0.008668269962072372,
0.0307964738458395,
0.01071926485747099,
-0.013658272102475166,
0.016299773007631302,
-0.02187126688659191,
-0.04125429317355156,
-0.019599394872784615,
0.009511206299066544,
-0.00502606388181448,
0.12881147861480713,
-0.007870410569012165,
0.029606446623802185,
-0.0443195141851902,
0.04338191822171211,
-0.027911558747291565,
0.006500075571238995,
-0.043814655393362045,
-0.05063026770949364,
0.04024457186460495,
-0.0830855667591095,
0.03753996267914772,
0.06328783929347992,
-0.00464291125535965,
0.01311735063791275,
-0.020609116181731224,
0.041759151965379715,
-0.01715623214840889,
-0.023998891934752464,
0.05827529355883598,
-0.02812792733311653,
-0.024251321330666542,
0.02897537127137184,
-0.03717935085296631,
0.053623367100954056,
0.003973520360887051,
-0.02059108577668667,
-0.004832233767956495,
-0.011936338618397713,
-0.045112866908311844,
-0.0043814657256007195,
-0.0185716450214386,
-0.008312162943184376,
-0.03678267449140549,
0.005977184511721134,
0.009565298445522785,
-0.029119616374373436,
-0.005562477745115757,
0.018265122547745705,
-0.022917049005627632,
-0.029858876019716263,
-0.061412639915943146,
0.045221053063869476,
-0.010106219910085201,
0.03281591460108757,
0.03067025914788246,
0.0040929741226136684,
0.0008874495979398489,
0.007843364030122757,
0.04933205619454384,
-0.06144870072603226,
0.025008611381053925,
-0.006757013034075499,
0.01873392052948475,
0.052974261343479156,
0.06927403807640076,
0.005769831128418446,
0.00528750941157341,
-0.016570234671235085,
-0.05308244749903679,
0.023349786177277565,
-0.050558146089315414,
-0.027028052136301994,
0.00045471228077076375,
0.04846658185124397,
0.010547972284257412,
0.028434449806809425,
0.0334109291434288,
0.013919717632234097,
-0.020482901483774185,
0.007455703802406788,
-0.07028375566005707,
-0.017616016790270805,
0.015605590306222439,
0.024197230115532875,
0.09238941967487335,
0.0674348995089531,
0.074935682117939,
0.004325119778513908,
0.0368187353014946,
-0.020969729870557785,
0.01585802063345909,
0.029768722131848335,
0.04738473892211914,
-0.021781112998723984,
0.026541223749518394,
-0.022989170625805855,
-0.02946220152080059,
-0.023908738046884537,
-0.018102845177054405,
0.031824223697185516,
-0.06285510212182999,
-0.07302442938089371,
0.011647846549749374,
-0.002535570412874222,
0.007284411694854498,
0.03301425278186798,
-0.016939863562583923,
0.013811533339321613,
0.009457114152610302,
-0.07861395180225372,
0.05647222325205803,
0.006418937351554632,
-0.0645139217376709,
-0.020374717190861702,
-0.00587350782006979,
-0.04089367762207985,
0.015731805935502052,
0.019040443003177643,
0.0028330772183835506,
-0.03966758772730827,
-0.011431477963924408,
-0.008925207890570164,
0.05477733537554741,
0.005129740573465824,
-0.028434449806809425,
0.04392284154891968,
0.04298524186015129,
0.052469402551651,
-0.023710399866104126,
-0.013757441192865372,
-0.008794484660029411,
0.015632636845111847,
0.02971463091671467,
-0.008456408977508545,
0.03359123691916466,
-0.005819415673613548,
0.03992002084851265,
0.048863258212804794,
0.042804934084415436,
-0.022664617747068405,
-0.06624487787485123,
-0.03160785511136055,
-0.0231334175914526,
0.006531629245728254,
0.10147690773010254,
0.0544167198240757,
0.01618257351219654,
0.03265363723039627,
0.01683167926967144,
-0.008005640469491482,
0.0260724239051342,
-0.008974792435765266,
0.004059166181832552,
0.032671667635440826,
-0.010340618900954723,
0.10465031117200851,
0.023259632289409637,
-0.004192143213003874,
-0.008542054332792759,
-0.05722951143980026,
0.05369549244642258,
0.057662252336740494,
0.059321075677871704,
0.02619864046573639,
0.004295819438993931,
-0.020032132044434547,
0.018679829314351082,
0.023187508806586266,
0.02075336128473282,
-0.004404004197567701,
-0.02320553921163082,
-0.012666582129895687,
-0.046158649027347565,
-0.018860135227441788,
0.003881113138049841,
-0.02288098633289337,
0.04972873255610466,
-0.022953109815716743,
0.0540921688079834,
0.03128330409526825,
0.00938499066978693,
-0.025134827941656113,
-0.0034889448434114456,
0.0019281604327261448,
-0.030778443440794945,
-0.021077914163470268,
-0.029696600511670113,
-0.002302297856658697,
-0.06216993182897568,
0.01731850951910019,
-0.01974364183843136,
-0.020771391689777374,
-0.021168068051338196,
-0.012648551724851131,
0.043526165187358856,
-0.004566280636936426,
-0.06346814334392548,
0.024882396683096886,
0.044463761150836945,
0.022628556936979294,
-0.025603625923395157,
0.03047192096710205,
0.04255250468850136,
-0.014785192906856537,
0.030940718948841095,
0.020536992698907852,
0.02861475571990013,
0.030003122985363007,
0.030976781621575356,
-0.022051572799682617,
0.03984789550304413,
0.042768873274326324,
-0.004385973326861858,
-0.007099596783518791,
-0.01134132407605648,
0.03169801086187363,
0.04067730903625488,
-0.018860135227441788,
-0.014658977277576923,
-0.015470359474420547,
-0.03137345612049103,
0.020212439820170403,
-0.0967889204621315,
-0.00663079833611846,
0.031589824706315994,
-0.0002904636785387993,
0.017823368310928345,
-0.0029637999832630157,
-0.04998116195201874,
0.031824223697185516,
-0.06797582656145096,
-0.05784255638718605,
-0.01727343164384365,
0.0067975823767483234,
-0.019509240984916687,
-0.011521631851792336,
0.0020983254071325064,
0.03898242115974426,
-0.020771391689777374,
-0.04428345337510109,
0.02062714658677578,
-0.01611045002937317,
-0.03577295318245888,
-0.016317803412675858,
0.02082548476755619,
-0.046483203768730164,
-0.020807454362511635,
0.05445278063416481,
-0.023439940065145493,
-0.0066398135386407375,
0.0010660664411261678,
-0.01148557011038065,
-0.046158649027347565,
-0.0019923949148505926,
0.03431246429681778,
-0.005869000218808651,
-0.025134827941656113,
-0.03245529904961586,
-0.023710399866104126,
0.022466279566287994,
0.026667438447475433,
-0.055931299924850464,
-0.01546134427189827,
0.024197230115532875,
-0.07421445101499557,
-0.007721656933426857,
-0.05340699851512909,
-0.04637501761317253,
0.018138905987143517,
0.007365550380200148,
-0.01396479457616806,
0.03580901399254799,
-0.007460211403667927,
0.0563640370965004,
-0.03955940529704094,
0.025405287742614746,
-0.0181659534573555,
-0.03249136358499527,
-0.0055805086158216,
0.04435557872056961,
-0.01215270720422268,
0.010989725589752197,
-0.04388677701354027,
0.022213850170373917,
-0.03604341298341751,
0.016903802752494812,
-0.016164543107151985,
0.005463309120386839,
-0.030039183795452118,
0.014749131165444851,
0.0723392590880394,
-0.06696610152721405,
-0.04298524186015129,
-0.00972757488489151,
0.03775633126497269,
0.02212369628250599,
0.04298524186015129,
-0.0540921688079834,
0.020014101639389992,
0.018589675426483154,
0.0023845629766583443,
-0.02522497996687889,
0.024756181985139847,
0.014063963666558266,
0.017616016790270805,
-0.01731850951910019,
-0.011197078973054886,
0.020410778000950813,
-0.008672777563333511,
-0.00613495334982872,
-0.06606456637382507,
-0.029047494754195213,
-0.021564744412899017,
-0.02062714658677578,
0.006482044700533152,
-0.04266069084405899,
-0.02874097228050232,
0.030868597328662872,
0.0019777449779212475,
-0.036331906914711,
0.07057224959135056,
0.03930697590112686,
0.08070551604032516,
0.003705313429236412,
-0.04709624871611595,
0.04662744700908661,
0.020014101639389992,
0.02316947840154171,
-0.021258221939206123,
-0.05340699851512909,
0.003407806623727083,
-0.036836765706539154,
0.021384436637163162,
-0.05420035123825073,
-0.03285197541117668,
0.0007494019228033721,
-0.006788567174226046,
0.03800876438617706,
-0.03216680884361267,
-0.004122273996472359,
-0.005206371191889048,
-0.04828627407550812,
-0.02026653289794922,
-0.017904506996273994,
0.022754771634936333,
-0.018183983862400055,
0.017688138410449028,
-0.017751246690750122,
-0.01703001745045185,
-0.00946612935513258,
-0.07309655100107193,
0.04846658185124397,
-0.03656630590558052,
-0.047925662249326706,
0.02600030228495598,
-0.01160276960581541,
-0.0366564579308033,
0.00537766283378005,
0.0014469654997810721,
-0.02554953470826149,
0.010584034025669098,
0.002948023146018386,
-0.000903789943549782,
-0.010764341801404953,
0.02026653289794922,
-0.007789272349327803,
-0.0014018886722624302,
0.005878015421330929,
-0.013946764171123505,
0.029534323140978813,
-0.01622764952480793,
-0.026415009051561356,
-0.06635306030511856,
-0.00453247269615531,
0.02616257779300213,
0.020915638655424118,
-0.009209191426634789,
-0.031463611871004105,
0.034042004495859146,
-0.0022008749656379223,
0.008019164204597473,
-0.026667438447475433,
0.02535119652748108,
-0.030616166070103645,
-0.0016791110392659903,
-0.013667287304997444,
0.07064437121152878,
0.03717935085296631,
-0.007383580785244703,
-0.03963152691721916,
0.025783933699131012,
-0.03580901399254799,
-0.06970677524805069,
0.01662432588636875,
-0.006829136051237583,
-0.06018655002117157,
-0.008023671805858612,
-0.008384286426007748,
0.04222795367240906,
0.04745686054229736,
-0.006175522692501545,
-0.040064264088869095,
0.019346965476870537,
-0.02962447702884674,
-0.002141148317605257,
-0.019887886941432953,
-0.008744900114834309,
0.015244975686073303,
-0.011530647054314613,
-0.01182815432548523,
0.0007522192317992449,
0.04965661093592644,
0.011449508368968964,
-0.028795063495635986,
0.009421052411198616,
-0.012603474780917168,
-0.020050164312124252,
0.025892117992043495,
0.06364844739437103,
0.01812087558209896,
0.03317653015255928,
0.026973960921168327,
-0.018265122547745705,
0.015560513362288475,
-0.09534645825624466,
0.051964543759822845,
0.011774062179028988,
-0.03676464408636093,
0.04132641479372978,
0.04230007529258728,
-0.03557461500167847,
0.002039725426584482,
-0.012170737609267235,
-0.05445278063416481,
-0.01528103742748499,
0.034294433891773224,
0.03436655551195145,
0.007090581580996513,
0.031012842431664467,
0.029804784804582596,
0.018824074417352676,
0.05621979385614395,
-0.02955235354602337,
0.021330345422029495,
0.031950440257787704,
-0.002959292382001877,
-0.0032793376594781876,
-0.038044825196266174,
-0.02857869490981102,
0.022304004058241844,
-0.00990788172930479,
0.02010425552725792,
0.009114529937505722,
0.010926618240773678,
-0.03815300762653351,
-0.023584185168147087,
-0.037323594093322754,
-0.016236664727330208,
0.009808712638914585,
-0.007514303550124168,
0.0006175522576086223,
-0.012125660665333271,
-0.01896831952035427,
-0.0027496851980686188,
0.036710552871227264,
-0.04507680609822273,
0.03829725459218025,
0.034222312271595,
0.01487534586340189,
0.025441348552703857,
-0.040424879640340805,
-0.02538725733757019,
-0.012143692001700401,
-0.018301183357834816,
0.037395719438791275,
0.006603752262890339,
0.011007755994796753,
-0.02280886471271515,
0.004124527797102928,
0.003694044193252921,
-0.012765751220285892,
-0.021943388506770134,
0.014884361065924168,
0.026090456172823906,
0.010124250315129757,
0.00855557806789875,
-0.009862804785370827,
-0.008222009055316448,
0.0038991437759250402,
-0.004059166181832552,
0.021420497447252274,
0.031788162887096405,
0.0013635733630508184,
0.011855199933052063,
-0.010908586904406548,
-0.028073834255337715,
0.04121823236346245,
0.007514303550124168,
-0.02672153152525425,
-0.04875507205724716,
0.003173407167196274,
0.041831277310848236,
0.02760503627359867,
0.0026865776162594557,
-0.013649256899952888,
0.006536136846989393,
-0.0031598841305822134,
-0.013541072607040405,
-0.00006402315193554386,
-0.011404432356357574,
0.009835759177803993,
0.00874039251357317,
0.006856182124465704,
-0.01455079298466444,
0.006815613247454166,
0.03177013248205185,
0.007843364030122757,
0.03676464408636093,
0.013153412379324436,
-0.026739561930298805,
0.009538251906633377,
-0.019022412598133087,
0.06465817242860794,
-0.004413019400089979,
-0.019148627296090126,
0.003349206643179059,
-0.018292168155312538,
-0.009430067613720894,
-0.01192732248455286,
0.02466602809727192,
-0.004990002606064081,
0.03205862641334534,
-0.008533039130270481,
0.02958841621875763,
0.012251876294612885,
-0.0001597409282112494,
0.02134837582707405,
0.058635909110307693,
0.026144547387957573,
-0.01463193167001009,
-0.007131150923669338,
-0.007207781542092562,
0.01945514976978302,
-0.007415134459733963,
-0.012468244880437851,
0.01981576345860958,
-0.015470359474420547,
-0.008145378902554512,
0.03506975620985031,
0.04320161044597626,
0.008037194609642029,
0.005283001810312271,
0.007861395366489887,
0.06018655002117157,
0.00990788172930479,
-0.00853754673153162,
0.0070680431090295315,
-0.001203550724312663,
0.016218634322285652,
0.012053538113832474,
0.012107630260288715,
-0.051207251846790314,
0.025459380820393562,
0.006342306733131409,
0.007040997035801411,
0.015839990228414536,
0.06628093868494034,
-0.040028203278779984,
-0.006346814334392548,
0.06995920091867447,
0.03171604126691818,
-0.028326265513896942,
-0.05250546336174011,
0.04017245024442673,
0.04085761681199074,
-0.012405137531459332,
0.01378448773175478,
0.03597129136323929,
0.006089876405894756,
-0.06426149606704712,
-0.02780337445437908,
-0.010088189505040646,
-0.016453035175800323,
-0.02288098633289337,
-0.002700100652873516,
-0.027911558747291565,
-0.0012170737609267235,
-0.008830546401441097,
-0.005508385598659515,
0.0017636300763115287,
-0.03970365226268768,
-0.039018481969833374,
0.01760699972510338,
-0.004246235359460115,
0.0014424577821046114,
0.021168068051338196,
-0.061088088899850845,
0.007811810355633497,
0.030832534655928612,
0.04532923549413681,
-0.00334469904191792,
-0.021077914163470268,
0.010944648645818233,
0.033194560557603836,
0.035051725804805756,
-0.045148927718400955,
0.002371039940044284,
-0.004365688655525446,
-0.028795063495635986,
-0.02059108577668667,
-0.02567574940621853,
0.013351749628782272,
0.034402620047330856,
0.026487130671739578,
0.021943388506770134,
0.02405298314988613,
0.0031080457847565413,
-0.03521399945020676,
0.016254696995019913,
0.0301473680883646,
0.013820548541843891,
-0.015190883539617062,
0.022051572799682617,
-0.04846658185124397,
0.01663334108889103,
0.040028203278779984,
0.018138905987143517,
-0.016723494976758957,
0.002234682673588395,
0.005769831128418446,
0.02506270445883274,
-0.06851674616336823,
-0.014848300255835056,
0.009763636626303196,
-0.024071015417575836,
0.018436413258314133,
-0.040388818830251694,
0.05560674890875816,
0.0013263850705698133,
-0.03595326095819473,
0.0011184682371094823,
-0.060330796986818314,
0.035177938640117645,
0.023782523348927498,
0.00019481632625684142,
0.005129740573465824,
-0.0019743640441447496,
0.06379269808530807,
-0.02975069172680378,
-0.035051725804805756,
0.08683595806360245,
0.015569528564810753,
0.003337937407195568,
-0.0016114958561956882,
-0.0322749949991703,
0.0077847642824053764,
0.029967060312628746,
-0.0010722645092755556,
0.017093125730752945,
-0.006738982629030943,
0.013613195158541203,
0.007428657729178667,
0.0000057094352996500675,
0.01630878821015358,
0.026216670870780945,
-0.0013793503167107701,
-0.006441475823521614,
0.006887735798954964,
0.010845479555428028,
-0.01771518401801586,
-0.008911684155464172,
0.020645176991820335,
0.012170737609267235,
-0.01481223851442337,
0.016011280938982964,
-0.023836614564061165,
-0.020374717190861702,
-0.018427398055791855,
-0.04067730903625488,
0.01305424328893423,
0.004886325914412737,
-0.00789294857531786,
0.0268838070333004,
0.049259934574365616,
-0.019761672243475914,
0.014127071015536785,
-0.05135149881243706,
0.02329569309949875,
0.01602029614150524,
0.00337625271640718,
-0.009348929859697819,
-0.04395890235900879,
-0.009357945062220097,
0.020284563302993774,
0.05109906941652298,
0.019833793863654137,
-0.01909453421831131,
0.015587559901177883,
0.030327675864100456,
-0.01513679139316082,
0.0134419035166502,
-0.011557693593204021,
-0.009006345644593239,
0.00809128675609827,
0.0154793756082654,
-0.033681388944387436,
-0.009511206299066544,
-0.03222090005874634,
0.05957350879907608,
0.01683167926967144,
0.013604179956018925,
0.021943388506770134,
-0.019346965476870537,
0.0005172563251107931,
-0.0023687861394137144,
-0.019761672243475914,
-0.036710552871227264,
-0.034402620047330856,
-0.020969729870557785,
-0.08258070796728134,
-0.0007950421422719955,
-0.05755406618118286,
0.05232515558600426,
-0.008271593600511551,
-0.023313723504543304,
-0.010854494757950306,
-0.000605719571467489,
-0.026324855163693428,
0.02082548476755619,
-0.006671367213129997,
0.0465913861989975,
0.02684774622321129,
-0.039739713072776794,
0.021132007241249084,
-0.016444018110632896,
0.030814504250884056,
-0.018914228305220604,
-0.030706319957971573,
0.014532762579619884,
0.05924895405769348,
-0.004295819438993931,
-0.0040704356506466866,
0.010430772788822651,
-0.03067025914788246,
-0.023638276383280754,
-0.019274841994047165,
-0.026342885568737984,
0.023998891934752464,
-0.009673482738435268,
-0.0019044950604438782,
0.025657719001173973,
0.011765046045184135,
0.04612258821725845,
-0.001271165907382965,
-0.04150672256946564,
0.02183520421385765,
0.029408108443021774,
0.03222090005874634,
-0.03387972712516785,
-0.014965499751269817,
0.005896046292036772,
-0.0010485992534086108,
-0.0345468632876873,
-0.002395832212641835,
-0.011179047636687756,
0.008050717413425446,
-0.0236202459782362,
-0.06152082607150078,
-0.013712364248931408,
-0.05012540891766548,
0.0028488540556281805,
0.040028203278779984,
-0.011548677459359169,
0.0544167198240757,
-0.022141726687550545,
0.07035587728023529,
0.008623193018138409,
-0.044499821960926056,
0.012648551724851131,
-0.06588426232337952,
0.00479166442528367,
0.01788647659122944,
-0.008041702210903168,
-0.025567565113306046,
0.07172621786594391,
-0.019473180174827576,
-0.008916192688047886,
-0.0032162300776690245,
0.01570475846529007,
-0.022628556936979294,
-0.008713346906006336,
0.017868446186184883,
-0.027839435264468193,
-0.014307377859950066,
0.04338191822171211,
0.010998740792274475,
-0.007464719004929066,
-0.034528832882642746,
0.0010040858760476112,
-0.012369075790047646,
0.007852379232645035,
0.0006519232993014157,
-0.023548124358057976,
-0.01643500290811062,
0.026505162939429283,
0.008920700289309025,
0.006130445748567581,
-0.010034097358584404,
0.021095944568514824,
0.0015912113012745976,
-0.008947745896875858,
0.0044242884032428265,
0.05138755962252617,
0.005305540282279253,
0.029516292735934258,
0.02470209077000618,
-0.011701938696205616,
-0.03173407167196274,
0.026631377637386322,
-0.02277280203998089,
0.0026617853436619043,
0.025495441630482674,
-0.0031283304560929537,
0.026180608198046684,
0.019797733053565025,
-0.007433165330439806,
0.04799778386950493,
0.027136238291859627,
0.013459933921694756,
0.028993401676416397,
-0.0002713060239329934,
0.016353866085410118,
0.006766028702259064,
0.025369226932525635,
0.00604479992762208,
-0.01784140057861805,
-0.0111610172316432,
-0.016840694472193718,
-0.0073565347120165825,
-0.0011286105727776885,
-0.017751246690750122,
0.0007122135139070451,
-0.01760699972510338,
0.01598423533141613,
0.013450918719172478,
0.01945514976978302,
0.012125660665333271,
0.06664154678583145,
0.010647141374647617,
0.028488541021943092,
-0.030489951372146606,
-0.008911684155464172,
-0.00002283774119860027,
-0.02235809527337551,
-0.022213850170373917,
-0.0007787018548697233,
-0.011476554907858372,
0.01699395664036274,
0.01602931320667267,
0.08460015058517456,
0.04907962679862976,
0.015163837932050228,
-0.04017245024442673,
-0.013631226494908333,
-0.036097507923841476,
0.017534878104925156,
-0.012405137531459332,
-0.02893931046128273,
-0.033681388944387436,
0.023403877392411232,
-0.043526165187358856,
-0.04359828680753708,
0.014523747377097607,
0.0015833227662369609,
0.013009166345000267,
-0.012747720815241337,
-0.010692218318581581,
0.005530924070626497,
-0.03407806530594826,
-0.03443868085741997,
0.036476150155067444,
-0.038693930953741074,
0.040388818830251694,
-0.008339209482073784,
0.01916665770113468,
-0.009961973875761032,
0.01039471197873354,
-0.0008063113782554865,
0.0007679960690438747,
0.006540644448250532,
-0.002257221145555377,
0.01469503901898861,
0.032311055809259415,
-0.010358650237321854,
-0.03891029953956604,
-0.019869856536388397,
-0.020230470225214958,
-0.015253990888595581,
0.05005328729748726,
0.012567413970828056,
-0.002632485469803214,
-0.025783933699131012,
-0.04763716831803322,
0.07342110574245453,
0.03285197541117668,
0.07334897667169571,
0.06119627133011818,
-0.01461390033364296,
-0.04568985104560852,
-0.00028877329896204174,
0.0130362119525671,
-0.009520221501588821,
-0.005778846796602011,
-0.01747176982462406,
-0.03350108116865158,
-0.006130445748567581,
-0.04763716831803322,
-0.027478821575641632,
-0.01410904061049223,
-0.03930697590112686,
0.055967364460229874,
-0.02111397683620453,
0.046843815594911575,
-0.05852772668004036
] |
We consider stochastic unconstrained bilevel optimization problems when only
the first-order gradient oracles are available. While numerous optimization
methods have been proposed for tackling bilevel problems, existing methods
either tend to require possibly expensive calculations regarding Hessians of
lower-level objectives, or lack rigorous finite-time performance guarantees. In
this work, we propose a Fully First-order Stochastic Approximation (F2SA)
method, and study its non-asymptotic convergence properties. Specifically, we
show that F2SA converges to an $\epsilon$-stationary solution of the bilevel
problem after $\epsilon^{-7/2}, \epsilon^{-5/2}$, and $\epsilon^{-3/2}$
iterations (each iteration using $O(1)$ samples) when stochastic noises are in
both level objectives, only in the upper-level objective, and not present
(deterministic settings), respectively. We further show that if we employ
momentum-assisted gradient estimators, the iteration complexities can be
improved to $\epsilon^{-5/2}, \epsilon^{-4/2}$, and $\epsilon^{-3/2}$,
respectively. We demonstrate even superior practical performance of the
proposed method over existing second-order based approaches on MNIST
data-hypercleaning experiments. | [
0.027647703886032104,
0.041698750108480453,
-0.04463478922843933,
-0.05515559762716293,
0.04494936391711235,
-0.00018759850354399532,
-0.051415640860795975,
0.04896894097328186,
-0.047361109405756,
0.006833282299339771,
0.0041004060767591,
0.004231479484587908,
0.04358620196580887,
-0.005229820031672716,
-0.0012517488794401288,
0.055120643228292465,
0.03117794170975685,
-0.012556810863316059,
0.04148903116583824,
-0.0915764644742012,
-0.014802531339228153,
-0.028801148757338524,
-0.004626883659511805,
0.06938140839338303,
-0.030391503125429153,
0.026843788102269173,
0.011167434975504875,
-0.002999391406774521,
-0.04662710055708885,
0.01934640295803547,
0.033537257462739944,
0.02074451558291912,
-0.04103464633226395,
0.004963304847478867,
-0.00857655517756939,
0.01443552691489458,
0.09367363899946213,
0.022404776886105537,
-0.010118849575519562,
0.07605739682912827,
-0.017651189118623734,
-0.017292922362685204,
-0.018490057438611984,
0.011927659623324871,
0.01950369030237198,
-0.0019234990468248725,
-0.01918911375105381,
0.02404756098985672,
-0.031160464510321617,
0.03544218838214874,
-0.04183856025338173,
-0.03196438029408455,
0.057986777275800705,
0.0030736662447452545,
-0.021688243374228477,
0.0015706936828792095,
0.03383435681462288,
0.03774907812476158,
0.007750794291496277,
-0.016620079055428505,
-0.0010267399484291673,
-0.0016897518653422594,
-0.048269886523485184,
0.030041974037885666,
0.02376793697476387,
-0.0161220021545887,
0.08137023448944092,
0.011613084003329277,
0.01467145886272192,
-0.009314934723079205,
-0.08787146210670471,
0.01791333593428135,
0.002182368654757738,
0.033100347965955734,
-0.024065036326646805,
0.03785393759608269,
0.04494936391711235,
-0.0025034977588802576,
0.00637889513745904,
0.0071303811855614185,
0.01311605703085661,
0.023872796446084976,
-0.033624641597270966,
0.04264247789978981,
0.03586162254214287,
-0.002582141663879156,
-0.031160464510321617,
-0.060573287308216095,
0.04072006791830063,
0.03304791823029518,
-0.04610280692577362,
0.04473964869976044,
-0.010407211259007454,
0.049982573837041855,
0.02357569709420204,
0.03586162254214287,
-0.012652931734919548,
0.010782954283058643,
-0.054806068539619446,
0.038762710988521576,
-0.019416308030486107,
0.038762710988521576,
-0.0015280948719009757,
0.04208322986960411,
0.04092978686094284,
0.022142630070447922,
-0.013290820643305779,
0.010066420771181583,
0.023243645206093788,
0.13785403966903687,
-0.00040441539022140205,
0.05134573578834534,
-0.00434070685878396,
0.0761273056268692,
-0.054806068539619446,
-0.0037071865517646074,
-0.04638243094086647,
-0.05921012535691261,
0.07598749548196793,
-0.03949671983718872,
-0.028993388637900352,
0.05872078612446785,
-0.0144704794511199,
-0.008982881903648376,
-0.05585465207695961,
0.037923842668533325,
0.055085692554712296,
-0.011045100167393684,
0.03666554018855095,
-0.01599966734647751,
0.04334153234958649,
-0.044844504445791245,
-0.01828034035861492,
0.008873654529452324,
-0.042257994413375854,
0.03642087057232857,
0.05665856972336769,
-0.03164980560541153,
-0.03757431358098984,
0.019835742190480232,
-0.01154317893087864,
-0.01110626757144928,
-0.018402675166726112,
0.06623564660549164,
0.006667255889624357,
0.048514556139707565,
-0.017109420150518417,
0.0007443864597007632,
-0.01309858076274395,
0.0408598817884922,
-0.035267423838377,
0.04218808934092522,
0.00069414172321558,
0.026267066597938538,
0.05291861295700073,
-0.008860547095537186,
0.027962280437350273,
-0.015746258199214935,
0.06354428082704544,
-0.053687576204538345,
0.06903187930583954,
0.027175839990377426,
-0.0014472664333879948,
0.013631611131131649,
0.013649087399244308,
0.05784696713089943,
0.0170744676142931,
0.041139502078294754,
-0.03886757045984268,
0.04470469430088997,
0.030269168317317963,
-0.024117466062307358,
-0.04872427135705948,
0.028539001941680908,
0.03746945410966873,
0.02102413959801197,
0.07696617394685745,
-0.002614910015836358,
-0.022666923701763153,
0.002103724516928196,
-0.014243286103010178,
-0.03519751876592636,
0.061447110027074814,
-0.004336338024586439,
0.040789976716041565,
0.026284541934728622,
0.05354776605963707,
0.0015827086754143238,
0.013666564598679543,
-0.03192942962050438,
0.014077260158956051,
0.028766194358468056,
0.057078003883361816,
-0.05113602057099342,
0.040824927389621735,
-0.031142989173531532,
-0.040824927389621735,
0.07235240191221237,
0.021915435791015625,
0.014199594967067242,
-0.04837474226951599,
-0.017668666318058968,
-0.05805668234825134,
-0.0014986033784225583,
0.005098747089505196,
0.0041266209445893764,
-0.029762351885437965,
-0.02747293934226036,
-0.000051746599638136104,
-0.025393245741724968,
0.049353424459695816,
-0.01800071820616722,
-0.0722125843167305,
-0.037644218653440475,
-0.05242927372455597,
-0.0403006337583065,
-0.00915764644742012,
-0.021845530718564987,
0.05288366228342056,
-0.02229991741478443,
-0.020097889006137848,
0.024816522374749184,
0.01627928949892521,
-0.032313909381628036,
0.04236285388469696,
0.0173540897667408,
-0.004412797279655933,
-0.003265906823799014,
0.0019737437833100557,
-0.04383087158203125,
0.008393052965402603,
-0.00420089578256011,
-0.028766194358468056,
0.009332410991191864,
-0.004919613711535931,
-0.020954232662916183,
-0.03311782330274582,
0.039077285677194595,
-0.012958768755197525,
-0.0286613367497921,
-0.016593866050243378,
0.015772473067045212,
-0.027333129197359085,
0.03586162254214287,
0.007750794291496277,
0.030356550589203835,
-0.013282082974910736,
0.03289063274860382,
0.04159389063715935,
0.053128331899642944,
-0.020080411806702614,
-0.04037054255604744,
-0.022684399038553238,
0.03089831955730915,
0.0019355140393599868,
0.022125152871012688,
-0.01481126993894577,
-0.05064667761325836,
0.025655390694737434,
-0.02887105382978916,
0.051730215549468994,
0.04124436154961586,
0.023977654054760933,
0.02058722823858261,
0.04613776132464409,
-0.002002142835408449,
0.08213919401168823,
0.04320172220468521,
-0.020971709862351418,
0.010660619474947453,
0.013570443727076054,
0.000015582007108605467,
-0.013684040866792202,
0.044215355068445206,
0.014356883242726326,
-0.04358620196580887,
0.016532698646187782,
-0.007252716459333897,
0.0007995464256964624,
-0.004972042981535196,
0.07752542197704315,
0.04260752350091934,
0.033222682774066925,
-0.0025034977588802576,
-0.011045100167393684,
-0.04606785625219345,
0.0004838785098399967,
0.010319828987121582,
-0.058860599994659424,
-0.002772197825834155,
-0.030566267669200897,
-0.019695930182933807,
-0.026109779253602028,
0.0059856753796339035,
-0.02532333880662918,
0.0535128116607666,
0.0009415423846803606,
-0.0226144939661026,
0.02850404940545559,
-0.02850404940545559,
-0.0113072469830513,
-0.013946186751127243,
0.06623564660549164,
0.035931527614593506,
0.07361070066690445,
0.005068163387477398,
-0.001025101519189775,
0.012207282707095146,
-0.008476066403090954,
0.024344660341739655,
-0.0020928019657731056,
-0.009979038499295712,
-0.021268809214234352,
-0.020360033959150314,
-0.03946176543831825,
0.0070954286493361,
0.089339479804039,
-0.002245720475912094,
-0.030391503125429153,
-0.0005854602204635739,
-0.027053505182266235,
0.017764786258339882,
-0.0590004101395607,
-0.0025755881797522306,
0.04033558815717697,
-0.0005346693797037005,
0.0011949505424126983,
0.013151009567081928,
-0.06494239717721939,
-0.006051212083548307,
-0.027245746925473213,
-0.028154520317912102,
-0.052219558507204056,
0.02731565199792385,
-0.024851476773619652,
0.00903531163930893,
-0.0695212185382843,
0.03121289424598217,
0.023383457213640213,
-0.07095428556203842,
-0.014444265514612198,
-0.01411221269518137,
0.04176865518093109,
0.04040549322962761,
0.015082154422998428,
0.010520807467401028,
-0.031160464510321617,
-0.001177474157884717,
0.03124784678220749,
-0.004052346106618643,
0.0010431241244077682,
0.030828412622213364,
0.0165676511824131,
0.005072532221674919,
0.08661316335201263,
-0.07200287282466888,
0.04334153234958649,
0.023663079366087914,
-0.024729140102863312,
0.010704310610890388,
0.02423980087041855,
-0.04750092327594757,
-0.011551916599273682,
0.031754665076732635,
-0.038238417357206345,
-0.01093150395900011,
0.011132482439279556,
0.00796051137149334,
0.025410721078515053,
-0.00555313378572464,
-0.045368798077106476,
-0.015422944910824299,
0.03893747553229332,
-0.0007405634969472885,
-0.027892373502254486,
-0.023226168006658554,
0.0021343084517866373,
-0.020692087709903717,
-0.07025522738695145,
0.03327511250972748,
-0.04861941188573837,
-0.026284541934728622,
0.03140513598918915,
0.022544587031006813,
0.010835383087396622,
0.0355994775891304,
-0.01046837866306305,
-0.04016082361340523,
0.014610291458666325,
-0.0034472248516976833,
0.03725973889231682,
-0.03981129452586174,
0.020325081422924995,
-0.003814229741692543,
0.024099988862872124,
0.008135275915265083,
0.0106081897392869,
-0.03491789847612381,
-0.034026600420475006,
-0.026214636862277985,
-0.008074108511209488,
-0.039951108396053314,
-0.02635444886982441,
0.022509634494781494,
-0.01178784854710102,
0.035529572516679764,
-0.032943062484264374,
-0.0030518206767737865,
-0.009821751154959202,
0.0010780768934637308,
0.011525701731443405,
-0.0865432545542717,
-0.004910875577479601,
0.023418409749865532,
0.0010119942016899586,
0.02264944650232792,
-0.08213919401168823,
-0.030234213918447495,
0.009052787907421589,
-0.041349221020936966,
-0.02638940140604973,
-0.021513478830456734,
0.05805668234825134,
-0.05784696713089943,
0.003781461389735341,
0.023995131254196167,
0.05795182287693024,
0.04267742857336998,
-0.033939216285943985,
0.008034786209464073,
0.017590021714568138,
0.05718286335468292,
-0.0369451604783535,
0.0035892208106815815,
0.001400298555381596,
0.05644885078072548,
0.0204299408942461,
0.014348144643008709,
-0.01552780345082283,
-0.026686500757932663,
0.06253064423799515,
-0.00760224461555481,
-0.0068158055655658245,
0.04127931594848633,
0.030024496838450432,
0.012950031086802483,
-0.04404059052467346,
0.01906677894294262,
-0.01073052454739809,
-0.012784005142748356,
-0.04557851701974869,
0.06074805185198784,
-0.051730215549468994,
-0.01301993615925312,
0.023103833198547363,
-0.048234932124614716,
0.05403710529208183,
-0.05505073815584183,
0.002077509881928563,
-0.016253074631094933,
0.01974835991859436,
0.027542846277356148,
0.03254110366106033,
-0.030915794894099236,
0.03065364807844162,
-0.003287752391770482,
0.011936398223042488,
-0.0358266718685627,
0.005837125703692436,
-0.000808284617960453,
0.012312141247093678,
-0.05648380517959595,
0.018420152366161346,
0.06120244041085243,
0.0650472491979599,
0.049108754843473434,
-0.03329258784651756,
-0.05938488990068436,
-0.002229336416348815,
-0.054596349596977234,
0.03177214041352272,
-0.05291861295700073,
-0.03233138471841812,
-0.07675645500421524,
0.035529572516679764,
-0.004766694735735655,
0.0484796017408371,
0.015055939555168152,
0.016698723658919334,
-0.04582318663597107,
-0.03285567834973335,
-0.017170587554574013,
-0.023907748982310295,
0.017231754958629608,
0.037679173052310944,
0.0032200312707573175,
0.012347093783318996,
-0.043656110763549805,
0.04879417642951012,
-0.0037290321197360754,
0.028486572206020355,
0.005068163387477398,
-0.014418050646781921,
-0.003521499689668417,
0.027647703886032104,
0.0014614660758525133,
0.022684399038553238,
0.0017039513913914561,
0.010354781523346901,
-0.002706661354750395,
-0.03570433706045151,
0.043376486748456955,
0.013264606706798077,
-0.05693819001317024,
0.019538642838597298,
0.005400215275585651,
0.022160107269883156,
-0.05008743330836296,
-0.0008508834289386868,
0.01807062327861786,
0.034253790974617004,
-0.021076567471027374,
0.004491440951824188,
-0.034218840301036835,
-0.031667280942201614,
0.03722478449344635,
0.047081489115953445,
-0.002944777486845851,
0.06424333900213242,
0.004268616903573275,
0.005981306545436382,
0.025620438158512115,
-0.08234891295433044,
-0.025061193853616714,
0.0014887729194015265,
-0.002783120609819889,
-0.04044044762849808,
0.06518706679344177,
-0.014418050646781921,
-0.01110626757144928,
-0.03834327682852745,
0.01144705805927515,
0.02336598001420498,
-0.032261479645967484,
-0.017843428999185562,
0.0009267966379411519,
0.014461741782724857,
-0.025550533086061478,
0.011158697307109833,
0.029168153181672096,
0.05809163674712181,
0.031142989173531532,
-0.024868952110409737,
-0.011167434975504875,
-0.03753935918211937,
0.003499654121696949,
-0.019730882719159126,
-0.0341489352285862,
-0.014802531339228153,
-0.009970299899578094,
-0.026808835566043854,
-0.014863699674606323,
0.008795010857284069,
-0.027490416541695595,
0.024152418598532677,
0.010083897039294243,
0.016532698646187782,
0.06501229852437973,
-0.015484112314879894,
0.011962613090872765,
-0.004388767294585705,
0.026773883029818535,
0.02687874063849449,
-0.06473267823457718,
-0.031789615750312805,
0.014383097179234028,
0.026406878605484962,
0.01859491504728794,
0.013439370319247246,
-0.022422252222895622,
0.04446002468466759,
-0.03771412372589111,
0.0088998693972826,
-0.008685783483088017,
-0.01322091557085514,
-0.0038382597267627716,
-0.0380636528134346,
-0.04176865518093109,
0.01878715679049492,
-0.01057323720306158,
0.037084974348545074,
0.026808835566043854,
0.03600143641233444,
-0.008371207863092422,
-0.027333129197359085,
-0.02738555707037449,
0.007650305051356554,
-0.010153803043067455,
0.003451593918725848,
-0.009384839795529842,
0.03865785151720047,
0.002673893002793193,
-0.006291512865573168,
-0.03495284914970398,
0.00759350648149848,
0.010005253367125988,
0.014269500970840454,
-0.007790116127580404,
0.004648728761821985,
-0.011237340979278088,
-0.01616569235920906,
0.04155893623828888,
0.039636529982089996,
-0.053407952189445496,
0.026564165949821472,
0.016585126519203186,
0.016340456902980804,
0.004072006791830063,
-0.037644218653440475,
0.001431974582374096,
0.006308989133685827,
-0.06455790996551514,
-0.017450209707021713,
0.027368081733584404,
-0.03427127003669739,
0.07242230325937271,
-0.01668124832212925,
-0.022439729422330856,
-0.00989165622740984,
-0.023540744557976723,
0.007755163591355085,
0.0017323505599051714,
0.01847258023917675,
-0.02249215915799141,
0.002181276213377714,
-0.010241185314953327,
0.0380636528134346,
0.029570110142230988,
-0.007047368213534355,
0.012189806438982487,
-0.02308635786175728,
-0.005802173167467117,
0.01166551373898983,
0.00796051137149334,
-0.01021497044712305,
-0.021880483254790306,
0.044809553772211075,
0.0033292588777840137,
0.014059783890843391,
0.047116439789533615,
-0.01850753463804722,
0.008663937449455261,
0.047920357435941696,
0.04351629689335823,
-0.04760578274726868,
-0.03514508903026581,
-0.007139119319617748,
0.011490749195218086,
-0.0034865466877818108,
-0.02420484833419323,
0.028923483565449715,
-0.013701517134904861,
0.003964963834732771,
-0.004473964683711529,
0.014994772151112556,
0.022981498390436172,
0.012242235243320465,
0.016130739822983742,
0.037119925022125244,
0.022754304111003876,
-0.041139502078294754,
0.03771412372589111,
0.02588258497416973,
0.043935731053352356,
0.03212166950106621,
-0.020971709862351418,
-0.030985701829195023,
0.058301351964473724,
0.013054889626801014,
-0.030758507549762726,
0.0008994897361844778,
-0.0014614660758525133,
0.03530237823724747,
-0.024536900222301483,
-0.04295705258846283,
-0.001806625397875905,
-0.02958758734166622,
-0.015038463287055492,
0.027927326038479805,
0.002138677518814802,
-0.004871553275734186,
-0.02504371665418148,
0.027298174798488617,
0.018490057438611984,
-0.002007604343816638,
0.07514862716197968,
0.015134584158658981,
-0.0013369465013965964,
-0.018892014399170876,
0.01057323720306158,
-0.028836101293563843,
0.016628818586468697,
-0.010442163795232773,
0.006409478839486837,
0.05180012434720993,
0.03897242620587349,
-0.009760582819581032,
0.00493708997964859,
-0.012416999787092209,
-0.019818264991044998,
0.030985701829195023,
0.008502280339598656,
-0.013247129507362843,
0.01671620085835457,
0.06099272146821022,
-0.021758148446679115,
-0.0025100514758378267,
0.003602328011766076,
0.01359665859490633,
0.02444951795041561,
0.02202029526233673,
0.008379945531487465,
-0.0005398576613515615,
-0.04631252586841583,
-0.0037574314046651125,
0.02257954142987728,
0.021041614934802055,
-0.002468544989824295,
0.0024183003697544336,
0.009218813851475716,
0.0278748981654644,
-0.034376125782728195,
-0.02516605146229267,
-0.009638248011469841,
0.021251332014799118,
-0.03628105670213699,
0.009105217643082142,
0.04232789948582649,
-0.020517323166131973,
0.0035389759577810764,
0.019853219389915466,
-0.023226168006658554,
-0.005972567945718765,
-0.007868760265409946,
-0.013858804479241371,
0.0096557242795825,
0.031667280942201614,
0.03252362459897995,
-0.0045263939537107944,
0.02233486995100975,
0.04550860822200775,
-0.03802869841456413,
0.013998616486787796,
-0.0071740723215043545,
-0.017694879323244095,
-0.016095787286758423,
-0.027140887454152107,
-0.03921709582209587,
0.008690152317285538,
-0.016410361975431442,
0.019835742190480232,
0.015082154422998428,
0.0710940957069397,
0.008965405635535717,
0.00698620080947876,
-0.026931170374155045,
-0.027280699461698532,
-0.006654148921370506,
0.022474681958556175,
-0.04215313494205475,
0.026773883029818535,
0.027298174798488617,
0.0590004101395607,
-0.0971689224243164,
-0.0026280174497514963,
-0.0019606363493949175,
-0.021985342726111412,
0.004871553275734186,
-0.04575328156352043,
0.02336598001420498,
-0.023540744557976723,
0.06410352885723114,
-0.015580232255160809,
0.003960594534873962,
0.01309858076274395,
0.00354771432466805,
-0.01691717840731144,
-0.020831897854804993,
0.013448108918964863,
0.01643657684326172,
0.010075158439576626,
0.0070954286493361,
-0.027140887454152107,
-0.013963663019239902,
0.037364594638347626,
-0.006741530727595091,
-0.022387299686670303,
0.03243624418973923,
-0.021391144022345543,
0.021950390189886093,
0.01303741242736578,
-0.012722836807370186,
-0.009323672391474247,
0.011892707087099552,
-0.028451619669795036,
-0.027298174798488617,
0.019084256142377853,
0.03428874537348747,
-0.030915794894099236,
-0.02285916358232498,
0.0012725021224468946,
0.03053131327033043,
-0.004727372899651527,
0.005478858947753906,
-0.012137376703321934,
0.014837484806776047,
-0.04477459937334061,
-0.008947929367423058,
-0.017231754958629608,
-0.007392527535557747,
-0.03746945410966873,
-0.016655033454298973,
-0.04330658167600632,
0.022072724997997284,
-0.027612751349806786,
0.017030775547027588,
-0.05616923049092293,
-0.011176173575222492,
-0.028643859550356865,
0.03212166950106621,
0.020954232662916183,
0.05445653945207596,
0.007178441621363163,
0.032313909381628036,
-0.05777706205844879,
0.019853219389915466,
-0.030845889821648598,
0.011097529903054237,
0.006422586273401976,
-0.000564160814974457,
-0.002623648149892688,
-0.0004003193462267518,
0.013072365894913673,
0.002348394598811865,
-0.022527111694216728,
0.008449851535260677,
0.003499654121696949,
0.052254509180784225,
-0.013439370319247246,
0.0017869644798338413,
0.009804273955523968,
0.04054530709981918,
0.05470120906829834,
-0.026004919782280922,
-0.02603987231850624,
0.00724397785961628,
-0.012460690923035145,
0.011246079578995705,
0.005251665599644184,
-0.010407211259007454,
0.04159389063715935,
0.05442158505320549,
0.019975554198026657,
-0.023960178717970848,
0.041628845036029816,
-0.035337332636117935,
-0.015370515175163746,
-0.0341489352285862,
-0.023068880662322044,
-0.061412155628204346,
0.001568509149365127,
-0.01807062327861786,
-0.020552275702357292,
0.0518350750207901,
0.02320869266986847,
0.008170228451490402,
0.008851809427142143,
0.013701517134904861,
-0.024676712229847908,
-0.026826312765479088,
0.006645410321652889,
0.010494592599570751,
-0.004565715789794922,
-0.09884665906429291,
0.03893747553229332,
0.030356550589203835,
0.0017170587088912725,
0.030863367021083832,
0.008524126373231411,
-0.06319475173950195,
0.025393245741724968,
0.02778751589357853,
-0.04344639182090759,
0.004165942780673504,
0.014758841134607792,
0.03128280118107796,
0.011752896010875702,
0.01479379367083311,
0.009446007199585438,
-0.011254817247390747,
-0.004174680914729834,
0.0050201029516756535,
0.03701506927609444,
-0.026721453294157982,
0.04327162727713585,
0.013823851943016052,
-0.016296766698360443,
-0.007545446511358023,
0.0013533306773751974,
0.015597709454596043,
-0.00010199132520938292,
0.006759007461369038,
-0.005618670489639044,
-0.08696269243955612,
-0.024466995149850845,
-0.006064319517463446,
-0.03862289711833,
-0.024868952110409737,
0.03781898319721222,
0.034743133932352066,
-0.0002004327398026362,
-0.0369451604783535,
0.03925205022096634,
0.04215313494205475,
-0.037329643964767456,
-0.021163949742913246,
0.028766194358468056,
0.05861593037843704,
-0.008493542671203613,
0.015440421178936958,
0.003466885769739747,
0.030950747430324554,
0.036805350333452225,
-0.007929927669465542,
0.01429571583867073,
0.011735418811440468,
0.043900780379772186,
0.011744157411158085,
-0.020604705438017845,
0.020237699151039124,
-0.006108010653406382,
-0.021006662398576736,
0.0035411606077104807,
0.003324889810755849,
0.007230870891362429,
-0.02236982434988022,
0.02448447048664093,
-0.015195751562714577,
-0.03344987705349922,
-0.006558028515428305,
0.01337820291519165,
0.0066148266196250916,
-0.00027812091866508126,
-0.03149251639842987,
-0.00012882036389783025,
0.0002913647622335702,
-0.006217238027602434,
0.009629510343074799,
-0.021198904141783714,
0.008502280339598656,
0.01934640295803547,
0.009323672391474247,
-0.02408251352608204,
0.0017869644798338413,
0.010905289091169834,
-0.014531646855175495,
-0.010643142275512218,
-0.03220904991030693,
-0.04949323460459709,
0.016821058467030525,
-0.00030146833159960806,
0.0004161573597230017,
-0.005858971271663904,
0.020831897854804993,
0.010075158439576626,
0.01168299000710249,
-0.043376486748456955,
-0.02436213567852974,
-0.061377204954624176,
0.010905289091169834,
0.017895858734846115,
0.011691728606820107,
0.023068880662322044,
0.0025646653957664967,
-0.0054482752457261086,
-0.011132482439279556,
0.000938265526201576,
-0.014566600322723389,
-0.003075850661844015,
-0.012469428591430187,
-0.005496335681527853,
0.025550533086061478,
0.04477459937334061,
-0.005561872385442257,
-0.010651880875229836,
0.007134750485420227,
-0.034900419414043427,
-0.00881685595959425,
0.03273334354162216,
0.0004710442735813558,
0.013526752591133118,
-0.031946904957294464,
-0.0242922306060791,
0.00432104617357254,
0.022474681958556175,
-0.007248347159475088,
-0.011726681143045425,
0.023243645206093788,
-0.03407902643084526,
0.011246079578995705,
-0.022701876237988472,
-0.029430299997329712,
-0.021163949742913246,
0.045368798077106476,
-0.057147908955812454,
-0.0029032710008323193,
0.022195059806108475,
-0.007357574999332428,
0.010101373307406902,
0.015737520530819893,
0.02002798207104206,
-0.023068880662322044,
-0.0013391310349106789,
-0.025393245741724968
] |
Description logic (DL) ontologies extend knowledge graphs (KGs) with
conceptual information and logical background knowledge. In recent years, there
has been growing interest in inductive reasoning techniques for such
ontologies, which promise to complement classical deductive reasoning
algorithms. Similar to KG completion, several existing approaches learn
ontology embeddings in a latent space, while additionally ensuring that they
faithfully capture the logical semantics of the underlying DL. However, they
suffer from several shortcomings, mainly due to a limiting role representation.
We propose Box$^2$EL, which represents both concepts and roles as boxes (i.e.,
axis-aligned hyperrectangles) and demonstrate how it overcomes the limitations
of previous methods. We theoretically prove the soundness of our model and
conduct an extensive experimental evaluation, achieving state-of-the-art
results across a variety of datasets. As part of our evaluation, we introduce a
novel benchmark for subsumption prediction involving both atomic and complex
concepts. | [
0.003325243014842272,
0.009576328098773956,
-0.035834603011608124,
-0.009153706952929497,
0.06973721832036972,
-0.06825107336044312,
0.03325242921710014,
0.031394753605127335,
-0.022217825055122375,
-0.018957599997520447,
0.06364403665065765,
-0.04443565011024475,
0.01260434277355671,
-0.02511580102145672,
-0.03967999294400215,
0.03897407650947571,
-0.012465016916394234,
0.015307263471186161,
0.015799548476934433,
-0.07995444536209106,
-0.0369306318461895,
-0.03033587522804737,
0.0052340067923069,
0.0506402924656868,
0.016691233962774277,
0.013737526722252369,
0.00319056143052876,
0.000672247086185962,
-0.061823513358831406,
0.07267235219478607,
0.026267562061548233,
-0.002010936150327325,
0.006209287792444229,
0.0013224342837929726,
-0.07166920602321625,
-0.00690591661259532,
0.05985437333583832,
-0.00013243210560176522,
-0.003308988409116864,
0.03698636218905449,
0.008526740595698357,
0.018493181094527245,
-0.07419564574956894,
0.010607339441776276,
-0.0071985009126365185,
-0.007491085212677717,
0.011313256807625294,
-0.03289947286248207,
-0.04859684780240059,
-0.08166351169347763,
-0.0515691302716732,
-0.03709782287478447,
0.07140912860631943,
-0.040645986795425415,
-0.05398411303758621,
-0.002369699999690056,
0.06438710540533066,
0.011749811470508575,
0.06587325036525726,
0.03726501390337944,
0.03953137993812561,
-0.022217825055122375,
-0.0649072602391243,
-0.01833527907729149,
0.007769736927002668,
-0.0833725705742836,
0.0753474086523056,
0.00434928759932518,
-0.0031789508648216724,
-0.013653931207954884,
-0.005001796875149012,
0.00217464379966259,
0.03941991925239563,
-0.018168088048696518,
0.02075025998055935,
0.009659923613071442,
0.002463744953274727,
0.013245241716504097,
-0.0020805990789085627,
0.019226964563131332,
0.0654645636677742,
0.01162906177341938,
0.011378275230526924,
0.031506214290857315,
0.009771384298801422,
-0.026694828644394875,
0.007384268566966057,
-0.07583039999008179,
-0.02756793610751629,
-0.04677632451057434,
-0.016301121562719345,
-0.07412134110927582,
-0.03553737327456474,
-0.04581033065915108,
-0.0012806365266442299,
0.009966440498828888,
-0.008048388175666332,
-0.01409977301955223,
-0.03039160557091236,
0.020434454083442688,
0.005396553780883551,
0.003443669993430376,
-0.02572883479297161,
-0.007207789458334446,
0.0016347563359886408,
-0.03195205703377724,
0.02346246875822544,
0.026156101375818253,
-0.0458846390247345,
0.09808538109064102,
0.04246651008725166,
0.047296471893787384,
-0.03275085613131523,
0.031171830371022224,
-0.01040299516171217,
-0.029369883239269257,
-0.06557602435350418,
-0.018363144248723984,
0.07846830785274506,
-0.011703369207680225,
0.01644044741988182,
0.03219355270266533,
0.012641496025025845,
-0.029462767764925957,
-0.021994903683662415,
0.02117752470076084,
-0.04477003216743469,
0.009367339313030243,
0.009167639538645744,
0.040311604738235474,
-0.04428703710436821,
0.009929287247359753,
-0.001178464270196855,
-0.06219504773616791,
0.029574228450655937,
0.03511010855436325,
0.04595894366502762,
0.03934561088681221,
-0.03897407650947571,
0.043283890932798386,
-0.037970930337905884,
-0.05821961909532547,
-0.02063879929482937,
0.03000149503350258,
0.031840596348047256,
0.03429272770881653,
-0.021864866837859154,
0.06446141749620438,
-0.029555652290582657,
-0.008066965267062187,
0.00010260766430292279,
0.0329180471599102,
-0.020081495866179466,
0.035778872668743134,
0.06241796910762787,
0.007439998909831047,
-0.01404404267668724,
0.01408119685947895,
0.04135190322995186,
0.05602755770087242,
0.06275235116481781,
-0.05301811918616295,
0.016505466774106026,
0.043395351618528366,
-0.033754002302885056,
0.0280695091933012,
0.01715565286576748,
0.009014381095767021,
-0.08463579416275024,
0.0331038162112236,
-0.02574741281569004,
0.02775370329618454,
-0.00926981121301651,
0.07230081409215927,
-0.029834304004907608,
0.013273106887936592,
0.07527309656143188,
-0.0035226212348788977,
0.013115203939378262,
-0.013449585996568203,
-0.028961194679141045,
0.015465166419744492,
0.025951756164431572,
0.020192956551909447,
0.052126433700323105,
0.01603175885975361,
0.08173781633377075,
-0.024725690484046936,
0.014229810796678066,
-0.015362993814051151,
-0.005308313760906458,
0.035964637994766235,
0.024539921432733536,
0.018651083111763,
0.014211233705282211,
-0.10083474218845367,
-0.017109211534261703,
0.03325242921710014,
-0.015623069368302822,
0.0230352021753788,
0.0007808051304891706,
-0.03945707157254219,
0.017973031848669052,
-0.03893692418932915,
-0.0006020036526024342,
-0.014127638190984726,
0.019747113808989525,
-0.022013479843735695,
0.000604906294029206,
-0.019784266129136086,
0.02125183306634426,
-0.010988163761794567,
-0.066579170525074,
0.0017694379203021526,
-0.00580524280667305,
-0.004172808490693569,
-0.04346965625882149,
-0.04818815737962723,
-0.0921408087015152,
-0.018957599997520447,
0.006994156166911125,
-0.012687938287854195,
0.054652877151966095,
-0.031023217365145683,
0.031134678050875664,
0.017610784620046616,
0.013013032265007496,
0.006785167846828699,
0.011972732841968536,
0.013161646202206612,
0.017369285225868225,
0.04250366613268852,
0.06828822940587997,
-0.038676850497722626,
-0.0002960673882625997,
0.010978874750435352,
0.015056476928293705,
-0.05818246304988861,
-0.02349962294101715,
-0.007388913072645664,
-0.0369306318461895,
-0.021381869912147522,
-0.027345014736056328,
-0.061303362250328064,
0.047296471893787384,
0.035927485674619675,
0.0002783613745123148,
0.012232807464897633,
0.0415005199611187,
0.03169197961688042,
0.014127638190984726,
0.04216928407549858,
0.026397598907351494,
-0.0019935204181820154,
-0.009632058441638947,
0.043209582567214966,
0.07192927598953247,
-0.005503369960933924,
-0.037915199995040894,
0.015818124637007713,
-0.007737227249890566,
-0.005131834652274847,
-0.018103068694472313,
-0.008768238127231598,
-0.03204493969678879,
-0.0011958800023421645,
0.06356973201036453,
-0.024224117398262024,
-0.029128385707736015,
0.011703369207680225,
0.04967430233955383,
-0.042800892144441605,
-0.023741120472550392,
-0.01756434142589569,
0.05873976647853851,
-0.08106905221939087,
0.0039661419577896595,
-0.04603325203061104,
0.02990861050784588,
0.022645089775323868,
0.015307263471186161,
-0.04863400012254715,
0.029202692210674286,
0.03498006984591484,
0.014982170425355434,
-0.03494291752576828,
0.00023728929227218032,
0.015743818134069443,
-0.006557601969689131,
-0.012845841236412525,
-0.015706663951277733,
0.026657674461603165,
-0.07248657941818237,
0.04655340313911438,
0.02561737410724163,
0.015028612688183784,
-0.016133930534124374,
-0.021679097786545753,
0.014749960973858833,
-0.07683354616165161,
-0.016579773277044296,
0.0056752050295472145,
0.005995654501020908,
-0.03432988375425339,
-0.002484643831849098,
0.00644149724394083,
-0.03284374251961708,
0.10246949642896652,
-0.04633048176765442,
-0.019839996472001076,
0.0013874530559405684,
-0.006042096763849258,
-0.007082396186888218,
-0.008294531144201756,
0.016728388145565987,
0.026156101375818253,
0.03488718718290329,
-0.03289947286248207,
0.026230407878756523,
-0.004314456135034561,
0.007922994904220104,
-0.006153557449579239,
-0.11450725048780441,
0.0010379774030297995,
0.047407932579517365,
0.0159017201513052,
0.022013479843735695,
-0.0010350748198106885,
-0.01859535276889801,
0.019914304837584496,
-0.07092612981796265,
0.02361108362674713,
-0.015344417653977871,
-0.003778051817789674,
-0.01030082255601883,
-0.03512868285179138,
0.013598200865089893,
-0.002421947196125984,
-0.03295520320534706,
-0.042800892144441605,
0.021400446072220802,
0.01409977301955223,
-0.04209497570991516,
-0.028738273307681084,
-0.02361108362674713,
-0.04863400012254715,
0.03758081793785095,
-0.030874602496623993,
0.0016394004924222827,
-0.0027029209304600954,
0.0009700560476630926,
0.0021525840274989605,
-0.08441287279129028,
0.0018658050103113055,
0.03037302941083908,
-0.029629958793520927,
-0.019013330340385437,
0.007820823229849339,
0.008666066452860832,
0.07088898122310638,
-0.018065914511680603,
-0.05989152938127518,
-0.02563595212996006,
-0.00002490811857569497,
-0.07263519614934921,
0.0030791007447987795,
0.04124044254422188,
0.03572314232587814,
-0.0188368521630764,
0.0023453179746866226,
-0.054467108100652695,
0.03908553719520569,
0.020490184426307678,
0.00460239639505744,
0.02582171931862831,
0.005187564995139837,
0.01277153380215168,
-0.014536327682435513,
-0.002524119568988681,
0.038453929126262665,
-0.05506156384944916,
-0.010430860333144665,
0.009697077795863152,
0.021549060940742493,
-0.050194449722766876,
0.04369257763028145,
-0.0018692881567403674,
0.022719398140907288,
-0.02775370329618454,
0.003348463913425803,
-0.016171084716916084,
0.007370335981249809,
0.006139624863862991,
-0.05030591040849686,
0.10254380851984024,
0.010495878756046295,
-0.01161977369338274,
0.03681917116045952,
-0.0018263293895870447,
0.017777975648641586,
0.021846288815140724,
-0.038026660680770874,
-0.02275655046105385,
-0.056807782500982285,
0.0513833649456501,
-0.0031092879362404346,
0.03046591393649578,
0.03652194142341614,
0.02340673841536045,
0.008113407529890537,
0.00638112286105752,
0.00701273325830698,
-0.00037530894041992724,
-0.023871157318353653,
0.02745647542178631,
0.030763141810894012,
-0.03650336712598801,
0.02585887350142002,
-0.02591460384428501,
0.01728568971157074,
-0.05825677141547203,
-0.04666486382484436,
0.02333243191242218,
-0.012734380550682545,
-0.033531080931425095,
0.01387685164809227,
-0.014982170425355434,
-0.024186963215470314,
0.005684493575245142,
-0.04941422492265701,
0.023741120472550392,
0.01031011063605547,
0.052275050431489944,
-0.026230407878756523,
-0.035890333354473114,
0.02530157007277012,
-0.015474454499781132,
0.015353705734014511,
-0.026731980964541435,
0.030651681125164032,
0.004486291669309139,
-0.01293872483074665,
0.026026064530014992,
-0.03927130624651909,
0.009460223838686943,
0.010932433418929577,
-0.0006478650611825287,
0.005833107978105545,
-0.022050634026527405,
-0.01741572842001915,
-0.0603373683989048,
-0.038528233766555786,
-0.06858545541763306,
-0.005949212703853846,
0.03271370381116867,
0.027419323101639748,
0.05179205164313316,
-0.02310951054096222,
-0.007035953924059868,
-0.06408987939357758,
-0.01500074751675129,
0.09132343530654907,
0.018418874591588974,
-0.0061489129438996315,
0.014266964048147202,
0.03743220493197441,
-0.049785759299993515,
-0.018140222877264023,
-0.010059324093163013,
-0.002958351746201515,
0.026026064530014992,
0.014935728162527084,
-0.029239846393465996,
-0.02574741281569004,
-0.03683774918317795,
0.005735579878091812,
0.03174770995974541,
-0.043395351618528366,
-0.0038082392420619726,
0.007811534684151411,
0.0045234449207782745,
0.022106364369392395,
0.035834603011608124,
-0.022310707718133926,
-0.0015116852009668946,
0.017276402562856674,
0.029146961867809296,
0.03986576199531555,
0.030893178656697273,
-0.061786357313394547,
-0.03709782287478447,
-0.021530484780669212,
-0.08233227580785751,
0.008234156295657158,
0.038379620760679245,
-0.04410126805305481,
-0.03221213072538376,
-0.033865462988615036,
0.019431307911872864,
0.019970035180449486,
-0.03282516449689865,
0.005391909275203943,
-0.024186963215470314,
0.03949422761797905,
0.04711070656776428,
-0.0007140448433347046,
-0.007718650624155998,
0.015771683305501938,
-0.006320748012512922,
0.018548911437392235,
0.012409286573529243,
-0.04410126805305481,
0.028812579810619354,
-0.01413692720234394,
-0.016171084716916084,
-0.03440418839454651,
0.0045814975164830685,
-0.016059624031186104,
0.028292430564761162,
0.01625468023121357,
-0.021976327523589134,
-0.009789961390197277,
-0.03460853546857834,
0.020304417237639427,
-0.059371378272771835,
0.03548164293169975,
0.015966739505529404,
-0.0001312710519414395,
-0.008197003044188023,
-0.012353556230664253,
-0.016811983659863472,
0.031599096953868866,
-0.033308159559965134,
-0.03321527689695358,
-0.007862620986998081,
-0.002779550151899457,
0.04439849779009819,
0.033512506633996964,
0.017220672219991684,
-0.02349962294101715,
-0.04562456160783768,
0.045253027230501175,
0.024484191089868546,
0.033976923674345016,
0.021474754437804222,
-0.029202692210674286,
0.05818246304988861,
-0.04948853328824043,
-0.0007378463633358479,
0.027400745078921318,
0.02099175751209259,
-0.0012667039409279823,
-0.018623217940330505,
0.0019970035646110773,
-0.00806232076138258,
-0.02045303024351597,
0.003093033330515027,
0.006650486029684544,
-0.013523893430829048,
0.0004911235300824046,
0.018158799037337303,
-0.0019308236660435796,
-0.011991309002041817,
-0.005136478692293167,
-0.013533181510865688,
-0.02812523953616619,
0.0555817149579525,
0.009743519127368927,
-0.027419323101639748,
0.027419323101639748,
0.006306815426796675,
0.0032602243591099977,
-0.02336958423256874,
0.004209962207823992,
-0.011081047356128693,
0.02533872239291668,
0.021883442997932434,
-0.04952568560838699,
0.01035655289888382,
0.0023220970761030912,
0.010440148413181305,
-0.03941991925239563,
-0.035648833960294724,
-0.018734678626060486,
0.011313256807625294,
-0.012994455173611641,
-0.03875115513801575,
-0.03535160422325134,
0.01513078436255455,
0.038231007754802704,
0.02127040922641754,
0.06917991489171982,
0.007249587215483189,
-0.004525767173618078,
0.0639784187078476,
0.017824416980147362,
0.02065737545490265,
0.007258875295519829,
0.012214230373501778,
-0.031004639342427254,
-0.02784658782184124,
-0.01513078436255455,
0.03696778416633606,
0.022477898746728897,
-0.0075468155555427074,
-0.004209962207823992,
0.02762366645038128,
-0.01172194629907608,
-0.003803594969213009,
0.021456176415085793,
-0.04465857148170471,
-0.021679097786545753,
0.017842993140220642,
-0.036131829023361206,
0.0035667410120368004,
-0.020081495866179466,
0.0753474086523056,
0.02097318135201931,
0.011536178179085255,
-0.000175463457708247,
0.059371378272771835,
-0.06732223927974701,
0.014592058025300503,
-0.022217825055122375,
-0.0038500369992107153,
0.023685390129685402,
0.03299235552549362,
-0.042763739824295044,
-0.015279398299753666,
-0.004881048109382391,
-0.03700494021177292,
0.01597602851688862,
-0.013143069110810757,
-0.016709810122847557,
0.011545466259121895,
0.0002657349978107959,
-0.018112357705831528,
0.06501872092485428,
0.036131829023361206,
-0.03720928356051445,
-0.019877150654792786,
0.019951457157731056,
-0.009697077795863152,
0.015149361453950405,
-0.01266936119645834,
0.042652279138565063,
0.0019911981653422117,
-0.009808538481593132,
0.040757447481155396,
0.02994576469063759,
0.02297947183251381,
0.022570783272385597,
0.010272957384586334,
0.040497373789548874,
0.004084568936377764,
0.026899171993136406,
-0.026286138221621513,
-0.03938276693224907,
0.0024358797818422318,
-0.01042157132178545,
-0.028886888176202774,
-0.0041077896021306515,
-0.004899624735116959,
-0.00529438117519021,
-0.017908012494444847,
-0.05398411303758621,
0.004760298877954483,
0.006840898189693689,
-0.0025357299018651247,
-0.01647760160267353,
0.013217376545071602,
-0.019152656197547913,
-0.02314666286110878,
0.0037896623834967613,
0.022254977375268936,
-0.03041018359363079,
-0.033623967319726944,
0.007885841652750969,
0.01386756356805563,
-0.015660222619771957,
-0.022347861900925636,
0.009172283113002777,
0.03239789977669716,
-0.02779085747897625,
-0.04796523600816727,
-0.008248088881373405,
-0.029499921947717667,
0.013291683979332447,
-0.050008680671453476,
0.05056598410010338,
-0.029499921947717667,
0.014684941619634628,
-0.04220643639564514,
-0.01396973617374897,
-0.010867414064705372,
0.014694230630993843,
-0.03518441319465637,
-0.02574741281569004,
0.013375279493629932,
-0.01885542832314968,
-0.03642905876040459,
0.018121644854545593,
-0.03525872156023979,
0.012641496025025845,
0.019468462094664574,
0.012548612430691719,
0.022385016083717346,
-0.006111759692430496,
-0.0025310858618468046,
-0.019375577569007874,
-0.013365990482270718,
0.026416176930069923,
0.02985288016498089,
0.022013479843735695,
0.047779470682144165,
-0.0008231833926402032,
0.022254977375268936,
-0.038193851709365845,
0.015297975391149521,
0.0015198125038295984,
0.008893631398677826,
0.012362845242023468,
0.0076722088269889355,
-0.03243505209684372,
-0.012102769687771797,
0.0009189699194394052,
0.018641795963048935,
0.001657977350987494,
0.038528233766555786,
0.007407489698380232,
-0.012307114899158478,
-0.024595651775598526,
-0.001533745089545846,
-0.005744867958128452,
0.03550022095441818,
-0.010282245464622974,
0.028849733993411064,
0.014480597339570522,
-0.02089887298643589,
-0.023982618004083633,
0.026936326175928116,
-0.012399998493492603,
-0.012102769687771797,
-0.03015010803937912,
-0.021679097786545753,
0.02576598897576332,
0.03516583889722824,
-0.01396973617374897,
-0.04142621159553528,
0.029648534953594208,
0.045030105859041214,
-0.006427564658224583,
-0.006729437503963709,
-0.015353705734014511,
-0.02819954603910446,
-0.0017938199453055859,
0.03237932175397873,
-0.0046209730207920074,
-0.009808538481593132,
-0.009293032810091972,
0.0037919844035059214,
0.0014884641859680414,
0.011601196601986885,
0.02351819910109043,
0.02565452829003334,
0.0005822658422403038,
-0.006144268903881311,
0.011991309002041817,
-0.010207938961684704,
-0.02810666337609291,
0.0636068806052208,
-0.0371164008975029,
0.036559097468853,
-0.0753474086523056,
0.008596403524279594,
-0.0369306318461895,
-0.043060969561338425,
0.008703219704329967,
-0.022496476769447327,
0.021716251969337463,
-0.01885542832314968,
-0.01150831300765276,
-0.04948853328824043,
-0.008986515924334526,
-0.01848389208316803,
-0.01605033501982689,
0.035927485674619675,
-0.018586065620183945,
0.015948163345456123,
-0.040831755846738815,
-0.021697675809264183,
-0.011972732841968536,
0.008057677187025547,
-0.012845841236412525,
0.010449436493217945,
0.008628912270069122,
-0.004453781992197037,
-0.031450483947992325,
0.020137226209044456,
-0.036038946360349655,
0.057216472923755646,
0.00759325735270977,
0.01660763844847679,
0.037302166223526,
-0.04428703710436821,
-0.0067433700896799564,
0.038528233766555786,
-0.00293280859477818,
-0.015920298174023628,
0.004590786062180996,
0.025022918358445168,
0.03743220493197441,
0.015316552482545376,
0.0058005983009934425,
0.042763739824295044,
-0.006093182601034641,
-0.05186636000871658,
0.0016405616188421845,
-0.028663966804742813,
0.027326438575983047,
-0.02063879929482937,
-0.05056598410010338,
-0.011536178179085255,
-0.029202692210674286,
-0.022515052929520607,
-0.05257227644324303,
-0.01741572842001915,
0.010951009579002857,
0.021771982312202454,
-0.03163624927401543,
0.04376688599586487,
0.012372133322060108,
-0.012093481607735157,
-0.019542768597602844,
-0.02305378019809723,
0.04398980736732483,
0.02054591476917267,
-0.027400745078921318,
0.06018875539302826,
0.07118620723485947,
-0.027345014736056328,
0.023778274655342102,
-0.019152656197547913,
-0.020137226209044456,
-0.043321043252944946,
0.016431158408522606,
0.01852104626595974,
-0.021549060940742493,
-0.0048949806950986385,
0.031357597559690475,
0.043172430247068405,
0.022477898746728897,
-0.014898574911057949,
0.012390710413455963,
0.012752956710755825,
-0.019357001408934593,
0.011861272156238556,
0.04670201614499092,
0.0010751308873295784,
0.020155802369117737,
0.04436134174466133,
-0.028515351936221123,
-0.0024405240546911955,
-0.05569317564368248,
-0.0038384264335036278,
-0.005600898060947657,
0.03230501338839531,
-0.03512868285179138,
-0.004444493912160397,
-0.02543160691857338,
-0.01829812489449978,
0.00919550471007824,
-0.024502769112586975,
0.03739505261182785,
0.018233105540275574,
-0.0001594990462763235,
0.005554456263780594,
0.02058306895196438,
0.00874501746147871,
-0.020397299900650978,
-0.004834606312215328,
0.002591460244730115,
0.021753406152129173,
0.004070636350661516,
0.07623909413814545,
0.012994455173611641,
-0.035816024988889694,
-0.0513833649456501,
0.015437301248311996,
-0.021530484780669212,
0.0012736702337861061,
0.012399998493492603,
0.020137226209044456,
-0.026992056518793106,
0.03737647458910942,
0.033865462988615036,
-0.024409884586930275,
0.031116100028157234,
-0.014592058025300503,
-0.021530484780669212,
0.005939924158155918,
-0.040571678429841995,
-0.0022547561675310135,
-0.05402126535773277,
-0.018623217940330505,
0.01514007244259119,
-0.008712507784366608,
0.009172283113002777,
0.030800295993685722,
0.0026959546376019716,
-0.016282545402646065,
-0.012418575584888458,
0.003861647332087159,
-0.009028313681483269,
0.010644492693245411,
-0.05795954167842865,
-0.04116613790392876,
-0.06408987939357758,
0.031246138736605644,
0.01271580345928669,
0.00885647814720869,
-0.010876703076064587,
0.026694828644394875,
0.04833677411079407,
-0.03665198013186455,
0.029518498107790947,
-0.049711454659700394,
-0.000704175909049809,
-0.0019679772667586803,
0.020285839214920998,
-0.016821270808577538,
0.015028612688183784,
0.010802395641803741,
0.03696778416633606,
0.0017520221881568432,
-0.0015534829581156373,
-0.008354905061423779,
-0.03226786106824875,
0.005563744343817234,
0.000862659071572125,
-0.011118200607597828,
0.020211532711982727,
0.006413632072508335,
0.004825317766517401,
-0.02545018307864666,
0.021716251969337463,
-0.026824865490198135,
0.018548911437392235,
-0.0042517599649727345,
0.024688536301255226,
0.018214529380202293,
0.021660521626472473,
-0.038045238703489304,
0.004465392790734768,
0.018000897020101547,
-0.011201796121895313,
-0.024539921432733536,
0.028905464336276054,
-0.05179205164313316,
0.0031046438962221146,
-0.013189511373639107,
-0.0025055427104234695,
-0.008039100095629692,
0.0022152806632220745,
0.0009613481815904379,
-0.04012583568692207,
0.059148456901311874,
-0.038045238703489304,
-0.047779470682144165,
-0.0015453556552529335,
-0.00936269573867321,
0.04465857148170471,
-0.015112207271158695,
0.04967430233955383,
0.03648478910326958,
-0.00759790139272809,
0.022236401215195656,
-0.011081047356128693,
0.02297947183251381,
-0.0034367037005722523,
0.02985288016498089,
-0.002461422933265567,
-0.014489885419607162,
0.028348160907626152,
-0.049860067665576935,
-0.020490184426307678,
0.029537074267864227,
0.0017705990467220545,
0.004223894793540239,
0.009762096218764782,
0.003028014674782753,
0.000006267847766139312,
0.01606891117990017,
-0.0036271156277507544,
-0.040348757058382034,
0.017369285225868225,
-0.012251384556293488,
-0.021586215123534203,
0.016811983659863472,
-0.019264116883277893,
-0.00319056143052876,
-0.033846888691186905,
-0.0015476776752620935,
0.054652877151966095,
0.0028306362219154835,
-0.04109182953834534,
0.031543366611003876,
-0.0032416475005447865,
-0.06687639653682709,
0.07174351066350937,
0.021864866837859154,
0.00025209266459569335,
-0.007412133738398552,
0.01905977353453636,
-0.04926561191678047,
0.003515654942020774,
-0.015688087791204453,
0.016979174688458443,
-0.009771384298801422,
-0.006608688272535801,
-0.0024382020346820354,
-0.07051744312047958,
-0.021771982312202454,
-0.005842396058142185
] |
As a framework for sequential decision-making, Reinforcement Learning (RL)
has been regarded as an essential component leading to Artificial General
Intelligence (AGI). However, RL is often criticized for having the same
training environment as the test one, which also hinders its application in the
real world. To mitigate this problem, Distributionally Robust RL (DRRL) is
proposed to improve the worst performance in a set of environments that may
contain the unknown test environment. Due to the nonlinearity of the robustness
goal, most of the previous work resort to the model-based approach, learning
with either an empirical distribution learned from the data or a simulator that
can be sampled infinitely, which limits their applications in simple dynamics
environments. In contrast, we attempt to design a DRRL algorithm that can be
trained along a single trajectory, i.e., no repeated sampling from a state.
Based on the standard Q-learning, we propose distributionally robust Q-learning
with the single trajectory (DRQ) and its average-reward variant named
differential DRQ. We provide asymptotic convergence guarantees and experiments
for both settings, demonstrating their superiority in the perturbed
environments against the non-robust ones. | [
0.008058593608438969,
-0.025044342502951622,
-0.026660706847906113,
-0.04715321958065033,
0.056888557970523834,
0.006256441120058298,
-0.03405510261654854,
0.013506852090358734,
-0.05187225714325905,
-0.004591308068484068,
0.013962035067379475,
0.0038365405052900314,
0.016052160412073135,
-0.031565532088279724,
-0.06651242077350616,
0.05060889571905136,
0.003961948212236166,
0.02536018379032612,
0.02065972425043583,
-0.02859291061758995,
0.0412822924554348,
0.018801836296916008,
-0.019303465262055397,
0.11043291538953781,
-0.013302484527230263,
0.028202753514051437,
0.02766396664083004,
-0.029670486226677895,
-0.0931917056441307,
0.0629081204533577,
0.03368352726101875,
0.016470184549689293,
-0.018105126917362213,
-0.026790758594870567,
-0.026307707652449608,
0.012262066826224327,
0.02907596156001091,
0.021681563928723335,
-0.050088685005903244,
0.0984681099653244,
-0.029670486226677895,
0.012104146182537079,
-0.05373014882206917,
-0.011890488676726818,
0.024319766089320183,
-0.02225750871002674,
-0.00944272056221962,
0.01836523227393627,
-0.001926398603245616,
0.037863776087760925,
-0.041579555720090866,
-0.05948960408568382,
0.057594556361436844,
-0.010301994159817696,
-0.04603848606348038,
0.014222139492630959,
0.06008412688970566,
-0.009085076861083508,
0.009856101125478745,
-0.021291406825184822,
0.005420390982180834,
-0.008137552998960018,
-0.06268516927957535,
0.017965786159038544,
0.010785045102238655,
-0.07773407548666,
0.09571843594312668,
-0.014695901423692703,
0.04310302436351776,
0.002470992272719741,
-0.0618305429816246,
-0.01149104256182909,
-0.051686469465494156,
-0.02132856473326683,
-0.01276369672268629,
0.016005713492631912,
-0.015847792848944664,
0.015782766044139862,
-0.0023827424738556147,
0.006149612367153168,
0.0053228517062962055,
0.021198512986302376,
-0.051463522017002106,
-0.02933606505393982,
0.024486975744366646,
-0.07134293764829636,
0.028258491307497025,
-0.05094331502914429,
0.03502120450139046,
-0.0131352748721838,
-0.059229496866464615,
0.03327479213476181,
0.03819819539785385,
-0.01751060225069523,
0.00010682861466193572,
0.02136572264134884,
-0.044663649052381516,
0.016312263906002045,
-0.03853261470794678,
-0.029633328318595886,
0.031231112778186798,
0.009308023378252983,
-0.021755879744887352,
0.00838372390717268,
-0.018170153722167015,
-0.024338344112038612,
-0.05413888394832611,
0.06090159714221954,
-0.012633644975721836,
0.1951526552438736,
0.00003697634383570403,
0.021402880549430847,
-0.012289934791624546,
0.08754372596740723,
-0.06391137838363647,
-0.011045149527490139,
-0.011351700872182846,
-0.09177970886230469,
0.02205314114689827,
-0.062016330659389496,
-0.02108703926205635,
0.01268009189516306,
0.009303378872573376,
-0.033609211444854736,
-0.006553702987730503,
0.024691343307495117,
0.013302484527230263,
0.012299224734306335,
0.04871384799480438,
0.03145406022667885,
-0.04477512463927269,
-0.02084551379084587,
-0.040204714983701706,
-0.04689311608672142,
0.016498053446412086,
-0.007152872160077095,
-0.0014979229308664799,
-0.026103340089321136,
-0.010729308240115643,
0.017687102779746056,
0.003943369258195162,
-0.07617344707250595,
0.0039758821949362755,
0.03777088224887848,
0.03351631760597229,
0.026623548939824104,
-0.0071389381773769855,
0.03405510261654854,
-0.04343744367361069,
0.02513723634183407,
-0.02112419717013836,
0.07342377305030823,
-0.01442650705575943,
0.03593157231807709,
0.023818135261535645,
0.01560626644641161,
-0.018597468733787537,
0.015262557193636894,
0.007798488717526197,
-0.10352157056331635,
0.09215129166841507,
0.031045323237776756,
-0.011184491217136383,
0.053581517189741135,
0.0181608647108078,
0.03990745544433594,
0.07654502242803574,
-0.035541415214538574,
-0.051686469465494156,
0.042359866201877594,
-0.05373014882206917,
-0.011927646584808826,
-0.011286674998700619,
0.06669820845127106,
0.019637886434793472,
0.04782206192612648,
0.022313246503472328,
-0.04388333484530449,
-0.006256441120058298,
-0.009586706757545471,
-0.043474599719047546,
-0.021495774388313293,
0.013841272331774235,
0.04529533162713051,
0.0660293698310852,
0.03290321305394173,
0.047487638890743256,
-0.026567811146378517,
0.014389350078999996,
-0.0005956856184639037,
0.010905807837843895,
0.024059660732746124,
0.021662984043359756,
-0.015689872205257416,
0.04507238417863846,
-0.025898970663547516,
-0.06662389636039734,
-0.0050534578040242195,
0.023632347583770752,
-0.0007112231105566025,
-0.013181721791625023,
-0.01872752048075199,
0.02651207521557808,
-0.0015432089567184448,
0.06699547171592712,
0.005290338769555092,
0.0567399263381958,
-0.013748377561569214,
0.0008308247197419405,
-0.06123602017760277,
-0.008235092274844646,
-0.028667226433753967,
-0.0399446114897728,
-0.012419987469911575,
-0.07030251622200012,
-0.029874853789806366,
0.008425526320934296,
-0.023762399330735207,
-0.004904826637357473,
-0.03442668169736862,
-0.041653867810964584,
0.013729799538850784,
0.01451940182596445,
-0.009707469493150711,
-0.05555087700486183,
0.005457548890262842,
0.018207311630249023,
0.013971325010061264,
-0.019823674112558365,
-0.010589966550469398,
-0.02205314114689827,
0.006367914378643036,
0.013302484527230263,
0.003657718887552619,
0.017742838710546494,
0.02324219048023224,
-0.007700949441641569,
0.03961019217967987,
0.02465418539941311,
0.0017510602483525872,
-0.002559242071583867,
0.004168638028204441,
-0.0001666294119786471,
-0.028890172019600868,
0.039758823812007904,
0.023372242227196693,
-0.02976338006556034,
0.02955901250243187,
0.0673670545220375,
0.017399130389094353,
-0.051463522017002106,
-0.05399025231599808,
0.003035326022654772,
-0.021978825330734253,
-0.014277876354753971,
0.030172115191817284,
0.02929890900850296,
-0.05272688716650009,
0.014853822067379951,
-0.10567671805620193,
0.04971710592508316,
0.02415255643427372,
0.020213831216096878,
0.018801836296916008,
-0.03230868652462959,
0.024486975744366646,
0.03726925328373909,
0.02957759238779545,
-0.019433518871665,
0.029633328318595886,
-0.01664668507874012,
-0.03394363075494766,
-0.03901566565036774,
-0.024189714342355728,
0.004470545332878828,
-0.031992848962545395,
0.03321905434131622,
-0.0007199319661594927,
0.034370943903923035,
0.03418515622615814,
0.031119639053940773,
-0.012234198860824108,
0.012206329964101315,
-0.004022329580038786,
0.000419186195358634,
-0.014918847940862179,
0.006818452384322882,
0.012828722596168518,
-0.0436975471675396,
0.03093385137617588,
0.01289374940097332,
-0.022944927215576172,
-0.00825367122888565,
0.001970523502677679,
0.07424124330282211,
0.026159076020121574,
-0.022647665813565254,
0.004749228712171316,
0.010236968286335468,
0.032048583030700684,
-0.0016976459883153439,
-0.024970026686787605,
0.02881585620343685,
0.045146699994802475,
0.0034417391289025545,
-0.008244382217526436,
0.009359115734696388,
-0.010283415205776691,
0.012568618170917034,
-0.01862533576786518,
-0.03639604523777962,
0.02628912776708603,
-0.004719038028270006,
-0.04169102758169174,
-0.015392609871923923,
0.018272336572408676,
0.041579555720090866,
0.02907596156001091,
-0.014965294860303402,
0.01771497167646885,
0.028890172019600868,
0.04930837079882622,
-0.08241595327854156,
-0.0019519445486366749,
0.04875100404024124,
-0.033869314938783646,
0.02950327657163143,
-0.009995442815124989,
-0.05703718960285187,
-0.005517930258065462,
-0.06361411511898041,
0.008304763585329056,
-0.05116626247763634,
-0.02019525319337845,
-0.019582148641347885,
-0.024041082710027695,
-0.032457318156957626,
-0.012707959860563278,
0.00045140893780626357,
-0.0741669237613678,
0.009902548044919968,
-0.009247642010450363,
-0.02346513792872429,
-0.02368808351457119,
-0.008002856746315956,
-0.03890419378876686,
-0.03920145705342293,
-0.0007872804417274892,
-0.015429767780005932,
0.04574122652411461,
0.0009678439819253981,
-0.001402706140652299,
-0.021402880549430847,
0.005843060556799173,
0.053581517189741135,
-0.06491463631391525,
0.018030811101198196,
0.0075383842922747135,
-0.013423247262835503,
-0.01277298666536808,
0.009242997504770756,
-0.043511759489774704,
-0.11035860329866409,
0.05187225714325905,
-0.05276404693722725,
0.015197531320154667,
-0.018123706802725792,
0.014621585607528687,
0.024245450273156166,
0.032736003398895264,
-0.03476110100746155,
0.034129418432712555,
0.054064568132162094,
-0.008690275251865387,
-0.03150979429483414,
0.014250008389353752,
-0.005782679188996553,
-0.011221649125218391,
-0.024784239009022713,
0.028314227238297462,
-0.00867634080350399,
-0.005824481602758169,
-0.036711886525154114,
-0.01969362236559391,
0.031565532088279724,
0.03777088224887848,
0.034073684364557266,
-0.0021435392554849386,
0.04733901098370552,
-0.021217091009020805,
0.028537172824144363,
-0.013107405975461006,
-0.02695796824991703,
-0.010134783573448658,
-0.019377781078219414,
-0.020492514595389366,
-0.011676832102239132,
-0.008095750585198402,
0.017687102779746056,
-0.03732498735189438,
0.010720019228756428,
0.0015281136147677898,
-0.009438076056540012,
0.00428243400529027,
0.018551019951701164,
0.012234198860824108,
0.01874609850347042,
-0.03767798840999603,
0.0246170274913311,
0.024449817836284637,
0.035801518708467484,
-0.03097100742161274,
-0.007682370487600565,
-0.009233707562088966,
0.026865074411034584,
0.005610824562609196,
-0.04388333484530449,
-0.03232726827263832,
-0.032234374433755875,
-0.025007184594869614,
-0.030766639858484268,
0.014956005848944187,
0.0426199734210968,
0.028314227238297462,
-0.028927329927682877,
0.0655834823846817,
-0.004895537160336971,
-0.0379752479493618,
0.02998632751405239,
-0.062276437878608704,
0.03115679696202278,
0.038792721927165985,
0.038346827030181885,
-0.032921791076660156,
-0.023985346779227257,
0.039535876363515854,
0.011026570573449135,
0.023799557238817215,
0.010589966550469398,
0.011853331699967384,
0.019619306549429893,
0.001941493945196271,
-0.001043320749886334,
0.004965208005160093,
-0.002854181919246912,
-0.02812843769788742,
-0.005332141183316708,
-0.012847301550209522,
-0.02183019556105137,
0.007580186706036329,
-0.02647491730749607,
0.044440701603889465,
-0.0271623358130455,
-0.010144073516130447,
0.05729729309678078,
-0.01137027982622385,
0.01512321550399065,
-0.027589650824666023,
0.017204051837325096,
0.011323832906782627,
0.03160269185900688,
0.029707644134759903,
0.02223893068730831,
-0.009558838792145252,
-0.02203456312417984,
0.013209589757025242,
-0.02863006852567196,
-0.01513250544667244,
-0.019173413515090942,
0.0044148084707558155,
-0.010747887194156647,
-0.0739811360836029,
-0.024449817836284637,
-0.004268499556928873,
-0.006902057211846113,
0.044440701603889465,
0.008040014654397964,
-0.08427383750677109,
-0.00949381198734045,
-0.020120937377214432,
0.01814228482544422,
0.020436778664588928,
0.03424089401960373,
-0.03472394496202469,
-0.011509621515870094,
0.007115714717656374,
0.05595961585640907,
0.01044133584946394,
-0.006702334154397249,
-0.03451957553625107,
0.004732972010970116,
-0.053618673235177994,
0.002998168347403407,
-0.0020634178072214127,
-0.022852033376693726,
-0.02203456312417984,
-0.00428243400529027,
-0.02928032912313938,
0.07721386104822159,
0.008523065596818924,
0.02719949372112751,
-0.03137974441051483,
0.0036762976087629795,
-0.03221579268574715,
-0.0349840484559536,
-0.004442676901817322,
0.013042380101978779,
0.03596872836351395,
-0.0033813577610999346,
0.0005277565796859562,
0.018272336572408676,
0.008156131953001022,
-0.032030005007982254,
-0.004047875292599201,
0.024802817031741142,
0.034593891352415085,
-0.0057222978211939335,
-0.025378761813044548,
0.055922456085681915,
0.02582465671002865,
0.02110561728477478,
0.022591929882764816,
-0.01604287140071392,
0.010998702608048916,
-0.005601535085588694,
0.028500016778707504,
0.05841202661395073,
-0.04317734017968178,
0.04057629406452179,
-0.009967573918402195,
-0.0271623358130455,
0.05696287378668785,
-0.005313562229275703,
-0.038309670984745026,
-0.02508150041103363,
0.0042452760972082615,
0.03838398680090904,
0.021179933100938797,
-0.009256931953132153,
0.030376484617590904,
0.014565848745405674,
0.06669820845127106,
-0.014175692573189735,
0.0300234854221344,
0.023836715146899223,
-0.00014964715228416026,
-0.012373540550470352,
-0.02599186636507511,
-0.012782275676727295,
0.04250849783420563,
0.00679522892460227,
-0.014584427699446678,
-0.03487257659435272,
0.010636414401233196,
-0.02411539852619171,
-0.009029339998960495,
-0.02952185459434986,
-0.0070599778555333614,
-0.01394345611333847,
-0.03559715300798416,
0.03868124634027481,
0.01648876443505287,
-0.006493321619927883,
0.0019101420184597373,
0.024691343307495117,
-0.016535211354494095,
0.008792459033429623,
0.04098502919077873,
-0.005824481602758169,
0.04774774610996246,
-0.013302484527230263,
-0.025973286479711533,
-0.00973533745855093,
-0.053395725786685944,
0.0613846480846405,
0.00932195782661438,
-0.004997721407562494,
-0.01207627821713686,
-0.038346827030181885,
-0.014983873814344406,
0.006558347959071398,
-0.0571858212351799,
-0.003562502097338438,
0.02344655804336071,
0.017900759354233742,
-0.04176534339785576,
-0.04250849783420563,
-0.018857572227716446,
0.029261751100420952,
-0.026567811146378517,
-0.04644722118973732,
0.033181894570589066,
0.027050862088799477,
0.04600133001804352,
-0.056888557970523834,
-0.019860832020640373,
0.05068320780992508,
-0.04811932146549225,
0.040204714983701706,
-0.07996354252099991,
0.010339152067899704,
0.016470184549689293,
-0.00039305962854996324,
-0.005137062631547451,
-0.03022785298526287,
-0.0003332588239572942,
0.04384617879986763,
0.013794825412333012,
0.006107809953391552,
-0.04893679544329643,
-0.04392049461603165,
0.015439056791365147,
0.04882531985640526,
-0.005276404321193695,
0.04180249944329262,
0.012494303286075592,
0.013655483722686768,
0.04265712946653366,
-0.00838372390717268,
-0.022629087790846825,
-0.018086548894643784,
-0.02158867008984089,
0.03048795647919178,
-0.0029377867467701435,
-0.011100886389613152,
-0.0008209546795114875,
0.005847705528140068,
-0.04027903079986572,
0.00200535892508924,
-0.027775438502430916,
-0.012838012538850307,
-0.001198338344693184,
-0.0213099867105484,
-0.019582148641347885,
-0.00398052716627717,
0.005787324160337448,
0.0008255993598140776,
0.03355347365140915,
0.007450134493410587,
-0.02229466661810875,
-0.024449817836284637,
0.04570406675338745,
0.004201151430606842,
0.0325687937438488,
-0.01080362405627966,
-0.034798260778188705,
0.003597337519749999,
0.01783573441207409,
0.021885931491851807,
-0.010952254757285118,
-0.04800784960389137,
0.04072492569684982,
0.008481263183057308,
0.0399446114897728,
-0.011964804492890835,
-0.007826357148587704,
0.004229019861668348,
-0.00859738141298294,
0.026382023468613625,
0.02227608859539032,
0.015884950757026672,
0.00497914245352149,
0.012503592297434807,
0.009809653274714947,
0.025230132043361664,
-0.015048900619149208,
0.07944332808256149,
0.010014020837843418,
0.03502120450139046,
0.060864441096782684,
-0.02653065323829651,
-0.025731761008501053,
-0.019061939790844917,
0.0007251572678796947,
0.014259297400712967,
-0.016015002503991127,
0.018699651584029198,
0.007621989119797945,
0.011240228079259396,
-0.029614748433232307,
-0.025490235537290573,
-0.02065972425043583,
0.03074806183576584,
-0.0034951535053551197,
-0.012280645780265331,
0.0019275597296655178,
0.01862533576786518,
0.00015066318155732006,
-0.02723665162920952,
0.010757177136838436,
-0.03589441254734993,
0.00479799835011363,
0.02411539852619171,
-0.013553299941122532,
0.029707644134759903,
-0.008783170022070408,
-0.01842096820473671,
-0.037585094571113586,
-0.010134783573448658,
-0.0049930764362216,
-0.03310757875442505,
-0.054027408361434937,
0.019099097698926926,
0.015662003308534622,
0.06194201484322548,
-0.001991424709558487,
0.016117187216877937,
0.014240718446671963,
-0.007087846286594868,
0.009883969090878963,
0.007617344614118338,
0.008787814527750015,
0.0013202623231336474,
0.0007739268476143479,
0.018337363377213478,
0.03275458142161369,
0.008824972435832024,
-0.022443298250436783,
-0.013525431044399738,
0.06019560247659683,
0.02179303765296936,
0.017306234687566757,
0.050980471074581146,
-0.057371608912944794,
-0.0017011294839903712,
-0.007366529665887356,
0.03745504096150398,
-0.03541136160492897,
-0.025490235537290573,
-0.00995828490704298,
0.037157777696847916,
0.002819346496835351,
-0.02275913953781128,
-0.0036902318242937326,
-0.006981017533689737,
0.008402302861213684,
0.010942965745925903,
0.007032109424471855,
0.00609852047637105,
-0.007064622826874256,
0.041876815259456635,
-0.011073017492890358,
0.03613593801856041,
-0.019786516204476357,
-0.0036600411403924227,
0.00434281537309289,
-0.02088267169892788,
-0.001068286132067442,
0.03336768597364426,
0.004407841246575117,
0.03173274174332619,
-0.0290388036519289,
0.011918357573449612,
0.015884950757026672,
-0.06432011723518372,
0.025657445192337036,
0.02136572264134884,
0.0023188774939626455,
0.006288954056799412,
0.027979807928204536,
-0.012735828757286072,
0.046335749328136444,
0.028054121881723404,
0.0099861528724432,
0.023725241422653198,
-0.016395870596170425,
-0.04551827907562256,
0.0064004273153841496,
0.036916252225637436,
0.016414448618888855,
0.048379428684711456,
0.012001962400972843,
0.02320503257215023,
-0.022814875468611717,
0.0006264569237828255,
0.005109194666147232,
0.043474599719047546,
-0.011230938136577606,
-0.01077575609087944,
0.03262452781200409,
-0.052875518798828125,
0.005963823292404413,
-0.02017667330801487,
-0.010348441079258919,
-0.014138534665107727,
-0.014008481986820698,
0.0174920242279768,
-0.01733410358428955,
0.006028849631547928,
-0.03595015034079552,
-0.02677217870950699,
0.023316506296396255,
-0.020734040066599846,
0.010274125263094902,
0.03652609512209892,
-0.000309454626403749,
-0.030822377651929855,
0.009530969895422459,
-0.04577838256955147,
-0.010469203814864159,
0.03347915783524513,
-0.020343882963061333,
-0.02485855296254158,
0.01995372772216797,
-0.03022785298526287,
0.03734356537461281,
0.023390822112560272,
-0.058709289878606796,
0.021644406020641327,
-0.014054929837584496,
0.023112138733267784,
-0.0074083320796489716,
-0.021179933100938797,
-0.019637886434793472,
-0.02768254466354847,
-0.03299610689282417,
0.020789777860045433,
0.05272688716650009,
-0.015476214699447155,
-0.008063238114118576,
-0.03565288707613945,
-0.03357205167412758,
-0.02693938836455345,
0.004642399959266186,
-0.006251796148717403,
0.005963823292404413,
0.026846494525671005,
-0.019786516204476357,
0.02322361059486866,
0.00043457181891426444,
0.027942650020122528,
0.07201177626848221,
-0.037882354110479355,
-0.03344200178980827,
-0.06450590491294861,
0.013181721791625023,
-0.014463664963841438,
0.013228168711066246,
0.0003573533322196454,
-0.001964717637747526,
0.0008197934948839247,
0.007779909763485193,
-0.0021087038330733776,
-0.015624845400452614,
-0.0399446114897728,
-0.02601044438779354,
0.006066007539629936,
0.02088267169892788,
0.002196953631937504,
-0.012661512941122055,
0.01769639179110527,
0.00146773224696517,
0.03650751709938049,
-0.007524450309574604,
-0.043065864592790604,
0.010747887194156647,
-0.021960247308015823,
0.0492340549826622,
-0.031324006617069244,
-0.00591737637296319,
-0.02463560737669468,
0.010831492021679878,
0.013553299941122532,
-0.009289444424211979,
0.05268973112106323,
0.008536999113857746,
-0.008513775654137135,
-0.05948960408568382,
-0.03548567742109299,
-0.07123146206140518,
0.04852806031703949,
0.035745780915021896,
-0.041616711765527725,
0.02298208512365818,
0.005229957401752472,
0.03175131976604462,
0.0459270142018795,
-0.009605285711586475,
0.02060398831963539,
-0.05436183139681816,
0.038829877972602844,
0.0014781828504055738,
0.024691343307495117,
-0.05610824376344681,
0.023502293974161148,
-0.017241209745407104,
-0.02653065323829651,
-0.05469625070691109,
-0.019767938181757927,
0.014017771929502487,
-0.013172432780265808,
0.00046737518277950585,
-0.010469203814864159,
0.03143548220396042,
0.026920810341835022,
0.02816559560596943,
-0.02580607682466507,
-0.002770576858893037,
0.020548250526189804,
0.017482735216617584,
-0.0006583893555216491,
-0.006367914378643036,
0.012949485331773758,
-0.033200476318597794,
0.0324387401342392,
0.00861595943570137,
0.021049881353974342,
0.0019531056750565767,
0.05503067001700401,
-0.008327987045049667,
-0.0021946313790977,
-0.023780977353453636,
0.05789181962609291,
-0.013794825412333012,
0.0231864545494318,
-0.01325603760778904,
-0.01719476282596588,
-0.024208292365074158,
0.018588177859783173,
-0.009405562654137611,
-0.001561787910759449,
0.00046940724132582545,
-0.0026382021605968475,
0.018030811101198196,
-0.0027380636893212795,
-0.027775438502430916,
-0.024914290755987167,
-0.004904826637357473,
0.003209503134712577,
0.01614505425095558,
-0.014407928101718426,
0.03048795647919178,
-0.006079941522330046,
0.017278367653489113,
0.014212850481271744,
0.032048583030700684,
-0.01723191887140274,
0.01100799161940813,
-0.029187435284256935,
-0.021514354273676872,
-0.019322045147418976,
0.011936936527490616,
-0.012419987469911575,
-0.02534160390496254,
0.035058364272117615,
-0.03912714123725891,
-0.02651207521557808,
0.03230868652462959,
0.000011303367500659078,
-0.02792407013475895,
-0.018578888848423958,
0.000010641131666488945,
-0.0015652714064344764,
-0.04406912624835968,
-0.010961544699966908,
0.022573349997401237,
-0.012271355837583542,
-0.002870438387617469,
-0.04648438096046448,
0.048899635672569275,
-0.047004587948322296,
0.02207172103226185,
-0.0728292465209961,
-0.01685105264186859,
-0.041393764317035675,
0.05202088877558708,
-0.03160269185900688,
0.009577417746186256,
-0.051017630845308304,
0.006637308280915022,
-0.0035369559191167355,
-0.005415746010839939,
-0.017018262296915054,
-0.027106599882245064,
0.005020944867283106,
0.0646916925907135,
0.0028913395944982767,
-0.011203070171177387,
-0.023818135261535645,
0.008100396022200584,
-0.003369746031239629,
-0.007287569344043732,
-0.002385064959526062,
0.00961457472294569,
-0.012039120309054852,
0.018913310021162033,
0.012252777814865112,
0.03548567742109299,
0.005373943597078323,
-0.00634004594758153,
-0.004756195470690727,
-0.002056450815871358,
-0.011788304895162582,
-0.022629087790846825,
-0.012856591492891312,
-0.02933606505393982,
0.03262452781200409,
-0.018458126112818718,
0.021458616480231285,
0.032494477927684784,
-0.021402880549430847,
0.007162161637097597,
-0.00973533745855093,
0.057148661464452744,
0.02580607682466507,
0.010422756895422935,
0.06342832744121552,
0.005044168327003717,
-0.02223893068730831,
0.022944927215576172,
-0.02160724811255932,
-0.010636414401233196,
0.0029215302783995867,
-0.012596487067639828,
-0.06175622716546059,
-0.007998212240636349,
-0.06090159714221954,
0.017965786159038544,
-0.0027728991117328405,
-0.03730640932917595,
0.052169520407915115,
-0.011927646584808826,
0.012810143642127514,
-0.0026962612755596638
] |
Enumerating the directed acyclic graphs (DAGs) of a Markov equivalence class
(MEC) is an important primitive in causal analysis. The central resource from
the perspective of computational complexity is the delay, that is, the time an
algorithm that lists all members of the class requires between two consecutive
outputs. Commonly used algorithms for this task utilize the rules proposed by
Meek (1995) or the transformational characterization by Chickering (1995), both
resulting in superlinear delay. In this paper, we present the first linear-time
delay algorithm. On the theoretical side, we show that our algorithm can be
generalized to enumerate DAGs represented by models that incorporate background
knowledge, such as MPDAGs; on the practical side, we provide an efficient
implementation and evaluate it in a series of experiments. Complementary to the
linear-time delay algorithm, we also provide intriguing insights into Markov
equivalence itself: All members of an MEC can be enumerated such that two
successive DAGs have structural Hamming distance at most three. | [
0.015122930519282818,
0.01376562099903822,
-0.04655282571911812,
-0.010097997263073921,
-0.00568914832547307,
0.030399881303310394,
-0.0015775113133713603,
0.05383031442761421,
0.009202750399708748,
0.0443195216357708,
0.04085405170917511,
-0.010685201734304428,
0.0222175195813179,
-0.007084962911903858,
-0.03492424637079239,
0.005823916289955378,
0.012485321611166,
-0.005876861046999693,
0.06045321747660637,
-0.022891361266374588,
-0.04636029899120331,
0.005231898743659258,
-0.006435187067836523,
0.07527773082256317,
0.046706847846508026,
0.042817819863557816,
-0.009544484317302704,
-0.011965501122176647,
-0.026472346857190132,
0.031689807772636414,
0.04971025511622429,
0.061107803136110306,
-0.0646117776632309,
0.036714740097522736,
-0.011407175101339817,
-0.035405561327934265,
0.024720359593629837,
-0.05340675637125969,
-0.008524095639586449,
0.01781829632818699,
-0.020850583910942078,
0.049094170331954956,
-0.05664119869470596,
-0.006752855144441128,
0.03161279484629631,
-0.007941704243421555,
-0.03257542848587036,
-0.02050403691828251,
-0.035598088055849075,
-0.005900926887989044,
0.020966099575161934,
-0.021947983652353287,
0.0008826121338643134,
0.020041974261403084,
-0.029899314045906067,
0.006993513088673353,
-0.0006581988418474793,
0.057603828608989716,
0.04470457509160042,
0.015440598130226135,
0.004882944747805595,
-0.0360601507127285,
-0.06823126971721649,
0.028147324919700623,
0.08563563972711563,
-0.06934792548418045,
-0.06634451448917389,
0.048170045018196106,
0.012918505817651749,
-0.03548257052898407,
-0.05737279728055,
-0.025952527299523354,
-0.04840107634663582,
0.004892571363598108,
0.037446338683366776,
-0.05375330522656441,
0.005467743147164583,
0.006589207798242569,
-0.0021201944909989834,
-0.0351167730987072,
0.01768352836370468,
0.024123528972268105,
-0.016220329329371452,
-0.030361376702785492,
0.008398953825235367,
-0.07504669576883316,
0.0378698967397213,
-0.03900580108165741,
0.03199784830212593,
-0.01675940304994583,
-0.012023258954286575,
-0.03147802874445915,
0.04185518994927406,
-0.04358792304992676,
-0.03906355798244476,
-0.0015702915843576193,
0.0480160266160965,
0.014554978348314762,
-0.040199462324380875,
0.012841494753956795,
-0.010348280891776085,
-0.06418821960687637,
-0.013072527013719082,
0.031092975288629532,
0.014141046442091465,
0.009481913410127163,
-0.03457769751548767,
0.019589537754654884,
0.014545351266860962,
0.14169925451278687,
-0.028724903240799904,
0.004851659294217825,
-0.018963826820254326,
-0.014516472816467285,
-0.04551318660378456,
-0.03754260390996933,
-0.064804308116436,
-0.09572400897741318,
0.04385745897889137,
-0.01837662234902382,
0.003951599355787039,
0.033018238842487335,
0.00119005236774683,
0.025760000571608543,
-0.06049172207713127,
0.05051886662840843,
0.0006888826610520482,
-0.0015065172920003533,
-0.021947983652353287,
-0.019281495362520218,
-0.0006353363278321922,
-0.02531719021499157,
-0.022641077637672424,
-0.01837662234902382,
0.05082690715789795,
0.04470457509160042,
0.05479294806718826,
0.012745232321321964,
0.003542481455951929,
0.0040743350982666016,
0.006911689415574074,
-0.04747695103287697,
0.016470612958073616,
-0.0647658035159111,
0.015325082466006279,
-0.04863210767507553,
-0.03159354254603386,
0.060183677822351456,
-0.0646117776632309,
0.030958207324147224,
-0.021312646567821503,
0.004743363242596388,
-0.009674440138041973,
0.04120060056447983,
0.015719762071967125,
0.005997190251946449,
-0.03234439715743065,
-0.027993304654955864,
-0.0157101359218359,
0.006935755256563425,
0.03471246734261513,
0.0016785875195637345,
-0.013890762813389301,
0.043356891721487045,
-0.013707863166928291,
0.029263976961374283,
-0.024258296936750412,
-0.06191641464829445,
-0.017779791727662086,
0.03217112272977829,
-0.007609596475958824,
0.010791091248393059,
-0.04716891050338745,
-0.0034389987122267485,
0.03011109121143818,
0.07081112265586853,
0.06322558969259262,
-0.0007496487814933062,
-0.006242660805583,
-0.0074507626704871655,
-0.025047654286026955,
-0.04551318660378456,
0.010771838948130608,
0.018492138013243675,
0.07862768322229385,
0.017654649913311005,
0.08455748856067657,
0.0249321386218071,
0.03167055547237396,
0.017722032964229584,
0.01670164428651333,
0.08394140750169754,
0.060915280133485794,
0.022814350202679634,
0.001825388753786683,
-0.04089255630970001,
-0.024181285873055458,
-0.0062956055626273155,
-0.04143163189291954,
0.011099133640527725,
-0.060722753405570984,
-0.013515336439013481,
0.02849387191236019,
0.025086158886551857,
0.0646117776632309,
-0.036714740097522736,
0.0323251448571682,
-0.006218594964593649,
0.036117907613515854,
-0.013544215820729733,
-0.01727922260761261,
0.01880018040537834,
0.0009728587465360761,
-0.07689494639635086,
0.023391928523778915,
-0.025201674550771713,
-0.010434918105602264,
0.02884041890501976,
0.01701931282877922,
-0.033037491142749786,
0.049248192459344864,
-0.03813943266868591,
0.017057817429304123,
-0.03290272131562233,
0.02495139092206955,
0.04863210767507553,
0.01824185438454151,
0.00906798243522644,
0.045397669076919556,
0.012417937628924847,
-0.00020230287918820977,
-0.0034173394087702036,
-0.0039660390466451645,
-0.009539671242237091,
-0.023430434986948967,
0.0011196599807590246,
-0.003703722031787038,
-0.024162033572793007,
0.038717012852430344,
-0.001937294495292008,
-0.019137101247906685,
-0.015873782336711884,
-0.038177937269210815,
0.022487055510282516,
0.026010284200310707,
0.030630912631750107,
0.0610307939350605,
0.0034823170863091946,
0.08032191544771194,
0.047823499888181686,
0.005486995913088322,
-0.0036604036577045918,
0.05198206380009651,
-0.046321794390678406,
-0.011031749658286572,
0.085019551217556,
-0.016865292564034462,
-0.017375485971570015,
-0.018636532127857208,
-0.024123528972268105,
0.015719762071967125,
0.007922451943159103,
-0.07554727047681808,
-0.016980808228254318,
-0.042971838265657425,
0.016066309064626694,
0.02183246612548828,
-0.0013633258640766144,
0.00920756347477436,
0.006897249724715948,
-0.045205142349004745,
-0.015912286937236786,
-0.016778655350208282,
0.01794343814253807,
0.02957201935350895,
-0.07531623542308807,
-0.022987624630331993,
0.022333035245537758,
0.029995575547218323,
-0.015941167250275612,
-0.022044245153665543,
0.013005142100155354,
-0.02071581594645977,
0.021389657631516457,
0.04470457509160042,
-0.009530045092105865,
0.0008531315834261477,
-0.036348938941955566,
-0.06865482777357101,
-0.011763348244130611,
0.0014860613737255335,
0.03550182655453682,
-0.0028542003128677607,
0.01953177899122238,
0.010415665805339813,
0.02383473888039589,
-0.03309524804353714,
0.0022116443142294884,
0.022621823474764824,
-0.048747625201940536,
-0.0907183289527893,
0.01822260208427906,
0.028570882976055145,
0.042432766407728195,
-0.06699910759925842,
0.012312048114836216,
0.02090834081172943,
0.07862768322229385,
0.01942588947713375,
-0.012427563779056072,
-0.008129416964948177,
-0.008206428028643131,
0.045397669076919556,
0.003150209318846464,
-0.014112167991697788,
-0.026895904913544655,
0.025394201278686523,
-0.03740783408284187,
-0.04917118325829506,
-0.029475755989551544,
0.03840896859765053,
-0.031709060072898865,
-0.03906355798244476,
0.018366996198892593,
-0.0004352896357886493,
0.00910167396068573,
-0.018944574519991875,
0.04331838712096214,
-0.0057035875506699085,
0.052059073001146317,
-0.01609518751502037,
-0.01553686149418354,
0.017308102920651436,
0.05194355919957161,
-0.032459910959005356,
-0.08948615938425064,
0.01340944692492485,
-0.015411719679832458,
0.034462183713912964,
-0.012870374135673046,
-0.013476831838488579,
0.008427833206951618,
-0.011792227625846863,
0.022698834538459778,
0.006642152555286884,
-0.022044245153665543,
-0.045397669076919556,
0.011878863908350468,
0.053522273898124695,
-0.013524962589144707,
0.0011557586258277297,
-0.008649238385260105,
0.07504669576883316,
-0.007648102007806301,
0.07901273667812347,
-0.00379035877995193,
-0.0013224141439422965,
0.005280029959976673,
0.002322346903383732,
0.014882272109389305,
0.05232861265540123,
-0.04713040590286255,
-0.02622206322848797,
0.024739611893892288,
-0.03656071797013283,
-0.029726039618253708,
-0.021543677896261215,
0.02479737065732479,
-0.0684623047709465,
0.03713829815387726,
-0.03342254087328911,
0.04043049365282059,
-0.011657459661364555,
-0.04639880731701851,
-0.011253153905272484,
0.009684066288173199,
0.04216323047876358,
0.03989142179489136,
0.028686398640275,
0.004435321316123009,
-0.06699910759925842,
0.05198206380009651,
0.0010179821401834488,
-0.0005276420270092785,
-0.02849387191236019,
-0.023776981979608536,
0.009530045092105865,
-0.018983079120516777,
-0.030977459624409676,
0.006247473880648613,
-0.0017339388141408563,
0.019926458597183228,
0.004194663837552071,
-0.041316114366054535,
0.020292257890105247,
0.024489328265190125,
0.011195396073162556,
0.015844903886318207,
0.04181668162345886,
0.02033076249063015,
0.001221939455717802,
-0.030053334310650826,
0.007445949595421553,
0.023699970915913582,
-0.016923049464821815,
0.023334171622991562,
0.039660390466451645,
-0.029649028554558754,
0.0536762960255146,
0.028378356248140335,
-0.002066046465188265,
-0.03600239381194115,
-0.0008374887984246016,
-0.02770451456308365,
0.006420747376978397,
-0.030573155730962753,
-0.06453476846218109,
0.005602511577308178,
0.013342062942683697,
-0.036907266825437546,
-0.037792887538671494,
-0.05194355919957161,
0.05082690715789795,
0.0081005385145545,
-0.0462062805891037,
0.062031928449869156,
0.0258755162358284,
-0.023988761007785797,
-0.0032464724499732256,
0.013428700156509876,
0.040931060910224915,
0.055177997797727585,
0.010704454965889454,
-0.03902505338191986,
0.007787683513015509,
-0.02329566515982151,
-0.050403349101543427,
0.020658057183027267,
-0.04266379773616791,
-0.013736741617321968,
-0.015498355962336063,
0.04489710181951523,
0.022795097902417183,
0.05009530857205391,
-0.015787145122885704,
-0.0342504046857357,
-0.055948104709386826,
0.005063438322395086,
0.004524365067481995,
-0.019416263327002525,
-0.07188926637172699,
-0.019358506426215172,
0.011070254258811474,
-0.06938643008470535,
0.0535992830991745,
-0.002902331994846463,
0.03973739966750145,
-0.027588998898863792,
0.010059491731226444,
-0.006762481294572353,
0.012716352939605713,
0.04532065987586975,
0.04135461896657944,
-0.02658786252140999,
0.04177817702293396,
0.04678385704755783,
0.01592191308736801,
0.019714679569005966,
0.008394140750169754,
0.037080537527799606,
0.02350744418799877,
-0.03958337754011154,
-0.049440719187259674,
-0.014458714984357357,
0.0157486405223608,
0.006569955497980118,
0.023006876930594444,
-0.0554090291261673,
0.015671629458665848,
0.05771934241056442,
0.0010498692281544209,
0.023892497643828392,
-0.030476892367005348,
0.03588687628507614,
-0.05063438042998314,
-0.008836951106786728,
0.0008098131511360407,
-0.014218057505786419,
-0.006069387309253216,
0.027126936241984367,
-0.03642595186829567,
0.04127760976552963,
-0.0203115101903677,
0.015103677287697792,
0.05810439586639404,
0.02015748992562294,
-0.04023796692490578,
-0.05329124256968498,
0.012206158600747585,
-0.04185518994927406,
0.007595157250761986,
-0.041701167821884155,
-0.00988621823489666,
0.004702451638877392,
0.005472556222230196,
-0.01590266078710556,
-0.02273733913898468,
0.0047578029334545135,
0.024835875257849693,
-0.011214649304747581,
-0.010752586647868156,
-0.005164514295756817,
-0.04601375386118889,
-0.0031044844072312117,
0.03565584495663643,
0.023988761007785797,
0.005814290139824152,
0.035790614783763885,
0.010887354612350464,
0.02239079214632511,
0.02011898346245289,
-0.06318708509206772,
-0.0010125673143193126,
0.0057035875506699085,
-0.037831392139196396,
0.05306021124124527,
0.016056682914495468,
0.03917907550930977,
0.006849118508398533,
-0.0379084013402462,
0.00985252670943737,
0.034866489470005035,
-0.0011774178128689528,
0.0021683259401470423,
-0.05506248399615288,
-0.012793364003300667,
-0.010097997263073921,
0.07866618782281876,
-0.02549046464264393,
-0.02106236293911934,
-0.06176239252090454,
0.0057035875506699085,
0.022872108966112137,
0.051674023270606995,
-0.02793554589152336,
-0.016037428751587868,
0.02660711668431759,
0.01182110607624054,
0.034308161586523056,
0.015257698483765125,
-0.03344179317355156,
0.021774709224700928,
-0.025009147822856903,
-0.0462832897901535,
-0.024547085165977478,
0.011715217493474483,
0.016682391986250877,
-0.027858536690473557,
0.015315456315875053,
-0.02776227332651615,
0.03388460353016853,
-0.0020191180519759655,
-0.0016966367838904262,
0.005756532307714224,
-0.028917429968714714,
0.03590612858533859,
0.001930074766278267,
0.05768083781003952,
-0.021389657631516457,
0.010213512927293777,
0.005679521709680557,
0.0106274439021945,
-0.00476020947098732,
-0.033037491142749786,
0.021312646567821503,
0.023603707551956177,
0.012032885104417801,
-0.029822302982211113,
-0.026684125885367393,
0.022275276482105255,
0.01564275100827217,
-0.020831331610679626,
0.0050826906226575375,
0.0026183559093624353,
-0.011464932933449745,
-0.009799581952393055,
-0.015305830165743828,
-0.011801853775978088,
-0.03958337754011154,
0.021928729489445686,
-0.0017375486204400659,
0.05309871584177017,
0.0013585127890110016,
-0.023160897195339203,
0.02699216827750206,
-0.012783736921846867,
-0.014535725116729736,
-0.014631988480687141,
0.012032885104417801,
0.0043366518802940845,
0.03654146566987038,
0.024258296936750412,
0.023160897195339203,
-0.06980998814105988,
0.004293333273380995,
-0.0013765620533376932,
0.0015739013906568289,
0.029514260590076447,
0.006690284237265587,
-0.02918696589767933,
-0.043895967304706573,
-0.04528215527534485,
-0.021370403468608856,
-0.013640479184687138,
0.02847461961209774,
-0.015132556669414043,
0.03269094228744507,
0.006271539721637964,
-0.027300210669636726,
-0.050903916358947754,
0.04046899825334549,
0.002281435066834092,
0.03925608471035957,
0.0040863677859306335,
0.01264896895736456,
0.018992705270648003,
0.000068775458203163,
-0.021909477189183235,
-0.004531584680080414,
-0.014824514277279377,
0.008365262299776077,
-0.008668490685522556,
-0.01367898378521204,
-0.013534589670598507,
0.012129148468375206,
-0.01583527773618698,
-0.0240272656083107,
-0.006420747376978397,
-0.019926458597183228,
0.046321794390678406,
-0.055177997797727585,
0.0222175195813179,
0.003612272208556533,
0.000055125656217569485,
-0.0029817488975822926,
-0.03804317116737366,
0.029283229261636734,
0.010887354612350464,
0.03276795148849487,
0.028994441032409668,
0.019416263327002525,
0.04416550323367119,
0.026356831192970276,
0.06022218242287636,
0.007161973509937525,
-0.009602242149412632,
-0.013881136663258076,
-0.056102123111486435,
-0.02808956801891327,
0.02275659330189228,
-0.022968372330069542,
0.014863019809126854,
0.0042163231410086155,
0.029167713597416878,
0.06927091628313065,
-0.009029476903378963,
0.020946847274899483,
-0.015960419550538063,
0.001353699597530067,
0.03740783408284187,
0.005920179653912783,
-0.06730714440345764,
-0.01637434959411621,
0.0033595815766602755,
-0.025182422250509262,
-0.006685471162199974,
-0.058527953922748566,
0.026684125885367393,
-0.02885967120528221,
0.015402093529701233,
-0.021928729489445686,
-0.037792887538671494,
-0.024855127558112144,
0.007787683513015509,
-0.006502571050077677,
0.002144260099157691,
-0.02421979233622551,
0.011359043419361115,
-0.022448550909757614,
-0.0009379634284414351,
0.0034173394087702036,
-0.01654762402176857,
0.02071581594645977,
0.00988621823489666,
0.02978379838168621,
-0.03249841555953026,
-0.026010284200310707,
0.028051061555743217,
-0.002786816330626607,
-0.0175583865493536,
-0.018896443769335747,
0.05163551867008209,
0.031112227588891983,
0.062185950577259064,
-0.05644867196679115,
0.02202499285340309,
-0.0007917638286016881,
0.01055043376982212,
-0.04031497985124588,
-0.010665949434041977,
0.005405172239989042,
0.0015017041005194187,
-0.00091931241331622,
-0.005708400625735521,
0.04277931526303291,
-0.027588998898863792,
0.0231223925948143,
-0.010694828815758228,
-0.009072795510292053,
-0.014805261977016926,
-0.008706996217370033,
-0.004784275311976671,
0.0702335461974144,
-0.047091901302337646,
-0.0034317788667976856,
0.044473543763160706,
-0.00047048580017872155,
0.004026203416287899,
0.040584515780210495,
0.011282033286988735,
-0.030438385903835297,
-0.018732795491814613,
0.0022140508517622948,
0.009794768877327442,
0.01700006052851677,
0.0007057287148199975,
0.011840359307825565,
0.03451994061470032,
-0.00423316890373826,
0.0021201944909989834,
0.005867234896868467,
0.03644520416855812,
0.0013031614944338799,
-0.0171059500426054,
0.005929805804044008,
0.014853393658995628,
0.014670494012534618,
0.015469477511942387,
-0.01689417101442814,
-0.011532316915690899,
-0.004856472369283438,
0.005048998631536961,
0.0015871375799179077,
0.004430508241057396,
-0.015979671850800514,
-0.03498200327157974,
0.03569434955716133,
-0.009823647327721119,
0.03128550201654434,
0.037042032927274704,
0.011590074747800827,
-0.004293333273380995,
-0.005746906157582998,
-0.007373752072453499,
0.008427833206951618,
0.016191450878977776,
-0.027126936241984367,
0.002743497956544161,
0.004218729678541422,
-0.017616143450140953,
-0.0006654185708612204,
0.034673962742090225,
-0.005876861046999693,
-0.007956143468618393,
0.015700507909059525,
-0.019676173105835915,
-0.012167654000222683,
0.009390464052557945,
0.014006278477609158,
0.01633584499359131,
0.012350553646683693,
-0.0011088303290307522,
-0.0065073841251432896,
0.04793901368975639,
-0.008495217189192772,
-0.002125007566064596,
0.018453633412718773,
0.008788819424808025,
0.013361316174268723,
0.004242795519530773,
-0.023757727816700935,
-0.04031497985124588,
0.031882334500551224,
-0.014660867862403393,
0.035790614783763885,
-0.013505710288882256,
-0.0010793497785925865,
-0.0005276420270092785,
-0.025413453578948975,
-0.016749776899814606,
0.00918831117451191,
-0.015305830165743828,
-0.01979168877005577,
-0.02350744418799877,
-0.05213608592748642,
-0.035617340356111526,
0.007494080811738968,
-0.02733871527016163,
0.0014547758037224412,
0.05529351532459259,
-0.0175583865493536,
0.022987624630331993,
0.003949192818254232,
-0.04027647525072098,
0.02512466534972191,
-0.012244664132595062,
-0.014497220516204834,
0.0009421749273315072,
-0.04547467827796936,
-0.0277430210262537,
-0.03554033115506172,
-0.0961090624332428,
0.03958337754011154,
-0.04158565029501915,
0.0157101359218359,
-0.07223581522703171,
0.052944693714380264,
-0.008620359003543854,
0.0203500147908926,
-0.01757763884961605,
0.0795518085360527,
0.03530929982662201,
-0.02937949262559414,
0.0030948580242693424,
-0.02776227332651615,
0.057064756751060486,
-0.022487055510282516,
0.005746906157582998,
0.02604879066348076,
0.031169986352324486,
0.021890224888920784,
0.019926458597183228,
-0.021408909931778908,
-0.0063870553858578205,
-0.0029456503689289093,
0.036310434341430664,
-0.006825052667409182,
-0.05286768451333046,
-0.0332685224711895,
-0.029071450233459473,
0.046167775988578796,
-0.006382242310792208,
-0.004659133031964302,
-0.005366666708141565,
-0.0011635799892246723,
0.0065073841251432896,
0.050403349101543427,
-0.014535725116729736,
0.017722032964229584,
-0.014487593434751034,
0.0161433182656765,
-0.013188042677938938,
-0.0017640209989622235,
0.00043468797230161726,
-0.0067961737513542175,
0.06137734279036522,
0.014179551973938942,
-0.05806589126586914,
-0.021331898868083954,
-0.05621764063835144,
-0.002914364915341139,
0.026568610221147537,
-0.006752855144441128,
0.008105351589620113,
0.00545811653137207,
-0.016923049464821815,
0.011898117139935493,
-0.021928729489445686,
0.0370035283267498,
-0.009462661109864712,
0.030476892367005348,
-0.035039760172367096,
-0.012966637499630451,
-0.027473483234643936,
0.0004900392377749085,
0.004967174958437681,
-0.012389058247208595,
-0.03290272131562233,
-0.013515336439013481,
-0.03184382617473602,
-0.014006278477609158,
0.043549418449401855,
-0.04362642765045166,
-0.03436591848731041,
-0.004933482967317104,
0.022987624630331993,
-0.02718469500541687,
-0.007566278334707022,
0.0034823170863091946,
-0.03378834202885628,
0.0013669357867911458,
-0.02624131552875042,
0.022294530645012856,
0.038543738424777985,
0.02733871527016163,
-0.032979730516672134,
0.030573155730962753,
0.020292257890105247,
0.046514321118593216,
0.0012766891159117222,
0.0013922047801315784,
-0.006579581648111343,
0.037080537527799606,
0.003005814738571644,
0.020985351875424385,
-0.01516143511980772,
-0.0332685224711895,
-0.040969569236040115,
0.02088908851146698,
-0.03157429024577141,
-0.035790614783763885,
0.010511928237974644,
0.029822302982211113,
0.018078206107020378,
0.027069179341197014,
0.015633124858140945,
-0.011224275454878807,
-0.047091901302337646,
0.029495008289813995,
0.02882116660475731,
-0.03981441259384155,
0.0203115101903677,
0.005207832902669907,
0.03423115238547325,
0.010223139077425003,
-0.0060838270001113415,
0.004175411071628332,
-0.03923683241009712,
-0.03821644186973572,
0.01127240713685751,
-0.03313375264406204,
0.029706787317991257,
0.01764502376317978,
0.020619552582502365,
0.024835875257849693,
-0.00999210774898529,
0.021582182496786118,
0.035405561327934265,
-0.0023055009078234434,
-0.029629776254296303,
0.039660390466451645,
-0.005154888145625591,
0.004644693806767464,
-0.015315456315875053,
0.000320676394039765,
0.007426696829497814,
0.0037205680273473263,
-0.0018470479408279061,
0.02183246612548828,
0.050557371228933334,
-0.014545351266860962,
-0.025837011635303497,
-0.01506517268717289,
-0.01790493354201317,
0.023545950651168823,
-0.01747174933552742,
-0.022833602502942085,
-0.05764233320951462,
-0.05252113938331604,
0.00535704055801034,
0.03738858178257942,
0.010319402441382408,
-0.008788819424808025,
0.0007249813643284142,
-0.018549896776676178,
0.04085405170917511,
-0.006897249724715948,
-0.015527235344052315,
-0.03771587461233139,
-0.017741285264492035,
-0.025779252871870995,
-0.0005887089064344764,
0.014814888127148151,
-0.016788281500339508,
0.043549418449401855,
0.050018295645713806,
0.042971838265657425,
-0.07158122956752777,
0.07566278427839279,
0.009645560756325722,
-0.005328161641955376,
0.01785680092871189,
-0.004076741635799408,
-0.019242990761995316,
-0.027954798191785812,
-0.03367282450199127,
-0.02566373720765114,
-0.012225411832332611,
-0.004302959889173508,
-0.0018626906676217914,
-0.027993304654955864,
0.0407000295817852,
-0.008687742985785007,
0.048131540417671204,
0.004185037687420845,
-0.03234439715743065,
0.04116209223866463,
0.007975396700203419,
-0.011128012090921402,
0.0006365396548062563,
-0.04532065987586975,
0.019502900540828705,
0.006401495076715946,
0.0388132743537426,
-0.029090702533721924,
0.012167654000222683,
-0.046706847846508026,
0.0444350391626358,
0.03442367911338806,
-0.02404651790857315,
0.0323636494576931,
-0.05194355919957161,
-0.05718027055263519,
-0.03351880609989166
] |
Domain-specific machine learning (ML) accelerators such as Google's TPU and
Apple's Neural Engine now dominate CPUs and GPUs for energy-efficient ML
processing. However, the evolution of electronic accelerators is facing
fundamental limits due to the limited computation density of monolithic
processing chips and the reliance on slow metallic interconnects. In this
paper, we present a vision of how optical computation and communication can be
integrated into 2.5D chiplet platforms to drive an entirely new class of
sustainable and scalable ML hardware accelerators. We describe how cross-layer
design and fabrication of optical devices, circuits, and architectures, and
hardware/software codesign can help design efficient photonics-based 2.5D
chiplet platforms to accelerate emerging ML workloads. | [
-0.0302547886967659,
-0.03364785015583038,
-0.025098666548728943,
0.001967850374057889,
0.04880019277334213,
0.015626372769474983,
0.00012162624625489116,
0.041714683175086975,
-0.009513875469565392,
0.033049073070287704,
0.056817129254341125,
0.028974074870347977,
0.06516671925783157,
-0.012807139195501804,
-0.10006201267242432,
-0.015335301868617535,
-0.022653667256236076,
-0.01882815919816494,
0.005272549577057362,
-0.018744995817542076,
0.025048768147826195,
-0.0781734511256218,
-0.047070395201444626,
-0.031435705721378326,
-0.0034616701304912567,
0.017613975331187248,
-0.020591219887137413,
0.013904894702136517,
-0.08715508133172989,
0.01233310904353857,
0.05432223156094551,
-0.017896730452775955,
-0.002931504277512431,
-0.0028961598873138428,
-0.06237243115901947,
-0.04889998584985733,
0.019643157720565796,
0.012466169893741608,
-0.010927650146186352,
0.012466169893741608,
0.015776067972183228,
-0.024766014888882637,
0.006403569597750902,
0.02262040227651596,
-0.012956833466887474,
-0.008158314041793346,
0.02503213658928871,
-0.010819538496434689,
0.01567627117037773,
-0.054654885083436966,
0.0219550970941782,
-0.04281243681907654,
0.0076759676449000835,
-0.01947683095932007,
-0.014387241564691067,
-0.009838211350142956,
0.0469040684401989,
0.051993660628795624,
0.07271794229745865,
0.013422547839581966,
0.016890455037355423,
-0.02802601270377636,
-0.013181374408304691,
-0.004411810077726841,
0.001074884901754558,
-0.016075454652309418,
0.02551448345184326,
0.042246926575899124,
0.027709992602467537,
-0.014021323062479496,
-0.0792379379272461,
-0.02496560662984848,
0.03235050290822983,
-0.013073261827230453,
0.013405915349721909,
0.026296216994524002,
0.04866712912917137,
0.031485605984926224,
-0.0035947312135249376,
-0.006170712877064943,
0.011983823031187057,
0.033414989709854126,
0.020225301384925842,
0.02887427806854248,
0.10851140320301056,
-0.006266350392252207,
-0.025481218472123146,
-0.0613744743168354,
-0.019576627761125565,
0.047070395201444626,
-0.059877537190914154,
0.03078703209757805,
-0.004740304779261351,
0.020724279806017876,
0.0068817585706710815,
0.01248280331492424,
0.008690559305250645,
-0.047436315566301346,
0.02177213691174984,
0.016740761697292328,
-0.021805401891469955,
0.04830121248960495,
0.017480913549661636,
0.05498753860592842,
0.028541624546051025,
-0.035460807383060455,
0.013497394509613514,
0.032866112887859344,
0.002080120611935854,
0.07438120245933533,
0.021605810150504112,
-0.031219482421875,
-0.023501932621002197,
-0.07065549492835999,
0.002093634568154812,
0.01726469025015831,
-0.06117488071322441,
0.007667650934308767,
-0.022703565657138824,
0.024400096386671066,
0.009580405429005623,
-0.024150606244802475,
0.024034177884459496,
-0.0136803537607193,
-0.03562713414430618,
0.023418769240379333,
-0.008337114937603474,
-0.09713467210531235,
0.0005010585300624371,
0.0277931559830904,
-0.021389586851000786,
0.017181526869535446,
0.004482498858124018,
-0.02075754478573799,
0.0016767788911238313,
0.004881682340055704,
0.031319279223680496,
0.06333712488412857,
-0.015293720178306103,
0.021605810150504112,
0.037190601229667664,
0.010303925722837448,
-0.0017495467327535152,
-0.02328570745885372,
0.00938081368803978,
-0.008129207417368889,
-0.014428823255002499,
0.05202692374587059,
-0.0055968863889575005,
0.001085280324332416,
-0.06776141375303268,
0.00914795696735382,
-0.022304382175207138,
0.03067060373723507,
0.03346488997340202,
0.03171846270561218,
0.01593407802283764,
0.005750738549977541,
-0.03368111327290535,
0.025348156690597534,
-0.016557801514863968,
-0.03037121705710888,
-0.018063057214021683,
0.06087549403309822,
0.05485447496175766,
-0.04234672337770462,
0.025946931913495064,
-0.00511453952640295,
-0.05877977982163429,
0.040749989449977875,
0.026928259059786797,
0.018695097416639328,
-0.013830047100782394,
-0.017514178529381752,
0.03659182786941528,
0.02032509632408619,
0.05232631415128708,
0.03336509317159653,
-0.047968558967113495,
-0.021938463672995567,
-0.023352239280939102,
-0.006752855610102415,
0.03466244041919708,
0.01954336278140545,
0.02657897211611271,
-0.033232033252716064,
-0.00932259950786829,
0.011218721978366375,
0.009073110297322273,
0.015618056990206242,
0.045739784836769104,
-0.017164893448352814,
0.017697138711810112,
-0.047669172286987305,
0.0015936156269162893,
-0.07677630335092545,
-0.03542754054069519,
-0.0020083922427147627,
0.013647088780999184,
0.052592433989048004,
-0.04570651799440384,
-0.029339993372559547,
-0.036358971148729324,
-0.005775687284767628,
-0.018262648954987526,
-0.026512442156672478,
0.007314207497984171,
-0.023435402661561966,
0.02561427839100361,
-0.00943902786821127,
0.021156730130314827,
0.02503213658928871,
-0.028841013088822365,
-0.04467529430985451,
-0.004831784404814243,
-0.011077344417572021,
-0.019693056121468544,
-0.03582672402262688,
-0.05748243257403374,
-0.030154991894960403,
-0.002025024965405464,
0.008004462346434593,
0.024250401183962822,
-0.008640660904347897,
0.016474638134241104,
-0.041049376130104065,
-0.040749989449977875,
-0.005680049769580364,
-0.011401680298149586,
-0.03506162390112877,
-0.007289258297532797,
0.05478794500231743,
-0.01094428263604641,
-0.04474182426929474,
0.022171320393681526,
-0.011077344417572021,
-0.017713770270347595,
0.0033764278050512075,
-0.008499283343553543,
0.020824076607823372,
-0.01383836381137371,
0.016915403306484222,
0.0035011726431548595,
-0.02659560553729534,
0.002808838617056608,
-0.016499588266015053,
-0.02123989164829254,
0.0263960137963295,
-0.0009860042482614517,
0.030870195478200912,
0.0322340726852417,
0.00018581787298899144,
-0.005775687284767628,
0.009838211350142956,
-0.046471621841192245,
0.02459968812763691,
0.021871933713555336,
-0.05565284192562103,
-0.02988887019455433,
-0.04770243540406227,
0.058979373425245285,
-0.023252442479133606,
0.013796782121062279,
0.04108264297246933,
-0.00609170738607645,
-0.005921222735196352,
0.040749989449977875,
0.042679376900196075,
0.03140244260430336,
0.008495124988257885,
-0.04264611005783081,
-0.050496723502874374,
-0.0341634601354599,
-0.022520607337355614,
0.015468363650143147,
-0.06383610516786575,
0.00425380002707243,
0.07058896124362946,
0.03519468382000923,
0.006129131186753511,
0.04816815257072449,
-0.03235050290822983,
0.057515699416399,
-0.026362748816609383,
-0.003702843328937888,
-0.054887741804122925,
-0.004885840695351362,
-0.010644895024597645,
-0.044608764350414276,
-0.011343466117978096,
-0.0263960137963295,
0.005833901464939117,
-0.011434946209192276,
-0.003544833278283477,
0.0633038580417633,
-0.03284948319196701,
0.005118697881698608,
-0.04464203119277954,
0.018129587173461914,
-0.013738567940890789,
-0.005779845640063286,
-0.010204129852354527,
0.00020219064026605338,
0.0037298714742064476,
-0.05618508905172348,
-0.00169860920868814,
0.0023493615444749594,
0.0693914070725441,
0.000553035584744066,
0.012416272424161434,
0.042679376900196075,
0.038221828639507294,
0.0033161344472318888,
0.002199667738750577,
-0.012474486604332924,
0.029938768595457077,
0.05092917010188103,
0.019742954522371292,
-0.013913210481405258,
-0.028292136266827583,
0.02983897179365158,
-0.042313460260629654,
-0.14623424410820007,
0.036126114428043365,
0.01341423112899065,
0.04697059839963913,
0.013347700238227844,
-0.00786308478564024,
-0.07424814254045486,
-0.032566726207733154,
-0.05718304589390755,
-0.05196039378643036,
-0.011027446016669273,
0.04590611159801483,
0.013164741918444633,
-0.018961219117045403,
-0.0016455927398055792,
0.06603161245584488,
-0.013189690187573433,
0.0038255092222243547,
0.014304078184068203,
-0.03170182928442955,
0.0025052926503121853,
0.03146897256374359,
-0.03602631762623787,
-0.04637182503938675,
-0.06207304447889328,
0.029855605214834213,
-0.023668259382247925,
-0.012948516756296158,
0.0009906821651384234,
0.03261662274599075,
-0.0022661983966827393,
-0.006777804344892502,
0.07085508108139038,
-0.02453315630555153,
-0.058380596339702606,
-0.0016133668832480907,
-0.01629999652504921,
-0.008133364841341972,
-0.010062752291560173,
-0.07830651104450226,
0.005650942213833332,
0.011875711381435394,
-0.09740079194307327,
0.0430452935397625,
-0.023601729422807693,
-0.021189995110034943,
-0.04929916933178902,
-0.005721630994230509,
0.01151810958981514,
0.029157033190131187,
-0.028890911489725113,
0.013306119479238987,
-0.036658357828855515,
-0.03572693094611168,
0.04723672196269035,
-0.012241629883646965,
-0.043644070625305176,
0.029689278453588486,
0.0009075189009308815,
0.011800864711403847,
0.037323664873838425,
-0.002796364016830921,
0.019626526162028313,
0.02356846258044243,
0.043943457305431366,
-0.08682242780923843,
-0.047536108642816544,
0.07178651541471481,
0.0005701879854314029,
-0.04770243540406227,
0.04444243758916855,
-0.020973769947886467,
0.06932488083839417,
0.006969079840928316,
0.04031753912568092,
-0.034728970378637314,
0.0012037879787385464,
-0.003671657294034958,
-0.01684887334704399,
-0.03506162390112877,
0.0031789150089025497,
0.04251305013895035,
0.03294927626848221,
0.005709156859666109,
-0.04437590762972832,
-0.04943223297595978,
-0.005455508828163147,
-0.03915325552225113,
0.02345203422009945,
-0.05339080095291138,
0.030121726915240288,
-0.026678768917918205,
0.015983974561095238,
-0.0038670909125357866,
-0.015543210320174694,
-0.02153928019106388,
-0.0042371670715510845,
-0.020907239988446236,
-0.005447192583233118,
0.01731458678841591,
-0.02315264753997326,
-0.03788917511701584,
0.029073869809508324,
0.014304078184068203,
0.05758222937583923,
0.008540865033864975,
0.01103576272726059,
-0.017397750169038773,
0.05798141285777092,
-0.034196726977825165,
0.00841611996293068,
-0.06070916727185249,
-0.03225070610642433,
0.03165192902088165,
0.01774703711271286,
0.05222651734948158,
-0.02761019766330719,
0.02701142244040966,
-0.0038213510997593403,
0.00785061065107584,
-0.011326833628118038,
0.0031768358312547207,
-0.06277161836624146,
0.003245445666834712,
-0.008453543297946453,
-0.05129509046673775,
-0.025996830314397812,
-0.11855752021074295,
-0.07724202424287796,
0.0330989696085453,
-0.054521821439266205,
-0.033049073070287704,
0.02170560695230961,
-0.016283363103866577,
-0.037024274468421936,
-0.01028729323297739,
0.024150606244802475,
-0.0614742711186409,
0.05648447573184967,
0.06716263294219971,
0.028308767825365067,
-0.03496182709932327,
-0.005305815022438765,
0.03356468677520752,
-0.06493385881185532,
-0.05102896690368652,
0.004549029283225536,
-0.017397750169038773,
0.008823620155453682,
0.02405080944299698,
0.011193772777915001,
0.06606487929821014,
0.024932339787483215,
-0.0322340726852417,
0.026429278776049614,
-0.057715293020009995,
-0.028674686327576637,
-0.036425501108169556,
0.027593564242124557,
-0.006806911434978247,
0.020641116425395012,
-0.02441672794520855,
-0.01960989274084568,
0.02315264753997326,
0.01641642488539219,
0.028225604444742203,
0.0673622265458107,
-0.04314509034156799,
-0.007122932001948357,
-0.004424284677952528,
0.008212370797991753,
-0.02333560585975647,
-0.029040604829788208,
0.014886220917105675,
-0.03758978471159935,
-0.016607699915766716,
-0.00339721841737628,
-0.009222803637385368,
-0.05036365985870361,
0.02170560695230961,
0.0006491930689662695,
0.02899070642888546,
-0.049598559737205505,
-0.004511605948209763,
-0.013830047100782394,
0.039253052324056625,
-0.027892952784895897,
0.051461413502693176,
0.018079688772559166,
-0.019925912842154503,
-0.004230930004268885,
-0.004077077843248844,
0.010761323384940624,
0.027410605922341347,
0.005800636485219002,
-0.046771008521318436,
0.02267030067741871,
0.022603768855333328,
0.006208136212080717,
-0.03381417319178581,
0.021140096709132195,
0.05834733322262764,
-0.0258637685328722,
0.06267181783914566,
0.03915325552225113,
-0.007542906329035759,
0.04903304949402809,
-0.04899978265166283,
-0.06912528723478317,
0.02172223851084709,
-0.03921978548169136,
0.0023493615444749594,
-0.03393060341477394,
-0.0029023971874266863,
0.010295609943568707,
0.027344074100255966,
-0.01173433382064104,
-0.03549407422542572,
-0.006923340260982513,
0.03506162390112877,
0.013222956098616123,
0.02995540015399456,
-0.03062070719897747,
-0.012998415157198906,
0.03466244041919708,
-0.035227950662374496,
-0.023435402661561966,
-0.029256829991936684,
-0.04570651799440384,
-0.023934381082654,
0.015784382820129395,
-0.03998488932847977,
-0.04397672414779663,
-0.022836627438664436,
0.055486515164375305,
-0.06260529160499573,
-0.018545404076576233,
-0.03339836001396179,
-0.03878733515739441,
-0.014462088234722614,
-0.01864519901573658,
-0.014470404013991356,
-0.029622746631503105,
-0.03393060341477394,
0.004185190424323082,
0.05052998661994934,
-0.02140621840953827,
0.03459591045975685,
-0.004869207739830017,
-0.031801626086235046,
-0.04094958305358887,
0.018744995817542076,
-0.02641264535486698,
0.03579346090555191,
-0.006478416733443737,
-0.03439631685614586,
0.0003599409246817231,
-0.0005535553209483624,
-0.004665458109229803,
-0.02009223960340023,
0.06011039391160011,
-0.009405762888491154,
0.010985864326357841,
0.0000027734618015529122,
-0.0175640769302845,
-0.013913210481405258,
-0.009846528060734272,
-0.025065401569008827,
0.0017485072603449225,
0.0370575413107872,
-0.06074243411421776,
-0.004411810077726841,
-0.01839570887386799,
0.02880774810910225,
0.048866722732782364,
0.01744764856994152,
0.011859078891575336,
-0.017830198630690575,
-0.006382778752595186,
0.0370575413107872,
0.03230060264468193,
-0.010794589295983315,
-0.004457549657672644,
0.015202241018414497,
0.03655856102705002,
0.016166934743523598,
0.01190897636115551,
0.004910789430141449,
-0.014312393963336945,
0.003129017073661089,
0.02790958434343338,
0.025813870131969452,
0.027992747724056244,
-0.016108719632029533,
0.009214487858116627,
0.011859078891575336,
-0.012948516756296158,
-0.022603768855333328,
0.020058974623680115,
-0.018379077315330505,
-0.008732140995562077,
0.018146220594644547,
0.008490967564284801,
0.030404482036828995,
0.007102141156792641,
0.01503591425716877,
-0.020258566364645958,
-0.021622443571686745,
-0.020774178206920624,
-0.010545099154114723,
-0.03216754272580147,
0.015651322901248932,
-0.007555380929261446,
-0.02020866796374321,
-0.010869435966014862,
0.014794740825891495,
-0.0322340726852417,
-0.014353975653648376,
-0.038055501878261566,
-0.03559386730194092,
0.003087435383349657,
-0.017347851768136024,
0.017297955229878426,
0.031252745538949966,
-0.03176835924386978,
0.0035011726431548595,
0.020358361303806305,
0.0604097805917263,
0.07298406213521957,
-0.010445303283631802,
0.015900813043117523,
0.03572693094611168,
-0.003956491127610207,
-0.042313460260629654,
0.03818856179714203,
0.009730099700391293,
0.003035458503291011,
0.027992747724056244,
0.021755505353212357,
0.05309141427278519,
0.00887351855635643,
0.00019959178462158889,
-0.007705074734985828,
-0.018861424177885056,
0.0010421393672004342,
0.0399516224861145,
-0.022753464058041573,
0.009397446177899837,
-0.011626221239566803,
0.004018863663077354,
0.04600590839982033,
0.005102064926177263,
0.01588417962193489,
-0.0399516224861145,
0.024034177884459496,
0.014262496493756771,
0.014478720724582672,
0.03745672479271889,
-0.038221828639507294,
-0.033348459750413895,
-0.03682468459010124,
0.003222575644031167,
-0.06885916739702225,
0.0019491384737193584,
-0.006237243302166462,
0.034862030297517776,
-0.04783549904823303,
-0.00527670793235302,
-0.019144179299473763,
-0.00023480622621718794,
-0.010603313334286213,
-0.005351554602384567,
-0.020258566364645958,
0.0743146762251854,
0.003914909902960062,
0.003002193057909608,
0.05378998443484306,
-0.03078703209757805,
0.0110024968162179,
0.0033847440499812365,
0.01936040259897709,
-0.007210253272205591,
-0.022836627438664436,
0.06207304447889328,
0.01148484367877245,
0.013630455359816551,
-0.043344683945178986,
0.013755200430750847,
-0.008366222493350506,
0.051694273948669434,
0.03845468536019325,
0.04307856038212776,
0.07358283549547195,
-0.01136841531842947,
0.01173433382064104,
0.02430029958486557,
-0.02646254375576973,
0.03915325552225113,
0.017431015148758888,
0.03176835924386978,
0.02448325976729393,
-0.030836930498480797,
-0.03404703363776207,
0.012973465956747532,
-0.007613595109432936,
-0.012299844063818455,
-0.008511758409440517,
-0.0034263257402926683,
0.0012557649752125144,
-0.007089666556566954,
0.0066322688944637775,
0.008091784082353115,
0.053989578038454056,
-0.01609208807349205,
0.014711577445268631,
0.04204733669757843,
0.03250019624829292,
-0.011551374569535255,
-0.002609246876090765,
-0.021805401891469955,
0.0048151519149541855,
-0.00775913055986166,
0.004002231173217297,
-0.0068360185250639915,
0.022088157013058662,
-0.02122326008975506,
-0.03067060373723507,
0.020774178206920624,
0.023801321163773537,
-0.03722386807203293,
0.0019189919112250209,
-0.019510097801685333,
-0.019343771040439606,
-0.012399639934301376,
-0.0033244506921619177,
0.003264157334342599,
0.010295609943568707,
-0.017297955229878426,
0.01804642379283905,
0.04121570289134979,
0.012491119094192982,
0.027709992602467537,
0.04257958009839058,
-0.008008620701730251,
-0.024616319686174393,
0.0007094864267855883,
-0.011335150338709354,
0.03128601238131523,
0.03689121454954147,
-0.006686324719339609,
0.026429278776049614,
-0.0005280866171233356,
-0.029090503230690956,
0.015052546747028828,
-0.017530811950564384,
0.013397598639130592,
-0.013256221078336239,
0.05744916945695877,
-0.03652529790997505,
0.001931466395035386,
-0.023618360981345177,
0.03326529636979103,
-0.03439631685614586,
-0.020724279806017876,
0.057715293020009995,
-0.026362748816609383,
-0.014195965602993965,
0.0273607075214386,
0.015593107789754868,
0.017098363488912582,
0.01125198695808649,
-0.0011039921082556248,
0.06606487929821014,
0.008083467371761799,
-0.004415968433022499,
-0.010819538496434689,
-0.04138202965259552,
-0.048866722732782364,
0.06712937355041504,
0.006773645989596844,
0.010561731643974781,
0.061806924641132355,
-0.03429652005434036,
-0.04643835499882698,
0.011825812980532646,
-0.0594450868666172,
0.013181374408304691,
-0.0031019889283925295,
0.04846753925085068,
0.007838135585188866,
0.0006886956398375332,
0.024516524747014046,
0.013755200430750847,
-0.0027568615041673183,
-0.05914570018649101,
0.042313460260629654,
-0.00041399701149202883,
-0.014279128983616829,
0.028707951307296753,
-0.05039692670106888,
0.03572693094611168,
0.010254028253257275,
-0.02123989164829254,
-0.01744764856994152,
0.001173641299828887,
0.005975279025733471,
0.022836627438664436,
-0.007185304071754217,
0.0008191579254344106,
0.00992137473076582,
-0.0010010775877162814,
0.016108719632029533,
-0.04108264297246933,
0.01882815919816494,
-0.018428975716233253,
0.015850914642214775,
-0.04324488714337349,
0.038887131959199905,
-0.03283284977078438,
0.01131020113825798,
-0.009422395378351212,
-0.01164285372942686,
0.0004002230998594314,
0.04001815244555473,
0.012033721432089806,
0.008387013338506222,
0.004494973458349705,
-0.010162548162043095,
0.004336962942034006,
0.009605354629456997,
0.02850835956633091,
0.04158162325620651,
-0.04204733669757843,
0.0063910954631865025,
0.022703565657138824,
-0.012042038142681122,
-0.021256525069475174,
-0.043876927345991135,
-0.0022578821517527103,
-0.008112573996186256,
-0.006079233251512051,
-0.023185912519693375,
0.00629961583763361,
-0.023834586143493652,
0.01103576272726059,
0.018678463995456696,
-0.022221218794584274,
-0.00021752386237494648,
-0.022470708936452866,
0.024400096386671066,
-0.0008337115286849439,
0.0331488698720932,
-0.014154383912682533,
-0.022271117195487022,
-0.012383007444441319,
-0.023684890940785408,
-0.0008815304026938975,
0.01250775158405304,
0.0003383704461157322,
0.018562035635113716,
0.023002954199910164,
0.013256221078336239,
0.034862030297517776,
-0.008112573996186256,
-0.020857341587543488,
-0.004590610973536968,
0.014744843356311321,
-0.005039692390710115,
-0.00711461529135704,
0.05781508609652519,
0.047735702246427536,
0.027477135881781578,
0.0389869287610054,
0.0023805478122085333,
-0.020591219887137413,
-0.01786346547305584,
0.062172841280698776,
-0.04114917293190956,
0.014420506544411182,
-0.03595978766679764,
-0.027144482359290123,
-0.005156121216714382,
-0.0014709498500451446,
0.0026321166660636663,
-0.0009173945290967822,
-0.00775913055986166,
0.014819690026342869,
-0.01179254800081253,
-0.011551374569535255,
-0.006154079921543598,
-0.0017859307117760181,
-0.035028357058763504,
0.06277161836624146,
-0.0038109556771814823,
-0.022337647154927254,
-0.006445151288062334,
-0.011235354468226433,
-0.03556060418486595,
0.040084682404994965,
0.014711577445268631,
-0.0119422422721982,
0.0331488698720932,
-0.05232631415128708,
0.05069631338119507,
0.0014241705648601055,
-0.026262952014803886,
-0.009480609558522701,
-0.014902853406965733,
-0.02057458646595478,
0.025581013411283493,
0.02646254375576973,
0.01937703602015972,
0.035227950662374496,
-0.05009753629565239,
0.013547291979193687,
0.002806759439408779,
0.003386822994798422,
0.009721782989799976,
-0.04494141787290573,
-0.0312693789601326,
0.0555863119661808,
0.023485299199819565,
0.023734789341688156,
-0.03173509240150452,
0.013231271877884865,
0.05319121107459068,
0.008557497523725033,
0.08668936789035797,
-0.021921830251812935,
0.039253052324056625,
0.07285100221633911,
-0.051328353583812714,
-0.004723672289401293,
-0.01443713903427124,
-0.004944054875522852,
-0.012915251776576042,
0.0025614278856664896,
0.024084076285362244,
0.003871249035000801,
0.007260151207447052,
-0.02406744286417961,
-0.0013067024992778897,
0.00024793040938675404,
-0.00887351855635643,
-0.022221218794584274,
-0.021323055028915405,
0.006424360442906618,
0.0008763326914049685,
0.01190897636115551,
-0.014395557343959808,
-0.011726017110049725,
0.03170182928442955,
0.02958948165178299,
-0.007168671581894159,
0.013863313011825085,
-0.00032147791353054345,
0.011060710996389389,
-0.009156272746622562,
0.07092161476612091,
-0.038521215319633484,
-0.015684587880969048,
0.022653667256236076,
-0.006133289076387882,
-0.01190897636115551,
0.002702805446460843,
-0.025996830314397812,
-0.05112876370549202,
0.03818856179714203,
0.014678312465548515,
-0.01515234261751175,
0.021871933713555336,
-0.02724427916109562,
-0.04607243835926056,
-0.04966508969664574,
-0.024616319686174393,
-0.015742802992463112,
-0.012865353375673294,
-0.04687080532312393,
0.007031452376395464,
-0.018428975716233253,
0.03135254234075546,
0.07524610310792923,
0.021822035312652588,
0.00374442501924932,
-0.00624140165746212,
0.020291831344366074,
-0.01669086329638958,
0.005630151834338903,
0.026562340557575226,
0.02731080912053585,
0.008607395924627781,
0.015659639611840248,
0.010087701492011547,
0.008486809208989143,
-0.007567855063825846,
-0.006611478049308062,
-0.044409170746803284,
0.007372421678155661,
0.013946476392447948,
-0.028907543048262596,
-0.0219550970941782,
-0.02958948165178299
] |
So-called implicit behavioral cloning with energy-based models has shown
promising results in robotic manipulation tasks. We tested if the method's
advantages carry on to controlling the steering of a real self-driving car with
an end-to-end driving model. We performed an extensive comparison of the
implicit behavioral cloning approach with explicit baseline approaches, all
sharing the same neural network backbone architecture. Baseline explicit models
were trained with regression (MAE) loss, classification loss (softmax and
cross-entropy on a discretization), or as mixture density networks (MDN). While
models using the energy-based formulation performed comparably to baseline
approaches in terms of safety driver interventions, they had a higher whiteness
measure, indicating higher jerk. To alleviate this, we show two methods that
can be used to improve the smoothness of steering. We confirmed that
energy-based models handle multimodalities slightly better than simple
regression, but this did not translate to significantly better driving ability.
We argue that the steering-only road-following task has too few multimodalities
to benefit from energy-based models. This shows that applying implicit
behavioral cloning to real-world tasks can be challenging, and further
investigation is needed to bring out the theoretical advantages of energy-based
models. | [
0.0037771635688841343,
-0.026666920632123947,
-0.027817869558930397,
-0.05325581133365631,
-0.02816900797188282,
0.02007334493100643,
-0.04061486944556236,
0.021946076303720474,
-0.0859115719795227,
-0.022940965369343758,
0.026901012286543846,
0.008471185341477394,
-0.03446996957063675,
0.014172288589179516,
-0.049237240105867386,
0.047949738800525665,
0.0337676964700222,
0.021575430408120155,
-0.03271428495645523,
-0.03819592669606209,
0.03616713359951973,
-0.046389129012823105,
-0.030451400205492973,
0.0007223916472867131,
0.001073528896085918,
0.026296276599168777,
0.01272872369736433,
0.010885253548622131,
-0.053099751472473145,
0.01617181859910488,
-0.030802536755800247,
-0.0028895665891468525,
-0.03546486049890518,
0.009568489156663418,
-0.0372205451130867,
-0.0017605629982426763,
0.033436067402362823,
0.012533647939562798,
-0.00006359027611324564,
0.09449492394924164,
0.02775934711098671,
0.0039185937494039536,
-0.0032236347906291485,
-0.019097963348031044,
-0.01593772880733013,
0.004664760548621416,
-0.04475048556923866,
-0.0019141854718327522,
0.013733366504311562,
-0.055635739117860794,
0.009300258941948414,
-0.02748624049127102,
0.056416045874357224,
-0.024150436744093895,
-0.04541374742984772,
0.07190509885549545,
0.024872219190001488,
0.03351409733295441,
0.03152431920170784,
0.01993679068982601,
0.00211901543661952,
-0.001505744643509388,
-0.05992741882801056,
-0.01467948593199253,
-0.022492289543151855,
-0.03663531690835953,
0.07299752533435822,
-0.0022055807057768106,
0.04030274972319603,
-0.03731808438897133,
-0.06917402893304825,
0.04209744930267334,
-0.05372399464249611,
0.01613280363380909,
0.013684597797691822,
-0.03417735546827316,
-0.022667858749628067,
0.03909327834844589,
-0.012387340888381004,
0.027642302215099335,
0.015508560463786125,
0.0143576106056571,
-0.03796183317899704,
-0.005008582025766373,
0.059537265449762344,
-0.0140162268653512,
0.053606949746608734,
-0.049978531897068024,
0.029515033587813377,
-0.008290739730000496,
0.010300025343894958,
-0.0018105512717738748,
-0.001626448123715818,
0.012094725854694843,
-0.0018154281424358487,
0.02816900797188282,
0.012767739593982697,
-0.0010052522411569953,
-0.050797849893569946,
-0.0022384996991604567,
0.030353860929608345,
0.013167645782232285,
0.021536415442824364,
0.05629900097846985,
0.03226560726761818,
-0.050251636654138565,
-0.051305048167705536,
0.03599156439304352,
0.057235367596149445,
0.15223748981952667,
0.007227574475109577,
-0.006588699761778116,
-0.025008773431181908,
0.04408722743391991,
-0.05665013566613197,
0.0037162022199481726,
-0.03404080122709274,
-0.07202214747667313,
0.10815025866031647,
-0.014991608448326588,
0.014347856864333153,
0.07432404160499573,
-0.0102219944819808,
-0.005564549472182989,
-0.0024250412825495005,
0.03567944094538689,
0.006027855444699526,
-0.02610119991004467,
0.049939513206481934,
-0.008724784478545189,
0.022277705371379852,
0.031641364097595215,
0.0037722866982221603,
-0.01307010743767023,
0.023877330124378204,
0.009656273759901524,
0.008295617066323757,
-0.024657635018229485,
0.010982791893184185,
-0.001649613375775516,
-0.02830556035041809,
-0.01874682493507862,
-0.04006865620613098,
0.02535990998148918,
-0.01867854967713356,
0.03958096727728844,
-0.022121643647551537,
0.09621159732341766,
-0.020346451550722122,
-0.014162533916532993,
-0.03335803374648094,
0.044360335916280746,
-0.0069300830364227295,
0.014025980606675148,
0.05036868155002594,
-0.0164351724088192,
-0.06062969192862511,
0.025496462360024452,
-0.009617257863283157,
-0.09496311098337173,
0.043501999229192734,
-0.016093788668513298,
0.003589402651414275,
0.017478831112384796,
0.06176113337278366,
0.05091489478945732,
0.01799578219652176,
0.03755217418074608,
-0.07455813884735107,
0.0505637601017952,
-0.02664741314947605,
-0.026861997321248055,
0.007890833541750908,
0.021672969684004784,
-0.02959306351840496,
0.0013448067475110292,
0.045803897082805634,
0.025515971705317497,
-0.016464434564113617,
-0.011577773839235306,
-0.05134406313300133,
-0.02959306351840496,
0.019566146656870842,
0.03663531690835953,
0.07100775092840195,
0.030353860929608345,
0.03033435344696045,
0.01100229937583208,
0.025633016601204872,
-0.0013423683121800423,
0.020483003929257393,
0.04623306542634964,
0.02830556035041809,
-0.0289493128657341,
0.028012946248054504,
0.03210954740643501,
-0.030548937618732452,
-0.006681360770016909,
0.022921457886695862,
0.03924933820962906,
0.029632078483700752,
-0.050017546862363815,
0.003838124917820096,
0.02348717860877514,
0.031641364097595215,
0.03134874999523163,
0.009075921960175037,
0.05731339752674103,
0.0026774213183671236,
-0.036654822528362274,
-0.012319063767790794,
-0.004494068678468466,
-0.10237600654363632,
-0.010212240740656853,
-0.01840544305741787,
-0.020522018894553185,
0.01252389419823885,
0.0034260263200849295,
0.004979320801794529,
0.0035381950438022614,
0.0029407741967588663,
0.013879673555493355,
0.027135103940963745,
-0.009314890019595623,
-0.040224719792604446,
0.01257266290485859,
0.029339464381337166,
0.013265183195471764,
-0.006886190734803677,
-0.05169520154595375,
-0.023272594437003136,
-0.007988371886312962,
0.000913200608920306,
0.01739104650914669,
0.012543401680886745,
-0.01847371831536293,
0.0036162256728857756,
-0.012826262041926384,
0.03441144526004791,
-0.01557683665305376,
-0.04990049824118614,
-0.08161989599466324,
-0.022414259612560272,
-0.04724746197462082,
0.05766453221440315,
0.026218244805932045,
-0.014191796071827412,
0.006539930589497089,
0.029163897037506104,
-0.01898091658949852,
-0.042526617646217346,
-0.019849006086587906,
-0.03548436611890793,
0.029710110276937485,
-0.0238968376070261,
0.04151222109794617,
0.007822556421160698,
-0.025574494153261185,
0.050251636654138565,
-0.04151222109794617,
0.04034176468849182,
0.05290467292070389,
0.00915395189076662,
0.08185398578643799,
-0.005632826127111912,
0.011177867650985718,
0.04635011404752731,
0.06698917597532272,
0.00905153714120388,
0.05118800327181816,
-0.012104480527341366,
-0.05196830630302429,
0.010241501964628696,
-0.024384528398513794,
-0.0195271298289299,
-0.021848537027835846,
0.021068232133984566,
-0.051812246441841125,
0.011646050959825516,
-0.016718033701181412,
0.019644176587462425,
-0.010602393187582493,
0.07927898317575455,
0.018463965505361557,
-0.04151222109794617,
-0.055596724152565,
0.012309310026466846,
-0.03987358137965202,
-0.05661112070083618,
0.007417773827910423,
-0.02935897186398506,
-0.022082628682255745,
-0.01985876075923443,
0.0027359442319720984,
0.030548937618732452,
-0.021653462201356888,
-0.03704497590661049,
-0.03829346224665642,
0.050797849893569946,
0.002467714250087738,
-0.023935852572321892,
0.002516483422368765,
0.050992924720048904,
-0.008124925196170807,
0.004606237635016441,
0.0004291677032597363,
0.025789078325033188,
0.020092852413654327,
-0.06492137163877487,
-0.004998828284442425,
-0.0010217117378488183,
0.03661580756306648,
-0.03505519777536392,
-0.026861997321248055,
-0.005574303213506937,
0.007598218973726034,
0.041239116340875626,
-0.023448163643479347,
-0.05610392242670059,
0.04728647693991661,
0.022862933576107025,
0.019517377018928528,
-0.051500122994184494,
0.00810054037719965,
0.01128515973687172,
-0.0165424644947052,
0.03809838742017746,
-0.005506026558578014,
-0.04049782454967499,
-0.0197612214833498,
-0.02104872465133667,
-0.016415664926171303,
-0.03142677992582321,
0.0069593447260558605,
0.00651554623618722,
0.009446565993130207,
-0.02799343876540661,
-0.002567690797150135,
-0.029749125242233276,
-0.03318246826529503,
-0.01996605284512043,
0.001728863106109202,
-0.0772111713886261,
-0.03624516353011131,
-0.013567551970481873,
-0.04986148327589035,
-0.009929380379617214,
0.015820682048797607,
-0.019127223640680313,
-0.07096873223781586,
0.0012204456143081188,
0.0020361081697046757,
-0.024930741637945175,
-0.03501618281006813,
0.024091914296150208,
-0.03979555144906044,
-0.06230734661221504,
0.011450974270701408,
-0.03878115490078926,
0.010446332395076752,
0.028090978041291237,
-0.057235367596149445,
-0.022921457886695862,
0.007432404439896345,
-0.045296698808670044,
0.0408879779279232,
-0.006627714727073908,
-0.03741561993956566,
0.020619558170437813,
0.005047597456723452,
0.003840563353151083,
0.03166087344288826,
0.007198312785476446,
0.01213374175131321,
0.04939329996705055,
0.016347387805581093,
0.03671334683895111,
-0.0008979602716863155,
-0.005998594220727682,
0.06363386660814285,
0.007266589440405369,
0.030295338481664658,
-0.019849006086587906,
-0.009519720450043678,
-0.013655336573719978,
0.06258045136928558,
0.009246612899005413,
0.016513202339410782,
0.039229828864336014,
0.03084155172109604,
0.03244117647409439,
-0.06659902632236481,
-0.04408722743391991,
0.00045324742677621543,
0.01837618090212345,
0.028851773589849472,
0.037103500217199326,
0.015235453844070435,
-0.01766415312886238,
-0.015742652118206024,
-0.027505747973918915,
0.0035113722551614046,
-0.015528067946434021,
-0.015011115930974483,
-0.044048212468624115,
0.009417304769158363,
-0.05555770918726921,
-0.01100229937583208,
0.031036628410220146,
0.02288244105875492,
-0.02674495056271553,
-0.06577970832586288,
-0.009427058510482311,
-0.02192656882107258,
0.04080994799733162,
0.016932616010308266,
-0.022862933576107025,
0.007076390087604523,
0.02362373098731041,
-0.05220239982008934,
-0.021887553855776787,
0.008573600091040134,
0.009695288725197315,
-0.026666920632123947,
-0.008480939082801342,
0.054075129330158234,
0.009773319587111473,
0.00871015340089798,
-0.03207053244113922,
-0.013411491177976131,
0.011187621392309666,
-0.006076624616980553,
0.03115367330610752,
-0.037474144250154495,
0.021633954718708992,
-0.04361904412508011,
0.010475593619048595,
0.04447738081216812,
-0.007456788793206215,
0.017517846077680588,
0.00955873541533947,
-0.006988605950027704,
0.014572194777429104,
-0.012543401680886745,
0.017293507233262062,
-0.03199250251054764,
0.016835078597068787,
-0.034255385398864746,
0.005754748824983835,
0.00025192266912199557,
-0.10323434323072433,
0.017313014715909958,
-0.04627208039164543,
-0.03460652381181717,
0.017449568957090378,
-0.01803479716181755,
-0.014269826002418995,
-0.034528493881225586,
-0.0046525681391358376,
-0.03626467287540436,
0.03515273705124855,
-0.0018568818923085928,
0.012348324991762638,
0.011021806858479977,
0.02179001457989216,
-0.006115640047937632,
-0.02003432810306549,
0.016015758737921715,
-0.0020763427019119263,
0.011724081821739674,
0.009124690666794777,
-0.04291677102446556,
-0.026901012286543846,
0.004413599614053965,
-0.007042251992970705,
0.03796183317899704,
-0.03644023835659027,
-0.07295850664377213,
0.005184150766581297,
-0.01503062341362238,
-0.0023738339077681303,
0.014006473124027252,
0.024891726672649384,
-0.0578986257314682,
0.030568445101380348,
-0.032831329852342606,
0.11423663794994354,
0.01766415312886238,
-0.045803897082805634,
-0.01318715326488018,
-0.0209121722728014,
-0.01782996766269207,
-0.03210954740643501,
0.0004834232968278229,
-0.021770507097244263,
-0.012875030748546124,
0.05575278773903847,
0.021575430408120155,
0.03413834050297737,
0.04865201190114021,
0.0065252999775111675,
-0.020151374861598015,
0.02026841975748539,
-0.03238265588879585,
0.025750061497092247,
0.01779095269739628,
0.02684248983860016,
0.0019336931873112917,
0.016483942046761513,
-0.01745932176709175,
0.07237327843904495,
0.013372475281357765,
0.025750061497092247,
-0.0021019463893026114,
0.003484549233689904,
-0.0023018994834274054,
0.0007906683604232967,
-0.022355735301971436,
0.024091914296150208,
0.04209744930267334,
-0.0012558032758533955,
-0.016669264063239098,
0.024755174294114113,
0.02307751774787903,
-0.0017410553991794586,
0.043736089020967484,
0.03934687748551369,
-0.03341655805706978,
0.041239116340875626,
0.027076581493020058,
-0.04400919750332832,
0.020424481481313705,
-0.05508952587842941,
-0.0652725100517273,
-0.03846903145313263,
-0.018463965505361557,
-0.004698898643255234,
0.0771721601486206,
0.020365959033370018,
0.0040283240377902985,
-0.026998549699783325,
0.0657406896352768,
0.027408210560679436,
0.01887362450361252,
-0.0008126143948175013,
-0.008871091529726982,
-0.0019922161009162664,
-0.016698526218533516,
-0.0006772803026251495,
-0.0031724271830171347,
-0.008793060667812824,
0.01272872369736433,
-0.01128515973687172,
0.04990049824118614,
-0.03097810596227646,
-0.016600986942648888,
-0.051070958375930786,
-0.001099132583476603,
0.025028280913829803,
-0.04194138944149017,
-0.02182902954518795,
-0.02738870307803154,
-0.01908820867538452,
-0.005379226990044117,
0.016006004065275192,
-0.02637430652976036,
0.0006062603206373751,
0.06503841280937195,
0.006661853287369013,
0.0038064250256866217,
-0.04927625507116318,
-0.014933085069060326,
-0.03361163288354874,
-0.03850804641842842,
0.007091021165251732,
0.011363190598785877,
0.05005656182765961,
-0.03367015719413757,
-0.019673438742756844,
0.03443095460534096,
-0.0035381950438022614,
-0.01105106808245182,
0.0008918641251511872,
0.02342865616083145,
0.004211208317428827,
-0.004879344254732132,
-0.023643238469958305,
-0.037201035767793655,
0.04724746197462082,
-0.026120707392692566,
-0.0006955686840228736,
0.05341187119483948,
-0.0031236582435667515,
0.0045282067731022835,
0.0027798363007605076,
-0.051266033202409744,
0.00022022277698852122,
0.031465794891119,
0.0038064250256866217,
-0.0854433923959732,
-0.0025945138186216354,
0.009987902827560902,
-0.011821619234979153,
0.04888610169291496,
-0.00525242742151022,
-0.002701805904507637,
0.021536415442824364,
0.0248136967420578,
-0.014064996503293514,
-0.02338963933289051,
0.019546639174222946,
0.009012522175908089,
0.011811865493655205,
-0.015342745929956436,
0.011977680958807468,
0.012699462473392487,
-0.0004340446030255407,
0.021165771409869194,
0.013401737436652184,
-0.015440283343195915,
0.003857632400467992,
0.017566613852977753,
0.027583779767155647,
0.009085675701498985,
-0.002609144663438201,
0.046662233769893646,
-0.012377587147057056,
-0.004199015907943249,
-0.0030626968946307898,
0.013830904848873615,
0.03185594826936722,
-0.019468607380986214,
-0.02210213616490364,
-0.01369435153901577,
-0.0009698946378193796,
-0.0016691209748387337,
-0.02619873732328415,
0.022589826956391335,
0.0024262606166303158,
0.035952549427747726,
0.020931679755449295,
-0.031816933304071426,
-0.029476018622517586,
0.015128161758184433,
0.006257070228457451,
0.016581479460000992,
-0.02118527889251709,
-0.013206660747528076,
0.05536263436079025,
0.007227574475109577,
0.00234701088629663,
0.012426355853676796,
0.009114936925470829,
0.04186335951089859,
-0.03593304008245468,
-0.017069170251488686,
0.009402674622833729,
0.03532830625772476,
-0.011294913478195667,
-0.012426355853676796,
0.023214071989059448,
-0.012816508300602436,
0.03322148323059082,
-0.015947481617331505,
0.03745463490486145,
0.03134874999523163,
0.054387252777814865,
0.010104948654770851,
0.028656698763370514,
0.05579180270433426,
0.003889332292601466,
0.01644492708146572,
-0.050524745136499405,
0.0028432360850274563,
0.05707930400967598,
-0.02931995689868927,
-0.017917752265930176,
0.0383714959025383,
0.03378720209002495,
-0.008007879368960857,
-0.021653462201356888,
0.014279579743742943,
0.004099039360880852,
-0.022765396162867546,
-0.007217820733785629,
-0.004486753139644861,
0.0006839860579930246,
0.02775934711098671,
-0.03583550453186035,
-0.044048212468624115,
-0.04311184585094452,
-0.04112206771969795,
-0.003121219575405121,
0.020014820620417595,
0.025808585807681084,
-0.000014087780073168688,
-0.05419217795133591,
0.004269730765372515,
0.031212197616696358,
0.02762279473245144,
0.005013458896428347,
-0.010914514772593975,
-0.036050088703632355,
0.011060821823775768,
0.07510434836149216,
-0.02325308695435524,
0.010855992324650288,
-0.01408450398594141,
0.03698645159602165,
0.03271428495645523,
-0.006666730158030987,
0.02586710825562477,
0.03372868150472641,
0.00328459613956511,
0.035035692155361176,
0.0236627459526062,
0.01921500824391842,
-0.0015508560463786125,
-0.016093788668513298,
0.016396157443523407,
0.02592563070356846,
-0.021204786375164986,
0.01887362450361252,
-0.05992741882801056,
-0.019517377018928528,
0.026803474873304367,
0.010124456137418747,
-0.0069252061657607555,
0.00782743375748396,
-0.004077093210071325,
0.022355735301971436,
-0.060551661998033524,
-0.010192733258008957,
0.006432638503611088,
0.05352891609072685,
-0.008198078721761703,
-0.0195271298289299,
0.04322889447212219,
0.0028798128478229046,
-0.013470013625919819,
-0.0023811492137610912,
-0.026081692427396774,
0.04592094570398331,
-0.0006233295425772667,
-0.02219967544078827,
0.06281454861164093,
-0.00860773865133524,
0.008300493471324444,
0.010085441172122955,
-0.0004111841262783855,
0.05298270285129547,
-0.00732023548334837,
0.008139555342495441,
-0.020795125514268875,
-0.04408722743391991,
-0.02444305084645748,
0.01820061169564724,
-0.049510348588228226,
0.0143576106056571,
-0.04623306542634964,
-0.002272638026624918,
0.021907061338424683,
-0.006281454581767321,
0.043736089020967484,
0.07502631843090057,
-0.015879204496741295,
0.02664741314947605,
0.006588699761778116,
0.009329521097242832,
-0.01780070550739765,
0.0156256053596735,
0.021516907960176468,
0.040224719792604446,
-0.03294837474822998,
-0.008768676780164242,
0.0213608480989933,
-0.003704009810462594,
0.0023982184939086437,
-0.01408450398594141,
0.03156333416700363,
-0.004767175298184156,
0.03745463490486145,
0.029300449416041374,
0.05446528270840645,
-0.03253871574997902,
0.01576215960085392,
-0.04030274972319603,
0.0019019932951778173,
-0.00698372907936573,
-0.018190858885645866,
-0.04701337218284607,
-0.014611209742724895,
0.004030762705951929,
0.019039440900087357,
0.04213646426796913,
-0.012280048802495003,
-0.03868361562490463,
0.014718501828610897,
-0.016318127512931824,
-0.032694775611162186,
-0.01759587600827217,
-0.014767270535230637,
-0.022589826956391335,
0.010309779085218906,
0.011324174702167511,
-0.02573055401444435,
-0.008237093687057495,
-0.024989265948534012,
0.02742771804332733,
0.011333929374814034,
-0.0028334823437035084,
0.023038502782583237,
-0.015947481617331505,
-0.017712920904159546,
-0.03515273705124855,
-0.02721313387155533,
0.012260541319847107,
0.058483853936195374,
-0.01773243024945259,
-0.012582416646182537,
-0.032694775611162186,
-0.02477468177676201,
-0.004869590513408184,
-0.0024738104548305273,
-0.0450235940515995,
0.017205722630023956,
0.012582416646182537,
-0.004140492994338274,
0.04599897563457489,
0.027408210560679436,
0.026354799047112465,
0.06769145280122757,
-0.04599897563457489,
0.07338767498731613,
-0.0468573123216629,
0.012211771681904793,
0.015976743772625923,
-0.019702699035406113,
-0.02058054320514202,
0.021907061338424683,
0.015108654275536537,
-0.0209121722728014,
0.03037336841225624,
0.007027621380984783,
-0.022219182923436165,
-0.045101623982191086,
-0.0018654164159670472,
-0.016971632838249207,
-0.0006693553295917809,
-0.04201941937208176,
0.009841595776379108,
0.027505747973918915,
0.028695713728666306,
0.028617683798074722,
-0.0347040630877018,
0.030353860929608345,
0.03911278396844864,
0.03450898453593254,
-0.04471147060394287,
0.01664000190794468,
0.008412662893533707,
0.008129801601171494,
0.00003286196442786604,
-0.025789078325033188,
0.024521082639694214,
-0.01985876075923443,
-0.010982791893184185,
-0.03480159863829613,
-0.019878268241882324,
-0.08201004564762115,
-0.02454059012234211,
0.04494556412100792,
-0.011216883547604084,
0.031036628410220146,
-0.029710110276937485,
0.04049782454967499,
0.0066959913820028305,
0.004101477563381195,
0.03841051086783409,
-0.038156911730766296,
0.006827668286859989,
-0.01881510205566883,
-0.006149778142571449,
-0.035035692155361176,
0.046935342252254486,
-0.011538758873939514,
-0.01565486751496792,
-0.023331116884946823,
-0.033572617918252945,
-0.0351722426712513,
-0.011382698081433773,
-0.000655334210023284,
-0.018220119178295135,
-0.010436578653752804,
0.05212436988949776,
0.018629780039191246,
-0.01888337917625904,
-0.03322148323059082,
0.0035357566084712744,
-0.004564784001559019,
0.003604033263400197,
-0.002614021534100175,
-0.03267526999115944,
-0.01851273514330387,
0.015050130896270275,
0.01854199543595314,
0.024345513433218002,
0.003194373333826661,
0.036791376769542694,
-0.0054865190759301186,
-0.03841051086783409,
-0.00810054037719965,
0.015284222550690174,
0.031816933304071426,
0.02348717860877514,
0.015225700102746487,
-0.012582416646182537,
-0.04810579866170883,
0.038625095039606094,
-0.03647925332188606,
-0.04697435721755028,
0.009758688509464264,
-0.035640425980091095,
0.011099837720394135,
-0.02444305084645748,
0.00808590929955244,
0.01252389419823885,
0.023175057023763657,
-0.003460164647549391,
0.03238265588879585,
0.012533647939562798,
0.019371069967746735,
0.01823962666094303,
0.019614914432168007,
0.04346298426389694,
0.014767270535230637,
0.008393154479563236,
-0.007588465232402086,
-0.04806678369641304,
0.01786898262798786,
-0.02348717860877514,
-0.03101712092757225,
-0.00013502933143172413,
-0.0012899416033178568,
-0.01996605284512043,
-0.05610392242670059,
0.059069082140922546,
-0.019175993278622627,
0.02514532580971718,
-0.01887362450361252,
-0.024091914296150208,
-0.047637615352869034,
0.0019312546355649829,
-0.019127223640680313,
-0.014152780175209045,
0.014006473124027252,
-0.030451400205492973,
-0.020248912274837494,
-0.025515971705317497,
0.0794740542769432,
0.0008613834506832063,
0.0015094022965058684,
-0.04397018253803253,
-0.012582416646182537,
-0.023467671126127243,
0.01599625125527382,
-0.04205843433737755,
0.005593810696154833,
-0.019468607380986214,
-0.01089500728994608,
-0.015469545498490334,
-0.04775466024875641,
0.016932616010308266,
-0.0069349599070847034,
0.004647691268473864,
0.020619558170437813,
-0.011704573407769203,
-0.0038210556376725435,
-0.045569807291030884,
-0.006076624616980553,
0.05294368788599968,
-0.012699462473392487,
0.02003432810306549,
-0.03907376900315285,
0.0082175862044096,
-0.016210835427045822,
0.003191934898495674,
-0.009885488077998161,
-0.015508560463786125,
0.05508952587842941,
0.01548905298113823,
-0.026959534734487534,
0.016825325787067413,
-0.01566462218761444,
-0.03468455374240875,
-0.007012990303337574,
0.023682253435254097,
-0.022394752129912376,
0.048495952039957047,
0.003352872794494033,
-0.027369195595383644,
-0.027954423800110817,
-0.0005690739490091801,
0.04771564528346062,
0.048964135348796844,
0.008193201385438442,
0.043306924402713776,
0.009451443329453468,
-0.05110997334122658,
0.010699931532144547,
-0.002567690797150135,
-0.022901948541402817,
0.007447035051882267,
-0.033884741365909576,
-0.04244858771562576,
0.03419686481356621,
-0.040926992893218994,
-0.013782135210931301,
0.003311418928205967,
-0.02210213616490364,
0.041746314615011215,
-0.04178532958030701,
0.05867892876267433,
-0.05017360672354698
] |
As a prevalent problem in online advertising, CTR prediction has attracted
plentiful attention from both academia and industry. Recent studies have been
reported to establish CTR prediction models in the graph neural networks (GNNs)
framework. However, most of GNNs-based models handle feature interactions in a
complete graph, while ignoring causal relationships among features, which
results in a huge drop in the performance on out-of-distribution data. This
paper is dedicated to developing a causality-based CTR prediction model in the
GNNs framework (Causal-GNN) integrating representations of feature graph, user
graph and ad graph in the context of online advertising. In our model, a
structured representation learning method (GraphFwFM) is designed to capture
high-order representations on feature graph based on causal discovery among
field features in gated graph neural networks (GGNNs), and GraphSAGE is
employed to obtain graph representations of users and ads. Experiments
conducted on three public datasets demonstrate the superiority of Causal-GNN in
AUC and Logloss and the effectiveness of GraphFwFM in capturing high-order
representations on causal feature graph. | [
0.0014452135656028986,
-0.06618325412273407,
-0.031285662204027176,
0.007998471148312092,
0.03718160465359688,
-0.044617924839258194,
-0.03624321147799492,
0.031462717801332474,
-0.09072311222553253,
-0.015616273507475853,
-0.019830189645290375,
-0.03588910028338432,
-0.0018712527817115188,
-0.06632489711046219,
0.01723632961511612,
0.01942296139895916,
0.030223332345485687,
-0.012606333941221237,
-0.001922156079672277,
-0.01860850676894188,
0.031321074813604355,
-0.010366585105657578,
0.01458935346454382,
0.014483120292425156,
0.019901011139154434,
0.04136010631918907,
0.0030940405558794737,
0.020573820918798447,
-0.031285662204027176,
0.0073654986917972565,
0.018856385722756386,
0.04302442818880081,
-0.0020571607165038586,
-0.05580781772732735,
-0.042741138488054276,
0.010614462196826935,
0.025425134226679802,
0.05488713085651398,
-0.024486742913722992,
0.014447708614170551,
-0.006028731353580952,
0.041855864226818085,
0.007316808681935072,
0.008489799685776234,
0.0034570039715617895,
-0.04415757954120636,
-0.03341032564640045,
-0.03075449727475643,
0.016094323247671127,
-0.026965515688061714,
-0.015288721770048141,
0.007192869670689106,
0.03962496668100357,
0.03806687891483307,
-0.031250253319740295,
0.033233270049095154,
0.043768059462308884,
0.006024305243045092,
0.03518087789416313,
0.06193392723798752,
-0.032949984073638916,
0.0598800890147686,
-0.021689269691705704,
-0.012579776346683502,
-0.01633334718644619,
-0.004039072897285223,
-0.024274276569485664,
0.01277453638613224,
0.019192790612578392,
-0.028895417228341103,
-0.05747213587164879,
0.008162247017025948,
0.008370287716388702,
-0.03594221547245979,
-0.04518450051546097,
0.05527665093541145,
0.04525532200932503,
0.018891796469688416,
-0.0036938153207302094,
-0.029338056221604347,
0.04206832870841026,
0.023300472646951675,
-0.019192790612578392,
0.027850791811943054,
0.05793248116970062,
-0.03725242614746094,
0.02014888823032379,
-0.05566617101430893,
0.007591244298964739,
0.018767857924103737,
-0.0475570410490036,
0.04302442818880081,
-0.05187718942761421,
-0.056091103702783585,
-0.025761539116501808,
-0.039058391004800797,
0.022468311712145805,
0.00977344997227192,
-0.030435798689723015,
0.07163655757904053,
0.00726369209587574,
0.0057277376763522625,
-0.006024305243045092,
-0.006515633314847946,
0.022291256114840508,
-0.017953403294086456,
-0.046388477087020874,
0.013535873964428902,
-0.0016067764954641461,
0.15311738848686218,
-0.009596395306289196,
0.025194963440299034,
-0.030187921598553658,
-0.0022353227250277996,
0.0036362723913043737,
0.023530643433332443,
-0.0702909380197525,
-0.042705729603767395,
0.035588108003139496,
-0.033870670944452286,
-0.012562070041894913,
0.01579332910478115,
-0.03080761432647705,
0.0012515593552961946,
-0.037323247641325,
0.08548227697610855,
-0.03456118702888489,
-0.017971107736229897,
0.009056376293301582,
-0.02457526884973049,
-0.03873968869447708,
0.011340389028191566,
-0.014456561766564846,
-0.010826928541064262,
0.04210374131798744,
-0.051523078233003616,
0.013323408551514149,
0.03863345831632614,
-0.007728462107479572,
-0.05368315428495407,
0.01368637103587389,
-0.0011442196555435658,
-0.003866444109007716,
-0.04656553268432617,
-0.009410486556589603,
0.013048972003161907,
0.005656915251165628,
0.06260673701763153,
0.013916542753577232,
0.029373466968536377,
-0.0404394194483757,
0.06168605014681816,
0.010242646560072899,
0.03002857230603695,
-0.008467667736113071,
-0.012969297356903553,
0.01792684569954872,
-0.04125387594103813,
0.02383163757622242,
-0.042705729603767395,
0.0491151288151741,
-0.016306789591908455,
-0.013048972003161907,
0.00011384100071154535,
-0.01181843876838684,
0.03806687891483307,
0.03192306309938431,
-0.04589272290468216,
-0.09830107539892197,
0.060340430587530136,
0.06529797613620758,
0.020839404314756393,
-0.0060065994039177895,
0.011269567534327507,
0.03169289231300354,
0.04001448675990105,
0.015527745708823204,
-0.008472094312310219,
-0.008193232119083405,
0.02816949225962162,
-0.03948332369327545,
-0.012482395395636559,
0.043626416474580765,
0.0018458010163158178,
-0.0018336285138502717,
0.040970586240291595,
0.06653736531734467,
0.02824031375348568,
0.006272182334214449,
0.042705729603767395,
0.008830631151795387,
0.00342823239043355,
0.05393103137612343,
-0.017625851556658745,
-0.01591726765036583,
0.02384934388101101,
-0.05715343728661537,
-0.02721339277923107,
-0.017608145251870155,
-0.04295360669493675,
-0.05116897076368332,
-0.018891796469688416,
0.03277292847633362,
-0.024415919557213783,
0.021706974133849144,
0.026151061058044434,
0.04932759329676628,
-0.024097220972180367,
-0.03241881728172302,
-0.0021888455376029015,
-0.01598808914422989,
0.01837833598256111,
-0.03348115086555481,
-0.028559012338519096,
0.0031493704300373793,
0.006183655001223087,
0.018095048144459724,
0.050744038075208664,
-0.018891796469688416,
0.00016958573542069644,
0.03507464751601219,
0.017192065715789795,
0.054214321076869965,
0.032967690378427505,
-0.01543921884149313,
0.011482033878564835,
-0.009012112393975258,
-0.02914329618215561,
-0.02372540533542633,
-0.009481308981776237,
-0.03438413143157959,
0.01367751881480217,
-0.03682749345898628,
0.024309687316417694,
0.04295360669493675,
0.039979077875614166,
-0.021547624841332436,
-0.03241881728172302,
0.017847169190645218,
-0.01954689994454384,
-0.051593903452157974,
-0.033906083554029465,
-0.00638726819306612,
-0.007338940631598234,
0.06813086569309235,
0.022556839510798454,
-0.01317291148006916,
0.025106435641646385,
0.04592813551425934,
0.012836506590247154,
-0.04674258828163147,
-0.01595267839729786,
-0.001493903691880405,
-0.014376887120306492,
-0.02723109908401966,
0.01412900909781456,
0.036437973380088806,
-0.032241761684417725,
0.03806687891483307,
-0.04922136291861534,
0.023123417049646378,
0.02014888823032379,
-0.025832362473011017,
0.020060360431671143,
0.0105879046022892,
-0.018254397436976433,
0.010676432400941849,
-0.047309163957834244,
0.01595267839729786,
0.028700657188892365,
-0.0032910145819187164,
-0.044511690735816956,
0.003669470315799117,
-0.005918072070926428,
-0.0657937303185463,
-0.015766771510243416,
0.05053156986832619,
-0.019830189645290375,
0.02275160141289234,
-0.019741661846637726,
-0.016289083287119865,
-0.02112269215285778,
0.024132631719112396,
-0.0012449197238311172,
-0.013553580269217491,
-0.005006237421184778,
-0.04585731029510498,
-0.007356646005064249,
-0.07847089320421219,
0.01021608803421259,
-0.03199388459324837,
-0.027921613305807114,
-0.015687095001339912,
-0.00451269606128335,
0.03866886720061302,
0.05301034450531006,
-0.009800008498132229,
0.03544646129012108,
0.04036859795451164,
-0.05793248116970062,
-0.03781900182366371,
-0.03606615588068962,
0.021689269691705704,
0.0531165786087513,
-0.020981047302484512,
0.03633173927664757,
0.08604885637760162,
0.046246834099292755,
-0.028877712786197662,
-0.043732646852731705,
0.033091627061367035,
-0.006108406465500593,
-0.008272906765341759,
-0.02383163757622242,
-0.016156291589140892,
0.021529918536543846,
0.019104262813925743,
-0.003142730798572302,
-0.04433463513851166,
-0.053293634206056595,
-0.023442115634679794,
-0.03248963877558708,
-0.05386020988225937,
0.0023061446845531464,
-0.0035278259310871363,
0.06048207730054855,
-0.029727578163146973,
0.034047726541757584,
-0.019670838490128517,
0.029515111818909645,
-0.03411854803562164,
-0.0440867580473423,
-0.04568025469779968,
-0.013597844168543816,
-0.04040401056408882,
-0.028771478682756424,
-0.012960445135831833,
0.041112229228019714,
-0.05286870151758194,
-0.04695505276322365,
-0.01933443360030651,
0.000040114082366926596,
-0.02475232444703579,
0.007427467964589596,
-0.024398215115070343,
-0.03603074327111244,
-0.012340751476585865,
0.005355921573936939,
0.05134602636098862,
0.010463966056704521,
0.0007901091012172401,
0.015855297446250916,
-0.029408877715468407,
0.031037786975502968,
0.08980242908000946,
-0.012181401252746582,
0.008733250200748444,
-0.023654581978917122,
-0.013668665662407875,
0.034862179309129715,
0.03358738124370575,
-0.055135007947683334,
-0.014297212474048138,
0.06384612619876862,
-0.11706893891096115,
-0.009286548011004925,
0.012464690022170544,
-0.0050637805834412575,
0.015749065205454826,
-0.03369361534714699,
-0.07344251871109009,
0.010269205085933208,
-0.00903424434363842,
0.005789706949144602,
-0.031232547014951706,
0.027567503973841667,
-0.047202929854393005,
0.00285501591861248,
-0.02905476838350296,
0.030577443540096283,
-0.028523601591587067,
-0.002635910175740719,
0.017192065715789795,
0.02655828930437565,
-0.000060689839301630855,
0.02721339277923107,
0.03344573825597763,
-0.0005909219034947455,
-0.020078066736459732,
0.03693372756242752,
0.01942296139895916,
-0.028629835695028305,
-0.035694338381290436,
-0.02731962688267231,
0.026894694194197655,
-0.012995855882763863,
0.029497405514121056,
-0.001517142285592854,
0.05269164592027664,
-0.028647540137171745,
0.014899199828505516,
-0.017121244221925735,
0.07153032720088959,
0.03778359293937683,
-0.028488190844655037,
0.0145362364128232,
-0.009490162134170532,
-0.027673736214637756,
0.001961993519216776,
0.002728864084929228,
0.015501188114285469,
-0.07266347855329514,
-0.03969578817486763,
0.03445495292544365,
0.03241881728172302,
0.04164339601993561,
-0.031037786975502968,
0.005918072070926428,
0.05131061375141144,
-0.004656553268432617,
0.03443724662065506,
-0.006776790134608746,
0.08732365071773529,
0.02831113524734974,
-0.02657599374651909,
0.016908777877688408,
-0.017227476462721825,
-0.016590077430009842,
-0.0473799854516983,
-0.023583760485053062,
0.06975977122783661,
-0.014226390048861504,
0.003337491536512971,
0.003361836774274707,
-0.04465333744883537,
0.03443724662065506,
0.02027282677590847,
0.005825118161737919,
-0.055914051830768585,
0.0009765704162418842,
-0.0020682266913354397,
-0.05198342353105545,
-0.04649471119046211,
0.04695505276322365,
-0.027815381065011024,
-0.03994366526603699,
-0.02569071762263775,
-0.05998631939291954,
-0.048229850828647614,
-0.04745081067085266,
-0.07128244638442993,
0.027142571285367012,
-0.03098466992378235,
-0.07719609141349792,
-0.024238863959908485,
-0.01053478755056858,
0.03348115086555481,
-0.026788460090756416,
0.05205424502491951,
-0.03374673053622246,
0.02822260744869709,
0.05577240511775017,
-0.0385272242128849,
-0.02567301318049431,
-0.028559012338519096,
0.04653012007474899,
-0.026699932292103767,
0.0016665325965732336,
0.011207597330212593,
0.007454026490449905,
0.01595267839729786,
-0.019245905801653862,
-0.0012913967948406935,
-0.024309687316417694,
0.03583598509430885,
-0.008684560656547546,
-0.0068564647808671,
-0.07733773440122604,
0.03348115086555481,
0.01954689994454384,
0.020467586815357208,
0.048973485827445984,
0.017448795959353447,
0.03078990988433361,
0.01181843876838684,
-0.021388275548815727,
0.03073679283261299,
-0.0025540220085531473,
-0.015394954942166805,
-0.041891273111104965,
-0.04766327515244484,
-0.0009776769438758492,
-0.033888377249240875,
0.012960445135831833,
0.01535069104284048,
-0.006883023306727409,
-0.000022218360754777677,
-0.01547462958842516,
0.026646817103028297,
0.00923343189060688,
0.059561386704444885,
-0.030471209436655045,
0.03629632666707039,
-0.007989618927240372,
0.010508229956030846,
-0.05131061375141144,
0.027762264013290405,
0.029692167416214943,
-0.014235242269933224,
0.006506780628114939,
0.0044285948388278484,
0.02275160141289234,
-0.03415396064519882,
-0.002815178595483303,
-0.004917709622532129,
-0.03549958020448685,
-0.00933081191033125,
-0.020042655989527702,
0.020857108756899834,
0.02898394502699375,
-0.006285461597144604,
0.0020162167493253946,
-0.04521991312503815,
0.047132108360528946,
-0.025974005460739136,
0.05616192892193794,
0.0056037986651062965,
-0.031055491417646408,
0.05382479727268219,
0.005643636453896761,
-0.00594020402058959,
0.004926562309265137,
0.015731358900666237,
-0.004607863258570433,
-0.02565530687570572,
-0.013951954431831837,
-0.01584644615650177,
0.0003336385125294328,
-0.04330771416425705,
-0.05973844230175018,
-0.027850791811943054,
0.018024224787950516,
-0.00621021306142211,
0.03976660966873169,
0.02988692745566368,
0.015085107646882534,
-0.006679409649223089,
-0.031303368508815765,
-0.028488190844655037,
0.027921613305807114,
0.05350609868764877,
0.027673736214637756,
0.03086073137819767,
0.002385819563642144,
0.06150899454951286,
-0.030276449397206306,
-0.04259949550032616,
-0.03689831495285034,
-0.015226752497255802,
0.024256570264697075,
0.06381071358919144,
0.007816989906132221,
0.0029014931060373783,
-0.0021744598634541035,
-0.0014175486285239458,
-0.00590921938419342,
0.048017386347055435,
0.049008894711732864,
-0.021706974133849144,
0.029621344059705734,
-0.0011464328272268176,
0.008458814583718777,
-0.03383525833487511,
-0.041112229228019714,
0.0005444448906928301,
0.005475434008985758,
0.0048114764504134655,
-0.04681340977549553,
-0.0012604121584445238,
-0.013164058327674866,
0.02376081608235836,
-0.008414550684392452,
0.03629632666707039,
0.03703995794057846,
-0.0008924691355787218,
0.012199107557535172,
-0.03983743116259575,
-0.03270210698246956,
-0.01056134607642889,
-0.011074806563556194,
-0.022486018016934395,
0.05701179429888725,
-0.019600016996264458,
-0.025761539116501808,
-0.06968894600868225,
-0.039058391004800797,
-0.031321074813604355,
0.02110498584806919,
0.06678524613380432,
-0.065616674721241,
0.04146634042263031,
0.0035278259310871363,
0.02129974775016308,
-0.002388032851740718,
-0.015377248637378216,
-0.028594424948096275,
-0.0009295400814153254,
0.01286306418478489,
-0.010835781693458557,
0.0010335600236430764,
0.03181682899594307,
0.01801537163555622,
0.02106957510113716,
-0.0456448458135128,
0.020892519503831863,
-0.011358094401657581,
0.04769868776202202,
0.024097220972180367,
-0.04568025469779968,
-0.04136010631918907,
0.07818759977817535,
-0.016740575432777405,
0.060305021703243256,
-0.013766046613454819,
0.018820973113179207,
-0.006489075254648924,
-0.00774174090474844,
-0.0065776025876402855,
0.0011652449611574411,
-0.026151061058044434,
-0.017820611596107483,
0.02037906087934971,
-0.0544976070523262,
-0.014403444714844227,
0.014545089565217495,
-0.016528109088540077,
0.017864875495433807,
0.016094323247671127,
-0.010331174358725548,
0.011526296846568584,
-0.04143093153834343,
-0.003919560927897692,
-0.03987284377217293,
0.04759245365858078,
0.007604523096233606,
-0.02554907277226448,
-0.0030829745810478926,
0.009437045082449913,
-0.00019268591131549329,
0.008812925778329372,
0.0009328598971478641,
0.02039676532149315,
0.012942738831043243,
0.03252505138516426,
-0.000262539746472612,
-0.03613697737455368,
0.03774818032979965,
-0.01503199152648449,
0.009941652417182922,
0.019794777035713196,
-0.015049696899950504,
-0.015589714981615543,
0.05028369277715683,
0.00485574034973979,
0.018218986690044403,
-0.02544284053146839,
-0.019883304834365845,
-0.019157378003001213,
0.03813770413398743,
0.04776950925588608,
-0.004501630086451769,
-0.024026397615671158,
-0.05003581568598747,
0.004864593036472797,
0.04748621955513954,
-0.045538611710071564,
0.00275099603459239,
0.019015735015273094,
0.0001392235280945897,
0.013385377824306488,
-0.020981047302484512,
-0.014270653948187828,
-0.025938594713807106,
-0.046246834099292755,
-0.008631443604826927,
-0.006157096475362778,
-0.023512938991189003,
0.017280593514442444,
-0.014899199828505516,
0.02744356542825699,
0.00285280286334455,
-0.0525854118168354,
-0.010720695368945599,
0.03774818032979965,
-0.02735503762960434,
-0.02039676532149315,
0.007546980399638414,
0.024061810225248337,
0.02122892439365387,
-0.0025318902917206287,
-0.04667176678776741,
0.012402720749378204,
-0.02455756440758705,
0.031267959624528885,
-0.04245784878730774,
0.021866323426365852,
0.006236771587282419,
0.03615468367934227,
-0.06947648525238037,
-0.00012373119534458965,
0.007002535276114941,
0.030542030930519104,
-0.02367228828370571,
0.03447265923023224,
-0.013119794428348541,
-0.014226390048861504,
0.037464890629053116,
0.022627661004662514,
-0.0082861864939332,
0.02211420238018036,
0.023105710744857788,
0.013739488087594509,
0.03990825638175011,
-0.027744559571146965,
0.002416804200038314,
-0.010242646560072899,
0.014766408130526543,
0.023282766342163086,
-0.010552492924034595,
-0.003972677513957024,
0.032241761684417725,
-0.00231057102791965,
0.024947086349129677,
-0.010481671430170536,
-0.02388475462794304,
0.03675667196512222,
-0.02572612836956978,
0.03002857230603695,
0.006949418690055609,
-0.016032353043556213,
0.030258743092417717,
-0.02572612836956978,
-0.012022051960229874,
-0.026310410350561142,
-0.029373466968536377,
0.018307514488697052,
-0.023158827796578407,
0.02746126987040043,
0.014217536896467209,
-0.014252948574721813,
-0.011331536807119846,
-0.0175284706056118,
0.035694338381290436,
-0.02041447162628174,
-0.0827910378575325,
-0.025177257135510445,
-0.0047185225412249565,
0.025920890271663666,
-0.017484206706285477,
0.007763872854411602,
-0.016147440299391747,
0.01462476421147585,
0.0034813489764928818,
0.01096857339143753,
0.0584990568459034,
0.0019918717443943024,
-0.06919319182634354,
0.004479498136788607,
-0.013296850025653839,
-0.036544203758239746,
0.028399663046002388,
-0.013916542753577232,
0.04309524968266487,
0.008631443604826927,
0.006736952345818281,
0.008892600424587727,
0.038208525627851486,
-0.029532816261053085,
-0.017404532060027122,
0.02124663069844246,
-0.004904430825263262,
-0.026204178109765053,
-0.02728421427309513,
0.028505897149443626,
-0.010233793407678604,
-0.003487988607957959,
-0.028877712786197662,
-0.009180314838886261,
0.009516719728708267,
0.018838679417967796,
0.005413464270532131,
-0.03358738124370575,
0.025035614147782326,
-0.005218703765422106,
0.01929902285337448,
-0.042776551097631454,
0.00448613753542304,
-0.003711520927026868,
-0.022733895108103752,
-0.04500744491815567,
-0.01669631153345108,
-0.026947809383273125,
0.008547342382371426,
0.01745764911174774,
0.017466500401496887,
-0.03174600750207901,
-0.05109814554452896,
0.0028373105451464653,
-0.03615468367934227,
-0.017360268160700798,
0.051487669348716736,
0.013978512957692146,
0.0038598047103732824,
-0.016253672540187836,
0.0006650637951679528,
-0.033127039670944214,
-0.043520182371139526,
-0.03583598509430885,
-0.02820490300655365,
-0.030382681638002396,
0.02216731756925583,
-0.05648062750697136,
-0.048229850828647614,
-0.04213915020227432,
-0.013022414408624172,
-0.006679409649223089,
0.02041447162628174,
-0.00971148069947958,
0.05793248116970062,
-0.016758279874920845,
0.012615187093615532,
0.09001488983631134,
-0.03966037929058075,
0.012995855882763863,
-0.035747457295656204,
0.03583598509430885,
-0.01412015687674284,
-0.022432900965213776,
0.05315198749303818,
0.003669470315799117,
-0.003999235574156046,
0.014660174958407879,
-0.00970262847840786,
-0.014801819808781147,
0.01810389943420887,
0.015138224698603153,
-0.008091425523161888,
-0.03188765048980713,
-0.0132348807528615,
-0.014837230555713177,
-0.008658002130687237,
0.05127520114183426,
0.019192790612578392,
-0.020910225808620453,
-0.028612129390239716,
-0.010357732884585857,
0.03817311301827431,
0.028842302039265633,
-0.011800732463598251,
-0.039412498474121094,
0.03240111097693443,
-0.003981530200690031,
-0.021813208237290382,
-0.01197778806090355,
-0.001143113011494279,
0.051700133830308914,
0.0064802225679159164,
-0.05548911914229393,
-0.0051611606031656265,
-0.02363687753677368,
0.0011641383171081543,
0.008458814583718777,
-0.058569878339767456,
0.05216047912836075,
0.01931672915816307,
0.02103416435420513,
0.033959198743104935,
0.003390608122572303,
-0.05113355815410614,
-0.0371461920440197,
0.01855539157986641,
0.004258179105818272,
-0.022663073614239693,
-0.03261357918381691,
-0.015164783224463463,
-0.04228079691529274,
-0.0423516184091568,
-0.03372902795672417,
-0.06770592927932739,
-0.043661825358867645,
-0.04830067232251167,
0.02634582296013832,
-0.018909500911831856,
-0.010304615832865238,
0.011906965635716915,
-0.01137580070644617,
0.006219065748155117,
-0.002033922355622053,
-0.009428192861378193,
0.009392781183123589,
-0.002165607176721096,
-0.025053318589925766,
0.0229994785040617,
-0.01365096028894186,
0.026806166395545006,
0.012508953921496868,
0.008967848494648933,
-0.022255845367908478,
0.014350328594446182,
0.013358819298446178,
0.009259989485144615,
-0.01137580070644617,
-0.003649551421403885,
-0.015669390559196472,
0.037358660250902176,
0.023158827796578407,
-0.03640256077051163,
-0.008879320695996284,
0.059455156326293945,
0.0050283693708479404,
0.03707537055015564,
0.020007243379950523,
-0.01853768527507782,
0.01365096028894186,
-0.02469920925796032,
0.007856827229261398,
0.008981128223240376,
0.054178908467292786,
-0.05021287128329277,
0.033976905047893524,
-0.034879885613918304,
0.031073197722434998,
0.02901935577392578,
0.008255201391875744,
0.004545893520116806,
0.013119794428348541,
-0.04847772791981697,
0.002130195964127779,
0.012119431979954243,
-0.025850066915154457,
-0.001976379193365574,
0.005236409138888121,
-0.03449036553502083,
0.041891273111104965,
0.032082412391901016,
-0.01595267839729786,
0.048052795231342316,
-0.02021970972418785,
-0.026646817103028297,
0.004948694258928299,
-0.03767735883593559,
-0.03096696361899376,
0.013376524671912193,
-0.024026397615671158,
-0.04550320282578468,
-0.014341475442051888,
-0.02381393127143383,
0.0132348807528615,
-0.0175284706056118,
-0.016979599371552467,
0.01794455014169216,
0.009162609465420246,
-0.017909139394760132,
-0.004731801804155111,
-0.027089454233646393,
0.02572612836956978,
-0.020733170211315155,
-0.03863345831632614,
-0.0456448458135128,
0.01324373297393322,
0.02303488925099373,
-0.028718363493680954,
0.005546255968511105,
0.037571124732494354,
0.01418212614953518,
0.027797674760222435,
0.003957184962928295,
-0.006993682589381933,
-0.027797674760222435,
0.024132631719112396,
0.026080239564180374,
0.03102008067071438,
0.06349201500415802,
0.020768580958247185,
0.025425134226679802,
-0.01853768527507782,
0.03788982331752777,
-0.02034364826977253,
-0.03675667196512222,
0.00417407788336277,
-0.012482395395636559,
0.0029147721361368895,
0.017572734504938126,
-0.03718160465359688,
-0.04614059999585152,
0.021335158497095108,
-0.023990986868739128,
0.013137499801814556,
0.013571285642683506,
0.05003581568598747,
-0.0051965718157589436,
-0.033941492438316345,
-0.01725403405725956,
-0.004762786440551281,
0.01277453638613224,
-0.007476158440113068,
0.03429560363292694,
-0.007865679450333118,
0.023973282426595688,
0.028063258156180382,
-0.0006058609578758478,
-0.014261800795793533,
-0.0629962608218193,
-0.009180314838886261,
-0.019688544794917107,
-0.033906083554029465,
-0.04695505276322365,
0.016235966235399246,
0.011154481209814548,
-0.018201280385255814,
0.010393143631517887,
-0.02477003075182438,
0.006803348194807768,
-0.04178503900766373
] |
We propose a supervised deep learning (DL) approach to perform adaptive
zoning on time dependent partial differential equations that model the
propagation of 1D shock waves in a compressible medium. We train a neural
network on a dataset composed of different static shock profiles associated
with the corresponding adapted meshes computed with standard adaptive zoning
techniques. We show that the trained DL model learns how to capture the
presence of shocks in the domain and generates at each time step an adapted
non-uniform mesh that relocates the grid nodes to improve the accuracy of
Lax-Wendroff and fifth order weighted essentially non-oscillatory (WENO5) space
discretization schemes. We also show that the surrogate DL model reduces the
computational time to perform adaptive zoning by at least a 2x factor with
respect to standard techniques without compromising the accuracy of the
reconstruction of the physical quantities of interest. | [
-0.006979472003877163,
-0.019946478307247162,
-0.03734354302287102,
-0.0157004464417696,
0.043770939111709595,
0.02684067189693451,
-0.029515761882066727,
0.058205656707286835,
-0.0366613045334816,
0.013788384385406971,
0.0006940198363736272,
-0.06172456592321396,
0.0021701445803046227,
-0.043914567679166794,
0.0396416075527668,
-0.004865432623773813,
-0.02465032786130905,
-0.003720889100804925,
0.02725360356271267,
-0.07454345375299454,
0.03657153621315956,
-0.0013061262434348464,
-0.03483003377914429,
0.0091294189915061,
-0.03091614320874214,
0.031113633885979652,
-0.010933758690953255,
0.012289256788790226,
-0.06125777214765549,
0.06818787008523941,
0.039067089557647705,
0.04204739257693291,
0.010556732304394245,
0.023824462667107582,
0.009398723021149635,
-0.015493979677557945,
0.03569180890917778,
0.05278366059064865,
0.024686235934495926,
0.029731204733252525,
0.0926407128572464,
-0.05238867923617363,
-0.038169410079717636,
-0.034847989678382874,
0.05946240946650505,
-0.06272996962070465,
-0.07569248974323273,
0.0077694314531981945,
0.040287937968969345,
0.012046882882714272,
0.0077110822312533855,
-0.03278332203626633,
0.006983960513025522,
-0.07055775076150894,
-0.024686235934495926,
0.00628376891836524,
0.059498317539691925,
0.06869057565927505,
0.027271557599306107,
0.027756305411458015,
0.029479853808879852,
-0.03269355371594429,
-0.039138905704021454,
0.029264410957694054,
0.017980556935071945,
-0.04664352163672447,
0.04481225088238716,
0.0015417676186189055,
0.03903118148446083,
-0.025099169462919235,
-0.09615962207317352,
-0.0005840539233759046,
-0.06003692373633385,
0.021759795024991035,
-0.01049389410763979,
0.0000854199897730723,
-0.01086194347590208,
0.00964109692722559,
0.02342948131263256,
-0.01379736140370369,
0.03612269461154938,
0.058205656707286835,
-0.013079216703772545,
0.006225419696420431,
0.04980335757136345,
0.0019244042923673987,
0.03544045612215996,
-0.0660693421959877,
0.03795396536588669,
-0.06883420050144196,
-0.06527938693761826,
0.003361816518008709,
0.0041203573346138,
-0.02104165032505989,
-0.0026930440217256546,
0.0332501158118248,
-0.026140479370951653,
-0.033196255564689636,
-0.0800013542175293,
0.02262156829237938,
-0.03316034749150276,
0.008846648968756199,
0.014246202073991299,
0.05748751014471054,
0.009335885755717754,
-0.08100675791501999,
-0.05217323824763298,
0.003274292452260852,
0.0013880396727472544,
0.12043292075395584,
-0.010718314908444881,
0.02737927995622158,
0.04201148450374603,
0.013303636573255062,
-0.024560559540987015,
0.0019524568924680352,
-0.014057689346373081,
-0.0396416075527668,
-0.0032922462560236454,
-0.04700259119272232,
0.026212293654680252,
0.049480192363262177,
-0.0082407146692276,
0.029174642637372017,
0.012935587204992771,
0.02070053108036518,
-0.011256923899054527,
0.01859995722770691,
-0.01572737656533718,
-0.012486746534705162,
0.01684947870671749,
-0.011221015825867653,
-0.027756305411458015,
-0.04624854028224945,
-0.026661135256290436,
0.058672450482845306,
0.013501127250492573,
-0.0019120611250400543,
0.016804594546556473,
-0.0003868445346597582,
0.010574685409665108,
0.04610491171479225,
0.03745126351714134,
-0.02438102476298809,
0.04922884330153465,
0.05809793248772621,
0.03371690958738327,
0.02430921047925949,
-0.02438102476298809,
0.0012096255086362362,
-0.06581799685955048,
0.03167019784450531,
-0.02179570123553276,
0.061078235507011414,
0.04255009442567825,
-0.003965507261455059,
-0.019892618060112,
-0.005570112261921167,
-0.015009230934083462,
-0.03928253427147865,
0.047720737755298615,
-0.06574618071317673,
0.03520705923438072,
0.04728985205292702,
-0.04804390296339989,
0.028528312221169472,
0.03249606490135193,
-0.00019328200141899288,
-0.07799055427312851,
0.021562304347753525,
0.014398807659745216,
-0.0182588379830122,
0.0045198253355920315,
0.043555498123168945,
-0.016472451388835907,
0.037918057292699814,
0.03820531442761421,
-0.027738351374864578,
0.006808912847191095,
0.02037736587226391,
-0.049157027155160904,
-0.008141969330608845,
0.04728985205292702,
0.017836928367614746,
0.04624854028224945,
0.02465032786130905,
-0.0072981491684913635,
-0.003931844141334295,
0.017998510971665382,
-0.005044968798756599,
-0.016876408830285072,
-0.0019614335615187883,
0.058205656707286835,
-0.03138293698430061,
-0.03254992514848709,
-0.09027083218097687,
-0.01642756722867489,
-0.0012825621524825692,
0.04721803590655327,
0.04201148450374603,
-0.03705628588795662,
-0.06761335581541061,
0.006871750578284264,
-0.026409784331917763,
-0.05928287282586098,
0.03357328101992607,
0.013501127250492573,
0.0029241968877613544,
0.028779663145542145,
-0.08474111557006836,
0.011409529484808445,
0.005906742997467518,
-0.06531529128551483,
-0.024811910465359688,
-0.03533273562788963,
-0.022513847798109055,
0.010305381380021572,
-0.020413272082805634,
-0.035117290914058685,
-0.03206517547369003,
0.006036906968802214,
0.02096983604133129,
0.029856879264116287,
-0.000019899771359632723,
-0.0174778550863266,
-0.014479598961770535,
0.04420182853937149,
0.009632120840251446,
-0.048115719109773636,
-0.03071865439414978,
-0.032119035720825195,
-0.019030842930078506,
0.07167087495326996,
-0.004073228687047958,
-0.011229992844164371,
-0.004703850019723177,
0.005058434326201677,
-0.0318317785859108,
-0.006966006942093372,
-0.024614421650767326,
-0.021831609308719635,
-0.04197557643055916,
-0.011831440031528473,
0.0010783396428450942,
0.005929185077548027,
-0.0039251116104424,
0.013411358930170536,
0.06897783279418945,
0.07045003026723862,
-0.028079470619559288,
-0.014856625348329544,
-0.029246456921100616,
0.01730729639530182,
-0.0009582748170942068,
-0.023788554593920708,
-0.006952541880309582,
0.03050321154296398,
0.005031503736972809,
0.033142395317554474,
-0.008703020401299,
0.019892618060112,
-0.035117290914058685,
-0.010754222050309181,
0.0394979789853096,
-0.011005572974681854,
0.024416930973529816,
0.03924662619829178,
0.06825968623161316,
-0.005794532597064972,
-0.021885469555854797,
-0.03529682755470276,
-0.05127555504441261,
-0.025422334671020508,
-0.06290950626134872,
0.02357311174273491,
-0.06211954727768898,
-0.003801680402830243,
0.012190512381494045,
0.03632018715143204,
0.018438374623656273,
-0.022424079477787018,
-0.009115953929722309,
0.06043190509080887,
-0.02459646761417389,
-0.028151284903287888,
0.012720144353806973,
-0.045602209866046906,
-0.020790299400687218,
0.0016797861317172647,
-0.026661135256290436,
-0.007266730070114136,
-0.013160008005797863,
-0.050234246999025345,
0.02723565138876438,
0.031652241945266724,
-0.0024574026465415955,
-0.03877983242273331,
-0.07827781140804291,
0.03213699162006378,
-0.03237038850784302,
-0.06808014959096909,
0.008550414815545082,
0.03332192823290825,
-0.000588542316108942,
-0.05246049538254738,
-0.012962518259882927,
0.030413443222641945,
0.0396416075527668,
0.023214038461446762,
-0.0067370980978012085,
-0.003597457893192768,
0.014012805186212063,
-0.0006895314436405897,
-0.02465032786130905,
0.010359242558479309,
0.01212767418473959,
0.02289087325334549,
-0.000005522843821381684,
0.05601531267166138,
-0.013923036865890026,
0.0430527962744236,
0.03655358403921127,
-0.05741569772362709,
0.024057859554886818,
0.03159838169813156,
-0.039138905704021454,
-0.010960688814520836,
0.02956962212920189,
-0.0335373729467392,
0.020520994439721107,
-0.020880067721009254,
-0.0068358429707586765,
-0.03240629658102989,
-0.02574549987912178,
-0.010915804654359818,
0.04272963106632233,
-0.03649972006678581,
0.05429176613688469,
-0.005125760100781918,
-0.033627141267061234,
-0.03781033679842949,
-0.03152656555175781,
-0.056841179728507996,
-0.02895919792354107,
-0.017836928367614746,
-0.05274775251746178,
-0.001325202058069408,
-0.019174473360180855,
-0.0265713669359684,
-0.027576768770813942,
0.00093246647156775,
0.009766772389411926,
-0.06448942422866821,
0.028241053223609924,
0.009811656549572945,
-0.03603292629122734,
-0.0318317785859108,
0.011463390663266182,
-0.05141918361186981,
0.032729461789131165,
-0.0116878105327487,
-0.01845632679760456,
-0.040898360311985016,
-0.03235243260860443,
-0.10449010133743286,
0.043088704347610474,
-0.0009414432570338249,
-0.005597042851150036,
-0.000445754878455773,
0.042945072054862976,
0.04926475137472153,
0.015691468492150307,
0.019641267135739326,
0.04244237020611763,
-0.0041562644764781,
-0.04075473174452782,
0.006723633036017418,
-0.030431395396590233,
-0.059426501393318176,
0.05062922462821007,
-0.045530397444963455,
0.025871174409985542,
0.025907082483172417,
0.0013319345889613032,
0.028779663145542145,
0.027756305411458015,
-0.0069345878437161446,
-0.005682322662323713,
-0.015116953290998936,
0.04897749051451683,
0.029120782390236855,
-0.02800765633583069,
-0.014380854554474354,
-0.04994698613882065,
0.06438170373439789,
0.012118697166442871,
0.020736437290906906,
0.02730746567249298,
0.007320591248571873,
-0.008061178028583527,
-0.04851069673895836,
-0.0077694314531981945,
-0.0021376037038862705,
0.024021951481699944,
0.005000084638595581,
0.04176013544201851,
-0.029713250696659088,
-0.06204773113131523,
0.001634902087971568,
-0.0072038923390209675,
-0.02037736587226391,
0.024165580049157143,
-0.01814213953912258,
-0.014659135602414608,
0.025835268199443817,
0.00004292038647690788,
-0.04836706817150116,
-0.00585737032815814,
-0.01623905450105667,
-0.04890567809343338,
0.014407784678041935,
0.0394979789853096,
0.02561982348561287,
0.033950306475162506,
-0.00504048028960824,
0.06125777214765549,
0.00711861252784729,
0.014820718206465244,
0.003314688103273511,
-0.01365373283624649,
0.08423840999603271,
0.0123610720038414,
-0.005269389133900404,
0.0006833599181845784,
-0.06430988758802414,
0.015682492405176163,
0.04441726952791214,
-0.009946309030056,
-0.030664794147014618,
-0.012307210825383663,
-0.020808253437280655,
-0.003424654249101877,
0.030072323977947235,
-0.023519249632954597,
-0.035871345549821854,
-0.011418506503105164,
0.004499627742916346,
-0.009973239153623581,
0.008124016225337982,
-0.028079470619559288,
-0.05368134379386902,
0.011104317381978035,
-0.03596111387014389,
0.0019446021178737283,
0.01874358579516411,
-0.01650835946202278,
-0.04405819997191429,
-0.03161633387207985,
0.03895936906337738,
-0.0016865187790244818,
0.016705848276615143,
0.03928253427147865,
0.05504581704735756,
-0.012370048090815544,
-0.01574533060193062,
-0.0022318600676953793,
-0.05777476727962494,
-0.04965972900390625,
0.007437289692461491,
0.0265713669359684,
0.012756051495671272,
-0.0038129014428704977,
0.009461561217904091,
-0.008662624284625053,
0.0027760793454945087,
0.023806508630514145,
-0.07720059156417847,
-0.09400518238544464,
-0.006849308498203754,
-0.034435056149959564,
0.01638268306851387,
-0.04283735156059265,
0.045135416090488434,
-0.023860368877649307,
-0.0365176759660244,
0.006853796541690826,
0.004299893509596586,
0.04693077877163887,
0.00956928264349699,
-0.030413443222641945,
0.0052963197231292725,
-0.000052142659114906564,
-0.06840331852436066,
-0.037630800157785416,
-0.0007602238329127431,
-0.020179875195026398,
0.021544352173805237,
-0.0033326419070363045,
0.12309005856513977,
0.03755898401141167,
0.0005675029242411256,
-0.020556902512907982,
-0.03098795935511589,
-0.04556630179286003,
-0.011490320786833763,
0.03167019784450531,
0.050988297909498215,
0.007226334419101477,
0.026948392391204834,
0.0004272401856724173,
0.03676902502775192,
0.003918379079550505,
0.0132856834679842,
-0.018851308152079582,
0.01564658433198929,
0.015072069130837917,
0.009614166803658009,
-0.032675597816705704,
0.022513847798109055,
0.05576396360993385,
0.024811910465359688,
-0.029066920280456543,
-0.009632120840251446,
0.052280958741903305,
-0.04994698613882065,
0.03459663689136505,
0.053035009652376175,
-0.016607103869318962,
0.031777918338775635,
0.026822717860341072,
-0.0183306522667408,
0.05378906428813934,
0.007755966391414404,
-0.03262173756957054,
-0.048402976244688034,
-0.008218272589147091,
-0.03856438770890236,
0.007589895278215408,
-0.004212369676679373,
-0.033393744379282,
-0.0632326677441597,
0.027397233992815018,
-0.0174778550863266,
-0.01894107460975647,
-0.0029399062041193247,
-0.009273047558963299,
0.023824462667107582,
-0.0628017857670784,
0.005570112261921167,
-0.00833945907652378,
-0.03734354302287102,
0.021293001249432564,
0.04876204952597618,
0.022459985688328743,
-0.03086228296160698,
-0.005682322662323713,
0.001979387365281582,
-0.021275047212839127,
-0.0032608273904770613,
0.0012545096687972546,
-0.006387002300471067,
-0.006997425574809313,
-0.0063286530785262585,
-0.004237055778503418,
-0.012962518259882927,
-0.003438119310885668,
-0.00886011403053999,
0.02526075206696987,
-0.005332226864993572,
-0.010269474238157272,
-0.005161667708307505,
-0.0020579344127327204,
-0.017154689878225327,
0.03639199957251549,
0.04298098012804985,
0.026212293654680252,
0.01089785061776638,
-0.006925611291080713,
0.05504581704735756,
0.011903254315257072,
0.045063599944114685,
0.012181535363197327,
0.031257264316082,
0.022154774516820908,
0.0005618924042209983,
-0.023878322914242744,
-0.009820633567869663,
-0.041796039789915085,
0.01131078414618969,
-0.008954371325671673,
0.0329628586769104,
0.024973493069410324,
-0.005565624218434095,
-0.010655476711690426,
-0.0027379279490560293,
0.03456072881817818,
-0.017765112221240997,
0.004504115786403418,
0.022029099985957146,
-0.05199370160698891,
0.04405819997191429,
0.02398604527115822,
0.018905168399214745,
0.01594281941652298,
-0.02676885575056076,
-0.011194085702300072,
0.06197591871023178,
0.03086228296160698,
-0.0038488085847347975,
-0.021975237876176834,
0.00502252671867609,
-0.029066920280456543,
0.04183194786310196,
-0.0008466256549581885,
0.011212039738893509,
0.01650835946202278,
0.045674026012420654,
0.06341220438480377,
0.010260497219860554,
-0.0148835564032197,
0.044848158955574036,
-0.024776004254817963,
0.034022122621536255,
-0.0004003097419627011,
0.008213783614337444,
0.024632375687360764,
0.012064836919307709,
-0.027325419709086418,
0.0009773505153134465,
-0.03863620385527611,
0.005713741295039654,
-0.00868057832121849,
-0.02077234536409378,
-0.023788554593920708,
0.034237563610076904,
0.014793788082897663,
0.0022060517221689224,
0.005879812408238649,
-0.014569367282092571,
0.02105960249900818,
-0.04750529304146767,
0.0021970749367028475,
-0.04721803590655327,
0.03003641590476036,
-0.003070069942623377,
-0.007742501329630613,
0.004434545524418354,
-0.01798953302204609,
0.060108739882707596,
0.06369946897029877,
-0.037846244871616364,
0.014479598961770535,
0.0174778550863266,
0.05246049538254738,
-0.0044233244843780994,
-0.005094341468065977,
0.04136515408754349,
0.020826205611228943,
-0.010278451256453991,
0.0017213039100170135,
-0.01631086878478527,
-0.009299978613853455,
0.009282024577260017,
0.012747074477374554,
0.014569367282092571,
-0.023106316104531288,
-0.004057519603520632,
0.02037736587226391,
0.014003828167915344,
0.008168899454176426,
0.02466828189790249,
-0.03244220092892647,
-0.02513507567346096,
0.06391490995883942,
0.06125777214765549,
-0.019174473360180855,
0.020951882004737854,
0.0043515102006495,
0.04452499374747276,
-0.029713250696659088,
-0.01689436286687851,
-0.0140666663646698,
-0.008483088575303555,
0.005794532597064972,
-0.026876578107476234,
-0.02833082154393196,
-0.01331261359155178,
-0.0107991062104702,
-0.003518910612910986,
0.021616166457533836,
-0.005089852958917618,
-0.05576396360993385,
0.012010975740849972,
0.005462390836328268,
-0.021670026704669,
-0.010152775794267654,
0.011113294400274754,
0.022424079477787018,
0.012423909269273281,
0.013079216703772545,
-0.0028995105531066656,
0.006651818286627531,
0.001219724421389401,
0.03283718228340149,
0.01675073243677616,
0.013474196195602417,
0.014255179092288017,
0.05544079840183258,
-0.05217323824763298,
-0.039785236120224,
0.012208465486764908,
0.03242424875497818,
0.03556613251566887,
0.0314008928835392,
0.03748717159032822,
0.005273877643048763,
-0.052137330174446106,
-0.0040934267453849316,
0.003902669530361891,
-0.00026299257297068834,
-0.0010278450790792704,
0.020556902512907982,
-0.013779408298432827,
-0.07425619661808014,
0.005152690690010786,
0.016346776857972145,
0.01383326854556799,
-0.023124270141124725,
-0.03515319898724556,
0.013644755817949772,
0.013411358930170536,
-0.03215494379401207,
-0.058062028139829636,
-0.003509933827444911,
0.019030842930078506,
-0.05587168410420418,
0.04373503476381302,
0.040216121822595596,
0.0036670281551778316,
-0.005018038675189018,
-0.0007259997655637562,
-0.04129334166646004,
0.046894870698451996,
0.024273302406072617,
-0.0316881500184536,
-0.0016225589206442237,
0.0016999839572235942,
0.015790214762091637,
-0.0028434055857360363,
0.0003610361891333014,
0.034291427582502365,
-0.0393543466925621,
-0.0020467133726924658,
-0.01723548024892807,
-0.024003997445106506,
0.014704019762575626,
0.01894107460975647,
-0.0264277383685112,
0.003981216810643673,
-0.004275207407772541,
-0.005879812408238649,
0.05260412395000458,
-0.010179705917835236,
-0.003945309203118086,
0.006364560220390558,
-0.016131332144141197,
-0.013231822289526463,
-0.006490235682576895,
0.004842990543693304,
-0.021670026704669,
0.032729461789131165,
0.006202977616339922,
0.06596162170171738,
-0.017693297937512398,
-0.02867194078862667,
0.016050541773438454,
-0.0016461231280118227,
-0.00789959542453289,
0.03418370336294174,
-0.002551659010350704,
-0.016265984624624252,
0.026822717860341072,
-0.03400416672229767,
-0.03199336305260658,
-0.02220863476395607,
0.007464219816029072,
0.020467134192585945,
-0.023214038461446762,
0.011256923899054527,
-0.00376352877356112,
-0.002495554042980075,
0.0033909911289811134,
0.03820531442761421,
-0.02676885575056076,
-0.010063007473945618,
0.01947968453168869,
-0.011158178560435772,
0.040503378957509995,
-0.042191021144390106,
-0.01120306272059679,
-0.006808912847191095,
-0.005112295038998127,
-0.0231601782143116,
-0.011481343768537045,
-0.008352924138307571,
-0.015879983082413673,
-0.032244712114334106,
-0.03820531442761421,
0.008357413113117218,
-0.012648329138755798,
0.0335373729467392,
-0.0022946977987885475,
-0.04215511307120323,
-0.035314783453941345,
0.03719991445541382,
-0.015736352652311325,
-0.04531495273113251,
0.0019288926851004362,
-0.02377060055732727,
-0.04283735156059265,
0.0215982124209404,
-0.011786555871367455,
0.010413102805614471,
0.0072981491684913635,
-0.0662129744887352,
-0.026266155764460564,
0.04865432530641556,
0.014668112620711327,
0.04581765457987785,
-0.005332226864993572,
-0.0024012974463403225,
0.020951882004737854,
-0.050306059420108795,
0.022639522328972816,
-0.03179587051272392,
0.03285513445734978,
0.027540862560272217,
0.045889467000961304,
-0.01728036440908909,
0.017423994839191437,
0.0035548179876059294,
0.03834894672036171,
-0.016265984624624252,
-0.02064667083323002,
0.007293660659343004,
0.012343117967247963,
-0.0043515102006495,
0.023824462667107582,
-0.010071984492242336,
-0.01127487700432539,
0.011930184438824654,
0.023950137197971344,
0.017370132729411125,
-0.004497383255511522,
-0.0018458571285009384,
-0.006705679465085268,
-0.0035211548674851656,
0.03201131522655487,
0.01913856528699398,
-0.05181416496634483,
0.03037753514945507,
0.008083620108664036,
0.06158093735575676,
-0.026786809787154198,
0.03802578151226044,
-0.04025202989578247,
-0.002226249547675252,
-0.038995277136564255,
-0.03206517547369003,
-0.017863858491182327,
0.0008802887168712914,
-0.0012937831925228238,
0.013375451788306236,
0.00705128675326705,
-0.0032989787869155407,
0.00461408169940114,
0.0005035431240685284,
-0.04312460869550705,
-0.0020253935363143682,
0.007993851788341999,
-0.02165207266807556,
0.02439897693693638,
0.03953388333320618,
0.027271557599306107,
0.053286362439394,
0.017244458198547363,
-0.014255179092288017,
-0.018034417182207108,
0.0018099498702213168,
-0.08438204228878021,
-0.005278366152197123,
0.043842755258083344,
0.00000575515423406614,
0.012702190317213535,
-0.01835758239030838,
0.02915668860077858,
-0.04452499374747276,
-0.004533290397375822,
0.010152775794267654,
-0.007230822928249836,
-0.012037905864417553,
-0.039138905704021454,
0.033627141267061234,
-0.006238885223865509,
0.013563964515924454,
-0.007271218579262495,
0.009003743529319763,
-0.010583662427961826,
-0.0025314611848443747,
-0.03086228296160698,
-0.025386426597833633,
-0.013195915147662163,
0.0008881434332579374,
0.024237394332885742,
0.007567453198134899,
0.024021951481699944,
-0.04161650687456131,
-0.04176013544201851,
0.03396826237440109,
-0.02118527889251709,
0.021095510572195053,
-0.03982114419341087,
0.0030947562772780657,
0.05339408293366432,
-0.0184024665504694,
0.01604156568646431,
0.01675073243677616,
0.023106316104531288,
0.008833183906972408,
-0.0010598249500617385,
0.023609017953276634,
0.042945072054862976,
0.03996477276086807,
-0.0006474526599049568,
0.06413035094738007,
0.0033169323578476906,
0.004477185662835836,
-0.020556902512907982,
0.0030476280953735113,
0.011292831040918827,
-0.03788214921951294,
0.014677089639008045,
-0.025027355179190636,
0.001152398413978517,
-0.0099822161719203,
-0.058887895196676254,
0.002740172203630209,
0.0033999679144471884,
-0.009026185609400272,
0.035655900835990906,
0.00014909925812389702,
-0.0015832853969186544,
-0.01249572355300188,
-0.015862029045820236,
-0.03773852065205574,
0.012926611118018627,
-0.015260581858456135,
0.01933605596423149,
0.008815230801701546,
0.029838927090168,
0.02037736587226391,
-0.006916634272783995,
-0.03247810900211334,
-0.008783811703324318,
0.013590894639492035,
0.013914059847593307,
-0.055009908974170685,
-0.029102828353643417,
-0.03138293698430061,
0.0366613045334816,
0.028312867507338524,
-0.021149370819330215,
-0.020951882004737854,
-0.0034067004453390837,
-0.036212462931871414,
0.009650073945522308,
-0.019461730495095253,
-0.024776004254817963,
-0.021813655272126198,
0.010987618938088417,
-0.0030049881897866726,
-0.0125047005712986,
0.009685981087386608,
-0.03316034749150276,
-0.004261741880327463,
-0.03653562813997269,
-0.011391575448215008,
0.003433631034567952,
-0.025458240881562233,
0.017729206010699272,
-0.004439034033566713,
-0.0025898106396198273,
0.037020377814769745,
-0.04736166447401047,
-0.0075135924853384495,
0.0029466389678418636,
-0.0006093012052588165,
-0.026194339618086815,
0.030772514641284943,
0.026876578107476234,
0.005623973440378904,
-0.017450924962759018,
-0.014084619469940662,
0.0792832151055336,
0.010098914615809917,
-0.04912111908197403,
0.0460330955684185,
0.038384851068258286,
-0.03396826237440109,
-0.02608661912381649,
-0.005202063359320164,
-0.003581748344004154,
-0.007562965154647827,
-0.016230078414082527,
-0.055404890328645706,
0.01049389410763979,
-0.04502769559621811,
-0.013860199600458145,
0.013887129724025726,
0.005888789426535368,
0.0316881500184536,
-0.07062956690788269,
0.014704019762575626,
-0.03585338965058327
] |
We present a data-driven modeling and control framework for physics-based
building emulators. Our approach comprises: (a) Offline training of
differentiable surrogate models that speed up model evaluations, provide cheap
gradients, and have good predictive accuracy for the receding horizon in Model
Predictive Control (MPC) and (b) Formulating and solving nonlinear building
HVAC MPC problems. We extensively verify the modeling and control performance
using multiple surrogate models and optimization frameworks for different
available test cases in the Building Optimization Testing Framework (BOPTEST).
The framework is compatible with other modeling techniques and customizable
with different control formulations. The modularity makes the approach
future-proof for test cases currently in development for physics-based building
emulators and provides a path toward prototyping predictive controllers in
large buildings. | [
-0.02067759819328785,
-0.023818498477339745,
-0.04823027923703194,
-0.01449176762253046,
0.03577136993408203,
0.03810959681868553,
-0.05925833061337471,
0.030362041667103767,
-0.07147294282913208,
0.04889335855841637,
0.01010323129594326,
-0.024900363758206367,
0.003928307443857193,
0.004091896116733551,
-0.00797876063734293,
-0.0026435914915055037,
0.022108452394604683,
0.02383594773709774,
-0.004120251163840294,
-0.015093773603439331,
0.018618563190102577,
0.002547619631513953,
0.00010367426875745878,
0.02263193577528,
-0.00899519119411707,
0.006094220094382763,
-0.047881290316581726,
-0.011499186977744102,
-0.03685323894023895,
0.06044489145278931,
0.04669472575187683,
0.022946026176214218,
-0.04261155426502228,
0.01610584184527397,
-0.043867915868759155,
-0.026505714282393456,
0.00040106469532474875,
0.011420664377510548,
0.004403804894536734,
0.06271331757307053,
0.015905173495411873,
-0.02683725394308567,
-0.030100300908088684,
-0.028233209624886513,
0.006752937100827694,
0.022492339834570885,
-0.0251621063798666,
-0.008284126408398151,
-0.0005954624502919614,
0.03877267614006996,
0.001070959959179163,
-0.08103524148464203,
0.06267841905355453,
-0.0029206015169620514,
-0.015076324343681335,
0.014823307283222675,
0.05433758720755577,
0.08920158445835114,
0.04474039003252983,
0.049172546714544296,
0.021078934893012047,
-0.01515484694391489,
-0.027639927342534065,
-0.03280496597290039,
0.03207208961248398,
-0.016289060935378075,
0.02875669300556183,
-0.006342874839901924,
0.04624104127287865,
-0.02758757956326008,
-0.03491634875535965,
-0.014849481172859669,
-0.059363026171922684,
-0.002866072114557028,
0.029402323067188263,
-0.011281069368124008,
0.025563443079590797,
0.027552681043744087,
0.039854541420936584,
-0.017135359346866608,
0.04013373330235481,
0.016411207616329193,
-0.03381703421473503,
0.005426778923720121,
0.049207448959350586,
-0.048125579953193665,
-0.025336600840091705,
-0.07705676555633545,
0.04303034394979477,
-0.011708580888807774,
-0.027605028823018074,
0.00533516937866807,
-0.0006450843065977097,
0.0023796686436980963,
-0.05765298008918762,
0.04306524246931076,
-0.028896288946270943,
0.0029642251320183277,
-0.02910568192601204,
-0.03584117069840431,
0.0001924892421811819,
0.02702919766306877,
0.018112529069185257,
0.026697658002376556,
-0.009920012205839157,
-0.057129498571157455,
-0.023975543677806854,
0.033485494554042816,
0.02367890253663063,
0.08019766956567764,
-0.03552708029747009,
-0.028041265904903412,
0.025336600840091705,
-0.008668013848364353,
-0.025458747521042824,
-0.003230329370126128,
-0.053814101964235306,
-0.07789434492588043,
0.061387162655591965,
-0.03254322335124016,
0.06030529737472534,
0.07147294282913208,
0.042890746146440506,
-0.00024838201352395117,
-0.038249194622039795,
0.010434770956635475,
0.03748141601681709,
-0.03741161897778511,
0.0604797899723053,
0.001869272324256599,
0.016376309096813202,
0.0030252982396632433,
-0.009989810176193714,
-0.031426459550857544,
0.013549497351050377,
-0.0020797562319785357,
0.08752644062042236,
0.014474318362772465,
-0.00343317911028862,
-0.017030661925673485,
-0.00828848872333765,
-0.022806430235505104,
-0.013549497351050377,
-0.012511255219578743,
0.012441457249224186,
-0.014107880182564259,
-0.003806161228567362,
0.03226403146982193,
-0.012790446169674397,
-0.004259846638888121,
-0.09059754014015198,
0.02617417462170124,
-0.04411220923066139,
0.06896022707223892,
0.038912273943424225,
-0.018862854689359665,
-0.01496290322393179,
-0.020276259630918503,
-0.03639955073595047,
-0.02285877801477909,
0.04498467966914177,
0.011534086428582668,
0.03151370584964752,
0.06292271614074707,
0.0417390838265419,
-0.03304925560951233,
0.03287476301193237,
0.004325282294303179,
-0.03933105990290642,
0.02219570055603981,
-0.029367422685027122,
-0.027064096182584763,
-0.00037270932807587087,
0.05782747641205788,
-0.06054959073662758,
0.04132029786705971,
0.05329061672091484,
-0.027552681043744087,
-0.013558221980929375,
0.02345206029713154,
-0.01627161167562008,
-0.024481577798724174,
0.042157869786024094,
0.04069211706519127,
0.08487412333488464,
0.07056557387113571,
0.0282855574041605,
0.033485494554042816,
0.043518926948308945,
-0.04693901911377907,
0.02285877801477909,
0.012354210019111633,
0.01131596788764,
0.009736793115735054,
0.019997069612145424,
-0.05203425884246826,
-0.01470988616347313,
0.007712656632065773,
-0.015050150454044342,
0.04128539562225342,
-0.015242094174027443,
-0.03254322335124016,
-0.0316009521484375,
-0.0005057613598182797,
0.019473586231470108,
0.0354921817779541,
0.019211843609809875,
0.02664530836045742,
0.024987611919641495,
-0.05259263888001442,
0.029192928224802017,
-0.0054093291983008385,
-0.008253589272499084,
-0.06641260534524918,
0.03074592910706997,
-0.033921729773283005,
-0.027727175503969193,
-0.023469509556889534,
-0.04191357642412186,
-0.016716573387384415,
-0.002824629656970501,
-0.00014204942272044718,
-0.02652316354215145,
-0.035945866256952286,
0.010120680555701256,
0.02664530836045742,
0.05137117952108383,
0.03170565143227577,
0.021899059414863586,
-0.013235406950116158,
-0.011307243257761002,
-0.003932669758796692,
0.03797000274062157,
-0.012633400969207287,
0.010687788017094135,
0.06309720873832703,
0.01223206426948309,
0.011830726638436317,
0.03737672045826912,
0.011298518627882004,
-0.03364253789186478,
-0.00014722972991876304,
-0.014701161533594131,
-0.010591816157102585,
-0.005095239263027906,
-0.01191797386854887,
-0.017231332138180733,
0.07677757740020752,
0.0370626300573349,
-0.004811685532331467,
-0.0522785522043705,
-0.011996496468782425,
-0.004973093047738075,
0.005007992032915354,
0.02380104921758175,
0.036225058138370514,
0.03566667437553406,
-0.022876227274537086,
0.014622638933360577,
-0.045194074511528015,
0.03964515030384064,
0.03720222786068916,
0.027098994702100754,
0.03530023619532585,
-0.046206142753362656,
-0.01568705588579178,
0.040168631821870804,
0.04041292518377304,
0.00021266516705509275,
0.08326876908540726,
0.0316009521484375,
-0.028425153344869614,
-0.03214188665151596,
-0.023103071376681328,
0.044565893709659576,
-0.07356687635183334,
0.00028437149012461305,
-0.008694187738001347,
0.033223751932382584,
0.012554879300296307,
-0.030519086867570877,
-0.017807163298130035,
0.030990222468972206,
0.0007988575962372124,
-0.05723419412970543,
-0.02692450024187565,
0.00281372363679111,
-0.016646774485707283,
-0.016751471906900406,
-0.030519086867570877,
-0.023591656237840652,
-0.004185686819255352,
-0.047532301396131516,
0.07245011627674103,
0.024429230019450188,
0.022928576916456223,
-0.04107600450515747,
-0.04791618883609772,
0.04973093047738075,
0.009963635355234146,
0.005570736713707447,
0.043518926948308945,
0.032752618193626404,
0.02465607225894928,
-0.04571755602955818,
0.02048565447330475,
0.02371380105614662,
-0.02387084625661373,
-0.010094506666064262,
0.01499780174344778,
0.030711030587553978,
0.003249960020184517,
-0.018287023529410362,
-0.049172546714544296,
-0.014291099272668362,
0.048160482197999954,
0.018007831647992134,
0.022370195016264915,
-0.06355089694261551,
-0.01272064819931984,
-0.0016882342752069235,
0.027727175503969193,
-0.06791325658559799,
0.005902276374399662,
0.059397924691438675,
-0.03905186802148819,
-0.0257553867995739,
0.0033372072502970695,
0.046206142753362656,
0.015704505145549774,
-0.012441457249224186,
-0.03311905637383461,
-0.04693901911377907,
-0.019630631431937218,
0.025249352678656578,
-0.023242667317390442,
-0.01622798852622509,
-0.014465593732893467,
-0.08766603469848633,
-0.004102801904082298,
-0.017144083976745605,
-0.05552414804697037,
0.0065871672704815865,
-0.00673984969034791,
0.01709173619747162,
-0.04871886223554611,
0.004706989042460918,
-0.025964781641960144,
-0.02149772085249424,
0.009666995145380497,
0.0009406344033777714,
-0.03720222786068916,
0.004877121187746525,
0.031775448471307755,
0.06013080105185509,
-0.02329501509666443,
0.011778377927839756,
-0.017606494948267937,
-0.04491488263010979,
0.05063830316066742,
0.01273809839040041,
-0.03165329992771149,
-0.005845565348863602,
0.011176371946930885,
-0.09318006038665771,
0.041494790464639664,
0.03748141601681709,
-0.07873191684484482,
0.04093640670180321,
0.03128686174750328,
-0.014134054072201252,
0.030170097947120667,
0.038528382778167725,
0.026750005781650543,
-0.018636012449860573,
0.019630631431937218,
0.011342141777276993,
-0.004366724751889706,
-0.06637770682573318,
0.04072701558470726,
-0.041564587503671646,
0.012851519510149956,
-0.016175638884305954,
-0.01505887508392334,
-0.026854703202843666,
0.0573388896882534,
0.0222305990755558,
-0.0228238794952631,
0.00033044893643818796,
0.018304472789168358,
0.05356980860233307,
-0.0004250576894264668,
-0.014954178594052792,
-0.036294855177402496,
0.03643444925546646,
-0.02610437572002411,
0.01884540542960167,
-0.0030972773674875498,
0.003077646717429161,
0.013034738600254059,
-0.01318305917084217,
-0.056745611131191254,
-0.0526624396443367,
0.026034578680992126,
-0.02285877801477909,
-0.0072895074263215065,
0.013819963671267033,
-0.056745611131191254,
0.022771531715989113,
0.05007991939783096,
-0.013802514411509037,
-0.022091003134846687,
0.011193822138011456,
0.00011669319064822048,
0.017109185457229614,
0.021009137853980064,
-0.018042730167508125,
0.022597037255764008,
0.012799170799553394,
-0.013174334540963173,
0.0467994250357151,
0.023469509556889534,
-0.0007154274499043822,
-0.00530463270843029,
0.04927724599838257,
0.0643884688615799,
-0.016960864886641502,
-0.014230025932192802,
-0.035055942833423615,
0.04191357642412186,
0.026383567601442337,
0.009675719775259495,
-0.013008564710617065,
-0.05238324776291847,
-0.008598215878009796,
0.03561432659626007,
-0.009806590154767036,
0.021393025293946266,
-0.020066866651177406,
-0.013924661092460155,
-0.00978914089500904,
-0.03194994106888771,
-0.0027635565493255854,
-0.01907224766910076,
0.03831899166107178,
0.0010153398616239429,
-0.0542328879237175,
-0.016393758356571198,
-0.028111062943935394,
-0.028931187465786934,
-0.06044489145278931,
-0.002567250281572342,
-0.07915069907903671,
-0.023609105497598648,
-0.02235274389386177,
-0.010993152856826782,
0.04163438454270363,
0.014107880182564259,
0.03933105990290642,
-0.034741852432489395,
-0.006709313485771418,
0.021427923813462257,
0.011036776937544346,
-0.01938633807003498,
0.007062664721161127,
0.03835389018058777,
-0.023277565836906433,
-0.03324120119214058,
-0.023277565836906433,
0.01318305917084217,
0.004002467263489962,
-0.006622066255658865,
-0.0009079166920855641,
0.023347362875938416,
0.012886418029665947,
0.027570130303502083,
-0.056152328848838806,
-0.05922343209385872,
0.042855847626924515,
-0.0467994250357151,
0.019997069612145424,
-0.0009575385483913124,
0.07077496498823166,
-0.02777952328324318,
-0.004467058926820755,
0.037621013820171356,
0.03050163760781288,
-0.004176961723715067,
0.008380098268389702,
0.03167074918746948,
-0.01872325874865055,
-0.03320630267262459,
0.007254608441144228,
-0.004855309147387743,
-0.02161986753344536,
0.029594266787171364,
0.058769743889570236,
0.03639955073595047,
0.06738977134227753,
0.023748701438307762,
-0.0014799314085394144,
-0.03055398538708687,
-0.010731411166489124,
-0.031618401408195496,
-0.020572900772094727,
0.012005221098661423,
0.028180859982967377,
-0.0006243631360121071,
-0.006421397440135479,
-0.001443941961042583,
0.03268281742930412,
0.03058888390660286,
0.027709726244211197,
-0.023190317675471306,
0.024324532598257065,
-0.004519407171756029,
0.011342141777276993,
-0.0049643684178590775,
0.02235274389386177,
0.013200508430600166,
0.009797865524888039,
0.004794236272573471,
-0.004728800617158413,
0.03311905637383461,
-0.04194847494363785,
0.02332991361618042,
-0.010216652415692806,
-0.033380795270204544,
0.08996935933828354,
-0.00027237500762566924,
0.0032368728425353765,
0.04334443062543869,
-0.041215598583221436,
-0.07105416059494019,
-0.031217064708471298,
-0.035439830273389816,
-0.02676745504140854,
0.05531475320458412,
0.008689825423061848,
-0.04543836787343025,
-0.06023550033569336,
0.008668013848364353,
0.043204836547374725,
0.009143511764705181,
0.00524792168289423,
-0.03147880733013153,
0.028407704085111618,
-0.006504282355308533,
0.022614486515522003,
0.015102498233318329,
0.0018114709528163075,
-0.004563031252473593,
0.016454830765724182,
0.038249194622039795,
-0.03709752857685089,
-0.049207448959350586,
-0.0169695895165205,
-0.03139156103134155,
0.005518388468772173,
-0.016332684084773064,
-0.009466325864195824,
-0.016472280025482178,
-0.04460079222917557,
-0.0026130550540983677,
-0.004185686819255352,
-0.0021211986895650625,
0.00004764517507283017,
0.009413978084921837,
0.02784932218492031,
0.02020646259188652,
-0.015338066034018993,
0.0006788926548324525,
-0.011813277378678322,
0.01580047607421875,
0.0046895393170416355,
0.0049600061029195786,
0.05255774036049843,
-0.05168526992201805,
-0.029384871944785118,
0.016166914254426956,
0.008537143468856812,
0.007115012966096401,
0.002972949994727969,
0.043484028428792953,
0.059048935770988464,
0.00797876063734293,
0.012275687418878078,
-0.04802088439464569,
0.007424740586429834,
-0.02551109530031681,
0.029698962345719337,
0.021707115694880486,
0.008650564588606358,
-0.0029838557820767164,
-0.03058888390660286,
-0.021584969013929367,
-0.029158029705286026,
-0.0034789838828146458,
0.06334149837493896,
-0.05363960936665535,
-0.02793656848371029,
-0.012589777819812298,
-0.006879445631057024,
0.03681833669543266,
-0.010940805077552795,
0.004198773764073849,
0.00934418011456728,
-0.007293869741261005,
0.02446412853896618,
-0.012624676339328289,
-0.017641393467783928,
0.010522018186748028,
0.010966978967189789,
-0.05988651141524315,
0.031967390328645706,
0.018740708008408546,
-0.004746250342577696,
0.021166183054447174,
0.03222913295030594,
-0.007682119961827993,
0.014387071132659912,
-0.01662060059607029,
0.014160227961838245,
-0.007005954161286354,
-0.018827956169843674,
0.034776750952005386,
-0.0013643287820741534,
-0.05486106872558594,
-0.014116604812443256,
-0.008977741934359074,
-0.05374430492520332,
0.02086954191327095,
-0.02512720786035061,
-0.012258238159120083,
0.06044489145278931,
0.00953612383455038,
-0.021427923813462257,
0.05322081968188286,
-0.010565641336143017,
0.050149716436862946,
-0.0014559384435415268,
0.017213881015777588,
-0.014011908322572708,
0.04114580154418945,
-0.013549497351050377,
0.0010775035480037332,
-0.006251265294849873,
0.012799170799553394,
0.05828116089105606,
0.047113511711359024,
-0.013802514411509037,
-0.020852092653512955,
0.01127234473824501,
0.056466419249773026,
-0.014474318362772465,
-0.02582518570125103,
-0.012389109469950199,
0.006888170260936022,
-0.012886418029665947,
0.009666995145380497,
0.008122718892991543,
0.01747562363743782,
0.022841328755021095,
0.011900524608790874,
0.005256646778434515,
-0.030414389446377754,
0.022405093535780907,
0.05063830316066742,
0.022492339834570885,
0.08724724501371384,
0.009963635355234146,
0.0066438778303563595,
-0.028564749285578728,
0.04575245454907417,
0.015442762523889542,
-0.03283986449241638,
0.03507339209318161,
0.044216904789209366,
-0.009614646434783936,
-0.014134054072201252,
-0.031025120988488197,
0.011464288458228111,
-0.025772836059331894,
-0.0019096240866929293,
-0.02875669300556183,
-0.02263193577528,
-0.014797133393585682,
-0.021166183054447174,
-0.003204155247658491,
-0.0071760863065719604,
-0.0546167753636837,
-0.01299111545085907,
-0.0016413388075307012,
-0.024551374837756157,
-0.027954017743468285,
-0.010801209136843681,
0.011586434207856655,
-0.016210539266467094,
0.038598183542490005,
0.0028682532720267773,
0.006233816035091877,
0.009841489605605602,
-0.02345206029713154,
0.05063830316066742,
0.04959133639931679,
-0.019962169229984283,
0.017423275858163834,
-0.03639955073595047,
-0.032473426312208176,
-0.022213149815797806,
0.0043143765069544315,
0.014989077113568783,
0.010574365966022015,
0.01226696278899908,
0.05168526992201805,
-0.016219263896346092,
0.012415283359587193,
-0.026069477200508118,
0.011682406067848206,
0.049835626035928726,
0.055140260607004166,
-0.017842061817646027,
-0.04313503950834274,
-0.06962330639362335,
0.0005627447389997542,
0.02629631944000721,
-0.0014406702248379588,
-0.037900205701589584,
0.010225377045571804,
-0.013331379741430283,
0.022754082456231117,
-0.053500011563301086,
-0.05370940640568733,
0.005732144229114056,
0.021201081573963165,
-0.01455284096300602,
0.011996496468782425,
0.04599674791097641,
-0.015748128294944763,
-0.010487118735909462,
0.018862854689359665,
-0.005274096038192511,
-0.009335455484688282,
0.006604616530239582,
0.009431427344679832,
0.04501957818865776,
0.031304311007261276,
-0.012528704479336739,
0.030990222468972206,
-0.0460316464304924,
0.043553825467824936,
-0.02758757956326008,
-0.012144817039370537,
-0.04491488263010979,
-0.035596877336502075,
0.024900363758206367,
-0.0057932171039283276,
-0.004475783556699753,
0.011795828118920326,
-0.011219996027648449,
0.002052491530776024,
0.025179555639624596,
0.019560832530260086,
0.015748128294944763,
0.011691130697727203,
-0.012336760759353638,
-0.002458191243931651,
0.013104536570608616,
0.016681673005223274,
-0.01837426982820034,
0.05273223668336868,
0.0390169695019722,
0.01382868830114603,
-0.02278898097574711,
-0.019787674769759178,
0.027413085103034973,
0.005649259313941002,
0.03943575546145439,
-0.005143225193023682,
0.04561286047101021,
-0.016550803557038307,
-0.04969603195786476,
0.004231491591781378,
0.025179555639624596,
-0.005400604568421841,
0.045822255313396454,
0.018444068729877472,
-0.022614486515522003,
0.020450754091143608,
0.03397407755255699,
0.0009853485971689224,
0.006028784904628992,
0.01343607623130083,
0.027639927342534065,
0.02652316354215145,
-0.006674414500594139,
-0.057094600051641464,
0.017336027696728706,
-0.027395635843276978,
-0.0004144244303461164,
0.020764844492077827,
0.018042730167508125,
0.005919725634157658,
-0.007019041106104851,
-0.0030383854173123837,
-0.008668013848364353,
-0.031147267669439316,
-0.057094600051641464,
-0.013994458131492138,
0.021044036373496056,
-0.003529151203110814,
-0.007695207372307777,
0.006530456244945526,
-0.038249194622039795,
0.01665549911558628,
-0.03273516893386841,
0.021078934893012047,
0.05217385292053223,
0.029384871944785118,
-0.04079681262373924,
-0.013348829001188278,
-0.05356980860233307,
0.035631775856018066,
0.024429230019450188,
0.01363674458116293,
-0.02064269781112671,
-0.045543063431978226,
0.02819831110537052,
0.022457441315054893,
0.018077628687024117,
0.03601566329598427,
0.032368727028369904,
-0.03526533767580986,
0.008039833977818489,
-0.048125579953193665,
-0.033729784190654755,
-0.0020546726882457733,
0.060409992933273315,
-0.02437688037753105,
-0.02648826502263546,
-0.009771691635251045,
-0.014631363563239574,
-0.0358760692179203,
-0.03280496597290039,
0.009771691635251045,
0.013139435090124607,
0.011089124716818333,
0.022684283554553986,
-0.029559366405010223,
0.009230758994817734,
0.020189013332128525,
0.03491634875535965,
0.05220875144004822,
0.03498614579439163,
-0.03441031277179718,
-0.011089124716818333,
0.024638622999191284,
0.040168631821870804,
-0.013532048091292381,
-0.005016716662794352,
-0.0030514723621308804,
-0.026889601722359657,
0.05835095793008804,
0.020380957052111626,
0.0165769774466753,
0.023574206978082657,
0.03261302039027214,
-0.011219996027648449,
-0.04435649886727333,
-0.04774169251322746,
-0.005649259313941002,
0.037900205701589584,
0.019368888810276985,
0.029070783406496048,
0.028041265904903412,
0.0006952515104785562,
0.013837412931025028,
-0.007503263186663389,
0.03406132385134697,
-0.007424740586429834,
0.0007056121248751879,
0.041494790464639664,
0.02184670977294445,
0.018897753208875656,
0.052453044801950455,
0.034392863512039185,
-0.034584809094667435,
-0.012040120549499989,
-0.03402642533183098,
-0.050114817917346954,
0.0037625376135110855,
0.046171244233846664,
-0.01610584184527397,
-0.03172310069203377,
0.02032860927283764,
0.004022098146378994,
-0.035439830273389816,
-0.0032106987200677395,
-0.01414277870208025,
0.048439670354127884,
-0.023626554757356644,
-0.032438527792692184,
-0.005418053828179836,
0.004706989042460918,
0.052104055881500244,
-0.01019920315593481,
0.03109491802752018,
-0.0028900650795549154,
0.027360737323760986,
-0.01682126894593239,
-0.060724083334207535,
-0.004807323217391968,
0.02348695881664753,
0.038528382778167725,
0.010015984065830708,
0.03418347239494324,
-0.016175638884305954,
-0.007398566696792841,
0.05922343209385872,
-0.005588185973465443,
0.013898486271500587,
-0.04076191410422325,
0.02948956936597824,
0.03156605362892151,
-0.04952153563499451,
0.022649385035037994,
0.021044036373496056,
0.046520233154296875,
-0.011438113637268543,
0.04924234747886658,
0.0008801065851002932,
0.013741441071033478,
0.039261262863874435,
-0.050498705357313156,
0.052453044801950455,
0.03324120119214058,
-0.0004784966295119375,
-0.007263333536684513,
0.04540346562862396,
-0.022457441315054893,
-0.0335378423333168,
-0.039610251784324646,
-0.0013599664671346545,
0.004881483502686024,
0.008886132389307022,
-0.023556755855679512,
0.011499186977744102,
0.053814101964235306,
-0.03428816795349121,
-0.05465167388319969,
0.0034833464305847883,
-0.01564343087375164,
-0.009832764975726604,
0.004837859887629747,
0.004251122009009123,
0.008986466564238071,
-0.02465607225894928,
0.008676738478243351,
-0.024795668199658394,
0.03605056181550026,
0.013104536570608616,
-0.0007961311494000256,
-0.07279910147190094,
-0.02586008422076702,
0.007594872731715441,
0.01865346170961857,
-0.06609851121902466,
-0.0049469186924397945,
-0.021427923813462257,
-0.009195859543979168,
-0.0008795612957328558,
-0.006997229065746069,
0.030920423567295074,
-0.02882649004459381,
-0.017536696046590805,
-0.021009137853980064,
0.005719056818634272,
0.0027810060419142246,
-0.0004277841653674841,
0.0027853683568537235,
0.05650131776928902,
-0.012650851160287857,
0.05091749504208565,
0.003974112216383219,
0.04467058926820755,
-0.00803547166287899,
-0.014465593732893467,
-0.008044196292757988,
-0.034148573875427246,
-0.019787674769759178,
-0.019246742129325867,
0.0067747486755251884,
0.03409622237086296,
-0.03280496597290039,
-0.034811653196811676,
-0.04575245454907417,
0.023940645158290863,
-0.009675719775259495,
0.047881290316581726,
-0.021235980093479156,
0.04498467966914177,
0.005339531693607569,
-0.04941684007644653,
0.05451207980513573,
0.035561978816986084,
0.022213149815797806,
0.002846441464498639,
0.021672215312719345,
-0.02976876124739647,
0.0378304049372673,
-0.05583823844790459,
-0.03460225835442543,
0.009099887683987617,
-0.01135086640715599,
-0.011699856258928776,
0.019805125892162323,
0.006081133149564266,
0.004074446391314268,
0.011647507548332214,
-0.04610144719481468,
0.03995924070477486,
-0.04575245454907417,
0.03685323894023895,
-0.010277725756168365
] |
Variational quantum algorithms represent a promising approach to quantum
machine learning where classical neural networks are replaced by parametrized
quantum circuits. However, both approaches suffer from a clear limitation, that
is a lack of interpretability. Here, we present a variational method to
quantize projective simulation (PS), a reinforcement learning model aimed at
interpretable artificial intelligence. Decision making in PS is modeled as a
random walk on a graph describing the agent's memory. To implement the
quantized model, we consider quantum walks of single photons in a lattice of
tunable Mach-Zehnder interferometers trained via variational algorithms. Using
an example from transfer learning, we show that the quantized PS model can
exploit quantum interference to acquire capabilities beyond those of its
classical counterpart. Finally, we discuss the role of quantum interference for
training and tracing the decision making process, paving the way for
realizations of interpretable quantum learning agents. | [
-0.025460274890065193,
-0.02067672461271286,
-0.041665419936180115,
0.05934375897049904,
0.02804270014166832,
0.010052389465272427,
0.031197069212794304,
0.02565092407166958,
-0.020624728873372078,
0.0461370013654232,
0.011014298535883427,
0.0004863709909841418,
0.07002008706331253,
-0.041041478514671326,
-0.01783432438969612,
0.008423209190368652,
-0.026690825819969177,
0.022201914340257645,
-0.02825067937374115,
-0.0031478710006922483,
0.0020548903848975897,
-0.00025916314916685224,
-0.0417000837624073,
-0.05098987743258476,
0.05948241427540779,
0.009948398917913437,
-0.021837949752807617,
0.008735179901123047,
-0.0931752473115921,
0.08464805036783218,
-0.024888329207897186,
0.03577264025807381,
0.000897998979780823,
-0.007339977193623781,
-0.0018772403709590435,
-0.0009099145536310971,
0.034299444407224655,
-0.03951628878712654,
-0.05085122212767601,
0.04901406168937683,
0.0010983968386426568,
0.0030742113012820482,
0.04014023020863533,
-0.03878835588693619,
-0.0028770631179213524,
0.01748768985271454,
-0.05386694148182869,
-0.03093709424138069,
-0.024576358497142792,
-0.02402174286544323,
0.002699413103982806,
-0.024507030844688416,
0.05605073645710945,
0.013570724986493587,
-0.0024004410952329636,
-0.0006710619782097638,
0.032583605498075485,
-0.007409303914755583,
0.05469886213541031,
-0.024455036967992783,
0.023917753249406815,
0.013319415971636772,
-0.1088431105017662,
-0.006564383395016193,
0.001349706551991403,
-0.025286957621574402,
0.007374640554189682,
-0.016127152368426323,
0.012184188701212406,
-0.03708985075354576,
-0.03088509850203991,
-0.0010139048099517822,
-0.021023359149694443,
-0.023675110191106796,
0.04648363217711449,
0.045894354581832886,
0.006226415280252695,
0.03345018997788429,
-0.010944971814751625,
0.0004695809038821608,
-0.002229290548712015,
0.03315555304288864,
-0.012634812854230404,
-0.010520345531404018,
0.059794384986162186,
-0.043849214911460876,
0.0186315830796957,
-0.05528813973069191,
-0.0013507897965610027,
-0.002768739825114608,
-0.044889118522405624,
0.012149525806307793,
-0.005143183749169111,
-0.0009602847858332098,
-0.00007596161594847217,
-0.030451806262135506,
-0.019948793575167656,
-0.00536849582567811,
0.04391854256391525,
-0.02807736210525036,
0.03152637183666229,
-0.026482846587896347,
0.022947177290916443,
0.025061646476387978,
0.04499310627579689,
-0.08249891549348831,
-0.07508094608783722,
0.011568913236260414,
0.03937763348221779,
0.1032276377081871,
0.0008053826750256121,
0.007729940582066774,
-0.06371135264635086,
0.008098239079117775,
-0.049326032400131226,
-0.030607791617512703,
-0.016231141984462738,
-0.0443691648542881,
-0.007383306510746479,
-0.05015795677900314,
0.00899515487253666,
0.10662465542554855,
0.020018119364976883,
-0.009333123452961445,
-0.0420120544731617,
0.02851065620779991,
-0.011057628318667412,
0.01498325914144516,
0.03473273664712906,
0.023207154124975204,
-0.022409895434975624,
-0.023536456748843193,
-0.01312010083347559,
-0.04925670847296715,
0.017357703298330307,
-0.054005593061447144,
0.005602473858743906,
0.0010436936281621456,
0.002413440030068159,
-0.03398747369647026,
0.026968132704496384,
-0.05892779678106308,
0.027002796530723572,
-0.021993933245539665,
0.020434081554412842,
0.0033991807140409946,
-0.00005531251372303814,
0.047072913497686386,
-0.022253910079598427,
0.01925552450120449,
-0.03142238035798073,
0.0458596907556057,
-0.023345807567238808,
0.03629259020090103,
0.04634498059749603,
0.0452704131603241,
0.005745460279285908,
0.01649111695587635,
0.03117973729968071,
-0.04863276705145836,
-0.0009814078221097589,
-0.016881080344319344,
-0.014723284170031548,
0.08201362937688828,
0.047939497977495193,
0.04624098911881447,
0.028441328555345535,
-0.020122110843658447,
-0.0024654350709170103,
0.026881475001573563,
0.015962500125169754,
0.07036672532558441,
-0.030573127791285515,
0.02866664156317711,
0.010762989521026611,
0.03055579587817192,
0.04412652179598808,
-0.021907275542616844,
-0.06915350258350372,
-0.00519084557890892,
-0.05306968092918396,
0.021751290187239647,
0.023120494559407234,
0.057610590010881424,
0.06114625558257103,
0.035807304084300995,
0.07771536707878113,
0.028562650084495544,
0.022531216964125633,
-0.010329696349799633,
0.017435695976018906,
0.030607791617512703,
0.01443731039762497,
-0.008852168917655945,
0.054144248366355896,
-0.03792177140712738,
-0.008561862632632256,
-0.005013195797801018,
-0.0307637769728899,
0.042497340589761734,
-0.011629574000835419,
-0.0878370851278305,
0.018388940021395683,
-0.005494150798767805,
0.0127214714884758,
-0.00826289039105177,
-0.009601764380931854,
-0.043675899505615234,
0.01975814439356327,
-0.03507937118411064,
0.005585141945630312,
-0.033207546919584274,
0.012192854657769203,
-0.03247961774468422,
-0.03871902823448181,
-0.018180958926677704,
-0.009185804054141045,
-0.031162407249212265,
-0.03729782998561859,
-0.01627447083592415,
-0.0028207350987941027,
0.02247922122478485,
0.04946468770503998,
-0.014887934550642967,
-0.031023751944303513,
0.002014810685068369,
-0.030815772712230682,
0.008024579845368862,
-0.032080985605716705,
0.013007445260882378,
0.004159609321504831,
0.018891558051109314,
0.05081656202673912,
0.0029940521344542503,
0.04270532354712486,
0.010996966622769833,
-0.006503722630441189,
0.004683893173933029,
0.02511364035308361,
-0.029533226042985916,
-0.02955055795609951,
-0.017106393352150917,
0.007209989242255688,
0.020486075431108475,
0.04034820944070816,
0.01716705411672592,
-0.0068806870840489864,
0.013111434876918793,
0.05754126235842705,
0.02159530483186245,
-0.050573915243148804,
0.003659156383946538,
-0.006044432055205107,
-0.07265450805425644,
-0.04884074628353119,
-0.008236893452703953,
0.029533226042985916,
-0.01578051783144474,
-0.03284358233213425,
-0.024767007678747177,
0.040278881788253784,
0.02046874351799488,
0.03312088921666145,
0.03556466102600098,
-0.04845944792032242,
0.02523496374487877,
0.056778665632009506,
-0.045721039175987244,
0.001936818123795092,
0.026517508551478386,
-0.028233347460627556,
-0.03150904178619385,
-0.05747193470597267,
-0.011144286952912807,
0.005502816289663315,
-0.06017567962408066,
0.015806514769792557,
0.03306889533996582,
-0.018527593463659286,
-0.009090479463338852,
-0.013111434876918793,
-0.04069484397768974,
-0.043710559606552124,
-0.009740418754518032,
-0.006590380799025297,
-0.060037028044462204,
-0.03419545292854309,
0.014454642310738564,
-0.08901564031839371,
0.0010231122141703963,
0.02310316264629364,
0.01209753006696701,
-0.010762989521026611,
-0.04943002387881279,
0.05352030694484711,
-0.0028900618199259043,
-0.07979517430067062,
-0.006525387056171894,
0.04391854256391525,
0.047142237424850464,
-0.003394847735762596,
-0.03483672812581062,
-0.007036672439426184,
0.05816520377993584,
-0.05969039350748062,
0.01666443422436714,
0.04859810322523117,
0.05937842279672623,
-0.021162012591958046,
0.01712372526526451,
0.06294875591993332,
0.025685587897896767,
0.0026300863828510046,
-0.03996691107749939,
-0.021612636744976044,
0.0196714848279953,
0.08346949517726898,
0.012938118539750576,
-0.02507897838950157,
-0.03334620222449303,
0.0029810534324496984,
-0.0023202821612358093,
-0.07785402238368988,
0.011724898591637611,
0.039446961134672165,
0.043849214911460876,
0.006603379733860493,
0.06319139897823334,
-0.0360846109688282,
-0.01136093307286501,
-0.02280852384865284,
-0.056397370994091034,
-0.056189388036727905,
0.03206365555524826,
0.05022728070616722,
0.017695670947432518,
-0.000548927579075098,
0.025130972266197205,
-0.03294757381081581,
-0.044265177100896835,
0.015555205754935741,
0.04800882562994957,
0.01033836230635643,
-0.008899830281734467,
0.013830700889229774,
-0.06079962104558945,
-0.05040059983730316,
0.038615040481090546,
0.023380471393465996,
0.04825146868824959,
0.0009510773234069347,
-0.007907590828835964,
-0.03322488069534302,
0.0042982627637684345,
0.0405215285718441,
-0.05182179808616638,
-0.010598338209092617,
0.004406586289405823,
0.0307637769728899,
0.03038248047232628,
0.02298184111714363,
-0.04696892201900482,
-0.04513176158070564,
0.06461259722709656,
-0.055981408804655075,
-0.006170087028294802,
-0.02523496374487877,
-0.04405719414353371,
-0.012764801271259785,
-0.016439123079180717,
0.042289361357688904,
0.09262063354253769,
-0.020156772807240486,
0.025512270629405975,
-0.03632725402712822,
-0.04551305994391441,
-0.0012413833755999804,
-0.06281010061502457,
-0.043883878737688065,
0.03806042671203613,
-0.03189033642411232,
0.05788789689540863,
-0.005988104268908501,
0.04405719414353371,
-0.008267223834991455,
0.020988695323467255,
-0.015295229852199554,
-0.048355456441640854,
0.004761885851621628,
0.02611888013780117,
0.006529720034450293,
-0.025841573253273964,
-0.03473273664712906,
-0.018423601984977722,
0.020832709968090057,
0.03461141511797905,
0.011144286952912807,
-0.07154528051614761,
-0.008618190884590149,
0.008951826021075249,
-0.004601567983627319,
-0.0022747863549739122,
-0.04138811305165291,
-0.0031868673395365477,
0.04194272682070732,
0.023640446364879608,
-0.054352227598428726,
-0.031491708010435104,
-0.007456966210156679,
-0.04599834606051445,
-0.0026799149345606565,
-0.039065662771463394,
-0.0008297553868032992,
-0.03504470735788345,
-0.013241423293948174,
-0.001968231750652194,
-0.06450860947370529,
0.009610430337488651,
0.011837555095553398,
-0.03213298320770264,
0.009359121322631836,
0.038753692060709,
0.035391341894865036,
0.02171662636101246,
-0.01934218406677246,
0.02201126515865326,
0.016543112695217133,
-0.06672706454992294,
0.025061646476387978,
-0.047142237424850464,
0.04502777010202408,
-0.003115374129265547,
0.006789695471525192,
-0.051579155027866364,
-0.0689108595252037,
0.02632686123251915,
0.004575570113956928,
0.028978612273931503,
-0.010260369628667831,
-0.06177019700407982,
-0.02490566112101078,
0.020780714228749275,
-0.019602159038186073,
-0.000694893067702651,
-0.0011200614972040057,
0.010520345531404018,
-0.0323929563164711,
-0.07029739767313004,
-0.030070509761571884,
0.0064647262915968895,
-0.05788789689540863,
0.008969157934188843,
-0.06530586630105972,
-0.009853074327111244,
0.06357269734144211,
0.0031413715332746506,
-0.03795643523335457,
-0.023796431720256805,
0.04059085249900818,
-0.027800055220723152,
-0.0035313349217176437,
0.03691653162240982,
0.045478396117687225,
-0.052965693175792694,
0.02020876854658127,
0.021439319476485252,
-0.05102454125881195,
-0.012010871432721615,
-0.002285618567839265,
-0.00040539941983297467,
0.026881475001573563,
0.020659392699599266,
-0.035096704959869385,
0.013198093511164188,
0.01691574417054653,
0.014671288430690765,
0.009627762250602245,
-0.030625123530626297,
0.0074872965924441814,
-0.05892779678106308,
0.007521959953010082,
-0.007244653068482876,
-0.0010686079040169716,
-0.015139244496822357,
-0.0027167447842657566,
0.033796824514865875,
0.03604994714260101,
0.014532634988427162,
-0.004909205716103315,
0.006737700663506985,
0.0039992909878492355,
-0.06381534039974213,
-0.002970220986753702,
0.03109307959675789,
0.02109268493950367,
-0.031491708010435104,
0.037228502333164215,
0.005429156590253115,
0.060418326407670975,
0.034507423639297485,
-0.020694056525826454,
-0.05393626540899277,
-0.04211604595184326,
0.013128766790032387,
-0.07026273012161255,
0.0298798605799675,
0.059413086622953415,
-0.02301650494337082,
-0.006105093285441399,
-0.03868436813354492,
0.02532162144780159,
-0.007647614926099777,
-0.0024914327077567577,
-0.05494150519371033,
0.013726710341870785,
0.011144286952912807,
-0.025269625708460808,
-0.03747114539146423,
0.07026273012161255,
0.020607396960258484,
0.03594595566391945,
-0.03587663173675537,
0.036188602447509766,
0.022825855761766434,
-0.07792335003614426,
0.018388940021395683,
-0.007868594489991665,
-0.04551305994391441,
-0.02845866046845913,
-0.045305076986551285,
-0.03826840594410896,
0.03719383850693703,
-0.004766218829900026,
-0.0437798872590065,
-0.03384882211685181,
-0.014203332364559174,
0.02227124199271202,
-0.021959271281957626,
0.025564266368746758,
-0.017340371385216713,
-0.0033471856731921434,
0.08236026763916016,
0.026569504290819168,
0.040452200919389725,
-0.021196676418185234,
0.023536456748843193,
-0.01307677198201418,
-0.017253711819648743,
-0.01786898821592331,
-0.04502777010202408,
0.0003775062214117497,
-0.015555205754935741,
0.056813329458236694,
0.006607712712138891,
-0.008297554217278957,
-0.04215070605278015,
0.03552999719977379,
-0.00983574241399765,
0.006915350444614887,
-0.030191831290721893,
0.04395320639014244,
0.014160003513097763,
-0.0037999763153493404,
0.014125339686870575,
-0.023467129096388817,
-0.036431245505809784,
0.010563674382865429,
0.061631545424461365,
0.0005204927874729037,
-0.029359908774495125,
-0.017972977831959724,
0.006737700663506985,
-0.02038208581507206,
0.03792177140712738,
0.01740969717502594,
0.043086618185043335,
-0.012964115478098392,
-0.0022899515461176634,
0.0017180052818730474,
-0.04658762365579605,
0.019983455538749695,
-0.007331311237066984,
0.006165754050016403,
0.05078189820051193,
-0.028406664729118347,
-0.03851104900240898,
-0.026136212050914764,
-0.02150864712893963,
-0.0037848111242055893,
-0.057575926184654236,
-0.05185646191239357,
0.04738488420844078,
0.027228109538555145,
0.0621168315410614,
-0.007855595089495182,
-0.011473588645458221,
0.028770631179213524,
-0.027054792270064354,
0.044923778623342514,
-0.016257138922810555,
-0.046102337539196014,
0.025338953360915184,
0.01816362701356411,
0.036431245505809784,
-0.013492732308804989,
0.009263796731829643,
0.0021079687867313623,
0.029273251071572304,
0.01165557187050581,
0.007474298123270273,
-0.027574744075536728,
-0.004649229813367128,
0.015849845483899117,
-0.005143183749169111,
0.008405877277255058,
-0.013527396135032177,
-0.027384094893932343,
-0.017011068761348724,
0.0022314570378512144,
-0.03587663173675537,
0.02887462079524994,
-0.003576830727979541,
0.0343167781829834,
-0.014142671599984169,
0.01565052941441536,
-0.007699610199779272,
-0.021959271281957626,
0.00032957320217974484,
0.02369244210422039,
0.002779572270810604,
-0.0032366958912461996,
-0.020728720352053642,
-0.04031354561448097,
-0.009237798862159252,
0.01582384668290615,
0.006001103203743696,
0.004506243392825127,
0.026066884398460388,
0.02934257686138153,
0.0196714848279953,
-0.031006421893835068,
-0.0018490763613954186,
0.00727065047249198,
0.028268011286854744,
-0.01085831318050623,
0.045721039175987244,
-0.006599046755582094,
-0.014004018157720566,
0.018562257289886475,
-0.001018237671814859,
0.018302280455827713,
-0.0016291802749037743,
0.03868436813354492,
0.048286132514476776,
0.01598849892616272,
0.018146295100450516,
0.013232757337391376,
-0.024749675765633583,
0.013319415971636772,
-0.001928152283653617,
0.06298341602087021,
0.00964509416371584,
0.015243235044181347,
0.037228502333164215,
0.013380076736211777,
-0.030278488993644714,
0.04423051327466965,
0.017522353678941727,
0.006395399104803801,
0.04014023020863533,
-0.034212786704301834,
-0.022912515327334404,
-0.026968132704496384,
0.020018119364976883,
0.0038519715890288353,
-0.044299837201833725,
0.008028912357985973,
-0.031197069212794304,
0.03516602888703346,
-0.04963800311088562,
-0.0006418147240765393,
-0.03868436813354492,
-0.02561626024544239,
0.00835388246923685,
-0.010667664930224419,
-0.0072533185593783855,
-0.00832788459956646,
-0.015355890616774559,
-0.015095915645360947,
0.027193445712327957,
-0.04010556638240814,
-0.03135305643081665,
0.024559026584029198,
0.0005789872957393527,
-0.007599952630698681,
0.007937921211123466,
-0.049326032400131226,
-0.007799267303198576,
0.00708433473482728,
-0.031249064952135086,
-0.06457793712615967,
-0.016300469636917114,
-0.0037804781459271908,
0.0057714576832950115,
0.04353724420070648,
-0.004254933912307024,
0.02736676298081875,
0.021699294447898865,
-0.03833773359656334,
0.010286367498338223,
0.01724504679441452,
0.0033103558234870434,
0.013059440068900585,
0.062220823019742966,
0.030833104625344276,
0.05733328312635422,
0.02109268493950367,
-0.04461180791258812,
-0.011395595967769623,
0.01215819176286459,
0.031214401125907898,
0.010407689027488232,
-0.013163430616259575,
-0.05123252049088478,
0.0001542250975035131,
0.05431756377220154,
-0.007002009078860283,
0.01578051783144474,
0.0307637769728899,
-0.0003775062214117497,
-0.0013681214768439531,
-0.011967542581260204,
0.022825855761766434,
0.022999173030257225,
0.016889747232198715,
-0.0008633355610072613,
-0.018232954666018486,
0.018354276195168495,
0.028025368228554726,
-0.011421593837440014,
0.005632804241031408,
0.002853231970220804,
-0.015919171273708344,
-0.007032339461147785,
-0.0298798605799675,
-0.002638752106577158,
-0.0550108328461647,
-0.0071883248165249825,
-0.009506440721452236,
0.029065269976854324,
0.050747234374284744,
-0.013016111217439175,
0.014341985806822777,
-0.03587663173675537,
-0.0323929563164711,
-0.0020462244283407927,
0.0006456060218624771,
-0.02150864712893963,
0.023571118712425232,
-0.0035811637062579393,
0.024957654997706413,
0.050539251416921616,
0.012808130122721195,
0.030122503638267517,
0.024299051612615585,
-0.024663016200065613,
-0.026101548224687576,
-0.0007068085833452642,
0.030035845935344696,
-0.047315556555986404,
0.023259148001670837,
0.03650057315826416,
-0.006035766564309597,
-0.007898924872279167,
-0.024091070517897606,
-0.02239256352186203,
-0.01590183936059475,
-0.0008292137645184994,
-0.0251483041793108,
0.029567889869213104,
0.010546342469751835,
0.02000078745186329,
-0.010511679574847221,
0.0057801236398518085,
-0.031231733039021492,
-0.013986686244606972,
-0.00792925525456667,
-0.054594870656728745,
-0.015875842422246933,
-0.002764407079666853,
0.010832316242158413,
-0.031543705612421036,
0.007959585636854172,
-0.022496553137898445,
0.056778665632009506,
0.012071533128619194,
-0.03556466102600098,
0.04298263043165207,
-0.010572340339422226,
-0.016690433025360107,
0.012990113347768784,
-0.030278488993644714,
-0.005966439377516508,
0.02800803631544113,
-0.020572734996676445,
-0.008969157934188843,
-0.04416118562221527,
-0.01652578078210354,
-0.009463110938668251,
-0.0026365856174379587,
0.023761767894029617,
0.0035746642388403416,
-0.004248434212058783,
0.029706543311476707,
0.04856343939900398,
-0.04662228748202324,
-0.017444361001253128,
0.006044432055205107,
0.008171899244189262,
-0.019931461662054062,
-0.02478433959186077,
-0.03566864877939224,
0.02594556286931038,
-0.042254697531461716,
-0.055218812078237534,
-0.014523969031870365,
0.0037501477636396885,
-0.00006980073521845043,
0.00035746642970480025,
-0.002588923554867506,
0.027072124183177948,
0.06544452160596848,
-0.016040492802858353,
-0.011924213729798794,
-0.022375231608748436,
0.006733367685228586,
-0.01585851050913334,
0.03948162496089935,
0.0015782684786245227,
-0.00026403769152238965,
-0.020018119364976883,
-0.0257375817745924,
0.022115256637334824,
-0.049326032400131226,
-0.037020523101091385,
0.009853074327111244,
0.007461299188435078,
0.0010160711826756597,
-0.024125734344124794,
-0.009038484655320644,
0.008778508752584457,
-0.021941939368844032,
0.06027967110276222,
0.007097333204001188,
-0.021040691062808037,
0.009636428207159042,
0.016889747232198715,
0.025182968005537987,
-0.010892977006733418,
-0.033918146044015884,
0.01799030974507332,
-0.007885926403105259,
0.006261078640818596,
-0.06436995416879654,
0.01958482712507248,
-0.018059637397527695,
0.03833773359656334,
-0.008795840665698051,
-0.010650333017110825,
-0.00690668448805809,
-0.004393587354570627,
0.02996651828289032,
-0.005871115252375603,
-0.005801788531243801,
-0.027592074126005173,
0.04138811305165291,
-0.03955095261335373,
-0.014220664277672768,
-0.00818489771336317,
-0.011924213729798794,
0.00899515487253666,
-0.017175719141960144,
-0.005689132492989302,
0.007604285608977079,
0.01224484946578741,
0.011048962362110615,
-0.046310316771268845,
-0.023259148001670837,
0.015459881164133549,
-0.0041834404692053795,
-0.021162012591958046,
-0.02490566112101078,
-0.019723480567336082,
0.04457714781165123,
0.034472763538360596,
-0.026604168117046356,
-0.013579390943050385,
0.006122424732893705,
0.012816796079277992,
-0.030902430415153503,
-0.00433075986802578,
0.002309449715539813,
-0.02209792472422123,
-0.006625044625252485,
-0.008969157934188843,
-0.01084098219871521,
-0.007725607603788376,
0.001433115336112678,
0.041249457746744156,
-0.025252295657992363,
0.019896797835826874,
0.009957064874470234,
-0.01326742023229599,
-0.008444873616099358,
0.030694451183080673,
-0.022791191935539246,
-0.020746052265167236,
-0.043051958084106445,
0.026014890521764755,
0.0020538070239126682,
0.015719857066869736,
0.0028488989919424057,
0.0075609562918543816,
0.013700713403522968,
0.011473588645458221,
-0.02644818276166916,
-0.006815693341195583,
0.015286563895642757,
0.01669909805059433,
-0.0372631661593914,
-0.007838264107704163,
0.03591129183769226,
0.02292984537780285,
0.02076338231563568,
0.020902037620544434,
-0.0120542012155056,
-0.014116673730313778,
-0.015026588924229145,
-0.010286367498338223,
-0.04312128201127052,
-0.01565919630229473,
-0.016395794227719307,
-0.024403041228652,
-0.018406271934509277,
0.0014190333895385265,
-0.039654940366744995,
0.04658762365579605,
0.013284752145409584,
-0.004623232409358025,
0.011230944655835629,
-0.037436485290527344,
-0.027557412162423134,
0.013501398265361786,
-0.011326269246637821,
-0.028233347460627556,
-0.03750580921769142,
-0.014809941872954369,
-0.0331382192671299,
-0.01565052941441536,
0.036223262548446655,
0.018198290839791298,
-0.02318982221186161,
-0.015009257011115551,
-0.020538071170449257,
-0.021959271281957626,
-0.02916925959289074,
-0.04575570300221443,
-0.014844605699181557,
-0.030659787356853485,
0.024004412814974785,
-0.03294757381081581,
-0.017635010182857513,
0.03625792637467384,
0.04866742715239525,
0.031786348670721054,
-0.04114546999335289,
0.005169181153178215,
-0.019359514117240906,
-0.05629337951540947,
0.016586441546678543,
0.026396187022328377,
-0.030781108886003494,
0.03390081599354744,
0.014142671599984169,
0.0167857576161623,
0.0127214714884758,
0.027574744075536728,
0.015095915645360947,
0.02067672461271286,
-0.026309529319405556,
0.008002915419638157,
-0.017045732587575912,
0.030781108886003494,
-0.01799030974507332,
0.009081813506782055,
-0.019394177943468094,
-0.012808130122721195,
-0.005138850770890713,
-0.049360696226358414,
-0.00036098691634833813,
-0.01652578078210354,
-0.004987198393791914,
0.017678339034318924,
0.052931029349565506,
0.09185803681612015,
0.012426832690834999,
0.05549611896276474,
-0.02866664156317711,
-0.0653751939535141,
0.025772245600819588,
-0.007131996564567089,
0.01594516821205616,
-0.008258557878434658,
-0.028649309650063515,
-0.05809587612748146,
0.017938315868377686,
-0.01875290460884571,
-0.0038519715890288353,
-0.00014826732513029128,
-0.010529011487960815,
0.03403947129845619,
-0.021612636744976044,
0.021699294447898865,
-0.029949186369776726
] |
Black box optimisation of an unknown function from expensive and noisy
evaluations is a ubiquitous problem in machine learning, academic research and
industrial production. An abstraction of the problem can be formulated as a
kernel based bandit problem (also known as Bayesian optimisation), where a
learner aims at optimising a kernelized function through sequential noisy
observations. The existing work predominantly assumes feedback is immediately
available; an assumption which fails in many real world situations, including
recommendation systems, clinical trials and hyperparameter tuning. We consider
a kernel bandit problem under stochastically delayed feedback, and propose an
algorithm with $\tilde{\mathcal{O}}(\sqrt{\Gamma_k(T)T}+\mathbb{E}[\tau])$
regret, where $T$ is the number of time steps, $\Gamma_k(T)$ is the maximum
information gain of the kernel with $T$ observations, and $\tau$ is the delay
random variable. This represents a significant improvement over the state of
the art regret bound of
$\tilde{\mathcal{O}}(\Gamma_k(T)\sqrt{T}+\mathbb{E}[\tau]\Gamma_k(T))$ reported
in Verma et al. (2022). In particular, for very non-smooth kernels, the
information gain grows almost linearly in time, trivializing the existing
results. We also validate our theoretical results with simulations. | [
0.03168280050158501,
-0.015396255068480968,
-0.027173276990652084,
-0.02794744446873665,
0.011186718940734863,
-0.010219009593129158,
-0.09282267093658447,
0.056204553693532944,
-0.07021698355674744,
0.014883368276059628,
0.0002884983259718865,
-0.028663549572229385,
0.013654378242790699,
-0.012096365913748741,
-0.03657941147685051,
0.07730061560869217,
0.02922482043504715,
0.006570746190845966,
0.03654070198535919,
-0.028276465833187103,
0.012193136848509312,
-0.04811450466513634,
-0.0072287884540855885,
0.02899257093667984,
-0.0036772952880710363,
0.014709181152284145,
-0.020941229537129402,
0.010025467723608017,
-0.039714787155389786,
0.041030872613191605,
0.05001121386885643,
0.04312112554907799,
-0.05829480662941933,
0.005017572548240423,
0.021908938884735107,
0.037779368460178375,
0.0023140348494052887,
0.012338293716311455,
0.009822249412536621,
-0.05512072145938873,
-0.054191719740629196,
0.01630590111017227,
-0.06232047826051712,
0.001843486214056611,
0.006565907504409552,
-0.012696345336735249,
0.016818787902593613,
0.018657434731721878,
0.018270350992679596,
-0.011718959547579288,
0.010035145096480846,
-0.012483449652791023,
0.013876951299607754,
0.023089542984962463,
0.024173377081751823,
0.015018847770988941,
0.027115214616060257,
0.029399007558822632,
0.07381686568260193,
-0.03661812096834183,
-0.009275493212044239,
-0.013596314936876297,
-0.06293981522321701,
0.007794898469001055,
0.05763676390051842,
-0.050553131848573685,
0.010518999770283699,
0.045327503234148026,
0.022644396871328354,
0.04195987433195114,
-0.008041664026677608,
-0.04915963113307953,
-0.0015120457392185926,
0.01789294369518757,
0.03359886631369591,
-0.01546399388462305,
0.03094734251499176,
0.02794744446873665,
0.012396356090903282,
-0.014738212339580059,
0.0021979096345603466,
0.07548132538795471,
-0.019799331203103065,
0.002344275824725628,
0.0476112961769104,
-0.01792197674512863,
0.03243761509656906,
-0.06785577535629272,
0.016867171972990036,
-0.008448101580142975,
-0.02727004699409008,
0.004052282776683569,
-0.0580238476395607,
0.01060609333217144,
0.010189978405833244,
0.04358562454581261,
-0.030869925394654274,
0.010122238658368587,
-0.04370174929499626,
0.03228278085589409,
0.024792712181806564,
-0.056204553693532944,
-0.01870582066476345,
0.007136855740100145,
0.04784354567527771,
-0.0005703436327166855,
-0.024366918951272964,
-0.03824387118220329,
0.026708776131272316,
0.1336987167596817,
0.00017796778411138803,
0.018309060484170914,
-0.0323021374642849,
-0.005844964180141687,
-0.08995825797319412,
0.04478558525443077,
-0.02059285342693329,
-0.056630346924066544,
0.019092904403805733,
-0.02291535586118698,
0.031740862876176834,
0.06870736181735992,
-0.021037999540567398,
0.002243875991553068,
-0.0030361879616975784,
0.052449844777584076,
-0.023457273840904236,
-0.0031765056774020195,
0.028682902455329895,
0.01623816229403019,
-0.05152084305882454,
-0.007223949767649174,
0.0031402166932821274,
-0.05043700709939003,
-0.025199148803949356,
0.024289503693580627,
0.07300398498773575,
0.031295716762542725,
-0.008709383197128773,
0.006144953891634941,
0.0007675144006498158,
-0.03944383189082146,
-0.010431906208395958,
-0.01061577070504427,
0.002101138699799776,
-0.0050659580156207085,
-0.04288887605071068,
0.009957728907465935,
-0.04029541462659836,
0.057907722890377045,
-0.012860856018960476,
0.06259143352508545,
-0.05287563428282738,
0.056359387934207916,
0.06588164716959,
-0.0008122709696181118,
-0.032766636461019516,
-0.03141184151172638,
0.0073691061697900295,
-0.04877254739403725,
0.027192629873752594,
0.01675104722380638,
-0.02506367117166519,
0.06890089809894562,
0.041882459074258804,
0.0571722649037838,
-0.009986760094761848,
-0.012715700082480907,
-0.039482537657022476,
0.035166554152965546,
-0.03143119812011719,
-0.03334726020693779,
-0.032321490347385406,
0.0484628789126873,
-0.012493127025663853,
0.049856383353471756,
0.030366716906428337,
0.026921672746539116,
-0.02250891737639904,
-0.010906083509325981,
-0.01698329858481884,
0.015009171329438686,
-0.05566263943910599,
0.06379139423370361,
0.05318530276417732,
-0.0064255897887051105,
0.0484628789126873,
-0.0066965483129024506,
0.004231309052556753,
-0.007311043795198202,
-0.02405725233256817,
0.04041153937578201,
0.007925539277493954,
0.005070796702057123,
0.02637975476682186,
0.023883065208792686,
-0.028915153816342354,
0.001977755920961499,
-0.003728100098669529,
-0.02618621289730072,
-0.024347566068172455,
-0.028915153816342354,
0.0002742850920185447,
-0.03874707967042923,
-0.033889178186655045,
0.022354084998369217,
0.024541107937693596,
-0.000024948754798970185,
-0.01428338885307312,
-0.0022668589372187853,
0.028237756341695786,
-0.05295305326581001,
-0.044901710003614426,
-0.05113375931978226,
-0.017902621999382973,
-0.02835388109087944,
0.00370632647536695,
0.03640522435307503,
-0.025605587288737297,
-0.0644107311964035,
-0.04962413012981415,
0.05349496752023697,
0.023476626724004745,
0.01677040196955204,
-0.03727615997195244,
0.026031380519270897,
-0.008651320822536945,
-0.05039829760789871,
0.04842417314648628,
-0.034721408039331436,
0.008719060570001602,
0.004666777793318033,
-0.010596416890621185,
-0.02577977441251278,
-0.02941836230456829,
-0.002828130265697837,
0.009391618892550468,
-0.01993481069803238,
0.018570341169834137,
-0.0194509569555521,
-0.013470512814819813,
0.005549812689423561,
-0.03054090403020382,
-0.03373434394598007,
0.0033023080322891474,
-0.010780281387269497,
0.04571458697319031,
0.05519813671708107,
0.030424779281020164,
0.06034635007381439,
-0.0741652399301529,
-0.04854029789566994,
-0.04308241605758667,
0.0167897567152977,
-0.013218908570706844,
0.03748905658721924,
0.006294948980212212,
-0.0331537202000618,
0.0826810821890831,
-0.038418058305978775,
0.06204951927065849,
0.06487523019313812,
0.04482429474592209,
0.011244782246649265,
0.021967001259326935,
0.013451159000396729,
0.07246207445859909,
0.019073549658060074,
-0.04269533231854439,
0.006890090182423592,
-0.006536876317113638,
-0.011128656566143036,
0.05001121386885643,
-0.0035635894164443016,
-0.006207854952663183,
-0.02703779749572277,
-0.04873383790254593,
0.007475554011762142,
0.0057772244326770306,
0.010402875021100044,
0.026766838505864143,
0.020631561055779457,
0.019644498825073242,
0.030192529782652855,
0.029282882809638977,
-0.007373944856226444,
-0.008912602439522743,
-0.03373434394598007,
-0.027579713612794876,
0.012077012099325657,
-0.019644498825073242,
-0.022857293486595154,
0.048385463654994965,
0.05806255713105202,
0.05364980176091194,
0.03290211409330368,
-0.039753496646881104,
-0.033889178186655045,
-0.0016801852034404874,
0.014264035038650036,
0.023263731971383095,
0.0015580119797959924,
-0.017592955380678177,
0.05415301024913788,
0.035592347383499146,
-0.03657941147685051,
-0.005559489596635103,
0.016973620280623436,
-0.0117963757365942,
0.020399311557412148,
-0.015647858381271362,
-0.015783337876200676,
0.01589946262538433,
-0.0038901912048459053,
-0.00026853932649828494,
0.05585617944598198,
0.025024961680173874,
0.019121935591101646,
-0.00872389879077673,
-0.060733433812856674,
0.043624334037303925,
0.006386881228536367,
-0.03137313574552536,
-0.008443263359367847,
-0.028682902455329895,
-0.01851227879524231,
0.05519813671708107,
0.04025670513510704,
-0.014660795219242573,
0.018860653042793274,
-0.043624334037303925,
0.02446369081735611,
-0.05519813671708107,
-0.0316634476184845,
0.008423909544944763,
0.01734135113656521,
-0.042501792311668396,
0.02357339859008789,
0.04540491849184036,
-0.019528374075889587,
-0.002309196162968874,
-0.02966996654868126,
0.011728636920452118,
0.013964044861495495,
-0.01885097660124302,
-0.06390751898288727,
-0.059185098856687546,
-0.012096365913748741,
-0.018667111173272133,
-0.029321590438485146,
0.0009725478012114763,
-0.01201894972473383,
0.004533717874437571,
0.04389529302716255,
0.06464298069477081,
-0.04300500079989433,
-0.011477031745016575,
0.03959866240620613,
-0.02165733277797699,
0.06607519090175629,
0.034295618534088135,
-0.09994501620531082,
-0.07346849143505096,
0.040140580385923386,
-0.054617512971162796,
-0.0017648597713559866,
-0.028934506699442863,
-0.0007161048706620932,
-0.04625650495290756,
0.004185342695564032,
-0.03220536559820175,
-0.027308756485581398,
0.015967203304171562,
0.041224416345357895,
0.014525316655635834,
0.03700520470738411,
-0.04691454768180847,
0.0003151103446725756,
-0.020399311557412148,
0.04323725029826164,
-0.023437919095158577,
-0.04265662655234337,
0.015076910145580769,
-0.044475916773080826,
0.012909241952002048,
0.04114699736237526,
-0.026882963255047798,
-0.020167062059044838,
0.03746970370411873,
-0.002912804950028658,
-0.013905982486903667,
0.006459459662437439,
0.022625042125582695,
-0.020167062059044838,
-0.01006417628377676,
-0.03764389082789421,
0.03417949005961418,
-0.017273610457777977,
0.0075191012583673,
-0.0193445086479187,
-0.03772130608558655,
0.02227666787803173,
-0.016847819089889526,
0.009623868390917778,
-0.034334324300289154,
0.05980443209409714,
-0.009517421014606953,
-0.05585617944598198,
0.02080575004220009,
-0.025199148803949356,
0.04281145706772804,
-0.035166554152965546,
-0.02918611280620098,
-0.030869925394654274,
-0.026360400021076202,
0.02138637565076351,
0.004811934195458889,
-0.04637262970209122,
0.020050935447216034,
-0.02852807007730007,
-0.021096061915159225,
-0.02574106678366661,
0.005424010567367077,
0.02577977441251278,
0.009996436536312103,
0.032127946615219116,
0.02316696010529995,
-0.007959408685564995,
-0.037160035222768784,
-0.012464095838367939,
-0.01687685027718544,
0.022818583995103836,
-0.014060815796256065,
-0.04637262970209122,
0.027753902599215508,
0.03265051171183586,
-0.026960380375385284,
0.04912092164158821,
0.010973823256790638,
-0.05771418288350105,
-0.009938374161720276,
-0.031024759635329247,
0.012793116271495819,
-0.012241522781550884,
0.035611700266599655,
0.0058014169335365295,
0.017051037400960922,
0.006585261784493923,
0.013373741880059242,
0.00034565365058369935,
-0.052914343774318695,
0.06212693452835083,
-0.02268310636281967,
-0.017138130962848663,
0.045133959501981735,
-0.026360400021076202,
0.021367020905017853,
-0.029069986194372177,
0.028199048712849617,
-0.02229602262377739,
0.019412247464060783,
0.0148253059014678,
0.053572386503219604,
-0.051830507814884186,
-0.004998218268156052,
0.03261180222034454,
-0.020225124433636665,
-0.030424779281020164,
0.012493127025663853,
0.008191659115254879,
0.004712744150310755,
-0.07726190984249115,
-0.04660487920045853,
0.004952252376824617,
0.06727515161037445,
-0.0015943010803312063,
-0.05148213356733322,
-0.03812774643301964,
-0.04010187089443207,
-0.06247531250119209,
0.018880007788538933,
-0.020825102925300598,
0.0026031378656625748,
-0.060268934816122055,
-0.025683004409074783,
0.009120659902691841,
-0.014447899535298347,
-0.03249567747116089,
0.0731201097369194,
0.018183257430791855,
-0.09344200789928436,
-0.022199250757694244,
-0.03414078429341316,
0.037314869463443756,
0.011477031745016575,
0.02078639529645443,
-0.02210248075425625,
-0.028624840080738068,
0.05539168044924736,
-0.0008915021899156272,
0.02227666787803173,
-0.01687685027718544,
-0.0019487246172502637,
-0.036056846380233765,
0.026708776131272316,
-0.01589946262538433,
0.030211884528398514,
0.015396255068480968,
-0.04583071172237396,
0.05558522045612335,
-0.014505961909890175,
0.02924417518079281,
-0.0009435165557079017,
0.01320923212915659,
0.0020479147788137197,
0.049856383353471756,
-0.01929612271487713,
-0.004197439178824425,
0.04648875445127487,
-0.02767648547887802,
0.04501783475279808,
-0.03445044904947281,
0.00019838039588648826,
0.01838647574186325,
-0.07075890153646469,
0.06255272775888443,
0.01821228861808777,
-0.003924061078578234,
0.05241113528609276,
-0.007291689515113831,
-0.01265763770788908,
0.005225630011409521,
-0.05171438306570053,
-0.035360097885131836,
-0.04134054109454155,
0.0038611600175499916,
0.025218503549695015,
0.03663747385144234,
0.012502803467214108,
0.001902758376672864,
-0.046643588691949844,
0.015154327265918255,
0.03685037046670914,
0.05454009398818016,
-0.014428545720875263,
-0.007780382409691811,
0.01730264164507389,
0.015493026003241539,
-0.007083632051944733,
0.01201894972473383,
0.013402773067355156,
0.004729679320007563,
-0.026902318000793457,
0.00359745929017663,
-0.035147201269865036,
-0.002641846425831318,
0.004540975671261549,
-0.017912298440933228,
-0.03812774643301964,
0.007828768342733383,
0.05310788378119469,
0.00849164929240942,
-0.0012011690996587276,
-0.016925236210227013,
-0.015173681080341339,
-0.04083733260631561,
0.011825407855212688,
0.030598968267440796,
-0.01632525585591793,
0.041688915342092514,
0.004352272488176823,
-0.01634461060166359,
0.02725069411098957,
-0.032747283577919006,
0.004572426434606314,
0.018580017611384392,
0.03226342797279358,
-0.017631663009524345,
0.010877052322030067,
-0.024792712181806564,
0.014844660647213459,
-0.03435368090867996,
0.031102176755666733,
-0.03054090403020382,
0.032553739845752716,
-0.06986860930919647,
-0.016160745173692703,
-0.01428338885307312,
-0.014157586731016636,
-0.02982480078935623,
-0.07826832681894302,
0.012976981699466705,
-0.02490883693099022,
0.028257111087441444,
-0.025024961680173874,
-0.03880514204502106,
0.036018140614032745,
0.007528778165578842,
0.030192529782652855,
-0.0386890172958374,
0.030657030642032623,
0.004807095974683762,
-0.020883167162537575,
0.007402976043522358,
0.020825102925300598,
0.029379654675722122,
0.0035684278700500727,
0.017970360815525055,
-0.006769126281142235,
0.013828565366566181,
-0.022141188383102417,
0.0033797246869653463,
0.017757466062903404,
-0.014699503779411316,
0.05407559499144554,
0.011777021922171116,
-0.023283084854483604,
-0.010944792069494724,
-0.008022310212254524,
-0.012909241952002048,
0.04455333575606346,
0.009948051534593105,
0.02425079420208931,
-0.012522158212959766,
-0.006372365634888411,
0.02268310636281967,
-0.008985180407762527,
-0.05252726003527641,
0.007528778165578842,
-0.022625042125582695,
0.008336815051734447,
-0.019441278651356697,
0.009081951342523098,
-0.012735053896903992,
-0.0119028240442276,
-0.018076809123158455,
-0.022779876366257668,
0.025392690673470497,
-0.012512480840086937,
0.0029829638078808784,
-0.05167567729949951,
-0.002141056815162301,
-0.01502852514386177,
0.06127535179257393,
-0.0026563620194792747,
-0.014089846983551979,
0.014244680292904377,
-0.001654782914556563,
0.007925539277493954,
0.05872059985995293,
-0.02531527541577816,
0.04285016655921936,
0.01787359081208706,
0.0563206784427166,
0.0009725478012114763,
-0.03417949005961418,
0.017080068588256836,
0.02080575004220009,
0.005559489596635103,
0.03377305343747139,
0.03423755615949631,
0.008249721489846706,
-0.0058014169335365295,
0.009802894666790962,
0.04873383790254593,
-0.0074658771045506,
0.013044721446931362,
0.06650098413228989,
-0.002663619816303253,
0.07966183125972748,
-0.01429306622594595,
0.015541411004960537,
-0.021560562774538994,
0.004954671487212181,
0.03168280050158501,
-0.02427014894783497,
-0.029979633167386055,
0.08732608705759048,
-0.0027603907510638237,
-0.04583071172237396,
0.0038345479406416416,
-0.006077214144170284,
-0.016741370782256126,
-0.0032176333479583263,
0.03781807795166969,
-0.0005286111845634878,
0.014109201729297638,
-0.012676991522312164,
-0.024192731827497482,
0.05690130591392517,
0.009507743641734123,
-0.0006997747696004808,
0.02639910951256752,
-0.03986962139606476,
0.03156667575240135,
0.037353578954935074,
-0.010780281387269497,
-0.013364065438508987,
-0.019876748323440552,
0.02637975476682186,
-0.020283186808228493,
0.01685749553143978,
-0.008946471847593784,
0.03657941147685051,
0.040334124118089676,
0.006793319247663021,
0.007973924279212952,
-0.03553428500890732,
-0.03054090403020382,
-0.017399413511157036,
0.0014914819039404392,
-0.0011775812599807978,
-0.01136090699583292,
0.01689620316028595,
0.00370632647536695,
-0.028605487197637558,
0.04285016655921936,
-0.017467152327299118,
0.0018749367445707321,
0.01906387321650982,
0.036231037229299545,
0.003132958896458149,
0.04819192364811897,
-0.03654070198535919,
-0.0007820300525054336,
0.002886192873120308,
0.04366304352879524,
-0.002226941054686904,
-0.03872772678732872,
-0.006386881228536367,
0.01583172380924225,
-0.010025467723608017,
-0.019315477460622787,
-0.008810993283987045,
0.008302945643663406,
-0.015909140929579735,
0.025857191532850266,
0.03685037046670914,
0.0009628707193769515,
0.03619232773780823,
0.018347768113017082,
0.037992265075445175,
0.00789650809019804,
0.016083328053355217,
-0.024754002690315247,
0.018580017611384392,
0.032379552721977234,
-0.00357084721326828,
0.004695809446275234,
-0.031044114381074905,
0.000991901964880526,
-0.014438222162425518,
0.02357339859008789,
0.029766736552119255,
-0.053340137004852295,
-0.04826933890581131,
0.045095253735780716,
-0.03723745420575142,
0.054191719740629196,
-0.010102884843945503,
0.028644194826483727,
0.03249567747116089,
0.02465723268687725,
-0.0337924063205719,
0.02421208657324314,
-0.04269533231854439,
-0.07443619519472122,
0.03117959387600422,
0.03830193355679512,
-0.024637877941131592,
0.029166758060455322,
0.0030265108216553926,
-0.01494143158197403,
-0.022837938740849495,
0.00027685557142831385,
0.06626873463392258,
0.025257213041186333,
0.051404718309640884,
-0.017012329772114754,
0.014022107236087322,
-0.014815629459917545,
0.019992873072624207,
-0.020689625293016434,
0.03859224542975426,
-0.01993481069803238,
0.0054143331944942474,
0.032785989344120026,
-0.008409393951296806,
0.012793116271495819,
0.01256086677312851,
-0.022179896011948586,
-0.020457373932003975,
-0.0283732358366251,
0.00789650809019804,
0.016228483989834785,
0.012793116271495819,
-0.03810838982462883,
-0.0008842443348839879,
0.014225326478481293,
-0.01885097660124302,
-0.01577366143465042,
-0.00012164407962700352,
-0.018018746748566628,
0.044708169996738434,
-0.022199250757694244,
-0.044514626264572144,
-0.0017830043798312545,
-0.03566976264119148,
0.010315780527889729,
0.024966899305582047,
-0.019838040694594383,
0.028431298211216927,
-0.0014576121466234326,
0.012706022709608078,
0.014505961909890175,
-0.04393400251865387,
-0.04130183160305023,
0.044050127267837524,
-0.03348274156451225,
0.01698329858481884,
0.02080575004220009,
-0.02378629334270954,
0.005617552436888218,
0.003936157561838627,
0.002637007739394903,
-0.014970462769269943,
-0.03663747385144234,
-0.010431906208395958,
0.04497912898659706,
-0.016315577551722527,
0.026979735121130943,
0.07989408075809479,
-0.015434962697327137,
-0.011322198435664177,
-0.05384334549307823,
0.05330142751336098,
-0.031063467264175415,
-0.025915253907442093,
0.02467658743262291,
0.05806255713105202,
0.015193035826086998,
-0.023321794345974922,
-0.011244782246649265,
0.018676789477467537,
-0.005990120582282543,
0.02643781714141369,
-0.029128048568964005,
0.02963125891983509,
-0.020012227818369865,
0.01655750535428524,
0.018609048798680305,
0.03998574614524841,
0.034566573798656464,
-0.04006316512823105,
0.006217532325536013,
0.028953861445188522,
-0.004974025767296553,
0.08345524966716766,
0.0058981878682971,
0.0012459256686270237,
0.03141184151172638,
0.023941127583384514,
-0.007354590576142073,
0.004003897309303284,
0.045482337474823,
0.007485231384634972,
0.018444538116455078,
-0.039056748151779175,
0.0013342291349545121,
-0.06379139423370361,
0.004175665322691202,
0.03810838982462883,
-0.05933993309736252,
0.021289603784680367,
0.02637975476682186,
0.05488847196102142,
0.011622188612818718,
-0.018018746748566628,
-0.0037401963490992785,
-0.07861670106649399,
0.01770908012986183,
0.006130438297986984,
-0.011186718940734863,
-0.023089542984962463,
0.05384334549307823,
0.010364166460931301,
-0.035398803651332855,
-0.04912092164158821,
0.009067435748875141,
-0.004211954772472382,
0.023495981469750404,
0.01708974502980709,
-0.04203728958964348,
0.009294847957789898,
-0.0008394878241233528,
-0.0031498936004936695,
-0.005346593912690878,
-0.00530304666608572,
0.04075991362333298,
0.006270756013691425,
0.0005966532626189291,
-0.021599270403385162,
0.03770195320248604,
-0.02982480078935623,
0.026263630017638206,
-0.0235927514731884,
0.017747787758708,
-0.0007191289332695305,
0.027773255482316017,
-0.02034124918282032,
-0.000417022209148854,
0.013780180364847183,
0.035360097885131836,
-0.012686668895184994,
0.03417949005961418,
-0.00359745929017663,
-0.015551088377833366,
-0.06681064516305923,
0.02748294360935688,
0.016160745173692703,
0.029360299929976463,
-0.012173783034086227,
0.011418969370424747,
0.05039829760789871,
0.008656159974634647,
0.00794005487114191,
0.016944589093327522,
0.05426913499832153,
-0.0075239394791424274,
-0.03596007823944092,
-0.001505997614003718,
0.004243405070155859,
0.023554043844342232,
0.02533462829887867,
-0.008743253536522388,
0.01330600306391716,
-0.03261180222034454,
0.00256926822476089,
-0.012851179577410221,
-0.01826067455112934,
-0.005883672274649143,
0.0016559924697503448,
0.004964348394423723,
0.017118778079748154,
0.037508413195610046,
-0.022857293486595154,
0.015241420827805996,
-0.01072221901267767,
-0.02167668752372265,
-0.010799635201692581,
0.020050935447216034,
0.0384761206805706,
-0.012522158212959766,
-0.019538050517439842,
-0.042308248579502106,
-0.018357444554567337,
-0.012096365913748741,
-0.009377103298902512,
-0.0024011286441236734,
0.04567587748169899,
0.002316454192623496,
0.014409190975129604,
-0.03247632458806038,
-0.005249822977930307,
-0.00665300153195858,
-0.010131916031241417,
-0.007804575376212597,
-0.03162473812699318,
-0.039288997650146484,
-0.01762198656797409,
0.003691810881718993,
-0.0060385060496628284,
0.014109201729297638,
0.022992772981524467,
0.009280332364141941,
0.01675104722380638,
-0.001993481069803238,
-0.05322401225566864,
0.009435165673494339,
-0.03137313574552536,
0.028740964829921722,
0.006962668150663376,
0.013180200010538101,
0.023418564349412918,
0.01732199639081955,
0.017099423334002495,
-0.031257010996341705,
-0.005472396034747362,
-0.004983702674508095,
-0.01146735530346632,
-0.026012025773525238,
-0.02144443802535534,
0.025431400164961815,
-0.015396255068480968,
-0.02295406349003315,
0.009938374161720276,
-0.0023200830910354853,
-0.03402465954422951,
0.004932898096740246,
-0.029766736552119255,
-0.0032079562079161406,
0.026921672746539116,
-0.02030254155397415,
0.04753388091921806,
0.03468270227313042,
0.0007947312551550567,
0.05752063915133476,
0.042269542813301086,
-0.007988439872860909,
0.04776613041758537,
-0.040334124118089676,
-0.023341147229075432,
0.01849292404949665,
0.04285016655921936,
-0.022025063633918762,
0.023883065208792686,
-0.034702055156230927,
-0.008409393951296806,
0.023225022479891777,
-0.01570592075586319,
0.013315679505467415,
-0.014418868348002434,
0.02512173354625702,
0.018628403544425964
] |
Designing molecular structures with desired chemical properties is an
essential task in drug discovery and material design. However, finding
molecules with the optimized desired properties is still a challenging task due
to combinatorial explosion of candidate space of molecules. Here we propose a
novel \emph{decomposition-and-reassembling} based approach, which does not
include any optimization in hidden space and our generation process is highly
interpretable. Our method is a two-step procedure: In the first decomposition
step, we apply frequent subgraph mining to a molecular database to collect
smaller size of subgraphs as building blocks of molecules. In the second
reassembling step, we search desirable building blocks guided via reinforcement
learning and combine them to generate new molecules. Our experiments show that
not only can our method find better molecules in terms of two standard
criteria, the penalized $\log P$ and drug-likeness, but also generate drug
molecules with showing the valid intermediate molecules. | [
0.007094749715179205,
-0.05250026658177376,
-0.03110605664551258,
-0.03513506427407265,
-0.003815682139247656,
-0.00898169819265604,
-0.04848885536193848,
0.011392065323889256,
-0.050037119537591934,
0.041204970329999924,
-0.0004239036061335355,
-0.020708048716187477,
0.050494562834501266,
-0.04996674507856369,
-0.021992404013872147,
0.05834145098924637,
0.0013030499685555696,
-0.01963481865823269,
-0.016608664765954018,
-0.061895422637462616,
0.015148368664085865,
-0.016890166327357292,
0.02065526694059372,
0.019793163985013962,
0.035821229219436646,
-0.009773424826562405,
-0.010961014777421951,
-0.01813933625817299,
-0.104648657143116,
0.09001051634550095,
0.020883986726403236,
0.03955113887786865,
-0.007253095041960478,
0.031123651191592216,
-0.042436543852090836,
0.011779132299125195,
0.012315746396780014,
0.057039499282836914,
0.03490634635090828,
0.0652734562754631,
0.008370309136807919,
-0.005594867747277021,
-0.030543051660060883,
-0.007811702322214842,
0.022889694198966026,
0.008291136473417282,
-0.02484261989593506,
-0.0433514267206192,
-0.015500246547162533,
0.011207329109311104,
-0.019353315234184265,
0.025722317397594452,
0.040395647287368774,
-0.031211620196700096,
-0.007248696405440569,
0.019863540306687355,
0.017470765858888626,
0.028537344187498093,
0.05260583013296127,
0.01775226928293705,
0.012218980118632317,
-0.04475894197821617,
-0.0463423952460289,
0.01707490347325802,
0.017646705731749535,
-0.02325916662812233,
-0.020672859624028206,
-0.008075610734522343,
0.0052165985107421875,
0.02547600120306015,
-0.05978415161371231,
-0.01767309568822384,
-0.03638423606753349,
-0.0015053801471367478,
0.007349861785769463,
-0.022590598091483116,
0.01928294077515602,
0.004521638620644808,
-0.0035165855661034584,
-0.0348183736205101,
-0.0030569443479180336,
0.02077842317521572,
0.00855504535138607,
0.008876134641468525,
0.020936768501996994,
-0.04729246720671654,
0.050248246639966965,
-0.05492822825908661,
-0.003875061636790633,
-0.0300856102257967,
-0.05784882232546806,
0.003316454589366913,
-0.006259038578718901,
0.03585641831159592,
0.004719569813460112,
0.033481236547231674,
0.017980990931391716,
0.014541378244757652,
-0.026144569739699364,
0.004508443176746368,
-0.003749704919755459,
-0.029223507270216942,
0.000572902150452137,
0.018368056043982506,
0.011145750992000103,
-0.0384955033659935,
-0.017206856980919838,
0.03473040461540222,
-0.0078952731564641,
0.12709850072860718,
-0.011444847099483013,
0.01032763347029686,
0.006830840837210417,
0.035997167229652405,
-0.011911086738109589,
-0.06372518837451935,
-0.0331997349858284,
-0.05140944570302963,
-0.03810843825340271,
-0.036032356321811676,
0.0631621852517128,
0.02760486677289009,
-0.024314802139997482,
-0.03656017407774925,
-0.034888751804828644,
0.023223979398608208,
-0.015306713990867138,
-0.03439611941576004,
-0.01643272489309311,
0.08240994065999985,
-0.044231124222278595,
-0.029557792469859123,
0.029628166928887367,
0.01868474669754505,
0.030279142782092094,
0.046412769705057144,
0.025493595749139786,
-0.0010853251442313194,
-0.040606774389743805,
0.0031141245272010565,
0.028836440294981003,
-0.03077177330851555,
-0.034079428762197495,
-0.03694723919034004,
0.07192396372556686,
0.019898727536201477,
-0.03290063887834549,
0.08965863287448883,
-0.005295771174132824,
0.025335250422358513,
-0.06756066530942917,
0.03005042113363743,
0.0023355933371931314,
-0.0023817773908376694,
-0.04292917251586914,
0.0656605213880539,
-0.029540197923779488,
-0.009835002943873405,
0.022854506969451904,
-0.03705280274152756,
0.04289398714900017,
-0.04268286004662514,
0.04152166098356247,
0.0509520024061203,
0.016547085717320442,
0.04046602547168732,
-0.04275323450565338,
0.004614006727933884,
-0.07118501514196396,
0.04328105226159096,
0.028027120977640152,
0.017593923956155777,
0.013714463450014591,
0.030437488108873367,
0.016960542649030685,
-0.0009698650683276355,
0.016160018742084503,
-0.01032763347029686,
-0.013186645694077015,
-0.04071233794093132,
-0.031088463962078094,
0.0011062179692089558,
0.046870213001966476,
0.007767717353999615,
0.016160018742084503,
0.03937520086765289,
0.055807925760746,
-0.03416740149259567,
0.012060634791851044,
0.01800738088786602,
0.011409659869968891,
0.025229686871170998,
0.043245863169431686,
0.00024452805519104004,
0.03474799916148186,
-0.016907760873436928,
-0.052042827010154724,
0.017893020063638687,
-0.035398975014686584,
-0.016195205971598625,
-0.028132684528827667,
-0.05112794414162636,
0.014409423805773258,
-0.012201386503875256,
0.031035682186484337,
0.011022592894732952,
-0.004358894657343626,
-0.0077941082417964935,
0.03017357923090458,
-0.04071233794093132,
0.014990023337304592,
-0.04345699027180672,
-0.05052974820137024,
-0.05038899928331375,
0.03610273078083992,
-0.014110326766967773,
-0.025616753846406937,
-0.020901581272482872,
-0.044442251324653625,
-0.0031251206528395414,
-0.026091787964105606,
-0.009826206602156162,
0.06808848679065704,
-0.015992876142263412,
0.06555496156215668,
0.020848799496889114,
-0.018895873799920082,
-0.0036903254222124815,
-0.00010638825915521011,
0.04088827967643738,
0.003030553460121155,
0.02595103718340397,
0.01924775168299675,
0.027464114129543304,
-0.00382447917945683,
-0.019300533458590508,
-0.005682837218046188,
-0.015500246547162533,
0.009271997958421707,
-0.030560646206140518,
0.018332868814468384,
0.03877700865268707,
-0.02727058157324791,
-0.01877271570265293,
0.08930675685405731,
0.03884738311171532,
-0.015984078869223595,
0.05496341735124588,
0.09261441230773926,
0.055491235107183456,
0.003549574175849557,
-0.026003818958997726,
0.001362429466098547,
0.003666133852675557,
-0.03831956535577774,
-0.007679747883230448,
0.07882077991962433,
-0.05834145098924637,
-0.01907181367278099,
-0.05260583013296127,
0.022819319739937782,
-0.017761066555976868,
0.014479799196124077,
0.023487888276576996,
-0.02475465089082718,
-0.0327598862349987,
0.057426568120718,
-0.009808612056076527,
-0.001818771823309362,
0.06509751826524734,
-0.016819791868329048,
-0.016995729878544807,
-0.046412769705057144,
0.04968523979187012,
-0.012535670772194862,
-0.08825112134218216,
0.056687623262405396,
0.008282339200377464,
0.08775848895311356,
0.017857832834124565,
-0.03089492954313755,
-0.015588216483592987,
0.018104147166013718,
0.044019997119903564,
0.007983243092894554,
-0.03553972765803337,
-0.019019031897187233,
-0.024209238588809967,
-0.06953118741512299,
-0.009359966963529587,
-0.01017808448523283,
-0.011321689933538437,
-0.05190207436680794,
-0.020637672394514084,
-0.01873752847313881,
0.021693307906389236,
-0.024314802139997482,
-0.0044446648098528385,
-0.006184264086186886,
-0.03068380244076252,
-0.09859634935855865,
-0.012579655274748802,
0.0139519814401865,
0.02223872020840645,
-0.014778896234929562,
0.007486214395612478,
0.010705902241170406,
0.09402193129062653,
-0.05478747934103012,
0.0011557008838281035,
0.06678653508424759,
-0.0002996465191245079,
0.0178754273802042,
-0.02376939170062542,
-0.0014262074837461114,
-0.0016626258147880435,
0.0403604619204998,
-0.10943420231342316,
-0.01915978267788887,
-0.0387418195605278,
0.00032878643833100796,
-0.03260153904557228,
-0.10570429265499115,
0.01898384280502796,
0.0108378566801548,
0.03281266614794731,
0.012834767811000347,
0.03305898234248161,
-0.009104855358600616,
0.04127534478902817,
-0.009087261743843555,
-0.0030019632540643215,
-0.08332481980323792,
-0.00038101841346360743,
-0.025968631729483604,
-0.04975561797618866,
-0.02359345182776451,
0.050283435732126236,
-0.02931147627532482,
-0.006791254505515099,
-0.01673182100057602,
-0.025669535622000694,
-0.03265432268381119,
-0.016010470688343048,
0.013670478947460651,
-0.029980046674609184,
-0.036208294332027435,
0.0313347764313221,
0.026566823944449425,
-0.013239427469670773,
0.0009720642701722682,
-0.06583645939826965,
-0.02628532238304615,
0.007195914629846811,
0.030965305864810944,
-0.029768919572234154,
0.03140515461564064,
-0.021024739369750023,
0.025106528773903847,
0.04152166098356247,
0.024948183447122574,
-0.0569339357316494,
-0.011374471709132195,
-0.020584890618920326,
-0.045251570641994476,
0.06703285127878189,
-0.01423348393291235,
0.006646104622632265,
-0.01352972723543644,
0.015139571391046047,
0.005889566149562597,
0.057426568120718,
0.008207565173506737,
0.002377378987148404,
0.021517368033528328,
0.007983243092894554,
-0.003804686013609171,
-0.01192868035286665,
-0.09655545651912689,
0.03212650492787361,
-0.020004291087388992,
0.01258845254778862,
-0.018192118033766747,
-0.000017920374375535175,
-0.047433219850063324,
-0.0011524020228534937,
-0.019194969907402992,
-0.014453408308327198,
0.00002817776839947328,
0.041627224534749985,
0.012729204259812832,
-0.04247173294425011,
0.019898727536201477,
-0.027094641700387,
0.008031626231968403,
-0.06298624724149704,
0.036806490272283554,
0.011814319528639317,
0.04760915786027908,
-0.0031449138186872005,
-0.011154547333717346,
0.0010226467857137322,
-0.01230695005506277,
0.02475465089082718,
-0.025845473632216454,
-0.0022234320640563965,
-0.021323835477232933,
-0.045849766582250595,
0.016573475673794746,
0.026232540607452393,
-0.0000721625765436329,
-0.06020640581846237,
-0.0054365224204957485,
0.005115433130413294,
0.02299525775015354,
0.01864955946803093,
-0.0460960790514946,
-0.023329542949795723,
0.057426568120718,
0.011823116801679134,
0.02440277300775051,
0.0027776407077908516,
-0.007019975688308477,
0.031387560069561005,
-0.009500718675553799,
0.02461390011012554,
0.02415645681321621,
-0.028308622539043427,
-0.010521166026592255,
-0.04493487998843193,
0.0019573241006582975,
0.06844036281108856,
-0.015368292108178139,
-0.06263437122106552,
-0.05809513479471207,
-0.010688308626413345,
-0.019177377223968506,
0.010230866260826588,
-0.029716137796640396,
-0.012940330430865288,
0.01378483884036541,
-0.009905379265546799,
-0.053450338542461395,
-0.01996910385787487,
0.013679275289177895,
0.02628532238304615,
-0.04834810271859169,
-0.033569205552339554,
0.028449375182390213,
-0.030243955552577972,
-0.04757396876811981,
0.02044413983821869,
-0.07565387338399887,
-0.06238805502653122,
0.03466003015637398,
-0.021534962579607964,
-0.03233763203024864,
-0.004105981905013323,
0.07502049207687378,
-0.06537902355194092,
0.016142424196004868,
-0.010274851694703102,
0.0019485270604491234,
-0.030754178762435913,
0.006342609412968159,
0.04901667311787605,
-0.04915742203593254,
0.0007559889345429838,
0.00025717366952449083,
0.009905379265546799,
0.021746089681982994,
0.008075610734522343,
0.006276632193475962,
-0.019142188131809235,
0.001277758739888668,
-0.01835046336054802,
-0.00016810443776194006,
-0.0921921581029892,
0.03627867251634598,
-0.008330723270773888,
0.01209582295268774,
-0.015218744054436684,
0.003615551395341754,
-0.0055068982765078545,
-0.01513077411800623,
0.007275087293237448,
0.09641470015048981,
0.005348552949726582,
0.09472568333148956,
0.04085309058427811,
-0.021218271926045418,
-0.02095436304807663,
-0.08107279986143112,
0.010301242582499981,
0.04972042888402939,
0.02269616164267063,
-0.00516381673514843,
-0.039621517062187195,
0.0419791005551815,
0.024948183447122574,
0.02820305898785591,
-0.05376702919602394,
0.005559680052101612,
-0.017083700746297836,
-0.010635526850819588,
0.01762031391263008,
0.03272469714283943,
0.0077941082417964935,
0.01622159779071808,
-0.02603900618851185,
0.013512133620679379,
-0.018755123019218445,
-0.037791747599840164,
-0.008009633980691433,
-0.027464114129543304,
0.009817409329116344,
-0.012623640708625317,
0.01079387217760086,
0.004913103301078081,
0.050635311752557755,
0.022625785320997238,
0.012218980118632317,
0.011356878094375134,
0.026478854939341545,
-0.06844036281108856,
0.020461732521653175,
0.02266097441315651,
-0.07037569582462311,
0.04458300396800041,
0.0011754940496757627,
-0.01553543470799923,
0.04732765629887581,
-0.009597484953701496,
-0.028906816616654396,
-0.04750359430909157,
-0.007292681373655796,
0.04412556067109108,
-0.0032460789661854506,
-0.007187117822468281,
0.006412985268980265,
0.018420837819576263,
0.01779625378549099,
-0.021112708374857903,
0.026918703690171242,
-0.008036024868488312,
0.013063488528132439,
0.051268693059682846,
-0.026918703690171242,
-0.010741090402007103,
0.02595103718340397,
0.006962795276194811,
0.010802669450640678,
0.0032108910381793976,
-0.0178754273802042,
0.01011650636792183,
-0.04996674507856369,
0.04152166098356247,
-0.021446993574500084,
-0.025071341544389725,
-0.0302087664604187,
0.0103716179728508,
0.0246666818857193,
-0.006008325144648552,
-0.02244984731078148,
-0.0067956531420350075,
-0.03161628171801567,
0.008616624400019646,
0.05091681703925133,
0.0034066233783960342,
0.026637200266122818,
-0.007530199363827705,
-0.018315274268388748,
-0.014558971859514713,
0.02565194107592106,
-0.005550882779061794,
0.023364730179309845,
-0.03216169402003288,
-0.009870191104710102,
0.011726350523531437,
-0.030666209757328033,
0.019863540306687355,
-0.03729911893606186,
-0.008352715522050858,
-0.021411804482340813,
-0.006179865915328264,
0.002775441389530897,
-0.03085974231362343,
-0.044864505529403687,
-0.019916322082281113,
-0.00898169819265604,
-0.03341086208820343,
0.028308622539043427,
0.025880660861730576,
0.007464222144335508,
-0.04029008373618126,
-0.0036177504807710648,
0.008480271324515343,
-0.017479563131928444,
0.041627224534749985,
-0.040430836379528046,
-0.03652498498558998,
0.029205912724137306,
0.009104855358600616,
0.004270925186574459,
-0.009826206602156162,
-0.007912866771221161,
0.035187847912311554,
0.013045893982052803,
0.002260819310322404,
-0.019617224112153053,
0.013063488528132439,
0.013837620615959167,
-0.017136482521891594,
-0.05102238059043884,
0.019599631428718567,
-0.002114569768309593,
0.00042005491559393704,
0.008379106409847736,
-0.03768618404865265,
-0.04007895663380623,
0.0049482909962534904,
-0.05337996408343315,
0.03383311629295349,
-0.027165018022060394,
0.011981462128460407,
0.03154590353369713,
-0.016995729878544807,
-0.01192868035286665,
0.004561224952340126,
-0.005546484608203173,
-0.03652498498558998,
-0.004521638620644808,
-0.07551311701536179,
-0.0216757133603096,
-0.00006546176882693544,
-0.008502263575792313,
-0.02982170134782791,
0.06214173883199692,
0.02244984731078148,
0.03627867251634598,
-0.04595533013343811,
0.03050786443054676,
-0.0035583709832280874,
-0.0034396119881421328,
-0.0008434086921624839,
-0.004697577562183142,
0.043844059109687805,
-0.014990023337304592,
0.035011909902095795,
-0.007604973390698433,
-0.018121741712093353,
0.020215418189764023,
0.03460724651813507,
0.0435977429151535,
-0.007763318717479706,
-0.05651168152689934,
-0.012852361425757408,
0.011427253484725952,
0.011840710416436195,
0.037404682487249374,
0.031475529074668884,
0.03627867251634598,
-0.007033171132206917,
0.021992404013872147,
0.002300405642017722,
0.01489325612783432,
-0.012729204259812832,
0.0507056899368763,
0.019441286101937294,
0.05271139368414879,
-0.018368056043982506,
-0.019318128004670143,
-0.021746089681982994,
0.015174759551882744,
-0.005093440879136324,
-0.015377089381217957,
-0.007090351078659296,
0.018702341243624687,
-0.015500246547162533,
-0.03191537782549858,
-0.040606774389743805,
-0.023311948403716087,
-0.036630548536777496,
0.03513506427407265,
-0.006808848585933447,
-0.00414996687322855,
-0.023417511954903603,
0.015051601454615593,
-0.04074752703309059,
0.013397772796452045,
-0.01728603057563305,
-0.001830867724493146,
-0.002667678752914071,
0.01393438782542944,
-0.01616881601512432,
0.015438668429851532,
0.0012260765070095658,
-0.021359022706747055,
0.017039714381098747,
0.0020639870781451464,
0.019441286101937294,
0.01668783649802208,
0.009782221168279648,
0.01685497909784317,
0.04412556067109108,
-0.023206384852528572,
0.007899671792984009,
-0.043034736067056656,
0.0062370458617806435,
0.006157873198390007,
0.03652498498558998,
0.044653378427028656,
-0.02355826459825039,
-0.021359022706747055,
0.024420365691184998,
0.015737764537334442,
-0.0030987297650426626,
-0.0207432359457016,
-0.004453462082892656,
0.03068380244076252,
-0.020127449184656143,
0.002317999489605427,
0.004334703087806702,
-0.08564721792936325,
0.04792584851384163,
-0.02820305898785591,
0.014259874820709229,
0.016573475673794746,
0.03135237097740173,
-0.012702813372015953,
0.002760046860203147,
-0.005981934256851673,
-0.04127534478902817,
0.04479413107037544,
-0.041240155696868896,
0.011084171943366528,
-0.0074422298930585384,
0.03047267533838749,
-0.01565859280526638,
-0.031229214742779732,
0.022045185789465904,
0.014585362747311592,
0.04669427499175072,
-0.003943237941712141,
0.02164052613079548,
0.03948076441884041,
-0.02829102985560894,
0.006245843134820461,
0.022924883291125298,
0.03610273078083992,
0.051057565957307816,
-0.04817216470837593,
0.04257729649543762,
0.010741090402007103,
-0.021957216784358025,
0.010485978797078133,
0.005031862296164036,
0.008568241260945797,
0.007072757463902235,
-0.003518784651532769,
-0.018491214141249657,
-0.00720031326636672,
0.030578238889575005,
0.05401334539055824,
-0.0018341665854677558,
0.020620077848434448,
-0.029381852596998215,
0.0009737137006595731,
-0.006496556103229523,
-0.022326689213514328,
0.000886293884832412,
-0.02005707286298275,
0.02389254793524742,
-0.04919261112809181,
0.020021885633468628,
-0.03038470633327961,
-0.04032527282834053,
0.022924883291125298,
-0.058904457837343216,
0.09444418549537659,
-0.01949406787753105,
-0.01873752847313881,
0.02786877565085888,
0.04588495194911957,
-0.005489304196089506,
-0.0035627696197479963,
0.024684274569153786,
-0.012166198343038559,
0.012720406986773014,
-0.0011326088570058346,
-0.0017253041733056307,
-0.021112708374857903,
0.008946510031819344,
-0.012905143201351166,
0.04613126814365387,
0.012113416567444801,
-0.004750359337776899,
-0.005854377988725901,
0.015350698493421078,
-0.012051837518811226,
0.03175703063607216,
0.008194370195269585,
-0.017805051058530807,
0.06819404661655426,
-0.03743986785411835,
-0.023223979398608208,
-0.03473040461540222,
0.007987641729414463,
-0.018368056043982506,
0.011506426148116589,
0.0224850345402956,
0.03884738311171532,
-0.001955124782398343,
0.046272020787000656,
0.023136010393500328,
-0.009351170621812344,
-0.000603691500145942,
0.009623875841498375,
-0.018807904794812202,
-0.009588688611984253,
-0.015649795532226562,
-0.004321507643908262,
0.020320981740951538,
0.014928444288671017,
-0.0021585545036941767,
-0.04370330646634102,
0.020514514297246933,
0.005550882779061794,
-0.014339047484099865,
-0.001729702576994896,
0.04468856751918793,
0.02619735151529312,
-0.013142661191523075,
0.0020419948268681765,
-0.021746089681982994,
0.029892075806856155,
0.012051837518811226,
0.00949192140251398,
0.03314695134758949,
0.01723324880003929,
-0.03589160367846489,
-0.00013264169683679938,
-0.036595363169908524,
-0.0401141457259655,
-0.048664793372154236,
0.008467075414955616,
-0.009254403412342072,
0.0056608449667692184,
-0.024719463661313057,
0.015676185488700867,
-0.020461732521653175,
-0.01886068657040596,
0.007037569303065538,
0.00919282529503107,
-0.020285794511437416,
0.013608899898827076,
0.032883044332265854,
0.01903662458062172,
-0.04514600709080696,
0.0007460923516191542,
0.05883407965302467,
0.01886068657040596,
-0.0051462226547300816,
-0.019793163985013962,
0.028695689514279366,
0.003120722249150276,
-0.007072757463902235,
-0.0074598235078155994,
-0.021904435008764267,
-0.04078271612524986,
0.012447700835764408,
-0.00014281317999120802,
-0.043844059109687805,
0.017681892961263657,
0.015482652932405472,
0.013045893982052803,
0.013441757299005985,
-0.016309566795825958,
-0.026214946061372757,
-0.0018132737604901195,
0.02470186911523342,
-0.029927264899015427,
0.002133263275027275,
-0.021024739369750023,
0.03209131583571434,
-0.018755123019218445,
-0.004596412647515535,
-0.0014218089636415243,
-0.023611046373844147,
-0.034888751804828644,
-0.026232540607452393,
0.052887335419654846,
-0.060276784002780914,
-0.005999527871608734,
0.004189553204923868,
0.01468212902545929,
0.009113652631640434,
0.021147895604372025,
-0.027921557426452637,
0.009157637134194374,
0.0008884931448847055,
-0.03216169402003288,
-0.01546505931764841,
0.017805051058530807,
0.022608192637562752,
-0.010213272646069527,
-0.004086188971996307,
-0.04116978123784065,
0.07202952355146408,
0.03223206847906113,
0.006703285034745932,
-0.02053210884332657,
0.014664535410702229,
-0.0015944493934512138,
0.0034813976380974054,
0.016151221469044685,
0.02586306817829609,
0.015816938132047653,
0.027235394343733788,
-0.012606046162545681,
-0.04078271612524986,
0.031053274869918823,
0.0292762890458107,
0.025933442637324333,
-0.032408006489276886,
0.04095865413546562,
-0.04057158902287483,
0.055280108004808426,
0.003637543646618724,
-0.004895509220659733,
-0.027552084997296333,
0.03323492035269737,
0.03161628171801567,
0.0068616303615272045,
0.02820305898785591,
-0.03128199651837349,
-0.01681099459528923,
-0.02364623360335827,
0.01119853276759386,
-0.014726114459335804,
-0.014902053400874138,
0.03694723919034004,
-0.003591359592974186,
0.021992404013872147,
0.03128199651837349,
-0.00951831229031086,
0.027903962880373,
0.06182504817843437,
-0.01668783649802208,
-0.014954835176467896,
-0.033516425639390945,
-0.014110326766967773,
-0.007613770663738251,
-0.002526927273720503,
-0.04176797345280647,
-0.0067472695372998714,
0.017171669751405716,
0.024262020364403725,
0.0049834786914289,
0.02440277300775051,
0.031633876264095306,
0.0039564333856105804,
-0.03050786443054676,
-0.03694723919034004,
-0.03223206847906113,
-0.007499409839510918,
-0.0024785439018160105,
-0.019810758531093597,
-0.03796768561005592,
-0.014127920381724834,
0.011400862596929073,
-0.02436758391559124,
0.00003783380816457793,
0.03617310896515846,
0.00972943939268589,
-0.0322672575712204,
-0.019054219126701355,
0.0011952872155234218,
-0.013142661191523075,
-0.011066578328609467,
0.04613126814365387,
-0.01329220924526453,
-0.011189735494554043,
0.004825133364647627,
-0.027886368334293365,
-0.047644346952438354,
0.006646104622632265,
0.0034088226966559887,
-0.01963481865823269,
-0.01748836040496826,
0.013019503094255924,
-0.007055163383483887,
0.02939944714307785,
-0.04211985319852829,
-0.039586327970027924,
-0.0053881392814219,
0.03173943981528282,
-0.023716609925031662,
0.02500096522271633,
-0.0013602302642539144,
0.013811229728162289,
-0.023452701047062874,
-0.021007144823670387,
0.040184520184993744,
0.05457635223865509,
-0.033604394644498825,
0.022889694198966026,
0.0343785285949707,
-0.027516895905137062,
0.050283435732126236,
0.013388975523412228,
0.04176797345280647,
-0.006113888695836067,
0.027252987027168274,
0.0034550067503005266,
-0.031211620196700096,
-0.020039478316903114,
0.031035682186484337,
-0.009333576075732708,
-0.028906816616654396,
0.05102238059043884,
-0.060910165309906006,
-0.018192118033766747,
-0.0032108910381793976
] |
We introduce EPIC-SOUNDS, a large-scale dataset of audio annotations
capturing temporal extents and class labels within the audio stream of the
egocentric videos. We propose an annotation pipeline where annotators
temporally label distinguishable audio segments and describe the action that
could have caused this sound. We identify actions that can be discriminated
purely from audio, through grouping these free-form descriptions of audio into
classes. For actions that involve objects colliding, we collect human
annotations of the materials of these objects (e.g. a glass object being placed
on a wooden surface), which we verify from visual labels, discarding
ambiguities. Overall, EPIC-SOUNDS includes 78.4k categorised segments of
audible events and actions, distributed across 44 classes as well as 39.2k
non-categorised segments. We train and evaluate two state-of-the-art audio
recognition models on our dataset, highlighting the importance of audio-only
labels and the limitations of current models to recognise actions that sound. | [
0.006452493369579315,
0.015274519100785255,
-0.03149307519197464,
-0.03236158937215805,
-0.0535835437476635,
0.004602180793881416,
-0.026187587529420853,
0.03236158937215805,
-0.028642084449529648,
0.03400421515107155,
-0.01057321485131979,
-0.03319234400987625,
0.02465824782848358,
0.0027164665516465902,
0.00041714636608958244,
-0.003570820204913616,
-0.005074199289083481,
-0.03772372007369995,
0.005522616673260927,
0.005966314114630222,
-0.00047732872189953923,
0.005602859891951084,
-0.024507202208042145,
-0.03912089392542839,
0.033947572112083435,
0.013395885936915874,
0.02110866829752922,
0.022732412442564964,
-0.04818364977836609,
0.08012986183166504,
0.029567239806056023,
-0.01665281318128109,
0.007358768954873085,
0.023600926622748375,
-0.012414087541401386,
0.010488251224160194,
0.03812021389603615,
0.013471408747136593,
0.037610433995723724,
-0.0054329331032931805,
-0.030435753986239433,
0.0009806185262277722,
-0.0387432798743248,
-0.04807036742568016,
-0.04406764730811119,
0.017209794372320175,
-0.04221733659505844,
-0.011762701906263828,
-0.046597667038440704,
0.044785115867853165,
0.025734450668096542,
-0.04716408997774124,
-0.05709536001086235,
-0.031965095549821854,
-0.07518310844898224,
0.0059568737633526325,
0.04848574101924896,
-0.013216518796980381,
0.0655539333820343,
0.018739135935902596,
0.03251263499259949,
0.017493005841970444,
-0.06581826508045197,
0.050109487026929855,
0.0040829600766301155,
-0.059210002422332764,
0.032342709600925446,
-0.01146060973405838,
0.019390521571040154,
0.003072840627282858,
0.02341211773455143,
-0.03604333475232124,
-0.045729152858257294,
0.04678647592663765,
0.03919641673564911,
-0.019484924152493477,
0.03470280021429062,
0.04353898763656616,
-0.004295368678867817,
0.00254653999581933,
-0.0011995170498266816,
0.005881350953131914,
0.03591116890311241,
0.07929911464452744,
0.09168487787246704,
-0.06921679526567459,
-0.07786417752504349,
-0.07620266824960709,
0.05094023793935776,
-0.060456130653619766,
-0.0282455887645483,
-0.017530767247080803,
-0.010526012629270554,
0.008722902275621891,
-0.02309114672243595,
-0.015359482727944851,
0.03292801231145859,
-0.027962377294898033,
-0.09168487787246704,
-0.029453955590724945,
0.018956264480948448,
-0.012772820889949799,
-0.01574653759598732,
-0.0680084303021431,
-0.024299513548612595,
0.012149756774306297,
-0.027226028963923454,
0.032210543751716614,
-0.023770852014422417,
0.0774865597486496,
0.07975225150585175,
-0.008350007236003876,
0.05263950675725937,
-0.02093874104321003,
-0.024431679397821426,
0.001760629122145474,
0.017785657197237015,
-0.013169316574931145,
0.000977668329142034,
0.002763668540865183,
-0.019711492583155632,
0.03107769973576069,
0.0069953142665326595,
0.013716857880353928,
0.020410081371665,
0.09780223667621613,
0.04104673117399216,
-0.0030799207743257284,
-0.004385052248835564,
0.02898193709552288,
0.00818480085581541,
0.01325428020209074,
-0.04236838221549988,
0.057359691709280014,
0.04010269418358803,
-0.010610976256430149,
0.00028675125213339925,
0.030888892710208893,
0.01506683137267828,
0.029907094314694405,
-0.020410081371665,
0.041650913655757904,
-0.014774180017411709,
-0.019560446962714195,
0.007193562109023333,
-0.012933307327330112,
-0.006693222559988499,
0.05581146851181984,
0.01471753790974617,
-0.004500696435570717,
-0.04633333906531334,
0.004309528972953558,
-0.01842760294675827,
0.0222603939473629,
-0.0052913278341293335,
-0.016633933410048485,
-0.039422985166311264,
-0.055131763219833374,
0.005097799934446812,
-0.000210638259886764,
0.06260854005813599,
-0.013679096475243568,
0.021297475323081017,
0.004904272500425577,
0.017200354486703873,
0.0033489714842289686,
-0.0037147856783121824,
-0.04542706161737442,
0.005569818429648876,
0.04278375953435898,
0.04644662141799927,
-0.012093114666640759,
-0.050978001207113266,
0.000556686834897846,
0.03772372007369995,
0.04278375953435898,
0.037497151643037796,
0.08390600979328156,
-0.0750320628285408,
0.04183972254395485,
-0.035099297761917114,
0.04482287913560867,
0.01764405146241188,
-0.009421490132808685,
-0.012801142409443855,
0.023110026493668556,
0.07590057700872421,
0.008373608812689781,
0.0021229032427072525,
-0.014566491357982159,
-0.013745179399847984,
0.039762839674949646,
0.025111384689807892,
0.012895545922219753,
-0.0032899691723287106,
-0.02299674227833748,
0.020561126992106438,
0.012178078293800354,
-0.006848988588899374,
-0.006381690502166748,
-0.09817985445261002,
-0.019843658432364464,
0.027056101709604263,
-0.013707417994737625,
-0.009506452828645706,
0.03870552033185959,
0.025526762008666992,
0.02037231996655464,
0.042934805154800415,
-0.08828634768724442,
0.010771462693810463,
0.006122080143541098,
-0.02518690750002861,
0.01088474690914154,
-0.022864576429128647,
0.017747895792126656,
0.04459631070494652,
0.03560907766222954,
0.06989650428295135,
-0.01657729037106037,
0.06109807640314102,
-0.020391199737787247,
0.0338154062628746,
0.04406764730811119,
-0.03264480084180832,
-0.02679177187383175,
-0.0040522790513932705,
0.008217842318117619,
0.06683782488107681,
-0.011158517561852932,
0.0552450492978096,
-0.04848574101924896,
-0.02114642970263958,
-0.010913068428635597,
0.0021937061101198196,
0.0010767922503873706,
0.004453494679182768,
0.0003914803673978895,
0.017238115891814232,
-0.003393813269212842,
0.01801222749054432,
0.02939731255173683,
-0.06260854005813599,
-0.0031412832904607058,
-0.0020886820275336504,
-0.014934666454792023,
0.06997202336788177,
0.042481668293476105,
0.05584923177957535,
-0.024828175082802773,
-0.06207987666130066,
0.00016594401677139103,
-0.005522616673260927,
0.0033584118355065584,
-0.01473641861230135,
0.03821462020277977,
0.03857335448265076,
-0.009209081530570984,
0.0019246555166319013,
-0.008892828598618507,
0.04663543030619621,
-0.007018915377557278,
-0.05226188898086548,
0.0490521639585495,
-0.054603103548288345,
-0.011035793460905552,
0.007656140252947807,
-0.05305488035082817,
-0.014377684332430363,
-0.061891067773103714,
-0.0020662611350417137,
0.03853559121489525,
-0.06253301352262497,
-0.019522685557603836,
-0.0077269431203603745,
0.001988378120586276,
0.08148927986621857,
-0.010686499066650867,
-0.01838040165603161,
0.02131635695695877,
-0.018805216997861862,
-0.003436294849961996,
0.011385086923837662,
-0.006089039146900177,
0.0034764164593070745,
0.008109278045594692,
0.03289024904370308,
0.015350041911005974,
-0.0041301618330180645,
-0.00966693926602602,
0.009171320125460625,
-0.043387942016124725,
-0.07945016026496887,
0.06974545866250992,
0.00869930163025856,
0.02456384338438511,
-0.023978540673851967,
-0.003745466936379671,
-0.017700694501399994,
-0.0362699031829834,
0.0020556405652314425,
0.007278525736182928,
-0.016766097396612167,
0.0371006540954113,
-0.023978540673851967,
0.0026456639170646667,
-0.002238547895103693,
0.07929911464452744,
-0.034646160900592804,
-0.07741104066371918,
-0.014254959300160408,
0.015576611272990704,
0.021863898262381554,
0.03360771760344505,
0.00017420433869119734,
-0.004049919079989195,
0.01149837113916874,
-0.041575390845537186,
-0.004800428170710802,
-0.04233062267303467,
0.025413477793335915,
0.000488834164571017,
-0.13057920336723328,
0.06880141794681549,
0.026206469163298607,
-0.003035078989341855,
-0.003046879544854164,
-0.019938062876462936,
0.03870552033185959,
-0.01384902372956276,
-0.01769125461578369,
-0.03619438037276268,
-0.02382749505341053,
0.031927332282066345,
0.056906551122665405,
0.02477153204381466,
-0.05588699132204056,
0.004628141410648823,
0.009577255696058273,
-0.029416194185614586,
0.0037478271406143904,
-0.006815947592258453,
-0.034400708973407745,
0.0031342029105871916,
-0.0011015732306987047,
0.0011971569620072842,
0.025583403185009956,
0.030265826731920242,
-0.01644512452185154,
-0.0055367774330079556,
0.0010225101141259074,
-0.04584243893623352,
-0.012999390251934528,
0.0047201854176819324,
-0.014660894870758057,
-0.025092504918575287,
-0.044709593057632446,
-0.012593453750014305,
0.02951059862971306,
0.031266506761312485,
-0.0004186214355286211,
-0.04448302462697029,
0.01302771084010601,
-0.002289289841428399,
-0.06880141794681549,
0.01858808845281601,
-0.021203072741627693,
0.034570638090372086,
-0.0007599497912451625,
-0.0016308239428326488,
-0.02065552957355976,
0.032625921070575714,
-0.029567239806056023,
-0.0013098514173179865,
-0.040669117122888565,
0.05256398394703865,
0.014811941422522068,
0.006320327986031771,
-0.05173322930932045,
0.03372100368142128,
-0.03677968308329582,
0.042066290974617004,
0.046484384685754776,
-0.00104906118940562,
-0.03160636126995087,
0.05297935754060745,
-0.005843589082360268,
0.03281472623348236,
-0.03302241489291191,
-0.0175213273614645,
-0.009303485043346882,
0.006197602953761816,
-0.04720185324549675,
-0.020712172612547874,
0.05849253386259079,
-0.008571856655180454,
-0.018238795921206474,
-0.006650740746408701,
0.02229815535247326,
0.030077019706368446,
-0.030567919835448265,
0.042028527706861496,
0.04765499010682106,
0.02766028605401516,
0.026074303314089775,
0.0017346680397167802,
0.014774180017411709,
0.030473515391349792,
0.009251562878489494,
0.0021689250133931637,
0.012536811642348766,
0.04950530081987381,
0.01640736311674118,
0.01022392138838768,
-0.011101875454187393,
0.014915784820914268,
-0.00880314502865076,
-0.016954904422163963,
0.05622684583067894,
0.06328824162483215,
-0.04319913685321808,
0.0033466112799942493,
0.012838903814554214,
0.02696169726550579,
-0.03358883783221245,
0.023393237963318825,
-0.04289704188704491,
0.005857749842107296,
0.011319003999233246,
-0.01018615998327732,
-0.001303951139561832,
-0.020749934017658234,
0.04486063867807388,
-0.04353898763656616,
0.007745823822915554,
0.024884816259145737,
-0.0001314276596531272,
-0.018994025886058807,
0.0026338633615523577,
0.019466044381260872,
-0.06985874474048615,
-0.003275808645412326,
-0.015217876993119717,
-0.03808245435357094,
-0.01768181286752224,
-0.09228906035423279,
-0.053696826100349426,
-0.011507811956107616,
-0.0022999101784080267,
0.007481493521481752,
-0.03677968308329582,
0.05581146851181984,
-0.04308585077524185,
-0.042972564697265625,
0.08186689019203186,
0.0313231498003006,
0.023279953747987747,
-0.015387803316116333,
0.044709593057632446,
-0.05615132302045822,
-0.033286746591329575,
0.0449361614882946,
0.03400421515107155,
-0.013820702210068703,
-0.009544214233756065,
0.0032522075343877077,
-0.06623364239931107,
0.017256997525691986,
0.009884067811071873,
0.07186009734869003,
-0.02539459615945816,
-0.0655539333820343,
-0.02922738716006279,
0.01924891583621502,
-0.025337954983115196,
0.014660894870758057,
-0.004927873145788908,
0.011366206221282482,
0.04301032796502113,
-0.018493685871362686,
0.026395276188850403,
-0.014934666454792023,
-0.0076466999016702175,
-0.006712103262543678,
0.02254360541701317,
0.01475529931485653,
0.03162524104118347,
0.018937382847070694,
0.003745466936379671,
-0.030039258301258087,
-0.0043449304066598415,
0.026565201580524445,
-0.006679062265902758,
0.010837545618414879,
0.03511817753314972,
-0.022694651037454605,
-0.012206398881971836,
-0.041613154113292694,
0.07533415406942368,
-0.043350182473659515,
-0.0062353648245334625,
-0.06664901226758957,
-0.017710134387016296,
-0.0003059270093217492,
0.03236158937215805,
0.015227317810058594,
0.018314318731427193,
0.012631215155124664,
-0.0018668333068490028,
0.002881673164665699,
-0.005555658135563135,
0.027792450040578842,
0.027112744748592377,
-0.012187518179416656,
-0.06442108750343323,
0.01702098734676838,
0.014962987042963505,
0.025621164590120316,
-0.017134271562099457,
0.010610976256430149,
-0.018578648567199707,
0.00045903801219537854,
-0.036949608474969864,
0.04044254869222641,
-0.07423907518386841,
0.0338154062628746,
0.03611885756254196,
0.048712313175201416,
-0.0008077417151071131,
-0.04599348455667496,
-0.03830902278423309,
-0.003110602032393217,
-0.050185009837150574,
-0.046975284814834595,
-0.014188876375555992,
0.013329803012311459,
-0.004028677940368652,
0.023638688027858734,
0.024714889004826546,
-0.04085792228579521,
-0.0544142946600914,
0.033985331654548645,
-0.0029099942184984684,
0.0007127479766495526,
-0.04036702215671539,
-0.02647079899907112,
-0.004101840779185295,
-0.018002785742282867,
-0.017011547461152077,
0.05007172375917435,
0.03211614117026329,
-0.006570497993379831,
0.0197870172560215,
0.036458712071180344,
-0.006679062265902758,
-0.0022444480564445257,
-0.010960269719362259,
0.0366852805018425,
0.004937313497066498,
0.04316137358546257,
-0.003094081301242113,
-0.03785588592290878,
-0.01179102249443531,
0.04127329960465431,
-0.0025701408740133047,
0.01288610603660345,
0.04187748208642006,
0.05381011217832565,
-0.013650775887072086,
0.010620417073369026,
0.005895511247217655,
-0.04406764730811119,
-0.003301769495010376,
-0.019466044381260872,
0.00019441262702457607,
0.0001601912808837369,
-0.022845696657896042,
-0.046069007366895676,
-0.04754170402884483,
0.0102050406858325,
0.013905665837228298,
0.04051807150244713,
0.002323511056602001,
0.01715315319597721,
0.0021689250133931637,
-0.018701374530792236,
0.030077019706368446,
-0.04357675090432167,
-0.023921899497509003,
0.07321951538324356,
-0.03128538653254509,
0.05297935754060745,
-0.0077269431203603745,
0.0031389230862259865,
-0.05475414916872978,
0.009190200828015804,
-0.0317574068903923,
0.018748575821518898,
0.03602445498108864,
0.013726298697292805,
0.03243711218237877,
0.039838362485170364,
-0.044331979006528854,
0.04270823672413826,
0.009308204986155033,
0.015519969165325165,
0.08133823424577713,
-0.035061534494161606,
-0.010450489819049835,
0.03145531564950943,
0.009836865589022636,
-0.020145749673247337,
0.02605542168021202,
0.010771462693810463,
0.03619438037276268,
0.014991308562457561,
0.08239555358886719,
0.0001655014930292964,
0.007703342474997044,
-0.009072195738554,
-0.028472157195210457,
-0.028925294056534767,
0.027226028963923454,
0.01001623272895813,
0.04180195927619934,
-0.021693971008062363,
-0.019975824281573296,
-0.03623213991522789,
-0.006612979341298342,
0.046144530177116394,
-0.03755379468202591,
-0.018437042832374573,
-0.004691863898187876,
0.010271122679114342,
-0.006962273269891739,
0.006216484121978283,
0.04776827245950699,
0.016747217625379562,
0.020051347091794014,
-0.021675091236829758,
-0.005546217784285545,
-0.02898193709552288,
-0.003575540380552411,
0.04074463993310928,
-0.004165563266724348,
0.02403518371284008,
0.008189521729946136,
-0.014066152274608612,
0.0150479506701231,
0.02424287050962448,
0.008534095250070095,
0.01300883013755083,
0.012687858194112778,
0.02584773488342762,
-0.007948791608214378,
0.003275808645412326,
0.06732872128486633,
0.012187518179416656,
-0.013613014481961727,
-0.004363811109215021,
0.03162524104118347,
-0.06238196790218353,
-0.007958232425153255,
-0.042406145483255386,
-0.006509135477244854,
-0.01905066706240177,
-0.010865866206586361,
-0.025998780503869057,
-0.04146210849285126,
0.04089568555355072,
0.014793060719966888,
-0.07042516022920609,
0.007967672310769558,
-0.02016463130712509,
0.0030067579355090857,
-0.009600856341421604,
0.019768135622143745,
0.001621383591555059,
0.021863898262381554,
-0.01821991428732872,
0.0002588726638350636,
-0.005149722099304199,
0.0012119075981900096,
-0.027981257066130638,
0.004479455761611462,
-0.004236366134136915,
0.029170744121074677,
-0.009034434333443642,
0.017162593081593513,
-0.0009558374877087772,
0.044218696653842926,
0.026810651645064354,
-0.0457669161260128,
0.02316666953265667,
-0.02003246545791626,
-0.013301481492817402,
-0.012206398881971836,
0.020013585686683655,
-0.046937521547079086,
0.047919321805238724,
-0.016105271875858307,
0.013669656589627266,
-0.01177214179188013,
0.016464006155729294,
0.05837925150990486,
0.04625781625509262,
-0.01579373888671398,
-0.04316137358546257,
0.0175213273614645,
-0.025130266323685646,
-0.0012874305248260498,
0.026980578899383545,
0.04063135385513306,
-0.0033536916598677635,
0.05887015163898468,
0.019097870215773582,
0.004434613976627588,
-0.029170744121074677,
0.025337954983115196,
0.045729152858257294,
0.025489000603556633,
0.006013515871018171,
-0.008661540225148201,
-0.02996373549103737,
-0.030851131305098534,
0.032418232411146164,
0.0375160314142704,
-0.023563165217638016,
0.004569139331579208,
0.016180794686079025,
0.002361272694543004,
-0.038894325494766235,
0.007623099256306887,
0.006551617290824652,
-0.00331829022616148,
-0.03908313438296318,
-0.009770783595740795,
-0.0041301618330180645,
0.007651420310139656,
0.0102050406858325,
0.029491716995835304,
-0.03846006840467453,
0.02312890812754631,
0.035684600472450256,
-0.022977862507104874,
0.02745259739458561,
0.05902119725942612,
0.02543235756456852,
-0.0342119038105011,
-0.06623364239931107,
-0.01053545344620943,
-0.029359551146626472,
-0.004694224335253239,
-0.03362660109996796,
-0.0228834580630064,
-0.03598669171333313,
-0.016548968851566315,
0.008755943737924099,
-0.022940099239349365,
0.036666397005319595,
-0.011470049619674683,
0.006089039146900177,
-0.021618448197841644,
-0.014774180017411709,
0.02647079899907112,
0.005933272652328014,
-0.0040829600766301155,
-0.010252241976559162,
-0.004998676013201475,
-0.008888108655810356,
0.005923832301050425,
-0.01920171268284321,
0.026659606024622917,
-0.004894832149147987,
0.02898193709552288,
-0.028094543144106865,
0.0325692780315876,
0.004663542844355106,
-0.01961709000170231,
-0.039422985166311264,
-0.026867294684052467,
0.004427533596754074,
-0.026319753378629684,
-0.03128538653254509,
-0.01583150029182434,
0.01657729037106037,
0.02263800799846649,
-0.02490369789302349,
-0.05343249812722206,
0.030473515391349792,
0.009506452828645706,
-0.0371006540954113,
0.002480457304045558,
0.0164828859269619,
0.022335916757583618,
-0.0073540485464036465,
-0.02749035879969597,
0.017993345856666565,
-0.05177099257707596,
-0.020410081371665,
0.012111995369195938,
-0.0051544420421123505,
0.031474195420742035,
0.03005813993513584,
0.03987612575292587,
-0.013764060102403164,
-0.004861790686845779,
0.01022392138838768,
-0.024752650409936905,
-0.007311566732823849,
0.016331840306520462,
-0.031436432152986526,
0.01057321485131979,
0.020259035751223564,
0.026772890239953995,
-0.01950380578637123,
-0.048410218209028244,
0.016803858801722527,
0.01661505177617073,
0.05067590996623039,
-0.012461288832128048,
-0.034853845834732056,
0.01661505177617073,
0.014764739200472832,
0.009827425703406334,
0.017172032967209816,
0.03806357458233833,
0.006155121605843306,
0.034853845834732056,
0.007731663528829813,
-0.018087750300765038,
0.012489610351622105,
-0.01850312575697899,
-0.025319073349237442,
-0.06377914547920227,
0.021863898262381554,
0.030454635620117188,
0.04104673117399216,
-0.0019329158822074533,
0.023468760773539543,
0.01582206040620804,
0.022656889632344246,
-0.00962445791810751,
-0.005333809182047844,
0.015727657824754715,
-0.018701374530792236,
-0.0034976571332663298,
-0.019768135622143745,
-0.01769125461578369,
0.021335236728191376,
-0.0007670301129110157,
0.021410759538412094,
0.005985194817185402,
-0.018559768795967102,
-0.017464686185121536,
0.029416194185614586,
-0.0257722120732069,
0.012895545922219753,
0.02403518371284008,
0.020126869902014732,
0.05800163745880127,
-0.018116069957613945,
-0.03744050860404968,
0.053772348910570145,
-0.002872232813388109,
0.012300802394747734,
-0.02007022686302662,
-0.06408123672008514,
-0.02716938592493534,
-0.012168637476861477,
-0.018314318731427193,
0.020636649802327156,
0.028830891475081444,
-0.03383428603410721,
0.015925904735922813,
0.009388448670506477,
-0.039422985166311264,
0.015944786369800568,
-0.024337274953722954,
-0.013613014481961727,
-0.015586051158607006,
0.038894325494766235,
0.055547140538692474,
-0.025035861879587173,
0.053772348910570145,
0.004993956070393324,
-0.010384407825767994,
0.003976756241172552,
0.03702513128519058,
-0.021372998133301735,
0.011866545304656029,
0.008364167995750904,
-0.013886785134673119,
-0.006136240903288126,
0.023714210838079453,
-0.025319073349237442,
-0.041537631303071976,
-0.001549400738440454,
-0.0008313425933010876,
-0.03564683720469475,
0.012536811642348766,
-0.011819344013929367,
-0.014925225637853146,
-0.013509170152246952,
-0.0038611115887761116,
0.012980509549379349,
0.0037171458825469017,
0.0013995348708704114,
0.027924615889787674,
0.0008856247295625508,
-0.01640736311674118,
-0.04588019847869873,
0.00042717676842585206,
-0.025507880374789238,
-0.0009463971364311874,
-0.051959797739982605,
0.013358124531805515,
0.032002855092287064,
0.06815947592258453,
0.0016272838693112135,
0.0023093505296856165,
0.05754849687218666,
0.009714141488075256,
0.05720864608883858,
-0.06902799010276794,
-0.023506522178649902,
0.014849702827632427,
-0.000630734721198678,
0.005819988436996937,
0.017530767247080803,
0.012829462997615337,
0.03657199442386627,
0.0022078666370362043,
-0.0036369026638567448,
0.013556372374296188,
0.006716823671013117,
-0.0041301618330180645,
-0.04127329960465431,
-0.01579373888671398,
0.012338563799858093,
0.0024662967771291733,
0.031058818101882935,
-0.036420948803424835,
-0.02501698210835457,
0.03511817753314972,
-0.005659501999616623,
0.04708856716752052,
0.01755908876657486,
-0.036741919815540314,
0.023884136229753494,
-0.02988821268081665,
0.004304809030145407,
-0.02271353080868721,
0.005489575210958719,
-0.07692013680934906,
0.008208402432501316,
-0.024582725018262863,
0.019484924152493477,
-0.010195599868893623,
-0.005494295619428158,
-0.03309793770313263,
-0.016511207446455956,
-0.0478060357272625,
0.005239405669271946,
0.021127548068761826,
0.02069329284131527,
-0.0003495887212920934,
-0.0659315437078476,
-0.00002063237116090022,
-0.015142354182898998,
-0.002966636326164007,
0.0032522075343877077,
-0.0016438044840469956,
-0.009969031438231468,
-0.02448832057416439,
-0.01619967631995678,
0.019768135622143745,
-0.0012850704370066524,
0.014103913679718971,
-0.049278732389211655,
-0.001531700138002634,
-0.037119537591934204,
0.04667318984866142,
-0.0024061144795268774,
0.0058624702505767345,
-0.04856126382946968,
0.016917143017053604,
-0.004436973948031664,
-0.06434556841850281,
-0.0014018949586898088,
0.00024485960602760315,
0.00450305687263608,
0.010091755539178848,
-0.00822256226092577,
-0.020995384082198143,
-0.021089786663651466,
-0.030813369899988174,
-0.01379238162189722,
0.020410081371665,
-0.017341960221529007,
-0.0008118718396872282,
-0.0265840832144022,
-0.012470729649066925,
0.032588157802820206,
-0.025073623284697533,
0.02745259739458561,
0.046031247824430466,
-0.028547680005431175,
-0.06823499500751495,
0.0015033789677545428,
-0.019182832911610603,
0.031021056696772575,
0.005843589082360268,
-0.01539724413305521,
0.0041466825641691685,
0.015387803316116333,
0.020957622677087784,
-0.0027565881609916687,
0.0005805827677249908,
0.018248235806822777,
-0.011366206221282482,
-0.06993426382541656,
0.029586121439933777,
-0.0278302114456892
] |
Enabling resilient autonomous motion planning requires robust predictions of
surrounding road users' future behavior. In response to this need and the
associated challenges, we introduce our model titled MTP-GO. The model encodes
the scene using temporal graph neural networks to produce the inputs to an
underlying motion model. The motion model is implemented using neural ordinary
differential equations where the state-transition functions are learned with
the rest of the model. Multimodal probabilistic predictions are obtained by
combining the concept of mixture density networks and Kalman filtering. The
results illustrate the predictive capabilities of the proposed model across
various data sets, outperforming several state-of-the-art methods on a number
of metrics. | [
-0.011661196127533913,
-0.021292753517627716,
-0.03216054290533066,
-0.011181462556123734,
-0.001936228945851326,
0.03454075753688812,
-0.06000349298119545,
0.04277001693844795,
-0.059007126837968826,
-0.019336920231580734,
0.03830481320619583,
-0.008266163989901543,
-0.0010004042414948344,
-0.02655136212706566,
-0.0014841731172055006,
-0.0027815273497253656,
0.017085865139961243,
-0.0012327746953815222,
0.01358012668788433,
-0.045500803738832474,
-0.0006486770580522716,
-0.014650299213826656,
-0.019041698426008224,
0.035038940608501434,
0.008220035582780838,
-0.007034542504698038,
0.028193524107336998,
-0.01163351908326149,
-0.06380445510149002,
0.06236525624990463,
0.041257016360759735,
0.05553828924894333,
0.027676887810230255,
0.015332995913922787,
-0.046386465430259705,
0.0063887485302984715,
0.049966007471084595,
0.01578505150973797,
-0.018174489960074425,
0.05468953028321266,
-0.016264785081148148,
0.00863057654350996,
0.0015614377334713936,
-0.06343542784452438,
-0.026034725829958916,
-0.008976537734270096,
-0.05096237733960152,
0.007915589958429337,
-0.009248693473637104,
-0.0013331035152077675,
-0.004160759039223194,
-0.03830481320619583,
0.011956416070461273,
0.032898593693971634,
-0.03208674117922783,
-0.006107366643846035,
0.05992968752980232,
0.03391341492533684,
0.06609240919351578,
0.013875346630811691,
0.0017505631549283862,
0.015471380203962326,
-0.03557402640581131,
-0.02869170717895031,
0.032714083790779114,
-0.02354380674660206,
0.06114747375249863,
-0.02132965624332428,
0.02839648723602295,
-0.056387048214673996,
-0.036312077194452286,
0.025075260549783707,
-0.03878454491496086,
-0.01468720193952322,
0.06207003444433212,
-0.011070755310356617,
-0.014355079270899296,
0.06380445510149002,
0.034559208899736404,
0.013109619729220867,
0.03644123673439026,
0.033876512199640274,
-0.019429175183176994,
-0.016809096559882164,
0.0337473526597023,
-0.02732631377875805,
0.07638821005821228,
-0.059007126837968826,
0.021385008469223976,
-0.0051755779422819614,
-0.015185385942459106,
0.03992852568626404,
-0.06564957648515701,
0.045500803738832474,
-0.00020339629554655403,
-0.00007661597192054614,
0.05295511335134506,
0.025185968726873398,
-0.04878512769937515,
0.0019558335188776255,
0.026108531281352043,
0.009668460115790367,
0.02199390158057213,
0.036219820380210876,
0.09151824563741684,
-0.04479965567588806,
-0.0065963249653577805,
0.04372948408126831,
0.02800901047885418,
0.12052362412214279,
0.018967894837260246,
0.006822353228926659,
0.032234348356723785,
0.009751490317285061,
-0.027400119230151176,
0.0028068977408111095,
-0.06254976987838745,
-0.012694465927779675,
0.0756501629948616,
-0.07077903300523758,
0.005590731278061867,
0.04051896557211876,
-0.00001600970972504001,
-0.022178413346409798,
-0.03149629756808281,
-0.019613688811659813,
0.03719773888587952,
0.009364013560116291,
0.007394342217594385,
-0.02839648723602295,
0.03605376183986664,
0.017021287232637405,
-0.03871074318885803,
0.007657272275537252,
-0.0020365577656775713,
-0.012094800360500813,
-0.01630168780684471,
-0.0014945520088076591,
-0.009723813273012638,
0.009036503732204437,
-0.03948569297790527,
-0.03830481320619583,
-0.04324975237250328,
-0.016310913488268852,
-0.011144560761749744,
0.039891622960567474,
0.024300308898091316,
0.07542874664068222,
-0.028470292687416077,
0.0416998453438282,
-0.06332471966743469,
0.011808806098997593,
0.05273369699716568,
-0.015157708898186684,
0.0128974299877882,
0.014318176545202732,
-0.05775244161486626,
0.03710548207163811,
-0.023709867149591446,
-0.05771553888916969,
-0.01148590911179781,
-0.007555790711194277,
0.0354817695915699,
0.078307144343853,
0.029263697564601898,
0.023672964423894882,
0.07347290962934494,
-0.016818322241306305,
-0.014816360548138618,
0.02540738321840763,
-0.06409967690706253,
0.026311494410037994,
0.009539300575852394,
-0.0030190872494131327,
0.014659524895250797,
0.008053974248468876,
0.02509371191263199,
0.028931574895977974,
-0.001023468328639865,
0.04653407633304596,
-0.032326605170965195,
-0.026329945772886276,
0.027473924681544304,
0.032732535153627396,
0.05612872913479805,
0.03590615093708038,
0.05992968752980232,
0.026200788095593452,
0.05015052109956741,
-0.023193232715129852,
0.05701439082622528,
0.04151533171534538,
0.041072502732276917,
-0.022473633289337158,
0.0019639059901237488,
-0.028064364567399025,
-0.0434342622756958,
0.004146920517086983,
-0.02522287145256996,
0.03216054290533066,
-0.04051896557211876,
-0.046681683510541916,
0.005198642145842314,
0.013312583789229393,
0.04505797475576401,
0.018469709903001785,
-0.00824309978634119,
0.026606716215610504,
0.011596616357564926,
-0.0477149561047554,
-0.011070755310356617,
-0.04605434089899063,
-0.06993027031421661,
-0.03511274605989456,
-0.006942286156117916,
0.003699477529153228,
-0.017030512914061546,
-0.0055353776551783085,
0.06018800660967827,
-0.012971235439181328,
0.023709867149591446,
0.04225338250398636,
0.013727736659348011,
0.00984374713152647,
-0.054431214928627014,
0.029706526547670364,
0.009825295768678188,
0.01178112905472517,
-0.03245576471090317,
-0.02887622080743313,
-0.0037802017759531736,
0.03841552138328552,
0.021569522097706795,
0.010268125683069229,
-0.014668750576674938,
0.08458057045936584,
0.006868481170386076,
-0.003021393669769168,
0.011273719370365143,
0.01930001750588417,
0.004063889849931002,
-0.049596983939409256,
-0.0029637333936989307,
-0.013700059615075588,
0.04291762784123421,
0.03335987776517868,
-0.016726065427064896,
0.05081476643681526,
0.02454017475247383,
0.0012062510941177607,
-0.039116669446229935,
-0.03158855438232422,
-0.011799580417573452,
-0.004894196521490812,
-0.022916464135050774,
0.05092547461390495,
0.027400119230151176,
0.015868082642555237,
-0.008501417934894562,
-0.04420921579003334,
0.06738399714231491,
0.04705071076750755,
-0.04273311421275139,
0.06583409011363983,
-0.025942470878362656,
0.023783672600984573,
0.0704469084739685,
0.06941363960504532,
0.013792316429316998,
0.019613688811659813,
-0.01649542525410652,
-0.07631440460681915,
-0.014290500432252884,
-0.011882610619068146,
0.01696593314409256,
-0.0247246865183115,
-0.016799870878458023,
0.00013845651119481772,
0.04808397963643074,
-0.015471380203962326,
0.0024886135943233967,
-0.003872457891702652,
0.019447626546025276,
-0.017897721379995346,
-0.03789888694882393,
-0.012869752943515778,
-0.02470623515546322,
-0.003162084612995386,
-0.06612931191921234,
0.028285780921578407,
-0.007325149606913328,
0.05295511335134506,
-0.02433720976114273,
0.01401373092085123,
0.0139676034450531,
0.03219744563102722,
-0.0434342622756958,
-0.011836482211947441,
0.006859255488961935,
0.011356749571859837,
-0.019336920231580734,
0.049781497567892075,
0.008155456744134426,
-0.026034725829958916,
0.037677470594644547,
-0.00906879361718893,
0.022418279200792313,
0.00017932317859958857,
-0.024171149358153343,
-0.062291450798511505,
-0.012288538739085197,
0.013386388309299946,
-0.054726433008909225,
-0.0007588080479763448,
-0.008215422742068768,
0.009705361910164356,
0.011412103660404682,
0.011624293401837349,
-0.028765512630343437,
-0.0019719782285392284,
-0.01236234325915575,
0.017307281494140625,
-0.022639695554971695,
-0.014733330346643925,
0.016338590532541275,
0.033009301871061325,
0.0058029210194945335,
0.055981118232011795,
-0.03053683415055275,
0.02239982783794403,
-0.04011303558945656,
-0.0167721938341856,
-0.09720123559236526,
-0.024171149358153343,
-0.0019073989242315292,
0.013211101293563843,
-0.05845358967781067,
0.03904286399483681,
-0.022233767434954643,
-0.04498416930437088,
-0.014189017936587334,
-0.025149066001176834,
0.03529725968837738,
-0.0027699952479451895,
-0.007846398279070854,
-0.037972692400217056,
-0.004121549893170595,
0.03035232052206993,
0.014511914923787117,
0.018100684508681297,
0.0009946381906047463,
-0.012998911552131176,
-0.027012642472982407,
0.013773865066468716,
0.06195932626724243,
0.008118554018437862,
-0.03597995638847351,
-0.03014935739338398,
-0.031201079487800598,
0.025352029129862785,
0.012048671953380108,
-0.026496008038520813,
-0.036699555814266205,
0.03337832912802696,
-0.06738399714231491,
0.03740070015192032,
-0.0537300668656826,
-0.021569522097706795,
0.007546565029770136,
0.010120515711605549,
-0.002749237697571516,
0.007016091141849756,
0.04398780316114426,
-0.014447336085140705,
-0.017427213490009308,
0.009548526257276535,
-0.0028092041611671448,
0.005950530990958214,
0.016218656674027443,
0.03642278537154198,
-0.00848296657204628,
0.01637549325823784,
-0.00852909404784441,
-0.025813311338424683,
-0.03555557504296303,
0.07033620029687881,
0.037659019231796265,
-0.02830423042178154,
0.010295802727341652,
0.036515042185783386,
0.019447626546025276,
-0.04062967374920845,
0.005290898494422436,
0.019152406603097916,
0.042696211487054825,
0.0348728783428669,
0.058527395129203796,
-0.012519178912043571,
-0.022953366860747337,
-0.002286802977323532,
0.01482558622956276,
-0.018561966717243195,
0.0013377162395045161,
0.049781497567892075,
-0.010083612985908985,
0.00417229114100337,
-0.0018578111194074154,
-0.04778876155614853,
0.019133955240249634,
-0.017667081207036972,
0.0013319503050297499,
-0.033581290394067764,
-0.010341930203139782,
-0.044947266578674316,
0.037289995700120926,
-0.0005915935034863651,
-0.03430088981986046,
0.018857186660170555,
-0.004216112662106752,
-0.03406102582812309,
-0.03538951650261879,
0.06085225194692612,
0.028913123533129692,
0.0008418387151323259,
0.013921475037932396,
0.08458057045936584,
-0.030942760407924652,
-0.03240041062235832,
-0.06059393286705017,
-0.03985472023487091,
0.0796356350183487,
-0.027787595987319946,
0.04657097905874252,
-0.05915473774075508,
0.03131178766489029,
0.028451841324567795,
0.008741283789277077,
-0.0070391553454101086,
-0.0399654284119606,
0.008792025037109852,
-0.05177423357963562,
-0.024318760260939598,
-0.004548235330730677,
-0.041847456246614456,
-0.011550487950444221,
-0.01464107446372509,
-0.0063795228488743305,
-0.030278515070676804,
-0.011735000647604465,
-0.045316293835639954,
-0.034577660262584686,
0.04970769211649895,
0.03586924821138382,
-0.04265931248664856,
0.002007727511227131,
-0.02531512640416622,
-0.00848757941275835,
-0.0021956998389214277,
0.03769592195749283,
-0.008113941177725792,
0.045722220093011856,
0.05003981292247772,
0.044356826692819595,
-0.014373530633747578,
0.024964554235339165,
-0.03276943415403366,
-0.016320139169692993,
0.008303066715598106,
-0.001652540871873498,
-0.00023078489175532013,
0.04092489182949066,
-0.02538893185555935,
0.02306407317519188,
0.029208343476057053,
0.03306465595960617,
0.03489132970571518,
-0.05144210904836655,
-0.02490920014679432,
-0.025997823104262352,
0.023636063560843468,
0.01017586886882782,
0.011319847777485847,
0.0657602846622467,
-0.009668460115790367,
-0.005678374785929918,
-0.023100975900888443,
0.04122011363506317,
0.004633572418242693,
-0.02918989211320877,
-0.030499931424856186,
-0.014917843043804169,
-0.07801192253828049,
-0.005784469656646252,
-0.01231621578335762,
-0.010221997275948524,
-0.016264785081148148,
0.02374676987528801,
-0.013054265640676022,
0.02664361707866192,
0.0016848306404426694,
0.0016329364152625203,
-0.06631382554769516,
0.005489249713718891,
0.026200788095593452,
0.0012327746953815222,
0.018774155527353287,
0.02208615653216839,
-0.00554921617731452,
-0.031237982213497162,
-0.0019961956422775984,
0.007915589958429337,
0.04361877590417862,
0.011301396414637566,
-0.033581290394067764,
0.02616388536989689,
0.014262823387980461,
0.03376580402255058,
-0.018054556101560593,
0.04214267432689667,
0.0060796900652348995,
0.023340841755270958,
0.03948569297790527,
-0.0227873045951128,
0.02287956140935421,
-0.07214441895484924,
0.047161418944597244,
-0.0023041008971631527,
-0.040002331137657166,
0.06136888638138771,
-0.03260337561368942,
-0.03633052855730057,
0.03365509584546089,
-0.04767805337905884,
-0.02782449871301651,
-0.01794384978711605,
-0.06712567806243896,
0.00698380172252655,
0.014521140605211258,
-0.006559422705322504,
-0.020314836874604225,
-0.008003233931958675,
-0.013838443905115128,
-0.02636684849858284,
0.020130323246121407,
-0.006683968473225832,
0.015757374465465546,
0.0167721938341856,
-0.05535377562046051,
-0.03889525309205055,
-0.021458813920617104,
0.009668460115790367,
0.003162084612995386,
-0.004036212805658579,
0.04321284964680672,
-0.04177365079522133,
-0.015960339456796646,
-0.020517800003290176,
-0.009806844405829906,
0.016698390245437622,
-0.01763940416276455,
0.045131780207157135,
-0.033691998571157455,
-0.029300598427653313,
-0.019927360117435455,
-0.002656981348991394,
0.034466952085494995,
-0.027123350650072098,
0.02121894806623459,
0.03978091478347778,
0.020628508180379868,
-0.007505049463361502,
0.00025168669526465237,
-0.015960339456796646,
0.004333739634603262,
0.0756501629948616,
-0.007934041321277618,
0.01746411621570587,
-0.023488452658057213,
-0.02823042683303356,
-0.05742031708359718,
-0.0005434472113847733,
0.025333577767014503,
0.04675548896193504,
0.0408879891037941,
0.0016087191179394722,
-0.02267659641802311,
-0.03443004935979843,
-0.03216054290533066,
0.011338298209011555,
-0.018884863704442978,
0.02859945222735405,
0.055612094700336456,
0.021108239889144897,
-0.009631557390093803,
-0.017233476042747498,
-0.04679239168763161,
0.01343251671642065,
-0.005959756672382355,
0.013875346630811691,
-0.04188435897231102,
-0.025167517364025116,
0.04409850761294365,
-0.004271466284990311,
0.01618175394833088,
-0.05051954835653305,
-0.009423980489373207,
0.05380387231707573,
0.013884572312235832,
-0.04922796040773392,
-0.01178112905472517,
-0.024208052083849907,
0.02561034820973873,
-0.005498475395143032,
0.03734534978866577,
0.05122069641947746,
-0.012491501867771149,
0.016255559399724007,
0.03490978106856346,
-0.014558043330907822,
-0.02636684849858284,
0.01764862984418869,
-0.012869752943515778,
0.031643908470869064,
0.021938547492027283,
-0.027787595987319946,
0.023894380778074265,
0.010406509973108768,
-0.003369661280885339,
-0.024650882929563522,
0.020923728123307228,
0.0071314116939902306,
0.025628799572587013,
-0.0024401789996773005,
-0.019521431997418404,
0.013211101293563843,
0.008907345123589039,
-0.008266163989901543,
0.03992852568626404,
-0.0016640729736536741,
0.06978265941143036,
-0.015259191393852234,
-0.04498416930437088,
-0.040002331137657166,
0.013930700719356537,
0.007767979986965656,
0.014355079270899296,
-0.01332180853933096,
-0.05232777073979378,
0.003736380022019148,
0.0010401897598057985,
-0.014899391680955887,
-0.008741283789277077,
-0.002940669422969222,
0.024189600721001625,
-0.009972905740141869,
0.0003964137576986104,
-0.002654674928635359,
-0.038526229560375214,
-0.018285198137164116,
-0.010830889455974102,
-0.006739322561770678,
0.001411521341651678,
0.01841435581445694,
-0.020222580060362816,
0.03673645481467247,
0.03035232052206993,
0.04631265997886658,
-0.0014345854287967086,
-0.05254918709397316,
0.042806919664144516,
0.008667479269206524,
-0.001288128551095724,
-0.03356283903121948,
0.02347000129520893,
0.04199506714940071,
0.021551070734858513,
0.017676306888461113,
0.0307397972792387,
0.0057198903523385525,
-0.01498242188245058,
0.038452424108982086,
-0.0030721346847712994,
-0.05206945165991783,
0.015249965712428093,
-0.01085856556892395,
-0.012297764420509338,
-0.024798491969704628,
-0.013653931207954884,
-0.01013896707445383,
-0.002608546754345298,
-0.037179287523031235,
-0.03238195925951004,
-0.01698438450694084,
0.06491152942180634,
0.015729697421193123,
0.02308252453804016,
-0.033304523676633835,
0.0021218948531895876,
0.032418861985206604,
-0.03837861865758896,
-0.024466369301080704,
-0.0041446140967309475,
-0.029983295127749443,
0.00146110903006047,
-0.004243789706379175,
0.04682929441332817,
0.001910858554765582,
-0.008275389671325684,
-0.04339735954999924,
-0.019447626546025276,
0.004156146198511124,
0.019170857965946198,
-0.01795307546854019,
0.0077403029426932335,
0.02704954519867897,
0.02664361707866192,
-0.0006256129709072411,
0.0071729267947375774,
-0.011421329341828823,
0.042806919664144516,
-0.004848068114370108,
-0.01303581427782774,
0.028175072744488716,
-0.04003923013806343,
-0.05203254893422127,
0.03371044993400574,
-0.018986346200108528,
-0.034356243908405304,
0.019336920231580734,
0.0059044030494987965,
0.05487404391169548,
-0.07587157934904099,
0.008838153444230556,
0.007611144334077835,
0.01221473328769207,
0.019429175183176994,
-0.023875929415225983,
0.015840405598282814,
0.005858274642378092,
-0.016449296846985817,
0.0558704137802124,
-0.017879270017147064,
0.028267329558730125,
-0.00021146872313693166,
-0.01327568106353283,
0.013819992542266846,
0.016338590532541275,
0.026440653949975967,
-0.017713207751512527,
-0.0002253071725135669,
0.04981840029358864,
-0.015729697421193123,
0.04413541033864021,
-0.05033503472805023,
-0.018552741035819054,
0.03574008867144585,
0.01783314161002636,
-0.009400916285812855,
0.005576893221586943,
-0.052696794271469116,
0.017989978194236755,
0.00705760670825839,
-0.003305081743746996,
0.005909015890210867,
0.007020703982561827,
0.0058352104388177395,
-0.05339794233441353,
-0.02239982783794403,
0.005355477798730135,
0.028359584510326385,
0.008732058107852936,
0.029319049790501595,
-0.012297764420509338,
0.008879668079316616,
0.014281274750828743,
0.015600539743900299,
-0.00848296657204628,
-0.032714083790779114,
-0.02597937174141407,
0.00862596370279789,
-0.03764056786894798,
-0.020388640463352203,
-0.018368227407336235,
0.0628080889582634,
-0.026145434007048607,
0.030370771884918213,
0.011910287663340569,
-0.006928447633981705,
0.00043245137203484774,
-0.020001165568828583,
0.00808626413345337,
-0.046201951801776886,
-0.007832559756934643,
-0.004732748027890921,
0.02723405882716179,
0.023193232715129852,
-0.00959465466439724,
0.031201079487800598,
-0.024208052083849907,
-0.011476683430373669,
-0.017021287232637405,
0.04479965567588806,
0.0018877944676205516,
0.027104899287223816,
0.00011575281678233296,
-0.031846873462200165,
-0.06638763099908829,
-0.014069085009396076,
0.04247479885816574,
0.0007478526094928384,
-0.005286285653710365,
-0.02763998508453369,
-0.0038632324431091547,
-0.012998911552131176,
0.045500803738832474,
-0.021458813920617104,
-0.00027388587477616966,
0.001864730380475521,
-0.030094003304839134,
-0.04133082181215286,
-0.0008856604108586907,
-0.05849049240350723,
-0.04147842898964882,
-0.014954745769500732,
-0.003634897992014885,
-0.01177190337330103,
0.021938547492027283,
-0.0016202512197196484,
0.03867384046316147,
-0.0026062403339892626,
0.03819410502910614,
0.07646201550960541,
-0.05668226629495621,
-0.018857186660170555,
-0.0567929744720459,
-0.013792316429316998,
-0.0017644016770645976,
0.0008210810483433306,
-0.0026431428268551826,
0.0005904402933083475,
-0.03450385481119156,
0.006886932533234358,
-0.010766309686005116,
-0.025352029129862785,
0.003323533106595278,
-0.015406801365315914,
0.02509371191263199,
-0.0063887485302984715,
0.0166707132011652,
-0.003517271252349019,
-0.013801542110741138,
0.03808339685201645,
0.047936372458934784,
0.002352535491809249,
0.015443704091012478,
0.0058029210194945335,
0.03472527116537094,
0.034559208899736404,
0.02258434146642685,
-0.025185968726873398,
0.006038174498826265,
-0.012731368653476238,
-0.003835555398836732,
-0.018681900575757027,
0.012057897634804249,
0.0335443876683712,
0.007851011119782925,
-0.04527939110994339,
-0.0391535721719265,
-0.06421037763357162,
0.011301396414637566,
0.0011341758072376251,
-0.04033445194363594,
0.05354555323719978,
0.01536067295819521,
0.04420921579003334,
-0.004216112662106752,
-0.0012708305148407817,
0.026883484795689583,
-0.061516497284173965,
0.014991647563874722,
-0.015600539743900299,
0.029798783361911774,
-0.019226212054491043,
0.06203313171863556,
-0.016421619802713394,
-0.010388058610260487,
-0.00824771262705326,
-0.030795151367783546,
-0.040076132863759995,
-0.015545185655355453,
0.02887622080743313,
-0.037861984223127365,
-0.04992910847067833,
0.0416998453438282,
0.03749295696616173,
-0.025536542758345604,
0.017141219228506088,
-0.007929428480565548,
-0.005060257855802774,
-0.006462553516030312,
-0.024558626115322113,
-0.047936372458934784,
-0.001717120292596519,
0.049006544053554535,
-0.010323479771614075,
0.015628216788172722,
0.0169751588255167,
0.010471089743077755,
0.005641472525894642,
-0.02326703816652298,
0.011596616357564926,
0.043286655098199844,
-0.03352593630552292,
0.044725850224494934,
-0.005346252117305994,
0.005207867827266455,
-0.031256433576345444,
0.012952784076333046,
0.014438110403716564,
0.00622730003669858,
0.007085283286869526,
0.015591314062476158,
0.03430088981986046,
-0.02123739942908287,
-0.015259191393852234,
0.025573445484042168,
-0.015010098926723003,
0.05406218767166138,
0.014714878983795643,
-0.02415269799530506,
0.01734418421983719,
-0.02123739942908287,
0.021015983074903488,
0.047161418944597244,
-0.007260570302605629,
0.004843455273658037,
-0.0001555383496452123,
-0.02064695954322815,
0.02123739942908287,
-0.01003748457878828,
-0.02588711678981781,
-0.024263406172394753,
0.06797444075345993,
-0.007606531493365765,
0.01551750861108303,
0.025721054524183273,
0.03208674117922783,
0.010996950790286064,
0.015249965712428093,
0.009963680058717728,
-0.030868956819176674,
-0.0005990893114358187,
-0.06203313171863556,
-0.0279352068901062,
0.06173791363835335,
-0.02335929311811924,
-0.018183715641498566,
0.009751490317285061,
0.06125817820429802,
0.049191057682037354,
0.04616504907608032,
-0.035241905599832535,
-0.016024919226765633,
-0.0010102064115926623,
0.02871015854179859,
-0.04646027088165283,
-0.01617252826690674,
-0.044652048498392105,
-0.01627401076257229,
-0.012546855956315994,
-0.060926057398319244,
0.031237982213497162,
0.02238137647509575,
0.007362052332609892,
0.0666828528046608,
-0.009908325970172882,
-0.029724977910518646,
-0.0036787197459489107,
-0.014142890460789204,
0.08118554204702377,
-0.055132362991571426,
0.03347058221697807,
-0.002516290405765176,
-0.011365975253283978,
-0.045611511915922165,
-0.02965117245912552,
-0.014742556028068066,
0.014050633646547794,
0.04317594692111015,
-0.011375200934708118,
0.013543223962187767,
-0.010904693976044655,
-0.014862488955259323,
-0.0208499226719141,
0.016790645197033882,
-0.023709867149591446,
0.014853263273835182,
0.05708819627761841,
0.0019443014170974493,
-0.0032727920915931463,
-0.021661778911948204,
-0.03400567173957825,
0.041146308183670044,
0.04741973429918289,
-0.01688290201127529,
0.053471747785806656,
-0.0035564801655709743,
-0.025056809186935425,
-0.010360381565988064,
-0.05498475208878517,
-0.03228970244526863,
-0.05601802095770836,
-0.031090371310710907,
-0.04225338250398636,
0.008676704950630665,
-0.005798308178782463,
0.030610637739300728,
0.005337026435881853,
-0.01889408938586712,
0.03841552138328552,
-0.025149066001176834,
0.029319049790501595,
-0.024005087092518806
] |
Molecular dynamic simulations are important in computational physics,
chemistry, material, and biology. Machine learning-based methods have shown
strong abilities in predicting molecular energy and properties and are much
faster than DFT calculations. Molecular energy is at least related to atoms,
bonds, bond angles, torsion angles, and nonbonding atom pairs. Previous
Transformer models only use atoms as inputs which lack explicit modeling of the
aforementioned factors. To alleviate this limitation, we propose Moleformer, a
novel Transformer architecture that takes nodes (atoms) and edges (bonds and
nonbonding atom pairs) as inputs and models the interactions among them using
rotational and translational invariant geometry-aware spatial encoding.
Proposed spatial encoding calculates relative position information including
distances and angles among nodes and edges. We benchmark Moleformer on OC20 and
QM9 datasets, and our model achieves state-of-the-art on the initial state to
relaxed energy prediction of OC20 and is very competitive in QM9 on predicting
quantum chemical properties compared to other Transformer and Graph Neural
Network (GNN) methods which proves the effectiveness of the proposed
geometry-aware spatial encoding in Moleformer. | [
-0.05524899438023567,
0.015073725022375584,
-0.029160207137465477,
-0.004216346424072981,
0.012157703749835491,
0.009241683408617973,
-0.01012837328016758,
0.014845196157693863,
-0.05023965612053871,
0.055724333971738815,
0.0033342274837195873,
-0.023181907832622528,
-0.01498231291770935,
-0.017678946256637573,
-0.019891100004315376,
0.010274630971252918,
0.0003150833654217422,
-0.020201899111270905,
-0.08724295347929001,
-0.04501092806458473,
-0.007116370368748903,
-0.03080561012029648,
0.0007170074386522174,
0.003958109766244888,
0.05565120279788971,
-0.005873176734894514,
0.04914271831512451,
-0.00700210640206933,
-0.003343368647620082,
0.10069869458675385,
0.005955446511507034,
0.0032382456120103598,
0.012313103303313255,
-0.014644091948866844,
-0.027076030150055885,
-0.008949167095124722,
0.023821786046028137,
0.005576089955866337,
-0.009589046239852905,
0.03601605445146561,
0.03722268342971802,
-0.014735503122210503,
-0.021609632298350334,
-0.015238264575600624,
0.022615157067775726,
0.003629029029980302,
-0.03788084536790848,
-0.02234092354774475,
0.051811929792165756,
-0.013940224424004555,
0.000721006712410599,
-0.03380390256643295,
-0.006878701038658619,
0.013885377906262875,
-0.06259846687316895,
0.05488334968686104,
0.05294542759656906,
0.0654139295220375,
0.06365883350372314,
0.026856642216444016,
0.015219982713460922,
-0.06691307574510574,
-0.0076739792712032795,
-0.04347521811723709,
-0.0036633082199841738,
0.01290727686136961,
0.015457652509212494,
-0.026600690558552742,
0.04892333224415779,
0.019909383729100227,
-0.04661976546049118,
0.056053414940834045,
-0.0022064405493438244,
-0.04877707362174988,
0.00012526205682661384,
-0.005608083680272102,
-0.00018467940390110016,
0.029800087213516235,
-0.010658558458089828,
-0.017413854598999023,
0.02310877852141857,
0.06610865890979767,
-0.022944238036870956,
0.014269305393099785,
0.09514088928699493,
0.00010040960478363559,
-0.016536304727196693,
-0.036436546593904495,
0.0024269702844321728,
0.026948053389787674,
-0.05587059259414673,
0.031189538538455963,
-0.04365804046392441,
0.001644260948523879,
0.0019493461586534977,
0.04226858913898468,
0.0631469339132309,
0.014278446324169636,
-0.04208576679229736,
0.030092602595686913,
0.027405109256505966,
-0.007166646420955658,
-0.005397837609052658,
0.03930686414241791,
0.017176184803247452,
-0.06296411156654358,
-0.04457215219736099,
0.038612134754657745,
0.03343825787305832,
0.0925082415342331,
0.02058582566678524,
-0.023017367348074913,
0.020421287044882774,
0.026874924078583717,
0.021170858293771744,
-0.013958506286144257,
-0.07971066236495972,
-0.024900440126657486,
-0.04431620240211487,
-0.0676078051328659,
0.02908707782626152,
0.0017859484069049358,
-0.02711259387433529,
-0.06047772243618965,
-0.046766024082899094,
0.047095105051994324,
-0.030147450044751167,
-0.03341997414827347,
-0.0033685066737234592,
0.036326855421066284,
-0.05045904219150543,
0.023255037143826485,
0.028044989332556725,
-0.043950557708740234,
0.04289018735289574,
-0.0011197885032743216,
0.005777194630354643,
0.025229521095752716,
-0.01383053045719862,
-0.008839473128318787,
-0.013327769003808498,
-0.0108962282538414,
-0.01819084957242012,
-0.013053534552454948,
-0.029105359688401222,
0.006014863960444927,
-0.015137712471187115,
0.12446563690900803,
0.02550375461578369,
0.0028863120824098587,
-0.08373276144266129,
0.02330988273024559,
0.00604685815051198,
-0.016481459140777588,
0.012651325203478336,
0.007875083945691586,
-0.024644488468766212,
0.03451690822839737,
-0.043621476739645004,
-0.05612654238939285,
0.012294820509850979,
-0.025796271860599518,
0.03941655531525612,
-0.021646197885274887,
-0.005818329751491547,
-0.0007798527367413044,
0.05715034902095795,
0.023218471556901932,
-0.05199475213885307,
0.05078812316060066,
0.04109852388501167,
0.062452204525470734,
-0.0053658438846468925,
-0.015932990238070488,
-0.04786296188831329,
0.0160792488604784,
-0.01106076780706644,
-0.00413636164739728,
0.022633438929915428,
-0.007322045974433422,
-0.030092602595686913,
0.007952784188091755,
0.033054329454898834,
0.03407813608646393,
0.03477286174893379,
0.07049640268087387,
0.008149318397045135,
0.026198480278253555,
0.028154682368040085,
0.07832121104001999,
0.07780930399894714,
0.0032199632842093706,
0.043621476739645004,
-0.005247008986771107,
0.024425100535154343,
-0.03747863695025444,
-0.03376733884215355,
0.03539445996284485,
-0.008318428881466389,
-0.021371964365243912,
-0.046473510563373566,
-0.024096021428704262,
-0.015055442228913307,
0.00042220597970299423,
0.06497515738010406,
-0.024096021428704262,
-0.0032930923625826836,
-0.01296212337911129,
0.031226102262735367,
-0.03298119828104973,
0.013528873212635517,
-0.04299987852573395,
-0.01775207556784153,
-0.038173362612724304,
0.013254639692604542,
0.006855848245322704,
-0.03978220000863075,
0.003549044020473957,
-0.03279837593436241,
-0.009890703484416008,
-0.027368545532226562,
0.02462620660662651,
0.10106433928012848,
-0.04018441215157509,
0.062123123556375504,
0.02102460153400898,
-0.031628310680389404,
-0.03504709526896477,
-0.002083035185933113,
0.019689995795488358,
0.027624497190117836,
0.04182981327176094,
-0.00018924997129943222,
0.020677238702774048,
-0.024315407499670982,
0.011453837156295776,
0.024096021428704262,
-0.05652875453233719,
-0.013793966732919216,
0.039709072560071945,
0.029909780248999596,
0.0030074319802224636,
-0.0013597431825473905,
-0.060953058302402496,
0.07005762308835983,
0.02733198180794716,
-0.07100830227136612,
0.045705653727054596,
0.04055005684494972,
0.036985013633966446,
0.0332188680768013,
-0.038721829652786255,
0.019013551995158195,
0.005077898036688566,
0.0013071816647425294,
-0.008295576088130474,
0.021170858293771744,
-0.04113508760929108,
-0.03005603887140751,
-0.04727792739868164,
0.002079607220366597,
0.007961925119161606,
0.026308175176382065,
0.052433524280786514,
-0.015028019435703754,
0.02766106091439724,
0.06014864146709442,
0.007646556012332439,
0.010475736111402512,
0.03420611098408699,
-0.04109852388501167,
-0.03387703001499176,
-0.03309089317917824,
0.032085370272397995,
-0.022286076098680496,
-0.07663924247026443,
0.01612495444715023,
0.01950717344880104,
0.07162990421056747,
-0.0500933974981308,
0.009287388995289803,
-0.02320018969476223,
-0.0017916616052389145,
0.008268152363598347,
0.038941215723752975,
-0.012879853136837482,
0.034370653331279755,
-0.0008512678323313594,
-0.06680338084697723,
-0.08307459950447083,
-0.0022749989293515682,
0.030878739431500435,
-0.025997376069426537,
0.010649417527019978,
0.01530225295573473,
-0.009717022068798542,
-0.03561384603381157,
-0.030897021293640137,
0.02102460153400898,
-0.019891100004315376,
-0.09141130745410919,
-0.00846011657267809,
0.02157306857407093,
0.03124438412487507,
-0.0030668494291603565,
0.005013910122215748,
0.05598028376698494,
0.0925813689827919,
0.014040776528418064,
-0.023712093010544777,
0.059088271111249924,
-0.024242278188467026,
-0.010420888662338257,
-0.02299908548593521,
0.005868605803698301,
-0.026820078492164612,
0.017761217430233955,
-0.0838790163397789,
-0.011088191531598568,
-0.0250466987490654,
-0.047753266990184784,
0.0026029369328171015,
-0.07912562787532806,
-0.013419180177152157,
0.005585230886936188,
0.03875839337706566,
0.02276141569018364,
0.0348825566470623,
-0.022834545001387596,
0.008766344748437405,
-0.009036007337272167,
-0.02036643959581852,
-0.05466396361589432,
0.0018922140588983893,
-0.007317475043237209,
-0.048521123826503754,
-0.03714955598115921,
0.015384523198008537,
-0.05510273575782776,
-0.005164738744497299,
-0.02352927066385746,
-0.035796668380498886,
-0.03517507016658783,
-0.005283573642373085,
-0.028026707470417023,
-0.08146575838327408,
-0.008089900948107243,
-0.010823098942637444,
0.011673224158585072,
0.00836870539933443,
0.0009729590965434909,
-0.008007630705833435,
-0.021938713267445564,
-0.006791860330849886,
-0.0016111242584884167,
-0.0632200613617897,
-0.005219585727900267,
-0.022158101201057434,
0.022286076098680496,
0.01588728465139866,
-0.04007471725344658,
-0.04859425127506256,
0.02245061658322811,
-0.02583283558487892,
-0.09674973040819168,
-0.0018362246919423342,
-0.04051349312067032,
-0.022578593343496323,
0.034681450575590134,
-0.006773578003048897,
0.018903858959674835,
0.039599377661943436,
-0.00828186422586441,
0.04760700836777687,
0.01300782896578312,
-0.00000528917962583364,
0.014296728186309338,
0.0020419000647962093,
-0.02983665093779564,
0.04844799265265465,
-0.0332188680768013,
0.02864830382168293,
-0.010164937004446983,
-0.0036633082199841738,
0.00724434619769454,
0.012066292576491833,
0.012075433507561684,
-0.052433524280786514,
-0.05042247846722603,
0.058210719376802444,
-0.0010912225116044283,
-0.061501529067754745,
-0.029434440657496452,
-0.03159174695611,
0.00871149729937315,
-0.033054329454898834,
-0.007308334112167358,
0.04179324954748154,
-0.008551527746021748,
0.029873214662075043,
-0.0033799330703914165,
0.012843288481235504,
-0.01643575355410576,
0.007139223162084818,
0.019123245030641556,
-0.01704820804297924,
-0.007440880406647921,
-0.07071578502655029,
0.04106196016073227,
-0.0035993203055113554,
0.00974444579333067,
-0.031628310680389404,
0.00449286587536335,
-0.0718492865562439,
0.04691228270530701,
-0.004387742839753628,
-0.012952982448041439,
0.014516116119921207,
0.00360846146941185,
0.06449981778860092,
0.07671236991882324,
0.02713087573647499,
0.00013104667596053332,
0.03552243486046791,
-0.004817375913262367,
0.04724136367440224,
0.024443384259939194,
-0.032834943383932114,
-0.0009169696713797748,
-0.024041173979640007,
0.050605300813913345,
0.000721006712410599,
0.022030124440789223,
-0.03288978710770607,
-0.04087913781404495,
0.0007050097337923944,
0.02462620660662651,
-0.010813958011567593,
-0.02056754380464554,
0.03400500491261482,
0.015320534817874432,
-0.021865583956241608,
-0.028904255479574203,
-0.0031674017664045095,
0.021920431405305862,
0.00198248284868896,
-0.028300940990447998,
-0.011426413431763649,
0.0027469098567962646,
-0.02722228690981865,
0.007230634335428476,
-0.004959063604474068,
-0.059746429324150085,
-0.0029137353412806988,
0.08731608092784882,
0.013702554628252983,
0.023364730179309845,
-0.002950299996882677,
0.02645443193614483,
-0.03724096715450287,
0.023785222321748734,
0.005356702487915754,
0.06479233503341675,
-0.0283192228525877,
0.01599697954952717,
0.02605222351849079,
-0.004826516844332218,
-0.003974106628447771,
-0.016746550798416138,
0.019562019035220146,
0.0381367988884449,
-0.037515200674533844,
0.01530225295573473,
0.015430228784680367,
0.048740509897470474,
-0.009305670857429504,
-0.018903858959674835,
-0.08073446899652481,
0.025448907166719437,
0.03232304006814957,
0.03124438412487507,
-0.01610667258501053,
0.017934897914528847,
-0.02908707782626152,
-0.03497396782040596,
0.02625332772731781,
0.01755097135901451,
-0.00643078563734889,
0.017340725287795067,
0.05023965612053871,
0.005841182544827461,
-0.011088191531598568,
0.007440880406647921,
0.02080521360039711,
0.04607129842042923,
-0.02853861078619957,
0.02102460153400898,
-0.0067278724163770676,
0.07378720492124557,
0.060733672231435776,
0.0026966335717588663,
-0.046766024082899094,
0.03978220000863075,
0.035888079553842545,
-0.005082468502223492,
0.04987400770187378,
0.00011212168465135619,
0.0009878134587779641,
0.01138984877616167,
-0.034681450575590134,
0.021061165258288383,
-0.03625372424721718,
0.006407932844012976,
0.01181948184967041,
-0.040330670773983,
-0.001897927257232368,
-0.016262071207165718,
0.018373673781752586,
-0.03607090190052986,
0.01803545095026493,
-0.00023309883545152843,
-0.020311592146754265,
0.017039068043231964,
0.03256070613861084,
-0.0061382693238556385,
0.012048010714352131,
0.021920431405305862,
-0.014305870048701763,
0.03314574062824249,
-0.0012134851422160864,
-0.03181113675236702,
0.007573426701128483,
-0.02550375461578369,
-0.017541829496622086,
0.0006273100734688342,
-0.011298437602818012,
-0.02362068183720112,
0.00936051830649376,
-0.02605222351849079,
0.01867533102631569,
-0.00468025915324688,
-0.008720639161765575,
-0.04651007428765297,
-0.013428321108222008,
-0.00074157421477139,
-0.010119231417775154,
0.06797344982624054,
-0.02844719961285591,
0.011517824605107307,
0.00468025915324688,
-0.046473510563373566,
0.0006713017937727273,
0.004476869013160467,
-0.008725209161639214,
-0.008099041879177094,
-0.024022892117500305,
-0.028300940990447998,
-0.0014351574936881661,
0.009643892757594585,
-0.032962918281555176,
0.04391399398446083,
0.030019473284482956,
-0.01051230076700449,
-0.0027103452011942863,
0.004182067234069109,
-0.00986327975988388,
0.00890803150832653,
0.03576010465621948,
0.044169943779706955,
0.016728268936276436,
-0.0035444735549390316,
-0.025905964896082878,
-0.010612852871418,
0.06365883350372314,
0.006970112212002277,
0.02592424675822258,
0.044389329850673676,
0.009049719199538231,
0.008048765361309052,
-0.005630936473608017,
-0.012175986543297768,
-0.04051349312067032,
0.01790747605264187,
-0.041646990925073624,
-0.015549063682556152,
0.006380509119480848,
-0.07137394696474075,
-0.06768093258142471,
-0.0007524293032474816,
0.008638368919491768,
-0.018867293372750282,
0.05488334968686104,
0.004840228706598282,
-0.004794523119926453,
0.00851496309041977,
0.002205297816544771,
-0.00904057826846838,
-0.008537815883755684,
0.07356782257556915,
-0.0533842034637928,
-0.016051825135946274,
0.02482731081545353,
0.010576288215816021,
0.015055442228913307,
-0.025229521095752716,
0.03453519195318222,
0.032286472618579865,
0.07971066236495972,
-0.02897738479077816,
-0.00941536482423544,
0.07170303165912628,
-0.005429831799119711,
0.003882695222273469,
-0.010384324938058853,
0.009036007337272167,
0.032725248485803604,
-0.039270296692848206,
0.01421445794403553,
-0.004113508854061365,
-0.06939946115016937,
0.028812844306230545,
0.006677595898509026,
0.03217678144574165,
0.010859663598239422,
0.02561344765126705,
0.008208735845983028,
0.0002035329962382093,
-0.01777035742998123,
-0.013172369450330734,
-0.0125233493745327,
0.006609037518501282,
0.009899844415485859,
-0.08183140307664871,
-0.02298080362379551,
0.03199395909905434,
-0.03380390256643295,
-0.007381462957710028,
0.01711219735443592,
0.026509279385209084,
0.014653232879936695,
-0.01928778551518917,
0.003245101310312748,
0.006545049604028463,
-0.025650013238191605,
0.005653789266943932,
0.01144469529390335,
-0.02276141569018364,
0.01819084957242012,
0.023876633495092392,
0.022615157067775726,
0.00454771239310503,
0.0015448511112481356,
0.006078851874917746,
0.04080600664019585,
-0.01362028531730175,
-0.01803545095026493,
-0.011856046505272388,
-0.012742736376821995,
-0.0032656688708812,
0.01181948184967041,
-0.010640276595950127,
0.03104327991604805,
-0.00000828414977149805,
-0.005411549471318722,
0.020622391253709793,
-0.04289018735289574,
-0.002110458677634597,
0.05203131586313248,
-0.020823495462536812,
0.04062318429350853,
-0.01992766559123993,
-0.020512698218226433,
-0.029544135555624962,
0.028374070301651955,
0.015677038580179214,
-0.02418743260204792,
0.048959895968437195,
0.011910893023014069,
-0.01366599090397358,
-0.019232939928770065,
-0.02583283558487892,
-0.0027971859090030193,
-0.026655538007616997,
0.006165692582726479,
0.005882317665964365,
-0.0065359086729586124,
-0.022962519899010658,
-0.021499939262866974,
-0.011453837156295776,
-0.008629227057099342,
0.0212439876049757,
-0.0730193555355072,
-0.029141925275325775,
0.03177456930279732,
-0.02166447974741459,
0.01948889158666134,
-0.030750764533877373,
-0.00569035392254591,
0.03791740909218788,
0.0038255632389336824,
-0.02352927066385746,
0.003562755649909377,
-0.01682882197201252,
-0.012230833061039448,
-0.00821787677705288,
-0.008067048154771328,
0.025229521095752716,
-0.01340089738368988,
0.017852628603577614,
-0.008519534021615982,
0.016582010313868523,
0.025119828060269356,
0.021646197885274887,
0.02267000451683998,
0.024260561913251877,
-0.036875322461128235,
-0.00566293066367507,
0.04811891168355942,
-0.03912403807044029,
0.05067842826247215,
0.005329279229044914,
-0.0019104963866993785,
-0.0020430427975952625,
-0.03747863695025444,
0.017459560185670853,
0.00990898534655571,
0.060514286160469055,
0.018391955643892288,
0.007358610164374113,
-0.006938118487596512,
0.02680179476737976,
-0.02744167484343052,
-0.03433408588171005,
0.03777115419507027,
-0.0026554984506219625,
-0.006956400349736214,
-0.00861094519495964,
0.04325583204627037,
-0.01618894189596176,
0.04084257408976555,
0.020329874008893967,
0.02526608482003212,
-0.01530225295573473,
-0.010366042144596577,
-0.011152179911732674,
0.03444378077983856,
-0.06274472177028656,
-0.0028543181251734495,
0.018428519368171692,
0.022724851965904236,
0.023127060383558273,
-0.016883669421076775,
0.012130280956625938,
-0.02603393979370594,
-0.027734190225601196,
0.014324151910841465,
0.04958149418234825,
-0.022487182170152664,
-0.011408131569623947,
-0.019013551995158195,
0.023986326530575752,
0.03978220000863075,
-0.01790747605264187,
0.04888676851987839,
0.032505862414836884,
0.008642938919365406,
-0.016901951283216476,
-0.020677238702774048,
-0.017477842047810555,
-0.038941215723752975,
0.033950161188840866,
0.023931480944156647,
0.0533842034637928,
-0.012468501925468445,
0.027752473950386047,
0.02080521360039711,
-0.04746074974536896,
-0.043402090668678284,
0.008496681228280067,
0.042963314801454544,
-0.017569253221154213,
-0.014315010979771614,
-0.0006501629250124097,
0.0348459891974926,
-0.022158101201057434,
0.022249512374401093,
0.0025138109922409058,
-0.03095186874270439,
-0.023584118112921715,
-0.013647708110511303,
-0.03345653787255287,
-0.010905369184911251,
0.009762727655470371,
0.000146258098538965,
0.03347482159733772,
0.030092602595686913,
-0.03583323210477829,
0.005352132022380829,
-0.026984618976712227,
-0.020311592146754265,
-0.0006558761233463883,
-0.00031279807444661856,
0.008720639161765575,
-0.0007358610164374113,
-0.022944238036870956,
-0.039050910621881485,
-0.015092006884515285,
-0.02157306857407093,
0.013812248595058918,
-0.016600294038653374,
0.04376773536205292,
-0.018044592812657356,
0.02583283558487892,
0.010219784453511238,
0.048411428928375244,
-0.00427804933860898,
0.024443384259939194,
0.002703489502891898,
0.019104963168501854,
-0.0013597431825473905,
0.01599697954952717,
-0.026198480278253555,
-0.007737967185676098,
0.0195985846221447,
-0.0005796048208139837,
-0.037423789501190186,
0.05195818841457367,
-0.0013803107431158423,
0.05053216964006424,
0.00008426979911746457,
0.018090298399329185,
0.031098127365112305,
-0.059892687946558,
0.033383410423994064,
-0.02603393979370594,
0.011472119018435478,
-0.0014922895934432745,
-0.00219729938544333,
-0.01869361288845539,
0.04172012209892273,
-0.03886808827519417,
-0.00025823694886639714,
-0.030586224049329758,
-0.003142263740301132,
-0.04618099331855774,
0.032505862414836884,
0.01329120434820652,
-0.04672946035861969,
-0.011828622780740261,
0.012505066581070423,
-0.005247008986771107,
-0.04815547540783882,
0.03897778317332268,
0.04753388091921806,
-0.02060410939157009,
-0.02678351290524006,
0.003469059243798256,
-0.007061523385345936,
0.038941215723752975,
-0.03634513542056084,
-0.03824649006128311,
-0.006631890311837196,
0.04109852388501167,
-0.04022097587585449,
0.04566909000277519,
-0.007820237427949905,
-0.0015665612882003188,
-0.016819680109620094,
-0.03267040103673935,
-0.041025396436452866,
-0.02104288339614868,
0.017523547634482384,
-0.006741583812981844,
0.015384523198008537,
0.03257898986339569,
0.044828105717897415,
-0.024150867015123367,
-0.008300147019326687,
-0.008428122848272324,
0.0022624297998845577,
0.04621755704283714,
-0.003834704402834177,
0.045376572757959366,
0.016225507482886314,
0.06464608013629913,
0.02320018969476223,
-0.02146337553858757,
-0.0196168664842844,
-0.04720479995012283,
-0.04848455637693405,
-0.025997376069426537,
0.003688446246087551,
-0.04943523555994034,
0.0023172765504568815,
0.009972973726689816,
0.0018887860933318734,
0.018547354266047478,
0.009625610895454884,
0.00038221353315748274,
0.022505464032292366,
0.01618894189596176,
-0.05210444703698158,
-0.022944238036870956,
-0.018337108194828033,
0.007609991356730461,
-0.011298437602818012,
0.021225705742836,
-0.05400580167770386,
0.018757600337266922,
0.018291402608156204,
-0.0016488314140588045,
0.02234092354774475,
-0.02385835163295269,
-0.00922797154635191,
0.0005647504585795105,
0.00931481271982193,
0.01737728901207447,
-0.03495568409562111,
0.031226102262735367,
-0.010494017973542213,
-0.03967250883579254,
-0.013656849041581154,
-0.007591709028929472,
0.02058582566678524,
-0.06011207774281502,
0.03139064460992813,
-0.046766024082899094,
0.07459162920713425,
0.0027606214862316847,
0.0050367629155516624,
-0.011042485944926739,
0.009118277579545975,
0.0414276048541069,
-0.014452127739787102,
0.03846587985754013,
-0.061391834169626236,
-0.0052790031768381596,
-0.023456141352653503,
0.00012204837548779324,
0.011782917194068432,
0.008624657057225704,
0.011920034885406494,
-0.01817256771028042,
0.005507531110197306,
-0.02146337553858757,
-0.003777572186663747,
0.06362227350473404,
0.0413910411298275,
-0.0007598564843647182,
0.038173362612724304,
0.015622192062437534,
-0.014762925915420055,
0.009186836890876293,
0.025320932269096375,
-0.008249870501458645,
0.010055243968963623,
-0.015073725022375584,
0.0008666934445500374,
-0.006151981186121702,
0.007728826254606247,
0.032286472618579865,
0.03842931240797043,
-0.006343944929540157,
-0.017852628603577614,
-0.032725248485803604,
-0.03475457802414894,
-0.046766024082899094,
-0.025211239233613014,
-0.017340725287795067,
-0.003162831300869584,
-0.009022296406328678,
-0.031408924609422684,
0.04508405551314354,
-0.020403003320097923,
0.006682166364043951,
-0.003834704402834177,
0.013656849041581154,
-0.005946305580437183,
0.011846905574202538,
0.010046103037893772,
0.04095226526260376,
0.003231389680877328,
0.046436943113803864,
0.019909383729100227,
0.02036643959581852,
0.006298238877207041,
-0.004040380008518696,
-0.008912602439522743,
-0.037624895572662354,
-0.008080760017037392,
-0.010576288215816021,
-0.02713087573647499,
0.021225705742836,
-0.01639004796743393,
-0.05565120279788971,
0.01564047485589981,
-0.004794523119926453,
-0.02767934463918209,
-0.0025206669233739376,
0.00023638393031433225,
-0.025010133162140846,
-0.0468757189810276,
0.009972973726689816,
0.05078812316060066,
0.05970986559987068,
-0.0005958874826319516,
0.025448907166719437,
-0.04870394617319107,
-0.03115297295153141,
0.03705814480781555,
-0.0008718353346921504,
-0.000022585019905818626,
-0.015055442228913307,
-0.011243591085076332,
-0.022724851965904236,
-0.01344660297036171,
0.030092602595686913,
0.009561622515320778,
-0.013227215968072414,
0.001362028531730175,
0.02102460153400898,
-0.07020388543605804,
0.0013140375958755612,
-0.02733198180794716
] |
Future generations of mobile networks are expected to contain more and more
antennas with growing complexity and more parameters. Optimizing these
parameters is necessary for ensuring the good performance of the network. The
scale of mobile networks makes it challenging to optimize antenna parameters
using manual intervention or hand-engineered strategies. Reinforcement learning
is a promising technique to address this challenge but existing methods often
use local optimizations to scale to large network deployments. We propose a new
multi-agent reinforcement learning algorithm to optimize mobile network
configurations globally. By using a value decomposition approach, our algorithm
can be trained from a global reward function instead of relying on an ad-hoc
decomposition of the network performance across the different cells. The
algorithm uses a graph neural network architecture which generalizes to
different network topologies and learns coordination behaviors. We empirically
demonstrate the performance of the algorithm on an antenna tilt tuning problem
and a joint tilt and power control problem in a simulated environment. | [
0.006668717134743929,
-0.038322608917951584,
-0.03199268877506256,
-0.019727393984794617,
0.01904122531414032,
0.030860507860779762,
-0.07163617759943008,
0.03382819518446922,
-0.05317819491028786,
0.018492288887500763,
-0.0061326464638113976,
-0.06254442036151886,
0.03067181073129177,
-0.003598105162382126,
0.011630585417151451,
0.04659096151590347,
0.04388058930635452,
-0.010678524151444435,
0.004537300672382116,
-0.04130744934082031,
0.047311440110206604,
-0.03516622632741928,
0.02657194249331951,
0.02518244832754135,
-0.007088996469974518,
0.0037846576888114214,
-0.00018695459584705532,
0.008088232018053532,
-0.09434840828180313,
0.045184310525655746,
0.03430851176381111,
0.010146742686629295,
0.037259045988321304,
0.03060319274663925,
-0.04961010813713074,
-0.006973205134272575,
0.018011968582868576,
-0.0025109541602432728,
-0.0049618687480688095,
0.05602579936385155,
-0.009108910337090492,
0.003518766723573208,
-0.02341555990278721,
-0.02341555990278721,
0.04192500188946724,
-0.031769681721925735,
-0.05201170593500137,
-0.0020424285903573036,
-0.020310640335083008,
-0.022626463323831558,
0.015473139472305775,
-0.029333777725696564,
0.022712236270308495,
-0.0015331616159528494,
-0.05290372669696808,
0.0035702295135706663,
0.035475000739097595,
0.021974602714180946,
0.06679867208003998,
0.05513377860188484,
0.04422367364168167,
-0.024307580664753914,
-0.08364415168762207,
0.0033836769871413708,
0.012265292927622795,
-0.05314388498663902,
0.007136170752346516,
0.014538232237100601,
-0.013268817216157913,
0.010455518960952759,
-0.07122447341680527,
0.018355054780840874,
-0.07595904916524887,
-0.04456675797700882,
0.002941954880952835,
-0.0041513298638165,
0.027858512476086617,
0.03914601355791092,
0.014426729641854763,
0.03326210379600525,
0.03101489506661892,
0.009340493008494377,
-0.04919840767979622,
-0.0026674869004637003,
0.057809844613075256,
0.02571422979235649,
0.034754522144794464,
-0.048752397298812866,
-0.02638324536383152,
-0.007453524507582188,
-0.08336968719959259,
0.037053193897008896,
-0.033296409994363785,
0.03307340666651726,
0.027258113026618958,
0.008045346476137638,
-0.011956516653299332,
-0.007908112369477749,
-0.06309335678815842,
0.0395234078168869,
-0.04487553611397743,
0.001792619819752872,
0.034685906022787094,
0.01550744753330946,
-0.025079522281885147,
-0.03835691884160042,
-0.04912979155778885,
0.014761237427592278,
-0.00434645963832736,
0.10704255849123001,
0.021597208455204964,
-0.03602393716573715,
-0.01308869756758213,
0.0386313833296299,
-0.08961383253335953,
0.015061437152326107,
-0.024839363992214203,
-0.04298856481909752,
-0.0032614530064165592,
0.022592155262827873,
-0.015953458845615387,
0.02188883163034916,
0.006059741135686636,
-0.07191064208745956,
-0.057947076857089996,
0.036984577775001526,
0.023587102070450783,
0.016691090539097786,
0.03691595792770386,
-0.027189496904611588,
-0.03499468415975571,
0.0015127910301089287,
-0.022626463323831558,
-0.012222407385706902,
0.006124069448560476,
0.02379295416176319,
0.018234973773360252,
-0.0168025940656662,
-0.015061437152326107,
-0.03743058815598488,
0.04223378002643585,
-0.01133896317332983,
-0.001309084240347147,
0.0014141539577394724,
0.060211438685655594,
-0.0010158536024391651,
0.007805186789482832,
0.09537766873836517,
-0.040895745158195496,
-0.0013841340551152825,
-0.04566463083028793,
0.08371277153491974,
-0.01797766052186489,
0.049095481634140015,
0.011896477080881596,
-0.018286436796188354,
-0.01620219461619854,
0.0037675034254789352,
-0.01395498774945736,
0.008388431742787361,
0.016605319455266,
-0.01996755413711071,
-0.008744382299482822,
0.07156755775213242,
0.027669815346598625,
0.03914601355791092,
0.04137606546282768,
0.020533645525574684,
-0.0649460107088089,
0.05170292779803276,
-0.012616955675184727,
-0.04713989794254303,
-0.038905851542949677,
0.015318751335144043,
-0.00420064851641655,
-0.003244298743084073,
0.0347888320684433,
0.004213514272123575,
0.038253992795944214,
-0.000562874018214643,
-0.06034867465496063,
0.0267091765999794,
0.0025752827059477568,
0.08570266515016556,
0.007509275805205107,
0.07053830474615097,
0.04412074759602547,
-0.03907739743590355,
-0.020996809005737305,
-0.030448805540800095,
-0.005009043030440807,
0.03650425747036934,
0.049472875893116,
-0.03938617184758186,
-0.0035402097273617983,
-0.09167234599590302,
-0.0011118102120235562,
0.005635173059999943,
-0.013508976437151432,
-0.01060990709811449,
-0.02895638532936573,
-0.022900931537151337,
0.011527660302817822,
-0.010987301357090473,
0.017505917698144913,
0.020276330411434174,
0.027292421087622643,
-0.026280321180820465,
0.019144149497151375,
-0.027481118217110634,
-0.032558780163526535,
-0.0797329843044281,
-0.020379256457090378,
-0.006514328997582197,
-0.027652660384774208,
0.004794614855200052,
0.05674628168344498,
-0.0034480055328458548,
-0.023621410131454468,
-0.014555386267602444,
0.025868618860840797,
0.0634707510471344,
0.08508510887622833,
0.029076464474201202,
-0.038116756826639175,
-0.02988271415233612,
0.014238032512366772,
-0.039694949984550476,
-0.045047078281641006,
-0.019470080733299255,
-0.0625787302851677,
0.005811004433780909,
0.0066086770966649055,
-0.008041057735681534,
0.06813670694828033,
-0.0005116792744956911,
0.02254069223999977,
0.046385109424591064,
0.019487235695123672,
-0.025113830342888832,
-0.038459841161966324,
-0.02578284777700901,
-0.022626463323831558,
-0.01524155680090189,
0.085153728723526,
-0.018818218261003494,
-0.032301463186740875,
0.03180399164557457,
0.04583617299795151,
-0.01910984143614769,
-0.0749984085559845,
-0.03674441576004028,
-0.009632115252315998,
0.004953291732817888,
-0.02103111892938614,
-0.013346011750400066,
0.015558910556137562,
-0.04429228976368904,
0.04755159839987755,
-0.023055320605635643,
0.054859310388565063,
0.057432450354099274,
-0.007119016256183386,
0.010558445006608963,
-0.005725232884287834,
0.00962353777140379,
0.008023903705179691,
0.05249202251434326,
-0.06134362146258354,
0.007848071865737438,
-0.07218511402606964,
-0.03931755572557449,
0.014786968939006329,
0.006008278112858534,
-0.009254720993340015,
-0.026897873729467392,
-0.02837314084172249,
-0.007312001660466194,
0.0015985622303560376,
-0.0028261637780815363,
0.02288377843797207,
-0.04192500188946724,
0.03029441647231579,
0.028201596811413765,
-0.0025345413014292717,
-0.014521078206598759,
-0.026074469089508057,
-0.01553317904472351,
-0.04048404470086098,
0.019350001588463783,
0.01365478802472353,
-0.0035080453380942345,
0.022249070927500725,
0.0018494433024898171,
0.04312580078840256,
-0.031838297843933105,
-0.012213830836117268,
-0.043674737215042114,
0.04933563992381096,
0.02916223555803299,
-0.00876582507044077,
0.004970445763319731,
-0.0014795545721426606,
0.010395479388535023,
-0.04113590717315674,
-0.023449867963790894,
-0.04291994869709015,
0.012351064942777157,
-0.038700003176927567,
0.01265984121710062,
0.029848406091332436,
0.034685906022787094,
0.010618484579026699,
-0.04614495113492012,
-0.06240718439221382,
0.02969401702284813,
0.045458778738975525,
-0.018732447177171707,
0.002300814725458622,
-0.039900798350572586,
0.017420146614313126,
0.027429655194282532,
-0.05201170593500137,
0.03722473606467247,
0.000269375421339646,
0.028527528047561646,
0.05214893817901611,
-0.00012872392835561186,
-0.030706118792295456,
-0.008705785498023033,
-0.03821968287229538,
0.051874469965696335,
-0.044738300144672394,
-0.03773936256766319,
-0.003424418391659856,
0.023501330986618996,
0.0025109541602432728,
0.007916688919067383,
-0.029179390519857407,
0.0014173703966662288,
-0.023244017735123634,
-0.027206650003790855,
0.027944283559918404,
0.014340958558022976,
-0.03835691884160042,
-0.028716225177049637,
-0.07390053570270538,
0.008435605093836784,
0.026726331561803818,
0.01556748803704977,
0.000879691680893302,
-0.0344972088932991,
0.03022580035030842,
0.013294548727571964,
0.06813670694828033,
-0.0333135649561882,
-0.02068803273141384,
0.014949934557080269,
-0.03931755572557449,
-0.0013315991964191198,
0.013680519536137581,
-0.053452663123607635,
-0.025697076693177223,
-0.01150192879140377,
-0.053864363580942154,
0.003417985513806343,
-0.017737500369548798,
-0.016159309074282646,
-0.01645950973033905,
0.024376198649406433,
-0.020842421799898148,
0.02909361943602562,
0.03139228746294975,
0.021837368607521057,
-0.007749435491859913,
0.017471609637141228,
0.016648204997181892,
-0.0266577135771513,
-0.057432450354099274,
0.030140027403831482,
0.029179390519857407,
0.012900000438094139,
0.023449867963790894,
0.000903814856428653,
0.033948272466659546,
0.08913351595401764,
0.04672819375991821,
-0.053864363580942154,
-0.010112433694303036,
0.06638697534799576,
0.02163151651620865,
-0.0533154271543026,
-0.03463444486260414,
-0.01797766052186489,
0.003473736811429262,
-0.005828158464282751,
0.00108661490958184,
0.007685106713324785,
-0.009975199587643147,
-0.056368887424468994,
-0.012814229354262352,
-0.010652793571352959,
-0.00922041293233633,
0.01837220788002014,
-0.01451250072568655,
-0.01524155680090189,
-0.03928324580192566,
-0.08872181177139282,
0.014864163473248482,
-0.034274205565452576,
0.029865561053156853,
-0.01440957561135292,
-0.030140027403831482,
-0.05211463198065758,
0.035749468952417374,
0.051394153386354446,
-0.04429228976368904,
-0.05777553468942642,
0.011990824714303017,
-0.08144840598106384,
-0.006827394012361765,
0.007427792996168137,
0.04007234424352646,
-0.0017304356442764401,
-0.004584474954754114,
0.020533645525574684,
0.026949336752295494,
-0.036058247089385986,
-0.03743058815598488,
-0.016639629378914833,
0.015721876174211502,
0.009014561772346497,
0.032370083034038544,
-0.04298856481909752,
-0.024564895778894424,
0.004730286076664925,
0.015018551610410213,
0.03214707598090172,
-0.02881915122270584,
-0.05170292779803276,
0.01943577267229557,
-0.050948143005371094,
-0.031443752348423004,
-0.010918684303760529,
0.021991755813360214,
-0.0006132646813057363,
0.00747067853808403,
-0.05853032320737839,
0.008808710612356663,
-0.005789561662822962,
-0.0495758019387722,
-0.00547220790758729,
-0.102102130651474,
-0.015293019823729992,
0.04463537409901619,
0.003737483639270067,
0.015636105090379715,
-0.04648803547024727,
-0.021665826439857483,
-0.032558780163526535,
-0.012145213782787323,
0.02459920383989811,
0.011750665493309498,
-0.08872181177139282,
0.023364096879959106,
-0.0012919299770146608,
-0.027155186980962753,
-0.05431037396192551,
0.017017021775245667,
-0.018680986016988754,
0.008268351666629314,
-0.07794894278049469,
0.07088138908147812,
0.039969418197870255,
0.017557380720973015,
-0.008388431742787361,
-0.027927128598093987,
-0.09613244980573654,
0.0039047375321388245,
-0.008139695040881634,
0.02969401702284813,
0.0267091765999794,
0.047380056232213974,
-0.01035259384661913,
-0.03691595792770386,
-0.018869681283831596,
0.018886836245656013,
-0.02077380381524563,
0.027429655194282532,
-0.0024401929695159197,
0.04991888627409935,
0.01381775364279747,
-0.042473938316106796,
0.04919840767979622,
-0.015353059396147728,
0.003141373163089156,
0.024839363992214203,
-0.0139206787571311,
0.004533012397587299,
0.024479122832417488,
-0.022266224026679993,
-0.03722473606467247,
0.04113590717315674,
0.03924893960356712,
0.0024251830764114857,
-0.01904122531414032,
0.059731122106313705,
0.049884576350450516,
-0.0036710109561681747,
0.00991516001522541,
0.028184443712234497,
0.04456675797700882,
0.02077380381524563,
-0.03228431195020676,
-0.005300665274262428,
0.01790904439985752,
-0.009023139253258705,
-0.009563498198986053,
0.010506981983780861,
0.038322608917951584,
0.007843784056603909,
-0.03530345857143402,
0.024118883535265923,
0.0070289564318954945,
-0.027927128598093987,
0.0548936203122139,
0.01845797896385193,
-0.028527528047561646,
0.020790958777070045,
0.016450932249426842,
-0.03187260776758194,
0.0363670215010643,
-0.019229920580983162,
-0.0457332469522953,
-0.06522048264741898,
0.0001668519398663193,
0.017617421224713326,
0.015618950128555298,
-0.033210638910532,
-0.009992354549467564,
0.002673919778317213,
0.023775799199938774,
0.0024230387061834335,
-0.009537766687572002,
0.028390293940901756,
-0.015627527609467506,
0.0363670215010643,
-0.022197607904672623,
-0.007294847629964352,
0.01890399120748043,
0.01871529407799244,
-0.02559415064752102,
-0.0139206787571311,
-0.003797523444518447,
-0.04120452329516411,
-0.039832182228565216,
-0.014726929366588593,
-0.025765692815184593,
-0.05746676027774811,
-0.0247879009693861,
0.02300385758280754,
-0.02381010726094246,
-0.04298856481909752,
-0.0054121678695082664,
-0.009023139253258705,
-0.04055266082286835,
0.021168353036046028,
0.03671010956168175,
0.02202606573700905,
0.0333135649561882,
-0.008885905146598816,
-0.01679401658475399,
-0.006514328997582197,
-0.004940425977110863,
0.019607314839959145,
-0.01094441581517458,
-0.011613431386649609,
0.017008444294333458,
0.0024251830764114857,
-0.047242820262908936,
0.012505453079938889,
-0.04569893702864647,
0.03374242037534714,
0.0009091756073758006,
0.005506516434252262,
-0.01797766052186489,
-0.00829837191849947,
-0.014726929366588593,
0.015979189425706863,
-0.0588390976190567,
-0.01760026626288891,
0.013431782834231853,
-0.01540452241897583,
-0.013989295810461044,
-0.032764628529548645,
-0.028716225177049637,
0.018595213070511818,
0.011090226471424103,
0.01422087848186493,
-0.07067553699016571,
-0.019229920580983162,
0.031049203127622604,
0.020533645525574684,
-0.013586170971393585,
-0.007547872606664896,
0.005489361938089132,
0.03484029322862625,
0.042165160179138184,
0.017360107973217964,
0.017222873866558075,
0.0007547872955910861,
0.031100666150450706,
0.05324681103229523,
0.0007258394616656005,
0.027463965117931366,
0.03274747356772423,
-0.006359940394759178,
-0.004192071501165628,
0.0018687418196350336,
-0.033879656344652176,
0.04223378002643585,
-0.033416491001844406,
0.04734574630856514,
-0.014581117779016495,
-0.01983032003045082,
0.01253118459135294,
-0.008418451063334942,
-0.028870614245533943,
0.017085639759898186,
-0.020087633281946182,
-0.03393111750483513,
-0.013234509155154228,
-0.05060505494475365,
0.011227460578083992,
-0.0009820811683312058,
-0.05811861902475357,
-0.020087633281946182,
0.040038034319877625,
-0.007380618713796139,
0.02353563904762268,
-0.04971303418278694,
0.010824335739016533,
-0.01651954837143421,
0.0259200818836689,
0.0054121678695082664,
-0.0034115526359528303,
-0.001300507108680904,
0.002607446862384677,
0.008259774185717106,
0.0472085140645504,
0.0010346160270273685,
0.04775745049118996,
0.0012393950019031763,
0.04350319504737854,
-0.011519082821905613,
-0.025302527472376823,
0.023518485948443413,
0.01573902927339077,
0.011510506272315979,
0.04940425977110863,
0.02070518769323826,
0.012402527034282684,
-0.0019019781611859798,
-0.010704255662858486,
0.011622008867561817,
-0.016545280814170837,
0.032301463186740875,
0.05942234396934509,
0.03681303560733795,
0.019864628091454506,
-0.02976263500750065,
0.0022665061987936497,
-0.014701197855174541,
0.010275399312376976,
0.029642554000020027,
-0.014298073016107082,
0.035749468952417374,
0.032507315278053284,
-0.05842739716172218,
-0.02895638532936573,
-0.007320578675717115,
0.00045163941103965044,
-0.004635937977582216,
0.0018183512147516012,
-0.026486171409487724,
-0.021168353036046028,
0.003242154372856021,
0.005206316709518433,
0.005931084044277668,
0.0045158579014241695,
-0.04271409660577774,
0.0073420219123363495,
0.011321809142827988,
-0.039180319756269455,
0.023638565093278885,
0.028716225177049637,
0.048821013420820236,
0.00474315183237195,
0.04679680988192558,
-0.0320269949734211,
-0.01885252818465233,
0.011090226471424103,
0.00732486741617322,
0.035011835396289825,
0.019984709098935127,
0.022643618285655975,
0.006527194753289223,
0.030500268563628197,
-0.022111836820840836,
-0.005733810365200043,
0.009168949909508228,
-0.0050219083204865456,
-0.027807049453258514,
0.02888776734471321,
0.019195612519979477,
-0.0054979389533400536,
-0.014589695259928703,
0.012642687186598778,
-0.005244913976639509,
-0.007256250362843275,
0.010927260853350163,
0.01996755413711071,
0.019350001588463783,
-0.05588856711983681,
0.0005778840277343988,
-0.012900000438094139,
0.03537207469344139,
0.04000372439622879,
-0.012402527034282684,
0.0035702295135706663,
-0.026366092264652252,
-0.0017958362586796284,
-0.042542554438114166,
0.008517088368535042,
0.026023006066679955,
0.02790997549891472,
-0.022900931537151337,
0.021442821249365807,
-0.014332381077110767,
-0.011759242974221706,
0.021236969158053398,
-0.027155186980962753,
0.040621280670166016,
0.0023608545307070017,
0.005047639831900597,
0.012882846407592297,
-0.029539629817008972,
0.014786968939006329,
-0.015773339197039604,
-0.030071411281824112,
0.040106650441884995,
-0.024238964542746544,
0.04171914979815483,
-0.017943352460861206,
-0.022986702620983124,
0.048958245664834976,
0.018269283697009087,
-0.012291024439036846,
-0.0012511885724961758,
0.03235292807221413,
0.009563498198986053,
0.025731384754180908,
-0.005502227693796158,
0.0033686670940369368,
0.013749136589467525,
0.025079522281885147,
-0.0387343093752861,
0.0051248339004814625,
0.01378344465047121,
-0.019813166931271553,
0.026932181790471077,
-0.01811489462852478,
0.02017340622842312,
-0.040964365005493164,
-0.004417221061885357,
0.001149335177615285,
0.009349069558084011,
-0.01104734092950821,
-0.018560905009508133,
0.007745146751403809,
-0.02492513507604599,
-0.01534448191523552,
0.007886669598519802,
0.05949096009135246,
-0.0070546879433095455,
0.004627360496670008,
-0.03753351420164108,
-0.012205253355205059,
-0.003062034724280238,
0.03866569325327873,
0.02320970967411995,
-0.011381848715245724,
-0.02610877901315689,
0.02816728875041008,
0.05475638434290886,
0.003791090566664934,
0.00013589387526735663,
0.014521078206598759,
-0.03571516275405884,
-0.01957300677895546,
0.013260239735245705,
-0.0056566158309578896,
-0.03254162520170212,
0.02279800735414028,
-0.03444574773311615,
0.0019384309416636825,
-0.027532581239938736,
-0.01792619749903679,
-0.03285039961338043,
-0.01732579804956913,
0.002691074041649699,
0.019916091114282608,
-0.0068402597680687904,
0.0135518629103899,
0.007496410049498081,
-0.010995877906680107,
-0.016433777287602425,
0.034685906022787094,
-0.004149185959249735,
-0.0689944177865982,
-0.023895878344774246,
-0.01556748803704977,
-0.004940425977110863,
0.04243962839245796,
-0.060074206441640854,
-0.015327327884733677,
0.003994797356426716,
-0.027017952874302864,
0.030208645388484,
-0.01078145019710064,
0.005197739694267511,
0.06089761108160019,
-0.032901864498853683,
0.0395234078168869,
-0.05468776822090149,
0.008800133131444454,
0.0036710109561681747,
0.020087633281946182,
-0.03767074644565582,
0.017154255881905556,
-0.014563963748514652,
0.0070847077295184135,
-0.02525106444954872,
-0.016828324645757675,
-0.07890957593917847,
-0.008920213207602501,
-0.010875798761844635,
-0.01074714120477438,
0.0038682848680764437,
-0.003008427796885371,
-0.014898471534252167,
0.03622978925704956,
0.0734202191233635,
-0.010395479388535023,
0.00922041293233633,
-0.0013433926505967975,
-0.0017894033808261156,
0.03842553496360779,
-0.028115825727581978,
-0.015155785717070103,
0.01943577267229557,
0.039043087512254715,
0.015104322694242,
-0.08302660286426544,
0.016759708523750305,
-0.015610373578965664,
-0.003505901200696826,
-0.057295214384794235,
-0.019024070352315903,
0.004567320924252272,
0.0013123005628585815,
0.004768883343786001,
-0.019470080733299255,
0.027721278369426727,
0.016219349578022957,
-0.010060971602797508,
0.007526429835706949,
-0.014392420649528503,
0.0019470080733299255,
0.014992820098996162,
0.004147041589021683,
0.012676995247602463,
-0.01091010682284832,
-0.028458911925554276,
0.0378422886133194,
-0.02393018826842308,
-0.019675932824611664,
-0.039043087512254715,
-0.007843784056603909,
-0.04686542972922325,
0.016107846051454544,
0.029659708961844444,
-0.01885252818465233,
0.0022000332828611135,
0.012908577919006348,
0.03581808879971504,
-0.028922075405716896,
-0.020842421799898148,
0.024341890588402748,
0.07016091048717499,
0.011579123325645924,
-0.0448412261903286,
0.04065558686852455,
-0.022969549521803856,
0.05283511057496071,
-0.003364378586411476,
-0.04683111980557442,
0.024170346558094025,
0.0060468753799796104,
-0.03530345857143402,
-0.0024144614581018686,
-0.03856276720762253,
0.021116890013217926,
-0.013534707948565483,
0.028853459283709526,
-0.017943352460861206,
-0.015756184235215187,
-0.026348937302827835,
0.021065426990389824,
0.03235292807221413,
0.025800000876188278,
0.02652047947049141,
-0.01744587905704975,
0.017840426415205002,
-0.01666535995900631,
0.030894815921783447,
0.018492288887500763,
0.004361469764262438,
-0.015361636877059937,
-0.0048332116566598415,
-0.019555851817131042,
0.024427661672234535,
0.03516622632741928,
-0.01983032003045082,
0.02480505406856537,
0.017703192308545113,
0.004365758039057255,
0.014701197855174541,
-0.00436361413449049,
0.023981649428606033,
-0.03756782039999962,
-0.018286436796188354,
0.023981649428606033,
0.020413564518094063,
0.051805853843688965,
-0.0066086770966649055,
0.02652047947049141,
0.0243933517485857,
-0.0070246681571006775,
0.06226995214819908,
-0.018989762291312218,
-0.005317819304764271,
-0.022454921156167984,
-0.041032981127500534,
-0.002294381847605109,
0.013860639184713364,
0.010875798761844635,
-0.061446547508239746,
0.020019017159938812,
0.029779788106679916,
-0.0005746675888076425,
0.018680986016988754,
-0.02518244832754135,
-0.019864628091454506,
-0.03312486782670021,
0.05897633358836174,
0.005630884785205126,
-0.003600249532610178,
-0.03667579963803291,
0.034874603152275085,
0.04919840767979622,
-0.04580186307430267,
0.021065426990389824,
-0.008761536329984665,
-0.01739441603422165,
0.008023903705179691,
-0.010489827953279018,
-0.012874268926680088,
0.004996177274733782,
0.023038165643811226,
0.09661277383565903,
0.01818351075053215,
0.012368218973279,
-0.020722340792417526,
0.0014934923965483904,
-0.035269152373075485,
-0.009829388931393623,
-0.004400066565722227,
-0.013800599612295628,
0.0047045545652508736,
-0.03513191640377045,
0.003186403075233102,
0.008637168444693089,
-0.0004122382088098675,
-0.023312633857131004,
0.02314109168946743,
0.020447872579097748,
-0.047380056232213974,
0.015687568113207817,
0.0023051032330840826,
-0.004653092008084059,
-0.03787659853696823,
0.00504335155710578,
0.09400532394647598,
0.004174917005002499,
-0.015395944938063622,
0.016553856432437897,
0.009803657419979572,
-0.018663831055164337,
0.051462769508361816,
0.014907049015164375,
0.0038983046542853117,
-0.008658611215651035,
0.015052859671413898,
0.011879322119057178,
0.027481118217110634,
-0.015498870983719826,
0.03298763558268547,
0.022128989920020103,
-0.029453858733177185,
-0.003387965727597475,
-0.024153193458914757,
0.01566183567047119,
0.0013787733623757958
] |
Many visualizations have been developed for explainable AI (XAI), but they
often require further reasoning by users to interpret. We argue that XAI should
support diagrammatic and abductive reasoning for the AI to perform hypothesis
generation and evaluation to reduce the interpretability gap. We propose
Diagrammatization to i) perform Peircean abductive-deductive reasoning, ii)
follow domain conventions, and iii) explain with diagrams visually or verbally.
We implemented DiagramNet for a clinical application to predict cardiac
diagnoses from heart auscultation, and explain with shape-based murmur
diagrams. In modeling studies, we found that DiagramNet not only provides
faithful murmur shape explanations, but also has better prediction performance
than baseline models. We further demonstrate the interpretability and
trustworthiness of diagrammatic explanations in a qualitative user study with
medical students, showing that clinically-relevant, diagrammatic explanations
are preferred over technical saliency map explanations. This work contributes
insights into providing domain-conventional abductive explanations for
user-centric XAI. | [
0.009168400429189205,
0.02554183080792427,
-0.040744442492723465,
-0.009222437627613544,
0.07608511298894882,
0.022569755092263222,
-0.008911721408367157,
0.0014646474737673998,
-0.00839385949075222,
-0.0033480871934443712,
-0.028766080737113953,
-0.017877480015158653,
0.027216998860239983,
0.008227243088185787,
-0.01491441112011671,
0.022011365741491318,
0.025703944265842438,
-0.013365330174565315,
-0.03706987947225571,
-0.054253872483968735,
0.001502924133092165,
-0.009001784026622772,
-0.01631939224898815,
-0.03422389179468155,
0.07334720343351364,
0.044382981956005096,
0.030207086354494095,
-0.01169916708022356,
-0.10087041556835175,
0.07352732867002487,
0.012797934003174305,
0.028621980920433998,
-0.0257219560444355,
-0.01832779496908188,
-0.02494741603732109,
-0.015788020566105843,
-0.0025960621424019337,
0.016814738512039185,
0.007894010283052921,
0.08761315792798996,
-0.005732501856982708,
-0.017661329358816147,
0.07302297651767731,
-0.016589580103754997,
-0.019921906292438507,
-0.026892773807048798,
-0.05785638839006424,
-0.007056425791233778,
-0.0205343347042799,
0.02505549043416977,
0.008051620796322823,
-0.04391465708613396,
0.03890715911984444,
-0.008623519912362099,
-0.017706360667943954,
0.004381558857858181,
0.010528349317610264,
0.01097866427153349,
0.07947147637605667,
-0.04391465708613396,
0.03117976523935795,
0.03600713610649109,
0.0027514207176864147,
0.05346132069826126,
0.006597105413675308,
-0.06261170655488968,
-0.0022132950834929943,
0.009123369120061398,
-0.05202031508088112,
0.01473428588360548,
-0.007475218269973993,
-0.002769433194771409,
-0.02595611847937107,
0.017985554412007332,
-0.015013480558991432,
-0.003559734905138612,
0.02709091082215309,
0.021398937329649925,
0.01145599689334631,
-0.01142897829413414,
0.03987983986735344,
0.02084054797887802,
-0.027162961661815643,
0.014851367101073265,
0.05101161077618599,
-0.02631637081503868,
0.00534072844311595,
-0.05371349677443504,
0.015067518688738346,
-0.03951958939433098,
-0.029720747843384743,
-0.019597681239247322,
0.0025375213008373976,
-0.0007525878609158099,
0.016040196642279625,
-0.029180370271205902,
0.04168109595775604,
0.0016087479889392853,
-0.03375556319952011,
-0.029306458309292793,
0.023524422198534012,
-0.011780223809182644,
-0.033413324505090714,
0.05587500333786011,
0.023704547435045242,
-0.059441495686769485,
0.015670940279960632,
-0.025199592113494873,
-0.04665256664156914,
0.1420111358165741,
-0.031576041132211685,
0.010159092023968697,
-0.07194221764802933,
-0.038006532937288284,
0.0005029448657296598,
-0.011888299137353897,
-0.05731601268053055,
-0.060450199991464615,
-0.011437984183430672,
-0.016409454867243767,
-0.018841153010725975,
0.01256377063691616,
-0.0038276719860732555,
0.016823744401335716,
-0.04117674380540848,
0.08660445362329483,
0.014590185135602951,
-0.0141398711130023,
0.02727103792130947,
0.042761851102113724,
0.0260641947388649,
0.056163206696510315,
0.023848649114370346,
-0.017120951786637306,
0.02451511286199093,
0.01487838663160801,
-0.007948048412799835,
-0.011392952874302864,
0.011807242408394814,
-0.0214349627494812,
-0.04099661856889725,
-0.04005996510386467,
-0.008411872200667858,
-0.02024613320827484,
0.021993353962898254,
-0.006462011020630598,
-0.0059531559236347675,
0.08437089622020721,
-0.047301020473241806,
0.06751112639904022,
-0.07586896419525146,
0.0376102551817894,
0.00027933562523685396,
-0.01602218486368656,
0.04668859392404556,
0.002087207045406103,
-0.012779921293258667,
-0.051335837692022324,
-0.01685076393187046,
-0.05317311733961105,
0.06506142020225525,
-0.02725302428007126,
0.009483620524406433,
-0.0000670194422127679,
0.0205343347042799,
-0.00967275258153677,
-0.06643037497997284,
-0.0547582246363163,
-0.008258765563368797,
0.039195362478494644,
-0.019381530582904816,
0.05248863995075226,
-0.016220323741436005,
-0.027523213997483253,
-0.04834574833512306,
0.03566489741206169,
0.023254232481122017,
0.04160904511809349,
-0.07359937578439713,
-0.04049226641654968,
-0.04874202609062195,
-0.054253872483968735,
0.021831240504980087,
-0.0020038988441228867,
0.022191490978002548,
0.022425655275583267,
0.06772728264331818,
-0.004746313206851482,
0.0023213704116642475,
-0.009852877818048,
0.006561079993844032,
0.01743617095053196,
0.05349734425544739,
-0.018084624782204628,
-0.001643647439777851,
-0.056163206696510315,
-0.023902686312794685,
-0.016526537016034126,
-0.033773574978113174,
-0.030801501125097275,
-0.0436985045671463,
-0.04117674380540848,
-0.004701281897723675,
0.0064259860664606094,
0.0013115406036376953,
-0.0012057166313752532,
0.005903621204197407,
-0.002472225809469819,
-0.002036546589806676,
-0.06552974134683609,
0.015607895329594612,
0.02619028277695179,
-0.02840583026409149,
-0.05857689306139946,
-0.009249457158148289,
-0.010159092023968697,
0.0014488864690065384,
-0.032008346170186996,
0.008191217668354511,
-0.020282158628106117,
0.04323017969727516,
0.004217193927615881,
0.06106262654066086,
0.007547268643975258,
0.028495892882347107,
0.02934248372912407,
-0.031161753460764885,
-0.0022223014384508133,
0.021831240504980087,
-0.0017607291229069233,
-0.023128144443035126,
0.034728243947029114,
0.06740305572748184,
-0.03323319926857948,
-0.004365797620266676,
-0.06232350692152977,
0.03400773927569389,
0.027631288394331932,
0.02035420946776867,
-0.04060034081339836,
-0.02838781662285328,
-0.010654437355697155,
0.003773634321987629,
-0.000986188417300582,
0.06542167067527771,
-0.02923440746963024,
-0.010573380626738071,
0.02237161621451378,
0.06030609831213951,
-0.050507258623838425,
0.015391744673252106,
0.022353604435920715,
0.044202856719493866,
-0.002859496045857668,
-0.046184241771698,
-0.01478832308202982,
0.05886509269475937,
0.002548779360949993,
0.009294488467276096,
0.019255442544817924,
0.030639389529824257,
0.0013622009428218007,
-0.03335928916931152,
0.05011098086833954,
-0.04463515803217888,
-0.04067239165306091,
0.07673356682062149,
0.03739410266280174,
0.019381530582904816,
-0.028730055317282677,
-0.024659214541316032,
-0.03851088508963585,
-0.059801746159791946,
-0.029540620744228363,
-0.006912325508892536,
-0.03447606787085533,
0.013527443632483482,
0.008164199069142342,
0.03112572804093361,
-0.006326916627585888,
0.011392952874302864,
-0.025487791746854782,
-0.03703385218977928,
-0.013842662796378136,
-0.02642444707453251,
-0.037466153502464294,
0.009663745760917664,
-0.026514509692788124,
-0.08977466821670532,
-0.0031972320284694433,
0.026046182960271835,
-0.03725000470876694,
-0.012770915403962135,
-0.001645898912101984,
0.02709091082215309,
0.026568546891212463,
-0.0036092696245759726,
-0.0420413464307785,
0.03786243125796318,
-0.057243961840867996,
-0.06635832041501999,
-0.012644827365875244,
-0.004199181217700243,
0.07277079671621323,
0.013887695036828518,
0.006754715461283922,
0.02939652092754841,
0.14604595303535461,
-0.031576041132211685,
0.01172618567943573,
0.001953238621354103,
-0.009645733051002026,
-0.013149179518222809,
0.019075315445661545,
-0.02809961512684822,
0.01086158212274313,
0.01929146610200405,
-0.09705174714326859,
0.05374952033162117,
-0.014455091208219528,
0.033413324505090714,
-0.03786243125796318,
-0.1078592911362648,
0.0269648227840662,
0.008105657994747162,
-0.006029709242284298,
0.0007351381937041879,
-0.030729452148079872,
0.010960651561617851,
0.016949832439422607,
-0.03912331163883209,
0.0005299636977724731,
-0.005777533166110516,
0.034079790115356445,
-0.010609406046569347,
-0.03078348934650421,
0.011636123061180115,
0.03615123778581619,
-0.0564153827726841,
-0.004458112176507711,
0.008911721408367157,
-0.04910227656364441,
-0.07586896419525146,
-0.054433997720479965,
0.005255168303847313,
-0.029684722423553467,
-0.009987972676753998,
-0.013410361483693123,
-0.02190328948199749,
-0.03460215404629707,
0.0010047638788819313,
0.006943847518414259,
-0.04441900923848152,
0.009537657722830772,
-0.0334673635661602,
-0.022821931168437004,
-0.00010329085489502177,
-0.025235615670681,
0.04171712324023247,
0.005241659004241228,
0.036763664335012436,
-0.06394463777542114,
-0.021380925551056862,
-0.01649051159620285,
-0.10548163205385208,
-0.03494439274072647,
-0.024262936785817146,
-0.0011606852058321238,
-0.005525357089936733,
0.004514401312917471,
-0.016814738512039185,
0.06743907928466797,
0.005408275406807661,
0.03721397742629051,
0.026622584089636803,
0.01875109039247036,
0.026100220158696175,
-0.015878085047006607,
-0.04351837933063507,
0.03364748880267143,
-0.0531010702252388,
0.002915785415098071,
-0.04359043017029762,
0.05122775956988335,
-0.04362645372748375,
0.06315208226442337,
0.011266864836215973,
0.015391744673252106,
0.01731008291244507,
0.03427792713046074,
0.0177333801984787,
-0.024569151923060417,
0.004104615189135075,
-0.07338322699069977,
0.10396857559680939,
0.007227545604109764,
0.028351791203022003,
-0.029846835881471634,
0.10894005000591278,
-0.03915933519601822,
-0.017643315717577934,
-0.015139568597078323,
0.017454184591770172,
0.02231757901608944,
-0.018381832167506218,
0.027901478111743927,
-0.03191827982664108,
0.014374034479260445,
0.005885608494281769,
-0.00833982229232788,
0.04268980026245117,
0.007700375281274319,
0.023704547435045242,
-0.0257219560444355,
0.0039852820336818695,
0.01288799662142992,
-0.02564990520477295,
0.012239543721079826,
0.04117674380540848,
-0.010690462775528431,
0.021813226863741875,
-0.006750212050974369,
0.007245557848364115,
-0.03615123778581619,
-0.04906625300645828,
0.019543642178177834,
0.0062503633089363575,
-0.018318787217140198,
0.010375242680311203,
0.009082840755581856,
-0.011032701469957829,
0.00565594807267189,
-0.014473102986812592,
-0.04142891988158226,
0.004028061870485544,
-0.00565594807267189,
-0.016040196642279625,
0.010852576233446598,
-0.010456299409270287,
0.0084524005651474,
-0.02993689849972725,
-0.00850643776357174,
-0.010582387447357178,
-0.007056425791233778,
-0.05382157117128372,
0.0007024903898127377,
0.01869705133140087,
-0.04002394154667854,
-0.05828868970274925,
-0.04279787465929985,
-0.008970261551439762,
0.013437380082905293,
-0.06131480261683464,
-0.002965320134535432,
-0.015941128134727478,
-0.010438286699354649,
-0.05969367176294327,
-0.04013201594352722,
-0.0160762220621109,
-0.04409478232264519,
-0.0006591476267203689,
0.09186413139104843,
0.0014578927075490355,
0.001590735511854291,
0.015202612616121769,
0.04031214118003845,
-0.03168411925435066,
-0.015373731963336468,
0.0015929869841784239,
0.029846835881471634,
0.02368653565645218,
0.023002056404948235,
0.02761327661573887,
-0.025613879784941673,
-0.019381530582904816,
0.003782640676945448,
0.008146186359226704,
-0.005917130503803492,
0.014329003170132637,
-0.008745105005800724,
0.021759189665317535,
-0.0364394374191761,
0.011690160259604454,
0.04989483207464218,
-0.03607918694615364,
0.023722561076283455,
0.03804255649447441,
0.041573021560907364,
-0.0044558607041835785,
-0.031395915895700455,
0.004993986338376999,
-0.031756170094013214,
-0.02665860950946808,
-0.017193002626299858,
-0.0007672230713069439,
-0.04935445263981819,
-0.04683269187808037,
0.005331722088158131,
0.03615123778581619,
0.06563781946897507,
0.027126936241984367,
0.016454486176371574,
-0.023434359580278397,
-0.019201403483748436,
0.03316114842891693,
0.018363818526268005,
-0.048489850014448166,
0.020750485360622406,
0.014662235043942928,
0.01761629804968834,
0.03150399401783943,
-0.03768230602145195,
0.04279787465929985,
-0.03339531272649765,
0.013662537559866905,
-0.002530766651034355,
0.006263872608542442,
0.03343133628368378,
0.021146761253476143,
0.041104692965745926,
0.007524752989411354,
-0.015427770093083382,
-0.023542433977127075,
0.04629231616854668,
-0.04629231616854668,
0.032890960574150085,
0.024064799770712852,
0.024839339777827263,
0.02844185382127762,
0.025325680151581764,
-0.01677871309220791,
0.016508523374795914,
0.007389658596366644,
-0.020696448162198067,
0.004408577457070351,
-0.022767893970012665,
0.009564677253365517,
0.024244925007224083,
0.021867265924811363,
-0.029864847660064697,
-0.046040140092372894,
0.03278288617730141,
0.025487791746854782,
0.032710835337638855,
-0.04636436700820923,
-0.00928548164665699,
0.05591103062033653,
-0.026460470631718636,
-0.04387862980365753,
0.001088634948246181,
0.02863999269902706,
0.0029878357890993357,
-0.009861884638667107,
0.0017990058986470103,
0.017931517213582993,
-0.008551470004022121,
0.0035439739003777504,
0.025163566693663597,
-0.013734587468206882,
0.008299293927848339,
0.00010139108781004325,
0.010042009875178337,
0.055622827261686325,
0.004190174862742424,
-0.02094862423837185,
0.008614514023065567,
0.015851065516471863,
0.04560783877968788,
-0.02719898708164692,
0.002699634525924921,
-0.032710835337638855,
-0.0019971441943198442,
-0.05612717941403389,
0.009204425849020481,
0.03969971463084221,
0.02476728893816471,
0.040204066783189774,
-0.009190916083753109,
0.03481830656528473,
0.017985554412007332,
0.029666708782315254,
0.00803811103105545,
-0.00498497998341918,
0.015733983367681503,
-0.038654983043670654,
-0.04863395169377327,
-0.00534072844311595,
-0.05317311733961105,
-0.0032580243423581123,
0.026586558669805527,
0.045499760657548904,
0.03256673365831375,
0.012770915403962135,
-0.00013185766874812543,
0.003172464668750763,
0.03339531272649765,
0.009474613703787327,
0.004989482928067446,
0.030639389529824257,
-0.06585396826267242,
0.003240011865273118,
0.012284575961530209,
0.044202856719493866,
0.004705784842371941,
-0.0054848287254571915,
0.0035034457687288523,
0.022227516397833824,
-0.011492022313177586,
0.02471325173974037,
0.0030373702757060528,
-0.013914713636040688,
-0.026946811005473137,
-0.02820769138634205,
-0.012545757927000523,
0.04766127094626427,
-0.041753146797418594,
0.05043520778417587,
-0.011492022313177586,
-0.041753146797418594,
0.0051696086302399635,
0.060918524861335754,
-0.025397729128599167,
0.0471569187939167,
-0.014238939620554447,
0.00630890391767025,
-0.002265081275254488,
-0.0184628888964653,
-0.028297754004597664,
-0.005574891809374094,
0.009123369120061398,
0.00893423706293106,
-0.002043301472440362,
-0.027937501668930054,
-0.030567338690161705,
0.03725000470876694,
0.023614484816789627,
-0.06149492785334587,
0.04885010048747063,
0.043950680643320084,
0.011690160259604454,
-0.021164774894714355,
-0.024262936785817146,
-0.02601015754044056,
0.02392069809138775,
-0.03148597851395607,
0.0016672889469191432,
0.011987368576228619,
0.022461680695414543,
0.036997828632593155,
0.040095988661050797,
-0.00376462796702981,
0.05457809939980507,
-0.03172014281153679,
0.04359043017029762,
0.01869705133140087,
-0.01785046048462391,
0.034079790115356445,
-0.020732473582029343,
0.023722561076283455,
0.004998489283025265,
0.008150690235197544,
-0.006682665087282658,
0.027577251195907593,
0.02845986746251583,
0.012329607270658016,
-0.016400448977947235,
-0.01667964458465576,
0.01619330421090126,
0.00032675935653969646,
0.05266876518726349,
0.027126936241984367,
-0.0019464838551357388,
-0.06455706804990768,
0.0303511880338192,
0.025019465014338493,
-0.0036993324756622314,
0.008290287107229233,
0.0033368293661624193,
-0.0028639992233365774,
-0.04196929931640625,
-0.023362308740615845,
-0.010483318008482456,
-0.02357845939695835,
0.00446711853146553,
-0.04665256664156914,
0.0048904139548540115,
0.007042916491627693,
-0.017643315717577934,
-0.03553880751132965,
-0.010321204550564289,
0.024298962205648422,
0.037286028265953064,
0.019705755636096,
-0.003962766379117966,
0.008650538511574268,
-0.013401355594396591,
-0.026226308196783066,
-0.012113455682992935,
0.035863034427165985,
0.0030126029159873724,
-0.01416688971221447,
0.02030017040669918,
-0.006448501721024513,
-0.000013817262697557453,
-0.00224706856533885,
0.014356021769344807,
0.017337102442979813,
-0.0181476678699255,
-0.05483027547597885,
-0.03624130040407181,
0.011149783618748188,
0.018679039552807808,
0.02410082332789898,
0.006498035974800587,
-0.00896125566214323,
0.03615123778581619,
0.03117976523935795,
-0.03460215404629707,
-0.018769102171063423,
0.024208899587392807,
0.039915863424539566,
0.005070539657026529,
-0.0021029680501669645,
0.01196935586631298,
0.02332628332078457,
0.04928240180015564,
-0.008682060986757278,
-0.020228121429681778,
0.02327224612236023,
0.0008161947480402887,
0.030207086354494095,
-0.014067820273339748,
-0.03674565255641937,
0.01713896356523037,
0.03980778902769089,
-0.03481830656528473,
0.032224494963884354,
0.024605175480246544,
0.012779921293258667,
0.01157307904213667,
-0.021507013589143753,
0.011564072221517563,
0.005534363444894552,
-0.006403469946235418,
-0.002019659848883748,
0.022533729672431946,
-0.030963614583015442,
0.02500145323574543,
0.0008291412959806621,
-0.00512007437646389,
0.05093955993652344,
-0.002836980391293764,
0.024262936785817146,
-0.008119167760014534,
0.0006484526675194502,
-0.012122462503612041,
0.026226308196783066,
-0.005111068021506071,
0.0026073202025145292,
-0.015337706543505192,
0.0018834398360922933,
0.027289049699902534,
-0.02637040801346302,
0.05302901938557625,
0.05180416256189346,
0.04560783877968788,
0.004705784842371941,
-0.006763721816241741,
0.010609406046569347,
0.006939344108104706,
-0.0024362006224691868,
0.014500122517347336,
0.025848044082522392,
-0.07345527410507202,
0.033773574978113174,
-0.04153699427843094,
0.004194678273051977,
-0.004993986338376999,
0.004539168905466795,
0.009159393608570099,
-0.005980174522846937,
-0.028585955500602722,
0.0053362250328063965,
-0.00709695415571332,
-0.013320298865437508,
0.021398937329649925,
-0.009393556974828243,
-0.03672763705253601,
0.012509732507169247,
0.02536170370876789,
-0.027541225776076317,
-0.029072294011712074,
0.0648452639579773,
-0.016400448977947235,
0.02637040801346302,
-0.008655041456222534,
0.008582991547882557,
-0.05371349677443504,
-0.017958536744117737,
-0.00587660213932395,
0.036637574434280396,
-0.039663687348365784,
0.012644827365875244,
-0.04297800362110138,
-0.03652950003743172,
-0.021831240504980087,
0.012951040640473366,
-0.024677226319909096,
-0.024334987625479698,
0.007389658596366644,
0.04114072024822235,
0.0036385399289429188,
-0.005516350734978914,
0.004129382781684399,
0.041825197637081146,
-0.04222147539258003,
-0.014473102986812592,
0.007457205560058355,
-0.01566193252801895,
-0.02130887471139431,
-0.03674565255641937,
-0.029378509148955345,
0.02768532559275627,
-0.05147993564605713,
-0.038835108280181885,
-0.031107716262340546,
0.03292698413133621,
0.017400147393345833,
-0.014815342612564564,
-0.025631893426179886,
-0.002749169245362282,
0.031215790659189224,
-0.017607292160391808,
0.03995189070701599,
-0.05083148553967476,
0.027955515310168266,
-0.017472196370363235,
-0.023704547435045242,
0.03519656881690025,
0.0039762756787240505,
-0.005385759752243757,
0.01981383189558983,
-0.041645072400569916,
-0.027829427272081375,
-0.0037916467990726233,
-0.00996995996683836,
-0.005129080731421709,
-0.023236220702528954,
-0.015436775982379913,
-0.003161206841468811,
0.0024969931691884995,
-0.023830635473132133,
-0.009618714451789856,
-0.012743895873427391,
0.021633101627230644,
-0.03305307403206825,
0.05688370764255524,
0.02993689849972725,
-0.018498914316296577,
0.008767620660364628,
0.04243762418627739,
0.004505394957959652,
-0.015733983367681503,
-0.05209236592054367,
0.03611521050333977,
-0.02440703846514225,
0.007830966264009476,
-0.0043072570115327835,
-0.018201706930994987,
-0.07053723931312561,
-0.02112874947488308,
-0.024190887808799744,
0.020858561620116234,
0.018643014132976532,
-0.005619923118501902,
0.04528361186385155,
-0.011870286427438259,
0.008087646216154099,
0.0470128171145916,
0.021470988169312477,
0.009510639123618603,
0.002090584486722946,
0.01857096329331398,
-0.0046044643968343735,
0.020047994330525398,
-0.020318184047937393,
-0.008029105141758919,
-0.014446084387600422,
-0.012725884094834328,
-0.017454184591770172,
-0.009474613703787327,
0.012473708018660545,
-0.007335620932281017,
-0.018084624782204628,
0.0068357717245817184,
-0.0071374825201928616,
-0.004966967273503542,
0.02327224612236023,
0.010159092023968697,
-0.00820923037827015,
0.014247946441173553,
-0.018363818526268005,
-0.001984760630875826,
-0.016148272901773453,
-0.01898525282740593,
-0.008380349725484848,
0.010699468664824963,
-0.0066781616769731045,
0.04993085563182831,
-0.04070841893553734,
-0.03553880751132965,
-0.04132084548473358,
-0.013815644197165966,
0.047228969633579254,
0.02112874947488308,
-0.03323319926857948,
-0.06635832041501999,
0.03184623271226883,
-0.005381256341934204,
0.0017854963662102818,
0.004334275610744953,
0.09092747420072556,
0.02332628332078457,
0.0020185341127216816,
0.020426258444786072,
0.04240160062909126,
-0.03995189070701599,
0.039195362478494644,
0.012356625869870186,
0.023974737152457237,
-0.017787417396903038,
0.04114072024822235,
0.0170759204775095,
0.0034336468670517206,
0.03977176547050476,
-0.018534939736127853,
-0.04816562309861183,
0.002560037188231945,
0.02100266143679619,
-0.002010653493925929,
0.009240450337529182,
0.037466153502464294,
-0.001944232266396284,
0.011906311847269535,
-0.02649649605154991,
-0.011492022313177586,
0.0042734830640256405,
0.01945357955992222,
0.0006180564523674548,
-0.0006253740866668522,
-0.03321518748998642,
-0.03451209142804146,
-0.028351791203022003,
0.018715064972639084,
-0.04582398757338524,
0.008186714723706245,
-0.0151755940169096,
0.016985857859253883,
0.04643641784787178,
-0.0027334082406014204,
0.005102061666548252,
-0.009276475757360458,
-0.012005380354821682,
0.005845080129802227,
-0.011618110351264477,
-0.01975979469716549,
0.03328723832964897,
-0.0470128171145916,
-0.017057906836271286,
0.023002056404948235,
0.05882906913757324,
-0.002278590574860573,
-0.027487188577651978,
0.04305005073547363,
0.008492928929626942,
-0.011086739599704742,
0.018967241048812866,
-0.03998791426420212,
-0.05677563324570656,
-0.012509732507169247,
0.049498554319143295,
-0.028820117935538292,
0.05587500333786011,
0.003444904927164316,
-0.024479087442159653,
0.016706662252545357,
0.007952551357448101,
0.0024902382865548134,
-0.01595913991332054,
0.021326888352632523,
0.04088854417204857,
0.013968750834465027,
-0.011465003713965416,
-0.002710892353206873,
-0.02048029750585556,
0.015229631215333939,
-0.014887392520904541,
0.008542463183403015,
0.006142287980765104,
0.009483620524406433,
0.021326888352632523,
-0.0009681758820079267,
0.014689254574477673,
0.042941976338624954,
-0.02959465980529785,
-0.02471325173974037,
0.06826765835285187,
-0.0035619866102933884,
-0.006295394618064165,
0.0248213279992342,
0.010852576233446598,
0.028495892882347107,
-0.02112874947488308,
0.024082811549305916,
-0.05727998539805412,
0.015688952058553696,
-0.0377543568611145,
-0.020570360124111176,
0.0050570303574204445,
-0.010033003985881805,
-0.0031341880094259977,
0.007632828317582607,
0.0010199620155617595,
-0.020210107788443565
] |
Deep artificial neural networks show high predictive performance in many
fields, but they do not afford statistical inferences and their black-box
operations are too complicated for humans to comprehend. Because positing that
a relationship exists is often more important than prediction in scientific
experiments and research models, machine learning is far less frequently used
than inferential statistics. Additionally, statistics calls for improving the
test of theory by showing the magnitude of the phenomena being studied. This
article extends current XAI methods and develops a model agnostic hypothesis
testing framework for machine learning. First, Fisher's variable permutation
algorithm is tweaked to compute an effect size measure equivalent to Cohen's f2
for OLS regression models. Second, the Mann-Kendall test of monotonicity and
the Theil-Sen estimator is applied to Apley's accumulated local effect plots to
specify a variable's direction of influence and statistical significance. The
usefulness of this approach is demonstrated on an artificial data set and a
social survey with a Python sandbox implementation. | [
-0.04081476852297783,
0.0032840806525200605,
-0.0292518250644207,
-0.02893528714776039,
0.04584213346242905,
0.004620056599378586,
-0.013573889620602131,
0.01817299798130989,
-0.023200364783406258,
-0.0031397766433656216,
0.003758887527510524,
-0.019495010375976562,
0.02370310202240944,
-0.0019294846570119262,
0.019252952188253403,
-0.0034214023035019636,
0.04520905762910843,
-0.008378944359719753,
0.009589236229658127,
-0.029791802167892456,
-0.009989563375711441,
-0.032398585230112076,
-0.02158043533563614,
0.003521484090015292,
0.02442927658557892,
0.005441658664494753,
-0.022306611761450768,
-0.003584326012060046,
-0.07146308571100235,
0.029140105471014977,
0.035005368292331696,
0.025546468794345856,
0.015519666485488415,
-0.030573835596442223,
0.010827457532286644,
-0.040442369878292084,
0.021952833980321884,
-0.002534630708396435,
0.004910992458462715,
0.06211590766906738,
0.01752130314707756,
0.021803874522447586,
0.02915872633457184,
-0.013490100391209126,
-0.0022692973725497723,
-0.0135273402556777,
-0.04587937518954277,
-0.04654968902468681,
-0.03936241939663887,
-0.031579308211803436,
-0.007536394987255335,
-0.02150595746934414,
0.05187497287988663,
-0.0018328940495848656,
-0.006717120297253132,
0.030704176053404808,
0.03543362393975258,
-0.04848615825176239,
0.0315234512090683,
-0.032473064959049225,
0.012242568656802177,
0.0585036501288414,
-0.011255715042352676,
0.005008746404200792,
-0.00496685178950429,
-0.05563618987798691,
0.021450096741318703,
0.01303391344845295,
0.02346104383468628,
-0.001283607678487897,
-0.02640298381447792,
0.02744569629430771,
-0.00381009210832417,
0.06960109621286392,
-0.018787454813718796,
0.006023529917001724,
0.02874908782541752,
0.015668625012040138,
-0.04476218298077583,
0.012735995464026928,
0.046065572649240494,
0.010976416990160942,
0.010911247693002224,
-0.017456132918596268,
0.08833269029855728,
0.035470861941576004,
0.014523503370583057,
-0.050646062940359116,
0.004154559690505266,
-0.014951759949326515,
-0.029307683929800987,
0.012568416073918343,
0.013462170027196407,
-0.006521611474454403,
-0.021226659417152405,
0.020500482991337776,
0.04874683544039726,
0.012177398428320885,
-0.006703155115246773,
0.03642047569155693,
0.04271399602293968,
0.02266038954257965,
-0.003160723950713873,
0.011246404610574245,
0.015519666485488415,
-0.07663940638303757,
-0.03798454627394676,
-0.010129212401807308,
-0.009561305865645409,
0.18843314051628113,
-0.02012808620929718,
0.02567680925130844,
-0.01189810037612915,
-0.03383231535553932,
-0.00912373885512352,
0.0325847826898098,
-0.052433568984270096,
-0.0409264862537384,
0.025229932740330696,
-0.010734358802437782,
0.04733172431588173,
0.0818529725074768,
0.0356198213994503,
0.02744569629430771,
-0.02331208437681198,
0.07317611575126648,
-0.01141398400068283,
-0.015528976917266846,
0.04189471900463104,
-0.0281160119920969,
0.022585909813642502,
0.07373470813035965,
0.062748983502388,
-0.03612256050109863,
-0.009831294417381287,
-0.04822547733783722,
0.014281445182859898,
0.011460533365607262,
0.015798965469002724,
-0.028041532263159752,
-0.0712396427989006,
-0.030164198949933052,
-0.011209165677428246,
0.0010107101406902075,
0.012289118021726608,
-0.023274844512343407,
-0.024634094908833504,
0.06438753008842468,
-0.05384868010878563,
-0.003814747091382742,
-0.03014557994902134,
0.025602329522371292,
-0.0217480156570673,
-0.03420471027493477,
0.03089037351310253,
0.01055746991187334,
-0.008043786510825157,
0.005855950992554426,
-0.023367945104837418,
-0.017781982198357582,
0.036215659230947495,
0.012531176209449768,
0.014300065115094185,
0.07447950541973114,
0.053178366273641586,
0.057647135108709335,
-0.0016350578516721725,
0.005651132203638554,
-0.05913672596216202,
0.06576540321111679,
-0.002165724290534854,
-0.029531123116612434,
-0.07555945962667465,
0.03267788141965866,
0.014486263506114483,
-0.001139885513111949,
-0.019271571189165115,
0.003640185808762908,
-0.0282649714499712,
-0.0017956543015316129,
-0.06811150908470154,
-0.013629749417304993,
0.026421604678034782,
0.008094990625977516,
0.0135273402556777,
-0.01104158628731966,
0.12475316971540451,
-0.02698020078241825,
0.032156527042388916,
0.028413930907845497,
0.005567342974245548,
-0.03805902600288391,
0.025378890335559845,
-0.0038007821422070265,
0.002310028299689293,
-0.00853255856782198,
-0.049491629004478455,
-0.024634094908833504,
-0.003940431401133537,
0.012326357886195183,
0.001394163235090673,
-0.08490663766860962,
0.014737632125616074,
0.030760034918785095,
0.007848277688026428,
-0.03420471027493477,
0.04539525881409645,
-0.0037356126122176647,
0.0038799166213721037,
-0.01877814531326294,
-0.0336461141705513,
0.00484582269564271,
-0.0585036501288414,
-0.01829402893781662,
-0.04267675429582596,
-0.010036112740635872,
0.017027877271175385,
0.02958698198199272,
-0.05358800292015076,
-0.027594655752182007,
-0.028544269502162933,
-0.004594454541802406,
0.026179544627666473,
-0.02167353592813015,
0.022269371896982193,
0.015919994562864304,
0.024485137313604355,
-0.06837218254804611,
0.030704176053404808,
0.012307737953960896,
0.0018584963399916887,
-0.0178843904286623,
0.013778707943856716,
0.03359025716781616,
0.025881627574563026,
0.026105066761374474,
0.021468717604875565,
-0.01560345571488142,
-0.04204367846250534,
-0.06572816520929337,
-0.0204632431268692,
-0.026775380596518517,
0.0011777071049436927,
-0.0113674346357584,
0.05131637677550316,
-0.02975456230342388,
0.02396378107368946,
0.017679572105407715,
0.03992101550102234,
0.011097446084022522,
0.01315494254231453,
-0.0586526095867157,
0.041336122900247574,
-0.014597983099520206,
-0.031151052564382553,
0.007573634386062622,
0.06129663065075874,
-0.029512504115700722,
-0.002732466673478484,
-0.04431530460715294,
0.04960335046052933,
0.04520905762910843,
-0.005516138393431902,
0.049975745379924774,
-0.04978954792022705,
-0.008830476552248001,
0.07369747012853622,
0.005897845607250929,
0.02029566466808319,
0.03465158864855766,
-0.029624221846461296,
-0.0315234512090683,
-0.011302264407277107,
-0.0005929266917519271,
-0.02582576870918274,
-0.03143034875392914,
-0.0011614147806540132,
0.003703027730807662,
-0.003726302646100521,
0.027650516480207443,
-0.03872934356331825,
-0.010939177125692368,
0.02681262046098709,
0.039250697940588,
0.019997747614979744,
-0.0206122025847435,
-0.025602329522371292,
-0.05180049315094948,
-0.058689847588539124,
-0.002848841017112136,
0.0069219390861690044,
-0.002131975721567869,
-0.04129888489842415,
0.0035959635861217976,
-0.006684535648673773,
-0.0029675427358597517,
-0.05571066960692406,
0.021785255521535873,
0.05857812985777855,
0.005963015370070934,
-0.03314337879419327,
-0.02599334716796875,
0.032379962503910065,
0.05727473646402359,
0.017800601199269295,
-0.00006938813021406531,
0.04252779483795166,
0.13935114443302155,
-0.024336177855730057,
0.00580474641174078,
0.035247426480054855,
-0.008351013995707035,
-0.0034516595769673586,
-0.013434240594506264,
-0.0204632431268692,
0.052284613251686096,
0.025360271334648132,
-0.04878407344222069,
0.0014860988594591618,
-0.038580384105443954,
0.009077189490199089,
-0.010976416990160942,
-0.10665465146303177,
0.026254024356603622,
-0.034186091274023056,
0.01783784106373787,
-0.04978954792022705,
0.035172946751117706,
-0.04923095181584358,
-0.029270444065332413,
-0.01487728115171194,
-0.02003498561680317,
-0.04416634514927864,
-0.01617136225104332,
0.0030606421642005444,
0.010045423172414303,
-0.022287990897893906,
-0.016711339354515076,
-0.01658099889755249,
0.033701974898576736,
0.03204480558633804,
-0.04010721296072006,
-0.052284613251686096,
-0.027520176023244858,
0.0034330396447330713,
-0.06312137842178345,
-0.07641597092151642,
-0.012000510469079018,
0.06323309987783432,
-0.007727248594164848,
0.0010636603692546487,
0.019495010375976562,
0.01938329078257084,
-0.03316199779510498,
0.0073781260289251804,
-0.015380017459392548,
0.007787763141095638,
-0.0080717159435153,
0.04148508235812187,
-0.008015856146812439,
0.050310906022787094,
-0.042900193482637405,
-0.050310906022787094,
0.0012009820202365518,
-0.05485415458679199,
-0.006577471271157265,
0.020165326073765755,
0.020630821585655212,
0.02509959228336811,
0.0006918447907082736,
-0.03277098014950752,
0.05418383702635765,
0.008290499448776245,
0.010166452266275883,
0.025788528844714165,
-0.04479942098259926,
-0.010929866693913937,
0.023237604647874832,
-0.012028439901769161,
0.03649495542049408,
-0.0237962007522583,
-0.014151105657219887,
0.00330037297680974,
0.034260571002960205,
-0.034092992544174194,
-0.018042659386992455,
0.00598629005253315,
0.010911247693002224,
0.03103933297097683,
0.06781359016895294,
0.01047367975115776,
-0.044613223522901535,
-0.012531176209449768,
-0.0995790958404541,
0.07634148746728897,
0.03422333300113678,
-0.0009746341384015977,
-0.04211815819144249,
0.049975745379924774,
-0.02655194327235222,
-0.03690459579229355,
-0.007420020643621683,
-0.017949560657143593,
0.008374289609491825,
-0.007857587188482285,
0.03722113370895386,
-0.02005360648036003,
0.005022711586207151,
0.00814619567245245,
0.03781696781516075,
-0.0007866897503845394,
0.00635868776589632,
0.0012486954219639301,
-0.03584326058626175,
0.030406257137656212,
0.02420583926141262,
-0.038096267729997635,
-0.04610281437635422,
0.01873159594833851,
-0.02396378107368946,
0.018377818167209625,
0.009216838516294956,
0.058615367859601974,
-0.04342155158519745,
-0.04234159737825394,
0.013173562474548817,
-0.0013185199350118637,
-0.012652205303311348,
-0.016962707042694092,
-0.07730972766876221,
-0.015035550110042095,
0.010222312062978745,
0.0021703792735934258,
-0.0009228475973941386,
-0.017409583553671837,
-0.032137904316186905,
0.004166197031736374,
-0.021878354251384735,
-0.013229422271251678,
-0.015268297865986824,
0.013946287333965302,
-0.008504628203809261,
0.033348198980093,
0.032473064959049225,
-0.0475924015045166,
-0.06174350902438164,
-0.024671334773302078,
-0.05235908925533295,
-0.02982904203236103,
-0.03031315840780735,
-0.08743893355131149,
0.03973481431603432,
-0.05206117406487465,
-0.020351523533463478,
0.010771598666906357,
-0.0389527790248394,
0.00672177504748106,
-0.026384364813566208,
0.04602833464741707,
-0.044278066605329514,
-0.01153501309454441,
0.03169102966785431,
0.05083226040005684,
-0.01861056685447693,
0.01996050775051117,
0.0036588055081665516,
0.0014570052735507488,
-0.010045423172414303,
0.0012649878626689315,
0.007657424081116915,
-0.015668625012040138,
0.010278171859681606,
-0.029512504115700722,
-0.01438385434448719,
0.023274844512343407,
0.05075778067111969,
0.030406257137656212,
-0.03966033458709717,
0.07164928317070007,
-0.023181745782494545,
0.030033860355615616,
0.03846866264939308,
0.0001260478311451152,
0.006251623388379812,
-0.005818711128085852,
-0.015463806688785553,
0.043198112398386,
0.02331208437681198,
0.03671839460730553,
-0.03105795383453369,
-0.05139085650444031,
-0.005488208495080471,
0.014467643573880196,
0.011823621578514576,
0.011143995448946953,
-0.002045858884230256,
-0.04699656739830971,
-0.0188712440431118,
0.040852006524801254,
0.07213339954614639,
0.0457676537334919,
-0.020165326073765755,
-0.02884218841791153,
0.03578739985823631,
0.002303045941516757,
0.031318631023168564,
-0.019532250240445137,
-0.017046496272087097,
0.003053659573197365,
0.02437341772019863,
-0.005059951450675726,
-0.028804948553442955,
0.037351470440626144,
-0.02372172102332115,
0.025471990928053856,
0.0604773573577404,
0.016208602115511894,
-0.003719320287927985,
0.02794843353331089,
0.03643909841775894,
0.030611075460910797,
0.009961633943021297,
-0.0054509686306118965,
0.03567568212747574,
-0.008621002547442913,
0.049007512629032135,
-0.023907920345664024,
-0.02867460809648037,
0.004350068513303995,
-0.0359177403151989,
-0.033534396439790726,
0.03839418292045593,
-0.02941940352320671,
-0.012726685032248497,
0.020519103854894638,
-0.026924340054392815,
0.03420471027493477,
0.026756761595606804,
0.01445833407342434,
0.008351013995707035,
-0.04465046152472496,
0.007555014453828335,
-0.0016048005782067776,
0.021952833980321884,
0.011451223865151405,
0.026011966168880463,
0.029047006741166115,
-0.004943577107042074,
-0.004526957403868437,
-0.013164252042770386,
0.003665788099169731,
0.041112687438726425,
0.038319703191518784,
0.005446313880383968,
0.012996673583984375,
-0.008290499448776245,
-0.014160415157675743,
-0.026905721053481102,
-0.022436950355768204,
0.007359506096690893,
-0.012047059834003448,
-0.00871410220861435,
0.0020865898113697767,
-0.0025695429649204016,
-0.03746319189667702,
-0.027985673397779465,
0.014067316427826881,
0.06256278604269028,
-0.028469789773225784,
0.03332957625389099,
-0.03656943514943123,
0.014914521016180515,
-0.04025617241859436,
0.019290192052721977,
-0.014616603031754494,
0.06241382285952568,
0.03677425533533096,
-0.0478903204202652,
-0.020314283668994904,
-0.012484626844525337,
0.036960452795028687,
-0.011004346422851086,
-0.007271061651408672,
-0.013313211500644684,
0.005432348698377609,
-0.006442476995289326,
-0.00465729646384716,
-0.0008064733701758087,
-0.007918102666735649,
0.004087062552571297,
0.0009286663262173533,
0.05589686706662178,
-0.008816511370241642,
0.024876154959201813,
-0.008783926256000996,
0.029214585199952126,
0.007368816062808037,
-0.031225532293319702,
0.02135699801146984,
-0.03511708602309227,
0.0369790717959404,
-0.017363034188747406,
0.038319703191518784,
0.04491114243865013,
-0.01511002890765667,
0.014719012193381786,
-0.014411783777177334,
0.0044641150161623955,
0.016692718490958214,
-0.0025648879818618298,
-0.030536595731973648,
-0.021785255521535873,
0.06490888446569443,
-0.032231006771326065,
0.014514192938804626,
-0.03359025716781616,
0.0413733646273613,
0.0172792449593544,
-0.02698020078241825,
0.04155956208705902,
0.04014445096254349,
-0.01592930406332016,
0.04424082487821579,
0.027166398242115974,
0.01824747771024704,
0.03048073686659336,
-0.03256616368889809,
-0.034092992544174194,
0.014616603031754494,
0.007261751685291529,
-0.05340180546045303,
0.019513629376888275,
-0.020146705210208893,
-0.01964396983385086,
0.015892064198851585,
0.025136832147836685,
0.006130594294518232,
0.061408352106809616,
0.01209360919892788,
-0.022436950355768204,
0.03861762210726738,
0.002247186377644539,
0.008555833250284195,
0.001023511285893619,
0.017828531563282013,
0.008676862344145775,
-0.005809401161968708,
-0.021785255521535873,
0.06766463071107864,
0.046661410480737686,
0.01834057830274105,
0.054705195128917694,
-0.012503246776759624,
0.02981042116880417,
0.03722113370895386,
-0.021692154929041862,
0.04573041573166847,
0.01222394872456789,
0.02442927658557892,
0.006465751677751541,
-0.004708501044660807,
-0.006391272414475679,
0.03055521659553051,
0.031653787940740585,
0.04662416875362396,
0.004808582831174135,
0.028209112584590912,
-0.02355414256453514,
0.007615529466420412,
0.035228803753852844,
0.0029908176511526108,
-0.011376744136214256,
-0.04409186542034149,
0.06360549479722977,
0.033944033086299896,
-0.015137959271669388,
0.01087400782853365,
0.003353905165567994,
0.007634148932993412,
-0.04088924825191498,
-0.04766688123345375,
0.012121539562940598,
0.013862497173249722,
0.030517976731061935,
-0.049677830189466476,
-0.006219038739800453,
0.006586781237274408,
0.07649044692516327,
-0.013108392246067524,
-0.02519269287586212,
-0.023442422971129417,
-0.022585909813642502,
0.009156323969364166,
0.03204480558633804,
0.019848788157105446,
0.01128364447504282,
-0.0056464774534106255,
-0.024838915094733238,
-0.013490100391209126,
0.008951505646109581,
-0.005143740680068731,
0.02744569629430771,
-0.034930888563394547,
-0.027836713939905167,
0.009067879989743233,
0.0018072917591780424,
0.0239451602101326,
-0.016189981251955032,
-0.050310906022787094,
0.005474243313074112,
0.04185748100280762,
0.008346359245479107,
-0.0004439676704350859,
0.032640643417835236,
0.006637985818088055,
0.04897027462720871,
0.03820798546075821,
-0.011665352620184422,
-0.036290138959884644,
0.04059132933616638,
0.02435479685664177,
0.011870170943439007,
0.004645659122616053,
-0.02461547590792179,
-0.019588109105825424,
0.05086950212717056,
0.02874908782541752,
0.032137904316186905,
-0.04096372798085213,
-0.006791599560528994,
0.02476443536579609,
0.003998618572950363,
0.011907410807907581,
0.01327597163617611,
-0.001022929442115128,
-0.02534165047109127,
0.007769143208861351,
0.03062969632446766,
-0.029624221846461296,
-0.04528353735804558,
-0.010175761766731739,
0.002415928989648819,
-0.0018550051609054208,
-0.03161654993891716,
-0.02290244773030281,
0.02876770868897438,
-0.02020256593823433,
0.007978617213666439,
0.00973819475620985,
0.02809739299118519,
0.030592456459999084,
-0.01042713038623333,
0.0694148987531662,
-0.032473064959049225,
-0.028562890365719795,
-0.012363597750663757,
-0.0016304028686136007,
-0.02787395380437374,
-0.012177398428320885,
0.034335050731897354,
-0.035657063126564026,
0.05068330094218254,
0.04524629935622215,
0.036457717418670654,
0.0733623132109642,
0.013127012178301811,
-0.04829995706677437,
-0.007838968187570572,
0.028171872720122337,
-0.010836767964065075,
0.02884218841791153,
0.04565593600273132,
0.03563844412565231,
-0.024876154959201813,
-0.031560689210891724,
-0.010157141834497452,
0.019252952188253403,
0.007387435529381037,
-0.00973819475620985,
0.01189810037612915,
0.042900193482637405,
-0.0359177403151989,
-0.030164198949933052,
0.0022367124911397696,
-0.03973481431603432,
-0.017130285501480103,
0.003388817422091961,
-0.024913394823670387,
0.016860296949744225,
-0.015687245875597,
-0.03478192910552025,
-0.0015012274961918592,
0.03332957625389099,
-0.061966948211193085,
0.024485137313604355,
-0.010957797057926655,
0.007163997273892164,
-0.016813747584819794,
0.030983474105596542,
-0.005013401620090008,
0.03811488673090935,
-0.026365743950009346,
0.01221463829278946,
-0.0006720611709170043,
-0.030704176053404808,
-0.02029566466808319,
0.015473117120563984,
-0.01602240279316902,
0.01283840462565422,
0.0695638582110405,
0.04826271906495094,
0.0391017384827137,
0.0045688520185649395,
0.002844186034053564,
0.04178300127387047,
-0.008537213318049908,
0.005762851797044277,
0.008742031641304493,
-0.008779271505773067,
0.005311319604516029,
-0.031318631023168564,
-0.07190996408462524,
-0.014346614480018616,
-0.026142306625843048,
-0.011013656854629517,
-0.02908424660563469,
0.0008634967380203307,
-0.005851295776665211,
0.009351832792162895,
-0.027799474075436592,
0.016227221116423607,
0.0606263168156147,
-0.02485753409564495,
-0.004180162213742733,
-0.061408352106809616,
0.03798454627394676,
-0.017409583553671837,
-0.024652715772390366,
0.0021808529272675514,
0.00444782292470336,
0.0007535230834037066,
-0.00381009210832417,
-0.011255715042352676,
0.013434240594506264,
0.00290237320587039,
-0.054965872317552567,
-0.012605655938386917,
0.00013361214951146394,
0.02681262046098709,
0.051204659044742584,
0.000024729522920097224,
0.017893699929118156,
0.04047961160540581,
0.01791232079267502,
-0.025378890335559845,
-0.014151105657219887,
0.0282649714499712,
-0.018647804856300354,
0.011153305880725384,
0.007592254318296909,
0.010213001631200314,
-0.006200418807566166,
0.00957061629742384,
-0.02843254990875721,
0.026254024356603622,
-0.039474137127399445,
0.022753488272428513,
-0.008690827526152134,
0.009794054552912712,
-0.057647135108709335,
0.0011206837370991707,
-0.015566215850412846,
-0.0032608057372272015,
0.013220111839473248,
0.04260227456688881,
0.047294486314058304,
-0.007932066917419434,
0.00017048824520315975,
-0.011432603932917118,
-0.021859733387827873,
0.0001531775778857991,
0.007461915258318186,
0.04476218298077583,
-0.013927667401731014,
0.031076572835445404,
0.024783054366707802,
-0.024224458262324333,
-0.027017440646886826,
-0.012326357886195183,
-0.0017409584252163768,
-0.009333212859928608,
0.03150482848286629,
0.009775434620678425,
-0.0092447679489851,
0.02737121842801571,
0.004249986726790667,
-0.010091972537338734,
0.013499409891664982,
0.009980253875255585,
-0.03714665398001671,
0.01732579432427883,
-0.021394237875938416,
0.024019639939069748,
0.004487390164285898,
-0.0009606692474335432,
0.018591945990920067,
0.011507083661854267,
0.022045932710170746,
0.049566108733415604,
0.0008128739427775145,
-0.014653841964900494,
0.029642842710018158,
-0.023274844512343407,
-0.03234272450208664,
0.04245331883430481,
0.002674279734492302,
-0.056827861815690994,
-0.04807651787996292,
-0.013210802339017391,
-0.022474190220236778,
0.04163404181599617,
0.0409264862537384,
0.03062969632446766,
0.019346050918102264,
-0.0080717159435153,
0.029438024386763573,
-0.017335103824734688,
0.05150257796049118,
-0.01571517437696457,
-0.0012929176446050406,
-0.04316087067127228,
0.03936241939663887,
0.04777860268950462,
0.02616092562675476,
0.03234272450208664,
-0.02307002618908882,
-0.017781982198357582,
0.012186708860099316,
-0.04401738569140434,
-0.02241833135485649,
-0.034186091274023056,
-0.01834057830274105,
0.015919994562864304,
0.020817020907998085,
-0.01612481288611889,
-0.010147832334041595,
0.03468883037567139,
0.03684873506426811,
-0.012270498089492321,
0.03299441933631897,
-0.02435479685664177,
0.04882131516933441,
0.002017928985878825,
0.02020256593823433,
-0.012084299698472023,
0.01641342043876648,
-0.005409074015915394,
0.014672461897134781,
-0.0008501136908307672,
-0.025974726304411888,
0.0049947816878557205,
-0.0006866079056635499,
0.008015856146812439,
0.012009819969534874,
-0.016981326043605804,
-0.009277353063225746,
-0.03383231535553932,
-0.08021442592144012,
-0.06297241896390915,
-0.032547544687986374,
-0.007103482726961374,
0.030033860355615616,
-0.007708628661930561,
0.01906675286591053,
0.01882469467818737,
-0.01047367975115776,
0.005409074015915394,
-0.011832931078970432,
0.005483553279191256,
0.021524576470255852,
0.023367945104837418,
-0.015724485740065575,
-0.022120412439107895,
0.013005983084440231,
-0.03366473689675331,
-0.02908424660563469,
0.022101793438196182,
0.014476953074336052,
-0.022269371896982193,
-0.00364484079182148,
0.04580489546060562,
-0.02664504200220108,
0.007517775055021048,
-0.005800091195851564,
-0.050720542669296265,
-0.025043733417987823,
-0.011302264407277107,
0.012773234397172928,
0.02411273866891861,
0.010734358802437782,
-0.007852932438254356,
-0.02932630479335785,
0.011544322595000267,
0.0032654607202857733,
0.020183945074677467,
0.03347853571176529,
0.039250697940588,
-0.030033860355615616,
-0.0005914720240980387,
-0.0022634787019342184,
0.022623149678111076,
-0.026700902730226517,
-0.04952887073159218,
-0.027482936158776283,
-0.019681209698319435,
-0.011432603932917118,
-0.06379169225692749,
-0.03854314237833023,
0.03262202441692352,
-0.0249320138245821,
-0.002057496225461364,
-0.05124189704656601,
-0.006656605750322342,
0.025527849793434143
] |
We introduce a novel approach to user authentication called Motion ID. The
method employs motion sensing provided by inertial measurement units (IMUs),
using it to verify the persons identity via short time series of IMU data
captured by the mobile device. The paper presents two labeled datasets with
unlock events: the first features IMU measurements, provided by six users who
continuously collected data on six different smartphones for a period of 12
weeks. The second one contains 50 hours of IMU data for one specific motion
pattern, provided by 101 users. Moreover, we present a two-stage user
authentication process that employs motion pattern identification and user
verification and is based on data preprocessing and machine learning. The
Results section details the assessment of the method proposed, comparing it
with existing biometric authentication methods and the Android biometric
standard. The method has demonstrated high accuracy, indicating that it could
be successfully used in combination with existing methods. Furthermore, the
method exhibits significant promise as a standalone solution. We provide the
datasets to the scholarly community and share our project code. | [
-0.0023158567491918802,
-0.0010800687596201897,
-0.021845541894435883,
-0.06382247060537338,
0.0079429280012846,
-0.009497628547251225,
-0.026529578492045403,
0.04688021540641785,
-0.004512120969593525,
-0.009238512255251408,
0.010813144966959953,
-0.04883355647325516,
0.04117964580655098,
-0.024715760722756386,
0.00941291730850935,
0.017091745510697365,
0.000023241098460857756,
-0.06087252497673035,
-0.026928218081593513,
-0.03898711875081062,
0.004195699468255043,
-0.01626456528902054,
-0.014610202983021736,
-0.0225431639701128,
0.044926874339580536,
-0.009238512255251408,
-0.00047899241326376796,
-0.002337034558877349,
-0.010344741865992546,
0.01846705749630928,
-0.005929789040237665,
-0.01226818561553955,
-0.023440107703208923,
-0.004987999331206083,
-0.029001154005527496,
-0.03525982052087784,
0.014261391945183277,
0.04325257986783981,
-0.03498077392578125,
-0.007977808825671673,
-0.010265013203024864,
0.008680414408445358,
-0.003179164370521903,
-0.019344069063663483,
-0.0519828237593174,
-0.06633391231298447,
-0.04971056804060936,
-0.02985823154449463,
-0.01378302276134491,
0.0435316301882267,
0.03846888244152069,
-0.015098539181053638,
-0.030834903940558434,
-0.010045760311186314,
-0.009985963813960552,
0.009816541336476803,
0.048315323889255524,
0.029738640412688255,
0.07259257882833481,
-0.04424918442964554,
-0.02170601859688759,
0.015786195173859596,
0.04397013410925865,
0.0052471160888671875,
0.02635018900036812,
-0.028921425342559814,
0.04592347517609596,
-0.06414138525724411,
0.010140437632799149,
0.023559700697660446,
-0.031293340027332306,
0.057324618101119995,
-0.0015833533834666014,
-0.03105415590107441,
-0.014919150620698929,
-0.0029673860408365726,
0.04145869240164757,
0.015218131244182587,
0.019403865560889244,
-0.044926874339580536,
-0.007738623768091202,
0.031213613227009773,
-0.05824149027466774,
0.022622892633080482,
0.07629994302988052,
-0.024197526276111603,
0.0053019290789961815,
-0.08865781873464584,
0.02637012116611004,
-0.01634429208934307,
-0.034801382571458817,
-0.0023121193516999483,
-0.011431039310991764,
0.012288117781281471,
-0.03101429156959057,
0.017161507159471512,
0.0267687626183033,
-0.02951938658952713,
-0.011062296107411385,
-0.053816575556993484,
0.009183698333799839,
-0.009427866898477077,
-0.0025263892021030188,
-0.022303979843854904,
0.020091520622372627,
-0.007922995835542679,
0.008137265220284462,
0.07733640819787979,
0.03854861110448837,
0.08507005125284195,
-0.010843043215572834,
-0.05433480814099312,
0.019523456692695618,
-0.005172370932996273,
-0.03653547540307045,
0.004494680557399988,
-0.028502851724624634,
-0.061908990144729614,
-0.004395020194351673,
-0.03565846383571625,
0.03771146759390831,
0.07047978043556213,
-0.02066955156624317,
0.08586733043193817,
-0.029300134629011154,
0.08522950857877731,
0.004845983348786831,
0.034402742981910706,
-0.0030545888002961874,
-0.017221303656697273,
-0.0020330706611275673,
0.05636787787079811,
-0.0032838075421750546,
0.00564575707539916,
0.026130937039852142,
0.046043068170547485,
0.0442093200981617,
0.0575239360332489,
-0.0034482472110539675,
0.02172595076262951,
0.008535906672477722,
-0.03069537878036499,
-0.1093074381351471,
-0.0005144964088685811,
-0.010962635278701782,
0.025911683216691017,
-0.03962494432926178,
0.015497179701924324,
-0.049152471125125885,
0.01379298884421587,
-0.056487470865249634,
0.01435108669102192,
0.00321404542773962,
0.030416330322623253,
0.04321271553635597,
0.0006269257282838225,
0.01183964591473341,
-0.06545689702033997,
-0.01220838911831379,
-0.08770108222961426,
0.04201679304242134,
-0.021147919818758965,
0.06605485826730728,
0.0022573063615709543,
0.02140703797340393,
-0.04560456424951553,
0.010424469597637653,
0.0011772376019507647,
0.012955841608345509,
0.03693411499261856,
-0.03685438632965088,
-0.047238994389772415,
0.011520733125507832,
-0.06629404425621033,
0.04269448295235634,
0.0763796716928482,
0.05369698256254196,
0.00034725392470136285,
-0.03699390962719917,
-0.05557059496641159,
-0.0044099693186581135,
0.04389040544629097,
0.015337723307311535,
0.020848939195275307,
0.04580388218164444,
0.023998204618692398,
0.07701749354600906,
-0.009672034531831741,
0.054135486483573914,
-0.04931192845106125,
0.03035653382539749,
0.010434435680508614,
0.054135486483573914,
0.03378484770655632,
0.001542243524454534,
0.0009586077067069709,
0.02684849128127098,
-0.007434660103172064,
-0.02951938658952713,
0.0245363712310791,
-0.06844671070575714,
-0.03256899490952492,
0.01998189464211464,
-0.010972601361572742,
-0.046800486743450165,
-0.010364673100411892,
-0.03149266168475151,
-0.027007946744561195,
-0.0059995511546730995,
-0.029379863291978836,
-0.03922630101442337,
0.008959462866187096,
-0.026589373126626015,
0.02250330150127411,
-0.011540665291249752,
-0.00007750925578875467,
0.021566493436694145,
0.006941341329365969,
0.0360969677567482,
-0.010892873629927635,
-0.001984486123546958,
0.00023669326037634164,
0.022642824798822403,
-0.015915753319859505,
-0.025831954553723335,
0.020868871361017227,
0.015875888988375664,
0.06143062189221382,
-0.03840908780694008,
0.02648971416056156,
0.0404222272336483,
-0.019533423706889153,
-0.026728898286819458,
-0.009153801016509533,
0.003293773625046015,
0.02674883045256138,
0.021108055487275124,
-0.032469332218170166,
0.006941341329365969,
0.018148144707083702,
-0.054932769387960434,
-0.050707172602415085,
-0.007708725985139608,
-0.019553355872631073,
0.02407793328166008,
-0.005775315687060356,
-0.05700570344924927,
0.07478510588407516,
0.015377587638795376,
0.020201146602630615,
-0.010150403715670109,
0.02290194109082222,
-0.05600910261273384,
0.022702621296048164,
0.0112715819850564,
0.05632801353931427,
0.016643274575471878,
-0.05006934702396393,
0.006044398527592421,
-0.016015414148569107,
0.06601499766111374,
0.009706915356218815,
-0.05289969965815544,
0.006851647049188614,
0.04054182022809982,
0.06900480389595032,
0.04261475428938866,
-0.0007748589850962162,
0.0606333389878273,
-0.10667640715837479,
-0.004327749367803335,
-0.006861613132059574,
0.007409744895994663,
-0.033645324409008026,
0.03219028562307358,
0.00002547956319176592,
-0.008725261315703392,
-0.018706241622567177,
0.02407793328166008,
0.017430590465664864,
-0.0035628564655780792,
0.0031517576426267624,
0.01714157499372959,
-0.026549510657787323,
0.03687432035803795,
-0.05469358339905739,
-0.03147273138165474,
-0.008964446373283863,
-0.04153842106461525,
0.012587098404765129,
-0.005924805998802185,
0.011949272826313972,
-0.06593526899814606,
0.019633082672953606,
0.001540997764095664,
-0.009343154728412628,
-0.03061565011739731,
-0.04297352954745293,
-0.048713963478803635,
-0.028084278106689453,
-0.04540524259209633,
0.039106711745262146,
-0.03258892521262169,
0.028901493176817894,
0.040242839604616165,
0.02838325873017311,
0.08467140793800354,
-0.013862750492990017,
-0.014660033397376537,
-0.04393026977777481,
-0.0006350231124088168,
0.0014824472600594163,
-0.00862560048699379,
-0.03691418468952179,
0.002753116423264146,
0.021426968276500702,
-0.019324136897921562,
0.04389040544629097,
0.016394123435020447,
-0.02258302830159664,
0.059995513409376144,
0.030575787648558617,
-0.08100391179323196,
0.028522783890366554,
0.009597289375960827,
-0.05365711823105812,
-0.02987816371023655,
0.007275203708559275,
-0.021207716315984726,
-0.02605120837688446,
0.0016954712336882949,
-0.04791668429970741,
-0.043372172862291336,
-0.009816541336476803,
-0.00698618870228529,
0.0042430381290614605,
0.005610876251012087,
0.05397602915763855,
-0.023778952658176422,
0.027007946744561195,
-0.0051075913943350315,
-0.004312800243496895,
-0.030037621036171913,
0.0019483593059703708,
-0.03613683208823204,
-0.005331827327609062,
0.03191123530268669,
0.028423123061656952,
-0.025393450632691383,
-0.01939389854669571,
0.0011996611719951034,
-0.06980209052562714,
0.01128154806792736,
-0.03689425066113472,
0.016942255198955536,
-0.00698120566084981,
-0.0158858560025692,
-0.03376491740345955,
-0.01634429208934307,
0.008207027800381184,
-0.012666827067732811,
-0.01279638521373272,
0.030416330322623253,
-0.006089245434850454,
0.012766486965119839,
-0.0022336370311677456,
-0.05393616482615471,
0.010424469597637653,
0.012198423035442829,
0.05712529644370079,
0.0009050403023138642,
-0.005062744487076998,
0.003271350171416998,
-0.015576908364892006,
-0.0817214623093605,
0.021068191155791283,
0.03490104526281357,
-0.008660482242703438,
-0.013264789246022701,
0.05676651746034622,
-0.024636032059788704,
-0.019383933395147324,
0.004317783284932375,
-0.011500800959765911,
-0.024735691025853157,
-0.021606357768177986,
0.07586143910884857,
0.05162404850125313,
0.0038244647439569235,
0.04739844799041748,
-0.010663654655218124,
0.0036650083493441343,
-0.031273409724235535,
-0.010942703112959862,
0.0398840606212616,
0.002568744821473956,
-0.00847611017525196,
0.02985823154449463,
-0.011431039310991764,
0.00038244648021645844,
0.015975549817085266,
-0.022383708506822586,
-0.03175177797675133,
-0.05437467247247696,
0.06282586604356766,
0.015168300829827785,
0.058121901005506516,
0.03416355699300766,
0.016932288184762,
-0.08387412875890732,
-0.011171922087669373,
-0.0034133659210056067,
-0.05234160274267197,
0.03603717312216759,
-0.02176581509411335,
-0.035558801144361496,
-0.020888803526759148,
0.05194295942783356,
-0.0005954704247415066,
0.013882682658731937,
-0.03565846383571625,
0.02491508051753044,
0.02635018900036812,
-0.01670306921005249,
-0.025931615382432938,
0.050667308270931244,
-0.046082932502031326,
-0.02371915616095066,
0.0400833822786808,
-0.04221611097455025,
-0.005436470732092857,
-0.04592347517609596,
0.06477920711040497,
-0.029060950502753258,
0.0019122323719784617,
0.0065277512185275555,
0.03388451039791107,
-0.009736813604831696,
-0.03545914217829704,
-0.030436262488365173,
-0.012756520882248878,
0.004454816225916147,
-0.01714157499372959,
-0.0099710151553154,
0.004838508553802967,
-0.03773139789700508,
0.027366723865270615,
-0.03111395239830017,
-0.03850874677300453,
-0.043651219457387924,
-0.029778504744172096,
0.052301738411188126,
-0.020749278366565704,
-0.047557905316352844,
0.03374498337507248,
-0.03422335535287857,
0.018726173788309097,
-0.039485421031713486,
-0.026190731674432755,
-0.05002948269248009,
-0.02413772977888584,
0.056487470865249634,
0.00461676437407732,
0.003809515852481127,
0.012467506341636181,
-0.056925974786281586,
-0.055291548371315,
-0.042176246643066406,
0.00160203967243433,
0.034442607313394547,
0.038289494812488556,
-0.048395052552223206,
-0.00012192817666800693,
-0.02367929182946682,
0.01164032518863678,
-0.03699390962719917,
-0.03272844851016998,
-0.01653364673256874,
0.002112798858433962,
0.01996196247637272,
0.028164006769657135,
0.02176581509411335,
0.03735268861055374,
-0.0753033384680748,
-0.0021277479827404022,
-0.03543921187520027,
0.04317285120487213,
-0.016184836626052856,
-0.050268664956092834,
-0.0030296738259494305,
-0.0046317134983837605,
-0.05313888192176819,
-0.03139300271868706,
0.011919374577701092,
-0.004532053135335445,
-0.04979029670357704,
-0.023141127079725266,
-0.027306927368044853,
0.058042172342538834,
0.00564077403396368,
0.005869993008673191,
-0.004459799267351627,
0.016194801777601242,
0.022044863551855087,
-0.0001268333289772272,
0.045644428580999374,
0.003077012486755848,
0.03811010718345642,
0.009497628547251225,
0.024376913905143738,
0.041378967463970184,
0.022702621296048164,
-0.013882682658731937,
-0.002436694921925664,
0.016105107963085175,
0.00962220411747694,
-0.017111677676439285,
-0.03288790583610535,
0.06569608300924301,
0.0550922267138958,
-0.008560821413993835,
0.06800820678472519,
-0.042933665215969086,
0.021187784150242805,
-0.03848881646990776,
0.03258892521262169,
0.006702156737446785,
-0.024576235562562943,
-0.030456194654107094,
-0.006936358287930489,
-0.017201371490955353,
0.0233205147087574,
-0.013155162334442139,
-0.022284047678112984,
0.00659253029152751,
0.015108504332602024,
-0.03023694083094597,
0.008999327197670937,
-0.01880590245127678,
-0.049870025366544724,
-0.02017124928534031,
0.021865474060177803,
-0.003916650544852018,
0.0029599114786833525,
-0.017908960580825806,
0.016045311465859413,
0.005486300680786371,
-0.037472281605005264,
-0.02056989073753357,
-0.002444169484078884,
-0.001119932858273387,
0.027286995202302933,
-0.019274305552244186,
-0.023898545652627945,
-0.006278600078076124,
0.022363776341080666,
-0.029678843915462494,
-0.001187826506793499,
0.01996196247637272,
0.0072801862843334675,
-0.025453245267271996,
-0.011789816431701183,
-0.023200923576951027,
0.010215182788670063,
0.04090059548616409,
0.002051756950095296,
-0.07315067946910858,
0.06756969541311264,
0.013155162334442139,
0.0018050975631922483,
0.007982791401445866,
-0.03031666949391365,
-0.027426520362496376,
-0.010823111049830914,
0.023539768531918526,
0.01281631737947464,
0.0002637884172145277,
-0.026669101789593697,
-0.03657533973455429,
0.004220614675432444,
0.0032190284691751003,
0.018496954813599586,
0.016453919932246208,
0.058520540595054626,
-0.027705568820238113,
0.04048202186822891,
-0.02916060946881771,
-0.03848881646990776,
-0.012318016029894352,
0.008212010376155376,
0.011361276730895042,
0.03171191364526749,
0.0035703310277312994,
0.020510094240307808,
-0.015218131244182587,
-0.061948854476213455,
0.01626456528902054,
0.03067544661462307,
0.02140703797340393,
-0.03569832816720009,
-0.037033773958683014,
0.04544510692358017,
-0.0003432052326388657,
0.05206255242228508,
0.00942288339138031,
0.00004819511013920419,
0.040940459817647934,
0.015327757224440575,
-0.0095823397859931,
0.0158858560025692,
0.0011996611719951034,
-0.029041018337011337,
0.03256899490952492,
0.04807613790035248,
-0.00583012867718935,
-0.02758597768843174,
0.08570787310600281,
0.005446436814963818,
0.028901493176817894,
-0.028104210272431374,
0.004903287626802921,
0.01181971374899149,
-0.005212234798818827,
0.03288790583610535,
0.008720277808606625,
0.009946100413799286,
-0.004903287626802921,
0.004277919419109821,
0.02684849128127098,
0.005431487690657377,
-0.011520733125507832,
-0.0030271823052316904,
0.020868871361017227,
-0.019692879170179367,
0.004138394724577665,
0.06222790479660034,
-0.003779617603868246,
-0.010215182788670063,
-0.026649169623851776,
0.014669999480247498,
0.05166390910744667,
0.020300807431340218,
-0.040601614862680435,
0.0637427419424057,
-0.007982791401445866,
0.0021576459985226393,
-0.013653463684022427,
0.004666594788432121,
0.011789816431701183,
0.040601614862680435,
0.029758572578430176,
-0.010783246718347073,
0.015437384136021137,
0.010145421139895916,
-0.02635018900036812,
0.003493094351142645,
0.0009106461657211185,
-0.015507145784795284,
-0.004743831232190132,
-0.033665258437395096,
0.058879319578409195,
0.022264115512371063,
0.005969653371721506,
0.014829455874860287,
0.015576908364892006,
0.02792482264339924,
0.015287893824279308,
-0.009896269999444485,
-0.03882766142487526,
-0.020430365577340126,
0.0005942246643826365,
-0.05038825795054436,
-0.05369698256254196,
-0.005217217840254307,
0.008271806873381138,
-0.04424918442964554,
-0.005865009967237711,
0.001053284970112145,
0.016802730038762093,
-0.05194295942783356,
0.0022560604847967625,
-0.007489473093301058,
-0.007354931905865669,
-0.0063882265239953995,
0.017849164083600044,
-0.022284047678112984,
0.011989137157797813,
0.010444401763379574,
-0.03410376235842705,
-0.04106005281209946,
0.005675655324012041,
0.002693320158869028,
-0.005860026925802231,
0.03773139789700508,
0.006183922756463289,
-0.0027381672989577055,
-0.042893800884485245,
0.013085400685667992,
0.010344741865992546,
0.029619047418236732,
-0.02716740407049656,
-0.02880183234810829,
-0.02094860002398491,
0.010284945368766785,
-0.009901252575218678,
-0.0046591199934482574,
0.006652326323091984,
0.0013080417411401868,
0.0003973955463152379,
-0.04899301379919052,
-0.00842627976089716,
-0.01674293354153633,
-0.01846705749630928,
0.023180991411209106,
0.031652119010686874,
0.0030396399088203907,
-0.01283624954521656,
-0.0029947927687317133,
-0.05094635486602783,
0.05895904824137688,
0.009462747722864151,
0.033186886459589005,
0.031173748895525932,
-0.03844895213842392,
-0.020260943099856377,
0.046441711485385895,
0.0016157429199665785,
-0.0009486416820436716,
-0.0008439983357675374,
0.010110539384186268,
0.046441711485385895,
-0.05600910261273384,
0.05317874625325203,
0.006173957139253616,
0.020031724125146866,
0.03456220030784607,
0.024277254939079285,
0.01869627647101879,
0.01261699665337801,
0.004459799267351627,
-0.02134724147617817,
-0.03151259198784828,
0.019344069063663483,
-0.030077485367655754,
-0.007060933858156204,
0.012467506341636181,
-0.024197526276111603,
0.0713169276714325,
-0.038628339767456055,
-0.015766263008117676,
0.06473934650421143,
0.018726173788309097,
0.02836332842707634,
-0.08969429135322571,
-0.02557283826172352,
-0.04460795968770981,
0.035538870841264725,
-0.0034557217732071877,
0.007055950816720724,
0.002882674802094698,
0.024655964225530624,
0.01725120097398758,
0.011620393954217434,
0.029220405966043472,
0.05014907568693161,
0.013693328015506268,
-0.030934564769268036,
-0.019104883074760437,
0.00621382100507617,
-0.05118554085493088,
-0.030396398156881332,
0.009328206069767475,
0.03743241727352142,
-0.048873420804739,
-0.01148086879402399,
0.0041707842610776424,
-0.014141799882054329,
-0.032808177173137665,
-0.021686086431145668,
-0.00564575707539916,
-0.0260910727083683,
-0.008221976459026337,
-0.006966256536543369,
0.04117964580655098,
0.007728658150881529,
-0.009517560712993145,
-0.07087842375040054,
-0.024755623191595078,
-0.025054605677723885,
0.0074197109788656235,
0.012736588716506958,
0.014660033397376537,
0.056527335196733475,
-0.02373908832669258,
0.04560456424951553,
0.014978946186602116,
-0.02104826085269451,
0.019653014838695526,
-0.06454002112150192,
-0.005067727528512478,
0.044089727103710175,
-0.015377587638795376,
-0.017609978094697,
-0.0006646097754128277,
-0.04052188619971275,
0.021247580647468567,
-0.034362878650426865,
0.03458213061094284,
-0.011999102309346199,
0.00300226709805429,
-0.014570338651537895,
-0.013135230168700218,
0.0013279737904667854,
0.052222009748220444,
0.03661520406603813,
0.06489880383014679,
-0.015855956822633743,
-0.010265013203024864,
0.044408638030290604,
0.010862975381314754,
0.024217458441853523,
-0.06127116456627846,
0.02758597768843174,
0.03545914217829704,
-0.010215182788670063,
0.015836024656891823,
0.003916650544852018,
0.04297352954745293,
0.0061938888393342495,
-0.012726622633635998,
0.0535375252366066,
-0.02092866785824299,
0.018965359777212143,
-0.01004077773541212,
-0.0005805213586427271,
-0.016433987766504288,
-0.017759470269083977,
0.026888355612754822,
-0.014062071219086647,
0.016752900555729866,
-0.014869320206344128,
-0.005396606400609016,
-0.0657758116722107,
-0.015267961658537388,
0.005341793410480022,
-0.006821748800575733,
-0.024297187104821205,
0.03294770419597626,
0.015078607015311718,
-0.030994359403848648,
0.04464782401919365,
0.025473177433013916,
0.03382471203804016,
0.04038236290216446,
0.00620385492220521,
0.04436877369880676,
0.0050801848992705345,
-0.0012146101798862219,
0.043332308530807495,
-0.043691083788871765,
0.023998204618692398,
-0.02098846435546875,
-0.021108055487275124,
0.013703294098377228,
0.02288201078772545,
0.0034507387317717075,
-0.01340431347489357,
-0.06418124586343765,
-0.04361135512590408,
-0.025493109598755836,
0.0007530582952313125,
-0.020350636914372444,
-0.017600012943148613,
0.009009293280541897,
0.005411555524915457,
-0.0004870898264925927,
-0.013324584811925888,
0.006368294358253479,
0.04516605660319328,
-0.03374498337507248,
0.00621880404651165,
0.003266367129981518,
0.003714838530868292,
-0.0056955874897539616,
0.06226776912808418,
0.009397968649864197,
0.0132149588316679,
-0.014331154525279999,
0.030157214030623436,
-0.021187784150242805,
-0.005874976050108671,
-0.01220838911831379,
-0.011151989921927452,
0.02218438684940338,
0.032090622931718826,
-0.020111452788114548,
-0.022842146456241608,
0.005172370932996273,
-0.013125264085829258,
0.026170801371335983,
0.006866596173495054,
-0.04556469991803169,
-0.016573511064052582,
0.016234666109085083,
-0.024576235562562943,
0.03262878954410553,
-0.01594565063714981,
-0.028881561011075974,
0.0035728225484490395,
0.024655964225530624,
-0.0007518125348724425,
-0.03027680516242981,
0.009328206069767475,
0.010992533527314663,
-0.017191406339406967,
-0.011062296107411385,
-0.04221611097455025,
0.024735691025853157,
0.009682000614702702,
-0.038628339767456055,
0.04783695563673973,
0.03213048726320267,
-0.016972152516245842,
-0.002435449045151472,
-0.00501540582627058,
-0.029260270297527313,
-0.014311222359538078,
-0.0014276341535151005,
-0.04381067678332329,
0.02840319089591503,
0.016424020752310753,
0.039405692368745804,
-0.009527526795864105,
0.0283234640955925,
0.04456809535622597,
0.01090283878147602,
0.0043152919970452785,
0.01668313704431057,
-0.03466185927391052,
0.004444850143045187,
0.04193706437945366,
-0.014719829894602299,
0.003241451922804117,
-0.01668313704431057,
0.038588475435972214,
0.0009872600203379989,
0.01571643352508545,
0.025851886719465256,
-0.02714747190475464,
-0.009572373703122139,
-0.0597563274204731,
-0.0646197497844696,
0.054135486483573914,
0.004524578806012869,
-0.03533954918384552,
0.014450746588408947,
-0.0019346559420228004,
-0.020809074863791466,
-0.023440107703208923,
0.05971646308898926,
-0.004900796338915825,
0.005869993008673191,
-0.036336153745651245,
0.014281324110925198,
-0.05202268809080124,
0.022064795717597008,
-0.0014363543596118689,
0.0026509645394980907,
-0.013135230168700218,
-0.005421521607786417,
-0.05947728082537651,
-0.02601134404540062,
0.03725302964448929,
0.010065692476928234,
-0.014111901633441448,
-0.042933665215969086,
0.01148086879402399,
-0.02092866785824299,
-0.019443728029727936,
0.00020959811809007078,
-0.0029997755773365498,
-0.0020953582134097815,
0.02174588292837143,
-0.032449401915073395,
0.0004839754255954176,
0.026649169623851776,
-0.028602512553334236,
-0.02373908832669258,
-0.06210831180214882,
0.0528598353266716,
-0.0253137219697237,
-0.035997308790683746,
0.006771918851882219,
-0.043332308530807495,
-0.031293340027332306,
-0.03344600275158882,
-0.04082086682319641,
-0.016244633123278618,
-0.04703967273235321,
-0.034542266279459,
-0.010424469597637653,
0.030476126819849014,
-0.02567249909043312,
0.017789367586374283,
0.003777126083150506,
0.015556976199150085,
0.03490104526281357,
0.01283624954521656,
-0.008122316561639309,
-0.009861389175057411,
-0.005090150982141495,
0.01750035211443901,
-0.01322492491453886,
-0.0011074753711000085,
-0.004365121945738792,
-0.014341120608150959,
-0.0264299176633358,
0.0041433777660131454,
0.029599115252494812,
0.007733641192317009,
0.038309428840875626,
0.007105780765414238,
-0.005262065213173628,
-0.07582157105207443
] |
Posit has been a promising alternative to the IEEE-754 floating point format
for deep learning applications due to its better trade-off between dynamic
range and accuracy. However, hardware implementation of posit arithmetic
requires further exploration, especially for the dot-product operations
dominated in deep neural networks (DNNs). It has been implemented by either the
combination of multipliers and an adder tree or cascaded fused multiply-add
units, leading to poor computational efficiency and excessive hardware
overhead. To address this issue, we propose an open-source posit dot-product
unit, namely PDPU, that facilitates resource-efficient and high-throughput
dot-product hardware implementation. PDPU not only features the fused and
mixed-precision architecture that eliminates redundant latency and hardware
resources, but also has a fine-grained 6-stage pipeline, improving
computational efficiency. A configurable PDPU generator is further developed to
meet the diverse needs of various DNNs for computational accuracy. Experimental
results evaluated under the 28nm CMOS process show that PDPU reduces area,
latency, and power by up to 43%, 64%, and 70%, respectively, compared to the
existing implementations. Hence, PDPU has great potential as the computing core
of posit-based accelerators for deep learning applications. | [
-0.0400259830057621,
0.02098049409687519,
-0.02504759281873703,
-0.0038073058240115643,
0.06009272485971451,
0.05142102390527725,
-0.009133054874837399,
0.05131352320313454,
-0.004248505458235741,
0.02173299714922905,
0.040527649223804474,
0.016304226592183113,
0.09230700880289078,
-0.023023001849651337,
-0.07191776484251022,
0.003444491885602474,
-0.003883451921865344,
-0.00009070346277439967,
-0.030458446592092514,
-0.02064007706940174,
-0.010221496224403381,
0.006347002927213907,
-0.04450516402721405,
-0.03187386691570282,
0.009925870224833488,
0.025853846222162247,
-0.012622338719666004,
0.012237128801643848,
0.008474614471197128,
0.05701104551553726,
0.04493516683578491,
0.023058835417032242,
-0.06288773566484451,
-0.009907953441143036,
-0.039094310253858566,
-0.01452151220291853,
0.07489194720983505,
0.013580883853137493,
-0.009791494347155094,
-0.047443509101867676,
0.052890196442604065,
0.025620928034186363,
0.0034265753347426653,
0.05643770843744278,
-0.011798168532550335,
-0.03560055047273636,
0.03540346398949623,
0.00614096038043499,
-0.0275917686522007,
-0.002873396035283804,
0.0020783410873264074,
-0.03076303005218506,
0.025477593764662743,
-0.004002150148153305,
0.018454235047101974,
0.03070928156375885,
0.07256276905536652,
0.09252201020717621,
0.06450024247169495,
-0.011493584141135216,
-0.03938097879290581,
-0.001509484718553722,
-0.040670983493328094,
-0.002662874525412917,
0.0007138698128983378,
0.01745985634624958,
-0.01135025080293417,
0.026534682139754295,
0.025011759251356125,
-0.01059774775058031,
-0.07804529368877411,
-0.040670983493328094,
0.021482164040207863,
0.007032317575067282,
0.004429912194609642,
-0.02560301125049591,
0.06364023685455322,
0.037159305065870285,
0.07069943100214005,
0.038664311170578,
0.024044256657361984,
0.022790085524320602,
0.01904548704624176,
-0.00893597025424242,
0.045508503913879395,
0.022127166390419006,
-0.024760926142334938,
-0.05367853119969368,
0.029920944944024086,
-0.022162998095154762,
-0.0018969341181218624,
0.02511925995349884,
-0.015489015728235245,
0.010122953914105892,
0.03285928815603256,
0.016949228942394257,
-0.030745115131139755,
-0.02090882696211338,
0.01683277077972889,
0.020550493150949478,
-0.004730017390102148,
0.024062173441052437,
0.039775148034095764,
0.02848760597407818,
0.04145932197570801,
-0.04604600369930267,
0.026409264653921127,
0.025370094925165176,
0.02795010432600975,
0.09230700880289078,
-0.031784284859895706,
0.0026337597519159317,
0.017002979293465614,
-0.003070480190217495,
0.02021007426083088,
0.03698013722896576,
-0.022682584822177887,
-0.061920229345560074,
-0.016734229400753975,
-0.04196098819375038,
0.06342523545026779,
0.062278565019369125,
0.019332155585289,
-0.017782358452677727,
-0.03513471409678459,
0.009061387740075588,
-0.04360932856798172,
-0.007641486823558807,
-0.030315112322568893,
0.005522833205759525,
-0.04421849921345711,
-0.024940092116594315,
-0.00845221895724535,
-0.025173010304570198,
0.004452308174222708,
-0.02594343014061451,
0.015336723998188972,
0.0531410314142704,
0.02995677851140499,
0.016125060617923737,
0.008994200266897678,
-0.024545924738049507,
0.004653871525079012,
-0.038950979709625244,
-0.008044613525271416,
-0.015605474822223186,
-0.06804775446653366,
0.08299031108617783,
0.06310273706912994,
0.0012194577138870955,
-0.03672930225729942,
0.005379498936235905,
-0.006297731772065163,
0.009854203090071678,
0.051851026713848114,
0.029795527458190918,
0.002219435293227434,
0.010364830493927002,
0.0020872994791716337,
-0.01629526913166046,
0.015847351402044296,
-0.02221674844622612,
0.01263129711151123,
0.028935523703694344,
-0.008752324618399143,
0.05980605632066727,
0.018337776884436607,
0.016134018078446388,
0.010122953914105892,
0.022933417931199074,
0.003332512453198433,
0.04310765862464905,
0.03196345269680023,
0.02277216874063015,
-0.023506753146648407,
0.07489194720983505,
0.026445098221302032,
0.014001927338540554,
-0.021715080365538597,
-0.007278672885149717,
-0.02434884011745453,
-0.011233791708946228,
0.004788246937096119,
0.017692774534225464,
-0.0011780252680182457,
0.009540660306811333,
0.06023605540394783,
0.02160757966339588,
0.01627735234797001,
0.0009747822768986225,
0.018937986344099045,
0.04124432057142258,
0.008250655606389046,
0.005030123051255941,
0.020120492205023766,
-0.04697767272591591,
-0.042677659541368484,
-0.012013169936835766,
0.020550493150949478,
0.02402633987367153,
-0.04056348279118538,
-0.01822131685912609,
-0.003961837850511074,
0.01573985069990158,
-0.05113435536623001,
0.004291057586669922,
0.034883879125118256,
0.03952431306242943,
0.028863856568932533,
-0.04672684147953987,
0.04464849829673767,
0.012962756678462029,
-0.017289647832512856,
-0.05134935677051544,
-0.010561914183199406,
-0.01794360764324665,
0.02395467273890972,
0.01538151502609253,
-0.02911469154059887,
-0.047013506293296814,
-0.04257015883922577,
0.015560682862997055,
-0.0731719359755516,
-0.02289758436381817,
-0.01384067628532648,
-0.03230386972427368,
-0.03513471409678459,
0.059017717838287354,
0.014333386905491352,
0.022754251956939697,
0.050346020609140396,
0.004465745761990547,
-0.004819601308554411,
-0.0063246069476008415,
0.0002939464175142348,
-0.005894605070352554,
-0.019027570262551308,
0.008205863647162914,
-0.059447720646858215,
0.05052518844604492,
-0.038950979709625244,
-0.03841347619891167,
0.019636739045381546,
0.007439923472702503,
-0.04124432057142258,
0.01200421154499054,
-0.011923586018383503,
0.04887684807181358,
-0.0038968895096331835,
-0.012264003977179527,
0.027555935084819794,
-0.023363420739769936,
0.011126291006803513,
-0.03259053826332092,
-0.005321269854903221,
-0.004102931823581457,
0.04145932197570801,
-0.031784284859895706,
-0.049593519419431686,
-0.002014512661844492,
0.03339679166674614,
0.018185485154390335,
-0.034256793558597565,
0.009361493401229382,
-0.030118027701973915,
0.01090233214199543,
0.011547334492206573,
0.05808604881167412,
0.011117332614958286,
0.05575687438249588,
0.012040045112371445,
-0.017074646428227425,
-0.001675214502029121,
0.019565071910619736,
0.027287185192108154,
-0.00009889197099255398,
-0.014924638904631138,
0.02187633141875267,
0.03916597738862038,
0.01083066500723362,
-0.0036706908140331507,
0.0016651364276185632,
-0.014091510325670242,
-0.00021892008953727782,
0.005370541010051966,
-0.06668607890605927,
-0.0038431393913924694,
-0.049091849476099014,
-0.01487088855355978,
0.008371593430638313,
-0.0203534085303545,
0.024187589064240456,
-0.0053033530712127686,
0.029920944944024086,
0.0231125857681036,
-0.005675125401467085,
-0.0165729783475399,
-0.0351884625852108,
-0.005397415719926357,
-0.04231932386755943,
-0.03151553496718407,
-0.011538376100361347,
0.05170769244432449,
0.0008991960785351694,
-0.028738440945744514,
-0.004342568106949329,
-0.03027927875518799,
0.003567669540643692,
-0.021141745150089264,
-0.02415175549685955,
0.03683680295944214,
0.034686796367168427,
0.007108463905751705,
-0.023542586714029312,
0.009280867874622345,
0.0224138330668211,
0.028380105271935463,
0.002723343437537551,
-0.009092742577195168,
-0.028129270300269127,
-0.013025465421378613,
-0.012873172760009766,
-0.11187208443880081,
0.07467694580554962,
0.05926855280995369,
0.021625496447086334,
0.008989720605313778,
0.002844281494617462,
-0.033217623829841614,
-0.0158742256462574,
-0.014127343893051147,
-0.05066852271556854,
-0.023847172036767006,
0.027645519003272057,
-0.021374663338065147,
-0.021697163581848145,
-0.017065688967704773,
-0.012479004450142384,
-0.011986294761300087,
0.04891268163919449,
0.059376053512096405,
0.042964328080415726,
-0.009424202144145966,
0.02947302535176277,
-0.020317574962973595,
-0.05561354011297226,
-0.024313006550073624,
0.002857718849554658,
-0.07367360591888428,
0.025782179087400436,
0.001065485761500895,
0.012819422408938408,
0.01507693063467741,
0.051170188933610916,
0.10226871073246002,
-0.07818862050771713,
0.003926004283130169,
0.0076146116480231285,
-0.04773017764091492,
-0.0696960911154747,
-0.0021287319250404835,
0.022198831662535667,
0.014405053108930588,
0.011959419585764408,
-0.04403933137655258,
0.04106515273451805,
-0.019815906882286072,
-0.037087637931108475,
-0.035869300365448,
0.005249602720141411,
-0.013697342947125435,
0.06768941879272461,
0.004360484890639782,
-0.020890910178422928,
-0.058193549513816833,
0.034812211990356445,
0.054753538221120834,
0.02408009022474289,
-0.052209362387657166,
0.027430519461631775,
-0.05238852649927139,
0.052066028118133545,
0.007681799586862326,
-0.049772683531045914,
0.08155696839094162,
0.005769188050180674,
0.0628160685300827,
0.009253992699086666,
0.0021511276718229055,
-0.01176233496516943,
-0.008317843079566956,
-0.0717744305729866,
-0.0038655351381748915,
-0.05099102109670639,
-0.00036281385109759867,
0.004810642916709185,
0.0032921996898949146,
-0.060200221836566925,
0.014852971769869328,
0.023900922387838364,
-0.026445098221302032,
-0.016474436968564987,
-0.09768202900886536,
0.009025554172694683,
0.021356746554374695,
-0.006723253987729549,
-0.05622271075844765,
0.003563190344721079,
0.02277216874063015,
0.003166782669723034,
0.03801930695772171,
-0.033970125019550323,
-0.00743544427677989,
-0.011583168059587479,
0.03705180436372757,
-0.02940136007964611,
-0.017262771725654602,
0.009477951563894749,
-0.03733847290277481,
-0.0027994895353913307,
-0.040885984897613525,
0.023829255253076553,
0.03504513204097748,
-0.02001299150288105,
0.026731766760349274,
0.018687153235077858,
0.049306850880384445,
-0.005948355421423912,
0.06174106150865555,
-0.008806074038147926,
0.008667219430208206,
-0.02248550020158291,
0.043931830674409866,
-0.0007726591429673135,
-0.06926608830690384,
0.01719110645353794,
-0.003278762102127075,
0.03298470750451088,
-0.0231125857681036,
0.0476226769387722,
-0.0448634997010231,
-0.08392197638750076,
-0.012846297584474087,
0.011959419585764408,
-0.005813980009406805,
-0.04794517904520035,
-0.03504513204097748,
-0.027788853272795677,
-0.0476226769387722,
-0.04464849829673767,
0.004779288545250893,
0.0032182931900024414,
-0.0538218654692173,
-0.02463550865650177,
0.056330207735300064,
-0.0012552911648526788,
-0.06453607231378555,
0.009406285360455513,
0.02560301125049591,
-0.04436182975769043,
0.053857699036598206,
0.07116526365280151,
0.012013169936835766,
-0.058265216648578644,
0.011520459316670895,
0.00541533250361681,
0.007654924411326647,
-0.030207611620426178,
0.0067277331836521626,
0.04575933516025543,
-0.00040480619645677507,
-0.018328817561268806,
0.010821706615388393,
0.04572350159287453,
0.021768830716609955,
0.003285480896010995,
0.02732301875948906,
-0.016994021832942963,
-0.04085015133023262,
-0.01642068661749363,
0.050955187529325485,
-0.04755100980401039,
0.03307428956031799,
-0.01945757307112217,
0.005952834617346525,
0.044684331864118576,
0.06338940560817719,
0.00959441065788269,
0.04389599710702896,
0.006378356833010912,
-0.020371325314044952,
-0.02773510292172432,
-0.022736335173249245,
0.022610917687416077,
-0.04988018423318863,
-0.028810106217861176,
-0.025638844817876816,
-0.048339344561100006,
0.06987526267766953,
0.03208886831998825,
-0.03755347430706024,
-0.01979799009859562,
-0.029652193188667297,
0.004918143153190613,
-0.002376206684857607,
-0.04540100321173668,
0.00512418569996953,
0.012900047935545444,
-0.06722358614206314,
0.03160511702299118,
0.03592304885387421,
-0.019081320613622665,
0.03289512172341347,
0.03300262242555618,
0.015497974120080471,
-0.014270678162574768,
-0.0062081478536129,
0.014736512675881386,
0.01118004135787487,
0.035708051174879074,
0.04733600839972496,
0.020729660987854004,
-0.05704687908291817,
0.041100986301898956,
-0.012720881029963493,
0.0021320912055671215,
0.0054063741117715836,
-0.02974177710711956,
0.04085015133023262,
-0.016608811914920807,
-0.020030908286571503,
0.02083716168999672,
-0.03323553875088692,
-0.04504266753792763,
-0.007359298411756754,
0.008541802875697613,
-0.021087994799017906,
0.016680479049682617,
0.023650087416172028,
0.005245123524218798,
-0.013706301338970661,
0.016402769833803177,
0.046476006507873535,
0.028398022055625916,
-0.023847172036767006,
0.021482164040207863,
0.02635551430284977,
-0.039775148034095764,
0.008259613998234272,
0.026248013600707054,
-0.030458446592092514,
-0.03285928815603256,
-0.03285928815603256,
-0.0006892343517392874,
-0.019421739503741264,
-0.047371841967105865,
-0.033360958099365234,
-0.05231685936450958,
0.012828380800783634,
-0.017217980697751045,
-0.016599852591753006,
-0.04425433278083801,
0.006700858008116484,
-0.0579785481095314,
-0.023435087874531746,
-0.017647981643676758,
0.005621375050395727,
0.06059439107775688,
0.042462658137083054,
0.020102575421333313,
0.004499339498579502,
0.016859646886587143,
-0.03780430555343628,
0.05278269574046135,
-0.019350072368979454,
0.015981726348400116,
-0.04221182316541672,
-0.0324113704264164,
-0.06869275867938995,
-0.028541356325149536,
0.0165640190243721,
-0.03948847949504852,
0.021625496447086334,
0.015256098471581936,
-0.0013538331259042025,
0.0434659942984581,
-0.003921525087207556,
-0.026068847626447678,
-0.002828604308888316,
-0.03325345739722252,
0.013751092366874218,
0.024456340819597244,
-0.005997626576572657,
0.024653425440192223,
-0.01641172729432583,
-0.024743009358644485,
0.035708051174879074,
0.002700947457924485,
0.019224654883146286,
-0.025710511952638626,
-0.020998410880565643,
0.02200174890458584,
0.02664218284189701,
-0.004156682174652815,
-0.06926608830690384,
-0.01403776090592146,
0.020030908286571503,
-0.011036708019673824,
0.04787351191043854,
-0.006763566751033068,
-0.058623552322387695,
-0.029168441891670227,
0.04636850580573082,
-0.008501489646732807,
-0.00548699963837862,
-0.017370272427797318,
0.027753019705414772,
0.011538376100361347,
-0.020550493150949478,
-0.022377999499440193,
0.018301943317055702,
-0.010741082020103931,
0.02490425854921341,
0.007995341904461384,
-0.008125238120555878,
0.054825205355882645,
-0.029150525107979774,
-0.0030368862207978964,
-0.020747577771544456,
-0.045436836779117584,
-0.03285928815603256,
0.028935523703694344,
-0.02967010997235775,
-0.011825043708086014,
-0.025889679789543152,
-0.03235762193799019,
-0.029383443295955658,
-0.028398022055625916,
0.009424202144145966,
-0.012192336842417717,
-0.014467761851847172,
-0.00526304030790925,
-0.023238003253936768,
-0.00017132876382675022,
-0.00987211987376213,
0.0035072006285190582,
0.014987347647547722,
-0.011538376100361347,
0.0766119509935379,
0.05919688567519188,
0.01335692498832941,
-0.024402590468525887,
0.0338267907500267,
0.04407516494393349,
0.01197733636945486,
-0.02021007426083088,
0.021338829770684242,
0.005146581679582596,
0.003957358654588461,
0.01545318216085434,
0.006897942163050175,
-0.013428591191768646,
-0.008470135740935802,
0.04859017953276634,
-0.007229401730000973,
-0.023578420281410217,
-0.007502632215619087,
0.01960090547800064,
0.016805896535515785,
0.03332512453198433,
-0.019815906882286072,
-0.02277216874063015,
0.020855076611042023,
-0.006732212379574776,
0.033504292368888855,
-0.046619340777397156,
0.026893015950918198,
0.0026561557315289974,
-0.0016864124918356538,
-0.007426485884934664,
0.012362546287477016,
-0.007968466728925705,
-0.006862109061330557,
-0.02318425290286541,
0.002135450718924403,
-0.006732212379574776,
0.02119549550116062,
-0.02560301125049591,
-0.05002351850271225,
0.007605653256177902,
-0.013688384555280209,
-0.07826028764247894,
-0.012962756678462029,
0.003043605014681816,
0.021697163581848145,
0.0386284776031971,
-0.01145775057375431,
0.029992612078785896,
-0.0061902315355837345,
-0.03603054955601692,
-0.04249849170446396,
-0.022646751254796982,
0.0234530046582222,
-0.03841347619891167,
0.023363420739769936,
-0.03298470750451088,
0.016116101294755936,
-0.004555329214781523,
-0.04425433278083801,
0.01358984224498272,
0.015211306512355804,
0.041710153222084045,
-0.009531701914966106,
0.05650937557220459,
0.039631813764572144,
-0.012299837544560432,
-0.01856173574924469,
0.013706301338970661,
-0.022127166390419006,
0.025423845276236534,
0.016393810510635376,
0.04128015413880348,
-0.021231329068541527,
-0.0310496985912323,
-0.0065620034001767635,
0.03497346490621567,
-0.023005085065960884,
0.009253992699086666,
-0.017647981643676758,
0.0019406061619520187,
0.008823990821838379,
-0.013464424759149551,
-0.003428814932703972,
0.013697342947125435,
0.01808694191277027,
-0.001687532290816307,
0.021159661933779716,
0.030995948240160942,
0.0033728249836713076,
-0.040133483707904816,
0.05414436757564545,
-0.018337776884436607,
0.0019742001313716173,
0.019690489396452904,
0.005504916422069073,
-0.0057333544827997684,
0.015587558038532734,
0.024581758305430412,
0.014109427109360695,
-0.0056930421851575375,
0.02581801265478134,
-0.01821235939860344,
-0.00346016907133162,
-0.01752256602048874,
-0.07353027164936066,
-0.012756713666021824,
-0.00757429888471961,
0.002712145447731018,
0.01870507001876831,
-0.0150142228230834,
-0.032268036156892776,
0.018866319209337234,
-0.032196369022130966,
0.021643413230776787,
0.03769680857658386,
-0.04801684617996216,
-0.0272692684084177,
0.042605992406606674,
0.0023560505360364914,
-0.010893373750150204,
0.04403933137655258,
0.03615596890449524,
0.00005312031498760916,
0.001810709829442203,
-0.011538376100361347,
0.015121722593903542,
0.027036350220441818,
-0.007323464844375849,
-0.008985241875052452,
-0.012783588841557503,
-0.0073458608239889145,
-0.018615486100316048,
-0.03855681046843529,
0.023023001849651337,
-0.00693377573043108,
-0.047228507697582245,
0.006665024906396866,
0.005173456855118275,
-0.014297553338110447,
0.004658350721001625,
0.0027793331537395716,
-0.0036079820711165667,
-0.02519092708826065,
0.0400259830057621,
0.05615104362368584,
0.019152987748384476,
-0.006436586380004883,
0.020317574962973595,
-0.01718214713037014,
-0.04292849451303482,
0.04801684617996216,
-0.02443842403590679,
-0.01670735329389572,
0.07467694580554962,
0.016546102240681648,
0.04375266283750534,
0.018937986344099045,
0.019511323422193527,
-0.009979620575904846,
-0.029831361025571823,
0.01897381991147995,
-0.022808002308011055,
0.0005517794052138925,
0.018024234101176262,
-0.006718774791806936,
-0.014933597296476364,
-0.039990149438381195,
-0.013697342947125435,
-0.04368099570274353,
0.017979441210627556,
0.0013235986698418856,
-0.03223220258951187,
-0.0009053549147211015,
0.006566482596099377,
0.0027994895353913307,
-0.07209693640470505,
0.03959598019719124,
-0.014978389255702496,
0.022180914878845215,
0.03816264122724533,
0.012855255976319313,
0.002230633283033967,
-0.002322456566616893,
-0.0469418428838253,
0.004824080504477024,
0.013822759501636028,
0.025352178141474724,
0.02565676160156727,
-0.0051689776591956615,
0.004680746700614691,
0.020675910636782646,
0.0007642606506124139,
-0.013097131624817848,
-0.027036350220441818,
-0.02614051289856434,
-0.004676267504692078,
0.0035654299426823854,
0.03606638312339783,
-0.03527804836630821,
-0.03533179685473442,
0.0600568912923336,
0.004391839262098074,
-0.0004739535797853023,
-0.005142102483659983,
-0.042820993810892105,
-0.0105260806158185,
-0.01393921859562397,
-0.01424380298703909,
-0.005540749523788691,
0.007735549472272396,
0.005934917833656073,
0.0006562003400176764,
-0.02291550114750862,
0.003733399324119091,
0.006302210967987776,
0.017289647832512856,
0.009088262915611267,
0.002969698514789343,
-0.041710153222084045,
-0.029150525107979774,
-0.008600031957030296,
0.04608183726668358,
0.028057605028152466,
0.035027213394641876,
-0.009710869751870632,
-0.051994360983371735,
-0.030135944485664368,
-0.04292849451303482,
0.05113435536623001,
0.033432625234127045,
0.03216053545475006,
0.007238360121846199,
0.006647108122706413,
0.026624266058206558,
0.02572842873632908,
0.029078857973217964,
-0.020102575421333313,
-0.024796759709715843,
-0.007883362472057343,
-0.0035855863243341446,
-0.01836465112864971,
0.006235023029148579,
0.03859264403581619,
-0.007986383512616158,
0.01145775057375431,
0.004626996349543333,
-0.019833823665976524,
-0.009361493401229382,
0.04837517812848091,
-0.03182011842727661,
-0.000903115316759795,
-0.034131377935409546,
-0.032268036156892776,
-0.0628160685300827,
0.04217598959803581,
-0.017764441668987274,
0.010499205440282822,
0.012308795936405659,
0.023220086470246315,
0.01979799009859562,
0.017029855400323868,
-0.01917090453207493,
0.013571925461292267,
-0.03112136572599411,
0.023506753146648407,
0.049844350665807724,
-0.01972632296383381,
-0.007198047358542681,
0.03927347809076309,
-0.0572977140545845,
-0.00962128583341837,
-0.0141452606767416,
-0.023990506306290627,
-0.015560682862997055,
-0.009603369049727917,
0.014414011500775814,
-0.029222192242741585,
0.036800969392061234,
-0.005737833678722382,
0.05844438448548317,
-0.030870530754327774,
0.051922693848609924,
0.04235515743494034,
0.03491971269249916,
0.014431928284466267,
0.011027749627828598,
-0.01676110364496708,
-0.023273836821317673,
-0.04085015133023262,
-0.006682941690087318,
-0.03042261302471161,
-0.015211306512355804,
0.021715080365538597,
0.0029405837412923574,
0.032196369022130966,
-0.08936866372823715,
0.0379476398229599,
0.02952677570283413,
-0.0293296929448843,
0.042605992406606674,
-0.017845066264271736,
-0.07367360591888428,
-0.012819422408938408,
-0.05145685747265816,
0.009943787008523941,
-0.010122953914105892,
-0.0022283936850726604,
0.004445589613169432,
0.019296322017908096,
0.015901099890470505,
-0.015515890903770924,
0.009710869751870632,
-0.01162796001881361,
-0.0002042227570200339,
-0.02049674279987812,
0.006203668657690287,
-0.004958455916494131,
-0.03801930695772171,
-0.014261719770729542,
0.0026494369376450777,
-0.030458446592092514,
-0.04672684147953987,
0.056473542004823685,
0.03366554155945778,
0.03905847668647766,
-0.025173010304570198,
0.01452151220291853,
0.005867730360478163,
-0.000565216934774071,
-0.0072831520810723305,
0.07152359932661057,
0.0000716669310349971,
0.030655531212687492,
0.029150525107979774,
0.004519496113061905,
-0.0050032478757202625,
-0.003872253932058811,
-0.040205150842666626,
-0.02669593319296837,
0.010257329791784286,
-0.02843385562300682,
0.004438870586454868,
0.05367853119969368,
-0.04228349030017853,
0.05170769244432449,
0.0027457394171506166,
-0.07818862050771713,
-0.010293163359165192,
0.024617591872811317,
0.008635865524411201,
-0.017970483750104904,
0.0038856915198266506,
-0.01745089888572693,
0.03402387723326683,
0.0007804976776242256,
0.01097399927675724,
0.057369381189346313,
-0.023578420281410217,
-0.06467940658330917,
-0.008707532659173012,
-0.024796759709715843,
-0.04927101731300354,
0.05084769055247307,
0.02442050725221634,
0.0282905213534832,
-0.012640255503356457,
-0.04257015883922577,
0.007695236708968878,
0.018651319667696953,
0.00004426692976267077,
0.015829434618353844,
0.018436318263411522,
0.013303174637258053,
0.03470471128821373
] |
To act in the world, robots rely on a representation of salient task aspects:
for example, to carry a cup of coffee, a robot must consider movement
efficiency and cup orientation in its behaviour. However, if we want robots to
act for and with people, their representations must not be just functional but
also reflective of what humans care about, i.e. their representations must be
aligned with humans'. In this survey, we pose that current reward and imitation
learning approaches suffer from representation misalignment, where the robot's
learned representation does not capture the human's representation. We suggest
that because humans will be the ultimate evaluator of robot performance in the
world, it is critical that we explicitly focus our efforts on aligning learned
task representations with humans, in addition to learning the downstream task.
We advocate that current representation learning approaches in robotics should
be studied from the perspective of how well they accomplish the objective of
representation alignment. To do so, we mathematically define the problem,
identify its key desiderata, and situate current robot learning methods within
this formalism. We conclude the survey by suggesting future directions for
exploring open challenges. | [
0.0174554456025362,
-0.020010778680443764,
-0.026813004165887833,
-0.017158523201942444,
0.029692253097891808,
0.042145002633333206,
0.01610579714179039,
-0.006950686685740948,
-0.060572195798158646,
0.05290619656443596,
0.0014238784788176417,
-0.014351255260407925,
0.02632713131606579,
-0.018157262355089188,
-0.05161053314805031,
0.0218283049762249,
0.03485690429806709,
0.016078805550932884,
-0.02882847748696804,
0.002091954229399562,
0.03253551200032234,
-0.010338302701711655,
-0.04869529604911804,
0.014522210694849491,
0.022548116743564606,
0.0068697077222168446,
0.029350342229008675,
-0.019057027995586395,
-0.10077370703220367,
0.016681646928191185,
0.0143962437286973,
-0.0005651650135405362,
-0.0289724413305521,
0.017851341515779495,
-0.047975484281778336,
0.012947621755301952,
0.02767677791416645,
0.04963105171918869,
-0.038617923855781555,
0.08198660612106323,
0.0008249722304753959,
0.028162652626633644,
-0.038725897669792175,
-0.07881943136453629,
-0.015242023393511772,
-0.015610926784574986,
-0.051286619156599045,
0.043188732117414474,
-0.004357113037258387,
-0.01219181902706623,
0.0073735760524868965,
-0.029440319165587425,
0.05164652317762375,
-0.00034162960946559906,
-0.04498826339840889,
0.043152742087841034,
0.06643866747617722,
-0.06748238950967789,
0.04387255385518074,
0.042001042515039444,
0.035036858171224594,
0.005232134833931923,
-0.07262904942035675,
-0.056109361350536346,
0.03303937986493111,
-0.06291158497333527,
0.026273144409060478,
-0.023645831272006035,
0.004692275542765856,
-0.021126488223671913,
-0.02548135071992874,
0.006019429303705692,
-0.01500808447599411,
-0.03321933373808861,
-0.03480292111635208,
-0.025679299607872963,
0.08932869136333466,
0.03381317853927612,
0.019093018025159836,
-0.026813004165887833,
-0.008331825956702232,
0.054561764001846313,
0.014432234689593315,
-0.027028948068618774,
0.06712248921394348,
-0.029314352199435234,
0.021324435248970985,
-0.05639728531241417,
0.0005061179399490356,
0.015799878165125847,
-0.08486586064100266,
0.023321915417909622,
0.0027127922512590885,
0.01690658926963806,
0.008102386258542538,
-0.023735806345939636,
0.029098408296704292,
-0.00541658652946353,
0.00577649287879467,
-0.0011325795203447342,
-0.007863948121666908,
-0.006703251041471958,
0.002890495816245675,
-0.008889680728316307,
0.0008019157685339451,
-0.021684342995285988,
-0.025877248495817184,
-0.035000868141651154,
0.01614178903400898,
0.126255065202713,
-0.009096626192331314,
0.0037880116142332554,
-0.04937911778688431,
-0.0333453007042408,
-0.06996574252843857,
0.010077370330691338,
-0.023285923525691032,
-0.05161053314805031,
0.03489289432764053,
-0.010554246604442596,
-0.006721246521919966,
0.043188732117414474,
0.0809788703918457,
-0.004188407212495804,
-0.00208408129401505,
0.05762096494436264,
-0.05506563186645508,
0.0037565198726952076,
0.0231239665299654,
0.024833520874381065,
0.01970485784113407,
0.04243293032050133,
0.014954098500311375,
0.05319412052631378,
0.0551736056804657,
0.009438537061214447,
0.0021391918417066336,
0.029476309195160866,
-0.04527618736028671,
0.038437969982624054,
-0.03944570943713188,
-0.049954965710639954,
0.006590780336409807,
-0.025877248495817184,
0.014063330367207527,
0.005947448313236237,
-0.016204772517085075,
0.0672304555773735,
-0.013118577189743519,
0.02438363805413246,
-0.008633247576653957,
0.006023928057402372,
-0.004595551174134016,
0.026309136301279068,
0.07014569640159607,
-0.03933773562312126,
-0.029098408296704292,
-0.010608232580125332,
-0.014261279255151749,
0.020154740661382675,
0.0505308173596859,
-0.03561270982027054,
-0.02756880782544613,
0.05092671141028404,
0.09501521289348602,
0.028378596529364586,
0.018841084092855453,
-0.034047115594148636,
-0.0601762980222702,
0.054813697934150696,
-0.06924593448638916,
-0.027334867045283318,
0.0023888766299933195,
0.03894183784723282,
-0.033867161720991135,
0.019884811714291573,
0.013280535116791725,
0.0024990979582071304,
-0.02767677791416645,
-0.03212161734700203,
-0.050314873456954956,
-0.01858915016055107,
0.002213422441855073,
0.036170560866594315,
0.037466224282979965,
0.027946708723902702,
0.04930713400244713,
0.004692275542765856,
0.037502214312553406,
-0.03109588660299778,
0.03447900339961052,
0.029278360307216644,
0.01208384707570076,
0.008831195533275604,
0.021504389122128487,
-0.08680935204029083,
-0.055929407477378845,
-0.03237355500459671,
-0.009942405857145786,
0.045600101351737976,
-0.016519689932465553,
-0.03545074909925461,
-0.010734199546277523,
0.013991349376738071,
0.026237154379487038,
-0.03951768949627876,
-0.0014508714666590095,
-0.012749673798680305,
0.03010614402592182,
-0.0458880253136158,
0.012020863592624664,
-0.037394244223833084,
-0.01610579714179039,
-0.009330565109848976,
-0.03546874597668648,
0.0005688203382305801,
0.045528121292591095,
0.026273144409060478,
0.009960400871932507,
-0.0039094798266887665,
-0.03890584781765938,
-0.026003215461969376,
0.021252455189824104,
-0.017725374549627304,
-0.009366556070744991,
0.025679299607872963,
0.03465895727276802,
-0.030268102884292603,
-0.008025906048715115,
-0.01831921935081482,
-0.020352689549326897,
0.030681993812322617,
0.0464278869330883,
-0.009074132889509201,
0.0012360524851828814,
0.02994418703019619,
-0.016771623864769936,
-0.035216812044382095,
-0.03685438260436058,
-0.001519478508271277,
0.0300881490111351,
-0.009200099855661392,
0.01839120127260685,
-0.004325621295720339,
0.06352342665195465,
0.008741219528019428,
-0.01270468533039093,
0.021648351103067398,
0.012389766983687878,
0.010437277145683765,
-0.016960574313998222,
0.03321933373808861,
-0.026974961161613464,
-0.0049487086944282055,
0.0479394905269146,
0.07000173628330231,
0.07054159790277481,
0.03012414090335369,
0.02204424887895584,
-0.0000755662185838446,
0.02429366111755371,
0.10746795684099197,
0.05646926537156105,
0.03897783160209656,
0.023861773312091827,
-0.03138381242752075,
0.04282882437109947,
-0.007895439863204956,
0.03242753818631172,
0.011157088913023472,
-0.024851515889167786,
0.016987567767500877,
-0.02092853933572769,
0.022404154762625694,
-0.03904981166124344,
-0.02434764802455902,
0.0068652089685201645,
-0.006230874452739954,
0.02983621507883072,
0.004397602751851082,
0.03552273288369179,
-0.0333453007042408,
0.04002155736088753,
0.018139267340302467,
-0.038689903914928436,
-0.023627834394574165,
-0.012677691876888275,
0.005466073751449585,
-0.060500215739011765,
0.05506563186645508,
0.00039280374767258763,
-0.013568460009992123,
-0.0024721049703657627,
-0.023879770189523697,
0.03651247173547745,
-0.020370684564113617,
-0.0017185516189783812,
0.017518429085612297,
0.04743562266230583,
0.005353603046387434,
0.023519862443208694,
-0.02659706026315689,
0.051358599215745926,
-0.021414412185549736,
0.007427562028169632,
0.018787099048495293,
-0.025697294622659683,
0.03782613202929497,
0.0013462736969813704,
0.011121097952127457,
-0.017140528187155724,
0.00987942237406969,
0.003380867885425687,
0.017833346500992775,
-0.0033268819097429514,
0.0722331553697586,
0.024815525859594345,
-0.036296531558036804,
-0.03347126767039299,
0.01594384014606476,
-0.05283421650528908,
-0.0030951923690736294,
-0.08565764874219894,
0.0033898656256496906,
0.0028252629563212395,
0.035216812044382095,
0.03825801610946655,
-0.044376421719789505,
-0.028414586558938026,
-0.010851169005036354,
-0.08601755648851395,
0.02206224389374256,
0.045384157449007034,
0.023717811331152916,
0.017446447163820267,
-0.009573502466082573,
-0.024491610005497932,
-0.009852428920567036,
-0.02522941678762436,
-0.05186246708035469,
0.008358819410204887,
0.015916846692562103,
0.011687950231134892,
-0.023681821301579475,
-0.006212878972291946,
-0.03365122154355049,
-0.037430234253406525,
0.009519516490399837,
0.0003374119696673006,
0.02985421009361744,
0.0011466383002698421,
-0.024905500933527946,
-0.03703433647751808,
0.03912179172039032,
0.043152742087841034,
-0.000689445121679455,
-0.013379509560763836,
0.009393549524247646,
-0.03098791465163231,
-0.00863774586468935,
0.051394589245319366,
-0.08011509478092194,
-0.046643830835819244,
0.028072675690054893,
-0.06647465378046036,
-0.04236094653606415,
-0.06438720226287842,
-0.04531217738986015,
0.016735633835196495,
-0.011328044347465038,
-0.061543941497802734,
0.025913238525390625,
0.016951577737927437,
-0.05027887970209122,
-0.007346583064645529,
0.0464278869330883,
0.004129922483116388,
-0.020118750631809235,
-0.031689733266830444,
0.03940971568226814,
0.004849734716117382,
-0.015898851677775383,
-0.04023750126361847,
0.012965616770088673,
-0.018913066014647484,
0.05650525540113449,
-0.0115619832649827,
-0.035288792103528976,
0.017536424100399017,
0.07975518703460693,
0.02551734261214733,
-0.034047115594148636,
-0.055857427418231964,
0.0208025723695755,
0.0038532447069883347,
0.02292601764202118,
0.027892721816897392,
-0.015592931769788265,
0.021540379151701927,
0.008768212050199509,
-0.017536424100399017,
0.03699834644794464,
-0.0014441232196986675,
0.036170560866594315,
0.03775414824485779,
-0.04988298565149307,
0.00020216600387357175,
-0.03105989657342434,
-0.009029144421219826,
0.04840736836194992,
-0.017581412568688393,
-0.0006770733161829412,
0.005173650104552507,
-0.014162304811179638,
-0.038653913885354996,
-0.007301595062017441,
0.01775236800312996,
0.006113904993981123,
-0.003452849108725786,
-0.07486046850681305,
0.01555694080889225,
-0.039697643369436264,
0.03120385855436325,
0.00010783124162117019,
-0.0388338677585125,
0.02528340369462967,
0.0010673465440049767,
0.029260365292429924,
-0.012425757944583893,
-0.07378075271844864,
-0.00488122645765543,
0.0264710932970047,
0.054633744060993195,
-0.018715117126703262,
-0.00008941417036112398,
-0.0008587134652771056,
-0.008192362263798714,
0.03449700027704239,
-0.04387255385518074,
0.011166086420416832,
-0.020460661500692368,
-0.006725745275616646,
-0.016978569328784943,
-0.015206032432615757,
0.044196467846632004,
-0.03561270982027054,
0.032805439084768295,
-0.037358254194259644,
-0.0006506427307613194,
-0.0020031023304909468,
-0.04876727610826492,
0.011777927167713642,
-0.07486046850681305,
-0.035342779010534286,
0.043224722146987915,
-0.013424497097730637,
0.011346039362251759,
-0.05528157576918602,
-0.001040353556163609,
-0.07824358344078064,
0.008840193040668964,
0.01573689468204975,
0.019218984991312027,
-0.016258757561445236,
0.05027887970209122,
0.011274058371782303,
-0.04070537909865379,
-0.026992958039045334,
-0.02641710825264454,
0.04757958650588989,
-0.03467695415019989,
-0.011507997289299965,
0.008426301181316376,
-0.016168780624866486,
0.0049037206918001175,
0.03325532376766205,
0.007229613605886698,
-0.0359366238117218,
0.0484793521463871,
0.004402101505547762,
0.002663305029273033,
0.0125877158716321,
0.0337052047252655,
-0.05323011055588722,
-0.0039297244511544704,
0.004399851895868778,
0.05438181012868881,
-0.009447534568607807,
-0.05603737756609917,
-0.00772448442876339,
0.027010953053832054,
-0.025553332641720772,
0.031851690262556076,
0.020010778680443764,
-0.04218099266290665,
-0.05301416665315628,
-0.02301599457859993,
-0.0672304555773735,
0.07781169563531876,
-0.01743745058774948,
-0.029152393341064453,
-0.030592018738389015,
0.008007911033928394,
0.04027349129319191,
0.00009799005783861503,
-0.01968686282634735,
0.03240954503417015,
0.0016015821602195501,
0.0020199730060994625,
-0.01975884474813938,
0.015170041471719742,
0.007085651159286499,
0.034137092530727386,
0.022530121728777885,
0.014468224719166756,
0.024959487840533257,
0.02521142177283764,
-0.05218638479709625,
0.05412987619638443,
-0.0015993326669558883,
-0.007162131369113922,
0.01741945557296276,
0.0046742805279791355,
0.02641710825264454,
-0.061867859214544296,
0.018013300374150276,
0.008745717816054821,
0.010698208585381508,
-0.03343527764081955,
-0.0033111360389739275,
-0.0036215551663190126,
0.01775236800312996,
-0.03588263690471649,
-0.027892721816897392,
0.0006079038721509278,
-0.013181560672819614,
0.035306788980960846,
0.018859079107642174,
0.044232457876205444,
-0.005551551468670368,
-0.016807613894343376,
0.05787289887666702,
-0.00602842727676034,
0.009065134450793266,
-0.005403090268373489,
-0.0028455075807869434,
0.05906058847904205,
-0.03915778174996376,
-0.010356297716498375,
0.01041928119957447,
0.02321394346654415,
-0.014459227211773396,
-0.02089254930615425,
-0.002708293264731765,
-0.0055245584808290005,
0.024887505918741226,
0.0039049810729920864,
0.0046697817742824554,
-0.02645309828221798,
-0.026974961161613464,
0.009618490003049374,
-0.020298704504966736,
-0.0341910794377327,
0.02051464654505253,
0.014018342830240726,
-0.029422324150800705,
0.015233025886118412,
0.05272624269127846,
0.016186777502298355,
0.0044898283667862415,
-0.030520036816596985,
-0.05056680738925934,
-0.029116403311491013,
-0.003988209646195173,
0.00186701281927526,
-0.005088172387331724,
-0.024707553908228874,
-0.02404172718524933,
-0.02650708332657814,
-0.00115394894964993,
-0.01594384014606476,
0.0067482395097613335,
-0.00720262061804533,
0.03307536989450455,
0.0052546290680766106,
0.013991349376738071,
-0.045672085136175156,
-0.02762279286980629,
0.03563070297241211,
-0.0007383698248304427,
-0.026111187413334846,
0.05074676126241684,
-0.0029264865443110466,
0.008286837488412857,
-0.018823089078068733,
-0.010761192068457603,
-0.00003739649400813505,
0.0038779880851507187,
0.012839649803936481,
-0.03811405599117279,
-0.01389237493276596,
0.018985046073794365,
0.049019210040569305,
0.09120020270347595,
-0.028396591544151306,
-0.026992958039045334,
-0.0064063286408782005,
0.03922976553440094,
0.005956445820629597,
0.006388333160430193,
-0.0015869609778746963,
0.0007327463245019317,
0.014702163636684418,
-0.03545074909925461,
0.023429887369275093,
-0.00372952688485384,
0.016096800565719604,
0.013055593706667423,
0.037358254194259644,
-0.05168251693248749,
-0.0074905455112457275,
-0.004521320108324289,
0.04678779095411301,
0.018895069137215614,
-0.04358462989330292,
0.015134051442146301,
0.02650708332657814,
-0.033939145505428314,
-0.005052181892096996,
0.007355581037700176,
-0.01961488276720047,
-0.009357558563351631,
-0.018949056044220924,
0.010203338228166103,
0.028342604637145996,
-0.014117316342890263,
-0.003682289272546768,
0.01690658926963806,
0.03886985778808594,
-0.040921323001384735,
-0.03242753818631172,
0.018949056044220924,
0.021072501316666603,
0.03998556733131409,
0.0011899395612999797,
0.06089610978960991,
-0.012875640764832497,
-0.023501867428421974,
0.04282882437109947,
0.01651069149374962,
-0.03242753818631172,
0.0319596603512764,
0.010176344774663448,
0.03699834644794464,
-0.021360427141189575,
0.028612535446882248,
-0.01941693387925625,
-0.012515734881162643,
-0.05060279741883278,
0.029710248112678528,
0.03836598992347717,
0.004600049927830696,
0.014738154597580433,
0.034982871264219284,
0.010986133478581905,
0.02436564303934574,
0.005551551468670368,
0.0436566099524498,
0.027928713709115982,
0.07759575545787811,
0.0022595354821532965,
-0.03354324772953987,
-0.0028635028284043074,
0.009726461954414845,
-0.017482439056038857,
-0.0029309852980077267,
0.016240762546658516,
0.02533738873898983,
0.013127574697136879,
-0.01624976098537445,
0.013127574697136879,
-0.011786924675107002,
-0.001391262048855424,
0.008808701299130917,
0.022098233923316002,
-0.02537338063120842,
0.02519342675805092,
0.015403981320559978,
-0.06575484573841095,
0.023591844365000725,
-0.05272624269127846,
-0.04232495650649071,
-0.02166634611785412,
0.0319596603512764,
-0.0092405891045928,
0.06521498411893845,
-0.03775414824485779,
-0.029098408296704292,
0.025085454806685448,
-0.012983612716197968,
-0.02994418703019619,
-0.006437820382416248,
-0.011211074888706207,
0.011759931221604347,
0.02199026197195053,
0.00988841988146305,
0.014153307303786278,
0.0032593996729701757,
-0.01218282151967287,
0.005385094787925482,
-0.008642245084047318,
0.04063339903950691,
-0.001050475868396461,
0.037646178156137466,
0.04750760644674301,
0.01791432499885559,
0.01493610255420208,
0.013127574697136879,
-0.027424843981862068,
-0.0032728961668908596,
-0.026165172457695007,
-0.03667443245649338,
0.04635590687394142,
-0.024527600035071373,
-0.021702338010072708,
0.02980022504925728,
0.026705032214522362,
-0.03453299030661583,
0.014603190124034882,
-0.01626775600016117,
0.08659340441226959,
-0.04272085428237915,
-0.044448401778936386,
0.01974084973335266,
0.006014930550009012,
0.04290080815553665,
-0.0003149178228341043,
-0.00302546052262187,
0.006158892996609211,
-0.06233573704957962,
0.014693166129291058,
0.003603559685871005,
0.03832999989390373,
-0.03590063378214836,
-0.0001923248200910166,
-0.023879770189523697,
0.008525275625288486,
0.01570090278983116,
-0.008835694752633572,
-0.017428452149033546,
0.09753455221652985,
0.003495587967336178,
0.06179587543010712,
0.01685260236263275,
-0.007220616098493338,
-0.030304092913866043,
0.015925845131278038,
-0.03118586353957653,
0.027226896956562996,
0.02296200953423977,
-0.02173832803964615,
0.020964529365301132,
-0.00010241859126836061,
0.04696774482727051,
0.06406328827142715,
0.009816438890993595,
-0.0005887838779017329,
-0.008817699737846851,
0.006842714734375477,
0.017266495153307915,
-0.006410827394574881,
0.027406848967075348,
0.058196816593408585,
-0.023825783282518387,
0.003617056179791689,
-0.013919368386268616,
-0.02427566610276699,
-0.009987394325435162,
-0.038761887699365616,
0.019884811714291573,
-0.0049082194454967976,
0.0006692003807984293,
0.011912891641259193,
0.04185707867145538,
0.02537338063120842,
0.020046768710017204,
-0.013091584667563438,
-0.02087455429136753,
-0.0016386974602937698,
0.0074905455112457275,
-0.01575488969683647,
-0.039589669555425644,
-0.026902981102466583,
0.01208384707570076,
0.05960045009851456,
-0.028108665719628334,
-0.042109012603759766,
0.0016904339427128434,
0.008349820971488953,
-0.02431165613234043,
0.009195600636303425,
-0.01948891580104828,
0.0051826476119458675,
0.03818603605031967,
-0.05891662836074829,
0.035198815166950226,
-0.0046067978255450726,
0.013109579682350159,
-0.01972285471856594,
0.027946708723902702,
0.027298877015709877,
0.05067477747797966,
-0.015763886272907257,
0.0005519497208297253,
0.010059375315904617,
-0.007697491440922022,
0.027370858937501907,
-0.0009464405593462288,
0.015799878165125847,
-0.060608185827732086,
0.015215029940009117,
-0.03550473600625992,
-0.02870251052081585,
0.022710073739290237,
-0.054957661777734756,
0.026848994195461273,
0.00028469134122133255,
0.0008064145804382861,
0.022782055661082268,
-0.028018688783049583,
0.007301595062017441,
0.028630530461668968,
-0.012911630794405937,
0.028036685660481453,
-0.011049116961658001,
0.01146300882101059,
0.02092853933572769,
-0.020442666485905647,
-0.010698208585381508,
0.03948169946670532,
0.0014643679605796933,
-0.06233573704957962,
-0.016771623864769936,
-0.031815700232982635,
-0.03807806596159935,
-0.007787467911839485,
0.017959313467144966,
0.0033898656256496906,
0.004267136566340923,
0.032697468996047974,
-0.023627834394574165,
0.028450576588511467,
0.0015734644839540124,
0.014873119071125984,
-0.0229440126568079,
0.021270450204610825,
0.02078457735478878,
0.06514300405979156,
-0.00026402485673315823,
0.014846126548945904,
0.016060808673501015,
-0.010194339789450169,
-0.02404172718524933,
-0.04236094653606415,
0.007423063274472952,
-0.04120924696326256,
0.012029861100018024,
-0.004845235962420702,
-0.05675719305872917,
-0.04243293032050133,
0.030304092913866043,
0.01603381708264351,
-0.023897765204310417,
-0.011364035308361053,
-0.032913412898778915,
0.03689037635922432,
-0.004046694375574589,
0.014261279255151749,
-0.020334694534540176,
-0.020298704504966736,
-0.013514474034309387,
0.037358254194259644,
-0.012209814041852951,
-0.003934223670512438,
0.030430059880018234,
-0.025967225432395935,
-0.004962205421179533,
-0.016969572752714157,
0.007405067794024944,
-0.0440165139734745,
-0.009339563548564911,
-0.015790879726409912,
-0.031437795609235764,
-0.016339736059308052,
0.04761557653546333,
-0.0078234588727355,
-0.021576371043920517,
0.003380867885425687,
-0.01101312693208456,
0.0031604254618287086,
0.01545796636492014,
0.00029889075085520744,
-0.06298356503248215,
-0.015394982881844044,
-0.00925858411937952,
0.04272085428237915,
-0.028270624577999115,
-0.013586455024778843,
0.041065286844968796,
-0.001987356459721923,
-0.015188037417829037,
-0.02873850241303444,
0.011921889148652554,
-0.04707571864128113,
0.012992610223591328,
0.03206763416528702,
-0.04628392308950424,
-0.028306614607572556,
-0.008669238537549973,
-0.0027015451341867447,
0.009699469432234764,
0.005326610058546066,
-0.047759540379047394,
0.0039027316961437464,
-0.01945292390882969,
-0.0028522557113319635,
-0.054561764001846313,
-0.007580521982163191,
0.024905500933527946,
0.002769027603790164,
-0.02992619201540947,
0.00871872529387474,
-0.018247239291667938,
0.036260537803173065,
-0.010257323272526264,
0.011265060864388943,
-0.0574050210416317,
0.014432234689593315,
-0.00888518150895834,
-0.01557493582367897,
-0.01663665845990181,
-0.00093238172121346,
0.026129182428121567,
0.01493610255420208,
0.05272624269127846,
0.030304092913866043,
0.011831913143396378,
0.04711170867085457,
0.011112100444734097,
0.021072501316666603,
-0.036548465490341187,
0.005286120809614658,
-0.042109012603759766,
-0.0314737893640995,
0.006338845938444138,
0.030448054894804955,
-0.038545943796634674,
0.022386159747838974,
-0.036368511617183685,
0.0555335097014904,
-0.010995130985975266,
0.026992958039045334,
-0.04531217738986015,
-0.019218984991312027,
-0.06748238950967789,
0.022782055661082268,
-0.01089615747332573,
-0.01974084973335266,
-0.0028522557113319635,
0.03782613202929497,
-0.025553332641720772,
0.020154740661382675,
0.006856210995465517,
0.007805463392287493,
0.004647287540137768,
-0.06672658771276474,
-0.005236633587628603,
-0.017563417553901672,
-0.00042035907972604036,
0.003596811555325985,
0.009186603128910065,
-0.04592401906847954,
0.01795031689107418,
-0.020550638437271118,
-0.015610926784574986,
0.011139093898236752,
0.02884647436439991,
0.003698035143315792,
-0.028288619592785835,
0.003983710426837206,
-0.008237350732088089,
-0.02051464654505253,
-0.00015689656720496714,
-0.025157436728477478,
-0.05668520927429199,
-0.0016476950841024518,
0.009663478471338749,
0.038653913885354996,
0.04063339903950691,
0.009101125411689281,
-0.030592018738389015,
0.01612379215657711,
0.016609666869044304,
0.025751281529664993,
-0.019830826669931412,
0.025049464777112007,
0.042145002633333206,
-0.036242544651031494,
-0.015970833599567413,
0.010536250658333302,
0.006415326148271561,
0.030879942700266838,
0.007234112359583378,
0.02051464654505253,
-0.0014609937788918614,
0.01441423874348402,
0.0025845756754279137,
-0.026723027229309082,
-0.03113187663257122,
-0.05272624269127846,
-0.012641701847314835,
-0.019147004932165146,
0.051322609186172485,
-0.029080413281917572
] |
We consider the task of evaluating policies of algorithmic resource
allocation through randomized controlled trials (RCTs). Such policies are
tasked with optimizing the utilization of limited intervention resources, with
the goal of maximizing the benefits derived. Evaluation of such allocation
policies through RCTs proves difficult, notwithstanding the scale of the trial,
because the individuals' outcomes are inextricably interlinked through resource
constraints controlling the policy decisions. Our key contribution is to
present a new estimator leveraging our proposed novel concept, that involves
retrospective reshuffling of participants across experimental arms at the end
of an RCT. We identify conditions under which such reassignments are
permissible and can be leveraged to construct counterfactual trials, whose
outcomes can be accurately ascertained, for free. We prove theoretically that
such an estimator is more accurate than common estimators based on sample means
-- we show that it returns an unbiased estimate and simultaneously reduces
variance. We demonstrate the value of our approach through empirical
experiments on synthetic, semi-synthetic as well as real case study data and
show improved estimation accuracy across the board. | [
-0.0532396025955677,
-0.01572817750275135,
-0.035299357026815414,
-0.0142847103998065,
-0.002226127777248621,
-0.0066690100356936455,
-0.030069127678871155,
0.03346221521496773,
-0.04686584696173668,
0.03985471650958061,
-0.002786174649372697,
-0.037848856300115585,
0.03188752382993698,
-0.06579964607954025,
0.04202929139137268,
-0.012231986038386822,
-0.010216754861176014,
0.006453427020460367,
0.010769771412014961,
-0.045853544026613235,
0.00229876977391541,
-0.006158172152936459,
-0.007760984357446432,
-0.0060128881596028805,
0.02060222625732422,
0.02590744011104107,
-0.021389571949839592,
0.004304627887904644,
-0.021801991388201714,
0.01815582811832428,
0.016449911519885063,
0.05188986659049988,
-0.022720562294125557,
-0.05166490748524666,
0.009382542222738266,
0.0033274751622229815,
0.015578207559883595,
0.035486817359924316,
0.008801406249403954,
0.035805508494377136,
-0.06002577766776085,
0.06482484191656113,
-0.021539542824029922,
0.016478031873703003,
0.021745752543210983,
-0.024951376020908356,
-0.03346221521496773,
-0.003964850679039955,
-0.013309900648891926,
0.0022108962293714285,
0.019814880564808846,
-0.02571997605264187,
0.07783479988574982,
0.03138137236237526,
-0.028138253837823868,
0.02341417782008648,
0.025644991546869278,
0.012644405476748943,
0.021539542824029922,
-0.016281194984912872,
0.005623901728540659,
0.014106620103120804,
-0.01571880467236042,
0.009963679127395153,
0.035074397921562195,
-0.050952550023794174,
-0.019093146547675133,
0.048515524715185165,
0.029525483027100563,
-0.0104698296636343,
-0.032843586057424545,
0.04195430502295494,
-0.01020738109946251,
0.0020960750989615917,
-0.019289981573820114,
0.004149970598518848,
0.05548916384577751,
-0.03721148148179054,
-0.006350322160869837,
0.04514118283987045,
0.029844170436263084,
0.07026127725839615,
-0.019346222281455994,
-0.017330989241600037,
0.06411247700452805,
0.000007766732778691221,
0.01860574074089527,
-0.06621206551790237,
0.012428822927176952,
-0.01193204429000616,
-0.09245694428682327,
-0.019121265038847923,
0.0034891623072326183,
0.01615934446454048,
-0.02650732360780239,
0.0257762148976326,
0.016984183341264725,
-0.006917398888617754,
-0.008281195536255836,
0.014209724962711334,
-0.012194492854177952,
-0.02347041666507721,
-0.05027768015861511,
-0.013966022059321404,
0.03936731070280075,
-0.01818394847214222,
-0.048253074288368225,
0.019018160179257393,
0.050727590918540955,
0.15791915357112885,
-0.018661979585886,
0.012250732630491257,
-0.027763327583670616,
0.03194376081228256,
-0.072210893034935,
-0.057138841599226,
-0.04491622745990753,
-0.06486233323812485,
0.006781488191336393,
-0.013122436590492725,
-0.011941418051719666,
0.06471236050128937,
-0.006045693997293711,
0.024876391515135765,
-0.024707674980163574,
0.01819332130253315,
-0.019233742728829384,
0.019308729097247124,
0.04165436327457428,
0.013909783214330673,
-0.011004100553691387,
-0.02399531379342079,
-0.035411834716796875,
-0.06932395696640015,
-0.01594376191496849,
0.020246045663952827,
0.014228470623493195,
0.0016403045738115907,
-0.037717632949352264,
-0.017809022217988968,
-0.0038992385379970074,
-0.022533098235726357,
-0.048515524715185165,
-0.012681897729635239,
-0.03936731070280075,
-0.027369653806090355,
0.000046609548007836565,
0.048328060656785965,
-0.005450497847050428,
0.01584065519273281,
-0.029637960717082024,
0.08008436113595963,
0.004135910887271166,
0.10235501080751419,
0.026676040142774582,
-0.035730522125959396,
-0.009841827675700188,
-0.0015454012900590897,
0.009246631525456905,
-0.03106268309056759,
0.03736145421862602,
0.035299357026815414,
-0.025588752701878548,
0.06823667138814926,
0.06654950231313705,
0.03902987763285637,
-0.01568131148815155,
-0.046153485774993896,
-0.03717399016022682,
0.0428166389465332,
0.012157000601291656,
-0.04341651871800423,
-0.01883069798350334,
0.027257176116108894,
0.027650849893689156,
0.03747393190860748,
-0.0011739894980564713,
0.01560632698237896,
0.00010127416317118332,
-0.014003515243530273,
-0.01188517827540636,
0.010479203425347805,
-0.014162858948111534,
0.014022260904312134,
0.0021652020514011383,
0.013609841465950012,
0.07397305220365524,
-0.04491622745990753,
0.03121265396475792,
0.000908025773242116,
0.017330989241600037,
0.021670768037438393,
-0.012082015164196491,
0.038280025124549866,
0.027575863525271416,
-0.03709900379180908,
-0.02101464569568634,
-0.035111892968416214,
0.059013474732637405,
0.013816051185131073,
-0.051102519035339355,
-0.040379613637924194,
0.013356766663491726,
0.02099590003490448,
0.0038031635340303183,
-0.009246631525456905,
0.04735325276851654,
-0.004845928400754929,
0.01559695415198803,
-0.09118219465017319,
-0.05158992484211922,
-0.0021323959808796644,
-0.03117516078054905,
0.024820152670145035,
-0.023020504042506218,
-0.016403045505285263,
0.021839484572410583,
0.04866549372673035,
-0.02084592916071415,
0.017584064975380898,
-0.03835500776767731,
0.008126538246870041,
0.026882249861955643,
-0.01802460476756096,
0.024445226415991783,
0.04480374976992607,
0.029263034462928772,
0.017434094101190567,
0.030425308272242546,
0.02058348059654236,
-0.013422378338873386,
0.024445226415991783,
-0.027125952765345573,
-0.0037867603823542595,
0.019055653363466263,
-0.0359179861843586,
-0.01178207341581583,
0.03833626210689545,
0.04424135759472847,
-0.022720562294125557,
-0.07018629461526871,
0.027688341215252876,
-0.019308729097247124,
0.014978324994444847,
0.05747627466917038,
-0.010141769424080849,
0.007671939209103584,
0.06572466343641281,
0.07382307946681976,
0.037998829036951065,
-0.06325014680624008,
-0.022739307954907417,
-0.05702636018395424,
0.01824018731713295,
-0.02628236636519432,
0.060925599187612534,
-0.022645577788352966,
-0.06951142102479935,
-0.007545401342213154,
-0.029769185930490494,
0.07284827530384064,
0.0065096658654510975,
-0.04720328003168106,
0.008065612055361271,
-0.0016379613662138581,
0.019252490252256393,
0.030369069427251816,
-0.005370825994759798,
-0.017527826130390167,
0.027519624680280685,
-0.0517398938536644,
-0.07172349095344543,
-0.02894434705376625,
-0.023020504042506218,
0.03709900379180908,
-0.06223784387111664,
-0.010132395662367344,
-0.019871119409799576,
0.02337668463587761,
0.00580667844042182,
-0.022889278829097748,
-0.002394844777882099,
0.009237258695065975,
0.01049795001745224,
-0.055789101868867874,
-0.02320796810090542,
0.03299355506896973,
-0.01445342693477869,
-0.03749267756938934,
-0.004581136628985405,
0.0035407147370278835,
-0.06651201099157333,
0.017330989241600037,
0.002713532419875264,
0.032693613320589066,
-0.03576801344752312,
-0.04529115557670593,
-0.012194492854177952,
0.008970122784376144,
0.0322999432682991,
-0.040529582649469376,
-0.03578675910830498,
0.026544814929366112,
0.074647918343544,
-0.03599296882748604,
-0.008759226649999619,
-0.007934387773275375,
0.03977973014116287,
-0.0010697129182517529,
-0.014125365763902664,
0.035730522125959396,
-0.0032478030771017075,
-0.00012631810386665165,
-0.03599296882748604,
0.01584065519273281,
0.03989220783114433,
0.027969537302851677,
-0.051140010356903076,
-0.002516695996746421,
-0.013384886085987091,
-0.012100761756300926,
-0.010676039382815361,
-0.0884077325463295,
0.008646748960018158,
0.014228470623493195,
-0.02862565964460373,
0.0029291154351085424,
0.06568717211484909,
-0.007531341630965471,
-0.0004030462878290564,
-0.03962976112961769,
0.010376098565757275,
-0.0692489743232727,
-0.028007030487060547,
-0.05582659691572189,
-0.01851200871169567,
-0.024089045822620392,
0.006237844005227089,
-0.015062683261930943,
0.004440539050847292,
-0.04607849940657616,
-0.03940480202436447,
0.005516109988093376,
0.03359343856573105,
0.022401874884963036,
-0.026732278987765312,
-0.01598125323653221,
0.012747510336339474,
0.017246631905436516,
0.014537785202264786,
0.0009935559937730432,
-0.030725248157978058,
-0.013403631746768951,
0.03342472016811371,
0.05065260827541351,
-0.023732865229249,
0.014472173526883125,
0.03342472016811371,
0.004363210406154394,
-0.040642060339450836,
0.059050966054201126,
-0.05721382424235344,
-0.0791095495223999,
0.04229173809289932,
-0.071648508310318,
0.038092561066150665,
0.03207498416304588,
0.014743994921445847,
-0.023732865229249,
-0.015053309500217438,
-0.01161335688084364,
0.015334504656493664,
0.04127943888306618,
-0.04274165257811546,
-0.035711776465177536,
-0.028175747022032738,
-0.007043936755508184,
-0.007334505207836628,
-0.06021323800086975,
0.03857996314764023,
0.015343878418207169,
-0.028269479051232338,
0.01430345606058836,
0.02892560139298439,
0.019383713603019714,
-0.016946690157055855,
0.03749267756938934,
0.02097715251147747,
-0.009982425719499588,
0.016421793028712273,
-0.012082015164196491,
-0.014734622091054916,
-0.011200937442481518,
-0.0282882247120142,
0.0022905683144927025,
-0.005487990565598011,
0.021352078765630722,
-0.01287873461842537,
0.017762156203389168,
-0.01816520281136036,
-0.02851318009197712,
-0.008234329521656036,
-0.053314585238695145,
0.05773872137069702,
0.026919743046164513,
0.00402811961248517,
-0.05020269379019737,
-0.0023339190520346165,
0.029731692746281624,
0.00719859404489398,
-0.009654364548623562,
0.03693028539419174,
-0.005801992025226355,
0.005164616275578737,
0.013122436590492725,
0.037342704832553864,
-0.05436438322067261,
-0.02890685386955738,
0.0238265972584486,
-0.055789101868867874,
-0.019777387380599976,
-0.013422378338873386,
0.04521616920828819,
0.022026948630809784,
-0.010141769424080849,
-0.00028427064535208046,
-0.003964850679039955,
-0.035036906599998474,
-0.012531927786767483,
-0.004986525978893042,
0.05548916384577751,
0.055976565927267075,
-0.03479320555925369,
-0.004487404599785805,
0.0015840656124055386,
0.03117516078054905,
-0.024220269173383713,
-0.010226127691566944,
-0.046003516763448715,
-0.029469244182109833,
0.03921734169125557,
-0.022626830264925957,
-0.05458933860063553,
0.02324545942246914,
-0.01035735197365284,
-0.03091271221637726,
-0.02393907494843006,
-0.021989455446600914,
-0.04221675544977188,
-0.0018535442650318146,
-0.0822589322924614,
0.035224370658397675,
-0.06576215475797653,
-0.010085530579090118,
0.012869361788034439,
-0.002943175146356225,
0.0320187471807003,
-0.058451082557439804,
0.04427885264158249,
0.0130755715072155,
-0.027894550934433937,
0.022364381700754166,
0.0026362037751823664,
-0.056201521307229996,
0.022401874884963036,
0.03091271221637726,
-0.03929232433438301,
-0.022945517674088478,
0.0021570005919784307,
0.013562976382672787,
-0.056538958102464676,
0.00917164608836174,
-0.061562977731227875,
-0.021389571949839592,
0.016843585297465324,
0.01849326305091381,
0.015540714375674725,
-0.05488928034901619,
0.010760398581624031,
-0.05485178530216217,
-0.027425892651081085,
-0.0026807263493537903,
0.03869244456291199,
-0.030650263652205467,
0.07228588312864304,
0.012410076335072517,
0.008374926634132862,
0.022701816633343697,
0.006879906170070171,
-0.021764498203992844,
-0.016346806660294533,
-0.024651436135172844,
-0.04232923313975334,
0.03850498050451279,
-0.01825893297791481,
0.005159929860383272,
-0.0580761581659317,
-0.05702636018395424,
-0.004888108000159264,
-0.027069712057709694,
0.03604920953512192,
-0.013591095805168152,
-0.04806561395525932,
-0.01825893297791481,
-0.02886936068534851,
-0.050765085965394974,
0.020189806818962097,
-0.024838898330926895,
-0.04382893815636635,
-0.032618630677461624,
0.03621792793273926,
0.0699988305568695,
0.021502049639821053,
-0.03119390830397606,
0.017443468794226646,
0.028325717896223068,
0.020433509722352028,
-0.01796836592257023,
0.02900058589875698,
0.016909196972846985,
0.01562507264316082,
0.01545635610818863,
-0.0038406560197472572,
0.024220269173383713,
-0.056538958102464676,
0.024932630360126495,
0.02052723988890648,
0.00901230238378048,
0.04877797141671181,
-0.028063269332051277,
-0.013544229790568352,
0.08510837703943253,
-0.018774457275867462,
-0.03992970287799835,
-0.025382542982697487,
-0.019214997068047523,
0.02896309271454811,
0.016581136733293533,
-0.01878383196890354,
-0.04956531897187233,
0.022326888516545296,
0.06748682260513306,
0.04015465825796127,
-0.017077915370464325,
-0.0013415348948910832,
0.012456942349672318,
0.0035125950817018747,
-0.004086701665073633,
-0.004710017703473568,
0.011069713160395622,
-0.043191563338041306,
0.00941534899175167,
-0.03153134137392044,
0.013900410383939743,
-0.0011857058852910995,
-0.043379027396440506,
-0.008262448944151402,
-0.0005287053063511848,
0.024089045822620392,
-0.017115406692028046,
-0.009935559704899788,
-0.005103690549731255,
0.027332162484526634,
-0.019571177661418915,
-0.013731692917644978,
-0.01811833679676056,
0.004330404102802277,
0.08555828779935837,
-0.014162858948111534,
-0.022026948630809784,
0.016356181353330612,
-0.00014740772894583642,
-0.007760984357446432,
-0.024688927456736565,
0.01586877554655075,
0.013731692917644978,
-0.0024323374964296818,
-0.032974809408187866,
-0.04502870514988899,
-0.02362038753926754,
0.009129466488957405,
-0.024426478892564774,
-0.00015407147293444723,
0.03558054938912392,
0.009031048975884914,
-0.0019250146578997374,
-0.011463386006653309,
0.019721148535609245,
-0.013928529806435108,
-0.005024018697440624,
-0.03672407567501068,
0.01852138340473175,
-0.04649091884493828,
0.013956649228930473,
-0.04750322178006172,
-0.002504979493096471,
0.020358523353934288,
0.002483889926224947,
0.022908026352524757,
-0.004000000189989805,
0.017096661031246185,
0.00810310523957014,
-0.02658230811357498,
0.010001171380281448,
-0.01157586369663477,
0.02063971944153309,
0.007475102320313454,
0.0035079086665064096,
0.0037539543118327856,
0.013572349213063717,
0.027050966396927834,
0.00001431605141988257,
0.0036414763890206814,
-0.02924428880214691,
-0.002652606926858425,
-0.02661980129778385,
0.035299357026815414,
-0.00225307559594512,
-0.00895606353878975,
-0.040342122316360474,
0.05428939685225487,
-0.07933450490236282,
0.040192149579524994,
0.020058581605553627,
-0.019383713603019714,
0.008201522752642632,
-0.043454013764858246,
-0.019008787348866463,
0.002495606429874897,
0.04517867788672447,
-0.07011130452156067,
0.007147041615098715,
-0.027519624680280685,
-0.05987580493092537,
0.00644405372440815,
-0.00585354445502162,
-0.021445810794830322,
0.05271470546722412,
0.006917398888617754,
0.0008687756489962339,
-0.035355594009160995,
0.03955477476119995,
0.029994141310453415,
0.07656005024909973,
-0.006542472168803215,
0.007170474622398615,
0.030669009312987328,
0.008290568366646767,
0.04191681370139122,
0.012053895741701126,
-0.006003514863550663,
0.04255418851971626,
0.013975395821034908,
0.05946338549256325,
-0.040529582649469376,
0.004674868192523718,
0.004145284183323383,
0.024070298299193382,
0.005127123557031155,
0.01581253670156002,
0.019149385392665863,
0.019364967942237854,
0.01840890385210514,
-0.010179261676967144,
0.04540363326668739,
-0.026938488706946373,
0.02395782060921192,
0.035449326038360596,
0.0022226127330213785,
0.03618043288588524,
-0.043229058384895325,
0.01595313474535942,
-0.03111892193555832,
0.053277093917131424,
0.02065846510231495,
-0.000549502030480653,
-0.005656707566231489,
0.053764499723911285,
-0.002697129501029849,
-0.0022952547296881676,
-0.016946690157055855,
-0.019271235913038254,
-0.01459402497857809,
0.0016906853998079896,
-0.0028845928609371185,
-0.01872759312391281,
-0.03683655709028244,
0.06838664412498474,
-0.012841242365539074,
-0.012316344305872917,
-0.03231868892908096,
-0.05170240253210068,
0.010676039382815361,
0.01570005901157856,
0.007179847918450832,
0.00453895702958107,
-0.02860691212117672,
-0.006725248880684376,
0.021595781669020653,
0.024220269173383713,
-0.05215231329202652,
0.01854950189590454,
0.00530521385371685,
0.019327474758028984,
0.0076813120394945145,
0.04724077507853508,
0.01796836592257023,
0.004878734704107046,
-0.04232923313975334,
0.00005052724009146914,
0.01569068618118763,
-0.022608084604144096,
-0.03663034737110138,
0.024107791483402252,
0.03349970653653145,
-0.009405975230038166,
0.0006414762465283275,
-0.02643233723938465,
0.035018160939216614,
0.02378910407423973,
-0.02041476219892502,
0.02330169826745987,
0.006579964887350798,
-0.05571411922574043,
-0.019946103915572166,
0.014809607528150082,
0.01460339780896902,
-0.03117516078054905,
-0.0070908027701079845,
-0.002455770270898938,
-0.013694200664758682,
0.003095489228144288,
-0.017134154215455055,
-0.0024229642003774643,
0.019739894196391106,
0.030650263652205467,
-0.005656707566231489,
0.022664323449134827,
-0.030444053933024406,
-0.01848389022052288,
0.00445928517729044,
-0.0107041597366333,
0.025232572108507156,
-0.007685998920351267,
-0.006556531880050898,
0.02643233723938465,
0.00396953709423542,
0.02118336223065853,
0.029862917959690094,
-0.018877562135457993,
0.00197422388009727,
0.016927944496273994,
-0.022101933136582375,
0.008735793642699718,
-0.058526068925857544,
-0.011013474315404892,
0.0037820737343281507,
-0.0015149385435506701,
0.01809958927333355,
-0.02317047491669655,
-0.019983597099781036,
0.029375512152910233,
0.026657292619347572,
-0.01841827854514122,
0.02343292348086834,
0.02830697037279606,
-0.06471236050128937,
-0.005000585690140724,
0.029731692746281624,
-0.027725834399461746,
-0.00777973048388958,
0.009190392680466175,
-0.00596602214500308,
-0.025232572108507156,
0.03584299981594086,
0.021670768037438393,
0.003386057447642088,
0.01425659004598856,
-0.006603397894650698,
0.03902987763285637,
0.04199180006980896,
0.00180550676304847,
-0.017677797004580498,
0.009026361629366875,
-0.005820738151669502,
0.009701230563223362,
0.0065330988727509975,
-0.009832454845309258,
-0.022983010858297348,
0.01035735197365284,
0.016993556171655655,
-0.030856473371386528,
0.0093544228002429,
-0.03393087163567543,
0.017527826130390167,
-0.05046514421701431,
-0.029825424775481224,
0.0283819567412138,
-0.06684944033622742,
-0.014369068667292595,
0.002097246702760458,
-0.019458699971437454,
-0.025176333263516426,
0.021670768037438393,
0.011894552037119865,
-0.020321030169725418,
-0.01583128236234188,
-0.022233158349990845,
-0.02598242461681366,
0.04491622745990753,
-0.008074985817074776,
0.04232923313975334,
-0.05035266652703285,
0.005450497847050428,
0.03678031638264656,
-0.03424955904483795,
0.013544229790568352,
0.01600937359035015,
-0.03419332206249237,
-0.01828705333173275,
-0.02063971944153309,
-0.047840654850006104,
0.01575629785656929,
0.030406560748815536,
-0.012044522911310196,
-0.008646748960018158,
-0.021577036008238792,
-0.003917984664440155,
0.03842999413609505,
-0.006115993019193411,
0.02607615664601326,
0.06081312149763107,
-0.022214410826563835,
0.004396016243845224,
-0.01579379104077816,
0.02107088454067707,
-0.027163444086909294,
-0.016656121239066124,
-0.0033719977363944054,
0.03962976112961769,
0.025045108050107956,
-0.026769772171974182,
-0.05503924936056137,
-0.008745167404413223,
0.010104276239871979,
-0.0515524297952652,
-0.024276508018374443,
0.06175043806433678,
-0.013975395821034908,
-0.05537668243050575,
0.03668658435344696,
0.0211271233856678,
-0.02590744011104107,
0.007357937749475241,
0.01614997163414955,
0.02101464569568634,
-0.0025752782821655273,
0.006879906170070171,
-0.04529115557670593,
0.030893966555595398,
-0.01329115405678749,
0.043041594326496124,
0.016468659043312073,
-0.04682835564017296,
0.03846748545765877,
0.06684944033622742,
-0.030237844213843346,
-0.07468540966510773,
-0.0312688909471035,
-0.043454013764858246,
0.006383128464221954,
0.03468072786927223,
0.000987111940048635,
0.0044194492511451244,
-0.00006868775381008163,
0.045966021716594696,
0.046153485774993896,
0.0027838312089443207,
-0.01292560063302517,
-0.03325600549578667,
0.002596367849037051,
0.0424417108297348,
0.01805272325873375,
-0.03087521903216839,
0.032656121999025345,
-0.019271235913038254,
-0.006101933307945728,
-0.03138137236237526,
-0.00804217904806137,
-0.056426480412483215,
-0.009916813112795353,
0.03569302707910538,
-0.04892794415354729,
-0.037642646580934525,
0.0032923256512731314,
-0.0057363794185221195,
-0.0515524297952652,
-0.02378910407423973,
0.023001758381724358,
0.03140011802315712,
-0.006303456146270037,
-0.0214083194732666,
-0.050802577286958694,
-0.003503222018480301,
0.011547744274139404,
0.014097246341407299,
-0.028007030487060547,
0.00528178084641695,
0.06921148300170898,
-0.02841944992542267,
0.005323959980159998,
-0.021464558318257332,
0.03766139596700668,
-0.007718804758042097,
0.02362038753926754,
-0.012513181194663048,
-0.06051317974925041,
-0.012588166631758213,
0.0020761569030582905,
-0.05132747441530228,
0.027238430455327034,
0.04975278303027153,
0.032187461853027344,
0.006622144021093845,
0.017087288200855255,
0.03670533001422882,
0.037736378610134125,
0.026601053774356842,
-0.01025424711406231,
0.02123960107564926,
-0.022645577788352966,
0.012531927786767483,
0.013947275467216969,
-0.005084944423288107,
0.008698301389813423,
0.09013239294290543,
-0.01308494433760643,
-0.01563444547355175,
-0.006087873596698046,
-0.009738722816109657,
-0.020321030169725418,
0.015475102700293064,
0.024670181795954704,
0.009860574267804623,
0.004986525978893042,
-0.0211271233856678,
0.011988283134996891,
0.0015758640365675092,
-0.03672407567501068,
0.02911306358873844,
-0.0729607492685318,
-0.0049818395636975765,
0.03351845219731331,
-0.008285881951451302,
-0.04120445251464844,
-0.0006772115011699498,
-0.0259636789560318,
0.02056473307311535,
-0.011050966568291187,
0.04184182733297348,
-0.017715290188789368,
-0.01563444547355175,
-0.0068330406211316586,
-0.019702401012182236,
0.0371364951133728,
0.0007557117496617138,
-0.019702401012182236,
-0.04390392452478409,
-0.019889865070581436,
0.01438781525939703,
-0.017668424174189568,
-0.0013087287079542875,
-0.019121265038847923,
0.013506736606359482,
-0.027969537302851677,
0.015193907544016838,
-0.0008441710378974676,
-0.009031048975884914,
-0.020096074789762497,
0.030369069427251816,
0.04214176908135414,
-0.02097715251147747,
0.01196953747421503,
-0.008838898502290249,
0.0022132396697998047,
-0.020227300003170967,
0.027857059612870216,
-0.02849443443119526,
-0.029862917959690094,
-0.016271822154521942,
0.015287639573216438,
0.00530521385371685,
0.010863503441214561,
-0.04202929139137268,
-0.024763913825154305,
-0.00002987697735079564,
-0.008440539240837097,
-0.01049795001745224,
0.007001757621765137,
-0.0185682475566864,
-0.0005313415313139558,
-0.00530521385371685,
-0.018877562135457993,
0.03404334932565689,
0.07423549890518188,
-0.04514118283987045,
0.058826010674238205,
0.02830697037279606,
-0.022645577788352966,
0.030612770467996597,
-0.005061511415988207,
0.00036760399234481156,
-0.010085530579090118,
-0.004391329828649759,
-0.03104393742978573,
0.029694199562072754,
-0.022420620545744896,
-0.0027393086347728968,
0.035224370658397675,
-0.05218980833888054,
0.0043374341912567616,
-0.04120445251464844,
-0.015212654136121273,
0.00034915056312456727
] |
In recent years, mobile robot navigation approaches have become increasingly
important due to various application areas ranging from healthcare to warehouse
logistics. In particular, Deep Reinforcement Learning approaches have gained
popularity for robot navigation but are not easily accessible to non-experts
and complex to develop. In recent years, efforts have been made to make these
sophisticated approaches accessible to a wider audience. In this paper, we
present Arena-Web, a web-based development and evaluation suite for developing,
training, and testing DRL-based navigation planners for various robotic
platforms and scenarios. The interface is designed to be intuitive and engaging
to appeal to non-experts and make the technology accessible to a wider
audience. With Arena-Web and its interface, training and developing Deep
Reinforcement Learning agents is simplified and made easy without a single line
of code. The web-app is free to use and openly available under the link stated
in the supplementary materials. | [
-0.0056483750231564045,
-0.019967621192336082,
-0.039096418768167496,
-0.08351753652095795,
0.05288228392601013,
0.0070160203613340855,
0.009856163524091244,
0.03836700692772865,
-0.0537211075425148,
0.006386903580278158,
0.003574112895876169,
0.007873077876865864,
0.0060541098937392235,
-0.01829909346997738,
-0.035814069211483,
0.04226935654878616,
0.00024973772815428674,
-0.001976247411221266,
-0.02552937902510166,
-0.0560552217066288,
0.01030292734503746,
0.01994938589632511,
-0.04704699665307999,
0.039752889424562454,
0.05054816976189613,
-0.0026600700803101063,
-0.0021711369045078754,
-0.0010855684522539377,
-0.0411752387881279,
0.04981875792145729,
0.047010526061058044,
0.019803503528237343,
-0.02076997235417366,
0.020551148802042007,
-0.019694091752171516,
-0.014497039839625359,
0.005356610752642155,
0.0322217233479023,
-0.013858805410563946,
0.054450515657663345,
0.071628138422966,
-0.024034086614847183,
-0.01994938589632511,
-0.014168805442750454,
-0.007481019478291273,
-0.038731712847948074,
0.00028620826196856797,
-0.0013687849277630448,
-0.016284096986055374,
0.0014964318834245205,
-0.012491160072386265,
-0.02262997068464756,
0.06834579259157181,
-0.010421456769108772,
-0.017013506963849068,
0.0022429381497204304,
0.005424993112683296,
0.033662308007478714,
0.0010018001776188612,
0.013785864226520061,
0.028665844351053238,
-0.023104088380932808,
-0.03608759865164757,
0.014205276034772396,
0.004969111178070307,
-0.03364407271146774,
0.03550407290458679,
-0.020022327080368996,
-0.003134187078103423,
-0.006701461970806122,
-0.06736108660697937,
0.021827617660164833,
-0.10357633233070374,
0.01366733480244875,
0.008306165225803852,
-0.020350562408566475,
0.011697925627231598,
0.03138289973139763,
-0.02044173888862133,
-0.0040710242465138435,
0.0005786849069409072,
-0.04102935642004013,
-0.04070112481713295,
-0.06531874090433121,
0.0846845954656601,
-0.03902347758412361,
0.033151719719171524,
-0.07228460907936096,
0.027444081380963326,
-0.06776226311922073,
-0.02886643260717392,
0.025711731985211372,
-0.03389936685562134,
0.00396617129445076,
-0.012937923893332481,
0.005411316640675068,
-0.0604681558907032,
-0.018116740509867668,
-0.00996557530015707,
0.026787612587213516,
0.03072643093764782,
0.050912875682115555,
0.01054910384118557,
0.008793959394097328,
-0.05135052278637886,
-0.0322217233479023,
0.0068792556412518024,
0.008005283772945404,
-0.03550407290458679,
0.07498343288898468,
0.006564697250723839,
-0.04814111441373825,
-0.008201313205063343,
0.011944102123379707,
-0.041430532932281494,
0.04208700358867645,
-0.07159166783094406,
-0.047521114349365234,
0.026240553706884384,
0.005689404439181089,
0.02585761249065399,
0.009245282039046288,
0.014497039839625359,
-0.031656429171562195,
-0.04846934974193573,
-0.01911056414246559,
0.024854673072695732,
-0.005734992679208517,
0.021499384194612503,
0.021335266530513763,
-0.0000571989148738794,
-0.027097612619400024,
-0.01864556409418583,
-0.0012035277904942632,
0.03037996031343937,
0.062401093542575836,
-0.016329685226082802,
-0.04015406593680382,
-0.026112906634807587,
0.0465364083647728,
-0.0462811142206192,
-0.04084700718522072,
-0.055799927562475204,
0.05153287574648857,
-0.006195432972162962,
0.05098581686615944,
-0.01754233054816723,
0.01956644468009472,
-0.06717873364686966,
0.005844403989613056,
-0.062072861939668655,
0.04832346737384796,
0.001102664042264223,
0.020970560610294342,
0.03526701405644417,
-0.019839974120259285,
-0.024088792502880096,
0.03072643093764782,
-0.030945254489779472,
-0.040445830672979355,
0.04321759194135666,
-0.032495252788066864,
0.007029696833342314,
0.05944698303937912,
0.03935171291232109,
0.01829909346997738,
0.0576963946223259,
-0.01553644984960556,
-0.06743402779102325,
0.029687020927667618,
-0.07294107973575592,
-0.05641992762684822,
0.006988667417317629,
0.055471692234277725,
0.008593371137976646,
0.02159056067466736,
0.0035763923078775406,
-0.00853410642594099,
-0.019274679943919182,
-0.021244090050458908,
-0.06911167502403259,
-0.014378510415554047,
0.011852925643324852,
0.06593874096870422,
0.0140138054266572,
0.029267609119415283,
0.08169401437044144,
-0.0011761749628931284,
0.017669977620244026,
-0.019493503496050835,
-0.014652039855718613,
0.00207996042445302,
-0.03056231327354908,
-0.007918666116893291,
0.01706821285188198,
-0.05842580646276474,
-0.00360830407589674,
0.05736815929412842,
0.006063227541744709,
-0.0022725705057382584,
-0.03089054860174656,
-0.015791743993759155,
0.028064081445336342,
-0.000894667929969728,
-0.003637936431914568,
0.06699638068675995,
0.037601128220558167,
-0.018609093502163887,
0.010512633249163628,
-0.08307988941669464,
-0.026933494955301285,
0.004494993947446346,
-0.06743402779102325,
-0.023432321846485138,
-0.06364109367132187,
-0.021754678338766098,
-0.0071071963757276535,
-0.038403477519750595,
-0.0029723490588366985,
-0.001669666962698102,
-0.003637936431914568,
0.0036949217319488525,
-0.013840570114552975,
-0.00980145763605833,
-0.056638751178979874,
-0.012719101272523403,
0.0753481388092041,
0.007804695516824722,
0.02281232364475727,
0.0053794048726558685,
-0.020405268296599388,
-0.04121170938014984,
0.03661642223596573,
0.007239402271807194,
-0.02078820765018463,
0.036908186972141266,
0.0651363879442215,
-0.029942313209176064,
-0.028793491423130035,
0.011752631515264511,
-0.018162328749895096,
-0.029012314975261688,
-0.03378995507955551,
-0.038914065808057785,
0.08563283085823059,
-0.006569256074726582,
0.007695284206420183,
0.025037026032805443,
0.06845520436763763,
-0.021754678338766098,
-0.005087640602141619,
-0.006008521653711796,
-0.08286106586456299,
-0.020514678210020065,
-0.030361725017428398,
0.05335640162229538,
0.08132930845022202,
-0.05430463328957558,
0.03371701389551163,
0.03548583760857582,
0.013594393618404865,
0.020551148802042007,
0.0216270312666893,
0.056128162890672684,
-0.005561757367104292,
0.00946410559117794,
0.013758511282503605,
0.014962038956582546,
0.00042767406557686627,
-0.026386436074972153,
-0.033534660935401917,
-0.04019053652882576,
0.019457032904028893,
0.03247701749205589,
0.04292582720518112,
-0.02717055194079876,
0.01723233051598072,
0.012144690379500389,
0.07341519743204117,
0.00615896238014102,
0.009682928211987019,
-0.07775519043207169,
0.04102935642004013,
-0.007193814031779766,
-0.057295218110084534,
0.025638790801167488,
0.0027307316195219755,
-0.017597036436200142,
-0.006063227541744709,
0.045187000185251236,
-0.01848144643008709,
-0.012910570949316025,
-0.030835842713713646,
0.03718171641230583,
0.09329164028167725,
0.033315837383270264,
-0.02903055027127266,
-0.037236422300338745,
0.007485578302294016,
0.027079377323389053,
-0.02549290843307972,
-0.017569683492183685,
0.01649380289018154,
-0.0069567556492984295,
0.023085853084921837,
0.016484685242176056,
-0.0012092263204976916,
0.04799523204565048,
0.003533083712682128,
-0.007987048476934433,
0.045332882553339005,
0.020715266466140747,
-0.05186110734939575,
-0.049052875488996506,
0.012983512133359909,
0.056821104139089584,
0.035212308168411255,
-0.002552937949076295,
-0.045332882553339005,
-0.014278216287493706,
0.028902903199195862,
-0.032185252755880356,
-0.100002221763134,
0.05390346050262451,
0.01199880801141262,
0.018609093502163887,
0.03185701742768288,
-0.02160879597067833,
-0.03513936698436737,
-0.0036835246719419956,
-0.05364816635847092,
-0.002776319859549403,
-0.047192879021167755,
0.011023220606148243,
0.015627626329660416,
-0.03938818350434303,
-0.03967994824051857,
-0.014724981039762497,
0.06345874071121216,
-0.0239611454308033,
-0.0285017266869545,
-0.0632399171590805,
0.016758212819695473,
0.0053794048726558685,
0.008465724065899849,
-0.09081164747476578,
0.006464403122663498,
0.013913511298596859,
0.004937199410051107,
0.03515760228037834,
0.001099244924262166,
-0.003626539371907711,
-0.007544843014329672,
0.009737634100019932,
0.05897286534309387,
-0.030288783833384514,
-0.025711731985211372,
-0.019967621192336082,
-0.0621093325316906,
0.02230173535645008,
0.022684676572680473,
-0.0016331963706761599,
-0.04664582014083862,
0.02299467660486698,
-0.06079639121890068,
0.02481820248067379,
-0.017779389396309853,
-0.042962297797203064,
-0.011114397086203098,
-0.0019431959372013807,
0.016384391114115715,
0.011880278587341309,
-0.021663501858711243,
-0.0493081696331501,
0.005753227975219488,
0.0037177158519625664,
-0.0068974909372627735,
0.007116314023733139,
-0.01384968776255846,
-0.0029427167028188705,
-0.0013744834577664733,
0.030471136793494225,
-0.08388224244117737,
0.029522903263568878,
0.028447020798921585,
0.04883405566215515,
0.07571284472942352,
-0.03964347764849663,
0.07286813855171204,
0.052408166229724884,
0.044676411896944046,
0.004709258675575256,
-0.0772446021437645,
-0.015189980156719685,
-0.009500576183199883,
0.005812492221593857,
0.06520932912826538,
-0.024034086614847183,
0.013813217170536518,
-0.03145584091544151,
-0.00494175823405385,
-0.006195432972162962,
0.050402287393808365,
0.003918303642421961,
0.0040983771905303,
0.0016069832490757108,
0.0032777898013591766,
-0.04223288595676422,
-0.018855269998311996,
-0.02058761939406395,
-0.021389972418546677,
-0.0479222908616066,
-0.04547876492142677,
0.04624464735388756,
0.014068511314690113,
0.024562908336520195,
0.022009970620274544,
0.026933494955301285,
-0.03298760578036308,
-0.045697588473558426,
-0.010357633233070374,
0.02481820248067379,
0.03843994811177254,
0.04555170610547066,
-0.0718834325671196,
0.015080568380653858,
-0.014141452498733997,
-0.004741170443594456,
-0.013029100373387337,
-0.024216439574956894,
0.027261728420853615,
0.00333249568939209,
-0.0011379948118701577,
-0.05051169916987419,
-0.0048186699859797955,
0.0023272763937711716,
0.030981725081801414,
0.05879051238298416,
-0.006592050194740295,
-0.014989391900599003,
-0.044822294265031815,
-0.05791521817445755,
-0.01807115226984024,
-0.02483643777668476,
0.02264820598065853,
-0.03528524935245514,
0.011862043291330338,
0.050001110881567,
0.03326113149523735,
-0.024289380759000778,
-0.06685049831867218,
-0.004786758683621883,
-0.05032934620976448,
-0.031036430969834328,
0.033662308007478714,
-0.012700865976512432,
-0.03665289282798767,
0.011451750062406063,
-0.00304073141887784,
-0.01619292050600052,
0.024398792535066605,
0.029997019097208977,
0.04037288948893547,
-0.01741468347609043,
0.020970560610294342,
-0.008825871162116528,
-0.051095228642225266,
-0.049526993185281754,
-0.0028606581036001444,
-0.013284394517540932,
0.006364109460264444,
-0.029285844415426254,
-0.0023637469857931137,
0.03543113172054291,
-0.02819172851741314,
0.032349370419979095,
0.004499552771449089,
-0.05273640155792236,
-0.003539921948686242,
-0.012564101256430149,
0.02025938592851162,
0.042488180100917816,
0.03982583060860634,
-0.012108219787478447,
0.011460867710411549,
-0.029814666137099266,
0.06987755745649338,
-0.005456904415041208,
-0.03895053640007973,
-0.002173416316509247,
0.006190874148160219,
-0.02024115063250065,
-0.0648810938000679,
-0.011643219739198685,
-0.024362321943044662,
-0.04598935320973396,
0.020496442914009094,
-0.042451709508895874,
0.036051128059625626,
0.009217929095029831,
-0.04000818356871605,
-0.0285017266869545,
0.014032040722668171,
-0.012974394485354424,
-0.016384391114115715,
0.05842580646276474,
0.030781136825680733,
0.09883516281843185,
-0.0020480488892644644,
0.0035581570118665695,
0.03785642236471176,
0.0614163912832737,
-0.0059173451736569405,
0.02044173888862133,
0.023158792406320572,
0.006049551069736481,
-0.04949052259325981,
0.019001152366399765,
0.0655740350484848,
0.016812918707728386,
-0.009409399703145027,
0.01584644988179207,
-0.016995271667838097,
0.006013080477714539,
-0.028994079679250717,
0.050402287393808365,
0.00388411246240139,
-0.03185701742768288,
0.02937702089548111,
-0.03306054323911667,
-0.008629841729998589,
0.025073496624827385,
-0.047849349677562714,
-0.05273640155792236,
-0.08103754371404648,
-0.01266439538449049,
0.013475865125656128,
0.0051241107285022736,
0.01606527343392372,
0.013904393650591373,
-0.03090878389775753,
0.06987755745649338,
0.013530571013689041,
0.014606451615691185,
0.006136168260127306,
0.021900558844208717,
0.008406459353864193,
-0.022046441212296486,
-0.019675856456160545,
0.03358936682343483,
0.007677048910409212,
0.009710281156003475,
-0.010886456817388535,
0.019475268200039864,
-0.02076997235417366,
-0.021827617660164833,
-0.014761451631784439,
-0.019201738759875298,
-0.03223995864391327,
-0.03913288936018944,
0.03136466443538666,
-0.018946446478366852,
0.032841723412275314,
0.0032413192093372345,
0.019183503463864326,
-0.051751695573329926,
-0.011041455902159214,
0.020532913506031036,
0.04850582033395767,
0.050037581473588943,
-0.009295429103076458,
-0.012308807112276554,
0.018782328814268112,
-0.001591027365066111,
0.027827022597193718,
-0.020988795906305313,
0.013402923941612244,
-0.013503218069672585,
0.008529547601938248,
-0.04219641536474228,
0.0013174982741475105,
-0.029103491455316544,
0.016448214650154114,
0.023377615958452225,
-0.004777641035616398,
0.007025138009339571,
-0.017086448147892952,
-0.005967492237687111,
0.01115086767822504,
-0.008470282889902592,
-0.015819096937775612,
0.021207619458436966,
0.014734098687767982,
0.04343641549348831,
-0.011770866811275482,
-0.0020617253612726927,
-0.0020628650672733784,
0.03626995161175728,
0.003015657886862755,
-0.09336458146572113,
-0.01653938926756382,
0.01528115663677454,
0.04478582367300987,
0.05149640515446663,
-0.04073759540915489,
-0.008926164358854294,
0.05499757453799248,
0.029449962079524994,
0.044311705976724625,
-0.01250027772039175,
0.005593669135123491,
0.04223288595676422,
0.043509356677532196,
-0.01578262634575367,
-0.00946410559117794,
-0.03242231160402298,
0.0017642624443396926,
0.025766437873244286,
-0.0004407806845847517,
-0.014369392767548561,
-0.024745261296629906,
0.0013152188621461391,
0.028337610885500908,
-0.030015254393219948,
0.004064186010509729,
0.03439171984791756,
0.022174088284373283,
-0.027644669637084007,
0.022374676540493965,
0.014022923074662685,
0.02516467310488224,
0.006947638001292944,
0.001087847864255309,
-0.000827425392344594,
0.006464403122663498,
-0.006737932562828064,
0.010886456817388535,
0.09008223563432693,
0.028939373791217804,
-0.03716348111629486,
-0.00893528200685978,
0.03169289976358414,
0.013840570114552975,
0.08796694129705429,
-0.021499384194612503,
0.01612909696996212,
-0.013712923042476177,
-0.02416173368692398,
0.007927783764898777,
-0.018691152334213257,
-0.011387926526367664,
0.02365114539861679,
0.0291946679353714,
0.022319970652461052,
-0.002411614404991269,
0.008338076993823051,
0.00798248965293169,
-0.003663009963929653,
-0.017086448147892952,
0.02009526826441288,
0.013293512165546417,
-0.006769844330847263,
-0.03362583741545677,
0.016019685193896294,
0.01568233221769333,
-0.008023519068956375,
0.04004465416073799,
0.03938818350434303,
-0.0048961699940264225,
0.006614844314754009,
-0.03475642576813698,
-0.04573405906558037,
-0.023778792470693588,
-0.00814660731703043,
0.008689106442034245,
-0.029504667967557907,
0.02228350006043911,
0.04088347777724266,
-0.0017619830323383212,
0.00030999959562905133,
-0.0004573063924908638,
0.002593967132270336,
-0.021317031234502792,
0.0014155128737911582,
-0.03714524582028389,
-0.017533212900161743,
-0.019128799438476562,
0.06612108647823334,
-0.023505263030529022,
0.005903668701648712,
-0.03172937035560608,
0.009810575284063816,
0.0006507711950689554,
0.05569051578640938,
0.011934984475374222,
0.012345277704298496,
-0.008684547618031502,
-0.0455881766974926,
0.04704699665307999,
-0.04810464382171631,
-0.02107997238636017,
-0.01223586592823267,
-0.006086021661758423,
0.0036949217319488525,
0.0665222629904747,
-0.01721409521996975,
0.013448512181639671,
0.01846321113407612,
-0.03752818703651428,
0.03320642560720444,
0.005516169127076864,
-0.006149844732135534,
-0.019785268232226372,
0.02602173015475273,
0.017615271732211113,
0.004795875865966082,
-0.016922330483794212,
0.01635703817009926,
0.009254399687051773,
0.0411752387881279,
-0.0059173451736569405,
-0.015235568396747112,
0.04292582720518112,
-0.051423463970422745,
-0.05350228399038315,
-0.02111644297838211,
0.0070069027133286,
-0.019365856423974037,
-0.006783520337194204,
-0.009600869379937649,
-0.00645072665065527,
-0.02717055194079876,
0.0005655782879330218,
0.010913808830082417,
-0.021572325378656387,
-0.015755273401737213,
0.020697031170129776,
0.012372630648314953,
-0.013494100421667099,
0.01461556926369667,
-0.018435858190059662,
-0.01054910384118557,
0.023085853084921837,
-0.034865837544202805,
-0.007535725366324186,
-0.020387033000588417,
-0.028337610885500908,
0.016512038186192513,
-0.012390865944325924,
-0.044822294265031815,
0.08191283792257309,
0.026714671403169632,
-0.006058668717741966,
-0.05145993456244469,
-0.024708790704607964,
-0.009290870279073715,
0.013949981890618801,
0.012290571816265583,
-0.0027785992715507746,
0.019675856456160545,
0.006710579618811607,
0.03532171994447708,
0.0017346300883218646,
0.0012696307385340333,
0.024289380759000778,
-0.02771761082112789,
-0.019657621160149574,
0.006008521653711796,
0.03865877166390419,
0.0179070346057415,
0.052772872149944305,
-0.014870863407850266,
0.06473521143198013,
-0.0036105834878981113,
-0.005274551920592785,
-0.0006251278682611883,
0.018654681742191315,
-0.008766606450080872,
-0.07797401398420334,
-0.011269397102296352,
-0.04004465416073799,
-0.0185999758541584,
-0.004982787650078535,
0.04288935661315918,
-0.03238584101200104,
0.006058668717741966,
0.009076605550944805,
-0.023432321846485138,
0.011789102107286453,
0.01892821118235588,
0.011743513867259026,
0.003138745902106166,
-0.03597818687558174,
-0.013211453333497047,
0.030689960345625877,
-0.026605259627103806,
-0.0204599741846323,
0.0055116103030741215,
-0.007148225791752338,
-0.034537602216005325,
-0.006619403138756752,
0.013822334818542004,
-0.040956418961286545,
0.03898700699210167,
0.011743513867259026,
-0.0075585194863379,
-0.0179708581417799,
-0.013202335685491562,
0.004882493522018194,
0.013120276853442192,
0.0075129312463104725,
0.021371737122535706,
-0.05098581686615944,
0.03647053986787796,
-0.01477968692779541,
-0.028264669701457024,
0.022392911836504936,
0.009856163524091244,
0.00830160640180111,
0.019037622958421707,
0.0021164310164749622,
-0.010676750913262367,
-0.008374547585844994,
0.04004465416073799,
-0.015509097836911678,
0.012044396251440048,
0.006623961962759495,
-0.002322717569768429,
-0.013339100405573845,
-0.027298199012875557,
-0.0016297772526741028,
0.06039521470665932,
-0.04157641530036926,
-0.022247029468417168,
0.00009566393418936059,
0.024763496592640877,
0.03464701399207115,
0.03393583744764328,
0.00076018285471946,
0.00197510770522058,
-0.00014602462761104107,
0.004408376757055521,
-0.017733801156282425,
0.003986686002463102,
-0.02665996551513672,
-0.016092626377940178,
-0.011333220638334751,
0.012883218936622143,
0.008944399654865265,
0.03225819393992424,
0.0439470000565052,
0.01839938759803772,
0.02465408481657505,
0.040299948304891586,
-0.02651408314704895,
0.03393583744764328,
0.025237614288926125,
0.0187276229262352,
-0.016612330451607704,
0.004321759101003408,
0.04773993790149689,
-0.010786162689328194,
0.019274679943919182,
-0.0008091900963336229,
0.010603809729218483,
-0.04190465062856674,
0.00424197968095541,
-0.022557029500603676,
-0.022392911836504936,
-0.041102297604084015,
0.026131141930818558,
0.02935878559947014,
-0.04660934954881668,
0.04744817316532135,
-0.023742321878671646,
0.004663670435547829,
-0.0179708581417799,
0.0050329347141087055,
-0.01030292734503746,
-0.030671725049614906,
-0.011114397086203098,
0.03054407797753811,
-0.014497039839625359,
0.023906439542770386,
0.03227642923593521,
0.005051170010119677,
-0.058316394686698914,
-0.02467232011258602,
0.03406348451972008,
-0.01411409955471754,
0.011834690347313881,
0.0015442994190379977,
-0.060358744114637375,
-0.045661117881536484,
0.024599378928542137,
0.02769937552511692,
-0.036051128059625626,
0.01706821285188198,
-0.007918666116893291,
0.03561348468065262,
0.024909378960728645,
-0.007626901846379042,
-0.029997019097208977,
-0.04496817663311958,
0.011953219771385193,
-0.009482340887188911,
-0.016566742211580276,
0.026459377259016037,
0.033188190311193466,
-0.03256819397211075,
-0.029431726783514023,
0.008388224057853222,
0.006569256074726582,
-0.006678667850792408,
0.013320865109562874,
-0.033334072679281235,
-0.019019387662410736,
-0.01706821285188198,
0.05499757453799248,
-0.045150529593229294,
-0.014879980124533176,
-0.008037195540964603,
-0.032841723412275314,
0.009213370271027088,
-0.052444636821746826,
0.009258958511054516,
-0.01741468347609043,
-0.011123514734208584,
-0.018609093502163887,
-0.0078001366928219795,
-0.001054796390235424,
0.030361725017428398,
0.0060541098937392235,
-0.010439692065119743,
-0.0012867262121289968,
-0.030270548537373543,
0.0007909548585303128,
-0.029121726751327515,
-0.020332327112555504,
-0.0043696267530322075,
-0.002205328084528446,
-0.0023500705137848854,
-0.025255849584937096,
0.017815859988331795,
-0.015025862492620945,
-0.008005283772945404,
0.03273231163620949,
0.045187000185251236,
-0.01767909526824951,
0.042998768389225006,
0.004786758683621883,
-0.018454093486070633,
0.004629479255527258,
-0.01663968339562416,
0.002739849267527461,
-0.0007641718257218599,
-0.004882493522018194,
0.0048369052819907665,
-0.024927614256739616,
0.05419522523880005,
-0.01795262284576893,
-0.010275574401021004,
-0.034355249255895615,
-0.008766606450080872,
-0.0014497039373964071,
0.0016035641310736537,
-0.008018960244953632,
-0.024708790704607964,
-0.03767406940460205,
0.02412526309490204,
0.01825350522994995,
-0.0073807258158922195,
0.00978322234004736,
0.019475268200039864,
-0.0204599741846323,
0.006528226658701897,
-0.05386698991060257,
-0.014642922207713127,
-0.03070819564163685,
-0.00004640733823180199,
-0.009664692915976048,
-0.04310818016529083,
-0.03550407290458679,
-0.004759405739605427,
0.012910570949316025,
-0.0019021666375920177,
-0.009135870262980461,
0.011862043291330338,
-0.0034578631166368723,
0.007326019927859306,
-0.005953815765678883,
0.007043373305350542,
0.026805847883224487,
-0.0374552458524704,
-0.002876613987609744,
0.023213498294353485,
0.021572325378656387,
-0.04033641889691353,
0.02614937722682953,
0.028921138495206833,
0.008260577917098999,
-0.04223288595676422,
-0.022009970620274544,
0.038403477519750595,
0.020186444744467735,
0.011615866795182228,
0.03763759881258011,
0.011743513867259026,
0.012554983608424664,
0.03121878206729889,
0.009774104692041874,
0.040299948304891586,
0.024034086614847183,
0.016083508729934692,
0.031018195673823357,
0.02042350359261036,
-0.007777342572808266,
-0.0012308807345107198,
-0.003093157662078738,
-0.050001110881567,
0.026933494955301285,
-0.02129879593849182,
0.05517992749810219,
-0.033042311668395996
] |
Spatially resolved transcriptomics brings exciting breakthroughs to
single-cell analysis by providing physical locations along with gene
expression. However, as a cost of the extremely high spatial resolution, the
cellular level spatial transcriptomic data suffer significantly from missing
values. While a standard solution is to perform imputation on the missing
values, most existing methods either overlook spatial information or only
incorporate localized spatial context without the ability to capture long-range
spatial information. Using multi-head self-attention mechanisms and positional
encoding, transformer models can readily grasp the relationship between tokens
and encode location information. In this paper, by treating single cells as
spatial tokens, we study how to leverage transformers to facilitate spatial
tanscriptomics imputation. In particular, investigate the following two key
questions: (1) $\textit{how to encode spatial information of cells in
transformers}$, and (2) $\textit{ how to train a transformer for transcriptomic
imputation}$. By answering these two questions, we present a transformer-based
imputation framework, SpaFormer, for cellular-level spatial transcriptomic
data. Extensive experiments demonstrate that SpaFormer outperforms existing
state-of-the-art imputation algorithms on three large-scale datasets. | [
0.0021375762298703194,
0.02496582269668579,
-0.02966359630227089,
-0.05025194585323334,
0.03400547802448273,
-0.053241439163684845,
0.016842586919665337,
0.032350581139326096,
-0.03971754387021065,
0.001495858421549201,
-0.017999237403273582,
-0.0016426638467237353,
0.019983334466814995,
0.01035645604133606,
-0.035873912274837494,
0.0015748220030218363,
0.0235422533005476,
-0.006708563771098852,
-0.019413907080888748,
-0.0576900877058506,
-0.015223278664052486,
-0.031247315928339958,
-0.012429527007043362,
-0.01841740868985653,
0.05042989179491997,
0.031104957684874535,
0.0412122905254364,
0.031460851430892944,
-0.025677606463432312,
0.013586175628006458,
0.029592417180538177,
0.014324652031064034,
0.010747937485575676,
-0.05608857423067093,
-0.007580499164760113,
0.03453931584954262,
0.04160377010703087,
0.021567054092884064,
-0.007745099253952503,
0.013977657072246075,
-0.016673538833856583,
-0.03697717562317848,
0.044593263417482376,
0.01242063008248806,
0.025980113074183464,
-0.023933734744787216,
-0.031051574274897575,
-0.03272426500916481,
0.010641169734299183,
0.026567336171865463,
-0.008194413036108017,
0.006864266470074654,
-0.06220991536974907,
-0.019378317520022392,
-0.0076027424074709415,
0.05245847627520561,
0.016824793070554733,
0.027332503348588943,
0.06363348662853241,
-0.01800813339650631,
0.012998954392969608,
0.010169613175094128,
-0.0002963912847917527,
-0.05075019598007202,
0.015588068403303623,
-0.027635011821985245,
0.026745282113552094,
-0.02283046953380108,
-0.010027255862951279,
0.013639559969305992,
-0.036870408803224564,
-0.023737994953989983,
0.0014113341458141804,
-0.02201191894710064,
-0.005129293072968721,
0.004219544120132923,
-0.012002456933259964,
0.03861428052186966,
0.03395209461450577,
-0.004461995791643858,
0.08783414214849472,
0.017839085310697556,
-0.0256064273416996,
0.04057168588042259,
0.07242401689291,
-0.014840695075690746,
-0.04986046627163887,
-0.03868545591831207,
0.043703533709049225,
0.02247457765042782,
-0.06398937851190567,
0.027990903705358505,
-0.019502880051732063,
-0.019752005115151405,
-0.008394601754844189,
0.005462941713631153,
0.015232176519930363,
0.009395548142492771,
-0.042066432535648346,
0.0037190711591392756,
-0.008221104741096497,
-0.0005766561953350902,
0.016878176480531693,
-0.006935444660484791,
0.04071404039859772,
-0.05704948306083679,
0.012883289717137814,
0.013986554928123951,
0.022154275327920914,
0.10762172937393188,
0.021264545619487762,
-0.04850807413458824,
-0.038578689098358154,
-0.0314786434173584,
0.026513952761888504,
-0.04021579399704933,
-0.03455711156129837,
-0.02619364857673645,
-0.018506381660699844,
-0.027973109856247902,
0.025161562487483025,
0.006721909623593092,
0.008412396535277367,
0.020268047228455544,
0.02631821110844612,
0.047653935849666595,
-0.002391149289906025,
-0.054700594395399094,
-0.04861484467983246,
0.002084192354232073,
0.002006341004744172,
0.004050495568662882,
-0.018292848020792007,
-0.017607755959033966,
0.040002256631851196,
-0.013256976380944252,
0.0008680427563376725,
0.051177266985177994,
-0.060893114656209946,
-0.010845808312296867,
-0.02106880396604538,
-0.00566757982596755,
-0.022581346333026886,
0.006245904136449099,
-0.02665630914270878,
-0.004693325608968735,
-0.05633769929409027,
0.11701728403568268,
0.00481343874707818,
-0.0053205848671495914,
-0.0894712433218956,
-0.030090665444731712,
-0.005258304066956043,
0.02831120602786541,
0.04227996617555618,
-0.008474677801132202,
0.023399896919727325,
0.0060457149520516396,
-0.022100891917943954,
-0.008648174814879894,
0.06804654747247696,
-0.04754716902971268,
0.05131962150335312,
-0.03907693922519684,
0.04687097296118736,
-0.01731414534151554,
0.06409614533185959,
0.037582192569971085,
-0.005716514773666859,
0.03231498971581459,
0.04598124325275421,
0.0606084018945694,
0.0036946034524589777,
-0.021406902000308037,
-0.037938084453344345,
-0.002255465369671583,
0.005823282524943352,
0.0023288680240511894,
-0.004849028307944536,
0.00835456419736147,
-0.02596231922507286,
0.01048101857304573,
-0.00011990500934189186,
0.01936052367091179,
0.007731752935796976,
0.048935145139694214,
0.05537679046392441,
0.02948565036058426,
0.02213648147881031,
-0.03466387838125229,
-0.03592729568481445,
0.015926165506243706,
0.013443819247186184,
-0.02772398479282856,
0.01527666300535202,
-0.050180766731500626,
-0.007825174368917942,
-0.01703832857310772,
0.040998756885528564,
-0.034930795431137085,
-0.08698000013828278,
0.016798101365566254,
0.01533004641532898,
0.004626595415174961,
0.020463788881897926,
0.03341825678944588,
-0.002197633031755686,
0.021851766854524612,
0.029983898624777794,
-0.03815161809325218,
-0.01244732178747654,
-0.10278160125017166,
-0.012171505019068718,
-0.025980113074183464,
-0.005774347111582756,
-0.018088210374116898,
-0.007464834023267031,
-0.045945651829242706,
-0.003530003596097231,
-0.0002726188104134053,
-0.017020532861351967,
0.0064016068354249,
0.0629572868347168,
-0.004751157946884632,
0.04914868250489235,
0.00345215224660933,
-0.05331261828541756,
-0.03907693922519684,
-0.0017216274281963706,
0.039575185626745224,
0.024574341252446175,
-0.01262526772916317,
0.03007287159562111,
-0.0806451216340065,
-0.022883852943778038,
-0.06256581097841263,
0.0033008980099111795,
-0.009253190830349922,
-0.03601626679301262,
-0.01388868410140276,
0.012438424862921238,
0.054949719458818436,
0.030055077746510506,
-0.03726188838481903,
0.062245506793260574,
0.033880915492773056,
-0.07929272949695587,
0.08690881729125977,
0.04978928714990616,
0.028738277032971382,
0.019983334466814995,
-0.00902631040662527,
0.01650449074804783,
0.054237935692071915,
-0.0659111961722374,
0.06455880403518677,
-0.021976329386234283,
-0.014084424823522568,
0.03925488516688347,
-0.012118121609091759,
0.0226703193038702,
-0.03025081753730774,
0.046586260199546814,
0.013764121569693089,
0.050180766731500626,
-0.0178034957498312,
0.019235961139202118,
-0.009929385967552662,
0.04544740542769432,
0.04993164539337158,
-0.014991949312388897,
-0.07331374287605286,
-0.01138854306191206,
-0.012714240700006485,
0.029343293979763985,
-0.031176136806607246,
-0.02402270771563053,
0.005365071352571249,
0.025179356336593628,
-0.03350722789764404,
0.010080640204250813,
-0.047475989907979965,
-0.07082249969244003,
0.005867769010365009,
-0.04267144575715065,
0.01841740868985653,
0.03514433279633522,
-0.008127682842314243,
0.031104957684874535,
-0.06822448968887329,
-0.0024756735656410456,
-0.0027092276141047478,
-0.048650432378053665,
0.0629572868347168,
0.027759574353694916,
-0.021976329386234283,
-0.023204157128930092,
-0.0013401557225733995,
-0.01953846961259842,
-0.04085639864206314,
-0.04409501701593399,
0.001785020693205297,
0.01637103036046028,
-0.007242401596158743,
-0.022118685767054558,
0.026282621547579765,
-0.017376424744725227,
0.06285052001476288,
-0.06156931072473526,
-0.011522002518177032,
0.07922155410051346,
0.018737712875008583,
-0.00659289862960577,
0.0027959763538092375,
0.05704948306083679,
0.04089198634028435,
0.005765449721366167,
-0.04284939169883728,
-0.038578689098358154,
-0.034041065722703934,
-0.007171223405748606,
0.031994689255952835,
-0.034236807376146317,
0.0007451488054357469,
0.004978038836270571,
0.015926165506243706,
0.05309908092021942,
0.03736865893006325,
0.07737091183662415,
0.002993941307067871,
0.0026046843267977238,
-0.031158342957496643,
-0.009911591187119484,
-0.05245847627520561,
-0.018381820991635323,
0.03197689354419708,
-0.01943170092999935,
0.030126255005598068,
-0.057547733187675476,
-0.10740819573402405,
-0.02783075161278248,
-0.06968364864587784,
-0.009760336950421333,
0.01943170092999935,
0.0021119965240359306,
-0.039112526923418045,
-0.015543581917881966,
-0.004889065865427256,
-0.0417817160487175,
0.010552196763455868,
0.0009492306271567941,
-0.01442252192646265,
0.009128629229962826,
-0.03315133601427078,
0.02124674990773201,
-0.047760702669620514,
-0.05349056422710419,
-0.07779798656702042,
0.04114111140370369,
0.04687097296118736,
-0.005369520280510187,
-0.0429561622440815,
-0.07715737819671631,
0.02478787675499916,
-0.09082362800836563,
-0.059362780302762985,
-0.05687153711915016,
-0.014822900295257568,
0.017634447664022446,
-0.003160765627399087,
-0.024467572569847107,
0.0606084018945694,
-0.004517603665590286,
-0.0027537140995264053,
0.014849592931568623,
-0.039468418806791306,
0.023471076041460037,
-0.011619873344898224,
0.051889050751924515,
0.05569709464907646,
-0.009155320934951305,
0.009324369952082634,
0.027474859729409218,
-0.004880168475210667,
-0.02307959459722042,
0.02678087167441845,
0.023506665602326393,
-0.023560049012303352,
-0.05658682435750961,
0.057120662182569504,
-0.004653287585824728,
-0.028293412178754807,
-0.019342727959156036,
-0.07331374287605286,
0.022705907002091408,
0.012963364832103252,
-0.010053948499262333,
0.029859336093068123,
0.006570655386894941,
0.019734209403395653,
-0.02749265544116497,
0.0034143386874347925,
-0.04381030052900314,
0.03619421273469925,
0.01489407941699028,
-0.017225172370672226,
0.021104393526911736,
-0.015009744092822075,
0.03302677348256111,
0.019324934110045433,
-0.0006344886496663094,
0.03066009283065796,
-0.025108179077506065,
-0.017198478803038597,
0.010142921470105648,
-0.04644390195608139,
0.0092709856107831,
-0.01788357086479664,
-0.009822618216276169,
-0.0276706013828516,
0.05448706075549126,
0.01100595947355032,
-0.01071234792470932,
0.04210202023386955,
0.010587786324322224,
-0.00365011696703732,
0.00887505616992712,
0.01578380912542343,
0.0008730475092306733,
-0.00657955277711153,
0.056480057537555695,
-0.03025081753730774,
-0.00020547200983855873,
-0.052885547280311584,
-0.0700395405292511,
0.012616370804607868,
-0.0028760519344359636,
-0.018808890134096146,
-0.015605863183736801,
0.008528061211109161,
-0.019734209403395653,
-0.004019354935735464,
0.018880069255828857,
0.000609465001616627,
-0.013488305732607841,
0.036585696041584015,
-0.004853476770222187,
0.0036300981882959604,
0.0067841908894479275,
-0.04331205412745476,
-0.0019118072232231498,
0.031994689255952835,
-0.07174782454967499,
-0.019823182374238968,
0.05156874656677246,
0.030410969629883766,
-0.03014405071735382,
-0.030571119859814644,
0.007789585739374161,
-0.03932606428861618,
-0.006259249988943338,
-0.03501977026462555,
0.01806151680648327,
-0.0635978952050209,
0.023346513509750366,
-0.024058297276496887,
-0.07366963475942612,
-0.06014574319124222,
0.0022254369687289,
0.038044851273298264,
0.042351145297288895,
-0.006495028268545866,
-0.0009458941058255732,
0.0005104825249873102,
-0.00014103610010351986,
0.014520392753183842,
-0.01654897630214691,
-0.07210371643304825,
0.04480680078268051,
-0.008528061211109161,
0.007024417631328106,
0.004168384708464146,
-0.015134305693209171,
0.011699948459863663,
-0.03786690533161163,
0.003154092701151967,
-0.06470116227865219,
-0.030357584357261658,
0.0203036367893219,
0.012732035480439663,
0.03662128373980522,
-0.011459721252322197,
-0.0037724548019468784,
-0.04331205412745476,
0.016210880130529404,
-0.05669359117746353,
-0.030001692473888397,
-0.0670856386423111,
0.03815161809325218,
-0.00550297973677516,
0.016255365684628487,
-0.03409444913268089,
0.03879222646355629,
-0.01989436149597168,
0.012020251713693142,
0.019574059173464775,
-0.004061616957187653,
0.028097670525312424,
0.001011511660180986,
0.012892186641693115,
0.004123898223042488,
-0.046764206141233444,
0.010916986502707005,
-0.01647779904305935,
-0.041176702827215195,
-0.005276098381727934,
-0.007656126283109188,
0.030108461156487465,
0.022332221269607544,
-0.017260760068893433,
0.012224889360368252,
0.011014856398105621,
-0.0067574987187981606,
0.07135634124279022,
-0.026353800669312477,
-0.012411732226610184,
-0.014591570943593979,
-0.010908088646829128,
0.030695682391524315,
-0.014022143557667732,
0.03553581237792969,
0.020445993170142174,
-0.018559766933321953,
0.014324652031064034,
0.0453050471842289,
0.009867104701697826,
-0.0027314708568155766,
0.0220653023570776,
-0.038756635040044785,
0.0029272115789353848,
-0.031229520216584206,
-0.0057298606261610985,
-0.0023221950978040695,
0.013426024466753006,
0.019146988168358803,
-0.012180402874946594,
0.020268047228455544,
-0.06117783114314079,
-0.05199581757187843,
-0.0025646465364843607,
-0.02453875169157982,
-0.000623367028310895,
-0.028631508350372314,
0.005031422711908817,
-0.011050445958971977,
-0.06320641189813614,
-0.03414783626794815,
0.017741214483976364,
-0.015365635976195335,
0.011175007559359074,
0.001159985433332622,
0.00839015282690525,
0.009804823435842991,
0.0017004963010549545,
0.06153372302651405,
0.007878558710217476,
-0.01621977612376213,
0.031354084610939026,
0.025642016902565956,
0.011424132622778416,
-0.005049217492341995,
0.01953846961259842,
-0.0016081868670880795,
0.04345440864562988,
-0.002824892522767186,
-0.007433693390339613,
0.03389871120452881,
0.02726132422685623,
0.017483193427324295,
-0.03283103555440903,
0.017234068363904953,
-0.05455823987722397,
-0.022634729743003845,
0.04284939169883728,
-0.015926165506243706,
0.007273542229086161,
-0.04850807413458824,
-0.046942152082920074,
0.018435204401612282,
-0.005907806567847729,
0.015623657964169979,
0.05808157101273537,
0.046301547437906265,
-0.025642016902565956,
-0.023684611544013023,
0.023969324305653572,
-0.0011138305999338627,
0.0023221950978040695,
0.043169695883989334,
-0.03772455081343651,
-0.0016460004262626171,
0.038578689098358154,
0.02654954046010971,
0.007985326461493969,
-0.03861428052186966,
-0.014547084458172321,
0.01601513847708702,
-0.009324369952082634,
0.026923228055238724,
0.007260196376591921,
0.036051858216524124,
-0.044700030237436295,
0.040109023451805115,
-0.05644446611404419,
0.01769672892987728,
-0.0037502115592360497,
0.023204157128930092,
0.017323041334748268,
-0.012251581065356731,
-0.03395209461450577,
0.026531746610999107,
-0.020997626706957817,
0.05861540883779526,
0.004777849651873112,
-0.020214663818478584,
0.024805670604109764,
0.00036228689714334905,
-0.02172720432281494,
-0.01589057594537735,
-0.02749265544116497,
0.01442252192646265,
-0.021584847941994667,
0.011557592079043388,
-0.038578689098358154,
-0.013630662113428116,
-0.03096260130405426,
0.03637215867638588,
-0.008136579766869545,
0.03279544413089752,
-0.013621765188872814,
-0.04939780756831169,
0.04555417224764824,
0.02249237336218357,
-0.007349169347435236,
-0.0011777799809351563,
-0.011860099621117115,
-0.032937802374362946,
0.012554089538753033,
0.05082137510180473,
0.024147270247340202,
-0.036585696041584015,
0.03343605250120163,
-0.016104111447930336,
0.0506434291601181,
-0.04124787822365761,
-0.010641169734299183,
-0.008639277890324593,
0.0009269873844459653,
-0.03580273315310478,
0.0036946034524589777,
0.029325498268008232,
-0.00014458110672421753,
0.040464919060468674,
-0.0003383754228707403,
0.04050050675868988,
-0.037688959389925,
-0.04562535136938095,
0.015169895254075527,
-0.05950513854622841,
-0.0032185979653149843,
-0.025357302278280258,
-0.04466444253921509,
-0.06562647968530655,
0.023417692631483078,
0.037475425750017166,
-0.04601683095097542,
0.05993220955133438,
0.005075909197330475,
-0.02848915196955204,
-0.044593263417482376,
-0.013230283744633198,
-0.04601683095097542,
-0.005115947220474482,
0.034112244844436646,
0.047760702669620514,
-0.023702405393123627,
0.0073936558328568935,
-0.02749265544116497,
0.03025081753730774,
0.007883007638156414,
-0.007580499164760113,
-0.01653118245303631,
-0.01900463178753853,
0.0226703193038702,
0.005382866133004427,
0.037475425750017166,
0.0022109788842499256,
0.002444532932713628,
0.002804873511195183,
-0.016744717955589294,
-0.009359958581626415,
0.0120647381991148,
0.0009392211795784533,
-0.0113351596519351,
0.000526886957231909,
0.019502880051732063,
0.015241073444485664,
-0.05185345932841301,
0.03336487337946892,
-0.0007868548855185509,
0.02866709791123867,
-0.013995451852679253,
0.03786690533161163,
-0.003699052147567272,
-0.014671646989881992,
0.01989436149597168,
-0.0020730707328766584,
0.005783244501799345,
-0.044166192412376404,
0.011904586106538773,
-0.04633713513612747,
0.058650996536016464,
-0.01918257772922516,
-0.005040320102125406,
0.02701220102608204,
0.014911873266100883,
-0.006664077285677195,
-0.002653619507327676,
0.010240791365504265,
-0.0008257806184701622,
0.042991749942302704,
-0.02678087167441845,
0.008514715358614922,
0.02348886989057064,
-0.010641169734299183,
0.007758445106446743,
-0.006067958194762468,
0.022812675684690475,
-0.013025646097958088,
0.014297960326075554,
0.04555417224764824,
-0.0016626828582957387,
0.011735538020730019,
-0.013559483923017979,
-0.008274488151073456,
0.027457065880298615,
-0.010383148677647114,
0.047013331204652786,
-0.032172635197639465,
-0.011833407916128635,
0.0007607190636917949,
-0.06701445579528809,
0.02071291208267212,
0.007923045195639133,
0.0009603522485122085,
0.043703533709049225,
-0.017990339547395706,
-0.02395153045654297,
-0.009840412996709347,
-0.06527058780193329,
0.04605242237448692,
0.00850581843405962,
-0.01744760386645794,
0.028453562408685684,
0.026638513430953026,
0.015828294679522514,
-0.0070866988971829414,
0.022972825914621353,
-0.020107896998524666,
-0.046657439321279526,
-0.015703734010457993,
0.024467572569847107,
0.02106880396604538,
-0.026104675605893135,
0.021709410473704338,
0.04014461487531662,
0.030624505132436752,
0.0017661139136180282,
0.01442252192646265,
-0.010116229765117168,
-0.0013546138070523739,
-0.013105722144246101,
-0.02772398479282856,
0.015232176519930363,
-0.008474677801132202,
-0.0022398950532078743,
-0.0016026260564103723,
-0.07523556053638458,
-0.052066996693611145,
-0.02678087167441845,
0.0028849493246525526,
-0.015223278664052486,
0.0005619200528599322,
0.004270703531801701,
0.05808157101273537,
-0.014253473840653896,
-0.021104393526911736,
-0.030749065801501274,
-0.022261042147874832,
-0.01460046786814928,
-0.005921152886003256,
-0.014502597972750664,
0.009724748320877552,
0.021798383444547653,
-0.02902298979461193,
-0.0223678108304739,
-0.02277708612382412,
0.004675530828535557,
0.03119393065571785,
-0.04195966199040413,
-0.017581064254045486,
0.023417692631483078,
0.024093886837363243,
0.06452321261167526,
0.05067901685833931,
-0.0185419712215662,
-0.003616752102971077,
0.024556545540690422,
-0.0013668476603925228,
-0.0635623037815094,
0.028684893622994423,
-0.009787029586732388,
0.00373019278049469,
0.0023622328881174326,
-0.04373912513256073,
-0.049540162086486816,
0.059540726244449615,
-0.023328719660639763,
0.08505818247795105,
-0.004942449741065502,
-0.01123728882521391,
-0.03484182432293892,
-0.03779572620987892,
0.018470793962478638,
-0.00010461277997819707,
0.04131905734539032,
-0.02453875169157982,
0.016264263540506363,
-0.010703451000154018,
0.03206586837768555,
-0.011557592079043388,
0.020641734823584557,
-0.054415881633758545,
-0.0512128546833992,
-0.06697887182235718,
-0.0003900909796357155,
0.007015520706772804,
-0.020161280408501625,
-0.019324934110045433,
0.0019029098330065608,
0.007807380054146051,
0.02601570263504982,
0.035873912274837494,
-0.030393173918128014,
-0.0007012183777987957,
0.018737712875008583,
0.007349169347435236,
0.03786690533161163,
0.034112244844436646,
-0.0181060042232275,
-0.018559766933321953,
0.04245791211724281,
-0.0057387580163776875,
-0.02065952867269516,
0.018506381660699844,
-0.01388868410140276,
-0.0022009694948792458,
-0.05110608786344528,
-0.015187690034508705,
-0.020161280408501625,
-0.016201982274651527,
-0.03662128373980522,
-0.022812675684690475,
0.035411249846220016,
0.006721909623593092,
0.03797367215156555,
-0.00762498565018177,
0.024859054014086723,
-0.022350015118718147,
-0.017349733039736748,
0.00319413049146533,
0.059078067541122437,
0.002123118145391345,
0.013470510952174664,
0.03535786643624306,
-0.010142921470105648,
-0.00016168061119969934,
-0.018275052309036255,
-0.039112526923418045,
-0.050002820789813995,
0.01698494516313076,
0.022083096206188202,
0.0041928524151444435,
-0.004857925232499838,
0.0523872971534729,
0.024218449369072914,
0.014226781204342842,
0.021869562566280365,
-0.00638826098293066,
-0.010587786324322224,
0.010899191722273827,
-0.030891424044966698,
-0.030695682391524315,
-0.017643343657255173,
-0.0020697342697530985,
-0.03354281932115555,
-0.005725412163883448,
-0.04227996617555618,
0.007246850058436394,
-0.003040652023628354,
-0.03130069747567177,
0.026941021904349327,
0.018684329465031624,
0.0020541639532893896,
0.0036367711145430803,
-0.011255083605647087,
0.020001128315925598,
0.016077419742941856,
0.03615862503647804,
0.00018100443412549794,
0.0015625881496816874,
0.012402835302054882,
0.0042973957024514675,
0.02494802698493004,
-0.019805388525128365,
0.03142526000738144,
-0.02272370271384716,
0.053241439163684845,
0.005761001259088516,
0.0020441545639187098,
-0.02277708612382412,
0.018577560782432556,
0.013514997437596321,
-0.0028982951771467924,
0.037475425750017166,
0.021994123235344887,
-0.033471640199422836,
-0.0103030726313591,
0.019520673900842667,
0.0382583886384964,
-0.026460567489266396,
0.0009920488810166717,
-0.03318692743778229,
-0.02083747461438179,
-0.023168567568063736,
-0.04740481078624725,
0.04284939169883728,
0.0016571220476180315,
0.03783131763339043,
0.029823746532201767,
0.012109224684536457,
-0.022919442504644394,
-0.01012512668967247,
0.00498693622648716,
-0.0017905815038830042,
0.030055077746510506,
-0.0182394627481699,
0.020392609760165215,
-0.0023644573520869017,
-0.014725030399858952,
0.02096203714609146,
0.026336006820201874,
-0.018862275406718254,
-0.025819962844252586,
0.03501977026462555,
-0.01848858781158924,
-0.03302677348256111,
-0.04751157760620117,
-0.012313862331211567,
0.03101598471403122,
-0.0030161845497787,
-0.04939780756831169,
0.009359958581626415,
-0.029040785506367683,
0.019502880051732063,
-0.026923228055238724,
-0.023915940895676613,
-0.0003633990709204227,
0.0017861328087747097,
0.023826967924833298,
0.0007034427253529429,
-0.03683481737971306,
0.06192520260810852,
0.009155320934951305,
0.010952575132250786,
-0.04220878705382347,
-0.007246850058436394,
-0.013390435837209225,
-0.0394328311085701,
-0.029734773561358452,
-0.03879222646355629,
-0.0011199475266039371,
0.025642016902565956,
-0.05046548321843147,
-0.025873346254229546,
0.018969042226672173,
-0.020339226350188255,
-0.030215227976441383,
0.031282905489206314,
0.019574059173464775,
-0.004019354935735464,
-0.010525505058467388,
-0.017643343657255173,
0.04185289517045021,
0.00043958218884654343,
0.008701559156179428,
0.030749065801501274,
0.027101173996925354,
-0.03843633458018303,
0.03800926357507706,
0.028827250003814697,
-0.012376143597066402,
-0.0482589527964592,
0.013977657072246075,
-0.01118390541523695,
-0.016024036332964897,
-0.02466331422328949,
0.011797819286584854,
0.005587503779679537,
-0.008932888507843018,
-0.0072779906913638115,
-0.05363291874527931,
-0.009520110674202442,
-0.004197300877422094
] |
Over the past decade explainable artificial intelligence has evolved from a
predominantly technical discipline into a field that is deeply intertwined with
social sciences. Insights such as human preference for contrastive -- more
precisely, counterfactual -- explanations have played a major role in this
transition, inspiring and guiding the research in computer science. Other
observations, while equally important, have received much less attention. The
desire of human explainees to communicate with artificial intelligence
explainers through a dialogue-like interaction has been mostly neglected by the
community. This poses many challenges for the effectiveness and widespread
adoption of such technologies as delivering a single explanation optimised
according to some predefined objectives may fail to engender understanding in
its recipients and satisfy their unique needs given the diversity of human
knowledge and intention. Using insights elaborated by Niklas Luhmann and, more
recently, Elena Esposito we apply social systems theory to highlight challenges
in explainable artificial intelligence and offer a path forward, striving to
reinvigorate the technical research in this direction. This paper aims to
demonstrate the potential of systems theoretical approaches to communication in
understanding problems and limitations of explainable artificial intelligence. | [
-0.004797821864485741,
0.0016214026836678386,
-0.0324055515229702,
-0.054297301918268204,
0.06427101045846939,
0.05307308956980705,
-0.0007955112960189581,
-0.00126246630679816,
0.002216629683971405,
-0.0028152321465313435,
-0.023998111486434937,
-0.002069229492917657,
0.0017530502518638968,
0.006152553949505091,
0.007223737426102161,
0.03523203358054161,
0.039570778608322144,
-0.011566981673240662,
-0.001488629961386323,
-0.029309021309018135,
0.00613004993647337,
-0.02974109537899494,
-0.07834941893815994,
0.047168079763650894,
0.030551234260201454,
0.02668057009577751,
0.039966847747564316,
-0.015392636880278587,
-0.0967845767736435,
0.03557409346103668,
0.03398982062935829,
-0.002169371582567692,
-0.011233923956751823,
-0.05714178830385208,
-0.03150539845228195,
-0.04594387114048004,
-0.007043706718832254,
-0.03881464898586273,
0.03395381569862366,
0.1012493446469307,
0.006859174929559231,
0.02380007691681385,
0.03433188050985336,
-0.02021746337413788,
-0.025582382455468178,
-0.039966847747564316,
-0.027238665148615837,
-0.01591472700238228,
-0.034853968769311905,
-0.012098072096705437,
0.006872677244246006,
-0.08771102130413055,
0.05537748709321022,
0.046627987176179886,
-0.03276561200618744,
0.01640981063246727,
0.01884922944009304,
-0.05224495008587837,
0.07698118686676025,
0.01428544707596302,
0.03523203358054161,
0.023656051605939865,
-0.015518657863140106,
-0.027382690459489822,
0.021117618307471275,
-0.01222409401088953,
-0.006796163972467184,
0.030767269432544708,
-0.01967737078666687,
-0.05908612161874771,
-0.005598959047347307,
0.03960678353905678,
0.019515343010425568,
0.005855503026396036,
0.022809907793998718,
-0.02109961397945881,
0.046519968658685684,
0.05454934388399124,
0.0011195667320862412,
-0.0409030057489872,
0.014015400782227516,
0.01366434060037136,
0.0018982001347467303,
-0.005580956116318703,
0.037446413189172745,
-0.018597185611724854,
0.006503614131361246,
-0.0473841167986393,
0.02120763249695301,
-0.014924556948244572,
-0.02864290587604046,
-0.015041576698422432,
-0.02291792631149292,
-0.04864433407783508,
0.015149595215916634,
-0.012656168080866337,
0.036906320601701736,
0.024898264557123184,
-0.068735770881176,
-0.02286391705274582,
0.07021202892065048,
-0.005562952719628811,
0.03368376940488815,
0.014600501395761967,
0.043567463755607605,
-0.015203604474663734,
-0.02628450281918049,
0.01346630696207285,
-0.0050993734039366245,
0.1964496523141861,
-0.029957132413983345,
0.04929244518280029,
-0.060238320380449295,
-0.03582613542675972,
-0.023169968277215958,
0.017336970195174217,
-0.04630393162369728,
-0.05663770064711571,
0.024250153452157974,
-0.009024045430123806,
-0.03371977433562279,
0.025888433679938316,
0.024790246039628983,
-0.02579841949045658,
-0.028408866375684738,
0.08461449295282364,
-0.0031437885481864214,
-0.03398982062935829,
0.03834656998515129,
0.027670739218592644,
0.009172570891678333,
0.06664741784334183,
-0.01568068563938141,
0.01560867391526699,
0.01920928992331028,
0.0071472241543233395,
0.018939243629574776,
0.0047843195497989655,
0.029849113896489143,
0.004309487994760275,
-0.054225288331508636,
-0.021315651014447212,
-0.02556437999010086,
0.021585697308182716,
0.04248727858066559,
0.02257586643099785,
-0.007165227551013231,
0.036330223083496094,
-0.02504228986799717,
-0.012269102036952972,
-0.028066808357834816,
0.00850195623934269,
-0.056421663612127304,
-0.008992540650069714,
0.07654911279678345,
-0.03010115586221218,
-0.016940901055932045,
-0.007925857789814472,
-0.01856117881834507,
0.026320507749915123,
0.021693715825676918,
0.006256071850657463,
0.017949074506759644,
0.012332112528383732,
0.05915813520550728,
-0.04230724647641182,
-0.01280919462442398,
-0.023295991122722626,
-0.03589814901351929,
0.06473909318447113,
-0.02497027814388275,
-0.024592213332653046,
-0.06214664503931999,
0.045979876071214676,
0.04072297737002373,
0.03323369100689888,
0.01287220511585474,
-0.01213407889008522,
-0.046808019280433655,
0.03440389409661293,
-0.06988797336816788,
-0.023169968277215958,
-0.01599574089050293,
-0.013826368376612663,
0.03488997742533684,
0.025528373196721077,
0.09599244594573975,
-0.02174772508442402,
0.014744525775313377,
-0.013817367143929005,
0.01856117881834507,
0.025006283074617386,
0.02551037073135376,
0.0026464532129466534,
-0.013772359117865562,
-0.05926615372300148,
0.006485610734671354,
-0.03975081071257591,
-0.02109961397945881,
-0.017751039937138557,
-0.0044265082105994225,
-0.04709606617689133,
-0.016139764338731766,
-0.04353145509958267,
0.038922667503356934,
-0.012494140304625034,
0.013115246780216694,
0.02102760225534439,
0.004914842080324888,
-0.022485852241516113,
0.007498284336179495,
-0.011134907603263855,
0.008114890195429325,
-0.050048574805259705,
-0.02398010715842247,
-0.014852544292807579,
0.009042048826813698,
0.009289591573178768,
0.01920928992331028,
-0.04241526499390602,
0.014438473619520664,
-0.013187258504331112,
0.026914609596133232,
-0.014492482878267765,
0.04410755634307861,
0.008425443433225155,
0.001236586831510067,
-0.044215574860572815,
0.03074926696717739,
-0.03769845888018608,
-0.02740069292485714,
0.06520716845989227,
0.02981310710310936,
-0.040326908230781555,
0.04475566744804382,
-0.024052120745182037,
0.0607784129679203,
-0.004896838683634996,
-0.02862490341067314,
-0.01825512759387493,
-0.04407154768705368,
-0.02457420900464058,
0.004860832821577787,
-0.02374606765806675,
0.05058866739273071,
-0.04201919957995415,
0.0000014592343404729036,
0.04565582051873207,
0.0259784497320652,
-0.0012635914608836174,
-0.018651194870471954,
0.01832713931798935,
0.008227409794926643,
-0.008596472442150116,
0.0026442029047757387,
0.051164764910936356,
0.04255928844213486,
-0.03924672305583954,
0.02662656083703041,
-0.03247756510972977,
0.030767269432544708,
0.019461333751678467,
0.04965250566601753,
0.05454934388399124,
-0.06560324132442474,
-0.004910340998321772,
0.051452815532684326,
0.0365462601184845,
-0.01411441806703806,
-0.021135620772838593,
0.02605046145617962,
-0.013691345229744911,
-0.0030605243518948555,
-0.014087413437664509,
-0.027832766994833946,
-0.018651194870471954,
-0.012971221469342709,
0.05638565868139267,
0.009298592805862427,
-0.025834426283836365,
0.01672486402094364,
-0.03197347745299339,
0.029543060809373856,
-0.035088010132312775,
-0.01440246682614088,
-0.054945413023233414,
-0.04500770941376686,
-0.029255012050271034,
-0.09325597435235977,
-0.027364687994122505,
-0.043279413133859634,
0.012269102036952972,
-0.019641363993287086,
0.007435273844748735,
0.026662567630410194,
0.03611418604850769,
0.0323515422642231,
0.015149595215916634,
0.07366862148046494,
-0.04252328351140022,
-0.00954163447022438,
-0.021891750395298004,
0.01781405135989189,
0.06517116725444794,
-0.014024402014911175,
0.02797679230570793,
0.04241526499390602,
0.061534538865089417,
-0.02232382446527481,
-0.018372146412730217,
0.037446413189172745,
0.036744292825460434,
-0.04104703292250633,
0.0021569945383816957,
0.013817367143929005,
0.025258326902985573,
0.053289126604795456,
-0.07539691776037216,
0.00343183777295053,
-0.018597185611724854,
0.007169728167355061,
-0.01985740102827549,
-0.13783161342144012,
0.005796993151307106,
-0.00895653385668993,
0.008317424915730953,
0.02180173434317112,
0.012188088148832321,
-0.006422600243240595,
0.01902925968170166,
-0.08490253984928131,
0.05595358461141586,
0.03816653788089752,
0.0346379317343235,
0.02952505834400654,
-0.04295535758137703,
0.018993252888321877,
-0.016778873279690742,
-0.061066459864377975,
-0.016886891797184944,
0.020253470167517662,
-0.005923014599829912,
-0.039030686020851135,
-0.06286676973104477,
-0.019929414615035057,
-0.04407154768705368,
-0.003566860919818282,
-0.010243754833936691,
0.0046718004159629345,
-0.010693831369280815,
0.0010357399005442858,
0.0008883396512828767,
-0.04047093167901039,
0.016031745821237564,
-0.004914842080324888,
-0.05292906612157822,
-0.001353606814518571,
-0.022539861500263214,
0.052352968603372574,
0.018543176352977753,
0.07395666837692261,
-0.06319082528352737,
-0.021459676325321198,
0.04684402421116829,
-0.05750184878706932,
-0.0516328439116478,
-0.051812876015901566,
0.028660910204052925,
-0.019839398562908173,
-0.013835369609296322,
-0.022611873224377632,
0.04288334399461746,
-0.02351202815771103,
0.02398010715842247,
0.03170343115925789,
-0.014384464360773563,
0.0029840110801160336,
0.012638164684176445,
-0.0010109856957569718,
0.04839228838682175,
-0.03069525770843029,
-0.020181456580758095,
-0.014654510654509068,
0.0694919005036354,
-0.05012058466672897,
0.01087386254221201,
0.006211063824594021,
-0.006751156412065029,
0.02929101698100567,
0.04248727858066559,
-0.023007940500974655,
-0.013115246780216694,
-0.06945589929819107,
-0.08216607570648193,
0.05066067725419998,
0.02828284539282322,
-0.01099088229238987,
-0.009919699281454086,
0.022935928776860237,
0.01944333128631115,
-0.014645508490502834,
-0.013853373005986214,
0.018048090860247612,
0.014636507257819176,
0.007745826616883278,
-0.04241526499390602,
0.0068546743132174015,
0.027094641700387,
0.028012799099087715,
-0.0014672513352707028,
-0.005796993151307106,
0.005914012901484966,
-0.008290420286357403,
-0.03150539845228195,
0.016031745821237564,
0.013943388126790524,
-0.011035890318453312,
0.006544121075421572,
0.06175057590007782,
-0.015257613733410835,
0.018030088394880295,
0.052641015499830246,
0.022521857172250748,
0.008614475838840008,
0.008146395906805992,
0.00009289872832596302,
0.03330570459365845,
-0.01145896315574646,
0.011071896180510521,
-0.018471164628863335,
0.020649537444114685,
-0.004910340998321772,
-0.019191287457942963,
-0.032729607075452805,
0.023169968277215958,
-0.0325135700404644,
-0.03082127869129181,
-0.0060625383630394936,
0.01785905845463276,
0.004446761682629585,
-0.05404525622725487,
0.003872913308441639,
0.012836199253797531,
0.05537748709321022,
-0.02774275280535221,
-0.026374517008662224,
0.028840940445661545,
-0.005351416766643524,
-0.03575412556529045,
-0.02893095649778843,
-0.04576383903622627,
0.026734579354524612,
-0.06783562153577805,
-0.027490708976984024,
0.016994910314679146,
-0.04943646863102913,
0.03370177373290062,
-0.04165913537144661,
0.002179498318582773,
-0.04742012172937393,
0.0074937837198376656,
0.048284269869327545,
0.062362682074308395,
0.009145566262304783,
0.004088950343430042,
0.0324595607817173,
-0.022179799154400826,
-0.006242569535970688,
0.018183114007115364,
0.053829219192266464,
0.023494023829698563,
0.007939360104501247,
-0.025312336161732674,
-0.016895893961191177,
0.011927043087780476,
0.016085755079984665,
0.0072822473011910915,
0.031541403383016586,
-0.0056799729354679585,
-0.022701889276504517,
-0.00917707197368145,
0.03335971385240555,
0.02309795655310154,
-0.01985740102827549,
-0.05274903401732445,
0.06934788078069687,
-0.03294564411044121,
-0.027238665148615837,
-0.03823855146765709,
-0.08238211274147034,
-0.01581570878624916,
-0.026716576889157295,
0.0005114001105539501,
0.002855739090591669,
-0.005693475250154734,
-0.021297648549079895,
-0.01700391247868538,
0.0014728773385286331,
0.04349545016884804,
0.054585348814725876,
-0.031253352761268616,
-0.015230609104037285,
-0.009820681996643543,
-0.01591472700238228,
0.002144617261365056,
0.004302736837416887,
0.005648467689752579,
0.009757671505212784,
-0.009559637866914272,
-0.013412297703325748,
0.018579183146357536,
-0.03705034777522087,
0.04806823283433914,
0.004869834054261446,
-0.010117732919752598,
0.022053778171539307,
-0.01856117881834507,
-0.0022807656787335873,
0.050804704427719116,
0.021297648549079895,
-0.020397493615746498,
-0.028714919462800026,
0.026122475042939186,
0.033791787922382355,
-0.0498325377702713,
0.05905011668801308,
0.03470994532108307,
0.03805851936340332,
-0.03427787125110626,
0.0043139890767633915,
-0.035448070615530014,
0.025060292333364487,
-0.029777100309729576,
-0.03128936141729355,
-0.01236811839044094,
-0.021297648549079895,
0.06373091787099838,
0.023494023829698563,
-0.004498520400375128,
-0.018885234370827675,
-0.008204905316233635,
0.03798650577664375,
-0.009775674901902676,
0.041443098336458206,
-0.007592800538986921,
0.011981052346527576,
0.035970162600278854,
0.00360061670653522,
-0.03134337067604065,
0.007417270448058844,
0.019173284992575645,
-0.008380435407161713,
0.007633307483047247,
-0.013457304798066616,
-0.009406611323356628,
0.02527632936835289,
0.016832882538437843,
0.012854201719164848,
-0.0067556570284068584,
-0.018867231905460358,
0.018345141783356667,
0.0011724508367478848,
-0.03852659836411476,
0.015437643975019455,
-0.032603584229946136,
0.020577525720000267,
0.01428544707596302,
0.07251641899347305,
0.0012332112528383732,
0.010126735083758831,
-0.050156593322753906,
-0.01152197364717722,
-0.00449176924303174,
0.02138766273856163,
-0.012719178572297096,
0.038922667503356934,
0.0498325377702713,
-0.048464301973581314,
0.00005277857053442858,
-0.012512143701314926,
0.027094641700387,
0.01166599802672863,
-0.02952505834400654,
0.03175744041800499,
-0.024142134934663773,
-0.0033733278978616,
-0.0059950267896056175,
0.004955349024385214,
-0.003974180668592453,
0.019281303510069847,
0.001585396588779986,
0.04007486626505852,
-0.006818667985498905,
0.024826252833008766,
0.01669785939157009,
0.02439417876303196,
0.036618273705244064,
-0.023890092968940735,
-0.003168542869389057,
-0.05372120067477226,
0.03456592187285423,
0.014150423929095268,
0.06020231172442436,
0.026878604665398598,
0.010504799894988537,
0.013853373005986214,
-0.0312353502959013,
0.027598727494478226,
0.01166599802672863,
0.010297764092683792,
-0.014987567439675331,
-0.02563639171421528,
0.027382690459489822,
-0.035916153341531754,
0.03353974595665932,
-0.04407154768705368,
0.0454757884144783,
-0.005229895934462547,
0.019281303510069847,
0.007534290663897991,
0.02091958373785019,
-0.0044512622989714146,
0.053829219192266464,
-0.018453160300850868,
0.03559209778904915,
0.039858829230070114,
0.017688030377030373,
-0.012719178572297096,
0.008862017653882504,
0.0205055121332407,
-0.023187972605228424,
0.01752600260078907,
-0.02439417876303196,
0.023440014570951462,
0.0029750096146017313,
0.009217578917741776,
0.023584039881825447,
0.04734811186790466,
0.03816653788089752,
-0.029705088585615158,
-0.005045364145189524,
-0.0025384349282830954,
-0.02315196581184864,
0.031253352761268616,
-0.00965865422040224,
0.034205857664346695,
-0.008992540650069714,
-0.013871376402676105,
0.0430273711681366,
0.02952505834400654,
0.015311622992157936,
0.013565323315560818,
0.011008885689079762,
0.0477081723511219,
0.0038211545906960964,
-0.0047078062780201435,
0.033251695334911346,
-0.022197801619768143,
0.021693715825676918,
0.02473623678088188,
-0.012431129813194275,
0.012836199253797531,
0.03570011630654335,
0.017958076670765877,
0.017958076670765877,
0.0031257853843271732,
0.02221580594778061,
0.0037716461811214685,
-0.024016113951802254,
0.06517116725444794,
-0.03370177373290062,
0.017634021118283272,
-0.05991426482796669,
0.05296507105231285,
0.0023156467359513044,
0.001024488010443747,
0.041263069957494736,
0.004815824795514345,
-0.011359945870935917,
-0.017958076670765877,
-0.016760870814323425,
0.027886776253581047,
-0.024664225056767464,
0.007381264586001635,
-0.003971930593252182,
-0.003168542869389057,
-0.02864290587604046,
0.01432145293802023,
0.02239583618938923,
-0.0012590907281264663,
0.012638164684176445,
0.04832027852535248,
0.0071787298657000065,
-0.0016731616342440248,
-0.02068554423749447,
-0.008551464416086674,
-0.01866919733583927,
-0.0011066270526498556,
0.018633192405104637,
-0.0010683705331757665,
-0.0028512384742498398,
-0.012548149563372135,
-0.01496956404298544,
0.016778873279690742,
0.0004798946902155876,
0.006733153481036425,
0.018525173887610435,
0.011891037225723267,
-0.058654047548770905,
-0.018831225112080574,
0.021063609048724174,
0.006341586355119944,
0.013187258504331112,
0.03175744041800499,
0.04947247356176376,
0.012026060372591019,
0.04266730695962906,
-0.024754241108894348,
-0.04317139461636543,
0.023007940500974655,
0.03200948238372803,
-0.02014545165002346,
-0.01007272582501173,
-0.020577525720000267,
-0.028894949704408646,
0.0753249004483223,
-0.019119275733828545,
-0.008069882169365883,
0.03145138919353485,
0.005225395318120718,
0.033143676817417145,
0.026590554043650627,
-0.024466190487146378,
0.02333199605345726,
0.012566152960062027,
-0.021783731877803802,
0.0411190427839756,
-0.0014863796532154083,
0.04655597358942032,
-0.012206090614199638,
-0.0001431104465154931,
0.010999884456396103,
-0.003440839471295476,
-0.013358288444578648,
0.006323583424091339,
-0.003454341785982251,
-0.015293619595468044,
-0.009289591573178768,
-0.04644795507192612,
0.031775444746017456,
0.033323708921670914,
0.008506457321345806,
0.06121048331260681,
-0.016778873279690742,
0.02992112562060356,
-0.021243639290332794,
0.016625847667455673,
-0.00793485902249813,
0.012737181968986988,
0.021999768912792206,
0.026140477508306503,
0.07104016840457916,
-0.02480825036764145,
0.031901463866233826,
0.004145210143178701,
0.0010441788472235203,
0.010117732919752598,
-0.004593036603182554,
0.010621819645166397,
0.008808008395135403,
-0.015338627621531487,
-0.013592327944934368,
0.012746183201670647,
-0.04778018593788147,
0.0344759039580822,
-0.04201919957995415,
0.010027717798948288,
-0.05627764016389847,
-0.04248727858066559,
0.010450790636241436,
-0.024286160245537758,
0.005873505957424641,
-0.02533033862709999,
0.03989483416080475,
-0.04007486626505852,
0.016067752614617348,
-0.0011814524186775088,
-0.08065381646156311,
0.02473623678088188,
0.05127278342843056,
-0.025762412697076797,
-0.01796707697212696,
0.040867000818252563,
-0.0129892248660326,
0.044287584722042084,
-0.01967737078666687,
-0.01646381989121437,
-0.01607675477862358,
0.01576169952750206,
-0.0006874927785247564,
0.00615705456584692,
-0.0347459502518177,
-0.007048207335174084,
-0.007925857789814472,
-0.021873746067285538,
-0.023133963346481323,
-0.01612176187336445,
-0.03199148178100586,
0.010405782610177994,
0.026914609596133232,
0.044683653861284256,
0.050876714289188385,
0.017877062782645226,
0.02722066268324852,
0.023422012105584145,
-0.008627978153526783,
-0.0347459502518177,
0.011891037225723267,
-0.01635580137372017,
0.011152910068631172,
-0.02740069292485714,
-0.0559895895421505,
-0.00018945432384498417,
-0.0018700703512877226,
-0.06333485245704651,
-0.029507054015994072,
0.008663984015583992,
-0.016598843038082123,
0.006422600243240595,
-0.04108303785324097,
-0.008596472442150116,
0.05462135747075081,
0.002019721083343029,
0.00898353848606348,
-0.017300963401794434,
0.0366002693772316,
-0.014384464360773563,
-0.017012914642691612,
0.023890092968940735,
0.013763357885181904,
0.0037536430172622204,
0.03564610704779625,
0.009919699281454086,
-0.001253464724868536,
-0.008510957472026348,
-0.0040371916256845,
-0.023187972605228424,
-0.04241526499390602,
0.01944333128631115,
-0.012215092778205872,
-0.007619805168360472,
-0.008515458554029465,
0.012215092778205872,
0.008564966730773449,
-0.04396352916955948,
-0.014132420532405376,
0.03849059343338013,
0.04029090330004692,
0.012485139071941376,
-0.04835628345608711,
0.019785389304161072,
0.016625847667455673,
-0.023494023829698563,
0.014726522378623486,
0.007813338190317154,
-0.06484711170196533,
0.008524459786713123,
-0.012890208512544632,
-0.004496270325034857,
-0.03975081071257591,
-0.0012714677723124623,
-0.017796048894524574,
0.004399503581225872,
-0.0074262721464037895,
-0.007835842669010162,
0.05937417224049568,
0.014546492137014866,
-0.011125905439257622,
0.00252493261359632,
0.02392609789967537,
0.017697030678391457,
0.0056799729354679585,
-0.005162384361028671,
-0.002704963320866227,
0.019245296716690063,
-0.017300963401794434,
-0.04673600569367409,
-0.01638280600309372,
0.011629992164671421,
-0.028138820081949234,
0.022791903465986252,
0.03368376940488815,
-0.040867000818252563,
-0.00836243201047182,
0.014222436584532261,
-0.0323515422642231,
-0.017435986548662186,
0.026320507749915123,
-0.005950019229203463,
0.006742154713720083,
0.0071472241543233395,
-0.03499799594283104,
-0.04119105637073517,
-0.008596472442150116,
0.01635580137372017,
-0.034151848405599594,
0.007619805168360472,
0.00025724718580022454,
0.031073322519659996,
-0.011774016544222832,
-0.030893292278051376,
-0.034619931131601334,
-0.004901339765638113,
-0.028426868841052055,
0.004588535986840725,
-0.0259784497320652,
-0.06477509438991547,
-0.02079356275498867,
-0.007435273844748735,
0.02432216703891754,
0.027778757736086845,
0.04259529709815979,
0.0012050814693793654,
0.03181144967675209,
0.01352031622081995,
0.03528604283928871,
0.002233507577329874,
0.044935695827007294,
-0.0006205437821336091,
-0.012611160054802895,
-0.048932380974292755,
-0.001577520277351141,
0.00858297012746334,
0.013457304798066616,
-0.005873505957424641,
0.006719651166349649,
-0.028084810823202133,
0.02893095649778843,
-0.05350516363978386,
-0.017850058153271675,
-0.02009144239127636,
0.008330927230417728,
0.06589128822088242,
-0.021603699773550034,
0.008470450527966022,
0.000910843547899276,
0.044395603239536285,
0.07312852889299393,
0.01931730844080448,
0.05379321426153183,
-0.056061603128910065,
0.01809309981763363,
-0.008726994507014751,
-0.011071896180510521,
-0.03352174162864685,
-0.003798650810495019,
-0.011918041855096817,
-0.00030408333986997604,
0.009748670272529125,
0.014978566206991673,
-0.001133631682023406,
0.028030801564455032,
-0.03705034777522087,
-0.01697690784931183,
-0.008596472442150116,
0.0016776623670011759,
0.00023024257097858936,
-0.05098473280668259,
-0.0453677698969841,
0.0075702969916164875,
0.009667656384408474,
0.016634849831461906,
0.0030425211880356073,
-0.01765202358365059,
0.0019837147556245327,
-0.06520716845989227,
-0.0032293032854795456,
0.004869834054261446,
-0.02561838924884796,
-0.016598843038082123,
0.015131591819226742,
-0.026428526267409325,
0.01679687760770321,
0.0006188559927977622,
-0.023764070123434067,
-0.038022514432668686,
0.0347459502518177,
0.021837741136550903,
0.005823997780680656,
0.038382574915885925,
-0.0013997397618368268,
0.021999768912792206,
-0.034151848405599594,
0.0072462414391338825,
0.002641952596604824,
-0.0011319438926875591,
0.008699989877641201,
0.03795050084590912,
0.01944333128631115,
-0.004545778501778841,
-0.012467135675251484,
-0.0005513444193638861,
0.013970392756164074,
0.05296507105231285,
-0.03258558362722397,
0.036150190979242325,
0.00581949669867754,
0.002578941872343421,
-0.05627764016389847,
0.006971694063395262,
0.024772243574261665,
0.03366576507687569,
-0.015014572069048882,
0.01358332671225071,
-0.036906320601701736,
-0.0008410815498791635,
-0.028444873169064522,
-0.05156083405017853,
0.01305223535746336,
-0.0603463388979435,
0.015392636880278587,
-0.01679687760770321,
-0.016499826684594154,
-0.017796048894524574
] |
Adaptive regularization methods that exploit more than the diagonal entries
exhibit state of the art performance for many tasks, but can be prohibitive in
terms of memory and running time. We find the spectra of the Kronecker-factored
gradient covariance matrix in deep learning (DL) training tasks are
concentrated on a small leading eigenspace that changes throughout training,
motivating a low-rank sketching approach. We describe a generic method for
reducing memory and compute requirements of maintaining a matrix preconditioner
using the Frequent Directions (FD) sketch. While previous approaches have
explored applying FD for second-order optimization, we present a novel analysis
which allows efficient interpolation between resource requirements and the
degradation in regret guarantees with rank $k$: in the online convex
optimization (OCO) setting over dimension $d$, we match full-matrix $d^2$
memory regret using only $dk$ memory up to additive error in the bottom $d-k$
eigenvalues of the gradient covariance. Further, we show extensions of our work
to Shampoo, resulting in a method competitive in quality with Shampoo and Adam,
yet requiring only sub-linear memory for tracking second moments. | [
0.021737227216362953,
-0.03754958510398865,
-0.03894031047821045,
-0.04290292412042618,
0.03880695253610611,
0.036196961998939514,
-0.0038268761709332466,
0.026842905208468437,
-0.05376201495528221,
0.03747338056564331,
-0.0028386039193719625,
-0.033739376813173294,
0.04831341654062271,
-0.021870585158467293,
0.02164197340607643,
0.022727882489562035,
0.05113296955823898,
-0.01365006435662508,
0.023356566205620766,
-0.0420265756547451,
0.028176477178931236,
-0.015450387261807919,
-0.045036640018224716,
-0.02328036166727543,
-0.023794738575816154,
0.04915166273713112,
0.006301128771156073,
0.021565768867731094,
-0.06568796187639236,
0.038159217685461044,
0.007987145334482193,
0.018936725333333015,
-0.05296187102794647,
-0.05120917409658432,
-0.006867897231131792,
-0.0027004838921129704,
0.09136874973773956,
0.002848129253834486,
0.020594166591763496,
0.00839674286544323,
-0.019527308642864227,
-0.030176835134625435,
-0.05566711723804474,
-0.013478605076670647,
0.015983816236257553,
-0.032272450625896454,
-0.02480444498360157,
0.003138657659292221,
-0.01034471020102501,
0.0022861238103359938,
0.01848902739584446,
-0.04309343546628952,
0.04488423094153404,
-0.013878677040338516,
-0.04964698851108551,
0.015393233858048916,
0.07685186713933945,
0.06580226868391037,
0.05509558692574501,
-0.028405088931322098,
-0.018774792551994324,
-0.030576907098293304,
-0.06393526494503021,
-0.02217540144920349,
0.01842234842479229,
-0.03943563625216484,
-0.030576907098293304,
0.018727164715528488,
0.014926483854651451,
0.011897369287908077,
-0.08031915128231049,
-0.01815563440322876,
0.03272967413067818,
0.009596957825124264,
-0.01556469313800335,
0.007658515125513077,
0.06846941262483597,
-0.0014157298719510436,
0.0008489616448059678,
0.00420551560819149,
0.007448953576385975,
0.04214088246226311,
-0.021661024540662766,
0.01137346588075161,
0.05223793163895607,
-0.06378285586833954,
0.0026790513657033443,
-0.04781809076666832,
0.05296187102794647,
0.02341371960937977,
-0.054447852075099945,
0.008873018436133862,
0.002072990406304598,
0.011421093717217445,
-0.01642199046909809,
0.0017657926073297858,
-0.0657641664147377,
-0.02333751507103443,
-0.006848846096545458,
0.054485954344272614,
-0.023566126823425293,
0.000988272251561284,
-0.0077728210017085075,
0.0345776230096817,
0.036158859729766846,
-0.031072232872247696,
-0.037359073758125305,
0.005234271287918091,
0.028805160894989967,
0.09533136337995529,
0.010125624015927315,
0.011859267950057983,
-0.013840574771165848,
0.0819956436753273,
-0.030938876792788506,
0.04175986349582672,
-0.03297733515501022,
-0.060239363461732864,
0.01911771111190319,
-0.007329884916543961,
0.01062095072120428,
0.053990624845027924,
0.0018550942186266184,
0.02935764007270336,
-0.06629759073257446,
-0.0019253449281677604,
0.02185153402388096,
0.004362686537206173,
0.019774971529841423,
0.014983637258410454,
0.016117174178361893,
-0.019470155239105225,
0.03105318360030651,
-0.0015062222955748439,
0.010392338037490845,
0.030214937403798103,
0.06477350741624832,
0.01798417419195175,
-0.004877064377069473,
-0.01726023480296135,
-0.04678933694958687,
0.016136225312948227,
-0.012754666619002819,
0.03716856241226196,
0.01608859747648239,
-0.010554271750152111,
-0.0270715169608593,
0.006077279336750507,
-0.01905103214085102,
0.0637066513299942,
-0.05018042027950287,
0.06747875362634659,
-0.007310833781957626,
-0.0039507076144218445,
0.04652262106537819,
-0.010116098448634148,
-0.0366351343691349,
-0.060506079345941544,
0.016317209228873253,
-0.07147947698831558,
0.059972651302814484,
0.02171817608177662,
0.01326904445886612,
0.03434901311993599,
0.0569244846701622,
0.04126453772187233,
-0.008191944099962711,
-0.011602078564465046,
-0.02230875939130783,
0.04210278019309044,
0.014707396738231182,
-0.0035482547245919704,
-0.011001971550285816,
0.021756278350949287,
-0.0433601513504982,
0.06591657549142838,
-0.005605766084045172,
-0.016545820981264114,
-0.013192839920520782,
-0.040883515030145645,
-0.004362686537206173,
0.021203799173235893,
0.009101631119847298,
0.04046439379453659,
0.07970952242612839,
-0.004631782416254282,
0.025261668488383293,
0.04812290892004967,
0.04579868167638779,
-0.03533966466784477,
0.046370211988687515,
0.005300949793308973,
0.026976261287927628,
-0.020270299166440964,
0.03836878016591072,
-0.06603087484836578,
-0.022994596511125565,
-0.011563976295292377,
0.04705604910850525,
-0.011430619284510612,
-0.0576484240591526,
-0.06911714375019073,
0.02021314576268196,
-0.018431873992085457,
0.00479609752073884,
-0.04214088246226311,
0.033167846500873566,
0.0004197180678602308,
0.046065397560596466,
-0.029967274516820908,
0.056276749819517136,
0.0025314060039818287,
-0.037225715816020966,
-0.08077637851238251,
-0.013669115491211414,
-0.019460629671812057,
0.025166412815451622,
-0.017184030264616013,
0.026023710146546364,
-0.05216172710061073,
0.005329526495188475,
-0.012668936513364315,
0.049227867275476456,
-0.002764781005680561,
0.01532655581831932,
0.025147363543510437,
0.00031553272856399417,
0.009801756590604782,
-0.01908913441002369,
-0.022823136299848557,
0.00649163918569684,
-0.03135799989104271,
-0.003360125934705138,
-0.012659410946071148,
0.00967792421579361,
-0.02021314576268196,
-0.025395026430487633,
-0.027719251811504364,
0.0001918498455779627,
-0.02377568930387497,
0.025090210139751434,
-0.005786750931292772,
-0.0507519505918026,
-0.03854023665189743,
0.0016157657373696566,
0.0025123548693954945,
-0.04865633696317673,
0.04915166273713112,
0.06923145055770874,
0.025623638182878494,
-0.047398969531059265,
-0.04031198471784592,
-0.03328215330839157,
-0.006624996662139893,
-0.0004012623685412109,
0.013507181778550148,
-0.0301577840000391,
-0.03431091085076332,
-0.020098838955163956,
-0.01122105773538351,
0.09281662851572037,
0.004934217315167189,
-0.01871763914823532,
0.019279643893241882,
-0.006544029805809259,
0.013764371164143085,
0.07140327244997025,
0.0034553809091448784,
0.02158482000231743,
0.0072870198637247086,
0.0059105828404426575,
-0.007991908118128777,
-0.027014363557100296,
-0.052123624831438065,
0.042445700615644455,
-0.06321132183074951,
-0.006910761818289757,
-0.04720845818519592,
0.04934217408299446,
0.020632268860936165,
0.031967632472515106,
-0.016183851286768913,
-0.0011960476404055953,
-0.01304995734244585,
0.004953268449753523,
-0.01885099709033966,
-0.014507360756397247,
-0.03198668360710144,
0.016669653356075287,
-0.007853788323700428,
-0.006848846096545458,
-0.010354235768318176,
-0.03617791086435318,
0.004736562725156546,
0.026614291593432426,
0.03808301314711571,
-0.014288274571299553,
-0.01616480015218258,
0.025414077565073967,
-0.0433601513504982,
-0.07231771945953369,
-0.009101631119847298,
0.02444247528910637,
-0.0260999146848917,
0.030976979061961174,
0.00811097677797079,
-0.02703341469168663,
0.014526411890983582,
0.01632673479616642,
-0.004850869067013264,
0.03754958510398865,
-0.011163905262947083,
0.026118965819478035,
-0.028138374909758568,
-0.0028886126819998026,
-0.014088238589465618,
0.04137884080410004,
0.0002034590725088492,
-0.006062990985810757,
-0.06725014746189117,
0.019774971529841423,
-0.011268685571849346,
-0.09312144666910172,
-0.040388189256191254,
0.06580226868391037,
-0.016402939334511757,
-0.0024301973171532154,
0.03665418550372124,
-0.03326310217380524,
0.03962614759802818,
-0.03573973849415779,
0.022937443107366562,
-0.05071384832262993,
-0.0008215757552534342,
-0.04964698851108551,
0.05673397332429886,
-0.03078646771609783,
0.020460808649659157,
-0.006282078102231026,
-0.04362686350941658,
0.012545105069875717,
-0.0352444089949131,
-0.010487593710422516,
0.0076299384236335754,
0.012430798262357712,
0.00555337592959404,
-0.003693518927320838,
0.00047687115147709846,
0.020670369267463684,
-0.03977855667471886,
0.0010168488370254636,
0.03431091085076332,
-0.029300488531589508,
-0.009916062466800213,
0.06263979524374008,
-0.08169082552194595,
-0.008806339465081692,
0.043512556701898575,
-0.04751327633857727,
-0.007296545431017876,
0.012364120222628117,
-0.03381558135151863,
-0.0301577840000391,
-0.023851891979575157,
-0.016907790675759315,
0.015917137265205383,
-0.03833067789673805,
-0.024956852197647095,
0.012183135375380516,
0.06260169297456741,
-0.0004363877233117819,
-0.017374541610479355,
-0.010640001855790615,
0.011897369287908077,
-0.00806334987282753,
0.01338335033506155,
0.008653931319713593,
-0.036863747984170914,
-0.024347219616174698,
0.03913082182407379,
-0.03461572527885437,
-0.052618950605392456,
-0.00025138433557003736,
-0.011973573826253414,
0.09357867389917374,
0.056314852088689804,
-0.03703520819544792,
0.01798417419195175,
0.04850392788648605,
0.020498910918831825,
0.0021241900976747274,
-0.09197838604450226,
-0.002175389789044857,
0.017050674185156822,
0.04564627259969711,
-0.00470560509711504,
0.010449491441249847,
0.009563618339598179,
0.0018443780718371272,
0.006677386816591024,
-0.05490507557988167,
0.01579330675303936,
-0.09053050726652145,
-0.0284622423350811,
0.036692287772893906,
-0.007668040692806244,
0.008582490496337414,
-0.005010421387851238,
0.04214088246226311,
0.03206288814544678,
0.02333751507103443,
-0.02939574234187603,
-0.028443191200494766,
0.03171996772289276,
0.03488244116306305,
0.01855570636689663,
0.000929333153180778,
-0.017469797283411026,
-0.01206882856786251,
0.008615829050540924,
-0.011992624960839748,
-0.02204204350709915,
0.004777046386152506,
-0.0064059095457196236,
-0.006872660014778376,
0.025947505608201027,
0.03701615706086159,
-0.015536116436123848,
-0.0074203768745064735,
-0.031910479068756104,
0.0045008063316345215,
0.03335835784673691,
0.00889683235436678,
-0.04256000742316246,
-0.04907545819878578,
0.013497656211256981,
-0.005786750931292772,
0.04488423094153404,
0.003472050651907921,
0.02141335979104042,
0.01220218650996685,
-0.02105139009654522,
-0.020956136286258698,
0.03105318360030651,
0.03648272529244423,
0.023985249921679497,
-0.03130084648728371,
0.0013716743560507894,
-0.006705963518470526,
-0.0752134770154953,
-0.09502655267715454,
-0.001282372628338635,
-0.07925229519605637,
-0.047665681689977646,
0.011382991448044777,
-0.02211824804544449,
0.05711499601602554,
-0.0311293862760067,
0.01649819314479828,
-0.07498486340045929,
0.04732276499271393,
-0.01168780867010355,
0.078490249812603,
0.0006364235305227339,
-0.026823854073882103,
0.04370306804776192,
-0.010897190310060978,
-0.04122643545269966,
-0.00782997440546751,
0.004672265611588955,
0.008139553479850292,
-0.04858013242483139,
-0.0332440510392189,
0.05170450359582901,
0.03345361351966858,
0.05909630283713341,
-0.025490282103419304,
-0.1050092875957489,
-0.007410851772874594,
0.027947863563895226,
0.03429185971617699,
0.010963869281113148,
0.012116456404328346,
-0.05040903016924858,
-0.03943563625216484,
0.01994643174111843,
0.04850392788648605,
0.02394714765250683,
0.006267789751291275,
-0.03783535212278366,
-0.0007150090532377362,
0.05284756422042847,
-0.013373824767768383,
-0.012297441251575947,
0.02025124803185463,
-0.012345069088041782,
-0.034234706312417984,
-0.040083371102809906,
0.09502655267715454,
0.0006632140721194446,
0.061230018734931946,
0.027509691193699837,
-0.007510869298130274,
-0.012249813415110111,
-0.01768888346850872,
-0.011983099393546581,
0.007872839458286762,
-0.012449849396944046,
-0.0036435099318623543,
-0.018003225326538086,
0.02569984272122383,
0.04435080289840698,
0.00331726111471653,
-0.07887127250432968,
-0.020003583282232285,
0.009182597510516644,
0.030081579461693764,
-0.03168186545372009,
0.027509691193699837,
0.022804085165262222,
0.014516886323690414,
0.020270299166440964,
-0.014926483854651451,
-0.014554988592863083,
-0.03631126880645752,
0.08809197694063187,
0.013078534044325352,
-0.010411389172077179,
0.09898916631937027,
-0.021927738562226295,
0.02952910028398037,
0.03650177642703056,
-0.015888560563325882,
-0.04103592410683632,
0.009377870708703995,
-0.002507592085748911,
0.0297958143055439,
0.016879213973879814,
-0.00446270452812314,
0.016612499952316284,
-0.01646009273827076,
0.011049598455429077,
0.004207897000014782,
0.004624638240784407,
0.02164197340607643,
-0.00929214060306549,
-0.010268506594002247,
-0.04968509078025818,
-0.019565410912036896,
0.01954635977745056,
-0.034634776413440704,
0.025318821892142296,
-0.050028011202812195,
-0.003867359599098563,
-0.03126274421811104,
-0.004729419015347958,
-0.0029338588938117027,
0.002220636000856757,
-0.005467646289616823,
-0.019298695027828217,
0.033072590827941895,
-0.015574218705296516,
0.04858013242483139,
-0.0359111949801445,
-0.022251605987548828,
-0.014154916629195213,
0.06526883691549301,
0.04621780291199684,
-0.026385679841041565,
0.017003046348690987,
0.03282492980360985,
-0.006315417122095823,
-0.027623996138572693,
-0.034996747970581055,
-0.021337157115340233,
0.016202902421355247,
0.01971781812608242,
-0.010068470612168312,
0.018574755638837814,
0.014212070032954216,
0.054714564234018326,
-0.022137299180030823,
0.03404419496655464,
-0.0003691137535497546,
-0.028881365433335304,
0.007991908118128777,
-0.008001433685421944,
-0.023432768881320953,
0.006091567687690258,
-0.039359431713819504,
-0.0058058020658791065,
0.05181880667805672,
-0.019212966784834862,
-0.0046151126734912395,
-0.040654901415109634,
0.0017038766527548432,
0.01865096017718315,
0.019470155239105225,
0.04019767791032791,
-0.04385547712445259,
0.01007799617946148,
0.03854023665189743,
-0.008506285957992077,
0.011087700724601746,
-0.02364233136177063,
0.0017467414727434516,
0.04309343546628952,
0.01948920637369156,
-0.005424781236797571,
0.024632984772324562,
-0.01144014485180378,
0.0028076458256691694,
0.02150861546397209,
-0.04175986349582672,
0.005019946955144405,
0.00008461337711196393,
0.025718893855810165,
0.0009430260979570448,
-0.03701615706086159,
0.008030010387301445,
0.05166640132665634,
0.032501060515642166,
0.04309343546628952,
-0.011421093717217445,
0.05326668545603752,
0.04404598847031593,
-0.002056320896372199,
-0.0014883618569001555,
-0.005877243354916573,
-0.032139092683792114,
-0.01848902739584446,
0.008458658121526241,
-0.062334977090358734,
-0.005367628298699856,
-0.02703341469168663,
-0.006958389654755592,
-0.013526232913136482,
-0.0028147900011390448,
0.006920287385582924,
0.032539162784814835,
-0.011744961142539978,
0.02274693176150322,
0.008658694103360176,
-0.01077335886657238,
-0.004093590658158064,
-0.002598084509372711,
0.033034488558769226,
0.004581773187965155,
0.023661382496356964,
0.048199113458395004,
0.037397176027297974,
0.021984891965985298,
0.015250351279973984,
0.03674944117665291,
0.017831766977906227,
0.02992917224764824,
0.03760673850774765,
-0.02047985978424549,
0.018679536879062653,
-0.02859560027718544,
0.0325201116502285,
0.02587130106985569,
-0.009897011332213879,
0.0032529637683182955,
0.05749601498246193,
0.017641255632042885,
0.03175806999206543,
0.0216800756752491,
-0.002445676364004612,
0.043245844542980194,
0.006382095627486706,
-0.004527001641690731,
-0.040388189256191254,
0.009730314835906029,
0.05128537863492966,
-0.03301543742418289,
-0.004891352728009224,
0.04023578017950058,
0.019832124933600426,
-0.007125086151063442,
0.014193018898367882,
-0.031643763184547424,
0.02390904538333416,
-0.04214088246226311,
-0.03507294878363609,
-0.011602078564465046,
-0.014936009421944618,
0.00446270452812314,
-0.05334288999438286,
-0.02164197340607643,
-0.03928322717547417,
-0.011735435575246811,
-0.008849204517900944,
0.014526411890983582,
0.02074657380580902,
0.010411389172077179,
-0.0065106903202831745,
0.0036292215809226036,
-0.03271062299609184,
0.04050249606370926,
-0.010716205462813377,
0.017403118312358856,
0.010830512270331383,
0.02047985978424549,
0.02185153402388096,
-0.012497477233409882,
-0.006134432274848223,
0.0359111949801445,
-0.018098480999469757,
-0.03612075746059418,
0.0030291141010820866,
-0.005872480571269989,
-0.006986965890973806,
0.01962256245315075,
0.019965481013059616,
0.002574270823970437,
0.006001075264066458,
-0.009630297310650349,
-0.02047985978424549,
0.011297262273728848,
-0.014154916629195213,
0.01623147912323475,
-0.01104007288813591,
-0.052085522562265396,
0.04332204908132553,
0.04103592410683632,
0.052885666489601135,
-0.010649527423083782,
-0.006972678005695343,
0.007115560583770275,
0.005586715415120125,
-0.03128179535269737,
-0.036025501787662506,
-0.024994954466819763,
0.016174325719475746,
-0.008768237195909023,
-0.007487055845558643,
0.06751685589551926,
-0.016441041603684425,
-0.01808895543217659,
-0.011202006600797176,
-0.022918391972780228,
0.00856343936175108,
-0.011249634437263012,
-0.02427101507782936,
0.008415794000029564,
-0.008182418532669544,
0.026480935513973236,
0.005610528867691755,
0.03183427453041077,
-0.03947373852133751,
-0.03368222340941429,
0.01715545542538166,
0.011754486709833145,
-0.04701794683933258,
-0.03265346959233284,
0.002343276981264353,
-0.011973573826253414,
0.031167488545179367,
-0.014593090862035751,
0.0016979232896119356,
0.014021559618413448,
-0.007558497134596109,
0.028176477178931236,
0.043969783931970596,
0.013745320029556751,
-0.026995312422513962,
-0.01835566945374012,
0.008873018436133862,
-0.029243335127830505,
0.03713046386837959,
0.011411568149924278,
0.014002508483827114,
-0.03532061353325844,
-0.05795324221253395,
0.02533787302672863,
0.030881723389029503,
0.010297083295881748,
0.006939338520169258,
0.013402401469647884,
-0.015116994269192219,
0.0358540415763855,
0.0008025247370824218,
0.03130084648728371,
0.012659410946071148,
-0.014126340858638287,
0.03152946010231972,
-0.016869688406586647,
0.0006394002703018486,
0.03558732941746712,
0.010649527423083782,
0.010944818146526814,
0.003081504488363862,
-0.025414077565073967,
0.05635295435786247,
0.01010657288134098,
-0.024861596524715424,
-0.02181343175470829,
-0.07018399983644485,
-0.06111571192741394,
0.005034235306084156,
-0.003248200984671712,
0.01514557097107172,
0.02150861546397209,
-0.02556648477911949,
0.012611783109605312,
0.04149314761161804,
-0.000037618348869727924,
0.00640114676207304,
0.0014538319082930684,
0.007396563421934843,
0.014459733851253986,
-0.013116635382175446,
0.00017473369371145964,
-0.0029910120647400618,
-0.024823494255542755,
-0.07346078008413315,
-0.045341458171606064,
-0.01144014485180378,
0.019736869260668755,
-0.02970055863261223,
0.018879573792219162,
-0.013840574771165848,
-0.009711263701319695,
-0.013792947866022587,
-0.02051796205341816,
-0.009354056790471077,
-0.015583744272589684,
-0.010154199786484241,
-0.013669115491211414,
0.028748007491230965,
0.029643407091498375,
-0.0024170996621251106,
0.03404419496655464,
-0.0076728034764528275,
0.007272731512784958,
-0.002022981410846114,
0.009068291634321213,
0.01878431811928749,
0.021070441231131554,
0.008772999979555607,
-0.037759147584438324,
-0.030386395752429962,
-0.0004908617702312768,
0.008196706883609295,
-0.042217087000608444,
0.017650781199336052,
0.03505390137434006,
0.006520215887576342,
0.00799667090177536,
0.027852609753608704,
0.024251963943243027,
0.06222067028284073,
-0.04709415137767792,
0.0006376142264343798,
-0.016536295413970947,
0.027147721499204636,
0.024118607863783836,
-0.012659410946071148,
-0.03951184079051018,
0.0461416020989418,
0.03564448282122612,
0.008353877812623978,
0.001175805926322937,
0.024556780233979225,
-0.007353698369115591,
0.0004917547921650112,
-0.007029830943793058,
-0.052428439259529114,
-0.07212720811367035,
-0.006663098465651274,
0.011544925160706043,
0.020594166591763496,
0.00902542658150196,
0.003376795444637537,
0.014659769833087921,
-0.014059661887586117,
-0.008782525546848774,
0.004034056328237057,
-0.017212606966495514,
0.0027100094594061375,
0.007544208783656359,
0.0029362402856349945,
-0.029586253687739372,
0.08306249976158142,
0.006139195058494806,
0.05120917409658432,
0.026995312422513962,
0.0035506361164152622,
-0.021127594634890556,
-0.0027147720102220774,
0.023832840844988823,
-0.009877960197627544,
-0.011459195986390114,
-0.012592731975018978,
0.044846128672361374,
0.009273090399801731,
0.04305533319711685,
0.011344890110194683,
0.004808004479855299,
-0.005948684643954039,
-0.0253759752959013,
-0.025661740452051163,
-0.030272090807557106,
0.01815563440322876,
-0.00404834421351552,
0.04412218928337097,
-0.00010917134204646572,
0.07517537474632263,
-0.01019230205565691,
-0.01396440714597702,
0.022804085165262222,
0.02364233136177063,
-0.02886231429874897,
0.04183606803417206,
0.048465825617313385,
-0.018774792551994324,
-0.025947505608201027,
0.02564268931746483,
-0.017307862639427185,
0.01405013632029295,
-0.007196527440100908,
0.055781424045562744,
0.07955711334943771,
-0.025490282103419304,
-0.007777583785355091,
-0.010459017008543015,
0.000346788321621716,
-0.002555219689384103,
0.01579330675303936,
-0.03627316653728485,
0.043474454432725906,
0.02962435595691204,
0.009792231023311615,
0.04259810969233513,
0.03274872526526451,
-0.023356566205620766,
0.02663334272801876,
-0.008320538327097893,
0.0038983174599707127,
-0.01529797911643982,
0.02886231429874897,
0.02154671773314476,
-0.0020217907149344683,
0.024690138176083565,
-0.07730908691883087,
0.051475889980793,
-0.01802227646112442,
-0.01975592039525509,
-0.025795098394155502,
0.005158067215234041,
-0.0366351343691349,
0.007439428009092808,
-0.011278211139142513,
0.004431746434420347,
-0.025280719622969627,
-0.012659410946071148,
0.030253039672970772,
0.00006426002801163122,
0.05216172710061073,
-0.0009817235404625535,
0.019470155239105225,
-0.0014550226042047143,
0.005305712576955557,
-0.01962256245315075,
0.004605587106198072,
-0.01235459465533495,
-0.06343993544578552,
-0.04172176122665405,
0.007229866925626993,
-0.021661024540662766,
-0.02564268931746483,
0.019794022664427757,
-0.012306966818869114,
-0.032501060515642166,
0.011849742382764816,
-0.007763295900076628,
-0.037454329431056976,
-0.031243693083524704,
-0.0002582307788543403,
0.0005902843549847603,
0.008434844203293324,
0.028709905222058296,
0.02909092605113983,
-0.011744961142539978,
0.007072695530951023,
0.01043996587395668,
0.0012621309142559767,
-0.055514708161354065,
-0.0025576010812073946,
-0.07589931041002274,
0.010811461135745049,
0.05665776878595352,
0.0018158014863729477,
-0.03625411540269852,
-0.016002867370843887,
-0.02400430105626583,
-0.009173071943223476,
-0.001364530180580914,
0.0009037333657033741,
-0.002543312730267644,
-0.029872018843889236,
0.020289350301027298,
0.04991370439529419,
0.052123624831438065,
0.0020896601490676403,
0.0371876135468483,
-0.00303387688472867,
-0.020308399572968483,
0.023051749914884567,
-0.0002682028280105442,
-0.0059105828404426575,
0.017717460170388222,
0.023756638169288635,
0.01686016283929348,
-0.006010600831359625,
-0.00631065433844924,
-0.024385321885347366,
0.015526591800153255,
0.022670729085803032,
0.013659589923918247,
-0.04183606803417206,
-0.01122105773538351,
-0.033301204442977905
] |
Local governments increasingly use artificial intelligence (AI) for automated
decision-making. Contestability, making systems responsive to dispute, is a way
to ensure they respect human rights to autonomy and dignity. We investigate the
design of public urban AI systems for contestability through the example of
camera cars: human-driven vehicles equipped with image sensors. Applying a
provisional framework for contestable AI, we use speculative design to create a
concept video of a contestable camera car. Using this concept video, we then
conduct semi-structured interviews with 17 civil servants who work with AI
employed by a large northwestern European city. The resulting data is analyzed
using reflexive thematic analysis to identify the main challenges facing the
implementation of contestability in public AI. We describe how civic
participation faces issues of representation, public AI systems should
integrate with existing democratic practices, and cities must expand capacities
for responsible AI development and operation. | [
-0.005692165810614824,
-0.013797934167087078,
-0.035572152584791183,
-0.04429427161812782,
0.020272189751267433,
0.02854887954890728,
-0.011011415161192417,
0.03219518065452576,
-0.030620642006397247,
0.00015279244689736515,
-0.009198622778058052,
-0.013290353119373322,
0.008126486092805862,
-0.0051794047467410564,
0.006448359228670597,
-0.025006167590618134,
0.0015486420597881079,
0.01717490702867508,
-0.04058581590652466,
-0.04004715755581856,
0.025710565969347954,
0.0037887345533818007,
-0.04483292996883392,
-0.0024653966538608074,
0.006577844265848398,
0.024446791037917137,
0.02421889640390873,
0.020002862438559532,
-0.04988802596926689,
0.03120073489844799,
0.04338269680738449,
0.016853783279657364,
-0.02720223367214203,
-0.013963675126433372,
-0.018262581899762154,
-0.003962244838476181,
0.033500391989946365,
0.005562680773437023,
0.0649704560637474,
0.04429427161812782,
-0.03341751918196678,
-0.048727840185165405,
0.021018024533987045,
-0.03412191942334175,
-0.029294714331626892,
-0.01424336340278387,
-0.03934276103973389,
0.006883428897708654,
-0.027823762968182564,
0.03310675546526909,
0.07760820537805557,
-0.03807898610830307,
0.03998500481247902,
-0.036587316542863846,
-0.01727849431335926,
-0.01311425305902958,
0.012617030180990696,
-0.03472273051738739,
-0.015237809158861637,
0.005350325256586075,
0.04508154094219208,
-0.0023993593640625477,
-0.02881820872426033,
0.013725423254072666,
0.006914505735039711,
-0.041683848947286606,
0.01982676237821579,
0.03492990508675575,
-0.050509557127952576,
-0.005355504807084799,
0.0018684703391045332,
0.017754999920725822,
-0.03478488326072693,
-0.01958850957453251,
0.030081983655691147,
0.013279994018375874,
-0.005021432880312204,
0.004552696831524372,
0.0023566291201859713,
0.022292159497737885,
0.03430837765336037,
-0.02486114390194416,
-0.042595427483320236,
0.005516066215932369,
0.04992946237325668,
0.008312945254147053,
0.03022700734436512,
-0.08925150334835052,
0.04375561326742172,
-0.02643568255007267,
-0.06646212190389633,
-0.008328483439981937,
-0.04673894867300987,
-0.046241726726293564,
-0.028528161346912384,
-0.03542713075876236,
0.041310932487249374,
0.013870446011424065,
-0.05954243987798691,
-0.04079299420118332,
0.001004804507829249,
-0.021007666364312172,
0.03039274737238884,
-0.001760997693054378,
0.04827205464243889,
-0.042015332728624344,
-0.04095873236656189,
-0.009343646466732025,
0.07433481514453888,
0.1587798297405243,
-0.02210569940507412,
0.009918560273945332,
-0.01643943041563034,
0.00423416355624795,
-0.10416819155216217,
0.047484785318374634,
-0.03633870556950569,
-0.03526138886809349,
0.014201927930116653,
0.05883803963661194,
0.0029289533849805593,
0.009757998399436474,
0.07164152711629868,
-0.03809970244765282,
-0.0025184855330735445,
0.042056769132614136,
0.0037965038791298866,
-0.02784448117017746,
0.06807810068130493,
0.0336039774119854,
-0.02183637022972107,
0.03596578910946846,
0.008193818852305412,
-0.00032792106503620744,
-0.0035556615330278873,
0.040378641337156296,
0.012088730931282043,
0.004283367656171322,
0.005417657550424337,
0.011228949762880802,
0.002403243910521269,
-0.004161651711910963,
-0.07731815427541733,
0.07238736003637314,
-0.030910687521100044,
0.03546856343746185,
-0.024239614605903625,
0.04541302099823952,
-0.04236753284931183,
0.037643913179636,
-0.04462575167417526,
0.008955190889537334,
-0.028901079669594765,
-0.02707792818546295,
0.0812545046210289,
0.00038489451981149614,
-0.014782021753489971,
-0.01727849431335926,
-0.020551878958940506,
0.023203734308481216,
-0.002947081346064806,
-0.05664197355508804,
0.010234504006803036,
0.023804545402526855,
0.06898967176675797,
-0.020790131762623787,
0.010804238729178905,
-0.011405049823224545,
-0.038700513541698456,
0.05643479526042938,
-0.011228949762880802,
-0.04133165255188942,
-0.007427266798913479,
-0.03944634646177292,
0.03971567749977112,
-0.001004804507829249,
0.04707043245434761,
0.014295157045125961,
-0.034536272287368774,
0.01007912214845419,
-0.06459753960371017,
0.002170170657336712,
-0.006696970667690039,
0.0387212298810482,
-0.0224786177277565,
0.050509557127952576,
0.10267652571201324,
-0.05784359201788902,
0.047111865133047104,
-0.007142399437725544,
0.017392441630363464,
-0.012585953809320927,
0.0254619549959898,
-0.024633249267935753,
-0.02073833718895912,
-0.082911916077137,
-0.012648106552660465,
-0.09165474772453308,
-0.010565985925495625,
0.023224450647830963,
-0.022395746782422066,
-0.027803044766187668,
-0.01945384405553341,
0.016698401421308517,
0.04296834394335747,
0.0031931030098348856,
-0.01874944567680359,
0.0010831430554389954,
-0.020655466243624687,
-0.030889971181750298,
-0.007940027862787247,
0.001836099079810083,
0.02778232842683792,
-0.047650523483753204,
-0.05854799225926399,
-0.018003610894083977,
0.004684771876782179,
0.0002063669089693576,
-0.005749139469116926,
-0.005619654431939125,
-0.015362114645540714,
0.0079866424202919,
-0.027222951874136925,
-0.0008228779770433903,
-0.01007912214845419,
-0.010255221277475357,
0.03749889135360718,
-0.01972317323088646,
0.0099496366456151,
-0.016563735902309418,
-0.038120418787002563,
0.02160847745835781,
-0.008266329765319824,
0.002848672680556774,
0.04566163197159767,
0.016056155785918236,
0.026207787916064262,
-0.011446484364569187,
-0.003032541600987315,
0.015351756475865841,
-0.04615885764360428,
0.005510886665433645,
-0.05233270674943924,
-0.029439738020300865,
0.09745568037033081,
-0.04483292996883392,
0.008333662524819374,
0.07201444357633591,
0.0268085990101099,
0.03401833027601242,
-0.05651766434311867,
0.05158687382936478,
-0.012047295458614826,
-0.013290353119373322,
0.004552696831524372,
0.04155954346060753,
0.02150488831102848,
-0.018728727474808693,
-0.0008280573529191315,
-0.021422019228339195,
0.05175261199474335,
0.010824955999851227,
-0.02832098677754402,
0.07611653208732605,
-0.0655505508184433,
-0.07425194978713989,
0.0010760213481262326,
0.0067953793331980705,
-0.017216341570019722,
-0.007841618731617928,
0.0023967695888131857,
-0.03673233836889267,
-0.019039493054151535,
0.04429427161812782,
0.008302586153149605,
0.02649783529341221,
-0.035344257950782776,
0.013362864963710308,
-0.007121681701391935,
-0.022602923214435577,
0.013932598754763603,
-0.03693951666355133,
0.07967996597290039,
-0.07648944854736328,
-0.062277164310216904,
-0.05602044239640236,
-0.006878249812871218,
-0.003848297754302621,
-0.05908665060997009,
-0.019909631460905075,
-0.02931543067097664,
-0.01865621656179428,
-0.025337649509310722,
-0.05585470050573349,
0.023700956255197525,
0.003309639636427164,
0.003773196367546916,
-0.07412764430046082,
0.00989784300327301,
0.016460148617625237,
-0.01962994411587715,
-0.05291280150413513,
-0.006153132766485214,
0.037623196840286255,
0.017092036083340645,
0.028093092143535614,
0.0054849898442626,
0.025316931307315826,
-0.010006610304117203,
-0.0031257709488272667,
0.001420451793819666,
0.03739530220627785,
-0.03625583276152611,
0.013549323193728924,
0.020386137068271637,
0.07860264927148819,
0.026995059102773666,
0.00356860994361341,
-0.01343537587672472,
-0.007116502150893211,
0.028030939400196075,
0.01184011995792389,
-0.09952744096517563,
0.032795991748571396,
-0.038224007934331894,
0.00905877910554409,
0.006054724100977182,
0.014771662652492523,
-0.004834974650293589,
-0.0011375268222764134,
-0.0769452378153801,
-0.0014178621349856257,
0.011135720647871494,
-0.016325484961271286,
-0.006821276154369116,
-0.023141581565141678,
-0.044957235455513,
0.0579678975045681,
0.007411728147417307,
-0.022561486810445786,
0.011073567904531956,
-0.022768663242459297,
-0.062111422419548035,
0.005122431553900242,
0.017433876171708107,
-0.01835581101477146,
-0.015103144571185112,
0.004430980887264013,
-0.022499334067106247,
-0.023638803511857986,
0.0013188059674575925,
-0.016159743070602417,
0.007214910816401243,
0.009519746527075768,
0.05345145985484123,
0.03596578910946846,
-0.02318301610648632,
-0.05386580899357796,
-0.011601867154240608,
0.017765358090400696,
0.057014890015125275,
-0.07400333881378174,
-0.030309876427054405,
0.029501890763640404,
-0.05937669798731804,
-0.01976460963487625,
-0.03725028038024902,
0.011570790782570839,
0.006122056394815445,
-0.013611475937068462,
-0.030972840264439583,
0.019733533263206482,
-0.03153221681714058,
0.00989784300327301,
0.007468701805919409,
-0.033769719302654266,
0.008918935433030128,
-0.084527887403965,
-0.011715813539922237,
0.03267168626189232,
0.00439472496509552,
-0.020790131762623787,
0.019567791372537613,
0.05108964815735817,
-0.05846512317657471,
0.05428016185760498,
0.04545445740222931,
-0.010918185114860535,
0.055274609476327896,
0.055813267827034,
0.0017881895182654262,
-0.0051379697397351265,
-0.015175656415522099,
-0.051918353885412216,
-0.014761303551495075,
0.040544379502534866,
0.05954243987798691,
0.009431696496903896,
0.03434981405735016,
-0.04400422424077988,
0.02502688392996788,
-0.00564555125311017,
-0.008053974248468876,
0.01025004219263792,
0.0028357242699712515,
0.022955121472477913,
-0.0433412604033947,
-0.02794806845486164,
-0.034909188747406006,
-0.0254619549959898,
-0.0000922581457416527,
0.0024200768675655127,
0.012223395518958569,
0.025441236793994904,
0.00170661392621696,
0.005681807175278664,
-0.010990696959197521,
0.02200211212038994,
0.032423075288534164,
-0.038659077137708664,
-0.03022700734436512,
0.021794935688376427,
0.001990186283364892,
-0.00983051024377346,
0.018158992752432823,
0.02200211212038994,
-0.02606276609003544,
-0.013777216896414757,
-0.033231060951948166,
-0.03942563012242317,
0.04247111827135086,
-0.017972534522414207,
-0.013279994018375874,
-0.032692402601242065,
0.0012391726486384869,
0.04777482897043228,
-0.009426516480743885,
0.018801240250468254,
-0.026622140780091286,
0.05639335885643959,
-0.032961733639240265,
-0.002840903587639332,
0.014554128050804138,
-0.0262699406594038,
-0.06057832017540932,
-0.02026183158159256,
0.01708167791366577,
-0.05274705961346626,
-0.03625583276152611,
-0.047111865133047104,
-0.030537771061062813,
0.019919991493225098,
-0.1045825406908989,
-0.038431182503700256,
0.027699457481503487,
-0.011363614350557327,
-0.004208266269415617,
-0.07702811062335968,
-0.021318430081009865,
-0.034536272287368774,
0.020810848101973534,
0.03907343000173569,
0.002515895990654826,
0.004728796426206827,
0.010384706780314445,
0.03696023300290108,
-0.029543325304985046,
-0.06820240616798401,
0.00652605015784502,
-0.004959280136972666,
0.013228200376033783,
0.03766463324427605,
-0.02231287583708763,
0.020551878958940506,
0.008991447277367115,
0.0037680170498788357,
-0.0010844379430636764,
-0.001911200350150466,
-0.011995501816272736,
-0.037291716784238815,
0.03741602227091789,
0.008716938085854053,
0.0014955531805753708,
-0.017133470624685287,
0.026477117091417313,
0.009405799210071564,
0.0514625683426857,
-0.019443485885858536,
-0.03747817501425743,
-0.04566163197159767,
-0.014067263342440128,
0.013103893958032131,
0.03892840817570686,
0.0021313251927495003,
-0.020676184445619583,
-0.002565100323408842,
0.0055471425876021385,
-0.009654411114752293,
0.025855589658021927,
0.03267168626189232,
-0.023307321593165398,
0.003275973489508033,
-0.05204265937209129,
-0.011829760856926441,
-0.006520870607346296,
-0.03408048301935196,
-0.014170851558446884,
0.03932204097509384,
0.007468701805919409,
0.019982144236564636,
0.010907826945185661,
-0.004935972858220339,
0.0064224619418382645,
-0.05626905336976051,
0.029812654480338097,
-0.01576610840857029,
0.0384519025683403,
-0.0214013010263443,
0.0030144136399030685,
0.006277438718825579,
-0.013300711289048195,
-0.041352368891239166,
-0.0260006133466959,
0.008711759001016617,
-0.03126288950443268,
0.036152247339487076,
0.04479149356484413,
0.0010125736007466912,
0.014056905172765255,
-0.039197735488414764,
-0.030102701857686043,
0.021981393918395042,
-0.030972840264439583,
-0.024840425699949265,
0.03227804973721504,
-0.055233173072338104,
0.038265444338321686,
0.025316931307315826,
0.025441236793994904,
-0.03542713075876236,
-0.03722956404089928,
0.03901127725839615,
0.00732885766774416,
0.022354312241077423,
-0.008540838956832886,
0.01640835404396057,
0.039094146341085434,
-0.002219374990090728,
-0.03381115570664406,
-0.016076872125267982,
-0.011073567904531956,
0.011249667033553123,
0.011726172640919685,
0.05336858704686165,
0.0030144136399030685,
0.006298156455159187,
0.03012341819703579,
0.020645108073949814,
-0.01654301956295967,
-0.00496445968747139,
-0.029501890763640404,
-0.03878338262438774,
-0.014201927930116653,
0.03265096992254257,
-0.008053974248468876,
-0.019370974972844124,
0.038161855190992355,
0.07126861065626144,
-0.013994752429425716,
0.01305210031569004,
-0.04358987137675285,
-0.030641358345746994,
-0.025420518592000008,
-0.05921095609664917,
-0.005857906769961119,
0.020220397040247917,
0.03327249735593796,
-0.06099267303943634,
-0.026124918833374977,
-0.03012341819703579,
0.009913381189107895,
0.031656522303819656,
0.011073567904531956,
0.057885028421878815,
0.022188570350408554,
0.06625494360923767,
-0.01254451833665371,
-0.007365113589912653,
-0.018169352784752846,
-0.00606508320197463,
0.031988006085157394,
0.051379695534706116,
-0.024571096524596214,
-0.009587078355252743,
0.00026641564909368753,
-0.011166797019541264,
0.019598867744207382,
0.011228949762880802,
-0.025068320333957672,
-0.027450846508145332,
0.04004715755581856,
0.07657232135534286,
0.005479810293763876,
-0.0000636904951534234,
-0.003643711330369115,
0.0013544143876060843,
0.017019525170326233,
0.01221303641796112,
-0.00840617436915636,
0.01831437647342682,
-0.014315875247120857,
-0.018065763637423515,
0.039239171892404556,
-0.022768663242459297,
0.03679449111223221,
-0.02006501518189907,
0.03381115570664406,
0.012710259296000004,
0.012958871200680733,
-0.004866051021963358,
0.016915936022996902,
-0.033127471804618835,
0.0389905609190464,
0.023576650768518448,
0.04541302099823952,
0.026477117091417313,
-0.02023075520992279,
0.02258220501244068,
0.026663577184081078,
-0.0011698980815708637,
-0.010949261486530304,
-0.010395065881311893,
0.03213302791118622,
-0.02012716792523861,
-0.004402494058012962,
-0.04586881026625633,
-0.0033277675975114107,
0.05266419053077698,
0.02535836584866047,
-0.07412764430046082,
-0.01105284970253706,
-0.0371052548289299,
-0.05668340623378754,
0.0747491717338562,
-0.014771662652492523,
0.00855637714266777,
-0.023804545402526855,
-0.023390192538499832,
0.02053116075694561,
0.0020601083524525166,
-0.004881589207798243,
0.05162830650806427,
0.010762803256511688,
0.044128529727458954,
-0.017185265198349953,
-0.02053116075694561,
-0.009716563858091831,
0.013197124004364014,
-0.01457484532147646,
0.01942276768386364,
0.009985893033444881,
-0.017692847177386284,
0.020147884264588356,
0.009053600020706654,
-0.004941152408719063,
0.04129021614789963,
0.02914969064295292,
-0.028238115832209587,
-0.024177461862564087,
0.035882916301488876,
-0.012451289221644402,
0.008618529886007309,
-0.03331393375992775,
-0.03689808025956154,
-0.026891469955444336,
-0.009410978294909,
-0.0027062389999628067,
0.05602044239640236,
-0.005021432880312204,
-0.0330653190612793,
-0.004089140333235264,
-0.027968786656856537,
0.007458343170583248,
0.012523801065981388,
-0.0725945383310318,
-0.012068013660609722,
-0.0034313558135181665,
0.04300977662205696,
0.051048215478658676,
-0.01979568600654602,
-0.010042865760624409,
-0.03147006407380104,
0.027430128306150436,
0.02865246683359146,
0.00326302507892251,
-0.00310764298774302,
-0.03693951666355133,
-0.018863392993807793,
0.013777216896414757,
-0.06169706955552101,
-0.009550822898745537,
-0.019246667623519897,
-0.01735100708901882,
0.02237502858042717,
-0.011156437918543816,
0.031345758587121964,
-0.008421712554991245,
0.015248168259859085,
-0.0433412604033947,
0.005495348479598761,
0.016656966879963875,
-0.005163866560906172,
0.02258220501244068,
0.058962345123291016,
0.05324428156018257,
0.03202943876385689,
0.0009154598228633404,
-0.07106143236160278,
0.010659215040504932,
-0.017630694434046745,
0.016397995874285698,
-0.038866255432367325,
0.00885678268969059,
-0.01825222186744213,
-0.016014719381928444,
-0.01278277114033699,
0.01861478202044964,
-0.00485569192096591,
-0.0008461852557957172,
0.0029781577177345753,
0.037022385746240616,
-0.012896718457341194,
-0.033334650099277496,
0.0035323540214449167,
0.0400678776204586,
0.023700956255197525,
0.013797934167087078,
0.00026301664183847606,
0.006210106424987316,
-0.027326541021466255,
0.02821739763021469,
-0.03093140572309494,
0.04723617061972618,
-0.02848672680556774,
-0.028735337778925896,
-0.026477117091417313,
-0.02123555913567543,
0.04901788756251335,
-0.03066207654774189,
0.00567662762477994,
0.02660142257809639,
-0.012917435728013515,
0.05564752593636513,
-0.029273996129631996,
0.01004804577678442,
-0.03679449111223221,
0.01704024150967598,
0.055606089532375336,
-0.014564486220479012,
-0.009462772868573666,
-0.00885678268969059,
0.03292029723525047,
-0.042118921875953674,
0.02821739763021469,
0.028569597750902176,
-0.008116126991808414,
0.006748764775693417,
0.0011181039735674858,
0.03681521117687225,
0.018842674791812897,
0.011684737168252468,
-0.025275494903326035,
0.01120823249220848,
-0.007820901460945606,
0.02633209526538849,
-0.0148959681391716,
0.04329982399940491,
-0.0038379391189664602,
-0.012109448201954365,
-0.029128972440958023,
-0.01541390921920538,
-0.01194370724260807,
-0.059998225420713425,
0.003151667769998312,
-0.05179404839873314,
0.018107200041413307,
-0.019236309453845024,
-0.04271973296999931,
-0.013476811349391937,
0.042553991079330444,
0.0020238524302840233,
0.015610726550221443,
0.030185570940375328,
-0.014129416085779667,
0.051379695534706116,
-0.0012780181132256985,
-0.051048215478658676,
0.008711759001016617,
0.02254077047109604,
-0.015911132097244263,
0.026477117091417313,
-0.005194942932575941,
-0.0028590315487235785,
0.02583487145602703,
-0.006225644610822201,
0.018262581899762154,
-0.027285104617476463,
-0.004744335077702999,
0.04085514694452286,
0.005619654431939125,
0.04723617061972618,
0.014688792638480663,
0.015186015516519547,
0.03455698862671852,
0.006779841147363186,
-0.03205015882849693,
-0.015248168259859085,
0.0115086380392313,
-0.0010565986158326268,
0.011260026134550571,
0.0042626503854990005,
-0.06132415309548378,
0.029128972440958023,
-0.014864891767501831,
-0.06708364933729172,
-0.00801771879196167,
0.05055098980665207,
-0.011311820708215237,
0.03405976668000221,
-0.020541518926620483,
0.0037680170498788357,
0.036918796598911285,
-0.0004412205598782748,
0.030268441885709763,
-0.04182887449860573,
0.0406479686498642,
0.02399100363254547,
-0.013373223133385181,
0.006702149752527475,
0.02291368693113327,
-0.012637747451663017,
0.017661770805716515,
-0.012347701005637646,
-0.024798991158604622,
0.00008129237539833412,
-0.032319486141204834,
-0.004236753098666668,
-0.01007912214845419,
-0.03526138886809349,
-0.01538283284753561,
0.03797539696097374,
0.005350325256586075,
-0.03072422929108143,
0.011581148952245712,
0.01885303296148777,
0.022022830322384834,
0.0498465932905674,
0.05519173666834831,
-0.008768732659518719,
0.02116304822266102,
0.012969229370355606,
-0.03277527540922165,
-0.013808293268084526,
0.0008442429825663567,
0.0051509179174900055,
-0.03573789447546005,
-0.01844904012978077,
-0.013093535788357258,
-0.04242968559265137,
-0.031822264194488525,
-0.0063758473843336105,
-0.0007872695568948984,
0.00893965270370245,
0.021018024533987045,
-0.03169795870780945,
0.061779942363500595,
0.035675741732120514,
0.05150400102138519,
0.0021002485882490873,
-0.0178793054074049,
0.008867140859365463,
0.055937573313713074,
-0.021049100905656815,
0.01891518570482731,
0.03352110832929611,
-0.013683987781405449,
-0.006909326184540987,
0.011146079748868942,
0.03851405531167984,
-0.02156704105436802,
0.01055044773966074,
0.015807542949914932,
0.011529355309903622,
-0.05660053715109825,
0.05063386261463165,
0.020645108073949814,
-0.00625672098249197,
0.004588952753692865,
0.020210037007927895,
-0.0030403106939047575,
0.017589258030056953,
0.011011415161192417,
-0.0013188059674575925,
0.04164241626858711,
0.01640835404396057,
-0.0000598464030190371,
-0.018024329096078873,
-0.0330653190612793,
0.04035792127251625,
-0.01070065051317215,
-0.03449483588337898,
-0.06032970920205116,
-0.03911486640572548,
-0.05026094615459442,
0.04035792127251625,
-0.047153301537036896,
-0.04046151041984558,
-0.023638803511857986,
0.03559286892414093,
0.001970763551071286,
0.02616635337471962,
0.03006126545369625,
-0.017257776111364365,
0.008918935433030128,
-0.026580706238746643,
-0.017931099981069565,
-0.012938152998685837,
-0.019350256770849228,
-0.017900023609399796,
-0.00026042695390060544,
-0.018821956589818,
0.04263686016201973,
0.02388741448521614,
0.0013634783681482077,
0.037561044096946716,
0.04230538010597229,
-0.020116807892918587,
0.0037887345533818007,
-0.009141650050878525,
0.004172010812908411,
0.00377837591804564,
-0.009499028325080872,
0.0051094829104840755,
0.01617010124027729,
-0.0018814188661053777,
-0.01186083722859621,
0.019277745857834816,
0.009265955537557602,
-0.022499334067106247,
0.010540088638663292,
-0.037623196840286255,
0.008577094413340092,
-0.0004671175847761333,
-0.028963232412934303,
-0.019743891432881355,
-0.0014541179407387972,
-0.03217446431517601,
-0.02465396746993065,
0.01281384751200676,
0.035012777894735336,
-0.02481970749795437,
-0.019837120547890663,
-0.032215896993875504,
-0.010255221277475357,
-0.006805737968534231,
-0.006220465060323477,
-0.034039050340652466,
0.022789381444454193,
-0.05651766434311867,
0.028238115832209587,
-0.01300030667334795,
0.006728047039359808,
0.007458343170583248,
0.009488670155405998,
-0.023970285430550575,
-0.010182710364460945,
-0.01657409593462944,
-0.025068320333957672,
-0.02676716446876526,
-0.010907826945185661,
0.006318873725831509,
-0.04139380529522896,
0.018262581899762154,
-0.020986948162317276,
-0.018107200041413307,
-0.02481970749795437,
-0.007836439646780491,
0.0023941798135638237,
-0.04640746861696243,
0.0016095000319182873,
0.02871462143957615,
-0.002763212425634265,
-0.003667018609121442,
-0.01465771533548832,
0.019339898601174355,
0.0050913551822304726,
0.0200339388102293,
-0.013963675126433372,
0.03720884397625923,
0.03103499487042427,
-0.03582076355814934,
-0.0023410909343510866,
-0.03354182466864586,
0.06186281144618988,
-0.00855637714266777,
-0.01028111856430769,
-0.0019616996869444847,
0.00289787701331079,
-0.011664019897580147,
0.019640304148197174,
0.013880805112421513,
0.0005499880644492805,
0.025503389537334442,
0.01281384751200676,
-0.030372031033039093,
0.017754999920725822,
-0.021732782945036888,
-0.01996142603456974,
-0.009364363737404346,
-0.0904945656657219,
0.006034006830304861,
0.003102463437244296,
-0.04727760702371597,
0.024778272956609726
] |
One of the key capabilities of intelligent agents is the ability to discover
useful skills without external supervision. However, the current unsupervised
skill discovery methods are often limited to acquiring simple, easy-to-learn
skills due to the lack of incentives to discover more complex, challenging
behaviors. We introduce a novel unsupervised skill discovery method,
Controllability-aware Skill Discovery (CSD), which actively seeks complex,
hard-to-control skills without supervision. The key component of CSD is a
controllability-aware distance function, which assigns larger values to state
transitions that are harder to achieve with the current skills. Combined with
distance-maximizing skill discovery, CSD progressively learns more challenging
skills over the course of training as our jointly trained distance function
reduces rewards for easy-to-achieve skills. Our experimental results in six
robotic manipulation and locomotion environments demonstrate that CSD can
discover diverse complex skills including object manipulation and locomotion
skills with no supervision, significantly outperforming prior unsupervised
skill discovery methods. Videos and code are available at
https://seohong.me/projects/csd/ | [
0.047348976135253906,
-0.018789727240800858,
-0.016067542135715485,
-0.04943567141890526,
-0.014948314987123013,
0.018884576857089996,
0.024774745106697083,
0.0021305617410689592,
-0.08422654122114182,
0.018125779926776886,
-0.005543965846300125,
0.0034074760042130947,
0.012501192279160023,
-0.02496444433927536,
0.03456323593854904,
0.06514278054237366,
0.015128528699278831,
0.00894432794302702,
-0.039078082889318466,
-0.044313784688711166,
0.02689937874674797,
-0.010471408255398273,
-0.02968795970082283,
0.06298021227121353,
0.01683582365512848,
0.029744869098067284,
0.00350943929515779,
0.013127200305461884,
-0.09689846634864807,
0.0437067486345768,
0.016162391752004623,
0.016778914257884026,
0.010993082076311111,
0.05634072795510292,
-0.008033771067857742,
-0.025267964228987694,
-0.001158944913186133,
0.019785650074481964,
0.011751879006624222,
0.026254400610923767,
0.02655791863799095,
-0.03167980536818504,
-0.02352272905409336,
-0.03367164731025696,
0.008237697184085846,
-0.0021388609893620014,
-0.05508871376514435,
-0.016010630875825882,
-0.05387463793158531,
0.015270804055035114,
0.03915395960211754,
-0.07018879055976868,
0.033785466104745865,
-0.07045436650514603,
-0.0073461104184389114,
0.05049798637628555,
0.042872071266174316,
-0.03642228990793228,
0.040937136858701706,
0.0413544736802578,
-0.011400935240089893,
0.007455187384039164,
-0.08536474406719208,
0.03236272186040878,
0.044313784688711166,
-0.09128336608409882,
0.05061180517077446,
-0.004984352272003889,
0.02386418730020523,
-0.0017037380021065474,
-0.03331121802330017,
0.06442192196846008,
-0.03422177582979202,
-0.03450632467865944,
0.020127108320593834,
0.03566349297761917,
0.041126836091279984,
0.04602108150720596,
-0.00025268556782975793,
-0.048790693283081055,
0.018277538940310478,
-0.0119700338691473,
-0.016608184203505516,
0.0005759156192652881,
0.07921847701072693,
0.0013859914615750313,
0.0337664969265461,
-0.06741917878389359,
0.05960356071591377,
-0.015147498808801174,
-0.04245473071932793,
-0.030939975753426552,
0.008972782641649246,
-0.0029355986043810844,
-0.019842559471726418,
0.025571482256054878,
0.0058237724006175995,
-0.0016029601683840156,
-0.04438966512680054,
0.022062042728066444,
-0.013961877673864365,
0.02900504134595394,
-0.014398186467587948,
-0.03756048530340195,
-0.013487628661096096,
-0.02488856390118599,
-0.04234091192483902,
0.05190176144242287,
0.006535144988447428,
0.1109362244606018,
0.0021447890903800726,
0.0021222622599452734,
-0.02251732163131237,
0.048525113612413406,
-0.026785558089613914,
-0.017395436763763428,
-0.020696207880973816,
-0.05725128576159477,
0.05027034878730774,
-0.06548424065113068,
0.026444099843502045,
0.05543017014861107,
0.016854794695973396,
-0.07785264402627945,
-0.058920640498399734,
0.020847966894507408,
-0.0011352325091138482,
0.014303336851298809,
0.032248903065919876,
0.03518924489617348,
-0.03625155985355377,
-0.006037184037268162,
-0.011609604582190514,
0.03873662278056145,
0.03737078607082367,
-0.0018839524127542973,
0.04036803916096687,
0.017490286380052567,
-0.05592339113354683,
-0.0090439198538661,
-0.023996977135539055,
-0.0384710431098938,
-0.05569574981927872,
0.059262100607156754,
0.024395346641540527,
0.026349250227212906,
0.02092384733259678,
0.0460590198636055,
-0.023086419329047203,
0.03236272186040878,
-0.0016480137128382921,
0.041695933789014816,
-0.023921096697449684,
-0.016427969560027122,
0.032248903065919876,
0.02589397132396698,
-0.03628949820995331,
0.009750550612807274,
-0.012643466703593731,
-0.024983413517475128,
0.07667651027441025,
0.024585045874118805,
0.01666509360074997,
0.04454142600297928,
0.04556580260396004,
0.008138105273246765,
-0.01972874067723751,
0.004721144214272499,
-0.07550036907196045,
0.04222709313035011,
0.0005688018864020705,
-0.010139434598386288,
0.017860200256109238,
0.039609238505363464,
0.05819978192448616,
-0.002907143672928214,
0.05683394894003868,
-0.0283221248537302,
-0.0058237724006175995,
-0.012880590744316578,
-0.036744777113199234,
0.02454710565507412,
-0.018315479159355164,
0.03896426036953926,
0.04378262907266617,
0.020089169964194298,
0.08559238165616989,
0.017784321680665016,
0.029555169865489006,
-0.02050650864839554,
-0.03668786957859993,
-0.030845126137137413,
0.01083183754235506,
-0.004486391320824623,
0.0126908915117383,
-0.010177373886108398,
-0.004128333646804094,
0.05061180517077446,
-0.01938728056848049,
0.024015946313738823,
-0.03465808555483818,
-0.07329985499382019,
-0.010689562186598778,
0.013990332372486591,
0.041695933789014816,
0.02765817567706108,
0.029668990522623062,
0.0308830663561821,
-0.0030921006109565496,
-0.02919474057853222,
0.008996495045721531,
-0.004517217632383108,
-0.017262646928429604,
-0.03998863697052002,
-0.020810026675462723,
-0.030996885150671005,
-0.004702174570411444,
0.0326472707092762,
-0.02327611856162548,
-0.02149294503033161,
0.022365562617778778,
-0.019690800458192825,
0.02168264426290989,
-0.007180123124271631,
-0.010727502405643463,
0.01742389239370823,
0.02868255227804184,
-0.008873190730810165,
0.056378670036792755,
-0.02784787490963936,
-0.018068870529532433,
-0.03949541971087456,
0.016731489449739456,
-0.012643466703593731,
0.009660443291068077,
0.000007021101737336721,
0.019026853144168854,
0.018125779926776886,
-0.01620033010840416,
-0.016086511313915253,
0.020108139142394066,
0.005079201888293028,
-0.020449597388505936,
-0.02606470137834549,
0.08263307064771652,
-0.008531731553375721,
0.0016847680089995265,
0.005667270161211491,
0.09060044586658478,
-0.01698758266866207,
-0.01310823019593954,
0.014587885700166225,
0.01429385133087635,
-0.0090439198538661,
-0.034126926213502884,
0.0279996357858181,
0.05281231924891472,
-0.024983413517475128,
0.04385850578546524,
-0.06427016854286194,
0.017016038298606873,
-0.029384441673755646,
0.0408233180642128,
0.02598882094025612,
-0.02464195527136326,
0.004851562902331352,
-0.0026889892760664225,
0.038414131850004196,
-0.02285877987742424,
-0.032343752682209015,
-0.029668990522623062,
-0.010718017816543579,
-0.036744777113199234,
0.00816181767731905,
-0.022213801741600037,
-0.04143035411834717,
0.02219483256340027,
-0.028132425621151924,
0.009902309626340866,
-0.016257241368293762,
0.006487720180302858,
-0.012463252060115337,
0.029650019481778145,
0.034449417144060135,
-0.028151394799351692,
-0.036820657551288605,
-0.03198332339525223,
-0.014787070453166962,
-0.021018696948885918,
-0.004045340232551098,
-0.023503758013248444,
-0.018609514459967613,
-0.04241679236292839,
0.015773506835103035,
0.053419359028339386,
-0.0034074760042130947,
-0.04655223712325096,
-0.0019776164554059505,
0.012150248512625694,
-0.016968613490462303,
-0.0006426068139262497,
-0.012491706758737564,
0.009546623565256596,
0.01644694060087204,
0.0060893516056239605,
0.010945657268166542,
0.008010058663785458,
0.014227456413209438,
-0.05660630762577057,
-0.015280288644134998,
0.026595858857035637,
0.023067450150847435,
0.0050317770801484585,
-0.00826140958815813,
-0.00550602562725544,
0.040519796311855316,
0.1154131293296814,
0.005302099045366049,
-0.09355975687503815,
-0.026444099843502045,
-0.034449417144060135,
0.0337664969265461,
-0.06081763654947281,
0.017708441242575645,
0.03881250321865082,
0.023921096697449684,
0.006867119111120701,
-0.011818273924291134,
-0.013990332372486591,
0.007772934157401323,
-0.00864080898463726,
0.0034169608261436224,
-0.03186950460076332,
-0.017604107037186623,
0.015631232410669327,
-0.006369158159941435,
-0.029820749536156654,
0.061879951506853104,
-0.046855758875608444,
-0.052508801221847534,
-0.040937136858701706,
0.03919190168380737,
-0.023143330588936806,
0.030598517507314682,
0.03587216138839722,
0.0009164853254333138,
-0.01404724270105362,
0.031490106135606766,
-0.013857542537152767,
0.011657029390335083,
0.0009846586035564542,
-0.01957697980105877,
-0.004775682929903269,
-0.052243221551179886,
0.028948131948709488,
-0.05269850045442581,
-0.024566074833273888,
0.014862949959933758,
-0.03915395960211754,
-0.009499198757112026,
0.03953336179256439,
-0.10926686972379684,
-0.047235157340765,
0.019007882103323936,
-0.047766316682100296,
-0.00018688356794882566,
0.02540075220167637,
-0.02430049702525139,
0.018808698281645775,
0.06673625856637955,
-0.03281800076365471,
0.002964053535833955,
0.036744777113199234,
-0.004813622683286667,
-0.05137060582637787,
-0.03331121802330017,
-0.03130040690302849,
0.006274308543652296,
-0.06859531253576279,
0.042644429951906204,
0.028227275237441063,
0.050384167581796646,
-0.0052926139906048775,
0.007037848699837923,
-0.015773506835103035,
0.07519685477018356,
0.0017179654678329825,
0.018068870529532433,
0.013032350689172745,
0.07906672358512878,
-0.011002566665410995,
0.0007137440843507648,
-0.07075788825750351,
-0.0163236353546381,
0.03128143399953842,
-0.010234284214675426,
0.02674761973321438,
-0.04336528852581978,
-0.0036232590209692717,
0.0038935807533562183,
0.008090680465102196,
0.03953336179256439,
-0.0206772368401289,
0.00588068226352334,
-0.0003070759412366897,
0.01931140199303627,
-0.007725508883595467,
-0.0002878095838241279,
-0.04624871909618378,
-0.019197581335902214,
0.011884668841958046,
-0.05801008269190788,
-0.02961208112537861,
0.029744869098067284,
0.03164186328649521,
-0.0005201913882046938,
0.03359576687216759,
0.023067450150847435,
-0.0006698761135339737,
-0.012558101676404476,
0.02420564740896225,
-0.008460594341158867,
0.04378262907266617,
0.058313604444265366,
-0.030598517507314682,
0.009428061544895172,
-0.011258660815656185,
-0.0025230024475604296,
-0.04662811756134033,
-0.03137628361582756,
-0.014312821440398693,
0.09742962568998337,
-0.002956939861178398,
-0.05573369190096855,
-0.027449507266283035,
-0.006160488817840815,
-0.027809936553239822,
-0.028948131948709488,
-0.019415736198425293,
-0.017509257420897484,
-0.01358247920870781,
-0.050384167581796646,
-0.01513801421970129,
-0.05584751069545746,
0.013715268112719059,
-0.02175852470099926,
-0.023427879437804222,
0.002980652265250683,
-0.00666319252923131,
-0.002173244021832943,
-0.0892346128821373,
0.02809448540210724,
-0.048525113612413406,
-0.04211327061057091,
-0.014094667509198189,
-0.044237904250621796,
0.011486300267279148,
-0.02378830872476101,
-0.019245006144046783,
-0.043137650936841965,
0.04241679236292839,
-0.016257241368293762,
-0.0119700338691473,
-0.05406433716416359,
-0.039078082889318466,
0.05994501709938049,
-0.03991276025772095,
-0.05303996056318283,
-0.018106810748577118,
0.032002292573451996,
0.06685007363557816,
-0.05774450674653053,
-0.022441441193223,
0.039267782121896744,
0.00624111108481884,
0.06666037440299988,
-0.009437546133995056,
-0.06958174705505371,
-0.00037347074248827994,
-0.024812685325741768,
0.055278412997722626,
-0.011932093650102615,
-0.0507635660469532,
-0.025267964228987694,
0.01965286023914814,
-0.02378830872476101,
0.02758229710161686,
0.008906387723982334,
-0.0022016989532858133,
-0.02902401238679886,
0.013193595223128796,
-0.00701887859031558,
0.020999725908041,
0.018486209213733673,
-0.0008103722357191145,
-0.027544356882572174,
0.012102823704481125,
-0.023408908396959305,
0.07633505016565323,
0.0040334840305149555,
-0.01989946886897087,
-0.018021445721387863,
0.01991843990981579,
-0.011116386391222477,
-0.0052926139906048775,
-0.03397516533732414,
-0.0071516684256494045,
0.020221957936882973,
0.012415827251970768,
-0.017366982996463776,
-0.012169217690825462,
0.039685118943452835,
-0.019539041444659233,
-0.013810117729008198,
-0.008811538107693195,
0.03052263706922531,
0.01624775491654873,
0.0425306111574173,
0.006710617337375879,
-0.010319648310542107,
0.03562555089592934,
0.011951063759624958,
0.0019669458270072937,
0.009797975420951843,
-0.011628574691712856,
0.03179362416267395,
0.050649747252464294,
-0.02117045596241951,
-0.0036208878736943007,
-0.02033577859401703,
-0.019245006144046783,
0.0000868467686814256,
-0.013184109702706337,
-0.01408518198877573,
-0.023314058780670166,
-0.013990332372486591,
0.020297838374972343,
0.03987481817603111,
0.01496728416532278,
-0.017632560804486275,
-0.04890451207756996,
0.008474822156131268,
0.00891113094985485,
0.05345729738473892,
-0.03262830153107643,
-0.0156027777120471,
0.015669172629714012,
-0.012861620634794235,
0.016257241368293762,
0.023996977135539055,
0.026083670556545258,
0.022650111466646194,
-0.011903638951480389,
0.004310919437557459,
0.0034501582849770784,
-0.013942907564342022,
-0.00655411509796977,
-0.004946412518620491,
-0.023636547848582268,
-0.07743530720472336,
-0.04530022293329239,
0.035815250128507614,
0.025875002145767212,
0.024224616587162018,
0.0431755892932415,
-0.020961785688996315,
0.01046192366629839,
0.020715177059173584,
0.02807551436126232,
0.006862376816570759,
-0.02885328233242035,
-0.024319466203451157,
0.020221957936882973,
-0.020221957936882973,
0.04173387214541435,
0.0221758633852005,
0.01578299142420292,
-0.015308743342757225,
-0.03424074500799179,
-0.029650019481778145,
0.004820736590772867,
-0.007758706342428923,
0.03678271919488907,
0.03186950460076332,
-0.013098745606839657,
0.03312151879072189,
-0.0402921587228775,
-0.0020902506075799465,
0.015915781259536743,
-0.008949070237576962,
-0.007625916972756386,
0.01652281917631626,
0.012652951292693615,
0.06309402734041214,
-0.010993082076311111,
-0.04480700567364693,
-0.04260649159550667,
-0.011581149883568287,
0.015071619302034378,
-0.03266623988747597,
0.0012638723710551858,
0.022650111466646194,
0.01805938594043255,
-0.03076924756169319,
-0.018543118610978127,
0.030731307342648506,
0.027183927595615387,
0.04033009707927704,
0.026519980281591415,
-0.013696298934519291,
-0.004806509241461754,
0.02209998294711113,
0.04309970885515213,
-0.0050222924910485744,
0.02344684861600399,
0.003971831873059273,
0.05732716619968414,
0.045489922165870667,
0.019766680896282196,
0.013516084291040897,
-0.0025775409303605556,
0.04401026666164398,
0.021910283714532852,
-0.012216643430292606,
0.02261217124760151,
0.003986059222370386,
0.015194923616945744,
-0.03702932596206665,
0.015289773233234882,
0.011941579170525074,
0.019102731719613075,
0.0036754263564944267,
0.00016509777924511582,
-0.03535997122526169,
-0.057061586529016495,
0.0004063717497047037,
0.01080338191241026,
0.04268237203359604,
-0.00018065905896946788,
-0.033197399228811264,
-0.052508801221847534,
0.035473793745040894,
-0.025248993188142776,
0.045338161289691925,
-0.021568825468420982,
0.0061272913590073586,
-0.020847966894507408,
0.0022076270543038845,
0.01762307621538639,
-0.02925165183842182,
-0.012349432334303856,
0.01965286023914814,
0.031053796410560608,
0.04621078073978424,
-0.018173204734921455,
0.01678839884698391,
0.012007973156869411,
-0.0063264756463468075,
-0.022403502836823463,
-0.015289773233234882,
-0.0027055880054831505,
-0.07921847701072693,
0.0020013288594782352,
0.007327140308916569,
0.012719346210360527,
0.03522718325257301,
0.05068768560886383,
0.02486959472298622,
-0.05296408012509346,
0.04321352764964104,
-0.012880590744316578,
-0.0283221248537302,
-0.03308358043432236,
0.005420661065727472,
0.007260745391249657,
-0.02545766346156597,
0.019861530512571335,
0.012871106155216694,
-0.01362041849642992,
-0.04632459953427315,
-0.004661863204091787,
-0.044996704906225204,
0.020639296621084213,
-0.0042990632355213165,
-0.0033766496926546097,
-0.022991569712758064,
-0.007521582301706076,
0.044313784688711166,
-0.023579638451337814,
0.01641848497092724,
-0.047614555805921555,
0.020791057497262955,
0.009854884818196297,
0.04401026666164398,
0.012833165936172009,
0.003978945314884186,
-0.04624871909618378,
-0.010604198090732098,
0.06172819435596466,
-0.009039177559316158,
0.01429385133087635,
-4.307140386572428e-7,
-0.03338709846138954,
0.04454142600297928,
0.10478996485471725,
-0.008484306745231152,
-0.004054825287312269,
0.03983687981963158,
-0.004446080420166254,
0.01392393745481968,
-0.008337290026247501,
0.0361756794154644,
-0.0026154809165745974,
0.006283793598413467,
0.02691834792494774,
0.01847672462463379,
0.057137466967105865,
-0.07284457981586456,
0.002219483256340027,
0.015726082026958466,
0.0002743231598287821,
-0.002425781451165676,
-0.002315518679097295,
-0.09097984433174133,
-0.0052878716960549355,
0.01695912890136242,
0.014142092317342758,
0.016390031203627586,
0.017091918736696243,
-0.01972874067723751,
0.057061586529016495,
-0.042037393897771835,
-0.048714812844991684,
0.006881346460431814,
0.027809936553239822,
0.012368402443826199,
0.012633982114493847,
0.027430536225438118,
-0.011818273924291134,
-0.004804138094186783,
0.005268901586532593,
-0.025912942364811897,
0.06222141161561012,
0.01382908783853054,
-0.005449115764349699,
-0.000049129186663776636,
-0.0320592038333416,
0.04234091192483902,
0.005183536559343338,
-0.0038959519006311893,
0.07318603992462158,
0.00754529470577836,
0.050308287143707275,
-0.004455565474927425,
-0.007047333754599094,
0.013478144071996212,
0.029213711619377136,
-0.025362813845276833,
-0.010490378364920616,
-0.006198428571224213,
0.05463343486189842,
0.02545766346156597,
0.02082899771630764,
0.010907717049121857,
0.013772178441286087,
0.01605805568397045,
-0.027885815128684044,
0.021360155194997787,
0.01889406330883503,
-0.010272223502397537,
0.02430049702525139,
-0.05353317782282829,
0.06502896547317505,
-0.033444009721279144,
-0.022308653220534325,
0.02369345910847187,
0.011315571144223213,
-0.011287115514278412,
-0.012425312772393227,
-0.004121220204979181,
0.015194923616945744,
0.012131278403103352,
-0.026292340829968452,
0.051560305058956146,
-0.03473396599292755,
0.020866936072707176,
-0.0337664969265461,
0.017063463106751442,
-0.02075311727821827,
0.02158779464662075,
-0.003189321607351303,
0.03207817301154137,
0.011106900870800018,
0.023389939218759537,
0.008977524936199188,
-0.012596041895449162,
-0.052926138043403625,
0.03188847377896309,
0.030636457726359367,
0.00488950265571475,
0.019178612157702446,
0.015451017767190933,
-0.035303063690662384,
0.05732716619968414,
0.019595950841903687,
-0.011581149883568287,
-0.00039896159432828426,
-0.0021483460441231728,
0.017148828133940697,
0.03429765626788139,
0.017196252942085266,
-0.006762784440070391,
-0.010386043228209019,
0.04640047997236252,
-0.025192083790898323,
-0.04848717153072357,
0.01872333325445652,
-0.02699422836303711,
0.025154143571853638,
-0.016067542135715485,
-0.00915299728512764,
-0.0268234983086586,
0.01725316233932972,
0.01033861842006445,
-0.039609238505363464,
-0.013971362262964249,
0.027032168582081795,
0.009575078263878822,
0.027468476444482803,
-0.002061795676127076,
0.0174997728317976,
0.05414021760225296,
-0.02638719044625759,
0.017404921352863312,
0.0010818794835358858,
0.015479473397135735,
0.03869868442416191,
-0.034278687089681625,
0.0025087748654186726,
0.01138196513056755,
0.025837061926722527,
-0.01472067553550005,
0.010812867432832718,
-0.04977712780237198,
-0.014806040562689304,
-0.02572324126958847,
-0.0559992715716362,
0.012472737580537796,
-0.022972600534558296,
0.007943663746118546,
0.0009805088629946113,
0.007237032987177372,
0.030560577288269997,
-0.011362995952367783,
-0.03306461125612259,
0.03452529385685921,
0.022991569712758064,
0.03987481817603111,
-0.011239690706133842,
-0.00789149571210146,
0.010556773282587528,
-0.0314711332321167,
-0.013212565332651138,
0.009309499524533749,
0.02007019892334938,
-0.023750368505716324,
0.013591963797807693,
-0.05398845672607422,
-0.023143330588936806,
-0.04063361510634422,
0.049132149666547775,
0.005923364777117968,
-0.02707010880112648,
0.028606673702597618,
-0.03573937341570854,
0.01379114855080843,
-0.05846536159515381,
0.0028763175942003727,
-0.000807408185210079,
-0.026254400610923767,
-0.012207157909870148,
0.0163520909845829,
0.02674761973321438,
0.003277057548984885,
-0.006535144988447428,
-0.001614816370420158,
-0.011495784856379032,
0.006046669092029333,
-0.001907664816826582,
-0.032685209065675735,
-0.012387372553348541,
0.021948223933577538,
-0.06172819435596466,
-0.035303063690662384,
0.021739553660154343,
0.025780152529478073,
-0.018315479159355164,
0.033614739775657654,
-0.013307414948940277,
-0.0367637500166893,
-0.011372480541467667,
0.010651622898876667,
0.03835722431540489,
-0.016722004860639572,
-0.030750276520848274,
-0.021284274756908417,
0.039760999381542206,
-0.023503758013248444,
0.042302973568439484,
-0.03221096098423004,
0.01823011413216591,
-0.02596985176205635,
0.00504126213490963,
-0.005230961833149195,
0.020866936072707176,
-0.041468292474746704,
-0.04143035411834717,
-0.00571469496935606,
0.029801780357956886,
-0.014872434549033642,
0.020942816510796547,
-0.03367164731025696,
-0.01083183754235506,
0.002061795676127076,
-0.03922984004020691,
0.004787539131939411,
0.0455278605222702,
0.03137628361582756,
0.0027885816525667906,
0.0023665004409849644,
-0.036991387605667114,
0.028454912826418877,
0.02168264426290989,
0.009285787120461464,
0.012169217690825462,
0.0037181086372584105,
-0.04359292611479759,
-0.021796463057398796,
-0.029555169865489006,
-0.018486209213733673,
-0.018192175775766373,
-0.017679985612630844,
-0.053950514644384384,
0.00660153990611434,
0.03845207393169403,
-0.0008803238742984831,
0.0163236353546381,
0.009693640284240246,
-0.00811439286917448,
-0.017139343544840813,
-0.037067268043756485,
-0.020885907113552094,
-0.011543209664523602,
-0.0011903638951480389,
-0.0027767252177000046,
-0.027297746390104294,
-0.036896537989377975,
-0.008493791334331036,
-0.008422654122114182,
0.011742394417524338,
0.0204116590321064,
0.009769520722329617,
-0.03463911637663841,
0.0026344507932662964,
0.0076496293768286705,
0.03919190168380737,
-0.016949644312262535,
-0.018486209213733673,
-0.021701613441109657,
0.030408818274736404,
-0.009750550612807274,
-0.01610548049211502,
0.01691170409321785,
0.01708243414759636,
0.011799303814768791,
0.03849001228809357,
-0.02672864869236946,
-0.01974770985543728,
-0.02784787490963936,
-0.06062793731689453,
-0.028644613921642303,
-0.029631050303578377,
0.023333029821515083,
-0.03930572047829628,
0.007758706342428923,
-0.015204409137368202,
0.025343842804431915,
0.001809258246794343,
-0.02058238722383976,
0.0014120751293376088,
0.0025988821871578693,
0.015432048588991165,
0.06571187824010849,
-0.041278593242168427,
-0.04222709313035011,
0.04074743762612343,
-0.022839810699224472,
-0.018533634021878242,
0.00010952177399303764,
0.010556773282587528,
-0.04014039784669876,
-0.013184109702706337,
-0.030579546466469765,
0.05061180517077446,
0.03018117882311344,
0.019861530512571335,
0.059413861483335495,
0.007293942850083113,
-0.017120372503995895,
0.01720573753118515,
-0.00946125853806734,
-0.004884760361164808,
-0.00733662536367774,
-0.023921096697449684,
-0.0058617121540009975,
0.005847484804689884,
-0.0011346397222951055,
-0.014862949959933758,
-0.014815525151789188,
-0.0002077801473205909,
0.055354293435811996,
-0.04249267280101776,
0.01759462244808674,
-0.01881818287074566
] |
Finding the best way to schedule operations in a computation graph is a
classical NP-hard problem which is central to compiler optimization. However,
evaluating the goodness of a schedule on the target hardware can be very
time-consuming. Traditional approaches as well as previous machine learning
ones typically optimize proxy metrics, which are fast to evaluate but can lead
to bad schedules when tested on the target hardware. In this work, we propose a
new approach to scheduling by sampling proportionally to the proxy metric using
a novel GFlowNet method. We introduce a technique to control the trade-off
between diversity and goodness of the proposed schedules at inference time and
demonstrate empirically that the pure optimization baselines can lead to subpar
performance with respect to our approach when tested on a target model.
Furthermore, we show that conditioning the GFlowNet on the computation graph
enables generalization to unseen scheduling problems for both synthetic and
real-world compiler datasets. | [
-0.018334588035941124,
-0.00803383719176054,
-0.029594415798783302,
0.03474271297454834,
0.02916262298822403,
0.03975815325975418,
-0.026106858626008034,
0.052778370678424835,
-0.06118172034621239,
0.013327451422810555,
0.02869761548936367,
0.019912291318178177,
-0.012986999936401844,
-0.017504217103123665,
-0.004351143259555101,
0.03563951700925827,
0.01497158594429493,
-0.03240106999874115,
0.007415211293846369,
-0.06274282187223434,
0.005289461929351091,
-0.027950281277298927,
0.05606663599610329,
0.0313049778342247,
-0.01080312393605709,
-0.011841087602078915,
0.010778212919831276,
0.02550899051129818,
-0.05905597284436226,
0.00017191270308103412,
0.029461557045578957,
0.06709396094083786,
-0.012405740097165108,
-0.027717778459191322,
-0.013402184471487999,
-0.005173210054636002,
0.033463943749666214,
0.043278925120830536,
-0.010470976121723652,
0.018998883664608,
-0.027202947065234184,
-0.005962062627077103,
-0.001032254658639431,
-0.00360588519833982,
0.01637491211295128,
-0.03088979423046112,
0.010819731280207634,
0.0078553082421422,
-0.03730025514960289,
-0.06148065626621246,
0.025010768324136734,
0.008241429924964905,
-0.005073565524071455,
0.003271661000326276,
-0.031338196247816086,
0.01311985868960619,
0.05523626506328583,
0.019131744280457497,
0.06981758028268814,
0.023416457697749138,
-0.03530736640095711,
-0.013285933062434196,
-0.060384564101696014,
-0.020061759278178215,
0.06948542594909668,
-0.02280198223888874,
-0.014639437198638916,
0.016731971874833107,
0.03866206482052803,
0.0012964163906872272,
-0.028863688930869102,
-0.03593844920396805,
-0.03517450764775276,
-0.0006788281607441604,
0.01497158594429493,
-0.017022602260112762,
0.010952590964734554,
-0.015220697037875652,
-0.0063232737593352795,
-0.027003658935427666,
-0.004500609822571278,
0.04138568043708801,
0.005497054662555456,
0.008901574648916721,
0.06745932251214981,
-0.04988867789506912,
0.04198354855179787,
-0.040256377309560776,
-0.004583647008985281,
-0.020576588809490204,
-0.01400835532695055,
-0.023499494418501854,
-0.017803149297833443,
-0.02906297892332077,
-0.023084308952093124,
0.03547343984246254,
0.015934815630316734,
-0.005592547357082367,
0.002026104833930731,
0.04606897383928299,
-0.052147287875413895,
-0.0392267182469368,
0.008693982847034931,
0.016300179064273834,
0.017022602260112762,
0.005779380910098553,
-0.025442561134696007,
-0.03656953200697899,
0.017869580537080765,
0.09406440705060959,
0.008577730506658554,
-0.029395127668976784,
0.027850637212395668,
0.031072475016117096,
-0.03730025514960289,
0.015270519070327282,
-0.07174403965473175,
-0.06413783878087997,
0.01941406913101673,
-0.022303760051727295,
0.060484208166599274,
0.0677250400185585,
-0.025542207062244415,
-0.0002797311753965914,
-0.03098943829536438,
0.048859018832445145,
-0.010255079716444016,
-0.0718768984079361,
-0.011774658225476742,
-0.030275320634245872,
0.004151854198426008,
-0.01826815865933895,
0.0033401665277779102,
-0.03384591266512871,
0.009433012455701828,
-0.009300152771174908,
0.009549264796078205,
0.032783038914203644,
-0.03172016516327858,
-0.011890909634530544,
0.06393855065107346,
-0.02336663380265236,
0.024745050817728043,
-0.0453050322830677,
0.03186963126063347,
-0.003473025979474187,
-0.037997767329216,
0.10794820636510849,
-0.01515426766127348,
0.05706308037042618,
-0.0653003603219986,
0.05135013163089752,
0.013153073377907276,
0.053974103182554245,
0.020011937245726585,
-0.0006767521845176816,
-0.01612580195069313,
-0.038994211703538895,
0.023051094263792038,
-0.02280198223888874,
0.021058203652501106,
-0.039259932935237885,
-0.02645561471581459,
0.045570749789476395,
-0.023051094263792038,
0.0365363173186779,
0.05503697693347931,
0.004600254353135824,
-0.06759218126535416,
0.026588473469018936,
0.05802631378173828,
0.03517450764775276,
-0.03343072906136513,
-0.012314398773014545,
-0.0021132936235517263,
0.029461557045578957,
0.031803201884031296,
0.04168461635708809,
-0.032218389213085175,
-0.043278925120830536,
-0.03162052109837532,
0.01293717697262764,
0.02202143333852291,
0.006908684968948364,
0.008835145272314548,
0.022004825994372368,
0.014780600555241108,
0.010761605575680733,
0.03015906736254692,
0.020908737555146217,
0.04095388948917389,
0.01941406913101673,
0.06280925124883652,
-0.027485273778438568,
0.028083140030503273,
-0.05789345130324364,
-0.031138906255364418,
-0.03553986921906471,
-0.003402444301173091,
0.021207669749855995,
-0.054970547556877136,
0.02806653268635273,
-0.02190518192946911,
-0.03617095202207565,
0.007747359573841095,
0.012322702445089817,
0.011874302290380001,
-0.011102057993412018,
-0.04002387449145317,
-0.0392267182469368,
0.0012040376896038651,
0.00897630862891674,
-0.06862184405326843,
-0.042182836681604385,
0.012073591351509094,
-0.02207125537097454,
0.040621738880872726,
0.021838752552866936,
-0.0487261600792408,
-0.043743934482336044,
-0.019497105851769447,
0.04978903383016586,
0.06058385595679283,
-0.027485273778438568,
0.008959701284766197,
-0.008478086441755295,
0.012156629003584385,
-0.011442509479820728,
-0.0013846433721482754,
0.040555309504270554,
-0.03283286094665527,
0.024080753326416016,
0.00998936127871275,
0.0024433662183582783,
0.04590289667248726,
-0.03162052109837532,
-0.02353270910680294,
0.003298648167401552,
0.024064145982265472,
0.004629317205399275,
-0.021988218650221825,
-0.03856242075562477,
-0.03005942329764366,
-0.015743831172585487,
0.03912707418203354,
-0.014581311494112015,
-0.031902845948934555,
0.05347587913274765,
0.013227807357907295,
-0.0012164931977167726,
-0.047929003834724426,
-0.05490411818027496,
-0.041618186980485916,
-0.026472222059965134,
-0.05291122943162918,
0.022885018959641457,
0.010072397999465466,
-0.019862469285726547,
0.019115136936306953,
-0.017022602260112762,
0.03480914607644081,
0.034310922026634216,
0.003643251955509186,
0.008777019567787647,
-0.044375017285346985,
0.004778784234076738,
0.03646988794207573,
-0.0007727638585492969,
-0.0037262889090925455,
0.03819705918431282,
-0.04357786104083061,
-0.0618792325258255,
-0.009067649021744728,
-0.03206891939043999,
0.006219477392733097,
-0.045836467295885086,
-0.005849962588399649,
0.010894465260207653,
0.06108207628130913,
0.04460752010345459,
0.008228974416851997,
0.034775931388139725,
-0.009291849099099636,
0.014963282272219658,
-0.06579858064651489,
-0.03132158890366554,
-0.016524380072951317,
-0.0472647063434124,
-0.07240833342075348,
-0.0006450943183153868,
-0.04394322261214256,
0.03527415171265602,
-0.01695617288351059,
0.025010768324136734,
0.01951371319591999,
0.008527908474206924,
-0.032367855310440063,
-0.03839634731411934,
0.05636557191610336,
0.009183901362121105,
0.01427407469600439,
0.025293095037341118,
0.02258608676493168,
-0.016208838671445847,
-0.015361860394477844,
-0.014440148137509823,
-0.02823260799050331,
0.045105744153261185,
-0.001989776035770774,
-0.026887407526373863,
0.04460752010345459,
0.011185094714164734,
0.006335729267448187,
-0.04636790603399277,
0.02185535989701748,
0.056631289422512054,
-0.015403378754854202,
0.01106053963303566,
-0.021772323176264763,
-0.01171653252094984,
0.04769650101661682,
-0.05550198629498482,
-0.03494200482964516,
0.025475775822997093,
-0.016790097579360008,
0.04699898883700371,
0.004832758102566004,
0.016657238826155663,
-0.02894672565162182,
-0.03366323187947273,
-0.035240937024354935,
0.020476944744586945,
-0.06277603656053543,
-0.02896333485841751,
0.004384357947856188,
-0.01737135648727417,
-0.06330747157335281,
0.04829436540603638,
0.0008859018562361598,
-0.01473908219486475,
-0.012140021659433842,
0.0038695279508829117,
0.00016153306933119893,
0.01727171242237091,
0.0024765809066593647,
-0.051217272877693176,
-0.028199393302202225,
-0.023100916296243668,
0.015527933835983276,
0.005472143646329641,
0.0009813945507630706,
0.01366790384054184,
0.017520824447274208,
-0.02280198223888874,
0.06855541467666626,
-0.0018610685365274549,
-0.011268132366240025,
0.02238679677248001,
-0.043843578547239304,
0.0062319329008460045,
0.021988218650221825,
-0.05606663599610329,
-0.009590783156454563,
0.0350748635828495,
-0.031587306410074234,
0.04962296038866043,
-0.037698835134506226,
-0.026272932067513466,
0.0024807327426970005,
0.02894672565162182,
-0.01783636584877968,
0.053774815052747726,
0.021639462560415268,
0.03700132295489311,
0.002561694011092186,
-0.009217116050422192,
-0.010711783543229103,
0.00837013777345419,
-0.07725770026445389,
0.04224926605820656,
-0.02818278595805168,
0.09971092641353607,
0.026057036593556404,
-0.040156733244657516,
-0.025907568633556366,
-0.005256247241050005,
-0.01121830940246582,
-0.0840335264801979,
-0.02535952441394329,
0.0370345376431942,
0.03140462562441826,
-0.04065495356917381,
-0.026322754099965096,
-0.016366608440876007,
0.008602641522884369,
0.023665567860007286,
0.03955886512994766,
-0.052878014743328094,
0.05118405818939209,
-0.015453200787305832,
-0.017304927110671997,
-0.03517450764775276,
-0.002360329031944275,
0.0696847215294838,
-0.08390066772699356,
0.0025139476638287306,
-0.03627059608697891,
-0.018019046634435654,
0.05228014662861824,
-0.008818537928164005,
0.026854192838072777,
-0.01909852959215641,
0.02421361207962036,
-0.003354698186740279,
0.019845861941576004,
0.008000622503459454,
-0.04570360854268074,
-0.001225834945216775,
0.020128188654780388,
-0.03710096701979637,
-0.03527415171265602,
0.03517450764775276,
0.021772323176264763,
0.008826841600239277,
0.03457663953304291,
0.030026208609342575,
0.03301554173231125,
0.013709422200918198,
-0.022602694109082222,
-0.023499494418501854,
0.049955107271671295,
0.023416457697749138,
0.012580118142068386,
-0.07167761027812958,
-0.028730830177664757,
0.02906297892332077,
0.04982224851846695,
0.01390040758997202,
-0.06171315908432007,
0.004708202555775642,
-0.03396216779947281,
-0.06928613781929016,
-0.015561149455606937,
-0.021274100989103317,
-0.046201832592487335,
-0.05035368725657463,
-0.050220828503370285,
-0.04038923606276512,
-0.010246776044368744,
-0.028930118307471275,
-0.07612839341163635,
0.029909957200288773,
-0.026937229558825493,
-0.011467420496046543,
0.02477826550602913,
-0.0014261618489399552,
0.0018672964069992304,
-0.007651866879314184,
0.0024288345593959093,
-0.015195786021649837,
0.017869580537080765,
0.0635731890797615,
-0.015071230009198189,
-0.08469782024621964,
-0.006788281258195639,
0.0037574279122054577,
-0.0059869736433029175,
-0.04856008663773537,
0.015278822742402554,
-0.0067716739140450954,
0.007228377740830183,
0.00326750916428864,
-0.016391519457101822,
-0.024911124259233475,
0.035141292959451675,
0.021091418340802193,
-0.03353037312626839,
-0.10482601076364517,
0.01674027554690838,
-0.0755305290222168,
0.01732153445482254,
0.005625762045383453,
0.060185275971889496,
-0.01805226132273674,
-0.0009621921926736832,
0.030690506100654602,
0.03753276169300079,
-0.022735552862286568,
0.023815035820007324,
-0.024844694882631302,
0.015129356645047665,
-0.004467395134270191,
-0.04772971570491791,
-0.009017826989293098,
0.017354749143123627,
-0.009898019954562187,
-0.0007857384043745697,
-0.020111581310629845,
0.06118172034621239,
-0.022619301453232765,
-0.03343072906136513,
-0.004645924549549818,
-0.0005392220336943865,
0.006871318444609642,
-0.017603861168026924,
-0.041352465748786926,
0.052977658808231354,
0.017138853669166565,
0.0026032126042991877,
-0.04317928105592728,
-0.008594337850809097,
0.03637024015188217,
0.03753276169300079,
-0.018600305542349815,
0.009250330738723278,
0.04736435040831566,
0.00930845644325018,
-0.04975581914186478,
0.028033317998051643,
0.0401899479329586,
0.02055998146533966,
-0.027302592992782593,
0.012613332830369473,
0.03218517452478409,
-0.04679970070719719,
0.07174403965473175,
0.019530322402715683,
-0.024794872850179672,
0.009482834488153458,
0.02633936144411564,
-0.03803098201751709,
0.04284713417291641,
-0.037333473563194275,
-0.0002485922595951706,
-0.013294236734509468,
-0.037267040461301804,
-0.012538598850369453,
-0.01831798069179058,
-0.05815917253494263,
-0.029179230332374573,
-0.027584917843341827,
-0.0048867324367165565,
-0.04221605136990547,
-0.0017500064568594098,
0.005326828919351101,
-0.005401561968028545,
-0.012389132753014565,
-0.030873186886310577,
-0.01669875718653202,
0.005932999309152365,
-0.044740378856658936,
0.009931234642863274,
-0.0010057867038995028,
0.015403378754854202,
-0.01460622251033783,
-0.020991774275898933,
-0.011201702058315277,
-0.03407841920852661,
-0.023100916296243668,
-0.005210577044636011,
0.028764044865965843,
0.003637024201452732,
0.01956353709101677,
-0.020908737555146217,
-0.01644134148955345,
-0.02180553786456585,
-0.004151854198426008,
0.038163840770721436,
-0.0035332278348505497,
-0.01531203743070364,
0.03730025514960289,
-0.015851778909564018,
-0.000273243902483955,
0.02743545174598694,
0.001984586240723729,
0.022004825994372368,
-0.010072397999465466,
-0.01732153445482254,
0.01868334412574768,
-0.02070944756269455,
-0.0036868464667350054,
0.01893245428800583,
0.011567065492272377,
0.04477359354496002,
0.06344033032655716,
-0.0030308535788208246,
-0.04490645229816437,
-0.018301373347640038,
0.0011926200240850449,
-0.04317928105592728,
-0.0314212329685688,
0.02755170315504074,
-0.038529206067323685,
0.016731971874833107,
-0.07034901529550552,
-0.021938396617770195,
-0.008021381683647633,
-0.007099670358002186,
0.0232669897377491,
-0.04085424542427063,
0.052778370678424835,
-0.0028543996158987284,
-0.03809741139411926,
-0.022403404116630554,
-0.02906297892332077,
-0.03241767734289169,
-0.0030308535788208246,
0.013385577127337456,
0.00038716039853170514,
0.007170252036303282,
0.037333473563194275,
0.022669123485684395,
0.035141292959451675,
-0.01632509008049965,
-0.000649765133857727,
0.018284766003489494,
-0.007120429538190365,
0.0040563615038990974,
-0.012563510797917843,
-0.047762930393218994,
0.04613540321588516,
-0.032633572816848755,
0.02092534489929676,
0.011741443537175655,
-0.03823027387261391,
0.05453875660896301,
0.0009507745853625238,
-0.041186392307281494,
-0.03047460876405239,
-0.019546929746866226,
-0.020908737555146217,
0.03274982422590256,
-0.0604177787899971,
-0.013310844078660011,
-0.009192205034196377,
-0.000853206031024456,
-0.009017826989293098,
0.036802034825086594,
-0.03610452264547348,
-0.004380206111818552,
-0.019032098352909088,
0.00721177039667964,
-0.006626359187066555,
0.028249215334653854,
0.014307289384305477,
0.027900459244847298,
-0.0033733814489096403,
-0.014365415088832378,
0.005310221575200558,
0.03603809326887131,
0.04115317761898041,
0.0014967434108257294,
0.04258141666650772,
0.05839167535305023,
-0.013991747982800007,
-0.02577470988035202,
0.07460051029920578,
-0.030756935477256775,
-0.01951371319591999,
0.037898123264312744,
-0.009358279407024384,
0.0538412444293499,
-0.021622855216264725,
-0.0313049778342247,
0.016815008595585823,
0.02816617861390114,
0.0025886809453368187,
0.0628424659371376,
-0.010836339555680752,
0.009540960192680359,
-0.019281210377812386,
0.0023665567860007286,
-0.03396216779947281,
-0.003749124240130186,
0.04490645229816437,
-0.005775229074060917,
-0.0065267146565020084,
0.06015206128358841,
-0.035141292959451675,
0.013460311107337475,
-0.015718920156359673,
-0.028730830177664757,
-0.05427303537726402,
-0.014813815243542194,
0.0326501801609993,
0.013784155249595642,
-0.038429562002420425,
0.004141474608331919,
-0.028348859399557114,
0.04819472134113312,
-0.018185120075941086,
-0.04058852419257164,
-0.035041648894548416,
0.007614500354975462,
0.002860627369955182,
0.007481641136109829,
-0.01395853329449892,
0.01861691288650036,
0.055535200983285904,
-0.05218050256371498,
-0.01460622251033783,
0.02197161130607128,
-0.03004281595349312,
-0.02197161130607128,
0.0034605704713612795,
0.023798426613211632,
0.007215922232717276,
-0.005953758955001831,
-0.05304408818483353,
0.0024059994611889124,
-0.02102498896420002,
-0.019231388345360756,
-0.008407504297792912,
0.031902845948934555,
0.03240106999874115,
-0.01278771087527275,
0.002138204872608185,
-0.00021836157247889787,
0.0002737628819886595,
0.024246828630566597,
-0.017703505232930183,
-0.024711836129426956,
0.006858862936496735,
-0.07732412964105606,
-0.025758102536201477,
0.013642992824316025,
0.0453050322830677,
-0.0014573007356375456,
-0.010155434720218182,
-0.011542154476046562,
0.012098502367734909,
-0.0631081834435463,
-0.002844020025804639,
-0.007485792972147465,
0.016715364530682564,
-0.03497521951794624,
0.02811635658144951,
0.03135480359196663,
0.011650102213025093,
-0.02750188112258911,
0.037167396396398544,
0.008407504297792912,
0.014415237121284008,
0.04430858790874481,
-0.011019020341336727,
0.01956353709101677,
0.004471546970307827,
-0.01742118038237095,
-0.018135298043489456,
0.028033317998051643,
0.06390533596277237,
0.018434232100844383,
0.041352465748786926,
0.00493240263313055,
-0.04430858790874481,
0.01210680603981018,
-0.023333419114351273,
-0.03088979423046112,
0.038794923573732376,
0.0067010922357439995,
0.013028518296778202,
0.020427122712135315,
0.05958740785717964,
0.027883851900696754,
0.05619949474930763,
0.02952798642218113,
-0.0538412444293499,
-0.005700495559722185,
0.0018641825299710035,
0.0004372421244625002,
0.010670265182852745,
-0.007041544653475285,
0.01186599861830473,
-0.01805226132273674,
-0.004508913494646549,
0.053143732249736786,
-0.036436669528484344,
0.047198276966810226,
-0.022104471921920776,
0.012023769319057465,
-0.03567273169755936,
-0.00034538237378001213,
-0.0196133591234684,
0.02394789457321167,
-0.022237330675125122,
-0.015137660317122936,
0.00874380487948656,
-0.0053351325914263725,
0.014639437198638916,
0.02702026627957821,
-0.024745050817728043,
-0.0065267146565020084,
-0.00861094519495964,
0.0196133591234684,
0.05633235722780228,
0.0009248254937119782,
-0.010221865028142929,
0.020626410841941833,
-0.01934763975441456,
-0.057362016290426254,
0.03157069906592369,
-0.014448451809585094,
-0.0039857798255980015,
0.010138827376067638,
0.01846744678914547,
-0.026522044092416763,
-0.04012351855635643,
-0.00991462729871273,
-0.0014178581768646836,
-0.0069045331329107285,
0.03763240575790405,
0.0063440329395234585,
0.02373199723660946,
0.00855281949043274,
0.04420894384384155,
-0.011550458148121834,
0.01293717697262764,
-0.03627059608697891,
-0.014041570015251637,
-0.05742844566702843,
0.0034979369957000017,
-0.06672859936952591,
0.014290682040154934,
-0.019264603033661842,
-0.039957445114851,
0.013427096419036388,
0.014199340716004372,
0.017520824447274208,
0.050885122269392014,
0.026106858626008034,
0.01600954867899418,
0.04743077978491783,
-0.05367517098784447,
0.04022316262125969,
-0.057528089731931686,
0.026488829404115677,
-0.00635233661159873,
0.03386252000927925,
-0.03969172388315201,
0.025807924568653107,
0.02180553786456585,
0.010786516591906548,
-0.033630017191171646,
-0.0013836054131388664,
-0.012621636502444744,
0.03710096701979637,
-0.043843578547239304,
0.009042738005518913,
-0.027767600491642952,
-0.003458494320511818,
0.01649116352200508,
0.045371461659669876,
0.012978696264326572,
-0.040887460112571716,
-0.0450725294649601,
-0.011210005730390549,
0.011043931357562542,
0.006642966531217098,
-0.0453050322830677,
-0.02275216020643711,
0.07925058901309967,
0.007203466724604368,
0.023034486919641495,
-0.022619301453232765,
0.004454939626157284,
0.020327476784586906,
-0.035340581089258194,
-0.04221605136990547,
-0.041452109813690186,
-0.07546409964561462,
-0.019530322402715683,
0.04490645229816437,
-0.03610452264547348,
0.05932169035077095,
0.012688065879046917,
-0.02139035239815712,
0.018816202878952026,
-0.012729584239423275,
-0.033779483288526535,
-0.011616887524724007,
-0.010138827376067638,
0.011699925176799297,
0.03617095202207565,
-0.02660508081316948,
0.058092743158340454,
0.016266964375972748,
-0.013219503685832024,
-0.035772375762462616,
-0.033165011554956436,
-0.047397565096616745,
-0.017769934609532356,
0.05350909382104874,
-0.017653683200478554,
0.000197083325474523,
0.0035768223460763693,
-0.00027999066514894366,
-0.022669123485684395,
0.024695228785276413,
0.02818278595805168,
-0.006842255592346191,
-0.012032072991132736,
-0.04387679323554039,
-0.016316786408424377,
-0.04221605136990547,
0.06792433559894562,
-0.02343306504189968,
0.009507745504379272,
0.0027755144983530045,
0.004608558025211096,
-0.02051015943288803,
-0.0005885253194719553,
0.00013558397768065333,
-0.004745569080114365,
-0.010014272294938564,
0.0054887509904801846,
0.045371461659669876,
0.010578923858702183,
0.0025180994998663664,
0.005090172868221998,
-0.03909385949373245,
-0.011425902135670185,
0.055269479751586914,
0.013941925950348377,
0.01489685196429491,
0.005247943568974733,
0.0030350054148584604,
0.012123414315283298,
-0.007817940786480904,
-0.007249137386679649,
-0.008444870822131634,
-0.025741495192050934,
0.006983418483287096,
0.014033266343176365,
0.010902768932282925,
-0.0016669693868607283,
0.03713418170809746,
-0.01600954867899418,
-0.022054648026823997,
-0.0007649791077710688,
0.01705581694841385,
-0.02781742252409458,
0.03646988794207573,
0.02937851846218109,
0.029146015644073486,
0.013028518296778202,
-0.013618080876767635,
0.028830474242568016,
0.010603834874927998,
-0.03819705918431282,
0.03793133795261383,
-0.008336923085153103,
-0.0002701299963518977,
0.012380829080939293,
-0.00653501832857728,
-0.013759244233369827,
-0.0014614526880905032,
-0.016864830628037453,
-0.02921244502067566,
0.04902509227395058,
0.07646054774522781,
0.016507770866155624,
0.004816150758415461,
0.0021122556645423174,
-0.01390871126204729,
0.018998883664608,
-0.019447283819317818,
-0.03308197483420372,
-0.046666838228702545,
-0.0014583386946469545,
-0.005422321613878012,
0.022785374894738197,
-0.04596932977437973,
0.00013817888975609094,
0.034875575453042984,
-0.018334588035941124,
0.013128162361681461,
-0.003103510942310095,
-0.01409139297902584,
-0.02599060721695423,
0.0017126398161053658,
0.03730025514960289,
0.010138827376067638,
0.02202143333852291,
0.03072372078895569,
0.016084281727671623,
-0.04111996293067932,
-0.05081869289278984,
-0.021523211151361465,
-0.03690167888998985,
0.005389106459915638,
-0.0002613073156680912,
0.049224380403757095,
0.03620416671037674,
-0.036337025463581085,
-0.026073643937706947,
0.0065682330168783665,
0.030458001419901848,
-0.003958792891353369,
0.008909879252314568,
-0.0185172688215971,
-0.006809040438383818,
-0.020011937245726585,
-0.03384591266512871,
-0.00010918078623944893,
0.06144744157791138,
-0.004870124626904726,
0.02781742252409458,
0.026588473469018936,
-0.028930118307471275,
0.023134130984544754,
-0.004936554469168186,
-0.044109296053647995,
-0.03464306890964508,
0.015826867893338203,
-0.010977501980960369,
-0.013559955172240734,
-0.010437761433422565,
0.030956223607063293,
-0.005285310093313456,
-0.023914679884910583,
0.028996549546718597,
-0.04563717916607857,
0.0013265173183754086,
-0.020476944744586945
] |
Silent speech interface is a promising technology that enables private
communications in natural language. However, previous approaches only support a
small and inflexible vocabulary, which leads to limited expressiveness. We
leverage contrastive learning to learn efficient lipreading representations,
enabling few-shot command customization with minimal user effort. Our model
exhibits high robustness to different lighting, posture, and gesture conditions
on an in-the-wild dataset. For 25-command classification, an F1-score of 0.8947
is achievable only using one shot, and its performance can be further boosted
by adaptively learning from more data. This generalizability allowed us to
develop a mobile silent speech interface empowered with on-device fine-tuning
and visual keyword spotting. A user study demonstrated that with LipLearner,
users could define their own commands with high reliability guaranteed by an
online incremental learning scheme. Subjective feedback indicated that our
system provides essential functionalities for customizable silent speech
interactions with high usability and learnability. | [
0.01523271668702364,
0.07303225249052048,
-0.027671324089169502,
-0.028654079884290695,
0.031852852553129196,
0.0108777591958642,
0.02217945270240307,
0.04262463003396988,
-0.048367008566856384,
0.03177577629685402,
-0.020040513947606087,
-0.009456616826355457,
-0.005207642912864685,
-0.04886801913380623,
-0.014953305944800377,
0.034858930855989456,
-0.005954344756901264,
-0.004870422650128603,
-0.03622708097100258,
-0.03869360685348511,
-0.008637653663754463,
-0.024723056703805923,
-0.05942782759666443,
-0.03755669295787811,
0.02537822723388672,
0.024877212941646576,
0.03433864936232567,
0.007943944074213505,
-0.019886355847120285,
-0.0025845516938716173,
0.020329559221863747,
0.019790006801486015,
-0.016832103952765465,
-0.007866865023970604,
-0.003258991986513138,
-0.04821284860372543,
0.06759819388389587,
-0.01913483627140522,
0.008859255351126194,
0.03857798874378204,
-0.01928899437189102,
-0.019847815856337547,
-0.0614318810403347,
-0.0687929168343544,
0.030600322410464287,
-0.08378475904464722,
-0.020175401121377945,
0.009851646609604359,
-0.010405651293694973,
0.041969459503889084,
0.03900192305445671,
-0.06929393112659454,
-0.0023521108087152243,
-0.013064873404800892,
0.023990806192159653,
0.014934035949409008,
0.03954147547483444,
-0.041391368955373764,
0.0828598141670227,
-0.02533968724310398,
-0.04632441699504852,
-0.02204456366598606,
-0.045939020812511444,
-0.0044199931435287,
-0.026168284937739372,
-0.06836897879838943,
0.06601807475090027,
0.026245364919304848,
-0.011224614456295967,
0.005487054120749235,
-0.055535346269607544,
-0.025994857773184776,
-0.026033397763967514,
0.02601412683725357,
-0.03653539717197418,
0.045707784593105316,
0.020772762596607208,
0.041545525193214417,
0.015483222901821136,
-0.02537822723388672,
0.03285488113760948,
0.017419829964637756,
0.015569937415421009,
-0.018373681232333183,
0.08124116063117981,
-0.036361970007419586,
-0.04073619842529297,
-0.05981322377920151,
0.020657144486904144,
-0.002319592982530594,
-0.04227777570486069,
0.015569937415421009,
-0.03520578518509865,
-0.03173723444342613,
-0.01665867678821087,
-0.0444745235145092,
-0.042509011924266815,
-0.013016698881983757,
-0.038963381201028824,
-0.051180388778448105,
0.03042689524590969,
0.039502933621406555,
-0.03085082769393921,
-0.01220737025141716,
-0.033548589795827866,
-0.024588167667388916,
-0.029232172295451164,
-0.0070479013957083225,
0.008541305549442768,
0.09288007020950317,
-0.04539946839213371,
-0.05141162499785423,
-0.008464226499199867,
0.02354760281741619,
0.04802015423774719,
0.03597657382488251,
-0.04216215759515762,
-0.061200644820928574,
-0.00012562956544570625,
-0.027382278814911842,
0.04142990708351135,
0.058001868426799774,
-0.008835168555378914,
-0.0015247169649228454,
-0.02828795462846756,
0.03229605779051781,
0.02422204241156578,
-0.025859970599412918,
-0.005515958648175001,
0.02659221924841404,
0.007259868551045656,
0.0008695463184267282,
-0.03946439549326897,
0.0457463264465332,
0.029733184725046158,
0.031178412958979607,
-0.004102042410522699,
-0.03551410138607025,
-0.008859255351126194,
0.015001480467617512,
0.007057536393404007,
0.033991795033216476,
-0.03699786961078644,
0.02019467018544674,
-0.003169869538396597,
-0.014982210472226143,
-0.07037303596735,
0.04906071722507477,
0.0052606347016990185,
0.02102326974272728,
-0.04828992858529091,
0.0021461655851453543,
-0.0022894840221852064,
0.03875141590833664,
0.05141162499785423,
0.006850386969745159,
0.011927959509193897,
-0.05372399091720581,
0.006445722654461861,
-0.005949527490884066,
0.027401547878980637,
-0.03129403293132782,
0.05484163388609886,
0.028365034610033035,
0.04092889279127121,
0.0211196169257164,
0.01305523794144392,
0.029925880953669548,
-0.04354957491159439,
0.04971588775515556,
-0.024048615247011185,
0.07141359895467758,
-0.002582143060863018,
-0.038385290652513504,
0.013671869412064552,
0.002943450352177024,
0.015203812159597874,
-0.005833908915519714,
-0.04617026075720787,
-0.0340881422162056,
-0.01414397731423378,
0.05322297662496567,
0.046671271324157715,
-0.024838674813508987,
0.04493699595332146,
-0.023374175652861595,
0.03817332163453102,
-0.013585155829787254,
0.02204456366598606,
-0.0026784916408360004,
0.03915607929229736,
0.03302830830216408,
0.007014179602265358,
-0.030542513355612755,
-0.03125549107789993,
-0.03381836414337158,
0.011349867098033428,
0.065285824239254,
-0.019655117765069008,
0.06166311725974083,
-0.025031371042132378,
-0.0074766529724001884,
0.012621669098734856,
0.009042317979037762,
-0.0366317443549633,
-0.01670685037970543,
-0.001050802180543542,
0.03133257105946541,
-0.040813274681568146,
-0.07411135733127594,
0.0069322832860052586,
-0.0023870370350778103,
-0.03792281821370125,
0.007529644761234522,
0.007958396337926388,
-0.0284806527197361,
0.02726665884256363,
-0.03235386684536934,
0.022988781332969666,
0.006778125651180744,
0.025069911032915115,
-0.0056412117555737495,
0.05303028225898743,
-0.004494663327932358,
-0.06806066632270813,
-0.03474331274628639,
-0.0065083494409918785,
-0.011031917296350002,
0.05187409743666649,
0.007982483133673668,
-0.021447202190756798,
-0.024472549557685852,
0.03468550369143486,
-0.018335143104195595,
0.051604319363832474,
-0.05426354333758354,
0.05052521824836731,
-0.04378081485629082,
-0.00036853348137810826,
0.00898450892418623,
0.008387147448956966,
-0.03823113441467285,
0.04848262667655945,
0.00019917066674679518,
0.030292006209492683,
-0.026187555864453316,
0.03557191044092178,
0.004142990801483393,
-0.008628019131720066,
-0.022950241342186928,
-0.04015810415148735,
0.01627328246831894,
-0.0039045277517288923,
0.02038736827671528,
-0.0780809223651886,
0.015011114999651909,
0.044975537806749344,
-0.0675211101770401,
0.023085130378603935,
-0.04505261406302452,
0.043241262435913086,
0.014278865419328213,
0.02198675461113453,
0.035340674221515656,
-0.005930257495492697,
-0.003572125220671296,
0.038828495889902115,
-0.01297815889120102,
0.032719992101192474,
-0.040620580315589905,
-0.014750974252820015,
-0.020599335432052612,
-0.031467460095882416,
0.012159195728600025,
-0.024838674813508987,
-0.029463408514857292,
-0.011176439933478832,
0.015300161205232143,
0.002714622300118208,
-0.014635355211794376,
0.03875141590833664,
0.034415725618600845,
0.04011956602334976,
-0.04227777570486069,
0.013382823206484318,
-0.0013091368600726128,
-0.05923513323068619,
-0.014124707318842411,
-0.04794307425618172,
0.007611541077494621,
-0.0066384198144078255,
-0.0002988312626257539,
-0.03210335969924927,
0.007385121658444405,
-0.0069611878134310246,
-0.023142939433455467,
0.013816392049193382,
0.0027073961682617664,
-0.037575963884592056,
-0.0164756141602993,
-0.0483284667134285,
-0.035783879458904266,
-0.0228731632232666,
-0.02009832300245762,
-0.018730171024799347,
0.0023689717054367065,
0.04786599427461624,
0.06520874798297882,
-0.03938731551170349,
-0.019019218161702156,
0.05769355222582817,
-0.007833142764866352,
-0.013864566572010517,
0.009307276457548141,
-0.004475393332540989,
0.039657093584537506,
0.003796135541051626,
0.004065911751240492,
0.02572508156299591,
0.006913013756275177,
-0.002097991295158863,
0.07033449411392212,
-0.11292058229446411,
-0.020599335432052612,
0.00042754699825309217,
0.018518205732107162,
0.0382504016160965,
-0.024087155237793922,
0.01797865331172943,
0.026919804513454437,
-0.05372399091720581,
-0.009842011146247387,
-0.040427882224321365,
0.03139038011431694,
0.042123615741729736,
0.018662728369235992,
-0.026727108284831047,
-0.011243884451687336,
-0.022410688921809196,
-0.0042610177770257,
-0.005039033014327288,
-0.06713572144508362,
0.008507583290338516,
0.001525921281427145,
-0.024761594831943512,
-0.02387518808245659,
-0.06347446888685226,
0.06767527014017105,
0.004037007223814726,
-0.02566727250814438,
0.0011561834253370762,
-0.030041499063372612,
0.022352879866957664,
-0.025590194389224052,
0.008868890814483166,
-0.026861995458602905,
-0.051026228815317154,
-0.02668856829404831,
-0.04674835130572319,
0.031467460095882416,
0.015964966267347336,
-0.036940060555934906,
-0.033066846430301666,
-0.003080747090280056,
-0.06085379049181938,
-0.0745738297700882,
-0.019337167963385582,
0.0037600048817694187,
-0.014018724672496319,
0.006643237546086311,
0.030041499063372612,
-0.03638124093413353,
-0.048367008566856384,
0.04142990708351135,
0.033644936978816986,
-0.017863033339381218,
0.023239286616444588,
-0.033991795033216476,
-0.03154454007744789,
0.052683424204587936,
-0.011571469716727734,
0.05857996270060539,
0.04281732812523842,
0.028345763683319092,
-0.04659419134259224,
0.045553628355264664,
-0.010839220136404037,
-0.010530903935432434,
-0.051758479326963425,
0.05399376526474953,
-0.018142445012927055,
-0.045707784593105316,
-0.06509312987327576,
-0.021485742181539536,
0.08733038604259491,
-0.010222588665783405,
-0.043472498655319214,
0.012101386673748493,
0.04092889279127121,
-0.00024072101223282516,
0.0006587837124243379,
0.007279138080775738,
0.018710901960730553,
0.01027076318860054,
-0.002765205455943942,
-0.033837635070085526,
-0.01172562688589096,
0.006739586126059294,
-0.009962446987628937,
-0.003140965010970831,
0.022776814177632332,
-0.022853892296552658,
-0.04189237952232361,
-0.010106970556080341,
0.022738274186849594,
-0.008006569929420948,
-0.050833530724048615,
-0.03453134745359421,
0.0029795810114592314,
-0.010935568250715733,
0.004342914093285799,
-0.008550940081477165,
0.04243193194270134,
0.009803472086787224,
0.021639900282025337,
0.026476601138710976,
0.062742218375206,
0.016446709632873535,
-0.014192151837050915,
-0.07827361673116684,
-0.0026953527703881264,
-0.016928452998399734,
0.012949254363775253,
-0.0905677005648613,
0.000021810166799696162,
-0.014779878780245781,
-0.01319976057857275,
0.03071594052016735,
-0.017371656373143196,
0.01097410824149847,
-0.04266316816210747,
-0.008122188970446587,
0.013170856051146984,
-0.0056267594918608665,
-0.0687929168343544,
0.00586281344294548,
0.022487768903374672,
0.03605365380644798,
0.025031371042132378,
-0.03430010750889778,
-0.07025741785764694,
0.051604319363832474,
-0.05387814715504646,
-0.04050495848059654,
0.022507037967443466,
-0.08370768278837204,
0.03753742203116417,
-0.025012101978063583,
-0.018913233652710915,
-0.045707784593105316,
0.03747961297631264,
0.013787487521767616,
0.0263995211571455,
0.002023321110755205,
0.02019467018544674,
-0.010762141086161137,
-0.025493845343589783,
-0.04162260517477989,
0.005992884282022715,
0.033837635070085526,
0.009504791349172592,
-0.055188488215208054,
0.02150501124560833,
-0.005198007915169001,
-0.007129797711968422,
-0.03430010750889778,
-0.07156775891780853,
-0.031062794849276543,
0.01956840418279171,
-0.004232113249599934,
0.0037214653566479683,
-0.04906071722507477,
0.025859970599412918,
-0.02886604703962803,
0.04301002249121666,
-0.021447202190756798,
0.018527839332818985,
0.004884874913841486,
0.05977468565106392,
-0.06131626293063164,
-0.006440905388444662,
0.006074780598282814,
-0.022950241342186928,
0.036554668098688126,
0.037903547286987305,
-0.033298082649707794,
-0.02454962767660618,
-0.014519737102091312,
0.07018033415079117,
0.022680465131998062,
0.006026606075465679,
0.004853561986237764,
0.026727108284831047,
0.010328572243452072,
-0.005805004388093948,
-0.009355450980365276,
-0.03139038011431694,
0.010434555821120739,
0.00006556222797371447,
0.047981612384319305,
0.013450267724692822,
0.037614502012729645,
-0.005077572539448738,
-0.07634664326906204,
0.016099855303764343,
-0.019269723445177078,
-0.0005780917126685381,
-0.01213029120117426,
0.019924893975257874,
-0.002478568349033594,
-0.02252630703151226,
0.025879239663481712,
-0.038963381201028824,
0.046632733196020126,
-0.010280397720634937,
0.04632441699504852,
0.049137797206640244,
-0.04293294623494148,
-0.007442930713295937,
-0.015541032887995243,
-0.03183358535170555,
0.008074014447629452,
-0.04994712397456169,
-0.008088466711342335,
0.0025243337731808424,
0.03905973210930824,
0.017641432583332062,
0.023817379027605057,
-0.01315158698707819,
-0.002178683178499341,
-0.009798654355108738,
-0.006782942917197943,
-0.027864020317792892,
0.02674637734889984,
-0.011927959509193897,
-0.013691139407455921,
0.011513659730553627,
-0.03740253299474716,
-0.014452293515205383,
0.02838430367410183,
0.017766686156392097,
-0.006498714443296194,
0.022545577958226204,
0.010848854668438435,
-0.011937594041228294,
-0.020136861130595207,
0.004246565513312817,
-0.0077849687077105045,
-0.0486367829144001,
-0.018710901960730553,
-0.0375952310860157,
0.001609021914191544,
0.00787168275564909,
-0.004075546748936176,
0.031563807278871536,
-0.023894457146525383,
0.04936903342604637,
0.014124707318842411,
-0.021138887852430344,
0.003796135541051626,
-0.02345125377178192,
-0.007712706923484802,
-0.051719941198825836,
-0.05811748653650284,
0.006200033705681562,
0.029810262843966484,
0.043665193021297455,
-0.004489845596253872,
-0.0023834239691495895,
0.00012969427916686982,
0.003918980248272419,
-0.01724640280008316,
0.01788230426609516,
-0.010607982985675335,
-0.01017441414296627,
0.03287414833903313,
0.0014921992551535368,
-0.01874944195151329,
0.030831558629870415,
-0.02853846177458763,
0.02755570597946644,
0.021774787455797195,
-0.0028760062996298075,
-0.008709914982318878,
-0.02722812071442604,
0.006826299708336592,
0.016552692279219627,
0.02722812071442604,
0.02761351503431797,
-0.048945099115371704,
-0.031062794849276543,
0.03541775420308113,
0.050448138266801834,
0.05780917406082153,
0.007009362336248159,
-0.028172336518764496,
0.025802159681916237,
0.028422843664884567,
0.024780865758657455,
0.04397350922226906,
-0.010704332031309605,
-0.019308263435959816,
0.04408912733197212,
-0.01652378775179386,
0.03472404181957245,
-0.02460743859410286,
0.033933985978364944,
0.006272295024245977,
0.00460305530577898,
-0.045322392135858536,
-0.002464116085320711,
0.012400067411363125,
0.01368150394409895,
-0.02233361080288887,
0.013671869412064552,
-0.022853892296552658,
-0.03530213609337807,
-0.06293492019176483,
-0.003735917853191495,
-0.03229605779051781,
0.021582091227173805,
0.03724837675690651,
-0.052490729838609695,
-0.026765646412968636,
-0.03720983862876892,
0.04370373487472534,
-0.004234521649777889,
-0.021138887852430344,
-0.0025725080631673336,
-0.017304211854934692,
-0.030889367684721947,
-0.033066846430301666,
-0.017545083537697792,
0.01244824193418026,
-0.0052799042314291,
-0.0065661584958434105,
-0.0052028256468474865,
0.00037515745498239994,
0.03753742203116417,
0.014924401417374611,
0.027112502604722977,
0.03119768388569355,
0.03437718749046326,
0.022584116086363792,
0.006310834549367428,
-0.0034348282497376204,
0.057192541658878326,
-0.011715992353856564,
0.004918597172945738,
0.013286475092172623,
0.07939126342535019,
-0.0013994637411087751,
0.004928232170641422,
-0.03686298057436943,
0.020888380706310272,
-0.01846039481461048,
-0.017313847318291664,
0.028461381793022156,
0.006421635393053293,
0.032912690192461014,
0.00949033908545971,
-0.027440087869763374,
0.02364395186305046,
0.005034215282648802,
0.01198576856404543,
-0.014577546156942844,
0.04794307425618172,
-0.014779878780245781,
0.012390432879328728,
0.009186840616166592,
-0.027671324089169502,
-0.01836404763162136,
-0.015155637636780739,
0.003699786961078644,
-0.002803744748234749,
-0.0033601580653339624,
0.024530358612537384,
0.013344284147024155,
-0.07638518512248993,
-0.005414792336523533,
0.0006660098442807794,
-0.017708877101540565,
0.01670685037970543,
-0.020869111642241478,
-0.015820443630218506,
0.008849620819091797,
0.004287513438612223,
-0.0032614008523523808,
0.0024689333513379097,
0.011908689513802528,
-0.020849840715527534,
0.0024713422171771526,
-0.03852017968893051,
0.007187607232481241,
0.06524728238582611,
-0.01506892405450344,
-0.007327312603592873,
0.028904587030410767,
-0.005356983281672001,
0.002099195495247841,
0.013546615839004517,
0.00262790871784091,
0.06455357372760773,
0.03192993253469467,
0.03013784810900688,
-0.0003140362969134003,
0.01841222122311592,
-0.015242352150380611,
-0.054957251995801926,
0.013382823206484318,
0.017072975635528564,
0.07403428107500076,
-0.015907157212495804,
-0.0035335856955498457,
-0.034993819892406464,
-0.006272295024245977,
0.0171982292085886,
0.03123622201383114,
0.018807251006364822,
-0.002897684695199132,
0.07862047106027603,
-0.0013621286489069462,
0.00995281245559454,
-0.005024580750614405,
0.04485991597175598,
-0.004737943410873413,
-0.00894115213304758,
0.01709224469959736,
0.022160183638334274,
-0.03973416984081268,
-0.009760115295648575,
-0.02000197395682335,
0.006884108763188124,
0.00920611061155796,
0.021620631217956543,
0.02780621126294136,
0.004116494674235582,
0.022063834592700005,
-0.015714459121227264,
-0.013893471099436283,
0.004114086274057627,
-0.012929985299706459,
0.013016698881983757,
-0.054957251995801926,
-0.005342531017959118,
0.00993354246020317,
-0.014105438254773617,
-0.004034598357975483,
0.015512128360569477,
-0.02156282216310501,
0.04748060181736946,
-0.002502655377611518,
-0.03013784810900688,
-0.008488313294947147,
0.052490729838609695,
-0.04011956602334976,
0.011860514990985394,
0.04162260517477989,
0.001525921281427145,
-0.012997428886592388,
0.03884776309132576,
0.0029386328533291817,
0.07218438386917114,
-0.02485794387757778,
-0.015830079093575478,
-0.022391419857740402,
-0.0033360710367560387,
0.009336180984973907,
-0.011166805401444435,
-0.012708382681012154,
-0.06759819388389587,
0.039695631712675095,
-0.0108777591958642,
0.03782646730542183,
-0.003116877982392907,
-0.01980927586555481,
0.052876122295856476,
0.003309575142338872,
-0.011484755203127861,
-0.040620580315589905,
0.053646910935640335,
0.0019631031900644302,
0.029752453789114952,
0.0008153502130880952,
0.03692078962922096,
-0.04582340270280838,
0.03119768388569355,
0.037807200103998184,
-0.06474627554416656,
-0.025320418179035187,
0.05549680441617966,
-0.01646597869694233,
-0.029482677578926086,
0.012804731726646423,
-0.03803843632340431,
-0.012650573626160622,
-0.03046543337404728,
0.006705863866955042,
-0.018624188378453255,
-0.0017993104411289096,
0.02383664809167385,
-0.004369409754872322,
0.018470030277967453,
0.0321611687541008,
-0.008232989348471165,
0.014837687835097313,
-0.020464446395635605,
0.0003570920671336353,
-0.00888815987855196,
-0.013691139407455921,
-0.005048667546361685,
0.030388355255126953,
0.008391965180635452,
-0.010290032252669334,
-0.012631304562091827,
-0.0007527236011810601,
0.0164756141602993,
0.016889913007616997,
0.00030590686947107315,
0.006238573230803013,
0.012756557203829288,
0.0547260157763958,
0.000248248252319172,
0.04466722160577774,
-0.04690250754356384,
0.042123615741729736,
0.0033360710367560387,
0.05746231600642204,
0.01793047785758972,
0.042316313832998276,
-0.031987741589546204,
0.025127720087766647,
-0.06547852605581284,
-0.040466420352458954,
-0.0055689504370093346,
-0.03493601083755493,
0.010261127725243568,
0.019626213237643242,
-0.003685334697365761,
-0.009051952511072159,
0.013816392049193382,
0.022738274186849594,
0.010685062035918236,
-0.014760608784854412,
-0.0027411181945353746,
-0.013768217526376247,
0.014808783307671547,
0.029482677578926086,
0.009495156817138195,
-0.04505261406302452,
0.040042486041784286,
-0.025320418179035187,
-0.06775234639644623,
0.03125549107789993,
-0.012872175313532352,
-0.026091206818819046,
0.009610774926841259,
-0.05291466414928436,
-0.029829533770680428,
0.0026929439045488834,
-0.014037993736565113,
-0.01636963151395321,
-0.0547260157763958,
-0.0006250616861507297,
-0.019019218161702156,
0.03541775420308113,
-0.026804186403751373,
-0.014066898263990879,
-0.00004523868847172707,
0.001600591465830803,
0.025397496297955513,
0.025859970599412918,
0.036882251501083374,
-0.057038381695747375,
0.03245021402835846,
-0.013527346774935722,
0.0007003340288065374,
-0.041545525193214417,
0.04443598538637161,
0.007635628338903189,
0.008146275766193867,
0.012496416456997395,
-0.013180491514503956,
-0.000758745358325541,
0.0358416885137558,
-0.012852906249463558,
-0.02108107879757881,
-0.02726665884256363,
0.02636098302900791,
0.004530793987214565,
-0.010723601095378399,
-0.03532140329480171,
0.020271750167012215,
-0.040273722261190414,
-0.03813478350639343,
0.0707198902964592,
0.0014199378201738,
0.0008008978911675513,
0.04578486457467079,
-0.01685137301683426,
-0.023605411872267723,
-0.023123668506741524,
0.0000885202971403487,
-0.010887393727898598,
0.012631304562091827,
0.035668257623910904,
-0.04709520563483238,
0.03447353467345238,
0.04204653948545456,
0.018055731430649757,
0.03782646730542183,
0.05595928058028221,
-0.010723601095378399,
0.040466420352458954,
-0.03287414833903313,
0.001748727518133819,
0.002803744748234749,
0.03196847066283226,
0.00830525066703558,
0.01723676733672619,
-0.031082065775990486,
0.04697958752512932,
0.04358811676502228,
0.027883291244506836,
0.06601807475090027,
-0.007091258652508259,
-0.0039262063801288605,
0.0013994637411087751,
-0.03532140329480171,
0.019269723445177078,
0.002393058966845274,
-0.0643223375082016,
-0.029424868524074554,
-0.02911655232310295,
0.02454962767660618,
-0.027285929769277573,
-0.022160183638334274,
0.019684022292494774,
-0.0037094219587743282,
0.028133796527981758,
-0.03094717673957348,
-0.020213941112160683,
0.025648003444075584,
-0.02944413758814335,
-0.017573988065123558,
-0.007939126342535019,
-0.003882849356159568,
0.012159195728600025,
-0.028596270829439163,
0.03445426747202873,
-0.01826769858598709,
0.036593206226825714,
-0.0031337388791143894,
0.0008593092788942158,
-0.01424032635986805,
0.0454380102455616,
-0.05676860734820366,
-0.017256038263440132,
0.006720316130667925,
0.03526359423995018,
0.041776761412620544,
0.01244824193418026,
0.005809821654111147,
0.028422843664884567,
0.030292006209492683,
-0.05464893579483032,
-0.07827361673116684,
-0.025898508727550507,
-0.029347790405154228,
-0.014953305944800377,
0.010261127725243568,
-0.033452242612838745,
0.014298135414719582,
0.06964078545570374,
0.0014404118992388248,
-0.018865060061216354,
0.01196649856865406,
-0.010781411081552505,
-0.025782890617847443,
0.01694772206246853,
0.006277112755924463,
-0.04312564432621002,
-0.0015186951495707035,
-0.00242798519320786,
-0.01368150394409895,
-0.008512401022017002,
-0.01806536689400673,
-0.0236824918538332,
0.03605365380644798,
-0.01729457825422287,
-0.01807500049471855,
0.018421856686472893,
-0.006532436702400446,
0.041198670864105225,
-0.0334329716861248,
-0.008348608389496803,
0.03341370075941086,
0.016677945852279663,
-0.044590141624212265,
0.05707692354917526,
0.023894457146525383,
0.021138887852430344,
-0.024588167667388916,
0.0061566769145429134,
-0.0026640393771231174,
0.004913779441267252,
-0.03237313777208328,
-0.04975442588329315,
-0.0053328960202634335,
0.00006420732097467408,
0.012419337406754494,
-0.022584116086363792,
0.004118903540074825,
-0.04547654837369919
] |
In this work, we advocate for the importance of singular learning theory
(SLT) as it pertains to the theory and practice of variational inference in
Bayesian neural networks (BNNs). To begin, using SLT, we lay to rest some of
the confusion surrounding discrepancies between downstream predictive
performance measured via e.g., the test log predictive density, and the
variational objective. Next, we use the SLT-corrected asymptotic form for
singular posterior distributions to inform the design of the variational family
itself. Specifically, we build upon the idealized variational family introduced
in \citet{bhattacharya_evidence_2020} which is theoretically appealing but
practically intractable. Our proposal takes shape as a normalizing flow where
the base distribution is a carefully-initialized generalized gamma. We conduct
experiments comparing this to the canonical Gaussian base distribution and show
improvements in terms of variational free energy and variational generalization
error. | [
0.014862644486129284,
0.00026256500859744847,
-0.040743157267570496,
-0.03311098739504814,
0.055433645844459534,
0.02741077169775963,
-0.03399088606238365,
0.02446502260863781,
-0.035215094685554504,
0.02381466142833233,
0.00835425965487957,
0.013820155523717403,
-0.01735888049006462,
-0.04418623819947243,
0.030892111361026764,
0.017932727932929993,
0.015780799090862274,
0.002833370817825198,
-0.014881772920489311,
-0.04770583659410477,
-0.013982744887471199,
-0.01943429373204708,
-0.07739286869764328,
0.027162104845046997,
-0.022819992154836655,
0.031446829438209534,
0.025861384347081184,
-0.0032494100742042065,
-0.0815628245472908,
0.018324855715036392,
0.04112572222948074,
0.007560437545180321,
-0.026282204315066338,
-0.020581988617777824,
-0.06430914998054504,
-0.00635535828769207,
0.05149322748184204,
0.015866877511143684,
-0.0615546852350235,
0.0551658496260643,
-0.029400108382105827,
0.004480790812522173,
0.021806195378303528,
-0.014460951089859009,
0.0040958346799016,
-0.01503479853272438,
-0.013141102157533169,
-0.017951855435967445,
-0.03575068339705467,
-0.0064557818695902824,
-0.0044257971458137035,
-0.010424892418086529,
0.029840057715773582,
0.022360915318131447,
0.0025344921741634607,
-0.001695240498520434,
0.03955720365047455,
0.0003242834936827421,
0.07467665523290634,
-0.025383178144693375,
-0.022093119099736214,
0.0012887653429061174,
-0.05267918109893799,
-0.01902303658425808,
0.035291608422994614,
-0.01550344005227089,
0.049618661403656006,
0.002732947701588273,
-0.007201783359050751,
-0.010922226123511791,
-0.05302348732948303,
-0.012452485971152782,
0.009492389857769012,
0.036898378282785416,
0.009114607237279415,
0.02876887656748295,
0.028118515387177467,
0.04575475677847862,
-0.03498555347323418,
-0.008846811950206757,
0.01878393441438675,
0.03376134857535362,
0.0028166337870061398,
-0.005939319264143705,
0.009841480292379856,
0.035138580948114395,
0.020888039842247963,
-0.05053681507706642,
0.018162265419960022,
-0.03622889146208763,
-0.011094380170106888,
0.0031442048493772745,
-0.00031292610219679773,
-0.009793659672141075,
0.018984779715538025,
0.005771947093307972,
0.004423405975103378,
-0.010654430836439133,
-0.0036606674548238516,
-0.006714012939482927,
0.015321722254157066,
0.0029577044770121574,
0.011496073566377163,
0.03534899279475212,
-0.004982907325029373,
-0.06281714886426926,
-0.02783159166574478,
0.007029628846794367,
-0.007512617390602827,
0.14269669353961945,
-0.024273740127682686,
0.007943002507090569,
-0.054477233439683914,
0.03148508816957474,
-0.05738472566008568,
0.012481178157031536,
-0.04127874597907066,
-0.07188393175601959,
0.03907899931073189,
-0.049924712628126144,
-0.0037969560362398624,
0.06457694619894028,
-0.00783779751509428,
-0.02446502260863781,
-0.053941644728183746,
-0.00457404088228941,
-0.008870722725987434,
0.02213137596845627,
0.03288144990801811,
0.05007774010300636,
0.0023192993830889463,
-0.04915958270430565,
-0.03299621865153313,
-0.02104106731712818,
0.005532843992114067,
-0.06342925131320953,
0.02343209646642208,
-0.042809005826711655,
0.015933826565742493,
-0.023719020187854767,
0.03221195936203003,
-0.04173782467842102,
0.06059827283024788,
-0.01419315580278635,
-0.010434456169605255,
-0.037625253200531006,
-0.023221686482429504,
0.028979286551475525,
-0.03534899279475212,
-0.006412743125110865,
-0.032173704355955124,
0.07215172797441483,
-0.03510032594203949,
0.05501282587647438,
0.05788206309080124,
0.0010783546604216099,
0.010568354278802872,
0.02781246416270733,
0.01630682684481144,
-0.03301534801721573,
0.03898335620760918,
0.008861158043146133,
-0.019702089950442314,
0.036171507090330124,
0.023623378947377205,
0.10321599245071411,
0.027066463604569435,
0.022207889705896378,
-0.023317327722907066,
0.04254120960831642,
-0.016909366473555565,
0.00733568100258708,
-0.05964186042547226,
0.005446766968816519,
-0.045219164341688156,
0.03471776098012924,
0.024847587570548058,
-0.024197226390242577,
-0.017454521730542183,
-0.0024962355382740498,
-0.04590778052806854,
0.057040419429540634,
-0.002419722732156515,
0.014001873321831226,
0.02111757919192314,
0.014680925756692886,
0.11285662651062012,
-0.004334937781095505,
0.013208051212131977,
-0.02974441647529602,
0.000413947127526626,
-0.004511874169111252,
0.03469863161444664,
-0.03251801058650017,
0.0471702441573143,
-0.017645804211497307,
-0.028749749064445496,
-0.06342925131320953,
0.026588257402181625,
0.030318263918161392,
0.03647755831480026,
-0.05941231921315193,
-0.011457816697657108,
0.021806195378303528,
0.020161166787147522,
0.03619063273072243,
-0.025803998112678528,
0.04487485811114311,
-0.03173375502228737,
-0.025249280035495758,
0.04606080800294876,
-0.01911867782473564,
-0.0407814122736454,
-0.024847587570548058,
-0.013121974654495716,
-0.021634042263031006,
0.0009546188521198928,
0.0283863116055727,
0.0010879187611863017,
-0.0033020128030329943,
-0.04311505705118179,
0.04724675789475441,
0.0495421476662159,
-0.02077327109873295,
0.038505151867866516,
0.017722316086292267,
0.005762382876127958,
0.002541665220633149,
0.03575068339705467,
0.012251638807356358,
0.01927170343697071,
0.05906801298260689,
0.010405763983726501,
-0.028328927233815193,
-0.007899964228272438,
0.008918543346226215,
0.012452485971152782,
-0.01775100827217102,
0.0599479116499424,
-0.08255749195814133,
-0.028501080349087715,
-0.047285016626119614,
-0.025957025587558746,
0.04223515838384628,
-0.018372677266597748,
-0.019778601825237274,
-0.026607384905219078,
-0.012882871553301811,
0.027984619140625,
-0.024847587570548058,
-0.03796955943107605,
-0.030203495174646378,
0.019003909081220627,
-0.000992875313386321,
-0.06836433708667755,
0.01855439506471157,
0.01975947432219982,
-0.03443083539605141,
0.01750234141945839,
-0.03925115242600441,
0.06369704753160477,
0.04927435144782066,
-0.0024436330422759056,
0.031121650710701942,
0.0022128985729068518,
-0.010721379891037941,
0.012079484760761261,
0.014690490439534187,
-0.01869785599410534,
0.06109560653567314,
-0.0038949884474277496,
-0.028156772255897522,
-0.029859187081456184,
-0.03483252972364426,
-0.03420129790902138,
-0.006192768458276987,
-0.005896280519664288,
0.013839283026754856,
0.0018147919327020645,
-0.009597595781087875,
0.04227341711521149,
0.027468156069517136,
-0.028673235327005386,
0.03997802734375,
0.01119002141058445,
0.002577530685812235,
-0.01035794336348772,
0.003168115159496665,
-0.08447031676769257,
-0.013141102157533169,
-0.034507349133491516,
0.011964716017246246,
-0.01615380123257637,
0.011113508604466915,
0.032097190618515015,
0.039155513048172,
-0.07987953722476959,
-0.0070678857155144215,
0.05826462432742119,
-0.04391844570636749,
0.010922226123511791,
0.000027048530682804994,
0.040896181017160416,
0.006374486722052097,
0.008330349810421467,
-0.014613976702094078,
0.014384438283741474,
0.04759106785058975,
-0.01975947432219982,
-0.04036059230566025,
0.002730556530877948,
0.007660861127078533,
-0.0013760379515588284,
-0.04414798319339752,
0.02486671507358551,
0.016010338440537453,
0.05474502965807915,
0.02109845168888569,
0.03324488550424576,
-0.02750641293823719,
0.02863497845828533,
0.012548127211630344,
-0.05386513099074364,
-0.01677546836435795,
0.03255626931786537,
-0.004487963858991861,
0.03955720365047455,
-0.01758841797709465,
-0.05463026091456413,
0.028902774676680565,
-0.0028094605077058077,
-0.006637500133365393,
-0.09449351578950882,
-0.06308494508266449,
-0.030681701377034187,
0.004547739401459694,
-0.022513940930366516,
-0.0035530710592865944,
-0.005011599510908127,
-0.06603069603443146,
-0.0006336230435408652,
-0.02758292481303215,
0.009908429346978664,
-0.051531486213207245,
0.019549064338207245,
-0.019893372431397438,
-0.05390338599681854,
-0.02159578539431095,
0.024924099445343018,
0.01166822761297226,
0.0009175578597933054,
0.04254120960831642,
0.012318587861955166,
0.02655000053346157,
0.04602254927158356,
-0.032326728105545044,
0.025153638795018196,
0.003125076647847891,
0.02262871153652668,
0.03228847309947014,
0.021557528525590897,
-0.019969884306192398,
-0.073605477809906,
-0.004244078882038593,
-0.04548696056008339,
-0.0005893889465369284,
-0.014623541384935379,
-0.006374486722052097,
0.00815819576382637,
-0.028099387884140015,
-0.04590778052806854,
0.05876196175813675,
0.031083393841981888,
-0.02855846658349037,
0.03301534801721573,
0.02255219779908657,
0.027984619140625,
0.03814171627163887,
0.0039571551606059074,
0.03508119657635689,
-0.020333321765065193,
0.029476622119545937,
-0.02829067036509514,
0.021442759782075882,
0.012490741908550262,
-0.02511538192629814,
-0.011046559549868107,
-0.03781653568148613,
0.01630682684481144,
-0.03655407205224037,
0.048317939043045044,
-0.033780474215745926,
-0.04812665656208992,
-0.06021570786833763,
0.0567726232111454,
0.05524236336350441,
-0.015436491928994656,
-0.08033861964941025,
0.02151927351951599,
0.030758213251829147,
0.03263278305530548,
-0.0010317296255379915,
0.01055878959596157,
-0.051684509962797165,
-0.024005943909287453,
0.04843270778656006,
-0.008861158043146133,
0.03475601598620415,
0.048011887818574905,
-0.0187934972345829,
0.014298360794782639,
-0.0029242299497127533,
0.013657565228641033,
-0.004301463719457388,
0.05749949812889099,
0.023049531504511833,
-0.01751190610229969,
-0.002073023235425353,
0.008808556012809277,
0.01750234141945839,
0.038179971277713776,
-0.023393839597702026,
0.07880835980176926,
-0.018592651933431625,
0.023719020187854767,
0.027047334238886833,
0.041623055934906006,
-0.0046362075954675674,
0.018248343840241432,
-0.018343985080718994,
0.03900248557329178,
0.02046721987426281,
0.06297017633914948,
-0.03167637065052986,
0.004026494920253754,
-0.04307680204510689,
-0.010721379891037941,
0.006092345342040062,
0.013160230591893196,
-0.03135119006037712,
0.0008165368344634771,
0.004889656789600849,
0.038103457540273666,
0.02006552554666996,
0.017215417698025703,
-0.02574661374092102,
0.001068790559656918,
-0.048164915293455124,
-0.03381873294711113,
0.026263076812028885,
-0.0583411380648613,
0.03796955943107605,
-0.0791144073009491,
-0.018267471343278885,
0.0017717534210532904,
-0.011123073287308216,
0.03925115242600441,
-0.0004103605751879513,
0.0303947776556015,
-0.028673235327005386,
0.023680763319134712,
-0.005446766968816519,
0.034010015428066254,
-0.07368198782205582,
-0.04468357563018799,
0.0045381756499409676,
0.002775986213237047,
-0.0049255224876105785,
-0.02806113101541996,
-0.025536203756928444,
-0.0023587513715028763,
-0.02029506489634514,
-0.09334582090377808,
0.00683356449007988,
0.001607967889867723,
0.03967197611927986,
-0.006685320753604174,
-0.04181433841586113,
0.011563022620975971,
-0.03309185802936554,
-0.0014979804400354624,
0.025708356872200966,
0.030892111361026764,
-0.012538562528789043,
-0.03471776098012924,
0.016125109046697617,
-0.0064557818695902824,
0.040819667279720306,
-0.010319686494767666,
-0.03467950224876404,
-0.03029913641512394,
-0.039212897419929504,
0.006489256396889687,
0.021155836060643196,
0.008975927717983723,
-0.05294697359204292,
0.035540275275707245,
-0.046175576746463776,
0.07004762440919876,
0.018917832523584366,
-0.020161166787147522,
-0.00033354872721247375,
-0.012528998777270317,
-0.01917606219649315,
0.01854483038187027,
0.020333321765065193,
-0.018812626600265503,
0.0018805452855303884,
-0.04051361605525017,
0.013141102157533169,
-0.005776728969067335,
-0.029380980879068375,
0.011457816697657108,
-0.06993285566568375,
0.04495136812329292,
0.024445893242955208,
-0.01847788132727146,
-0.049618661403656006,
0.03990151360630989,
-0.004609906580299139,
0.019070858135819435,
0.02999308332800865,
-0.03877294808626175,
0.07372024655342102,
-0.0391746386885643,
0.03270929306745529,
0.03263278305530548,
-0.058647189289331436,
0.04246469959616661,
-0.01031012274324894,
-0.019462985917925835,
0.03963371738791466,
-0.06683407723903656,
-0.08148631453514099,
-0.009272415190935135,
-0.018850883468985558,
0.03351268172264099,
0.004609906580299139,
-0.007665643002837896,
-0.003804129082709551,
-0.034010015428066254,
0.06736966967582703,
0.007766066584736109,
0.035215094685554504,
0.01655549369752407,
0.01941516622900963,
0.026416102424263954,
-0.02806113101541996,
0.03341703861951828,
-0.04024582356214523,
-0.004366021137684584,
0.010424892418086529,
-0.011371740140020847,
0.011888202279806137,
-0.0447600856423378,
0.005609357263892889,
-0.04116397723555565,
-0.027563797309994698,
0.010300558060407639,
-0.01355235930532217,
0.025057997554540634,
0.01647897996008396,
0.010539661161601543,
-0.010367507115006447,
-0.02582312747836113,
-0.058149855583906174,
0.023240813985466957,
0.04935086518526077,
-0.010769200511276722,
0.026320461183786392,
-0.039939768612384796,
0.032326728105545044,
-0.020486347377300262,
-0.008693786337971687,
0.03167637065052986,
0.009205467067658901,
0.0081916693598032,
-0.006149729713797569,
0.014087950810790062,
-0.016593750566244125,
-0.005293740890920162,
-0.044492293149232864,
0.033072732388973236,
0.06450043618679047,
0.006436653435230255,
-0.013026333414018154,
-0.03349355235695839,
-0.04988645762205124,
0.011543894186615944,
-0.001294742920435965,
-0.00499725341796875,
0.05822636932134628,
0.002315712859854102,
0.0004569856682792306,
-0.03703227639198303,
-0.036018479615449905,
-0.012500306591391563,
-0.003352224361151457,
0.03102600947022438,
-0.01749277673661709,
-0.004511874169111252,
-0.04789711907505989,
0.02989744208753109,
0.009492389857769012,
-0.0038830332923680544,
0.010970046743750572,
0.0023742930497974157,
-0.02086891233921051,
-0.003871078137308359,
0.02094542607665062,
-0.021251477301120758,
0.0020347668323665857,
0.056887391954660416,
-0.03743397071957588,
0.006412743125110865,
-0.01590513437986374,
0.011323919519782066,
-0.028443695977330208,
0.01131435576826334,
0.015312157571315765,
0.05474502965807915,
-0.01115176547318697,
0.04525742307305336,
-0.06243458390235901,
0.0029146659653633833,
0.010606610216200352,
0.0027233834844082594,
0.02230353094637394,
0.022494813427329063,
-0.004320591688156128,
0.004892047960311174,
0.04541044682264328,
-0.03318750113248825,
-0.004691201262176037,
-0.01677546836435795,
0.003141813911497593,
-0.016928493976593018,
0.0299739558249712,
-0.008234708569943905,
-0.05206707492470741,
-0.009803224354982376,
-0.01019535306841135,
0.02999308332800865,
-0.004514265339821577,
-0.00903331208974123,
-0.005159843247383833,
0.00009384793520439416,
0.004791624844074249,
0.023393839597702026,
0.029534006491303444,
0.023776404559612274,
0.02758292481303215,
-0.009372838772833347,
0.0519523061811924,
-0.02511538192629814,
0.02215050533413887,
0.012175126001238823,
-0.004387540742754936,
0.02021855302155018,
0.02174881100654602,
0.0012959383893758059,
0.036974892020225525,
-0.02127060480415821,
0.005628485232591629,
0.016746776178479195,
-0.035980224609375,
0.029438365250825882,
0.021289734169840813,
0.003447865601629019,
0.027066463604569435,
-0.026511743664741516,
-0.02046721987426281,
-0.016421595588326454,
-0.0023671200033277273,
0.027200359851121902,
-0.004000193905085325,
-0.0020742188207805157,
0.03867730498313904,
0.0008637597202323377,
-0.0011913308408111334,
-0.03787392005324364,
0.04277075082063675,
-0.00266838981769979,
-0.02614830806851387,
0.02159578539431095,
-0.01318892277777195,
0.0034717759117484093,
-0.010931790806353092,
-0.05899149924516678,
0.014422695152461529,
-0.011161329224705696,
-0.03313011676073074,
0.005025945603847504,
-0.03716617450118065,
0.03379960358142853,
-0.03699402138590813,
-0.006785743869841099,
0.030165238305926323,
-0.03374221920967102,
0.01155345793813467,
0.007230475544929504,
-0.004432970192283392,
-0.020754143595695496,
-0.002976832678541541,
0.051607996225357056,
-0.0287880040705204,
0.0025536203756928444,
-0.0037060969043523073,
0.0009821157436817884,
0.0007723027956672013,
-0.02350861020386219,
0.03550201654434204,
0.015723414719104767,
0.03766350820660591,
0.047782350331544876,
0.011343047954142094,
0.020275937393307686,
-0.017693623900413513,
-0.012930692173540592,
0.011955151334404945,
-0.006613589823246002,
0.0009761381079442799,
-0.02607179433107376,
-0.04196736216545105,
-0.03100688010454178,
0.04070489853620529,
0.0028740183915942907,
-0.007818669080734253,
0.0023456006310880184,
-0.0022834339179098606,
-0.004533393308520317,
-0.02471368946135044,
0.006618371699005365,
-0.0018291381420567632,
0.015293030068278313,
0.0019809685181826353,
-0.051378458738327026,
0.011696919798851013,
0.005465895403176546,
-0.05378861725330353,
0.03259452432394028,
-0.04996296763420105,
-0.0066040256060659885,
0.039863258600234985,
0.0015135221183300018,
0.06327622383832932,
0.03896423056721687,
0.0001974094338947907,
-0.01718672551214695,
0.03573155775666237,
0.039786744862794876,
-0.02966790460050106,
-0.01783708669245243,
-0.04254120960831642,
-0.05382687225937843,
-0.02255219779908657,
0.009219813160598278,
-0.03047128953039646,
0.012624640017747879,
-0.006450999528169632,
-0.02285824902355671,
0.04533393308520317,
0.0455634742975235,
0.013447154313325882,
0.012079484760761261,
-0.020046398043632507,
-0.03749135509133339,
-0.02063937298953533,
0.00407670671120286,
-0.030184365808963776,
0.022647839039564133,
0.002465152181684971,
0.013447154313325882,
-0.06094257906079292,
0.004715111572295427,
0.009176773950457573,
-0.013820155523717403,
0.0017275194404646754,
-0.0139923095703125,
0.03412478417158127,
-0.055930979549884796,
0.01717716082930565,
0.017081519588828087,
0.02806113101541996,
-0.032173704355955124,
-0.008497721515595913,
0.00042889107135124505,
-0.02469456009566784,
0.028883645310997963,
-0.02063937298953533,
-0.010386635549366474,
-0.0054563311859965324,
0.020428963005542755,
-0.020428963005542755,
0.06117212027311325,
-0.001160845160484314,
-0.0551658496260643,
0.016192056238651276,
-0.047858864068984985,
-0.02653087116777897,
0.0046816375106573105,
-0.033053603023290634,
-0.03219282999634743,
0.013896668329834938,
-0.045448705554008484,
0.0068766032345592976,
-0.04124049097299576,
-0.007244821637868881,
-0.005351125728338957,
-0.017473649233579636,
0.00935849267989397,
0.003634365973994136,
0.03328314051032066,
-0.015015670098364353,
0.03085385449230671,
-0.010128404013812542,
-0.028730619698762894,
0.007660861127078533,
-0.02151927351951599,
-0.017808394506573677,
-0.03575068339705467,
0.0030653008725494146,
0.017330188304185867,
-0.04812665656208992,
-0.04770583659410477,
0.01115176547318697,
-0.01783708669245243,
-0.021442759782075882,
0.047361526638269424,
0.0071970010176301,
0.02366163581609726,
0.027946362271904945,
0.0026325243525207043,
-0.0000986300001386553,
-0.06381181627511978,
0.06415612250566483,
-0.01759798265993595,
0.02150014415383339,
-0.007856925949454308,
0.037204429507255554,
-0.03894510120153427,
0.0018315291963517666,
0.008784645237028599,
0.0022690878249704838,
0.005896280519664288,
-0.0083972979336977,
0.01806662417948246,
0.02471368946135044,
0.02999308332800865,
-0.05214358866214752,
0.03316837176680565,
0.00931067205965519,
0.03871556371450424,
-0.001365278265438974,
-0.04223515838384628,
-0.040896181017160416,
0.0583793967962265,
0.013313256204128265,
-0.02501974068582058,
0.010463148355484009,
0.014279233291745186,
0.03291970491409302,
0.052411384880542755,
-0.02790810540318489,
0.004158001858741045,
-0.012691589072346687,
0.04571649804711342,
-0.08531196415424347,
-0.016517236828804016,
-0.09143299609422684,
-0.006642282009124756,
-0.004356457386165857,
0.005905844736844301,
0.06082781031727791,
0.0034837310668081045,
0.04575475677847862,
0.005030727945268154,
-0.013581052422523499,
-0.01278723031282425,
-0.028730619698762894,
-0.014212284237146378,
0.0013090891297906637,
0.018334420397877693,
-0.03948069363832474,
0.0203907061368227,
-0.002615787088871002,
-0.008344695903360844,
-0.050651583820581436,
-0.013332384638488293,
-0.014862644486129284,
-0.011457816697657108,
0.01010927651077509,
-0.059680115431547165,
0.004380367696285248,
0.03374221920967102,
0.018764805048704147,
-0.056237030774354935,
0.01895608752965927,
-0.019989013671875,
-0.04135525971651077,
-0.01813357323408127,
-0.0183822400867939,
-0.05053681507706642,
-0.02773595042526722,
0.011429124511778355,
-0.009009402245283127,
0.011802125722169876,
0.01694762334227562,
-0.01766493171453476,
0.02167229913175106,
-0.027927232906222343,
-0.038103457540273666,
0.028022874146699905,
-0.05482154339551926,
0.02735338732600212,
0.024809330701828003,
-0.014231412671506405,
0.02159578539431095,
0.03749135509133339,
0.05046030506491661,
-0.00515506137162447,
0.0599861666560173,
-0.008488157764077187,
0.012662895955145359,
0.014183592051267624,
-0.03735745698213577,
0.05298523232340813,
0.04858573526144028,
0.013399333693087101,
-0.0033259231131523848,
-0.017330188304185867,
0.03094949573278427,
0.029840057715773582,
0.0019188018050044775,
0.027697695419192314,
0.011390868574380875,
-0.024885842576622963,
0.03854340687394142,
-0.017473649233579636,
0.020352449268102646,
-0.033608321100473404,
-0.003868686966598034,
0.056963905692100525,
-0.005666741635650396,
0.012270767241716385,
-0.04043710604310036,
0.03971023112535477,
0.030318263918161392,
-0.004031277261674404,
0.04150828719139099,
-0.02077327109873295,
0.01087440550327301,
-0.0055854469537734985,
0.018343985080718994,
0.03643930330872536,
0.0019666224252432585,
-0.03460298851132393,
0.004064751323312521,
-0.01318892277777195,
0.06534207612276077,
0.02989744208753109,
0.013322820886969566,
-0.0263969749212265,
-0.005910627078264952,
-0.02151927351951599,
0.03347442299127579,
-0.0015458010602742434,
-0.027372514829039574,
-0.009803224354982376,
0.0026110049802809954,
0.005542408209294081,
0.0005577077972702682,
-0.027449028566479683,
0.014814823865890503,
0.04709373414516449,
-0.021366246044635773,
-0.0183918047696352,
-0.002964877523481846,
0.0076034762896597385,
0.020581988617777824,
0.08921412378549576,
0.00951630063354969,
0.04445403441786766,
0.02446502260863781,
-0.033933501690626144,
0.0046529448591172695,
-0.0415847972035408,
-0.0011285663349553943,
0.014317489229142666,
-0.0002371603186475113,
0.010597046464681625,
0.035138580948114395,
-0.016325954347848892,
-0.034105654805898666,
0.019989013671875,
-0.016431160271167755,
0.010453584603965282,
0.004865746479481459,
-0.009597595781087875,
0.02159578539431095,
-0.001373646897263825,
-0.015771236270666122,
-0.007326116785407066,
0.018650036305189133,
0.020677629858255386,
0.02853933721780777,
0.06174596771597862,
0.01450877171009779,
-0.02077327109873295,
0.03085385449230671,
-0.004743804223835468,
-0.04043710604310036,
-0.02046721987426281,
-0.01103699579834938,
-0.026358718052506447,
-0.012136870063841343,
-0.040666643530130386,
-0.03963371738791466,
0.029227953404188156,
-0.01749277673661709,
0.03469863161444664,
0.0016486153472214937,
0.019797731190919876,
-0.04739978536963463
] |
Artificial neural networks are being proposed as models of parts of the
brain. The networks are compared to recordings of biological neurons, and good
performance in reproducing neural responses is considered to support the
model's validity. A key question is how much this system identification
approach tells us about brain computation. Does it validate one model
architecture over another? We evaluate the most commonly used comparison
techniques, such as a linear encoding model and centered kernel alignment, to
correctly identify a model by replacing brain recordings with known ground
truth models. System identification performance is quite variable; it also
depends significantly on factors independent of the ground truth architecture,
such as stimuli images. In addition, we show the limitations of using
functional similarity scores in identifying higher-level architectural motifs. | [
0.012057431973516941,
-0.018313171342015266,
-0.034372929483652115,
-0.027478164061903954,
0.015336649492383003,
0.05569625645875931,
0.03595368191599846,
0.013108463026583195,
0.027780860662460327,
0.04466462880373001,
-0.025914229452610016,
-0.03210270404815674,
0.029731575399637222,
-0.006793866865336895,
0.027293182909488678,
0.030959179624915123,
0.026452356949448586,
-0.015370283275842667,
-0.04775886610150337,
-0.02337493747472763,
0.0470862053334713,
-0.04042687267065048,
-0.020263884216547012,
-0.03743353486061096,
-0.021121526136994362,
0.03299397602677345,
0.011359547264873981,
-0.018178638070821762,
-0.08616776019334793,
0.005078583490103483,
0.015958860516548157,
-0.0012412680080160499,
0.03026970475912094,
0.006533211097121239,
-0.003317055059596896,
-0.03961968049407005,
-0.01356250885874033,
0.022265048697590828,
-0.005915204528719187,
0.036357276141643524,
0.07654871791601181,
0.010451456531882286,
0.03558371961116791,
-0.016034534201025963,
-0.008383026346564293,
-0.034272029995918274,
-0.011889266781508923,
-0.0519966259598732,
0.012149922549724579,
-0.012654418125748634,
0.02653644047677517,
-0.024686625227332115,
0.0478261336684227,
0.014958278276026249,
0.005763856228441,
0.06538256257772446,
0.03669360652565956,
-0.015319833531975746,
0.0721091628074646,
-0.011628611013293266,
0.04826335981488228,
0.10143714398145676,
-0.039720576256513596,
0.009509732015430927,
0.05361101031303406,
-0.03227086737751961,
-0.013486835174262524,
0.02433347888290882,
0.03598731383681297,
-0.0014903624542057514,
-0.017690960317850113,
0.018901748582720757,
-0.058756858110427856,
0.035381920635700226,
0.01363818347454071,
-0.013596141710877419,
0.02172692120075226,
0.08872386813163757,
0.03470925986766815,
0.03312850743532181,
0.06255738437175751,
0.03408705070614815,
0.016766052693128586,
0.039552412927150726,
-0.0002624951011966914,
0.0016301496652886271,
0.027461348101496696,
-0.037769865244627,
0.0023480041418224573,
-0.009122952818870544,
-0.02818445675075054,
-0.002217676257714629,
0.017909575253725052,
0.017472345381975174,
0.007680937182158232,
0.020516132935881615,
0.03481015935540199,
-0.0017878044163808227,
-0.0035882210358977318,
0.021541940048336983,
0.005822713952511549,
-0.036189112812280655,
-0.0035083426628261805,
0.04671624302864075,
0.026284193620085716,
-0.06507986038923264,
-0.014764889143407345,
0.006966236047446728,
0.026654155924916267,
0.1888829469680786,
-0.03887975215911865,
0.02054976485669613,
-0.068443164229393,
-0.07204189151525497,
-0.008172820322215557,
0.00613802345469594,
-0.046346280723810196,
-0.008862297050654888,
0.008000451140105724,
-0.05559535697102547,
0.02450164407491684,
0.060270342975854874,
-0.0273436326533556,
0.07291635125875473,
-0.03975421190261841,
0.08038288354873657,
-0.03649181127548218,
0.035180121660232544,
-0.0026612114161252975,
0.04483279585838318,
0.012393762357532978,
0.005187890958040953,
-0.0030395828653126955,
-0.013343894854187965,
0.015143260359764099,
-0.022803176194429398,
-0.0050575630739331245,
0.03561735153198242,
0.037769865244627,
-0.061447497457265854,
0.016993075609207153,
-0.010157166980206966,
-0.038005296140909195,
-0.03975421190261841,
0.02771359495818615,
0.008303147740662098,
0.04123406484723091,
0.09242349863052368,
0.012511477805674076,
-0.020667480304837227,
-0.031110528856515884,
0.05704157426953316,
-0.04321841150522232,
0.07849942892789841,
0.022063251584768295,
-0.07661598175764084,
0.020516132935881615,
-0.022534113377332687,
-0.030421052128076553,
0.005112216807901859,
0.024198947474360466,
-0.03412068262696266,
0.03322940692305565,
0.05071857199072838,
0.01701829954981804,
0.051761195063591,
0.00499029690399766,
-0.002884030109271407,
-0.06706421077251434,
0.05166029557585716,
-0.006545823533087969,
0.017085565254092216,
0.0026612114161252975,
0.019490325823426247,
0.04409286752343178,
0.019658491015434265,
0.04183945804834366,
-0.05092036724090576,
-0.0519966259598732,
0.013898839242756367,
-0.012612376362085342,
-0.02472025901079178,
0.018060922622680664,
-0.018582234159111977,
-0.00008112648356473073,
0.037736229598522186,
0.07910482585430145,
-0.006369250360876322,
0.03425521403551102,
-0.004096920136362314,
0.05270291864871979,
0.013369118794798851,
0.03558371961116791,
-0.02021343633532524,
0.012267637997865677,
-0.03861068934202194,
0.0005517914541997015,
-0.02231549844145775,
0.0185149684548378,
0.0049987053498625755,
0.009274301119148731,
-0.06544982641935349,
0.026385091245174408,
0.03235495090484619,
-0.007554813753813505,
-0.03354892134666443,
0.017909575253725052,
-0.007878531701862812,
0.0034810160286724567,
-0.033834803849458694,
-0.026603706181049347,
-0.03006790578365326,
0.006613089237362146,
-0.04863332584500313,
-0.0035714046098291874,
0.0003034853143617511,
0.00672660069540143,
-0.024316662922501564,
0.010283291339874268,
-0.008904337882995605,
0.01286462415009737,
0.025964679196476936,
-0.010922318324446678,
-0.04130132868885994,
0.014521049335598946,
0.047422535717487335,
0.02695685252547264,
-0.02219778299331665,
0.028218090534210205,
-0.028688952326774597,
-0.009030461311340332,
0.028739402070641518,
0.022819994017481804,
0.01080460287630558,
-0.01994437165558338,
-0.037769865244627,
0.0409649983048439,
-0.04446282982826233,
0.007495956029742956,
0.05741153657436371,
-0.05879049003124237,
-0.013554100878536701,
-0.00637765834107995,
0.013814756646752357,
0.028789851814508438,
-0.06709784269332886,
-0.012990747578442097,
0.030622851103544235,
0.01145203784108162,
0.019439876079559326,
0.0069031743332743645,
-0.0060875737108290195,
-0.0005058088572695851,
0.051593028008937836,
-0.015471181832253933,
-0.045606352388858795,
0.0017699368763715029,
0.041166797280311584,
-0.0018624275689944625,
0.011880858801305294,
0.028604870662093163,
0.02889075130224228,
-0.000581220374442637,
0.02707456797361374,
-0.05172755941748619,
-0.009509732015430927,
0.0297988411039114,
-0.011561345309019089,
-0.009316341951489449,
0.019978005439043045,
-0.0188849326223135,
0.007243708241730928,
-0.011166157200932503,
-0.020179802551865578,
-0.011931308545172215,
-0.01288984902203083,
0.0468507744371891,
-0.023896249011158943,
-0.01302438136190176,
0.039451513439416885,
-0.052030257880687714,
0.02359355241060257,
-0.020078903064131737,
0.026822321116924286,
-0.03659270703792572,
0.004265085328370333,
0.012637601234018803,
-0.007533792871981859,
-0.03237176686525345,
0.02675505541265011,
-0.006032919976860285,
-0.018430886790156364,
-0.06962031871080399,
-0.024669809266924858,
-0.01632041484117508,
-0.025931045413017273,
-0.039081551134586334,
-0.053678274154663086,
0.03186727315187454,
0.004490006249397993,
-0.04530365765094757,
-0.023038607090711594,
-0.014764889143407345,
0.018145006150007248,
-0.024585725739598274,
-0.02054976485669613,
0.0385097898542881,
0.06185109540820122,
0.04547182098031044,
-0.01134273037314415,
-0.0375344343483448,
0.0320018045604229,
0.009652672335505486,
-0.03306124359369278,
0.004044368863105774,
0.01878403313457966,
0.017455529421567917,
0.011569753289222717,
-0.005843734368681908,
0.014605131931602955,
0.030622851103544235,
-0.01589159481227398,
-0.059362251311540604,
0.04358837381005287,
0.0065416195429861546,
0.01064484566450119,
0.032607197761535645,
0.054384566843509674,
-0.04617811366915703,
-0.03363300487399101,
-0.023778533563017845,
-0.009879695251584053,
0.02413167990744114,
-0.03326304256916046,
0.014630356803536415,
0.04826335981488228,
0.007294157985597849,
0.016009310260415077,
-0.00788693968206644,
-0.02065066434442997,
0.02487160637974739,
0.029597043991088867,
-0.060741204768419266,
-0.02315632253885269,
-0.014159495010972023,
-0.048868756741285324,
-0.0375344343483448,
-0.007743999361991882,
-0.0326240137219429,
-0.049406882375478745,
0.0009217545157298446,
-0.04012417420744896,
-0.009459282271564007,
-0.01082982774823904,
-0.039249714463949203,
-0.01588318683207035,
-0.02337493747472763,
0.0012223494704812765,
0.010577579960227013,
-0.0185149684548378,
0.030236070975661278,
-0.0546872653067112,
-0.0367945060133934,
0.011401588097214699,
-0.0569070428609848,
-0.01866631768643856,
-0.040460504591464996,
0.01679127663373947,
0.019725756719708443,
0.034911058843135834,
0.013074830174446106,
0.03571825101971626,
-0.05391370505094528,
0.04321841150522232,
-0.006020307540893555,
0.01935579441487789,
0.06296098232269287,
0.03460836037993431,
-0.02214733324944973,
0.04927235096693039,
-0.0446309968829155,
-0.026788687333464622,
0.005423321854323149,
0.059833113104104996,
-0.01846451871097088,
0.02438392862677574,
0.05973221734166145,
0.01829635351896286,
-0.03230449929833412,
0.057310640811920166,
-0.010350557044148445,
-0.09585405886173248,
-0.013108463026583195,
0.00992173608392477,
0.0029891333542764187,
0.0011845123954117298,
-0.047792498022317886,
-0.07654871791601181,
0.030353786423802376,
0.022534113377332687,
-0.04160402715206146,
-0.010745745152235031,
-0.027747228741645813,
-0.054384566843509674,
-0.02477070689201355,
-0.005217319820076227,
-0.014613539911806583,
-0.00020521387341432273,
-0.016665153205394745,
-0.0006526904762722552,
0.023442203179001808,
0.00213359366171062,
-0.005086991935968399,
-0.037635330110788345,
0.019338976591825485,
0.00391824496909976,
-0.011670652776956558,
-0.006777050439268351,
0.020566582679748535,
-0.03227086737751961,
-0.008256902918219566,
0.0055368333123624325,
0.07856670022010803,
-0.040157806128263474,
-0.03938424959778786,
0.025207936763763428,
-0.026132844388484955,
0.008038287982344627,
-0.02118879184126854,
-0.019725756719708443,
0.007865918800234795,
-0.033515289425849915,
0.04957504943013191,
0.009324750863015652,
0.018548602238297462,
0.013999737799167633,
-0.030891913920640945,
-0.004649762995541096,
-0.04937325045466423,
-0.038913387805223465,
-0.01743871346116066,
-0.0038867141120135784,
0.017304180189967155,
0.004290310200303793,
-0.047153472900390625,
-0.04681714251637459,
-0.007950001396238804,
-0.04920508340001106,
-0.03760169818997383,
-0.004632946569472551,
-0.055225394666194916,
0.03723173588514328,
-0.08764760941267014,
-0.032119520008563995,
0.05377917364239693,
0.00866890698671341,
-0.014773297123610973,
-0.05092036724090576,
0.03227086737751961,
-0.05949678272008896,
0.02487160637974739,
0.0475907027721405,
-0.026502806693315506,
-0.028318990021944046,
0.01785912550985813,
0.06666061282157898,
-0.02401396445930004,
-0.04718710482120514,
-0.011771551333367825,
0.008063512854278088,
0.047422535717487335,
-0.016925809904932976,
-0.009719938039779663,
0.025342468172311783,
-0.014739664271473885,
0.01610179990530014,
-0.028739402070641518,
-0.0075590177439153194,
0.021710103377699852,
-0.010064676403999329,
0.0016963646048679948,
0.016993075609207153,
0.03595368191599846,
-0.0016879563918337226,
-0.003386423224583268,
0.026771871373057365,
0.04257938265800476,
0.018548602238297462,
0.05260201916098595,
-0.055763520300388336,
-0.004725437145680189,
0.002390045439824462,
0.029866108670830727,
-0.00635243346914649,
-0.025964679196476936,
-0.02450164407491684,
0.03033697046339512,
-0.05761333554983139,
0.042276687920093536,
0.06807319819927216,
-0.01636245660483837,
-0.04991137981414795,
-0.015799103304743767,
0.04500095918774605,
0.0142267607152462,
0.020465683192014694,
-0.005662957206368446,
-0.006280963774770498,
0.03598731383681297,
-0.021272875368595123,
0.012183555401861668,
-0.057579703629016876,
0.028049925342202187,
-0.004843152593821287,
0.008227474056184292,
0.02974839136004448,
-0.007037706207484007,
0.007983634248375893,
0.04772523418068886,
-0.002054766286164522,
-0.0060875737108290195,
-0.04691804200410843,
0.0019727859180420637,
0.05135759711265564,
-0.04755706712603569,
-0.007613671477884054,
0.01366340834647417,
-0.023677635937929153,
-0.01947350986301899,
-0.043083880096673965,
0.001593363587744534,
-0.00992173608392477,
0.0008870704914443195,
-0.039081551134586334,
0.01286462415009737,
0.013015972450375557,
0.01204061508178711,
0.036559075117111206,
-0.04809519648551941,
-0.041435860097408295,
-0.0059110005386173725,
0.012435803189873695,
0.03713083639740944,
-0.022601379081606865,
-0.02609921060502529,
0.021003810688853264,
0.06370090693235397,
-0.015975676476955414,
-0.006070757284760475,
0.001963326707482338,
0.02369445189833641,
0.00987128634005785,
0.014134270139038563,
-0.01350365113466978,
-0.01082982774823904,
-0.006537415087223053,
-0.009820837527513504,
-0.013083239085972309,
0.03289307653903961,
-0.032741729170084,
-0.020078903064131737,
0.00018576979346107692,
-0.06962031871080399,
-0.022214598953723907,
-0.0014682908076792955,
-0.029512960463762283,
-0.04220942035317421,
0.03652544319629669,
0.00799624715000391,
-0.025426551699638367,
-0.0024320867378264666,
0.011729510501027107,
-0.0010815112618729472,
0.02910936437547207,
0.02139059081673622,
0.04264665022492409,
0.014117453247308731,
-0.04775886610150337,
0.020835645496845245,
0.006642518565058708,
-0.005961449816823006,
-0.024636175483465195,
-0.014840562827885151,
0.030084721744060516,
-0.018868114799261093,
-0.021541940048336983,
0.01700989156961441,
-0.059362251311540604,
-0.01733781397342682,
0.020398417487740517,
-0.016564253717660904,
0.038543421775102615,
0.020667480304837227,
-0.00880343932658434,
0.0061085945926606655,
0.028419889509677887,
-0.030051089823246002,
-0.011208198964595795,
0.0188849326223135,
-0.023408571258187294,
0.03813982754945755,
-0.027209101244807243,
0.027646329253911972,
0.025392917916178703,
0.05579715594649315,
-0.0297988411039114,
-0.00045982623123563826,
0.03729900345206261,
0.005843734368681908,
-0.005112216807901859,
-0.034272029995918274,
0.0029449898283928633,
0.03534828871488571,
-0.03334712237119675,
-0.006915786303579807,
-0.008744580671191216,
-0.011325914412736893,
0.01695103384554386,
-0.0027242733631283045,
0.012376945465803146,
-0.012217189185321331,
0.012906664982438087,
0.06699694693088531,
0.008408251218497753,
0.0030732157174497843,
0.05596531927585602,
-0.0004989771405234933,
-0.035650983452796936,
0.008980012498795986,
-0.007840693928301334,
-0.02349265292286873,
0.013495243154466152,
-0.01134273037314415,
0.026570074260234833,
0.01568138785660267,
-0.02717546746134758,
-0.039989642798900604,
0.0011855633929371834,
-0.03669360652565956,
0.0030395828653126955,
0.004183104727417231,
0.03914881870150566,
-0.05932861939072609,
0.015445956960320473,
0.013848389498889446,
0.05492269620299339,
-0.03259038180112839,
-0.0018487642519176006,
0.04547182098031044,
-0.002766314661130309,
0.061447497457265854,
0.03275854513049126,
-0.03783712908625603,
0.033464837819337845,
0.003424260299652815,
-0.03975421190261841,
0.049339618533849716,
0.008147595450282097,
-0.01653062179684639,
-0.012477844953536987,
-0.0201125368475914,
0.07829763740301132,
-0.03053876757621765,
0.04792702943086624,
0.05831962823867798,
-0.01979302242398262,
-0.01733781397342682,
-0.029647493734955788,
-0.013360710814595222,
0.07150376588106155,
-0.007226891815662384,
-0.040157806128263474,
-0.039081551134586334,
-0.007294157985597849,
0.03407023474574089,
-0.024888422340154648,
0.04944051802158356,
0.026603706181049347,
0.019170813262462616,
-0.055931687355041504,
-0.020566582679748535,
0.04318477585911751,
-0.008517558686435223,
-0.009467690251767635,
0.004855765029788017,
-0.017825491726398468,
-0.018699949607253075,
0.015395508147776127,
-0.02707456797361374,
-0.02081882953643799,
0.027679963037371635,
-0.05044950544834137,
-0.005524220876395702,
0.009989002719521523,
0.021306507289409637,
0.02926071360707283,
-0.04385743662714958,
0.0030858281534165144,
0.018952198326587677,
0.003291830187663436,
0.001408382086083293,
0.015647755935788155,
-0.019809840247035027,
0.0033948314376175404,
-0.025746064260601997,
-0.012133106589317322,
0.05260201916098595,
-0.006785458419471979,
-0.03652544319629669,
-0.010569171980023384,
0.01351205911487341,
0.0053980969823896885,
0.034053415060043335,
0.02192871831357479,
0.04358837381005287,
0.024030782282352448,
0.00992173608392477,
0.0018561214674264193,
-0.038106195628643036,
0.03622274473309517,
0.033027611672878265,
-0.026065578684210777,
0.029058916494250298,
-0.0335993729531765,
0.014378109015524387,
0.043151143938302994,
-0.01503395289182663,
0.00855959951877594,
-0.028386255726218224,
0.0011750530684366822,
0.030992813408374786,
-0.012713275849819183,
-0.0375344343483448,
-0.008383026346564293,
-0.00577646866440773,
-0.016606295481324196,
0.023509470745921135,
0.019507141783833504,
0.01281417440623045,
-0.04755706712603569,
0.00813498254865408,
-0.008055104874074459,
0.004136859439313412,
0.003005949780344963,
0.009593814611434937,
0.028167640790343285,
-0.07150376588106155,
0.00575124379247427,
-0.04873422160744667,
-0.03992237523198128,
0.032287683337926865,
-0.010628029704093933,
0.042444851249456406,
-0.0005575721734203398,
-0.02952977828681469,
-0.010770970024168491,
0.022971341386437416,
-0.006991460919380188,
0.015227342955768108,
0.022450029850006104,
-0.03988874331116676,
0.014327660202980042,
-0.020684298127889633,
0.016774460673332214,
0.02455209381878376,
-0.017144424840807915,
-0.03428884968161583,
-0.009728346951305866,
0.028924383223056793,
-0.012435803189873695,
0.014621948823332787,
0.046346280723810196,
0.04510185867547989,
-0.021743737161159515,
-0.019658491015434265,
0.005885775666683912,
-0.0012759520905092359,
-0.04547182098031044,
0.018329987302422523,
0.03706357255578041,
0.01834680326282978,
-0.012528293766081333,
0.0387452207505703,
0.03242221474647522,
0.024266213178634644,
-0.023845799267292023,
-0.04069593548774719,
-0.043622005730867386,
-0.027141833677887917,
0.015689795836806297,
-0.020936544984579086,
-0.0681741014122963,
-0.0029576022643595934,
-0.0620528943836689,
0.009080911055207253,
0.007260524667799473,
-0.030471501871943474,
0.004277697764337063,
0.007327790837734938,
-0.011889266781508923,
0.02493887208402157,
-0.03396933525800705,
-0.00031504666549153626,
-0.005250952672213316,
-0.026284193620085716,
-0.01553844753652811,
-0.04029233753681183,
0.0006921041640453041,
-0.03354892134666443,
0.0289412010461092,
-0.008000451140105724,
-0.008315760642290115,
0.050146810710430145,
0.004065389279276133,
0.04486642777919769,
0.001922336407005787,
-0.022534113377332687,
0.05872322618961334,
-0.0021325426641851664,
0.030421052128076553,
-0.061447497457265854,
-0.004246166907250881,
-0.01785912550985813,
0.016984667629003525,
-0.04812882840633392,
-0.07722137868404388,
0.035011958330869675,
0.017573244869709015,
0.0527365505695343,
-0.002566618612036109,
-0.007163830101490021,
-0.011023216880857944,
-0.012486252933740616,
0.03398615121841431,
-0.038812488317489624,
0.02492205612361431,
0.005612507462501526,
0.010493497364223003,
-0.01014035101979971,
0.0042020236141979694,
0.008227474056184292,
-0.010989584028720856,
0.03575188294053078,
-0.006423903629183769,
0.007353015709668398,
0.040090542286634445,
0.043521106243133545,
-0.015345058403909206,
-0.0007078696507960558,
0.004477393813431263,
0.0056545487605035305,
0.02016298659145832,
0.0022786359768360853,
0.04076319932937622,
-0.01572342962026596,
0.025056587532162666,
0.047254372388124466,
0.00028955916059203446,
-0.01141840498894453,
0.004296616185456514,
0.013327077962458134,
0.035920049995183945,
0.017522795125842094,
-0.014848971739411354,
-0.009518139995634556,
-0.0019664797000586987,
-0.016387680545449257,
-0.03460836037993431,
-0.020532948896288872,
-0.017136014997959137,
-0.051862090826034546,
-0.04311751201748848,
0.00501552177593112,
0.03080783225595951,
-0.00427979975938797,
0.00914817675948143,
0.01690058410167694,
-0.013192545622587204,
0.014218352735042572,
-0.008980012498795986,
0.0034116478636860847,
0.038173459470272064,
0.040191441774368286,
0.018800849094986916,
0.06454173475503922,
0.03395251929759979,
-0.016875360161066055,
-0.03911518305540085,
-0.002631782554090023,
-0.09558499604463577,
-0.00505335908383131,
-0.013461610302329063,
-0.010527130216360092,
-0.02700730226933956,
0.05472089722752571,
-0.020415233448147774,
0.02123924158513546,
-0.019019464030861855,
-0.007655712775886059,
0.0017751919804140925,
0.014537866227328777,
-0.06921672075986862,
-0.032808996737003326,
-0.02636827528476715,
-0.016219517216086388,
0.006095982156693935,
-0.009812428615987301,
0.00008408250869251788,
0.0071386052295565605,
-0.016404498368501663,
-0.023089056834578514,
-0.026015128940343857,
0.019591225311160088,
-0.0148994205519557,
0.027528613805770874,
0.07997928559780121,
-0.011115707457065582,
0.002745294012129307,
0.015202118083834648,
0.009644264355301857,
0.052232056856155396,
0.04358837381005287,
-0.011931308545172215,
0.016076575964689255,
-0.02021343633532524,
0.019170813262462616,
-0.012746908701956272,
-0.028806667774915695,
-0.001711079035885632,
0.029193447902798653,
-0.014882604591548443,
0.025762882083654404,
0.03750079870223999,
0.034473828971385956,
0.016143841668963432,
0.027898577973246574,
-0.026469174772500992,
0.05717610567808151,
-0.003979204688221216,
-0.02958022803068161,
-0.04792702943086624,
-0.0006984103820286691,
0.019187629222869873,
0.011620203033089638,
0.02984929084777832,
-0.0006721345707774162,
0.03820709139108658,
-0.019708940759301186,
-0.0016711398493498564,
-0.0018508662469685078,
0.004910418763756752,
0.0284535214304924,
-0.001813029171898961,
-0.01807774044573307,
-0.04002327471971512,
0.005864755250513554,
-0.0013022278435528278,
-0.020886095240712166,
-0.03568461909890175,
-0.009190218523144722,
-0.0003549858520273119,
0.02038159966468811,
0.003426362294703722,
-0.010585987940430641,
-0.030622851103544235,
0.02749498188495636,
-0.007966818287968636,
-0.004902010317891836,
0.022180967032909393,
0.04294934496283531,
-0.0007062930963002145,
0.01497509516775608,
0.015269383788108826,
0.0065290071070194244,
0.0289412010461092,
-0.0071133803576231,
0.028419889509677887,
0.008353597484529018,
0.03615548089146614,
0.029546594247221947,
-0.01198175735771656,
0.01925489492714405,
-0.02995019033551216,
0.009316341951489449,
-0.01562253013253212,
-0.02889075130224228,
-0.001837202813476324,
0.0048809899017214775,
-0.04173855856060982,
0.03847615793347359,
-0.03294352814555168,
-0.017371445894241333,
0.03689540550112724,
0.00919862650334835,
-0.022870443761348724,
0.02290407568216324,
0.012402170337736607,
0.017960024997591972,
-0.0026549051981419325,
0.015269383788108826,
-0.034473828971385956,
-0.014058595523238182,
0.004178900737315416,
0.018918564543128014,
0.028066741302609444,
0.07271455228328705,
0.04247848317027092,
-0.02075156383216381,
0.01834680326282978,
-0.010813010856509209,
0.007109176367521286,
0.0010305362520739436,
-0.0022344926837831736,
-0.01952395960688591,
-0.021811002865433693,
0.006949419621378183,
-0.030471501871943474,
0.045169126242399216,
0.011409997008740902,
-0.017960024997591972,
0.038913387805223465,
0.004494210239499807,
0.040460504591464996,
-0.05599895119667053
] |
Is there a unified model for generating molecules considering different
conditions, such as binding pockets and chemical properties? Although
target-aware generative models have made significant advances in drug design,
they do not consider chemistry conditions and cannot guarantee the desired
chemical properties. Unfortunately, merging the target-aware and chemical-aware
models into a unified model to meet customized requirements may lead to the
problem of negative transfer. Inspired by the success of multi-task learning in
the NLP area, we use prefix embeddings to provide a novel generative model that
considers both the targeted pocket's circumstances and a variety of chemical
properties. All conditional information is represented as learnable features,
which the generative model subsequently employs as a contextual prompt.
Experiments show that our model exhibits good controllability in both single
and multi-conditional molecular generation. The controllability enables us to
outperform previous structure-based drug design methods. More interestingly, we
open up the attention mechanism and reveal coupling relationships between
conditions, providing guidance for multi-conditional molecule generation. | [
-0.0063058240339159966,
0.002607619157060981,
-0.026546914130449295,
-0.02462673746049404,
-0.005327092949301004,
0.006678673904389143,
-0.034898750483989716,
-0.001985425828024745,
-0.04254217445850372,
0.00596559839323163,
0.040901634842157364,
-0.00779722398146987,
0.03012627363204956,
-0.0613710954785347,
-0.031207537278532982,
0.002647234359756112,
-0.03221423178911209,
0.015286846086382866,
-0.03018220141530037,
-0.025670716539025307,
0.01992882788181305,
-0.017617158591747284,
0.014410649426281452,
0.025726644322276115,
0.06275063753128052,
0.013981872238218784,
-0.0015088770305737853,
0.004912297707051039,
-0.031860023736953735,
0.08195240795612335,
0.012965856119990349,
0.037490058690309525,
-0.00782052706927061,
-0.004912297707051039,
-0.06502502411603928,
-0.000050902752263937145,
-0.009489030577242374,
0.06811968237161636,
0.005415644962340593,
0.04157276451587677,
0.0690145194530487,
-0.0039172545075416565,
-0.012770109809935093,
-0.009218714199960232,
0.012639611959457397,
-0.012387938797473907,
-0.015165669843554497,
-0.04030507430434227,
-0.004567411262542009,
0.01789679564535618,
0.016498608514666557,
-0.01246250793337822,
0.030070345848798752,
-0.004050082061439753,
-0.002026206348091364,
0.1005949079990387,
0.014923317357897758,
0.021625295281410217,
0.03465639799833298,
0.03454454615712166,
-0.020469460636377335,
-0.0237318966537714,
-0.05134143307805061,
0.011539705097675323,
0.03937295079231262,
-0.02658419869840145,
-0.017262950539588928,
-0.013366669416427612,
0.02917550504207611,
0.034022554755210876,
-0.040789779275655746,
0.01682485267519951,
-0.028877226635813713,
-0.01290992833673954,
-0.0027917136903852224,
-0.004646642133593559,
0.029138220474123955,
0.07882047444581985,
0.05689689517021179,
-0.00042120387661270797,
0.011306673288345337,
0.06047625467181206,
-0.01126938872039318,
0.014317437075078487,
0.04973817989230156,
-0.01897806115448475,
0.0360732302069664,
-0.05137871950864792,
-0.0032088395673781633,
0.008645457215607166,
-0.013357347808778286,
0.017542587593197823,
-0.024253886193037033,
-0.0398576557636261,
0.000654235074762255,
0.025931712239980698,
0.027441753074526787,
0.025894425809383392,
-0.03885095939040184,
0.002065821550786495,
0.02962292544543743,
-0.03256843984127045,
-0.01695534959435463,
0.03575630858540535,
-0.03706128150224686,
-0.03959666192531586,
0.026863835752010345,
0.016228292137384415,
-0.03885095939040184,
0.11923740059137344,
-0.04448099434375763,
0.0010404842905700207,
0.01079400535672903,
0.04686723276972771,
-0.036800287663936615,
-0.022613346576690674,
-0.0771799311041832,
-0.03305314481258392,
-0.0002842980611603707,
-0.07800020277500153,
0.010104232467710972,
0.024403026327490807,
-0.040342360734939575,
-0.0575680285692215,
-0.007102790754288435,
0.07095333933830261,
-0.016759604215621948,
-0.019406838342547417,
0.022389637306332588,
0.05108043923974037,
-0.03405984118580818,
0.007638762705028057,
0.0461961030960083,
0.008146770298480988,
0.03152446076273918,
0.01249979343265295,
0.04317602142691612,
-0.0167689248919487,
-0.06547244638204575,
0.0014576101675629616,
-0.004171258304268122,
-0.05842558294534683,
-0.04455556347966194,
-0.011893912218511105,
0.030349982902407646,
-0.0449284128844738,
-0.024533525109291077,
0.09231764078140259,
0.05354124680161476,
0.02518601156771183,
-0.039894942194223404,
-0.01979833096265793,
0.033370066434144974,
-0.014047120697796345,
-0.016088474541902542,
0.04064064100384712,
-0.01126938872039318,
-0.029827993363142014,
0.04649438336491585,
-0.02637913078069687,
0.05275826156139374,
-0.043250590562820435,
0.0192949827760458,
0.02574528567492962,
0.04779936000704765,
0.02399289235472679,
-0.011921876110136509,
0.032363373786211014,
-0.046606238931417465,
0.04854505881667137,
0.03392934054136276,
0.0557037778198719,
0.008589529432356358,
-0.003768114373087883,
-0.016284219920635223,
-0.007620119955390692,
0.043437015265226364,
-0.006879081018269062,
0.001886387588456273,
0.007699350826442242,
-0.04847048968076706,
0.018055256456136703,
0.049141619354486465,
0.008883149363100529,
0.04060335457324982,
0.046233389526605606,
0.04899247735738754,
-0.005010170862078667,
0.06990935653448105,
0.008547584526240826,
0.031617671251297,
0.01880095712840557,
0.02334040403366089,
0.005369038786739111,
0.005401663016527891,
-0.038627251982688904,
-0.062042225152254105,
0.008496317081153393,
-0.03258708119392395,
-0.012257440946996212,
-0.021755792200565338,
-0.03219559043645859,
-0.01798068732023239,
-0.035663094371557236,
0.029082292690873146,
0.006669352762401104,
-0.008873827755451202,
0.01966783218085766,
0.015957975760102272,
-0.040789779275655746,
0.029082292690873146,
-0.03474961221218109,
-0.013114995323121548,
-0.07483097910881042,
0.004113000817596912,
-0.02645370177924633,
-0.023004839196801186,
0.018689101561903954,
-0.029958490282297134,
-0.002866283757612109,
-0.04675538092851639,
0.04295231029391289,
0.03484282270073891,
-0.04272859916090965,
0.038515396416187286,
0.004513814114034176,
0.014606395736336708,
-0.005131347104907036,
-0.017682407051324844,
0.004805103410035372,
0.034134410321712494,
0.0120244100689888,
-0.00007256737444549799,
-0.011288031004369259,
0.02740446850657463,
0.007829847745597363,
0.004194561392068863,
-0.04474198818206787,
-0.011073642410337925,
-0.0019376544514670968,
0.02645370177924633,
-0.0060122050344944,
-0.03758327290415764,
-0.05842558294534683,
0.06398104876279831,
0.022072715684771538,
-0.0058817071840167046,
0.08210155367851257,
0.03959666192531586,
0.009465727023780346,
0.00958224292844534,
-0.013003140687942505,
0.03258708119392395,
-0.009246678091585636,
-0.039633944630622864,
-0.013459881767630577,
0.0016242273850366473,
-0.08642660826444626,
0.011949840001761913,
-0.051863424479961395,
0.026118136942386627,
-0.03560716658830643,
0.026416417211294174,
0.05219898745417595,
-0.01208965852856636,
-0.044443707913160324,
0.0575680285692215,
-0.025726644322276115,
0.03197187930345535,
0.058127302676439285,
0.014177617616951466,
-0.03303450345993042,
-0.006972293369472027,
0.04686723276972771,
0.006007544230669737,
-0.04131177067756653,
0.02190493233501911,
0.02291162684559822,
0.0240488201379776,
-0.03941023722290993,
-0.002262732945382595,
0.0009927129140123725,
0.003982502967119217,
-0.009535636752843857,
-0.00952631514519453,
-0.027889173477888107,
-0.029660210013389587,
0.012602327391505241,
-0.09090080857276917,
-0.015920691192150116,
-0.000014455216842179652,
0.006813832093030214,
-0.024887731298804283,
-0.034954678267240524,
0.014177617616951466,
0.016657069325447083,
-0.03184138238430023,
-0.013003140687942505,
0.0005688873934559524,
-0.04011864960193634,
-0.0633099153637886,
-0.04664352536201477,
0.004805103410035372,
0.022948911413550377,
0.028933152556419373,
0.043250590562820435,
-0.008580208756029606,
0.052870117127895355,
-0.05037202313542366,
-0.024775877594947815,
0.04858234524726868,
-0.026360489428043365,
-0.002801035065203905,
-0.01968647539615631,
0.016116438433527946,
0.04093892127275467,
0.033127713948488235,
-0.07281758636236191,
-0.03877639025449753,
-0.005341074895113707,
-0.03241930156946182,
-0.002345459070056677,
-0.04317602142691612,
-0.03620372712612152,
0.006879081018269062,
-0.009386496618390083,
0.028523018583655357,
0.023526828736066818,
0.009852559305727482,
0.055144503712654114,
-0.011763414368033409,
-0.054324232041835785,
-0.08620289713144302,
-0.009451745077967644,
-0.04817220941185951,
-0.015137706883251667,
-0.030014418065547943,
0.0016463653882965446,
-0.024309813976287842,
-0.031617671251297,
0.012490471825003624,
-0.0014995557721704245,
-0.004772478714585304,
0.03620372712612152,
0.004686257336288691,
-0.03618508577346802,
-0.016992634162306786,
0.06111010164022446,
0.009400478564202785,
0.014932638965547085,
0.0009111519902944565,
-0.02429117262363434,
-0.0626760721206665,
0.006762565113604069,
0.035029251128435135,
-0.0335564911365509,
0.03309043124318123,
-0.019761044532060623,
-0.030163558200001717,
0.009367854334414005,
-0.03213966265320778,
-0.06558430194854736,
0.006520213093608618,
-0.008841203525662422,
-0.07829847931861877,
0.04765021800994873,
-0.017374806106090546,
0.033892057836055756,
0.014932638965547085,
-0.006687995512038469,
-0.0010119379730895162,
0.04656895250082016,
0.008724687620997429,
0.022930270060896873,
0.03126346692442894,
0.01974240317940712,
-0.011604953557252884,
0.013804768212139606,
-0.05383952707052231,
0.05398866906762123,
-0.013907302170991898,
0.04064064100384712,
0.01518431305885315,
-0.023638684302568436,
-0.03178545460104942,
0.041610050946474075,
0.01715109683573246,
-0.001830460038036108,
0.004357683472335339,
0.026789266616106033,
-0.021215159446001053,
-0.0360545851290226,
0.0036702414508908987,
-0.01193119678646326,
0.02954835630953312,
-0.05984241142868996,
0.011875269934535027,
-0.0006122894701547921,
0.029082292690873146,
0.02164393663406372,
0.005038134288042784,
-0.00867342110723257,
-0.04753836244344711,
0.03877639025449753,
0.013245493173599243,
-0.026882478967308998,
-0.025987638160586357,
-0.051416002213954926,
0.027441753074526787,
0.009572921320796013,
0.004085036925971508,
-0.030536407604813576,
-0.023825109004974365,
-0.020171180367469788,
0.04992460459470749,
-0.004106009844690561,
-0.05838829651474953,
-0.0158088356256485,
-0.003015423659235239,
0.005727906711399555,
0.05111772194504738,
-0.027553608641028404,
-0.03144989162683487,
-0.00178035837598145,
0.006338448729366064,
0.002279045060276985,
0.035980015993118286,
-0.0131336385384202,
-0.04668080806732178,
-0.0765833705663681,
0.05070758983492851,
0.007638762705028057,
-0.005182613618671894,
-0.08955854922533035,
-0.030070345848798752,
-0.026714695617556572,
-0.04481656104326248,
-0.026546914130449295,
-0.006883741356432438,
-0.003674902021884918,
0.020991450175642967,
0.014634358696639538,
-0.0404914990067482,
-0.016908744350075722,
-0.004078045953065157,
0.01120414026081562,
-0.04511484131217003,
-0.014923317357897758,
-0.017561230808496475,
-0.018698424100875854,
-0.03614779934287071,
0.07889503985643387,
-0.0652114525437355,
-0.03506653383374214,
0.03089061565697193,
0.0017267611110582948,
0.012602327391505241,
0.014065762981772423,
0.05134143307805061,
-0.02764682099223137,
0.04686723276972771,
-0.016312183812260628,
0.012471829541027546,
-0.016796888783574104,
-0.003849675413221121,
0.012956534512341022,
-0.06312348693609238,
-0.002085629152134061,
0.019080594182014465,
-0.00619862973690033,
0.03639015182852745,
-0.01626557670533657,
0.004926279652863741,
-0.05928313732147217,
0.0180366151034832,
-0.009740703739225864,
0.022874342277646065,
-0.06905180215835571,
0.019723759964108467,
-0.006259217858314514,
0.030573692172765732,
-0.06047625467181206,
-0.02531650848686695,
-0.010551652871072292,
-0.006427000276744366,
-0.010011020116508007,
-0.0012455517426133156,
-0.0001064661264535971,
0.02928736060857773,
-0.009955092333257198,
-0.0068464563228189945,
-0.011008393950760365,
-0.0008284259238280356,
0.000907073903363198,
0.023806467652320862,
0.001013103174045682,
0.02917550504207611,
-0.03200916573405266,
0.07867132872343063,
0.031170252710580826,
0.017505303025245667,
-0.03215830400586128,
-0.009917807765305042,
0.03741548955440521,
0.04317602142691612,
-0.010085590183734894,
0.040976203978061676,
0.01180069986730814,
-0.05398866906762123,
0.017579874023795128,
0.004518474917858839,
0.04448099434375763,
-0.017421411350369453,
-0.015053815208375454,
-0.023806467652320862,
0.02992120571434498,
0.016563856974244118,
0.015771551057696342,
-0.0020786381792277098,
0.0014284811913967133,
0.008668760769069195,
-0.02785188890993595,
-0.03284807875752449,
0.013804768212139606,
-0.042355749756097794,
0.002272054087370634,
0.008053557947278023,
-0.006874420214444399,
0.05320568382740021,
-0.05007374286651611,
-0.0607372522354126,
0.03441404551267624,
0.025931712239980698,
-0.031934596598148346,
0.006762565113604069,
-0.0040244488045573235,
-0.014764856547117233,
-0.007517586462199688,
-0.01950005069375038,
-0.006473606452345848,
0.018707744777202606,
0.022948911413550377,
-0.013049746863543987,
0.013487845659255981,
0.02000339701771736,
0.012005766853690147,
0.02690112218260765,
-0.03829168528318405,
-0.00500084925442934,
0.009945771656930447,
-0.011315994895994663,
-0.014848748221993446,
0.02304212376475334,
0.0028220077510923147,
-0.0038053994067013264,
-0.03821711614727974,
0.014354721643030643,
-0.02518601156771183,
-0.016796888783574104,
-0.03310907259583473,
0.0031179573852568865,
0.024384384974837303,
-0.03428354859352112,
0.030461838468909264,
-0.010141517966985703,
-0.015734266489744186,
0.024086104705929756,
0.03178545460104942,
0.050595734268426895,
0.049775462597608566,
0.039522089064121246,
-0.021606652066111565,
0.012611648067831993,
0.032866720110177994,
0.002148547675460577,
0.015669018030166626,
0.010327942669391632,
-0.029697496443986893,
0.03329549729824066,
-0.014913996681571007,
0.010038984008133411,
-0.03903738781809807,
-0.0044765290804207325,
0.0056440155021846294,
0.014708928763866425,
0.009927129372954369,
-0.002361771184951067,
-0.030517766252160072,
-0.04779936000704765,
-0.01275146659463644,
0.015585126355290413,
0.0569341816008091,
0.01021608803421259,
-0.04298959672451019,
-0.03709856793284416,
-0.04392172023653984,
0.040901634842157364,
-0.005177953280508518,
0.03532752767205238,
-0.05764259770512581,
-0.026229990646243095,
0.01593933440744877,
-0.0001641413546167314,
-0.02677062340080738,
-0.050222884863615036,
0.007955685257911682,
0.03428354859352112,
0.023135337978601456,
0.028690800070762634,
-0.0014855738263577223,
0.010616901330649853,
0.014848748221993446,
-0.006697316654026508,
-0.07919332385063171,
0.01809254288673401,
-0.011698165908455849,
0.02822473831474781,
-0.015147027559578419,
-0.006259217858314514,
-0.0032228215131908655,
0.008831881918013096,
-0.0335378497838974,
0.0461961030960083,
-0.025092799216508865,
0.028634874150156975,
0.024570809677243233,
-0.0007043367950245738,
-0.04336244612932205,
-0.044779274612665176,
-0.015557162463665009,
-0.05626305192708969,
0.02214728482067585,
-0.06808239221572876,
-0.0278332456946373,
0.060588110238313675,
-0.031151609495282173,
0.0004797529836650938,
0.025857141241431236,
0.022687917575240135,
0.04153548181056976,
-0.05175156891345978,
0.03993222489953041,
-0.020469460636377335,
-0.0085382629185915,
0.0019667833112180233,
0.012937892228364944,
0.02177443541586399,
0.03556988015770912,
0.05462251231074333,
-0.0011342793004587293,
0.012714182026684284,
-0.021159233525395393,
-0.011222782544791698,
0.04880605265498161,
-0.00920473225414753,
-0.03385477140545845,
-0.013711555860936642,
0.01950005069375038,
0.01650792919099331,
-0.016479965299367905,
0.012965856119990349,
0.023806467652320862,
-0.04612153396010399,
-0.007443016394972801,
-0.00593297416344285,
-0.006399036850780249,
-0.002477121539413929,
-0.005061437375843525,
-0.008547584526240826,
0.06752312183380127,
0.024328457191586494,
-0.019015345722436905,
-0.03493603691458702,
0.016060510650277138,
0.02619270607829094,
-0.00485636992380023,
0.005415644962340593,
0.010225408710539341,
-0.014065762981772423,
-0.006427000276744366,
-0.03501060605049133,
-0.021215159446001053,
-0.030741475522518158,
-0.00886450707912445,
-0.0015519877197220922,
-0.004837727639824152,
0.008878489024937153,
0.001886387588456273,
-0.06170666217803955,
0.045599546283483505,
0.0007031716522760689,
-0.03657657653093338,
-0.01778494007885456,
0.01594865508377552,
-0.037993405014276505,
0.011604953557252884,
-0.01771037094295025,
-0.05428694933652878,
0.019816972315311432,
-0.0027590894605964422,
0.008226001635193825,
0.001642869901843369,
-0.010038984008133411,
-0.017878154292702675,
0.004551099147647619,
0.01683417335152626,
0.02719940058887005,
-0.039261095225811005,
-0.002491103485226631,
0.02518601156771183,
0.02391832135617733,
0.053690388798713684,
-0.026882478967308998,
0.028317950665950775,
-0.015240239910781384,
-0.043511584401130676,
0.03568173572421074,
0.010905859991908073,
-0.018772993236780167,
0.02455216646194458,
-0.018679780885577202,
0.011297352612018585,
0.000041435858292970806,
-0.09343618899583817,
0.017878154292702675,
0.005168632138520479,
0.002049509435892105,
0.03018220141530037,
0.016023224219679832,
-0.003989493940025568,
0.0205626729875803,
-0.047612935304641724,
-0.04772478714585304,
0.023675968870520592,
-0.021476155146956444,
-0.016349468380212784,
-0.0032065091654658318,
0.03765784204006195,
0.013487845659255981,
-0.05551735311746597,
0.04310144856572151,
-0.002092620125040412,
0.028187453746795654,
-0.032176949083805084,
-0.01243454497307539,
0.05857472121715546,
-0.0007031716522760689,
-0.02050674520432949,
0.03596137464046478,
0.028765371069312096,
0.03323956951498985,
-0.020469460636377335,
0.04645710065960884,
0.001992416800931096,
-0.01732819899916649,
0.029156863689422607,
0.012425223365426064,
0.03202780708670616,
0.023564115166664124,
-0.03387341648340225,
0.007014239206910133,
0.00008753234578762203,
0.012126943096518517,
0.025521576404571533,
0.014541146345436573,
0.00021424306032713503,
-0.011903233826160431,
0.010766041465103626,
-0.0036259654443711042,
-0.002249916084110737,
0.017682407051324844,
-0.0227811299264431,
0.03778833895921707,
0.0027101528830826283,
0.015519877895712852,
-0.004332049749791622,
-0.02240828052163124,
-0.004579063039273024,
-0.04776207357645035,
0.04187104478478432,
0.001290992833673954,
-0.029268717393279076,
0.06603171676397324,
-0.04481656104326248,
0.027497680857777596,
0.007610798813402653,
-0.011148212477564812,
-0.0021706856787204742,
0.037303633987903595,
-0.05764259770512581,
0.02632320299744606,
-0.00876197312027216,
0.010038984008133411,
0.02156936749815941,
0.04254217445850372,
0.013870016671717167,
0.01745869778096676,
0.0082306619733572,
-0.0044555566273629665,
-0.038366254419088364,
0.011996446177363396,
-0.008566226810216904,
0.026360489428043365,
0.060774534940719604,
-0.0379561223089695,
-0.04403357580304146,
-0.028056956827640533,
0.02354547195136547,
0.03562580794095993,
-0.0014331418788060546,
-0.01016016025096178,
-0.007624780759215355,
0.025204654783010483,
0.016340147703886032,
-0.010616901330649853,
-0.034898750483989716,
-0.030163558200001717,
0.03993222489953041,
-0.004080376122146845,
-0.0013667279854416847,
-0.013301420956850052,
0.008403104729950428,
-0.0008639631560072303,
0.03404119610786438,
-0.01816711202263832,
-0.05391409620642662,
0.031244823709130287,
0.011586311273276806,
0.04190833121538162,
-0.01193119678646326,
0.04172190651297569,
-0.02436574175953865,
-0.022165928035974503,
0.019183127209544182,
-0.03665114566683769,
0.03804933279752731,
0.01860520988702774,
-0.001610245555639267,
-0.014755534939467907,
0.05163971334695816,
-0.047501079738140106,
0.026174064725637436,
-0.06360819190740585,
-0.03652064874768257,
0.014354721643030643,
0.01543598622083664,
0.028262022882699966,
0.006860438268631697,
-0.034134410321712494,
0.014131011441349983,
0.010150838643312454,
-0.02177443541586399,
0.054510656744241714,
0.04380986467003822,
-0.00971273984760046,
-0.013487845659255981,
0.06196765601634979,
0.02043217606842518,
-0.02766546420753002,
-0.033444635570049286,
0.03301585838198662,
0.022128641605377197,
-0.00659944349899888,
0.01512838527560234,
0.01161427516490221,
-0.017701050266623497,
0.009479708969593048,
-0.04507755488157272,
-0.028243381530046463,
-0.05954413115978241,
0.017001956701278687,
0.0048889946192502975,
-0.06301163882017136,
0.014177617616951466,
-0.006040168460458517,
0.013674270361661911,
0.0072705731727182865,
-0.028262022882699966,
-0.042691316455602646,
0.0033043823204934597,
0.034208979457616806,
-0.019723759964108467,
-0.00016559779760427773,
-0.04448099434375763,
0.02822473831474781,
-0.04921618849039078,
0.030480479821562767,
-0.030536407604813576,
-0.06688927114009857,
-0.043698009103536606,
-0.03374291583895683,
0.01303110457956791,
-0.04481656104326248,
-0.009293284267187119,
0.01753326691687107,
0.03273622319102287,
-0.004875012673437595,
-0.0237318966537714,
-0.0021800068207085133,
0.0341716930270195,
0.0005301459459587932,
-0.03937295079231262,
-0.015836799517273903,
-0.030666904523968697,
0.03750870004296303,
-0.009675455279648304,
0.04190833121538162,
-0.04474198818206787,
0.04336244612932205,
-0.0016778246499598026,
0.006515552289783955,
0.007582834921777248,
-0.006962972227483988,
0.008645457215607166,
0.014103047549724579,
0.025931712239980698,
0.04317602142691612,
0.03948480635881424,
0.016023224219679832,
0.003949878737330437,
-0.003048048121854663,
0.02669605426490307,
-0.01110160630196333,
0.028709443286061287,
-0.021737150847911835,
-0.02397424913942814,
0.01948140747845173,
0.03959666192531586,
0.007624780759215355,
0.014317437075078487,
-0.02138294279575348,
-0.012732824310660362,
-0.000220651418203488,
0.025652073323726654,
0.060028836131095886,
-0.0335564911365509,
-0.04004408046603203,
-0.04246760532259941,
-0.000981061370112002,
-0.03247522935271263,
-0.019723759964108467,
-0.002868613926693797,
-0.006776547059416771,
0.027609536424279213,
0.009740703739225864,
-0.044145431369543076,
0.02764682099223137,
0.062042225152254105,
-0.02606220915913582,
0.01620965078473091,
-0.007480301428586245,
-0.009321248158812523,
-0.0024957640562206507,
-0.007265912834554911,
-0.022128641605377197,
0.03782562538981438,
-0.005560124292969704,
0.015193633735179901,
0.0284857340157032,
0.016163043677806854,
-0.02479451894760132,
0.011940518394112587,
-0.034637756645679474,
-0.03702399507164955,
0.001332938438281417,
0.008239982649683952,
-0.00782052706927061,
0.023881036788225174,
-0.015426665544509888,
-0.009540297091007233,
-0.03130074962973595,
-0.045711398124694824,
-0.004432253539562225,
0.046419814229011536,
0.007438355591148138,
-0.011893912218511105,
0.033631063997745514,
0.006030847318470478,
-0.004187570419162512,
0.004420601762831211,
0.048768769949674606,
0.009255998767912388,
0.04064064100384712,
0.008361158892512321,
-0.006189308594912291,
-0.058873001486063004,
0.0073777674697339535,
-0.05708332359790802,
-0.0664791390299797,
-0.02328447625041008,
0.01627489924430847,
-0.017747655510902405,
0.018008651211857796,
-0.02190493233501911,
-0.02904500812292099,
-0.002418863819912076,
0.03424626588821411,
-0.023526828736066818,
0.035588525235652924,
-0.014643680304288864,
-0.013786125928163528,
-0.03803069144487381,
-0.024477597326040268,
0.07028220593929291,
0.028317950665950775,
0.01664774864912033,
0.04436913877725601,
0.06886538118124008,
-0.040342360734939575,
0.012779430486261845,
-0.009144144132733345,
-0.020711813122034073,
0.023116694763302803,
0.0008150266367010772,
-0.0040221186354756355,
-0.012136264704167843,
-0.06841795891523361,
-0.01633082702755928,
-0.019127201288938522,
-0.03657657653093338,
0.057046037167310715,
-0.06368276476860046,
-0.0067206197418272495,
-0.016629105433821678
] |
A deep reinforcement learning technique is presented for task offloading
decision-making algorithms for a multi-access edge computing (MEC) assisted
unmanned aerial vehicle (UAV) network in a smart farm Internet of Things (IoT)
environment. The task offloading technique uses financial concepts such as cost
functions and conditional variable at risk (CVaR) in order to quantify the
damage that may be caused by each risky action. The approach was able to
quantify potential risks to train the reinforcement learning agent to avoid
risky behaviors that will lead to irreversible consequences for the farm. Such
consequences include an undetected fire, pest infestation, or a UAV being
unusable. The proposed CVaR-based technique was compared to other deep
reinforcement learning techniques and two fixed rule-based techniques. The
simulation results show that the CVaR-based risk quantifying method eliminated
the most dangerous risk, which was exceeding the deadline for a fire detection
task. As a result, it reduced the total number of deadline violations with a
negligible increase in energy consumption. | [
-0.05449119955301285,
-0.029270609840750694,
-0.02560718171298504,
-0.004420506302267313,
0.01697327196598053,
-0.01215926930308342,
-0.02332444116473198,
0.014027801342308521,
-0.06203896552324295,
-0.00746952835470438,
0.057841669768095016,
-0.07989587634801865,
0.0037761847488582134,
-0.0017948958557099104,
0.0189614649862051,
0.04587569832801819,
0.011653016321361065,
0.027705829590559006,
0.011459720320999622,
-0.0023931944742798805,
0.01569383405148983,
0.011606993153691292,
0.021593978628516197,
0.03858565911650658,
-0.0164394062012434,
0.03192153200507164,
0.014948260970413685,
0.02048942632973194,
-0.07142765074968338,
0.0735263004899025,
0.06494762003421783,
0.03969021141529083,
-0.045728426426649094,
-0.018031800165772438,
0.007998792454600334,
-0.0014060017419978976,
0.03013584204018116,
0.025644000619649887,
-0.037370651960372925,
0.045433878898620605,
0.006424807012081146,
-0.015123148448765278,
-0.035124730318784714,
-0.027945147827267647,
0.015132352709770203,
-0.035842690616846085,
-0.001978987827897072,
-0.0025910933036357164,
-0.019440103322267532,
0.010806193575263023,
0.0026900426018983126,
-0.01723100058734417,
0.022901030257344246,
0.01050244178622961,
-0.03527200594544411,
0.035327233374118805,
0.07901223748922348,
0.025220587849617004,
0.01012505404651165,
0.007326857186853886,
-0.004213402979075909,
-0.011993586085736752,
-0.045728426426649094,
-0.011947563849389553,
0.0047357636503875256,
-0.023692626506090164,
0.03589791804552078,
-0.024705130606889725,
-0.00526502775028348,
-0.004450421314686537,
-0.09506504982709885,
0.003941867500543594,
-0.06770899891853333,
-0.02481558546423912,
0.014994284138083458,
-0.017120545729994774,
-0.013190183788537979,
0.029307428747415543,
0.03258426487445831,
0.013981779105961323,
0.04455023631453514,
0.045507512986660004,
-0.033780861645936966,
-0.017921345308423042,
0.1192179024219513,
0.031295619904994965,
0.04683297500014305,
-0.08586045354604721,
-0.007819303311407566,
0.02150193229317665,
-0.05519074574112892,
0.04252522438764572,
-0.02960197627544403,
0.0329340398311615,
0.01746111549437046,
-0.015307240188121796,
-0.002287341747432947,
-0.026472413912415504,
-0.0480847992002964,
-0.027669010683894157,
-0.02608582004904747,
0.040684305131435394,
0.00001722265915304888,
-0.0139081422239542,
0.026196274906396866,
-0.04208340495824814,
-0.053313009440898895,
0.010484033264219761,
0.04097885265946388,
0.11936517804861069,
-0.023931944742798805,
-0.01279438566416502,
-0.0053708809427917,
-0.013438708148896694,
-0.041641585528850555,
-0.02733764424920082,
0.021391477435827255,
-0.0657576248049736,
-0.02941788360476494,
0.022864213213324547,
0.00847743172198534,
0.015224399045109749,
0.04075794294476509,
-0.01666952110826969,
-0.024926042184233665,
0.05132481828331947,
0.02052624523639679,
-0.020397381857037544,
0.04591251537203789,
0.005909349769353867,
0.02459467574954033,
0.005633211694657803,
-0.023103531450033188,
0.015141557902097702,
0.027392873540520668,
0.027300827205181122,
0.015472923405468464,
-0.03622928261756897,
-0.005780485458672047,
-0.023729443550109863,
0.05110390856862068,
-0.007313050329685211,
-0.03523518890142441,
0.051803458482027054,
0.03943248093128204,
0.046722520142793655,
0.0057620760053396225,
0.03921157121658325,
-0.01668792963027954,
0.03436995670199394,
-0.008017201907932758,
0.031221983954310417,
0.04856343939900398,
0.03274994716048241,
0.0531657375395298,
0.01279438566416502,
0.029730839654803276,
-0.018427597358822823,
0.004130561836063862,
0.008656920865178108,
0.0303935706615448,
-0.022440800443291664,
-0.04429250955581665,
0.07113310694694519,
0.04583888128399849,
0.03523518890142441,
0.01306131947785616,
-0.009802892804145813,
-0.07407857477664948,
0.06376942992210388,
-0.022459210827946663,
-0.06457943469285965,
-0.008072429336607456,
0.04072112590074539,
0.011395287699997425,
0.03670792281627655,
0.05342346429824829,
0.012582680210471153,
-0.020857611671090126,
0.03575064614415169,
-0.08534500002861023,
-0.01053005550056696,
0.020691927522420883,
0.023692626506090164,
0.05095663294196129,
0.028920834884047508,
0.032308127731084824,
-0.0164946336299181,
0.031019482761621475,
-0.030540844425559044,
-0.002125110710039735,
0.024889223277568817,
0.06656762957572937,
-0.042193859815597534,
0.0379229299724102,
-0.056332118809223175,
-0.012094836682081223,
0.01823430135846138,
0.0009147065575234592,
-0.01675236225128174,
-0.012831204570829868,
-0.011174377053976059,
-0.004887639544904232,
0.021980570629239082,
0.020894428715109825,
0.006493841297924519,
0.07253220677375793,
-0.04399796202778816,
0.04970480874180794,
-0.03398336097598076,
-0.013484730385243893,
0.00018481099687051028,
-0.01821589283645153,
0.01125721912831068,
-0.01542690023779869,
0.01929282955825329,
0.032529037445783615,
-0.027171961963176727,
-0.041162945330142975,
-0.02433694712817669,
0.027705829590559006,
0.03943248093128204,
-0.009282832965254784,
-0.01542690023779869,
-0.05876212939620018,
0.0011344662634655833,
-0.012628703378140926,
0.0017212590901181102,
-0.08733318746089935,
0.0013680328847840428,
-0.013926551677286625,
-0.025441499426960945,
0.02080238237977028,
-0.013070523738861084,
0.05511711165308952,
-0.03678156062960625,
0.001649923506192863,
0.015095534734427929,
-0.05677393823862076,
0.005849519744515419,
-0.005978384055197239,
0.015040307305753231,
-0.065831258893013,
-0.022440800443291664,
0.03976384922862053,
-0.008698341436684132,
-0.030006976798176765,
0.07323174923658371,
0.006249919533729553,
-0.02836856059730053,
-0.041936133056879044,
-0.11421060562133789,
0.0016062017530202866,
0.031792670488357544,
0.008311748504638672,
-0.005085538141429424,
0.03147971257567406,
-0.05239254981279373,
0.016531450673937798,
-0.01102710422128439,
0.019918741658329964,
0.02737446315586567,
-0.01697327196598053,
0.0022988475393503904,
-0.02376626245677471,
0.013880528509616852,
0.022496027871966362,
-0.004461926873773336,
-0.002377086551859975,
-0.027705829590559006,
-0.029436292126774788,
-0.020673519000411034,
-0.06708308309316635,
-0.03367040678858757,
-0.0151967853307724,
-0.016006790101528168,
-0.019697831943631172,
-0.0006506497738882899,
0.012324951589107513,
0.008785785175859928,
-0.01204881351441145,
0.0012081030290573835,
0.0556325688958168,
-0.01951373927295208,
-0.015795083716511726,
-0.04153113067150116,
0.00018783124687615782,
-0.03343108668923378,
-0.07301083952188492,
-0.050477996468544006,
-0.00860169343650341,
0.013595186173915863,
0.0202316977083683,
-0.0006385687156580389,
0.05290800705552101,
0.014101438224315643,
-0.01851043850183487,
-0.002379387617111206,
0.03597155585885048,
0.004107550252228975,
-0.03718655928969383,
0.003865929553285241,
0.053828466683626175,
0.06354852020740509,
0.0016453212592750788,
0.009052718058228493,
-0.012509043328464031,
-0.010925853624939919,
0.027908330783247948,
-0.025478316470980644,
0.01064051128923893,
0.015647809952497482,
-0.0031203574035316706,
-0.06270169466733932,
-0.0328788124024868,
0.04963117092847824,
0.007929758168756962,
0.02179647982120514,
-0.007690438535064459,
-0.008532659150660038,
0.03341267630457878,
0.013355866074562073,
-0.0506252683699131,
0.0033205572981387377,
0.035345643758773804,
-0.008127656765282154,
0.02076556533575058,
0.00834856741130352,
-0.03260267153382301,
-0.001916856737807393,
-0.012785181403160095,
-0.02989652194082737,
-0.04410841688513756,
-0.014405190013349056,
0.003513853996992111,
0.08534500002861023,
-0.03621087223291397,
0.022164663299918175,
-0.011818699538707733,
-0.02682218700647354,
-0.033062901347875595,
-0.004466529469937086,
-0.05898303911089897,
-0.029325837269425392,
0.0021262613590806723,
-0.0189614649862051,
-0.01847362145781517,
0.06034532189369202,
-0.0379597470164299,
0.04079476371407509,
0.0009940961608663201,
-0.036855194717645645,
0.00824731681495905,
-0.006903445813804865,
0.028239695355296135,
-0.011809494346380234,
-0.033265404403209686,
0.05883576720952988,
-0.05673712119460106,
-0.004183487966656685,
0.024484220892190933,
-0.022735347971320152,
-0.04145749285817146,
-0.016043607145547867,
-0.02560718171298504,
0.04451341927051544,
-0.00032733837724663317,
-0.053055282682180405,
0.03851202130317688,
0.0072808340191841125,
0.017847707495093346,
0.0557798407971859,
0.05036754161119461,
-0.034296318888664246,
-0.03168221190571785,
-0.015758264809846878,
0.002196446293964982,
-0.03998475894331932,
-0.11111786216497421,
0.05471210926771164,
-0.02181488834321499,
0.0031134539749473333,
-0.019329648464918137,
-0.0215387511998415,
-0.016651110723614693,
0.05743666738271713,
0.0330076739192009,
-0.09138321131467819,
0.010226304642856121,
0.08571318536996841,
0.005739064421504736,
-0.04182567819952965,
-0.059167131781578064,
-0.05614802613854408,
0.01353995781391859,
-0.059682589024305344,
0.012886431999504566,
-0.01748872920870781,
-0.0012000489514321089,
-0.05401255935430527,
-0.04175204038619995,
0.04837934672832489,
0.05184027552604675,
0.08497681468725204,
-0.021888526156544685,
0.011091535910964012,
0.027208780869841576,
-0.09484414011240005,
-0.01673395186662674,
0.01826191507279873,
0.033559951931238174,
-0.05496983602643013,
-0.007874530740082264,
-0.03464609384536743,
0.009384083561599255,
0.040647488087415695,
-0.032031986862421036,
-0.0253310427069664,
-0.04889480397105217,
-0.03957975655794144,
0.0005643566837534308,
0.04377705231308937,
0.042157042771577835,
0.03972702845931053,
0.02098647505044937,
0.031534940004348755,
0.01596997119486332,
-0.024244900792837143,
-0.0033297620248049498,
-0.020066015422344208,
0.01877737231552601,
0.01038278266787529,
0.03753633424639702,
-0.03321017697453499,
-0.007299243472516537,
0.01845521107316017,
0.0355113260447979,
0.08718591928482056,
-0.031074710190296173,
-0.043887507170438766,
0.0506989061832428,
-0.024428993463516235,
-0.07717131823301315,
-0.025938546285033226,
-0.000473748950753361,
-0.04554433375597,
0.016347359865903854,
-0.01851964369416237,
0.02457626722753048,
0.017636002972722054,
-0.031074710190296173,
0.020158061757683754,
-0.07374721020460129,
0.00012282381067052484,
0.030688118189573288,
-0.028718333691358566,
0.013429502956569195,
-0.040573850274086,
-0.010686534456908703,
-0.00976607482880354,
0.02255125530064106,
0.052576642483472824,
0.021906934678554535,
-0.018528848886489868,
0.025404680520296097,
-0.012858818285167217,
-0.07470449060201645,
-0.01849202997982502,
-0.014718146063387394,
0.0046828375197947025,
0.01696406677365303,
-0.06207578256726265,
0.02174125239253044,
0.015610991977155209,
-0.016844406723976135,
0.044697508215904236,
-0.021667614579200745,
-0.06303305923938751,
-0.02555195428431034,
0.02233034558594227,
0.04024248570203781,
0.006328158546239138,
0.03090902790427208,
-0.04035294055938721,
0.023490125313401222,
-0.017912140116095543,
0.025754455476999283,
-0.005057924427092075,
-0.03517995774745941,
-0.02939947508275509,
0.02558877132833004,
-0.04072112590074539,
-0.01416587084531784,
-0.034572456032037735,
-0.015086330473423004,
-0.05114072561264038,
-0.008776580914855003,
-0.006424807012081146,
0.038917023688554764,
0.007883735001087189,
0.0005594667745754123,
-0.041678402572870255,
0.019200783222913742,
0.020121242851018906,
-0.016071220859885216,
-0.0015302638057619333,
0.05846758186817169,
0.03744428977370262,
-0.0019226096337661147,
-0.04410841688513756,
0.04576524347066879,
0.0253494530916214,
-0.00639719283208251,
-0.013558367267251015,
0.024447401985526085,
0.015574174001812935,
0.05519074574112892,
-0.023711035028100014,
0.015767470002174377,
0.08563954383134842,
0.014782578684389591,
-0.007423505187034607,
0.0202501080930233,
-0.04027930647134781,
-0.002159627852961421,
0.03462768346071243,
0.01493905670940876,
-0.02199898101389408,
0.05139845609664917,
-0.0011143311858177185,
-0.06914491206407547,
0.03716815263032913,
-0.05773121491074562,
-0.02306671254336834,
-0.01819748245179653,
0.021612387150526047,
-0.007359073031693697,
0.009453118778765202,
0.009802892804145813,
-0.004264028277248144,
-0.037352245301008224,
0.046501610428094864,
-0.00847282912582159,
0.015601787716150284,
-0.02507331408560276,
0.026711732149124146,
0.03090902790427208,
-0.01644860953092575,
-0.033780861645936966,
0.013503139838576317,
-0.0022769866045564413,
-0.02131783962249756,
0.014202688820660114,
-0.024134445935487747,
-0.04502887651324272,
-0.013622799888253212,
-0.002352924318984151,
-0.005338664632290602,
-0.04230431467294693,
-0.014911442995071411,
0.013898937031626701,
0.0006351170013658702,
0.01141369715332985,
0.012039609253406525,
0.02098647505044937,
-0.040905218571424484,
-0.005614802706986666,
0.0505884513258934,
-0.0023701831232756376,
-0.0002593106764834374,
-0.009563573636114597,
-0.038364749401807785,
-0.012591885402798653,
-0.027797874063253403,
0.03821747750043869,
0.013125751167535782,
0.01254586223512888,
0.020710337907075882,
-0.01699168048799038,
0.029289018362760544,
-0.04223068058490753,
0.015574174001812935,
0.004588490352034569,
0.04451341927051544,
0.018105436116456985,
-0.03825429454445839,
0.007741063833236694,
0.023968763649463654,
-0.02685900591313839,
-0.01315336488187313,
-0.023913536220788956,
-0.013714845292270184,
-0.06266488134860992,
0.007971178740262985,
-0.0069632758386433125,
-0.0014589282218366861,
0.01293245516717434,
-0.005766678135842085,
0.0253494530916214,
-0.04436614364385605,
-0.00048122770385816693,
0.0405370332300663,
-0.009591187350451946,
0.032547444105148315,
0.007616801653057337,
0.028755152598023415,
0.02131783962249756,
0.0556693859398365,
-0.0031893919222056866,
-0.008587886579334736,
0.03674473986029625,
0.041162945330142975,
0.026141047477722168,
-0.03219766914844513,
0.008394589647650719,
0.03847520425915718,
-0.006093441508710384,
0.01128483284264803,
-0.011809494346380234,
-0.008270327933132648,
0.016089631244540215,
-0.003304449375718832,
0.009839711710810661,
0.009015900082886219,
-0.013705641031265259,
0.03262108191847801,
-0.0002841918612830341,
-0.026711732149124146,
-0.024428993463516235,
-0.021409885957837105,
0.03510632365942001,
-0.014662918634712696,
0.004344568587839603,
-0.034774959087371826,
0.027761057019233704,
-0.026546049863100052,
0.009701642207801342,
0.01975305937230587,
-0.028239695355296135,
0.01794895902276039,
-0.025644000619649887,
0.0040408167988061905,
-0.013024500571191311,
0.0632907897233963,
-0.003138766624033451,
-0.016872022300958633,
-0.014718146063387394,
0.051030270755290985,
0.00024075766850728542,
0.014202688820660114,
0.028718333691358566,
0.013733254745602608,
0.05040435865521431,
0.037646789103746414,
-0.009338061325252056,
-0.027006279677152634,
0.017120545729994774,
0.0044182054698467255,
-0.024244900792837143,
0.025404680520296097,
0.034590866416692734,
-0.0031295621301978827,
-0.029841294512152672,
-0.012711544521152973,
0.006443215999752283,
0.00960959680378437,
0.06181805580854416,
0.0014152063522487879,
-0.01241699792444706,
0.04841616749763489,
-0.0018788877641782165,
0.014009392820298672,
-0.0019030498806387186,
0.05136163532733917,
-0.013236206956207752,
0.007570778951048851,
0.003642718307673931,
0.04153113067150116,
-0.0009405944729223847,
-0.01696406677365303,
-0.0075845858082175255,
-0.022680120542645454,
-0.008951468393206596,
-0.0303935706615448,
-0.039911121129989624,
-0.028184467926621437,
0.005131561309099197,
0.05644257366657257,
0.000009204593879985623,
0.03523518890142441,
-0.03133244067430496,
-0.002577286446467042,
0.040905218571424484,
-0.01822509616613388,
0.03854884207248688,
0.04738525301218033,
0.0005557273980230093,
-0.010106644593179226,
0.03519836813211441,
-0.018142255023121834,
-0.02507331408560276,
-0.02660127729177475,
-0.006217703688889742,
0.022367164492607117,
-0.011965972371399403,
-0.02174125239253044,
-0.0020526244770735502,
0.016374973580241203,
-0.03720496967434883,
0.0202501080930233,
0.017396682873368263,
-0.0011908443411812186,
-0.027540145441889763,
0.025238998234272003,
0.012002791278064251,
0.008132259361445904,
0.010299940593540668,
0.029988568276166916,
0.014570873230695724,
-0.022974668070673943,
0.013889732770621777,
-0.011045512743294239,
-0.0035851895809173584,
-0.04035294055938721,
-0.007414300926029682,
-0.018381575122475624,
0.05235573276877403,
0.02048942632973194,
-0.03818065673112869,
-0.007101344410330057,
0.01666952110826969,
0.024134445935487747,
-0.057105302810668945,
0.013438708148896694,
-0.0030513231176882982,
0.02586491033434868,
0.031755849719047546,
0.004158175550401211,
-0.010309145785868168,
0.052282094955444336,
0.03821747750043869,
-0.01416587084531784,
0.048968441784381866,
-0.01827112026512623,
0.0019444705685600638,
-0.028957653790712357,
-0.041641585528850555,
0.010364373214542866,
-0.007428107783198357,
-0.005375483073294163,
0.029196973890066147,
-0.00202846247702837,
0.031811077147722244,
-0.023471714928746223,
0.009029706940054893,
0.03210562467575073,
0.01053005550056696,
0.019071919843554497,
0.02326921373605728,
0.013107342645525932,
0.0265644583851099,
0.0608239583671093,
0.018611690029501915,
0.0067975930869579315,
0.05743666738271713,
-0.03626610338687897,
-0.01921919360756874,
0.027411282062530518,
0.055558931082487106,
0.009057320654392242,
0.02481558546423912,
-0.007920552976429462,
0.03464609384536743,
-0.07474130392074585,
-0.016384178772568703,
0.012334156781435013,
0.022385573014616966,
-0.02279057539999485,
-0.004731161519885063,
-0.012343361042439938,
-0.06060304865241051,
0.030559252947568893,
-0.0214835237711668,
0.04664888232946396,
-0.03703928738832474,
0.033283814787864685,
-0.005840315017849207,
-0.03037516213953495,
0.007101344410330057,
0.029951749369502068,
-0.007432709913700819,
-0.01163460686802864,
-0.026435595005750656,
-0.0065214550122618675,
0.015279626473784447,
-0.03221607953310013,
-0.0431143194437027,
0.040095213800668716,
-0.02483399584889412,
-0.04200976714491844,
0.03972702845931053,
0.02382148988544941,
-0.008827205747365952,
0.013503139838576317,
-0.044402964413166046,
0.02485240437090397,
0.022367164492607117,
-0.006581285037100315,
-0.00131625693757087,
0.017369069159030914,
0.003628911217674613,
0.015436104498803616,
-0.0065122502855956554,
0.031571757048368454,
0.01458007749170065,
-0.009015900082886219,
-0.014202688820660114,
0.052098002284765244,
-0.02503649704158306,
-0.04326159507036209,
0.02707991562783718,
0.006921854801476002,
-0.006162475794553757,
0.007027707993984222,
-0.04992571845650673,
0.003769281320273876,
0.008357771672308445,
-0.0029937943909317255,
0.020176470279693604,
0.015601787716150284,
0.03821747750043869,
0.027908330783247948,
-0.02072874642908573,
-0.017553161829710007,
-0.01743350178003311,
0.01897987350821495,
0.002206801436841488,
0.01725861430168152,
-0.034093815833330154,
0.03672633320093155,
0.01675236225128174,
0.0012104042107239366,
-0.037389062345027924,
0.018151460215449333,
-0.04536024108529091,
0.008261123672127724,
-0.018123846501111984,
0.013098137453198433,
0.011616198346018791,
-0.016098834574222565,
-0.0026900426018983126,
-0.01745191030204296,
0.05250300467014313,
0.012840408831834793,
-0.006829808931797743,
-0.012223700992763042,
0.013273024931550026,
0.030559252947568893,
0.014386780560016632,
-0.015049511566758156,
0.0006195842288434505,
0.013217797502875328,
0.012527452781796455,
-0.025238998234272003,
0.043040681630373,
-0.018851008266210556,
-0.01293245516717434,
-0.03724179044365883,
0.009075730107724667,
-0.040389761328697205,
0.002388592343777418,
0.024981269612908363,
-0.008486635982990265,
0.05596393346786499,
-0.03954293578863144,
-0.016034403815865517,
-0.022735347971320152,
0.002141218865290284,
0.01597917638719082,
-0.013493935577571392,
-0.009977780282497406,
-0.003396495245397091,
0.03829111158847809,
-0.006792990490794182,
0.02199898101389408,
-0.012205292470753193,
0.001048748497851193,
-0.02833174169063568,
0.01798577792942524,
-0.03133244067430496,
-0.035327233374118805,
0.023453306406736374,
-0.01897987350821495,
-0.009977780282497406,
0.03389131650328636,
-0.014570873230695724,
0.005186788737773895,
-0.002480638213455677,
-0.026546049863100052,
0.036302920430898666,
0.011699039489030838,
-0.010005393996834755,
-0.02229352667927742,
-0.017820093780755997,
0.06200214847922325,
-0.015123148448765278,
-0.027429690584540367,
-0.019329648464918137,
0.011054717935621738,
-0.004116754978895187,
0.026674915105104446,
-0.011588584631681442,
0.02757696434855461,
-0.010161872021853924,
0.04094203561544418,
0.01481019239872694,
0.00056148023577407,
-0.02632514014840126,
0.004123658407479525,
0.017065318301320076,
0.021686024963855743,
-0.026766959577798843,
-0.023232396692037582,
0.014957466162741184,
-0.008845615200698376,
-0.006176282651722431,
0.01748872920870781,
0.00023744977079331875,
0.007133560720831156,
-0.018869418650865555,
0.008827205747365952,
0.020066015422344208,
0.04738525301218033,
-0.0029477712232619524,
-0.01692724972963333,
-0.006042816210538149,
-0.026674915105104446,
-0.03626610338687897,
-0.05850440263748169,
-0.022091025486588478,
-0.02174125239253044,
0.053276192396879196,
-0.02376626245677471,
0.004599995911121368,
0.027392873540520668,
-0.009025104343891144,
0.04609660804271698,
-0.007589187938719988,
-0.021391477435827255,
0.038622476160526276,
0.00607963465154171,
-0.00017618168203625828,
0.022956257686018944,
-0.05220846086740494,
0.008583283983170986,
0.007110549136996269,
-0.011524152010679245,
-0.06303305923938751,
-0.012886431999504566,
0.08954229205846786,
-0.009126354940235615,
0.0017902936087921262,
-0.024410584941506386,
-0.005808099173009396,
-0.039874304085969925,
0.03672633320093155,
-0.047017067670822144,
-0.009296639822423458,
-0.03917475417256355,
0.03112993761897087,
0.001929513062350452,
-0.03448041155934334,
0.0044182054698467255,
-0.008192089386284351,
-0.011330856010317802,
0.011588584631681442,
0.0012978478334844112,
-0.034554045647382736,
-0.059351224452257156,
0.00487843481823802,
-0.001991644036024809,
0.013724050484597683,
0.028920834884047508,
-0.03188471496105194,
-0.0026394175365567207,
0.015233603306114674,
0.0215387511998415,
-0.008822604082524776,
0.03488541394472122,
0.01532564964145422,
-0.06023486703634262,
-0.017378274351358414,
-0.002970782807096839,
-0.025956956669688225,
-0.003207801142707467,
-0.011330856010317802,
0.036579057574272156,
-0.03274994716048241,
-0.0030168057419359684,
-0.0015256615588441491,
-0.019182374700903893,
0.031498122960329056,
-0.002835015067830682,
0.05640575289726257,
0.01292324997484684,
0.0037048491649329662,
0.03241858258843422,
0.019881924614310265,
0.014331553131341934,
0.0455811507999897,
-0.02383989840745926,
-0.010069826617836952,
0.022183071821928024,
0.0126655213534832,
-0.008689137175679207,
0.044476598501205444,
0.010649715550243855,
0.006719354074448347,
-0.013585980981588364,
-0.0531657375395298,
0.006180885247886181,
0.0022355658002197742,
0.0007852669805288315,
-0.0004133438051212579
] |
Artificial intelligence (AI) governance is the body of standards and
practices used to ensure that AI systems are deployed responsibly. Current AI
governance approaches consist mainly of manual review and documentation
processes. While such reviews are necessary for many systems, they are not
sufficient to systematically address all potential harms, as they do not
operationalize governance requirements for system engineering, behavior, and
outcomes in a way that facilitates rigorous and reproducible evaluation. Modern
AI systems are data-centric: they act on data, produce data, and are built
through data engineering. The assurance of governance requirements must also be
carried out in terms of data. This work explores the systematization of
governance requirements via datasets and algorithmic evaluations. When applied
throughout the product lifecycle, data-centric governance decreases time to
deployment, increases solution quality, decreases deployment risks, and places
the system in a continuous state of assured compliance with governance
requirements. | [
-0.0413830392062664,
0.032204627990722656,
-0.03131352365016937,
-0.0010799110168591142,
0.026697583496570587,
0.027624337002635002,
-0.03992162272334099,
0.018677616491913795,
-0.02425595000386238,
-0.0426662340760231,
0.047585148364305496,
-0.03885229304432869,
0.026911450549960136,
0.02099449560046196,
-0.05086442455649376,
-0.02144004963338375,
0.0151488296687603,
-0.01416861079633236,
0.019337035715579987,
-0.05603284761309624,
0.04206027835607529,
0.025699544697999954,
-0.010880423709750175,
0.024273771792650223,
0.004339694045484066,
0.01732313260436058,
0.014765653759241104,
0.03191947564482689,
-0.06437361240386963,
0.03117094375193119,
0.02393515035510063,
0.010114071890711784,
0.010951712727546692,
-0.036963142454624176,
-0.02694709412753582,
-0.03623243421316147,
0.0153092285618186,
0.03710572049021721,
-0.012208173982799053,
-0.0006299017113633454,
0.010924979113042355,
0.048333678394556046,
-0.0009991544065997005,
0.05311001464724541,
-0.036321546882390976,
-0.0045090047642588615,
-0.02466585859656334,
-0.034147243946790695,
-0.015006252564489841,
0.024523282423615456,
-0.002880505286157131,
-0.028551088646054268,
0.021618271246552467,
-0.01958654634654522,
-0.02728571556508541,
-0.015175563283264637,
0.07877391576766968,
-0.01120122242718935,
0.07977195084095001,
-0.031331345438957214,
0.026234207674860954,
0.03528786078095436,
0.009124942123889923,
-0.0038651793729513884,
-0.026555007323622704,
-0.026483718305826187,
-0.031652141362428665,
0.05720910802483559,
-0.027517402544617653,
0.02414901740849018,
0.0011896287323907018,
-0.03952953591942787,
-0.027000561356544495,
0.00881305430084467,
0.004696137271821499,
-0.017715219408273697,
-0.0012531201355159283,
-0.013001260347664356,
0.0289075318723917,
0.016271624714136124,
0.009926939383149147,
0.00881305430084467,
-0.017029067501425743,
0.03612550348043442,
0.05335952341556549,
0.04434151574969292,
0.048761408776044846,
-0.06241317838430405,
0.011709154583513737,
-0.05539124831557274,
-0.06943510472774506,
0.027659980580210686,
0.046800971031188965,
-0.06341122090816498,
0.00887543149292469,
-0.06376766413450241,
-0.006121909245848656,
-0.018205327913165092,
-0.04469795897603035,
-0.03232938423752785,
-0.0118428198620677,
-0.009102663956582546,
0.06344686448574066,
-0.00028042044141329825,
-0.016360735520720482,
-0.07592236995697021,
-0.08240963518619537,
-0.013500280678272247,
0.01292997132986784,
0.15455371141433716,
-0.026786694303154945,
0.020317254588007927,
-0.031028367578983307,
-0.007970958016812801,
-0.08839787542819977,
-0.025949053466320038,
-0.05831408128142357,
-0.05485658347606659,
-0.0037248297594487667,
-0.022758888080716133,
-0.04697919264435768,
0.02716096118092537,
0.013731968589127064,
-0.0081090796738863,
-0.0075476816855371,
0.053216949105262756,
-0.009508118033409119,
-0.07068265974521637,
0.03938695788383484,
0.019996454939246178,
-0.014026033692061901,
0.03895922377705574,
0.00633577536791563,
0.02748175896704197,
-0.030689746141433716,
0.0058412104845047,
-0.03562648221850395,
0.029941216111183167,
0.03756909817457199,
-0.02133311703801155,
-0.03407595679163933,
-0.03671363368630409,
-0.01049724780023098,
0.02446981519460678,
0.008002146147191525,
0.02195689268410206,
-0.0027490670327097178,
0.06287655234336853,
-0.02771344780921936,
0.03248978406190872,
-0.04819110035896301,
0.025949053466320038,
0.007445204071700573,
-0.04986638203263283,
0.053644679486751556,
-0.00936554092913866,
0.002225541276857257,
0.0030275380704551935,
-0.009133853018283844,
0.018552860245108604,
0.038816649466753006,
-0.031776897609233856,
-0.00941009633243084,
0.09930503368377686,
0.05271792784333229,
-0.000822603702545166,
0.0034931418485939503,
0.013304237276315689,
-0.04284445568919182,
0.052111972123384476,
-0.010122982785105705,
0.011129934340715408,
-0.012297284789383411,
-0.027535226196050644,
0.03461062163114548,
0.00925860833376646,
0.055462539196014404,
0.04430587217211723,
0.007382826879620552,
0.03248978406190872,
-0.03375515714287758,
-0.0011027456494048238,
0.03571559488773346,
0.009730895049870014,
0.009374451823532581,
0.027018383145332336,
0.041703835129737854,
0.013936922885477543,
0.0030297660268843174,
0.010622003115713596,
-0.008367500267922878,
-0.01108537893742323,
0.08483344316482544,
-0.0361611470580101,
-0.00979327317327261,
-0.013544836081564426,
-0.024933191016316414,
-0.057529907673597336,
-0.028212467208504677,
-0.037925541400909424,
-0.007222427055239677,
-0.021992536261677742,
0.022438090294599533,
0.06298348307609558,
0.02033507637679577,
0.02641242928802967,
-0.005186246242374182,
-0.06925688683986664,
-0.05863488093018532,
-0.022046003490686417,
-0.021350938826799393,
0.00467831501737237,
0.015959737822413445,
-0.00755213713273406,
-0.0005875740898773074,
0.004324099514633417,
-0.017180554568767548,
0.004286227747797966,
-0.031135300174355507,
-0.02530745603144169,
0.0014525054721161723,
-0.01385672390460968,
-0.01211906410753727,
0.0015961965546011925,
-0.01174479816108942,
-0.07278566807508469,
0.004914458375424147,
-0.029816461727023125,
-0.04851190000772476,
-0.00828284490853548,
-0.042701877653598785,
0.02509359084069729,
0.04926043003797531,
0.02607380971312523,
0.022545022889971733,
-0.014471587724983692,
0.02921050786972046,
-0.016316181048750877,
-0.06836577504873276,
0.013553746975958347,
-0.033594757318496704,
-0.0058991326950490475,
-0.027125315740704536,
-0.0342363566160202,
0.069328173995018,
0.02651936374604702,
-0.015353783965110779,
0.06070225313305855,
0.029157040640711784,
0.05154166370630264,
-0.008541266433894634,
0.030279837548732758,
0.0023480686359107494,
-0.012243818491697311,
0.035448260605335236,
0.032739292830228806,
0.07378371059894562,
0.014284455217421055,
-0.0032258096616715193,
-0.012110152281820774,
0.048012878745794296,
0.015077540650963783,
0.0031656597275286913,
0.026145096868276596,
-0.07121732085943222,
-0.017403332516551018,
0.03635719045996666,
0.026822339743375778,
0.014043856412172318,
-0.0026443619281053543,
-0.0067144958302378654,
0.049830738455057144,
-0.024416347965598106,
-0.014730009250342846,
-0.047585148364305496,
-0.027428291738033295,
0.011450733058154583,
0.00876849889755249,
0.029638240113854408,
0.014917141757905483,
-0.010648735798895359,
-0.029780816286802292,
0.023008398711681366,
-0.0019426146754994988,
-0.04163254797458649,
-0.08953849226236343,
-0.029263975098729134,
-0.003981023095548153,
-0.05400112271308899,
-0.013099282048642635,
0.007921947166323662,
-0.012609172612428665,
-0.0045892042107880116,
-0.043985072523355484,
0.01336661446839571,
-0.006340230815112591,
0.041276104748249054,
0.001533819013275206,
0.027446115389466286,
-0.04537520185112953,
-0.01776868663728237,
0.010720024816691875,
-0.01292997132986784,
0.029531307518482208,
0.031972941011190414,
0.0289075318723917,
-0.009124942123889923,
0.05008024722337723,
0.0012531201355159283,
0.002769117010757327,
-0.010301204398274422,
0.01580824889242649,
-0.04038499668240547,
-0.026216385886073112,
0.020317254588007927,
0.044876180589199066,
-0.028747132048010826,
-0.008389778435230255,
0.028408510610461235,
-0.019176635891199112,
0.028390688821673393,
-0.00587239908054471,
-0.08191061019897461,
0.043022677302360535,
-0.053288236260414124,
-0.012065596878528595,
0.007650158833712339,
-0.0022478189785033464,
-0.06237753480672836,
-0.05118522047996521,
-0.05332387983798981,
-0.0010030530393123627,
0.03628590330481529,
0.0350918173789978,
0.03917309269309044,
-0.02423812821507454,
-0.012092330493032932,
0.013785434886813164,
0.002186555415391922,
-0.015318140387535095,
0.010577447712421417,
-0.00011695787543430924,
-0.054714009165763855,
-0.05720910802483559,
-0.013224037364125252,
-0.059240832924842834,
-0.012377484701573849,
-0.0007123291725292802,
-0.01700233295559883,
-0.01937267929315567,
0.0011239094892516732,
-0.04893963038921356,
-0.04498311132192612,
-0.0236856397241354,
0.03355911374092102,
0.024380704388022423,
-0.00925860833376646,
-0.01233292929828167,
-0.005092679988592863,
0.01784888654947281,
0.07741943001747131,
-0.053288236260414124,
-0.006558551918715239,
-0.0005296521121636033,
-0.03888793662190437,
-0.008073435164988041,
-0.019319213926792145,
-0.03626808151602745,
0.01915881410241127,
-0.006554096471518278,
0.004339694045484066,
0.05043669044971466,
0.04184641316533089,
0.023739106953144073,
-0.003281503915786743,
0.0007730358629487455,
-0.009820005856454372,
-0.02869366481900215,
-0.023739106953144073,
0.04184641316533089,
0.06280526518821716,
-0.0009540420724079013,
-0.005337734706699848,
0.06526472419500351,
-0.037177011370658875,
-0.015736959874629974,
0.06818755716085434,
0.020192498341202736,
0.085760198533535,
0.06451619416475296,
-0.016048848628997803,
0.019622189924120903,
-0.020263787358999252,
-0.07920164614915848,
0.019764767959713936,
-0.010158627294003963,
0.020816273987293243,
-0.03332742676138878,
0.022242046892642975,
-0.045624710619449615,
0.05389418825507164,
-0.023543063551187515,
0.01163786556571722,
0.005939232185482979,
-0.017911262810230255,
-0.01903405971825123,
0.017287487164139748,
0.020156854763627052,
-0.0003996060695499182,
-0.017136000096797943,
-0.007182327564805746,
0.03756909817457199,
-0.011352711357176304,
0.02888970822095871,
-0.0064516193233430386,
-0.0006911653326824307,
-0.015469628386199474,
0.021511338651180267,
0.017447886988520622,
0.016057759523391724,
-0.03888793662190437,
0.04762079194188118,
0.012537884525954723,
-0.03938695788383484,
0.013232948258519173,
-0.02413119375705719,
-0.022117290645837784,
-0.00416370015591383,
-0.019836055114865303,
-0.040206775069236755,
0.03407595679163933,
-0.031135300174355507,
0.02477279119193554,
-0.012217085808515549,
-0.09167715162038803,
0.004288455471396446,
0.02705402672290802,
-0.002954021794721484,
-0.014917141757905483,
0.02217075787484646,
-0.06191415712237358,
0.017822152003645897,
0.027570869773626328,
0.02498665824532509,
-0.06373202055692673,
-0.05863488093018532,
0.006843706592917442,
-0.001983828376978636,
-0.032970983535051346,
-0.02372128516435623,
-0.03325613588094711,
0.022687600925564766,
-0.04327218607068062,
-0.05521302670240402,
-0.0029183775186538696,
-0.006879350636154413,
0.054927874356508255,
-0.07139554619789124,
0.030689746141433716,
-0.052005041390657425,
-0.009695250540971756,
0.06505085527896881,
0.01001604925841093,
0.015968648716807365,
0.08518988639116287,
0.03211551904678345,
-0.02782038040459156,
-0.06722515821456909,
-0.0005703088827431202,
0.0324363186955452,
0.005008024629205465,
0.03288187086582184,
0.08048483729362488,
0.03106401115655899,
-0.02782038040459156,
-0.016957778483629227,
0.006848162040114403,
0.001350028091110289,
-0.03692749887704849,
-0.027232248336076736,
0.07820360362529755,
0.05959727615118027,
-0.0057253665290772915,
-0.029709527269005775,
-0.025129234418272972,
-0.013625035993754864,
0.06918559223413467,
-0.01113884523510933,
-0.009031375870108604,
-0.0913207083940506,
-0.025253990665078163,
0.0074140154756605625,
0.021404404193162918,
-0.04241672158241272,
-0.005106046795845032,
-0.03387991338968277,
-0.015621116384863853,
0.027143137529492378,
0.03313137963414192,
-0.0000448338505520951,
-0.03418288752436638,
-0.04163254797458649,
-0.0153092285618186,
-0.01471218653023243,
-0.01860632747411728,
0.004883269779384136,
0.024701504036784172,
0.015469628386199474,
0.011994308792054653,
0.052967436611652374,
-0.037497807294130325,
-0.02044200897216797,
-0.01571022719144821,
0.01581715978682041,
-0.004887725226581097,
0.027891669422388077,
0.0355195514857769,
-0.019746944308280945,
0.03409377858042717,
0.00026273750700056553,
-0.01559438370168209,
0.023079687729477882,
0.020816273987293243,
-0.010853691026568413,
-0.05414370074868202,
-0.016039937734603882,
0.022758888080716133,
-0.0071867830120027065,
-0.00915167573839426,
0.03138481080532074,
-0.01158439926803112,
-0.038781002163887024,
-0.04141868278384209,
-0.002573073375970125,
0.014480498619377613,
-0.0006087378715164959,
-0.0018735537305474281,
-0.013206214644014835,
-0.021030139178037643,
0.022865822538733482,
-0.032097697257995605,
0.0018234290182590485,
0.009285341016948223,
0.01218144129961729,
-0.018044929951429367,
-0.02824811078608036,
0.0463019534945488,
-0.005034758243709803,
-0.036410655826330185,
0.011896287091076374,
0.04384249448776245,
-0.023525241762399673,
-0.03418288752436638,
0.01571022719144821,
0.015603294596076012,
0.004275088664144278,
0.0008899937383830547,
0.005859032738953829,
-0.021885603666305542,
-0.002706739353016019,
0.018356816843152046,
-0.0008292870479635894,
-0.019729122519493103,
0.029192686080932617,
0.005239713005721569,
0.021083606407046318,
0.035662125796079636,
0.06494392454624176,
-0.009775450453162193,
-0.009454651735723019,
-0.026857983320951462,
-0.0116824209690094,
-0.014783475548028946,
0.008042246103286743,
0.036749277263879776,
0.038781002163887024,
-0.03281058371067047,
-0.024505458772182465,
-0.0603814534842968,
0.019622189924120903,
-0.020049922168254852,
0.020834095776081085,
0.004511232487857342,
0.02651936374604702,
0.039672110229730606,
0.026376785710453987,
-0.02684016153216362,
-0.01223490759730339,
-0.0009390046470798552,
-0.032204627990722656,
0.012555706314742565,
0.01753699779510498,
-0.01579933799803257,
-0.008073435164988041,
-0.03193729743361473,
-0.003673591185361147,
-0.0003191279247403145,
0.039030514657497406,
0.02393515035510063,
-0.011005179025232792,
0.05090006813406944,
0.01892712526023388,
0.05856359377503395,
0.034468043595552444,
-0.020602408796548843,
0.034147243946790695,
-0.0014346832176670432,
-0.006834795698523521,
0.007164505310356617,
-0.016636978834867477,
-0.029709527269005775,
-0.02662629634141922,
0.03535915166139603,
-0.022331157699227333,
0.02099449560046196,
-0.018748903647065163,
0.04088401794433594,
-0.004860992077738047,
-0.036428481340408325,
-0.014872586354613304,
0.003744879737496376,
0.007962046191096306,
0.04590986296534538,
0.00581893278285861,
0.019105346873402596,
-0.017029067501425743,
-0.0017276349244639277,
-0.0152557622641325,
0.011174489744007587,
0.04769207909703255,
-0.006246664561331272,
-0.004272860940545797,
-0.009873472154140472,
0.010532892309129238,
0.02045983076095581,
-0.02035289816558361,
0.017786508426070213,
0.054820939898490906,
0.028515443205833435,
-0.04893963038921356,
-0.03304227069020271,
0.021030139178037643,
-0.021903425455093384,
0.10336848348379135,
0.01622707024216652,
0.048761408776044846,
-0.004803069867193699,
-0.007021928206086159,
0.016209248453378677,
0.012012130580842495,
0.030564991757273674,
0.04131174832582474,
-0.011477465741336346,
0.04284445568919182,
0.016592424362897873,
-0.020281609147787094,
0.03938695788383484,
0.02033507637679577,
0.02078063040971756,
0.026644118130207062,
-0.0060060652904212475,
0.020406365394592285,
0.021047962829470634,
0.028052067384123802,
0.02726789377629757,
0.00403448985889554,
0.049189139157533646,
-0.023739106953144073,
0.017706308513879776,
0.05756555125117302,
0.0038005739916116,
-0.04305832087993622,
0.001844592741690576,
0.023543063551187515,
-0.0031545208767056465,
0.003911962267011404,
-0.00980218406766653,
0.008804143406450748,
-0.028711488470435143,
-0.008639288134872913,
-0.01677064597606659,
-0.01828552782535553,
-0.0037471074610948563,
0.02585994265973568,
-0.07385499775409698,
-0.00979327317327261,
-0.02974517270922661,
0.02986992709338665,
0.053216949105262756,
-0.043985072523355484,
-0.03731958568096161,
-0.0064248861744999886,
0.0052798124961555,
-0.0006326864240691066,
0.009517029859125614,
-0.0007134430343285203,
-0.035662125796079636,
-0.00643825251609087,
0.009730895049870014,
-0.036642346531152725,
-0.012662638910114765,
-0.015487450174987316,
-0.02274106629192829,
0.007458570878952742,
-0.015469628386199474,
0.05040104687213898,
0.0030119437724351883,
0.00408350070938468,
-0.034788843244314194,
-0.021244006231427193,
-0.011361622251570225,
0.025521323084831238,
0.00413919473066926,
0.059240832924842834,
0.030155081301927567,
0.08034226298332214,
-0.01282303873449564,
-0.057850707322359085,
-0.003248087363317609,
-0.011887375265359879,
-0.005720911081880331,
-0.008523444645106792,
-0.013152748346328735,
-0.0233648419380188,
-0.0320085845887661,
-0.021475693210959435,
-0.026020342484116554,
-0.010417047888040543,
-0.039565179497003555,
0.0008265023352578282,
0.009525940753519535,
-0.02628767490386963,
0.014311188831925392,
-0.007690258789807558,
0.013081460259854794,
-0.022028179839253426,
0.013696324080228806,
0.03443240001797676,
0.003063182346522808,
-0.01060418039560318,
0.04241672158241272,
-0.04034935310482979,
0.019123168662190437,
-0.045945510268211365,
0.009588317945599556,
0.010898246429860592,
-0.007177872117608786,
0.015068629756569862,
-0.025521323084831238,
-0.011281422339379787,
0.02780255861580372,
-0.03985033184289932,
0.07749071717262268,
-0.026715407148003578,
0.018374638631939888,
-0.01569240540266037,
-0.025075769051909447,
0.013224037364125252,
0.02487972564995289,
0.0232579093426466,
-0.02598469890654087,
0.05239712819457054,
-0.018249884247779846,
0.04665839672088623,
0.07585108280181885,
-0.026234207674860954,
0.03282840549945831,
0.016093403100967407,
0.01762610860168934,
0.017884530127048492,
0.04558906704187393,
-0.009588317945599556,
0.06861528754234314,
-0.02206382527947426,
0.00649171881377697,
0.021404404193162918,
0.032953161746263504,
-0.03288187086582184,
0.00946356263011694,
-0.0038050294388085604,
-0.0013489141128957272,
-0.023632174357771873,
-0.07428272813558578,
0.04369991645216942,
-0.03785425052046776,
-0.004892180673778057,
0.006964005995541811,
-0.06857964396476746,
0.015487450174987316,
0.058385372161865234,
-0.03118876740336418,
-0.002370346337556839,
-0.036321546882390976,
-0.021600449457764626,
0.018748903647065163,
0.013544836081564426,
-0.02434506081044674,
-0.0035844803787767887,
0.04045628756284714,
-0.01894494891166687,
0.0601675882935524,
-0.01732313260436058,
0.03291751444339752,
-0.007454115431755781,
-0.017483532428741455,
-0.0018033790402114391,
-0.01298343762755394,
-0.002212174702435732,
0.04879705235362053,
0.005315457005053759,
0.026751050725579262,
0.03131352365016937,
0.02577083185315132,
0.011762620881199837,
-0.01287650503218174,
-0.005658533424139023,
-0.018552860245108604,
0.024719325825572014,
-0.003508736379444599,
-0.03083232417702675,
-0.015532005578279495,
-0.03248978406190872,
-0.05474965274333954,
0.006674395874142647,
-0.04954558238387108,
-0.011023001745343208,
0.04191770404577255,
-0.0002752687141764909,
0.02152916043996811,
0.0067857843823730946,
0.012974526733160019,
-0.008924443274736404,
-0.04665839672088623,
0.0008259454043582082,
-0.03892358019948006,
0.053181301802396774,
-0.0010899360058829188,
0.021404404193162918,
0.014052767306566238,
0.0001771076349541545,
0.01937267929315567,
-0.016601335257291794,
0.00004093525785719976,
-0.0037070077378302813,
-0.009320985525846481,
-0.006910539697855711,
-0.009784361347556114,
-0.0152022959664464,
0.015549828298389912,
0.018748903647065163,
0.04070579633116722,
-0.04633759707212448,
-0.03389773517847061,
0.011513110250234604,
-0.0003528229135554284,
0.03806811943650246,
-0.004526826553046703,
0.036963142454624176,
-0.019853878766298294,
-0.008594732731580734,
-0.008933354169130325,
0.0006165350787341595,
-0.0006432683439925313,
0.00646944111213088,
-0.020727163180708885,
-0.030564991757273674,
-0.02227769047021866,
-0.039992909878492355,
-0.023418309167027473,
-0.011709154583513737,
-0.024434171617031097,
-0.01871326006948948,
0.028533266857266426,
0.054072409868240356,
0.000681140401866287,
0.05442885309457779,
0.061094339936971664,
0.01461416482925415,
-0.02931744046509266,
-0.0059793321415781975,
-0.007405104115605354,
0.02974517270922661,
-0.010238826274871826,
0.018374638631939888,
0.03257889300584793,
0.010069516487419605,
-0.022794533520936966,
0.017456797882914543,
0.012422040104866028,
-0.030386770144104958,
-0.027659980580210686,
0.02716096118092537,
0.031349167227745056,
0.006046165246516466,
0.03842455893754959,
0.028747132048010826,
0.03567994758486748,
-0.015950826928019524,
0.024380704388022423,
-0.022990576922893524,
0.0035688860807567835,
-0.04017113149166107,
-0.061308205127716064,
0.031652141362428665,
0.02468368038535118,
-0.036107681691646576,
0.001391241792589426,
-0.01000713836401701,
0.020477652549743652,
0.0009239672217518091,
-0.040848374366760254,
-0.0454464890062809,
-0.0027178782038390636,
-0.022473733872175217,
0.025075769051909447,
-0.010746757499873638,
-0.035769060254096985,
-0.004669404122978449,
-0.000173626744071953,
-0.014961697161197662,
0.0003121661429759115,
0.03895922377705574,
-0.02274106629192829,
-0.007307082414627075,
-0.007204605266451836,
-0.0026733228005468845,
-0.04191770404577255,
0.0220816470682621,
0.027446115389466286,
-0.013188392855226994,
0.007872935384511948,
0.012413129210472107,
0.01841028407216072,
0.009062564931809902,
0.022687600925564766,
0.01223490759730339,
-0.021992536261677742,
0.03860278055071831,
-0.026661939918994904,
0.02639460749924183,
0.005190701689571142,
-0.0041169170290231705,
0.01591518148779869,
0.011486377567052841,
0.03746216371655464,
-0.033594757318496704,
0.012154707685112953,
-0.02716096118092537,
-0.010310115292668343,
0.013019082136452198,
0.015300317667424679,
0.06547858566045761,
0.024380704388022423,
-0.021279649809002876,
-0.04430587217211723,
-0.028622377663850784,
-0.007592237088829279,
-0.07356984168291092,
0.0028359501156955957,
0.031866010278463364,
-0.01396365649998188,
0.00033249452826566994,
-0.015273584984242916,
-0.007538770325481892,
-0.008478889241814613,
0.010381403379142284,
0.006166464649140835,
0.012760661542415619,
-0.04569599777460098,
-0.035982925444841385,
-0.0032035319600254297,
0.0006221045041456819,
-0.03313137963414192,
-0.018535038456320763,
-0.02684016153216362,
-0.03211551904678345,
-0.021190539002418518,
-0.011299245059490204,
-0.010871512815356255,
-0.029887748882174492,
-0.006794695742428303,
-0.014961697161197662,
-0.007516492623835802,
-0.05015153810381889,
-0.02530745603144169,
0.003546608379110694,
-0.023008398711681366,
0.005235257092863321,
-0.07863133400678635,
0.04405635967850685,
0.0025619345251470804,
0.010158627294003963,
-0.010586358606815338,
-0.023525241762399673,
0.000993584981188178,
0.018098395317792892,
0.00035449376446194947,
0.021083606407046318,
-0.014409210532903671,
0.009490296244621277,
0.010657647624611855,
-0.03261454030871391,
-0.008091256953775883,
0.04794159159064293,
0.04359298571944237,
0.012101241387426853,
0.009668517857789993,
0.0037248297594487667,
-0.006023887544870377,
-0.021047962829470634,
0.041703835129737854,
0.013776523992419243,
-0.0014647581847384572,
0.01668153516948223,
-0.016164692118763924,
-0.007708081044256687,
-0.018338995054364204,
-0.018240973353385925,
0.0022923743817955256,
-0.07478175312280655,
0.008496711030602455,
0.008340767584741116,
-0.012208173982799053,
0.02530745603144169
] |
Robotics, automation, and related Artificial Intelligence (AI) systems have
become pervasive bringing in concerns related to security, safety, accuracy,
and trust. With growing dependency on physical robots that work in close
proximity to humans, the security of these systems is becoming increasingly
important to prevent cyber-attacks that could lead to privacy invasion,
critical operations sabotage, and bodily harm. The current shortfall of
professionals who can defend such systems demands development and integration
of such a curriculum. This course description includes details about seven
self-contained and adaptive modules on "AI security threats against pervasive
robotic systems". Topics include: 1) Introduction, examples of attacks, and
motivation; 2) - Robotic AI attack surfaces and penetration testing; 3) -
Attack patterns and security strategies for input sensors; 4) - Training
attacks and associated security strategies; 5) - Inference attacks and
associated security strategies; 6) - Actuator attacks and associated security
strategies; and 7) - Ethics of AI, robotics, and cybersecurity. | [
-0.027531804516911507,
-0.00637092674151063,
-0.02588661201298237,
-0.010324426926672459,
0.09609270840883255,
0.0022726329043507576,
-0.013984141871333122,
0.029311299324035645,
-0.0466361902654171,
0.051269590854644775,
0.03475051000714302,
-0.057615336030721664,
0.08434133231639862,
-0.03399506211280823,
-0.03689933195710182,
0.035388439893722534,
0.015562184154987335,
-0.004389979876577854,
-0.034549057483673096,
-0.06399466097354889,
0.06459901481866837,
-0.0019368792418390512,
-0.04240569472312927,
0.03800731897354126,
0.003099426394328475,
-0.014042899012565613,
-0.0020837713964283466,
0.011214174330234528,
-0.06580772995948792,
0.020850306376814842,
0.015855969861149788,
0.02993244305253029,
0.02032988704741001,
0.026893872767686844,
0.035489168018102646,
-0.025819459930062294,
-0.03770514205098152,
0.09125785529613495,
-0.058555446565151215,
0.04525959864258766,
-0.0006657366757281125,
-0.0460989847779274,
0.035657044500112534,
0.01804676279425621,
0.012255010195076466,
-0.014311501756310463,
-0.05939483270049095,
-0.05999918654561043,
-0.02264658734202385,
0.04327865317463875,
0.00377303222194314,
-0.017291316762566566,
-0.023821726441383362,
0.0005164836184121668,
-0.026172000914812088,
-0.018634330481290817,
0.05190752446651459,
-0.013312635011970997,
0.06130862608551979,
0.009140894748270512,
0.030251409858465195,
0.016309237107634544,
-0.026742782443761826,
-0.02036346308887005,
-0.008498765528202057,
-0.022596225142478943,
0.028673367574810982,
0.010609817691147327,
-0.03790659457445145,
-0.0030427679885178804,
-0.035925645381212234,
-0.019574441015720367,
0.004973351955413818,
-0.03169514983892441,
0.027783619239926338,
-0.0025790082290768623,
0.07668614387512207,
0.018281789496541023,
-0.005678434856235981,
-0.015478245913982391,
-0.0268099345266819,
0.040894802659749985,
-0.023536335676908493,
-0.016921987757086754,
0.10233773291110992,
-0.0015444670571014285,
-0.0426071472465992,
-0.09340668469667435,
0.05056450888514519,
-0.020296311005949974,
-0.09025059640407562,
0.03757084161043167,
0.039954692125320435,
0.0007664627628400922,
0.009283590130507946,
-0.00287908804602921,
-0.015066947788000107,
-0.003827592357993126,
-0.02076636627316475,
-0.01979268155992031,
0.022864827886223793,
0.029428813606500626,
0.004801278002560139,
-0.0039052353240549564,
0.011390444822609425,
-0.027850769460201263,
-0.02937844954431057,
-0.007340415380895138,
-0.009401103481650352,
0.08246111124753952,
-0.025114377960562706,
-0.03511983901262283,
-0.057716064155101776,
0.004215807653963566,
-0.030133895576000214,
-0.006605954375118017,
-0.04348010569810867,
-0.05251188203692436,
-0.047509148716926575,
-0.009854371659457684,
-0.0431443527340889,
-0.026373453438282013,
0.05956270918250084,
-0.009845977649092674,
-0.0657069981098175,
0.02168969064950943,
-0.018013186752796173,
0.04123055562376976,
0.00424728449434042,
0.04159988462924957,
0.02669242024421692,
0.043211501091718674,
0.009384316392242908,
0.022529074922204018,
0.014101656153798103,
-0.0006337351514957845,
-0.013094394467771053,
0.040491897612810135,
0.0005419274675659835,
-0.0026419619098305702,
-0.02628951519727707,
0.0273471400141716,
-0.04834853485226631,
0.01151635218411684,
-0.005762373097240925,
0.041834913194179535,
0.004276663064956665,
0.04700551927089691,
-0.04294290021061897,
0.04052547365427017,
-0.01280061062425375,
0.058253269642591476,
-0.0081126494333148,
-0.02615521475672722,
0.04902004078030586,
-0.008964624255895615,
0.024493232369422913,
0.06778867542743683,
-0.0010911995777860284,
-0.0016672270139679313,
0.0897805392742157,
-0.040626198053359985,
0.00976203940808773,
0.07386581599712372,
0.07554458826780319,
-0.016804473474621773,
0.06943386793136597,
0.00977043341845274,
-0.036194249987602234,
0.034985534846782684,
-0.0013986240373924375,
-0.06711716949939728,
0.004234693478792906,
0.009208045899868011,
0.042640719562768936,
0.014731193892657757,
0.022965554147958755,
-0.02682672068476677,
-0.06117432564496994,
-0.002830823417752981,
-0.05090026184916496,
0.039686087518930435,
-0.008779959753155708,
-0.012095527723431587,
0.0142107754945755,
0.060167066752910614,
0.0622151643037796,
-0.04005541652441025,
0.026088062673807144,
-0.0321819931268692,
0.011222567409276962,
-0.05110171437263489,
0.015251612290740013,
-0.013908597640693188,
-0.02074958011507988,
-0.05076596140861511,
-0.007965756580233574,
-0.027666104957461357,
0.01938977651298046,
-0.00680320942774415,
-0.07252280414104462,
-0.05405634641647339,
0.022327622398734093,
0.003126706462353468,
-0.0016567347338423133,
0.0019106484251096845,
-0.041834913194179535,
0.013639994896948338,
-0.016653383150696754,
0.002734294394031167,
-0.04922149330377579,
0.017224164679646492,
0.011667441576719284,
-0.005984809715300798,
-0.0028832850512117147,
-0.01597348228096962,
0.005460194777697325,
-0.02437571994960308,
-0.012213041074573994,
0.014420622028410435,
0.04710624739527702,
-0.01603223942220211,
0.03204769268631935,
-0.018684694543480873,
-0.0522768534719944,
-0.02857264131307602,
0.026893872767686844,
-0.015637729316949844,
-0.0198262557387352,
-0.009149288758635521,
-0.03219877928495407,
0.023653848096728325,
0.008838716894388199,
0.004066816996783018,
0.04619970917701721,
0.015537003055214882,
0.019037235528230667,
0.01542788278311491,
0.00761321559548378,
0.0012296979548409581,
0.004163345787674189,
0.032014116644859314,
-0.011617078445851803,
-0.0673186182975769,
0.011054690927267075,
0.03332355618476868,
-0.01791246049106121,
0.0919293686747551,
-0.005993203725665808,
0.04811350628733635,
0.022931978106498718,
0.007953166030347347,
0.03231629356741905,
-0.00909892562776804,
-0.032954227179288864,
-0.010886814445257187,
0.013598024845123291,
-0.021505024284124374,
-0.01461368054151535,
-0.0017857900820672512,
0.00006226526602404192,
-0.023653848096728325,
0.007365596946328878,
0.03243380784988403,
-0.01568809151649475,
-0.028102586045861244,
0.039954692125320435,
0.01834893971681595,
0.0525454543530941,
0.01543627679347992,
0.03204769268631935,
-0.00015830263146199286,
-0.00037273907219059765,
0.017828522250056267,
-0.012330555357038975,
-0.03599279746413231,
0.0404583215713501,
0.0065346066839993,
0.027296775951981544,
-0.008662445470690727,
0.04848283529281616,
-0.09293662756681442,
0.07104548811912537,
-0.02249549888074398,
-0.002549629658460617,
-0.01954086683690548,
-0.06788939982652664,
-0.014697618782520294,
-0.02707853727042675,
-0.013203514739871025,
-0.03154405951499939,
0.026474179700016975,
-0.015251612290740013,
0.021723264828324318,
0.04119697958230972,
0.043715134263038635,
-0.011239355430006981,
-0.005506360903382301,
-0.02937844954431057,
-0.053552716970443726,
0.0154866399243474,
0.005355271510779858,
-0.015713274478912354,
0.03703363612294197,
-0.017064683139324188,
0.0154866399243474,
0.009938309900462627,
0.01543627679347992,
-0.02452680841088295,
-0.0036408293526619673,
0.03057037480175495,
0.023888876661658287,
-0.027447866275906563,
0.01462207455188036,
0.03518698737025261,
0.03827592357993126,
0.009140894748270512,
0.0010859534377232194,
-0.01030763890594244,
0.023620273917913437,
0.01902044750750065,
0.02655811794102192,
-0.020581701770424843,
0.07023967802524567,
0.012565582990646362,
0.006114914547652006,
0.01656944490969181,
-0.026977811008691788,
-0.03837664797902107,
-0.027985071763396263,
-0.015268400311470032,
0.025668371468782425,
-0.01725774072110653,
-0.014235957525670528,
0.047475576400756836,
-0.06862805783748627,
-0.020262736827135086,
0.05378774553537369,
-0.00842741783708334,
-0.030234621837735176,
-0.033474646508693695,
-0.06469973921775818,
-0.06107360124588013,
-0.016619808971881866,
-0.07164984196424484,
0.008519750088453293,
0.019221900030970573,
-0.005258742719888687,
0.015293581411242485,
0.015620941296219826,
0.0009458811837248504,
0.0017595592653378844,
-0.01158350333571434,
-0.033894337713718414,
0.014000929892063141,
-0.010433546267449856,
-0.02506401389837265,
-0.020162010565400124,
-0.04354725778102875,
-0.02451002039015293,
0.07010537385940552,
-0.032417021691799164,
0.015847574919462204,
-0.010500697419047356,
-0.0273471400141716,
-0.06708358973264694,
-0.009266802109777927,
-0.018802206963300705,
-0.028488703072071075,
0.03605994954705238,
-0.032400231808423996,
0.01691359281539917,
0.014026110991835594,
-0.042103514075279236,
-0.04569607973098755,
-0.032652050256729126,
0.01306081935763359,
0.0022285652812570333,
-0.01925547607243061,
0.04462166875600815,
0.015066947788000107,
0.031023642048239708,
-0.05472785606980324,
0.030671101063489914,
-0.020413825288414955,
0.05973058566451073,
0.05133674293756485,
-0.04307720065116882,
0.010693755932152271,
0.05348556488752365,
-0.03328998014330864,
-0.001779494690708816,
-0.05879047513008118,
-0.007567049469798803,
0.03649642691016197,
-0.011356869712471962,
0.016963956877589226,
-0.022025443613529205,
0.024426082149147987,
-0.05069880932569504,
-0.00963613111525774,
0.03438118100166321,
0.03575776889920235,
0.013472117483615875,
-0.017291316762566566,
-0.02236119657754898,
-0.010995933786034584,
-0.05304908752441406,
0.006597560364753008,
-0.01476476900279522,
0.016216903924942017,
-0.012624339200556278,
-0.02414069138467312,
0.012179465964436531,
0.005414028652012348,
0.08346837013959885,
0.029193785041570663,
0.028253674507141113,
-0.0460989847779274,
-0.004285056609660387,
0.011331687681376934,
0.02508080191910267,
0.055970143526792526,
-0.024711472913622856,
-0.0242582056671381,
0.021521812304854393,
-0.02964705228805542,
-0.03626140207052231,
0.019305838271975517,
-0.025903398171067238,
0.04106267914175987,
-0.019322626292705536,
0.0024489036295562983,
0.026725996285676956,
0.01601545140147209,
-0.017727795988321304,
0.011147023178637028,
0.0485164113342762,
-0.003531709313392639,
0.002786755794659257,
-0.025433342903852463,
0.040626198053359985,
-0.0018172669224441051,
-0.04730769619345665,
-0.044755969196558,
-0.07755910605192184,
-0.0042095123790204525,
-0.001940026879310608,
0.007588034030050039,
-0.01804676279425621,
-0.029311299324035645,
0.058286845684051514,
-0.039417486637830734,
0.01024048775434494,
0.04888574033975601,
-0.037134360522031784,
0.05217612534761429,
-0.044655244797468185,
-0.021353935822844505,
-0.01625887304544449,
0.02006128430366516,
0.05620517209172249,
-0.018097124993801117,
-0.009149288758635521,
0.02936166152358055,
0.004131868947297335,
-0.02157217636704445,
-0.06198013573884964,
0.0013776394771412015,
0.028136160224676132,
0.01833215169608593,
-0.04163346067070961,
0.024896137416362762,
0.04445379227399826,
-0.005246151704341173,
-0.00387165998108685,
0.023939238861203194,
0.003261007834225893,
-0.02773325704038143,
-0.0045620533637702465,
-0.038611676543951035,
0.02126999758183956,
0.012305373325943947,
0.008523947559297085,
-0.006207246799021959,
0.0009673903696238995,
0.030217833817005157,
-0.008398039266467094,
-0.06352460384368896,
0.018097124993801117,
0.0037562446668744087,
-0.05879047513008118,
-0.01603223942220211,
-0.034129366278648376,
0.006878754124045372,
-0.019876619800925255,
0.009568980894982815,
-0.028555853292346,
0.027112111449241638,
0.031594425439834595,
-0.07091118395328522,
-0.03844380006194115,
0.01118059828877449,
0.07373151183128357,
-0.030755039304494858,
0.0032861893996596336,
0.00512024387717247,
0.02627272717654705,
0.050329480320215225,
0.07091118395328522,
0.0055651175789535046,
0.021857567131519318,
-0.009140894748270512,
0.003498133970424533,
0.004952367395162582,
0.011835318058729172,
0.03436439111828804,
-0.041163403540849686,
0.02346918359398842,
0.023485971614718437,
-0.01009779330343008,
0.007915393449366093,
-0.012347342446446419,
-0.013195120729506016,
-0.008066482841968536,
0.022596225142478943,
0.044520940631628036,
-0.041029103100299835,
-0.05365344136953354,
-0.01792924851179123,
-0.03716793656349182,
-0.01965837925672531,
-0.05331768840551376,
-0.0008656150312162936,
0.024996863678097725,
0.02261301316320896,
0.04462166875600815,
0.013824659399688244,
-0.0348176583647728,
0.000641604361589998,
-0.05905907601118088,
0.0622151643037796,
0.017425617203116417,
-0.009795614518225193,
-0.0017994299996644258,
0.013304241001605988,
0.06752007454633713,
-0.003328158752992749,
-0.021740052849054337,
0.0003635583270806819,
0.00724388612434268,
0.004054225981235504,
-0.055835843086242676,
0.011163811199367046,
0.014907464385032654,
0.017425617203116417,
0.012204647064208984,
0.016191722825169563,
0.024828987196087837,
-0.02385530062019825,
-0.028387976810336113,
-0.0474420003592968,
-0.00882192887365818,
0.044957421720027924,
-0.03877955302596092,
-0.03310531750321388,
0.0087044145911932,
0.05412349849939346,
0.05482858046889305,
0.00565325329080224,
-0.015889544039964676,
-0.008620476350188255,
-0.013102788478136063,
-0.029277723282575607,
0.005674237851053476,
0.02222689613699913,
-0.025920186191797256,
-0.0292273610830307,
-0.028119374066591263,
-0.002157217590138316,
-0.045326750725507736,
0.008196587674319744,
0.0038359861355274916,
0.004287155345082283,
0.05966343358159065,
0.01679607853293419,
0.010156549513339996,
-0.011776561848819256,
-0.0180803369730711,
-0.025382980704307556,
-0.015738455578684807,
0.009510223753750324,
-0.0011740888003259897,
0.038074471056461334,
-0.022310834378004074,
0.019876619800925255,
0.01030763890594244,
-0.0200948603451252,
0.018768632784485817,
-0.03988754004240036,
0.02895875833928585,
0.0025139558129012585,
0.0194233525544405,
0.07453732192516327,
-0.05311623588204384,
0.03545559197664261,
0.008687627501785755,
0.02410711720585823,
-0.010013854131102562,
0.02506401389837265,
0.01703110709786415,
-0.020951030775904655,
0.04677049070596695,
-0.015243218280375004,
0.04337938129901886,
-0.022327622398734093,
0.024745048955082893,
0.039686087518930435,
0.011818530969321728,
0.01708986423909664,
0.006165277678519487,
0.045863956212997437,
-0.017014319077134132,
0.006379320286214352,
-0.034951962530612946,
0.0076677752658724785,
0.0036408293526619673,
0.010206912644207478,
0.013455330394208431,
0.012263404205441475,
-0.0068367850035429,
0.00025902874767780304,
-0.0027888542972505093,
-0.029579902067780495,
-0.029143422842025757,
-0.005141228903084993,
0.018919721245765686,
0.03031856007874012,
-0.002106854459270835,
-0.026490967720746994,
-0.012708278372883797,
-0.0025999927893280983,
-0.004683764185756445,
0.1053595170378685,
-0.015402701683342457,
0.04364798218011856,
-0.010358002036809921,
-0.03733581304550171,
0.007734925951808691,
0.022411560639739037,
0.008179799653589725,
0.0174088291823864,
-0.011163811199367046,
0.03020104579627514,
-0.009829189628362656,
-0.011079872027039528,
-0.034448329359292984,
0.012448068708181381,
-0.002549629658460617,
-0.010601423680782318,
-0.02939523756504059,
-0.04133128002285957,
-0.0009579472825862467,
0.023368459194898605,
-0.0035023309756070375,
0.012825791724026203,
0.0485164113342762,
-0.006505228113383055,
-0.022848039865493774,
0.054795004427433014,
0.015965089201927185,
-0.05190752446651459,
-0.01388341560959816,
0.07070973515510559,
-0.027011385187506676,
-0.013514086604118347,
0.012641127221286297,
0.04133128002285957,
0.009048562496900558,
-0.031074006110429764,
-0.02086709253489971,
0.018651118502020836,
-0.01152474619448185,
0.002141479169949889,
-0.02452680841088295,
-0.004964957945048809,
0.005691025406122208,
0.0651697963476181,
-0.0029189588967710733,
-0.017727795988321304,
-0.02088388055562973,
-0.005476982332766056,
0.01831536553800106,
0.018265001475811005,
-0.039014581590890884,
-0.0002906368172261864,
-0.010055823251605034,
0.011424019932746887,
0.0054308162070810795,
0.007227098569273949,
-0.04623328521847725,
-0.017014319077134132,
-0.05680952966213226,
0.013598024845123291,
0.0428757481276989,
0.007336218375712633,
0.003326060250401497,
0.024426082149147987,
0.01570487953722477,
-0.009107319638133049,
-0.006731861736625433,
0.05499645695090294,
0.015369126573204994,
-0.004123475402593613,
0.06228231266140938,
0.006685695610940456,
0.029076270759105682,
-0.0007140012457966805,
-0.009510223753750324,
0.021320359781384468,
0.04146558418869972,
-0.026457391679286957,
-0.030100319534540176,
-0.02773325704038143,
-0.039551787078380585,
-0.0332564041018486,
-0.024459658190608025,
-0.0552314855158329,
-0.024157479405403137,
-0.01955765299499035,
0.09038490056991577,
-0.02249549888074398,
0.02993244305253029,
-0.005959628149867058,
-0.013925384730100632,
-0.015805605798959732,
0.0522768534719944,
-0.005376256071031094,
0.028807668015360832,
0.04784490540623665,
0.06265164166688919,
-0.019440140575170517,
0.019608017057180405,
-0.017811734229326248,
0.05076596140861511,
-0.0401897206902504,
-0.0036408293526619673,
-0.0033218632452189922,
0.0007160996901802719,
0.043177928775548935,
0.039551787078380585,
-0.031325820833444595,
0.036865755915641785,
0.0064338804222643375,
0.011046296916902065,
-0.013438542373478413,
0.03998826816678047,
-0.010559454560279846,
-0.005057290196418762,
0.01833215169608593,
-0.0015266301343217492,
0.058253269642591476,
-0.00970328226685524,
0.04673691838979721,
0.05939483270049095,
0.014042899012565613,
0.012557188980281353,
-0.04096195101737976,
0.034549057483673096,
0.01610778458416462,
0.03369288519024849,
0.013161545619368553,
0.045863956212997437,
-0.0062785944901406765,
0.005892477463930845,
-0.009485042653977871,
0.027414290234446526,
-0.01925547607243061,
0.002285223687067628,
-0.03236665949225426,
0.010995933786034584,
-0.0241239033639431,
0.016326025128364563,
0.04522602632641792,
-0.024828987196087837,
-0.02709532529115677,
0.0031015248969197273,
-0.015889544039964676,
-0.013153151609003544,
0.06943386793136597,
-0.028757305815815926,
0.0008341381326317787,
-0.005040502641350031,
-0.000046953056880738586,
0.007705547846853733,
0.0036953892558813095,
-0.05610444396734238,
0.018365727737545967,
-0.002474085194990039,
-0.03033534809947014,
0.07205274701118469,
0.028858032077550888,
0.011969619430601597,
0.004457130562514067,
-0.011113448068499565,
0.028270462527871132,
-0.02749822847545147,
0.0014479379169642925,
0.011281324550509453,
0.002125740749761462,
0.01549503393471241,
-0.010215306654572487,
-0.018298577517271042,
0.02261301316320896,
-0.016787685453891754,
0.016829654574394226,
0.03827592357993126,
0.019322626292705536,
-0.00019174684712197632,
-0.019087597727775574,
0.0487850159406662,
-0.0522768534719944,
-0.040223293006420135,
0.012985275126993656,
0.018785420805215836,
0.04173418506979942,
0.039283182471990585,
0.036026373505592346,
-0.004763505887240171,
0.01764385774731636,
0.006765437312424183,
-0.0028434142004698515,
-0.04025686904788017,
0.00799513515084982,
0.015377519652247429,
0.013169939629733562,
-0.01819785125553608,
0.007957362569868565,
-0.0393839105963707,
-0.005670040845870972,
0.0186175424605608,
0.00548957334831357,
0.0235866978764534,
-0.03206447884440422,
-0.032954227179288864,
-0.03327319398522377,
-0.051202442497015,
-0.012708278372883797,
0.0600663386285305,
-0.022126169875264168,
-0.005313302390277386,
-0.0011205780319869518,
0.005682631395757198,
0.024745048955082893,
0.0032274324912577868,
0.0035547923762351274,
0.03323961794376373,
0.01610778458416462,
-0.005199985578656197,
-0.008083270862698555,
-0.03689933195710182,
0.02022916078567505,
-0.005145425442606211,
0.036966484040021896,
0.0253326166421175,
0.03572419658303261,
-0.002885383553802967,
-0.0290930587798357,
-0.05492930859327316,
-0.02585303597152233,
-0.00504889665171504,
0.0237210001796484,
0.006261806935071945,
0.029831716790795326,
-0.0017259839223697782,
-0.014437409117817879,
0.022193320095539093,
-0.006366729736328125,
-0.019171535968780518,
0.015830786898732185,
-0.03283671289682388,
-0.023267732933163643,
0.027548592537641525,
-0.03763798996806145,
0.03505268692970276,
-0.01024048775434494,
0.00038690370274707675,
-0.04811350628733635,
0.06238304078578949,
0.034448329359292984,
-0.04042474552989006,
-0.005237757693976164,
-0.04838211089372635,
0.014924252405762672,
0.05079953745007515,
0.015369126573204994,
-0.022512286901474,
0.034028638154268265,
-0.034314028918743134,
-0.006026779301464558,
0.011130235157907009,
-0.005401437636464834,
0.0022117774933576584,
0.016519082710146904,
-0.0008425319683738053,
0.045024573802948,
-0.010173337534070015,
-0.009443073533475399,
-0.007554458454251289,
0.014135231263935566,
0.001977799227461219,
-0.03817519545555115,
-0.030150683596730232,
0.005296514835208654,
-0.01036639604717493,
-0.0020344576332718134,
-0.014915858395397663,
0.004001764580607414,
0.012867760844528675,
-0.01725774072110653,
0.0544256754219532,
-0.015478245913982391,
-0.04888574033975601,
0.01802997477352619,
-0.03209805488586426,
0.006614347919821739,
-0.0042304969392716885,
-0.04055904969573021,
0.024006390944123268,
-0.022277258336544037,
-0.05083311349153519,
0.013430148363113403,
-0.05486215651035309,
-0.0027573774568736553,
0.017895672470331192,
-0.008402236737310886,
-0.0460989847779274,
0.037369389086961746,
-0.0393839105963707,
0.002335586817935109,
-0.01752634346485138,
0.004253579769283533,
0.016955561935901642,
-0.014957827515900135,
0.005384650081396103,
0.024593958631157875,
0.01036639604717493,
0.04405088722705841,
-0.007974150590598583,
0.0309732798486948,
-0.04962439835071564,
0.0009285688283853233,
0.011642259545624256,
-0.020699216052889824,
-0.04203636571764946,
0.028387976810336113,
-0.03921603411436081,
-0.05069880932569504,
-0.04458809271454811,
0.051269590854644775,
-0.009501829743385315,
-0.0011510057374835014,
-0.02385530062019825,
-0.012431280687451363,
-0.04546105116605759,
0.029025908559560776,
-0.0023691621609032154,
-0.024358931928873062,
-0.019708743318915367,
0.030402498319745064,
-0.036563578993082047,
-0.038611676543951035,
-0.01618332974612713,
-0.03716793656349182,
-0.011004327796399593,
0.008498765528202057,
-0.020010922104120255,
-0.03273598849773407,
-0.01218785997480154,
-0.031863026320934296,
-0.004440343007445335,
-0.06208086013793945,
0.014328289777040482,
-0.025936974212527275,
-0.03790659457445145,
-0.03609352558851242,
0.033625733107328415,
0.014034505002200603,
-0.036832183599472046,
-0.00008584015449741855,
-0.019054023548960686,
-0.007411763072013855,
-0.015134098939597607,
-0.00838964618742466,
-0.026776358485221863,
-0.029966019093990326,
0.014202382415533066,
-0.0006405551102943718,
-0.015394307672977448,
0.002264239126816392,
-0.02910984680056572,
0.019339414313435555,
-0.008498765528202057,
0.017845310270786285,
0.01802997477352619,
0.04378228262066841,
0.06050281971693039,
-0.06802370399236679,
0.003638730850070715,
0.0052209701389074326,
-0.005825326777994633,
-0.037671566009521484,
0.02519831620156765,
-0.0018246115650981665,
0.011088266037404537,
0.009208045899868011,
0.03451548144221306,
0.04730769619345665,
0.004520084243267775,
-0.03844380006194115,
-0.00029562064446508884,
0.0012422887375578284,
0.011776561848819256,
-0.01567130535840988
] |
Deep Learning (DL) acceleration support in CPUs has recently gained a lot of
traction, with several companies (Arm, Intel, IBM) announcing products with
specialized matrix engines accessible via GEMM instructions. CPUs are pervasive
and need to handle diverse requirements across DL workloads running in
edge/HPC/cloud platforms. Therefore, as DL workloads embrace sparsity to reduce
the computations and memory size of models, it is also imperative for CPUs to
add support for sparsity to avoid under-utilization of the dense matrix engine
and inefficient usage of the caches and registers. This work presents VEGETA, a
set of ISA and microarchitecture extensions over dense matrix engines to
support flexible structured sparsity for CPUs, enabling programmable support
for diverse DL models with varying degrees of sparsity. Compared to the
state-of-the-art (SOTA) dense matrix engine in CPUs, a VEGETA engine provides
1.09x, 2.20x, 3.74x, and 3.28x speed-ups when running 4:4 (dense), 2:4, 1:4,
and unstructured (95%) sparse DNN layers. | [
0.027655960991978645,
0.02991543337702751,
-0.038718342781066895,
0.02169094979763031,
0.04522562772035599,
0.03231951594352722,
0.010827398858964443,
0.031018057838082314,
0.02481806091964245,
0.017090659588575363,
0.041538167744874954,
-0.016322439536452293,
0.03526586666703224,
-0.007311657536774874,
-0.029734676703810692,
0.03846528381109238,
0.01231865119189024,
-0.045117173343896866,
0.019901445135474205,
-0.09399411082267761,
0.006453057285398245,
-0.03745304048061371,
-0.00034146299003623426,
-0.03463321551680565,
0.019792990759015083,
0.022739345207810402,
-0.0013251814525574446,
0.03139764815568924,
-0.040128257125616074,
0.019503777846693993,
0.038718342781066895,
0.010239935480058193,
-0.015617483295500278,
-0.006294894032180309,
-0.02828861214220524,
-0.03850143402814865,
0.0337294265627861,
0.07031482458114624,
0.013249554671347141,
-0.04367111250758171,
0.0023860044311732054,
-0.01981106773018837,
-0.035663533955812454,
0.009968798607587814,
0.016331477090716362,
-0.0021566678769886494,
0.033241380006074905,
-0.003852403024211526,
-0.024944592267274857,
-0.04439414292573929,
-0.01507520955055952,
-0.000544815615285188,
0.05636031553149223,
-0.016250135377049446,
0.017831766977906227,
0.011658885516226292,
0.04103204607963562,
0.041538167744874954,
0.024619227275252342,
0.006918509025126696,
-0.023679286241531372,
0.0034095461014658213,
-0.04743087664246559,
0.005223903805017471,
0.009806117042899132,
-0.03475974500179291,
0.014560049399733543,
0.03139764815568924,
-0.009968798607587814,
-0.024293864145874977,
-0.07349616289138794,
-0.0066338153555989265,
-0.02422155998647213,
-0.008504659868776798,
0.014216609299182892,
-0.03391018509864807,
0.03922446817159653,
0.016060341149568558,
-0.016078416258096695,
-0.03398248553276062,
0.025251880288124084,
0.03414516896009445,
0.014876375906169415,
-0.0055763814598321915,
0.07758129388093948,
-0.03275333344936371,
-0.02902972139418125,
-0.056649528443813324,
-0.020208735018968582,
-0.01413526851683855,
-0.02575800195336342,
-0.03033117763698101,
0.011505240574479103,
-0.05227518826723099,
-0.0018459901912137866,
0.02469153143465519,
-0.011333521455526352,
-0.040055952966213226,
-0.00004501295552472584,
0.01105334609746933,
-0.0612407810986042,
-0.0022165437694638968,
0.007790666073560715,
-0.014243723824620247,
0.022251298651099205,
0.009652472101151943,
-0.009661510586738586,
0.04038131609559059,
0.03752534091472626,
0.04569559916853905,
-0.024058878421783447,
-0.06702503561973572,
0.014957716688513756,
-0.013005531392991543,
-0.01897958107292652,
0.019069960340857506,
-0.04045362025499344,
-0.06528975814580917,
-0.017678122967481613,
-0.027674036100506783,
0.02550494112074375,
0.026878701522946358,
-0.03051193617284298,
-0.015617483295500278,
-0.07139937579631805,
0.024293864145874977,
-0.052998218685388565,
-0.03609735518693924,
-0.012463257648050785,
0.012897077016532421,
-0.01464139111340046,
-0.023299694061279297,
0.010502034798264503,
-0.0208775382488966,
0.04428568854928017,
0.0071128238923847675,
0.033711351454257965,
0.08061803132295609,
0.025432638823986053,
0.012851887382566929,
0.007808741647750139,
0.03533817082643509,
0.006688042543828487,
0.011478126980364323,
-0.04034516587853432,
-0.033783651888370514,
-0.032536424696445465,
0.06091541424393654,
-0.009562093764543533,
-0.00823352299630642,
-0.00872608833014965,
-0.02622797340154648,
0.043707262724637985,
0.010917778126895428,
0.05303437262773514,
0.05480580031871796,
-0.048876937478780746,
-0.016783371567726135,
0.03922446817159653,
-0.015771128237247467,
-0.00395407946780324,
-0.019431475549936295,
-0.048949241638183594,
0.03904370963573456,
0.013800866901874542,
0.010664716362953186,
-0.006227110046893358,
0.050467610359191895,
-0.036838460713624954,
0.039947498589754105,
0.0031474470160901546,
0.03278948366641998,
0.007542124018073082,
0.039477527141571045,
-0.028180157765746117,
0.0022786795161664486,
-0.001782724866643548,
0.016602614894509315,
-0.03156033158302307,
-0.04273116961121559,
-0.06485594063997269,
-0.019829142838716507,
0.013981624506413937,
-0.00037337804678827524,
0.05874631926417351,
0.0054679266177117825,
0.02939123660326004,
-0.009290956892073154,
-0.01286996342241764,
-0.012065590359270573,
0.019720688462257385,
0.018654216080904007,
0.033187150955200195,
-0.03134342283010483,
-0.007243873085826635,
-0.0666273683309555,
-0.030891526490449905,
-0.019142262637615204,
0.011487165465950966,
-0.002840158762410283,
-0.07208625227212906,
-0.003102257614955306,
0.04522562772035599,
-0.0337294265627861,
0.005883669946342707,
0.018599988892674446,
0.017298532649874687,
0.031144587323069572,
0.03723612800240517,
-0.017885996028780937,
0.03085537627339363,
-0.0016279509291052818,
-0.08285942673683167,
-0.030891526490449905,
0.0362238846719265,
-0.014569087885320187,
0.013394161127507687,
-0.04992533475160599,
-0.06756730377674103,
-0.006832648999989033,
-0.012101742438971996,
-0.007442707195878029,
0.0033711350988596678,
-0.017316607758402824,
-0.04504487290978432,
-0.058529410511255264,
-0.0208052359521389,
-0.013159176334738731,
-0.05802328884601593,
0.005707431118935347,
0.04815390706062317,
0.01751544140279293,
0.005770696327090263,
-0.01616879552602768,
0.038356829434633255,
-0.025848381221294403,
-0.013330896385014057,
-0.0041145021095871925,
-0.006669966969639063,
0.014912527985870838,
0.01629532501101494,
0.042767323553562164,
-0.062469933182001114,
-0.015490952879190445,
-0.021799404174089432,
0.03333175927400589,
-0.01255363691598177,
0.07111015915870667,
-0.016738181933760643,
0.0036490503698587418,
0.00039371332968585193,
-0.014442557469010353,
-0.0005066870362497866,
-0.023769665509462357,
-0.0054995594546198845,
0.03472359478473663,
0.05325128138065338,
-0.050178397446870804,
-0.035428550094366074,
0.01540057361125946,
0.07729208469390869,
-0.04338189959526062,
-0.017325645312666893,
0.0011432938044890761,
-0.05104603245854378,
-0.027185989543795586,
0.04432183876633644,
0.03374750167131424,
0.023028558120131493,
0.014831186272203922,
0.0029034239705652,
-0.026426807045936584,
-0.038176070898771286,
-0.049057696014642715,
-0.0021013107616454363,
-0.03792300820350647,
-0.048226211220026016,
0.0692664310336113,
0.05274515971541405,
-0.024311939254403114,
0.024546924978494644,
-0.02646295726299286,
0.003567709354683757,
0.019955674186348915,
0.03980289027094841,
-0.04819005727767944,
-0.03626003861427307,
-0.04461105167865753,
-0.015445763245224953,
-0.04696090519428253,
-0.028704356402158737,
0.05860171467065811,
-0.020534098148345947,
0.03645887225866318,
0.06189150735735893,
-0.013511653989553452,
-0.003443438094109297,
-0.05567343533039093,
0.01681048609316349,
-0.0463101752102375,
0.005553786642849445,
-0.017262380570173264,
0.08069033175706863,
0.013240517117083073,
-0.0550227090716362,
-0.04909384995698929,
-0.04305653274059296,
0.06604894250631332,
-0.00707215303555131,
-0.028378991410136223,
0.00014192319940775633,
-0.0032626802567392588,
0.008061802946031094,
-0.018654216080904007,
0.006367197260260582,
0.06073465943336487,
0.007094747852534056,
0.005770696327090263,
-0.008653785102069378,
-0.013972586952149868,
-0.0033169076777994633,
-0.005138043779879808,
-0.0927649587392807,
0.009751888923346996,
0.03799531236290932,
0.042767323553562164,
-0.028487447649240494,
0.031144587323069572,
-0.01042973157018423,
0.011785415932536125,
-0.006041833199560642,
-0.06008392944931984,
-0.046237874776124954,
0.04750318080186844,
-0.01443351898342371,
0.02575800195336342,
0.023064710199832916,
0.025776078924536705,
-0.014234685339033604,
-0.020353341475129128,
0.008120548911392689,
-0.00022552373411599547,
-0.041827380657196045,
0.015617483295500278,
-0.013321857899427414,
-0.0698087066411972,
-0.04345420002937317,
0.015780165791511536,
-0.048768483102321625,
-0.023498527705669403,
0.0010997989447787404,
0.03879064694046974,
-0.0012596567394211888,
-0.021600570529699326,
0.11691422015428543,
-0.0699533149600029,
-0.009733813814818859,
0.03987519443035126,
-0.0019883369095623493,
-0.017795616760849953,
0.005842999555170536,
-0.06518130004405975,
0.006679004989564419,
-0.02057025022804737,
-0.0714716762304306,
-0.000496519380249083,
-0.021907858550548553,
-0.028830885887145996,
-0.02481806091964245,
0.014532935805618763,
-0.008784834295511246,
-0.004776527639478445,
0.03597082570195198,
0.019666461274027824,
0.011469089426100254,
-0.059397049248218536,
0.0075918324291706085,
-0.006950141862034798,
-0.013439350761473179,
0.04497256875038147,
-0.04761163517832756,
-0.02174517698585987,
-0.008269674144685268,
-0.058457110077142715,
0.02698715589940548,
0.02733059599995613,
0.03197607398033142,
-0.04508102312684059,
0.019178414717316628,
0.05238364264369011,
0.04330959543585777,
-0.04627402499318123,
-0.02474575862288475,
-0.04873233288526535,
0.0031519660260528326,
0.03203030303120613,
0.0239865742623806,
-0.01658453792333603,
0.02292010374367237,
0.023299694061279297,
-0.01923264190554619,
0.009372297674417496,
-0.04218889772891998,
0.017117774114012718,
0.014822148717939854,
0.0116136958822608,
-0.05520346760749817,
-0.014578125439584255,
0.03139764815568924,
-0.062108419835567474,
0.03510318696498871,
-0.05885477736592293,
-0.035012807697057724,
-0.04056207463145256,
0.02657141350209713,
0.003676163963973522,
-0.0196303091943264,
-0.000181463998160325,
-0.011975212022662163,
-0.00802565086632967,
-0.023950424045324326,
0.002747520338743925,
0.02158249542117119,
0.03141572326421738,
0.04808160290122032,
0.001953315222635865,
0.018211359158158302,
-0.026661792770028114,
0.030475784093141556,
-0.014008738100528717,
0.033187150955200195,
-0.028848962858319283,
0.016720106825232506,
-0.05372125282883644,
-0.04580405354499817,
-0.012743433006107807,
0.0306203905493021,
0.02252243645489216,
-0.009652472101151943,
-0.010818361304700375,
0.0030231759883463383,
-0.07074864953756332,
-0.0208052359521389,
0.03354866802692413,
-0.05607110261917114,
0.014623315073549747,
-0.002275290200486779,
0.004503131378442049,
-0.013439350761473179,
-0.03286178782582283,
-0.06312066316604614,
0.03598890081048012,
-0.06702503561973572,
-0.012779584154486656,
0.019774915650486946,
0.011911946348845959,
-0.01710873655974865,
-0.007302619516849518,
0.025071121752262115,
-0.004668073263019323,
0.028957417234778404,
0.03626003861427307,
0.019883370026946068,
-0.08929441124200821,
0.010483958758413792,
0.07736438512802124,
-0.05025069788098335,
-0.09681393951177597,
-0.008039208129048347,
0.021130599081516266,
0.03340406343340874,
-0.015590369701385498,
0.0295177660882473,
0.031650710850954056,
-0.0030548085924237967,
0.012752470560371876,
-0.01688278838992119,
-0.062289174646139145,
-0.029825055971741676,
0.03727228194475174,
0.004862387664616108,
-0.005214865785092115,
0.01466850470751524,
-0.01621398515999317,
-0.06818188726902008,
-0.0013330895453691483,
0.03907985985279083,
-0.0184553824365139,
0.03349444270133972,
-0.009015301242470741,
0.004272664897143841,
0.0682903379201889,
-0.012951304204761982,
-0.015274043194949627,
-0.022142844274640083,
-0.008454951457679272,
-0.05968626216053963,
-0.034000564366579056,
0.04406877979636192,
0.05086527764797211,
-0.04902154579758644,
-0.03860988840460777,
-0.03983904421329498,
-0.016548385843634605,
0.0017702977638691664,
-0.021257130429148674,
0.0471416637301445,
0.05332358554005623,
-0.038537587970495224,
0.03532009571790695,
0.006077984813600779,
-0.027204066514968872,
-0.02563147246837616,
-0.026246048510074615,
0.005915302783250809,
0.004399195779114962,
-0.016964130103588104,
-0.025414561852812767,
0.0034502167254686356,
0.01605130173265934,
-0.01599707454442978,
-0.008319382555782795,
-0.05090142786502838,
0.04316499084234238,
-0.027077535167336464,
0.02445654571056366,
0.022612813860177994,
-0.03633233904838562,
0.04808160290122032,
0.01464139111340046,
-0.018599988892674446,
0.026842549443244934,
-0.01475888304412365,
0.026824474334716797,
-0.02140173688530922,
0.021329432725906372,
-0.0015217557083815336,
0.03907985985279083,
0.008007575757801533,
-0.03745304048061371,
-0.011568506248295307,
0.03448861092329025,
0.011731188744306564,
0.006579588167369366,
-0.028144007548689842,
0.017705237492918968,
0.003646790748462081,
-0.02051602303981781,
0.013945472426712513,
0.010836436413228512,
-0.013159176334738731,
-0.03649502247571945,
-0.01568978652358055,
0.009123755618929863,
-0.0188711266964674,
0.01768716238439083,
-0.029011644423007965,
0.01580727845430374,
-0.01986529491841793,
-0.04432183876633644,
-0.008048245683312416,
-0.025251880288124084,
0.015852468088269234,
-0.05874631926417351,
-0.005490521434694529,
-0.0015590370167046785,
0.006462095305323601,
0.027909021824598312,
-0.011920983903110027,
0.04537023603916168,
0.014451595023274422,
-0.02586645632982254,
-0.017325645312666893,
0.00925480481237173,
0.007302619516849518,
0.037706099450588226,
-0.033837880939245224,
-0.03958598151803017,
-0.0463101752102375,
0.023426225408911705,
-0.002840158762410283,
0.003646790748462081,
0.03589852154254913,
0.026264123618602753,
0.016783371567726135,
0.02357083186507225,
-0.01229153759777546,
-0.013936434872448444,
-0.03904370963573456,
-0.030295025557279587,
0.04450259730219841,
0.03526586666703224,
-0.04909384995698929,
-0.011523316614329815,
-0.018618064001202583,
-0.017126811668276787,
0.005264574196189642,
0.01034839078783989,
0.04150201752781868,
-0.020624477416276932,
0.03210260346531868,
0.005210347007960081,
0.03879064694046974,
-0.017777539789676666,
0.012372879311442375,
0.021239055320620537,
0.023552754893898964,
0.004505390767008066,
-0.0013692411594092846,
0.02704138308763504,
-0.0047268192283809185,
-0.02257666364312172,
0.018563836812973022,
-0.005006994120776653,
0.005088335368782282,
0.023371998220682144,
0.04565944895148277,
0.004274924751371145,
-0.021437888965010643,
-0.04800930246710777,
0.07385767996311188,
0.0003058762813452631,
0.008956554345786572,
0.02662564069032669,
-0.020389491692185402,
0.06319296360015869,
0.008170257322490215,
0.02404080145061016,
-0.020299114286899567,
-0.013746638782322407,
-0.019359171390533447,
0.01704547181725502,
-0.0330425463616848,
-0.006068946793675423,
-0.004457941744476557,
-0.028144007548689842,
-0.03345828875899315,
-0.02010027877986431,
0.014822148717939854,
-0.01384605560451746,
-0.023444300517439842,
0.015472876839339733,
0.021709024906158447,
-0.01993759721517563,
-0.020317189395427704,
-0.002661660313606262,
-0.004482796415686607,
0.025884533300995827,
0.011514279060065746,
0.08466700464487076,
0.09471714496612549,
-0.0014641390880569816,
0.03915216401219368,
0.0503230020403862,
-0.000608928210567683,
-0.012219234369695187,
0.08705300837755203,
0.008915883488953114,
0.017271418124437332,
0.006254223641008139,
-0.0087622394785285,
0.043888021260499954,
-0.016313401982188225,
0.0003428751660976559,
0.02169094979763031,
-0.048117756843566895,
-0.019774915650486946,
0.027113687247037888,
0.0066338153555989265,
0.014153344556689262,
0.003913408610969782,
0.005323320627212524,
0.04095974192023277,
0.007148975506424904,
0.01587958261370659,
-0.03850143402814865,
0.035880446434020996,
0.04392417147755623,
-0.010791247710585594,
0.02740290015935898,
-0.02904779650270939,
0.008188333362340927,
0.03980289027094841,
-0.004008306656032801,
-0.029120098799467087,
-0.03222913667559624,
-0.02181747928261757,
-0.0015680749202147126,
-0.028053628280758858,
0.010258011519908905,
-0.03340406343340874,
-0.02946353890001774,
0.021076371893286705,
0.014505822211503983,
0.03497665748000145,
0.005842999555170536,
-0.00584751833230257,
0.05147985368967056,
0.019088035449385643,
-0.037886857986450195,
-0.008888769894838333,
-0.02904779650270939,
-0.040525924414396286,
0.029662372544407845,
0.005815885961055756,
0.03620580956339836,
0.014306988567113876,
0.014225647784769535,
-0.05733640864491463,
-0.006656410172581673,
-0.011704075150191784,
0.015391536056995392,
0.007108304649591446,
0.025902608409523964,
0.018148094415664673,
-0.03085537627339363,
0.024908440187573433,
0.018355965614318848,
-0.06716963648796082,
-0.01897958107292652,
0.010899702087044716,
0.04030901566147804,
-0.01258075051009655,
-0.03528394550085068,
-0.01928686909377575,
0.009995912201702595,
0.013005531392991543,
-0.010664716362953186,
0.02245013229548931,
-0.006403348874300718,
-0.0313795730471611,
-0.02928278222680092,
-0.009797078557312489,
0.01281573623418808,
0.040995895862579346,
-0.04269501939415932,
-0.011749263852834702,
0.03748919069766998,
0.01670203171670437,
0.0013602032558992505,
-0.013159176334738731,
0.004640959203243256,
0.019088035449385643,
0.012056552805006504,
-0.01662972755730152,
0.030078116804361343,
0.05155215784907341,
-0.004383379127830267,
-0.02879473567008972,
0.018726520240306854,
0.012137893587350845,
-0.009589207358658314,
0.02763788402080536,
-0.01728949509561062,
-0.02691485360264778,
-0.018256548792123795,
0.04696090519428253,
0.0018968282965943217,
0.025830306112766266,
-0.023769665509462357,
-0.010854512453079224,
0.06008392944931984,
-0.008265155367553234,
0.0017804654780775309,
0.07432765513658524,
-0.011839643120765686,
0.0162772499024868,
0.003459254512563348,
-0.017027394846081734,
0.016674917191267014,
0.05892707780003548,
0.006593144964426756,
0.04421338438987732,
-0.016367629170417786,
-0.06836263835430145,
0.018193284049630165,
0.010583375580608845,
0.04421338438987732,
0.03983904421329498,
-0.005689355079084635,
-0.056179556995630264,
0.0026029138825833797,
0.00563060911372304,
0.020769083872437477,
-0.05549267679452896,
-0.013837018050253391,
0.034832049161195755,
-0.056179556995630264,
-0.015536142513155937,
-0.01874459534883499,
0.0016200427198782563,
0.02263089083135128,
0.004821717273443937,
0.0017488327575847507,
0.05885477736592293,
-0.01981106773018837,
0.016593575477600098,
-0.003933744039386511,
-0.019720688462257385,
-0.04363495856523514,
0.07385767996311188,
-0.011839643120765686,
-0.011595619842410088,
0.04819005727767944,
-0.010944891721010208,
0.01768716238439083,
-0.008021132089197636,
0.007433669175952673,
0.00767317321151495,
-0.010221859440207481,
0.032192982733249664,
0.00007286803156603128,
-0.03362097218632698,
0.021835556253790855,
0.0018403414869681,
-0.04063437879085541,
-0.03627811372280121,
-0.0176961999386549,
-0.037308432161808014,
0.022142844274640083,
0.00008614244143245742,
-0.010176670737564564,
0.011062384583055973,
0.010050139389932156,
-0.019883370026946068,
-0.03631426393985748,
0.025486866012215614,
0.0009478493011556566,
0.04063437879085541,
0.013448388315737247,
0.0449364148080349,
-0.032120682299137115,
-0.02257666364312172,
0.012372879311442375,
-0.005504078231751919,
0.06431366503238678,
-0.014234685339033604,
0.011821567080914974,
-0.020136430859565735,
0.0770028680562973,
0.012427106499671936,
-0.012535560876131058,
0.002283198293298483,
-0.01251748576760292,
-0.023950424045324326,
0.004399195779114962,
0.025125348940491676,
-0.04186353087425232,
-0.014903489500284195,
-0.030132343992590904,
0.022305525839328766,
0.01008629146963358,
0.01611456833779812,
-0.0043653035536408424,
-0.031126512214541435,
-0.018798822537064552,
0.025486866012215614,
-0.027294443920254707,
-0.03555507957935333,
-0.0394052229821682,
-0.004708743654191494,
0.023064710199832916,
0.016313401982188225,
0.020443718880414963,
0.001736405654810369,
-0.023064710199832916,
0.03785070776939392,
0.025938760489225388,
-0.05448043346405029,
-0.024546924978494644,
-0.037416886538267136,
0.02469153143465519,
0.0029938030056655407,
0.03259065002202988,
-0.022739345207810402,
-0.003090960206463933,
-0.01704547181725502,
-0.04038131609559059,
-0.012915153056383133,
0.012454220093786716,
-0.011731188744306564,
0.001516107004135847,
0.03734458610415459,
0.03723612800240517,
0.07378537952899933,
-0.015897657722234726,
0.005775215104222298,
-0.018563836812973022,
0.013882207684218884,
-0.029716599732637405,
-0.009001743979752064,
0.01628628745675087,
0.03687461465597153,
-0.02064255252480507,
0.051118336617946625,
-0.004487315192818642,
0.013674335554242134,
0.05079297348856926,
0.01921456679701805,
0.01040261797606945,
0.007984980940818787,
-0.0526728555560112,
0.0030864414293318987,
-0.029174325987696648,
0.036766160279512405,
-0.004489574581384659,
0.002984764985740185,
-0.018265586346387863,
-0.005260055419057608,
-0.020497947931289673,
-0.020732931792736053,
0.027818642556667328,
0.025902608409523964,
-0.025179576128721237,
0.027113687247037888,
0.027258293703198433,
0.009327108040452003,
-0.00026803009677678347,
0.042008139193058014,
-0.009507866576313972,
0.020913690328598022,
0.03298831731081009,
-0.0024786428548395634,
0.018428269773721695,
-0.010538185946643353,
-0.030005812644958496,
-0.04891309142112732,
0.017913108691573143,
0.0028785697650164366,
-0.010827398858964443,
-0.03192184865474701,
0.043128836899995804,
0.024076953530311584,
0.01252652332186699,
0.05332358554005623,
0.0027678555343300104,
-0.044357992708683014,
-0.0024899402633309364,
-0.03222913667559624,
-0.0004132012836635113,
-0.04540638625621796,
0.013258593156933784,
0.05455273762345314,
0.032247211784124374,
0.032771408557891846,
-0.05075681954622269,
0.0255772452801466,
0.039766740053892136,
0.038176070898771286,
0.08242560923099518,
-0.01623206026852131,
-0.016358591616153717,
-0.017587745562195778,
-0.0032559018582105637,
0.03936907276511192,
-0.0012393214274197817,
-0.013213403522968292,
-0.02850552275776863,
0.008156700991094112,
0.0176961999386549,
-0.028903190046548843,
0.023968499153852463,
-0.006326526869088411,
0.007975942455232143,
0.029264705255627632,
0.009471714496612549,
-0.03810376673936844,
-0.01968453638255596,
-0.04674399644136429,
-0.0026774764992296696,
0.006489208899438381,
-0.014352178201079369,
0.019142262637615204,
0.005549267865717411,
-0.013683374039828777,
-0.0028808291535824537,
0.03521164134144783,
-0.010592413134872913,
0.023317771032452583,
0.022323602810502052,
0.02152826637029648,
-0.03363904729485512,
0.019088035449385643,
0.04056207463145256,
0.018943428993225098,
-0.0009066138882189989,
0.013068797066807747,
-0.012445182539522648,
-0.06395214796066284,
0.036549247801303864,
-0.0464547835290432,
0.017831766977906227,
0.025143425911664963,
-0.03356674313545227,
0.017416024580597878,
0.014867338351905346,
-0.014704655855894089,
-0.007094747852534056,
-0.001784984371624887,
0.0057164691388607025,
-0.000781213107984513,
-0.04016440734267235,
-0.0024334534537047148,
0.036476947367191315,
-0.00043833794188685715,
0.031903769820928574,
0.02761980891227722,
0.02933700941503048,
-0.03951368108391762,
0.024998819455504417,
0.02474575862288475,
-0.06572357565164566,
-0.000849562173243612,
0.027439050376415253,
0.033078696578741074,
0.0017070325557142496,
-0.039477527141571045,
0.06471133232116699,
0.002296755090355873,
0.03528394550085068,
0.014361215755343437,
-0.021184826269745827,
-0.07591832429170609,
-0.029409311711788177
] |
Semi-supervised learning by self-training heavily relies on pseudo-label
selection (PLS). The selection often depends on the initial model fit on
labeled data. Early overfitting might thus be propagated to the final model by
selecting instances with overconfident but erroneous predictions, often
referred to as confirmation bias. This paper introduces BPLS, a Bayesian
framework for PLS that aims to mitigate this issue. At its core lies a
criterion for selecting instances to label: an analytical approximation of the
posterior predictive of pseudo-samples. We derive this selection criterion by
proving Bayes optimality of the posterior predictive of pseudo-samples. We
further overcome computational hurdles by approximating the criterion
analytically. Its relation to the marginal likelihood allows us to come up with
an approximation based on Laplace's method and the Gaussian integral. We
empirically assess BPLS for parametric generalized linear and non-parametric
generalized additive models on simulated and real-world data. When faced with
high-dimensional data prone to overfitting, BPLS outperforms traditional PLS
methods. | [
0.0030424597207456827,
0.018758395686745644,
-0.048613306134939194,
-0.005973459221422672,
0.03903595730662346,
0.015670524910092354,
-0.031770382076501846,
0.021119708195328712,
-0.01572832092642784,
-0.000022156651539262384,
-0.0036658132448792458,
-0.02864948660135269,
0.04233849048614502,
-0.03224924951791763,
-0.004788674879819155,
-0.0040187714621424675,
0.04124865308403969,
-0.01756948232650757,
0.007628854364156723,
-0.01728876680135727,
0.009346172213554382,
-0.05333593115210533,
-0.02533043920993805,
0.0341482050716877,
0.01879142038524151,
0.04214033856987953,
0.029524657875299454,
-0.009651657193899155,
-0.035205017775297165,
0.013433058746159077,
0.030465880408883095,
0.03877175226807594,
-0.008792998269200325,
-0.021433448418974876,
-0.04709414020180702,
-0.03510593995451927,
0.052642397582530975,
0.04025789350271225,
-0.020492225885391235,
0.026519350707530975,
0.023431481793522835,
0.019187724217772484,
0.03626182675361633,
-0.007550419308245182,
-0.016636516898870468,
-0.006898168940097094,
-0.03338862210512161,
0.006018869113177061,
-0.002497541718184948,
-0.031093360856175423,
-0.02045920118689537,
-0.018114401027560234,
-0.00907371286302805,
-0.043956734240055084,
-0.03480871394276619,
0.058950237929821014,
0.009858065284788609,
0.020772941410541534,
0.034412410110235214,
-0.0029702167958021164,
-0.10079334676265717,
0.052147019654512405,
-0.038441501557826996,
0.006790836341679096,
0.025082748383283615,
0.01565401256084442,
0.02468644455075264,
-0.03804519772529602,
0.036559056490659714,
-0.007339882664382458,
-0.028368771076202393,
-0.011220361106097698,
0.05733199790120125,
0.03939923644065857,
0.024785520508885384,
0.06941927224397659,
0.012277171947062016,
-0.013020241633057594,
0.023051690310239792,
0.024290140718221664,
0.05211399123072624,
0.031407102942466736,
0.006394532043486834,
0.02324984222650528,
-0.0029640246648341417,
0.00023182242875918746,
0.0351719930768013,
-0.04887750744819641,
-0.0027122064493596554,
-0.029392555356025696,
0.008842536248266697,
0.024653419852256775,
-0.006778452079743147,
0.016760362312197685,
0.0007152050966396928,
0.04256966710090637,
-0.008792998269200325,
0.009114994667470455,
-0.039729487150907516,
-0.01428346149623394,
-0.042668744921684265,
-0.00041746097849681973,
0.011864354833960533,
0.011823073029518127,
0.03933318331837654,
-0.029590709134936333,
-0.054293666034936905,
-0.0181474257260561,
0.0011703356867656112,
0.143858402967453,
0.011278155259788036,
-0.009040688164532185,
-0.016603492200374603,
0.028088055551052094,
-0.06354076415300369,
0.007480240426957607,
-0.004076566081494093,
-0.07899662107229233,
0.05449181795120239,
-0.028022004291415215,
-0.0023489275481551886,
0.044386062771081924,
-0.0006878559943288565,
-0.00437585823237896,
-0.057232920080423355,
0.018708856776356697,
-0.030020037665963173,
-0.016686055809259415,
0.038870830088853836,
0.005028108600527048,
0.024488292634487152,
0.007046782877296209,
0.01259091217070818,
-0.020855505019426346,
0.023365430533885956,
0.05568072944879532,
0.06363983452320099,
-0.009032431989908218,
-0.015150376595556736,
-0.03474266082048416,
0.00773618696257472,
-0.045244719833135605,
0.054789043962955475,
0.02331589348614216,
0.001236386364325881,
0.044386062771081924,
0.01004796102643013,
0.05303870141506195,
-0.021301347762346268,
0.04025789350271225,
0.006935322191566229,
0.030829159542918205,
0.018708856776356697,
0.05125533416867256,
0.04643363505601883,
0.02582581900060177,
-0.02483505941927433,
0.01751994527876377,
0.0447823666036129,
0.023431481793522835,
0.038804780691862106,
0.006580299697816372,
0.020277561619877815,
0.07932687550783157,
0.037780992686748505,
0.0857337936758995,
-0.018857471644878387,
-0.020426174625754356,
-0.08071394264698029,
0.024091988801956177,
-0.04815095290541649,
0.010691954754292965,
-0.009569093585014343,
0.032199710607528687,
-0.019980333745479584,
0.06565438210964203,
0.048910535871982574,
0.03632787987589836,
0.026453301310539246,
0.012945935130119324,
0.0019402389880269766,
0.0019866807851940393,
0.005379003006964922,
0.02017848566174507,
0.014952224679291248,
0.0056803589686751366,
0.11836283653974533,
0.051057182252407074,
0.009643400087952614,
0.008495769463479519,
0.009948885068297386,
-0.007645367179065943,
0.061394114047288895,
0.015010018832981586,
0.017470406368374825,
-0.005259286146610975,
-0.05039667338132858,
0.06552228331565857,
0.027146833017468452,
0.013746799901127815,
0.009453504346311092,
-0.06737170368432999,
-0.014811866916716099,
-0.0027163345366716385,
0.0210866816341877,
0.05419458821415901,
0.02275446243584156,
0.055383503437042236,
-0.013482596725225449,
0.00005353718006517738,
0.04256966710090637,
-0.04362647980451584,
-0.06707447022199631,
0.005011595785617828,
-0.04385765641927719,
-0.011534101329743862,
0.00936268549412489,
0.029045790433883667,
0.011798304505646229,
0.02239118330180645,
-0.004088950343430042,
0.04491446912288666,
0.03421425819396973,
-0.053005676716566086,
0.005502847954630852,
0.047985825687646866,
-0.0003619887284003198,
0.027378009632229805,
0.04825002700090408,
0.0003227711422368884,
0.0735144168138504,
-0.015298990532755852,
0.002739039482548833,
-0.014919199049472809,
-0.029673270881175995,
0.02620561048388481,
-0.024141525849699974,
-0.012739526107907295,
0.01488617341965437,
-0.0607336089015007,
0.0035853139124810696,
-0.032183196395635605,
-0.035997625440359116,
-0.0059032803401350975,
0.022655386477708817,
0.02599094621837139,
-0.014481613412499428,
0.006072535179555416,
0.03244740143418312,
0.017486920580267906,
-0.030680544674396515,
0.034049130976200104,
-0.04385765641927719,
0.007591701112687588,
-0.0008700113976374269,
-0.020574789494276047,
0.02282051183283329,
-0.05132138356566429,
0.028732050210237503,
-0.014341255649924278,
0.05029759928584099,
0.020426174625754356,
0.03639392927289009,
0.03860662877559662,
0.02404244989156723,
0.003436699975281954,
0.06228579953312874,
0.003537839977070689,
0.04147983342409134,
0.07371256500482559,
0.0019691360648721457,
-0.03579947352409363,
0.04111655429005623,
0.0015232940204441547,
0.003490366041660309,
-0.04098445177078247,
0.07265575975179672,
-0.06202159449458122,
-0.026238635182380676,
0.01930331438779831,
-0.01209553238004446,
0.051123231649398804,
0.008768228814005852,
0.06585253775119781,
0.05535047501325607,
-0.029673270881175995,
-0.013738542795181274,
-0.0019980333745479584,
-0.007678392343223095,
-0.02762570045888424,
-0.011352461762726307,
-0.02498367242515087,
-0.006951835006475449,
0.008182029239833355,
0.025066236034035683,
0.03215017169713974,
-0.05459089204668999,
0.007034398149698973,
0.02440572902560234,
-0.01183958537876606,
0.03286021575331688,
0.02749359980225563,
-0.002751423977315426,
0.03337211161851883,
0.019484952092170715,
0.0032220352441072464,
0.012524861842393875,
0.07232550531625748,
-0.0782700628042221,
-0.015365040861070156,
-0.04815095290541649,
0.028154104948043823,
-0.02891368791460991,
-0.04012579470872879,
0.0059280493296682835,
0.07615644484758377,
0.029326505959033966,
-0.003521327394992113,
-0.0013230778276920319,
-0.026139559224247932,
0.0218792911618948,
0.01237624790519476,
-0.0723915547132492,
0.02440572902560234,
0.005275798495858908,
-0.015753088518977165,
-0.01709061488509178,
0.05663846433162689,
-0.0030878696125000715,
0.0018700601067394018,
-0.03277765214443207,
-0.06915506720542908,
-0.08916842937469482,
0.016339289024472237,
-0.04488144442439079,
-0.04752346873283386,
-0.04323017597198486,
0.03424728289246559,
-0.02582581900060177,
-0.0002894877688959241,
-0.05029759928584099,
-0.016768617555499077,
-0.027873391285538673,
-0.0633426085114479,
0.007005501072853804,
-0.005552385933697224,
0.009007662534713745,
-0.04821700230240822,
-0.01981520652770996,
-0.023134253919124603,
0.0008591749938204885,
0.01206250675022602,
0.029012763872742653,
0.025710230693221092,
0.024785520508885384,
-0.023943373933434486,
-0.015687039121985435,
-0.05132138356566429,
-0.0325629897415638,
0.04451816529035568,
0.03457753360271454,
-0.0746372789144516,
-0.056374263018369675,
0.0473913699388504,
-0.0118726110085845,
0.04296597093343735,
-0.0011992327636107802,
0.0019423030316829681,
-0.020855505019426346,
0.016908975318074226,
-0.04220638796687126,
0.03659208118915558,
0.030746595934033394,
-0.01635580137372017,
-0.03277765214443207,
0.01162492111325264,
0.01245055440813303,
0.05432669073343277,
-0.052576348185539246,
0.03215017169713974,
-0.06274815648794174,
0.032265760004520416,
-0.014134847559034824,
0.009288378059864044,
-0.008801254443824291,
-0.020690377801656723,
-0.015241196379065514,
0.023200303316116333,
0.0030961260199546814,
-0.012632193975150585,
0.06737170368432999,
-0.08282756060361862,
0.024141525849699974,
-0.06935322284698486,
0.026090022176504135,
0.016545698046684265,
0.03145664185285568,
-0.020574789494276047,
0.014382537454366684,
0.01851070486009121,
0.004590522963553667,
-0.01621544361114502,
-0.046400606632232666,
-0.03996066749095917,
-0.03500686585903168,
0.01994730718433857,
0.019930794835090637,
-0.021268321201205254,
0.009973653592169285,
0.0014520831173285842,
0.015703551471233368,
-0.010006679221987724,
0.002408785978332162,
0.06479572504758835,
0.04184311255812645,
0.043956734240055084,
-0.026304686442017555,
0.032843705266714096,
0.004569882061332464,
0.03622880205512047,
-0.01709061488509178,
0.004441908560693264,
0.022837026044726372,
-0.026453301310539246,
0.03738468885421753,
0.01859326846897602,
-0.009090226143598557,
0.016908975318074226,
-0.0485142320394516,
0.010089242830872536,
0.05957772210240364,
0.06350773572921753,
-0.024158040061593056,
-0.03292626887559891,
0.0034862379543483257,
0.02539649046957493,
-0.0038949265144765377,
-0.019650079309940338,
-0.01671908050775528,
0.005713384598493576,
0.011393743567168713,
-0.029293479397892952,
0.004999211523681879,
0.01664477400481701,
0.0005294375587254763,
-0.07232550531625748,
-0.014572433196008205,
0.015521911904215813,
-0.023216817528009415,
0.019864743575453758,
-0.050132472068071365,
0.010741492733359337,
-0.08150655031204224,
-0.001334430300630629,
0.03289324417710304,
-0.014118334278464317,
-0.0049125198274850845,
-0.027939440682530403,
0.05488812178373337,
-0.01517514605075121,
-0.06562136113643646,
0.05059482529759407,
-0.004437780473381281,
-0.0516846626996994,
-0.04993432015180588,
0.058520909398794174,
0.0020795646123588085,
-0.03322349488735199,
0.0035729294177144766,
-0.020046383142471313,
-0.007988004945218563,
-0.03913503140211105,
-0.02749359980225563,
0.004379986319690943,
0.017470406368374825,
0.026172585785388947,
-0.0029764091596007347,
-0.01456417702138424,
0.029078815132379532,
-0.018130913376808167,
0.0034717891830950975,
-0.05799250304698944,
0.027724776417016983,
-0.024950647726655006,
0.0327446274459362,
0.04484841600060463,
0.021268321201205254,
0.014770585112273693,
0.03079613298177719,
0.0010253337677568197,
-0.06856061518192291,
-0.005861998535692692,
-0.04494749382138252,
-0.024174552410840988,
0.041380755603313446,
-0.021070169284939766,
0.03933318331837654,
-0.007876544259488583,
0.07675089687108994,
0.004027028102427721,
0.0264037624001503,
-0.02972280979156494,
-0.034775685518980026,
0.022919589653611183,
-0.0025656563229858875,
0.005057005677372217,
-0.0014314422151073813,
-0.01686769537627697,
0.01793276146054268,
0.010510316118597984,
-0.003950656857341528,
0.03122546337544918,
0.017536457628011703,
-0.022490259259939194,
0.014770585112273693,
0.01528247818350792,
0.0016378506552428007,
0.014704534783959389,
0.03877175226807594,
-0.008982894010841846,
0.023877324536442757,
0.010601135902106762,
-0.04669783636927605,
0.014019258320331573,
-0.07767561078071594,
0.025082748383283615,
-0.00007250095222843811,
0.020558277145028114,
0.03335559740662575,
-0.011195591650903225,
-0.023216817528009415,
0.044022783637046814,
-0.05634123831987381,
-0.051057182252407074,
-0.016463134437799454,
-0.020294073969125748,
0.0210371445864439,
0.014844892546534538,
-0.03464358672499657,
-0.014085309579968452,
-0.019187724217772484,
0.002794769825413823,
0.031605254858732224,
0.003370649181306362,
-0.0015150376129895449,
-0.0008473065099678934,
0.016537440940737724,
0.003742184257134795,
0.008949868381023407,
-0.005304696038365364,
-0.007732058875262737,
-0.008677409030497074,
-0.0063119689002633095,
0.027014732360839844,
-0.03933318331837654,
-0.026800066232681274,
-0.030730081722140312,
0.015340272337198257,
0.005655589979141951,
-0.005370746366679668,
-0.012161582708358765,
0.008504025638103485,
0.0016275302041321993,
0.008974636904895306,
-0.010138780809938908,
-0.01960054226219654,
0.03745074197649956,
0.0458061508834362,
-0.006076663266867399,
0.012409272603690624,
-0.046103380620479584,
0.06889086961746216,
-0.0054945917800068855,
-0.006316096987575293,
-0.010964414104819298,
0.04699506610631943,
0.03953133523464203,
0.010386470705270767,
-0.026998218148946762,
-0.01756948232650757,
-0.004817571956664324,
-0.027856877073645592,
0.038078222423791885,
0.05369921028614044,
-0.0038825420197099447,
-0.019831718876957893,
-0.03546921908855438,
-0.02949163131415844,
0.035271067172288895,
-0.014399049803614616,
-0.028831126168370247,
0.059181418269872665,
0.007430702447891235,
-0.017982300370931625,
-0.029755834490060806,
0.006600940600037575,
0.023629633709788322,
-0.026436787098646164,
0.03167130425572395,
0.00014977509272284806,
0.046466659754514694,
-0.0183786042034626,
-0.014704534783959389,
0.051783740520477295,
0.001795753138139844,
-0.013548647053539753,
-0.017552969977259636,
-0.01489443052560091,
0.01658697985112667,
0.01822998933494091,
-0.00651424890384078,
0.014943968504667282,
0.03129151463508606,
-0.03094474785029888,
0.026948681101202965,
-0.04167798534035683,
0.013829362578690052,
-0.02395988628268242,
0.01979869417846203,
0.04620245471596718,
0.05511929839849472,
-0.03840847685933113,
0.013078035786747932,
-0.0037339278496801853,
0.005226260516792536,
-0.0022188902366906404,
0.004408883396536112,
-0.03939923644065857,
0.024273628368973732,
-0.03366933763027191,
-0.02706426940858364,
0.015307246707379818,
0.03249694034457207,
-0.02942558191716671,
-0.007760955952107906,
-0.0021280706860125065,
-0.02921091765165329,
0.055944934487342834,
0.011567126959562302,
0.006225277204066515,
0.01134420558810234,
-0.012904653325676918,
0.035931576043367386,
0.04171101003885269,
-0.02899625152349472,
0.024950647726655006,
0.0073563954792916775,
-0.031390588730573654,
0.05898326262831688,
0.017206205055117607,
-0.008677409030497074,
0.01015529315918684,
0.007092192769050598,
0.032463911920785904,
-0.015959497541189194,
0.0062871999107301235,
0.007022013887763023,
0.028979739174246788,
-0.02734498493373394,
0.0023695684503763914,
0.014366025105118752,
-0.0018721241503953934,
-0.01363946683704853,
0.028946714475750923,
0.04702809080481529,
-0.01547237392514944,
-0.012112044729292393,
0.04032394662499428,
0.04960406571626663,
0.007628854364156723,
-0.004763905890285969,
-0.02017848566174507,
-0.04441908746957779,
0.010609392076730728,
0.033917028456926346,
-0.0516846626996994,
0.003440828062593937,
-0.01801532506942749,
-0.017239229753613472,
-0.014101821929216385,
-0.05059482529759407,
-0.00411165552213788,
0.0073811644688248634,
-0.02577628195285797,
-0.003069292986765504,
0.0015779922250658274,
-0.00035166830639354885,
0.010006679221987724,
-0.022721435874700546,
0.05072692781686783,
-0.057728301733732224,
-0.038144271820783615,
0.03903595730662346,
-0.04808489978313446,
0.058091580867767334,
-0.0031952019780874252,
-0.04081932455301285,
-0.009676425717771053,
-0.012301940470933914,
0.030664032325148582,
-0.03596460074186325,
-0.004384114407002926,
0.0059817153960466385,
0.027245908975601196,
0.034907788038253784,
-0.007946723140776157,
0.005032236687839031,
-0.025000184774398804,
-0.01829604059457779,
0.005090031307190657,
-0.030977772548794746,
0.05208096653223038,
0.004326320253312588,
0.017338305711746216,
0.04032394662499428,
0.029458606615662575,
0.02884763851761818,
-0.03328954800963402,
0.019782181829214096,
0.05244424566626549,
0.004817571956664324,
0.017751121893525124,
0.012037738226354122,
-0.012904653325676918,
-0.02002987079322338,
0.026106534525752068,
-0.01295419130474329,
-0.014952224679291248,
0.021516012027859688,
-0.0003717931394930929,
0.013961464166641235,
-0.00412403978407383,
-0.011509332805871964,
0.006291327998042107,
0.06595161557197571,
-0.009882833808660507,
-0.018857471644878387,
0.03294277936220169,
-0.0028174747712910175,
-0.048613306134939194,
0.045112621039152145,
-0.005816588643938303,
0.021549036726355553,
0.013152343221008778,
-0.02526438795030117,
0.0575631745159626,
-0.00593630550429225,
0.004524472169578075,
-0.00861135870218277,
0.016165906563401222,
0.07041003555059433,
-0.012756039388477802,
0.03896990418434143,
-0.009891090914607048,
-0.04280084744095802,
-0.00821918249130249,
0.023233329877257347,
0.004615291953086853,
-0.0011228617513552308,
-0.030895208939909935,
-0.019336339086294174,
-0.014217410236597061,
0.056010983884334564,
-0.016818156465888023,
-0.000045377597416518256,
0.03134104982018471,
-0.03758284077048302,
-0.0010599071392789483,
0.024719469249248505,
-0.06112991273403168,
0.04920776188373566,
0.01231019664555788,
0.021565549075603485,
-0.05475601926445961,
0.04881145805120468,
0.03366933763027191,
-0.012244146317243576,
0.01657872274518013,
-0.01564575731754303,
0.0032096505165100098,
0.006609196774661541,
0.020558277145028114,
-0.02331589348614216,
0.018213476985692978,
0.006134457886219025,
0.02310122735798359,
0.003771081566810608,
-0.01449812576174736,
0.006056022364646196,
-0.02605699561536312,
-0.017916249111294746,
0.0045038312673568726,
-0.01945192739367485,
-0.028401795774698257,
0.02168113924562931,
0.000002084241032207501,
-0.014415563084185123,
0.01416787225753069,
-0.025280900299549103,
0.0035419680643826723,
-0.002788577461615205,
-0.0327446274459362,
-0.01388715673238039,
0.029260454699397087,
-0.013598185032606125,
-0.03365282714366913,
-0.003048652084544301,
-0.045244719833135605,
0.03959738835692406,
0.017041077837347984,
-0.016702568158507347,
0.003211714792996645,
0.005428540986031294,
-0.02741103619337082,
0.025082748383283615,
-0.02620561048388481,
-0.01707410253584385,
0.019220750778913498,
0.002980537246912718,
-0.012541374191641808,
-0.03345467522740364,
-0.02992096170783043,
-0.03748376667499542,
-0.024174552410840988,
-0.04111655429005623,
-0.01115430984646082,
-0.05805855616927147,
-0.013375264592468739,
0.000828729709610343,
-0.008446231484413147,
0.07701510190963745,
0.040885377675294876,
0.014489869587123394,
0.022275594994425774,
-0.05624216049909592,
0.048481203615665436,
-0.05323685333132744,
0.019650079309940338,
0.0322822742164135,
0.03494081273674965,
-0.0023365430533885956,
-0.017239229753613472,
-0.015678782016038895,
-0.015158632770180702,
0.0416119322180748,
-0.009065456688404083,
0.0056514618918299675,
0.04706111550331116,
0.009717707522213459,
0.03079613298177719,
-0.004689598921686411,
0.002110525965690613,
-0.00904894433915615,
0.001371583784930408,
-0.028963226824998856,
-0.01635580137372017,
0.035337116569280624,
0.010609392076730728,
-0.01197994314134121,
0.0166530292481184,
-0.0059239212423563,
-0.028831126168370247,
0.011748766526579857,
-0.02812108024954796,
0.012318453751504421,
0.0024789648596197367,
0.036426953971385956,
-0.06453152000904083,
0.03320698440074921,
-0.0900270864367485,
-0.000493832107167691,
-0.010683698579668999,
-0.04729229211807251,
0.028022004291415215,
0.008227438665926456,
0.042602695524692535,
-0.024091988801956177,
0.018708856776356697,
0.005684487521648407,
-0.036360904574394226,
-0.016174161806702614,
0.027080781757831573,
0.046466659754514694,
-0.040224868804216385,
0.0293430183082819,
0.008124235086143017,
-0.010254369117319584,
-0.04821700230240822,
-0.03063100576400757,
-0.025528591126203537,
0.00461116386577487,
0.0006863079033792019,
0.0011889124289155006,
0.017635533586144447,
-0.011368975043296814,
0.030465880408883095,
-0.02676704153418541,
-0.018824446946382523,
0.010114011354744434,
0.013573416508734226,
-0.02970629744231701,
0.015678782016038895,
-0.044749341905117035,
0.008784741163253784,
0.012442298233509064,
-0.0022766846232116222,
0.03745074197649956,
-0.013292700983583927,
0.013581672683358192,
-0.013036754913628101,
0.016454877331852913,
-0.0496370904147625,
-0.006291327998042107,
-0.05409551411867142,
0.06674422323703766,
0.032827191054821014,
0.00885904859751463,
-0.016884207725524902,
-0.010592878796160221,
0.00904894433915615,
0.014630227349698544,
-0.0012508349027484655,
-0.005989971570670605,
0.02833574451506138,
-0.009560837410390377,
0.021218784153461456,
0.06948532164096832,
0.053633157163858414,
0.010807543992996216,
0.051783740520477295,
-0.03860662877559662,
-0.00260281004011631,
-0.009032431989908218,
0.0069229379296302795,
0.05885116383433342,
-0.027790827676653862,
-0.001828778418712318,
-0.024653419852256775,
0.007335754577070475,
-0.031208951026201248,
-0.022193031385540962,
0.013581672683358192,
-0.016975026577711105,
-0.051915839314460754,
-0.023712197318673134,
-0.0004357797442935407,
0.03127500042319298,
0.013102805241942406,
-0.012392760254442692,
-0.006270687095820904,
-0.011038721539080143,
-0.059676796197891235,
0.009915859438478947,
-0.035931576043367386,
-0.0022766846232116222,
0.020492225885391235,
-0.015596218407154083,
0.02282051183283329,
-0.018345579504966736,
0.03503989055752754,
-0.007005501072853804,
-0.02267189882695675,
-0.030168652534484863,
-0.01592647284269333,
-0.003779337741434574,
0.01822998933494091,
-0.03989461436867714,
0.007620598189532757,
-0.008367796428501606,
-0.007632982451468706,
0.03811124712228775,
-0.011699228547513485,
0.030548444017767906,
0.06459756940603256,
0.014787097461521626,
-0.02174718864262104,
-0.01256614364683628,
-0.0021239423658698797,
-0.025462539866566658,
0.00013145635602995753,
0.0565393902361393,
-0.01678513176739216,
0.007471984252333641,
-0.043824631720781326,
-0.011352461762726307,
-0.022160006687045097,
0.0800534337759018,
0.003952720668166876,
0.016091598197817802,
0.005717512685805559,
0.030201677232980728,
0.027790827676653862,
0.04844817891716957,
-0.05003339797258377,
-0.02001335844397545,
-0.014927455224096775,
-0.026007458567619324,
0.019848231226205826,
0.008982894010841846,
0.02282051183283329,
0.0066587352193892,
-0.04306504875421524,
-0.0025367592461407185,
0.02267189882695675,
0.010287394747138023,
0.002493413398042321,
0.04709414020180702,
-0.008272849023342133,
-0.029442094266414642,
0.0006114848656579852,
0.035337116569280624,
-0.04620245471596718,
-0.016694311052560806,
0.017354818060994148,
-0.013746799901127815,
-0.011393743567168713,
-0.04329622536897659,
-0.039498310536146164,
0.01503478828817606,
0.006505992729216814,
0.004825828596949577,
-0.020789453759789467,
0.017041077837347984,
0.0006042605964466929
] |
We model short-duration (e.g. day) trading in financial markets as a
sequential decision-making problem under uncertainty, with the added
complication of continual concept-drift. We, therefore, employ meta
reinforcement learning via the RL2 algorithm. It is also known that human
traders often rely on frequently occurring symbolic patterns in price series.
We employ logical program induction to discover symbolic patterns that occur
frequently as well as recently, and explore whether using such features
improves the performance of our meta reinforcement learning algorithm. We
report experiments on real data indicating that meta-RL is better than vanilla
RL and also benefits from learned symbolic features. | [
-0.001399132888764143,
-0.08443889766931534,
-0.03461994603276253,
-0.040020108222961426,
-0.02001987397670746,
-0.0020164696034044027,
-0.047599975019693375,
0.034345030784606934,
-0.08742371201515198,
-0.010378129780292511,
0.048346176743507385,
0.01673068292438984,
0.019254032522439957,
-0.053333964198827744,
0.0012076726416125894,
0.05965706333518028,
0.019794048741459846,
0.04453660920262337,
-0.021168634295463562,
-0.07407058775424957,
-0.014266245998442173,
0.004901874344795942,
-0.029435791075229645,
0.029023416340351105,
-0.012017815373837948,
0.000012608687939064112,
-0.018282003700733185,
-0.029003778472542763,
-0.12143491208553314,
0.03672110289335251,
0.06574451923370361,
0.027098994702100754,
0.017565254122018814,
-0.015307004563510418,
-0.013490586541593075,
-0.018252547830343246,
0.0323813334107399,
0.03799750283360481,
-0.01107524149119854,
0.05353033170104027,
0.0036770193837583065,
0.02358398027718067,
-0.043436940759420395,
-0.03858661279082298,
0.006863114889711142,
0.002589623210951686,
-0.025037115439772606,
-0.01166434958577156,
-0.048581819981336594,
-0.060913827270269394,
-0.03740839660167694,
-0.03640691190958023,
0.05470855161547661,
0.010682501830160618,
-0.029416155070066452,
-0.029926715418696404,
0.03283298388123512,
-0.009116454981267452,
0.018566738814115524,
0.03550361096858978,
0.05694716423749924,
0.0020741531625390053,
-0.04987785965204239,
-0.009175365790724754,
0.05840029567480087,
-0.0729709193110466,
0.04072703793644905,
-0.011782171204686165,
0.022032661363482475,
-0.011487617157399654,
-0.05156663805246353,
-0.01649503968656063,
0.012960388325154781,
-0.00004310924850869924,
-0.00010117633064510301,
-0.0031394578982144594,
0.008252429775893688,
0.014050239697098732,
-0.014256427995860577,
0.014050239697098732,
0.021109724417328835,
0.043515488505363464,
-0.003902844386175275,
0.018920203670859337,
0.02741318568587303,
-0.02181665413081646,
0.04897455871105194,
-0.07980457693338394,
0.03491450101137161,
-0.020520616322755814,
-0.03293117135763168,
-0.0018201000057160854,
-0.008119880221784115,
0.03874370828270912,
-0.06358445435762405,
0.007648593280464411,
0.0031173662282526493,
-0.012224002741277218,
-0.07104649394750595,
-0.015768472105264664,
0.0022987506818026304,
0.0013389947125688195,
-0.056829340755939484,
-0.07367784529924393,
0.05757554620504379,
0.0068876612931489944,
-0.06272042542695999,
-0.003726111724972725,
-0.03145839646458626,
0.12504811584949493,
-0.006858205888420343,
-0.006023635156452656,
-0.00846843607723713,
-0.010142485611140728,
-0.07552371919155121,
-0.010466495528817177,
-0.030594373121857643,
-0.07827289402484894,
0.0359748974442482,
-0.043358393013477325,
0.037860043346881866,
0.0439474992454052,
0.02358398027718067,
-0.03096747398376465,
-0.011752716265618801,
0.05282340198755264,
0.005945087410509586,
0.0416303388774395,
0.028120115399360657,
0.04791416600346565,
-0.09567123651504517,
-0.03947027400135994,
-0.030456913635134697,
-0.035758890211582184,
-0.026784803718328476,
0.08797354996204376,
0.021463189274072647,
-0.02156137488782406,
0.008694260381162167,
-0.005004968494176865,
-0.012724745087325573,
-0.0596177875995636,
-0.018763108178973198,
-0.02731500193476677,
0.051016803830862045,
0.006465466693043709,
-0.0298088937997818,
0.03831169381737709,
-0.04763924703001976,
0.047010865062475204,
-0.03130130097270012,
0.07002536952495575,
-0.023191241547465324,
0.005729081109166145,
-0.015022268518805504,
0.02191483974456787,
0.006740383803844452,
-0.011575983837246895,
-0.00512033561244607,
-0.03375592082738876,
0.05804683268070221,
0.03106565959751606,
0.023289425298571587,
0.04029502719640732,
0.014786625280976295,
0.021620284765958786,
-0.033598825335502625,
-0.022877050563693047,
-0.10085538774728775,
0.04720723256468773,
-0.06413428485393524,
0.01739834062755108,
0.03789931908249855,
0.03516978397965431,
0.04139469563961029,
0.0312227550894022,
0.055101290345191956,
0.0007136805215850472,
-0.02572440728545189,
-0.0313405767083168,
-0.028218301013112068,
0.03230278566479683,
0.016917234286665916,
0.022680681198835373,
0.02990707941353321,
0.06409501284360886,
0.08161117881536484,
0.010967237874865532,
0.06107092276215553,
-0.02366252802312374,
-0.005935268942266703,
0.02323051542043686,
0.0213257297873497,
0.012626560404896736,
-0.039273906499147415,
0.014492071233689785,
-0.01835073158144951,
0.015896113589406013,
-0.0027835380751639605,
0.02806120552122593,
0.004187580198049545,
-0.09362898766994476,
0.016102300956845284,
-0.03055509738624096,
0.027020446956157684,
-0.04665739834308624,
0.026706255972385406,
0.0016090028220787644,
0.010024663992226124,
-0.08051150292158127,
0.025370942428708076,
-0.042101625353097916,
-0.048581819981336594,
0.029357243329286575,
-0.049838587641716,
0.006440920289605856,
0.03157621994614601,
0.022346852347254753,
-0.010633409954607487,
-0.03878298029303551,
0.03088892623782158,
0.009175365790724754,
0.035857073962688446,
-0.03679965063929558,
-0.03948991000652313,
0.061502937227487564,
-0.05521911010146141,
-0.0002474562788847834,
-0.02472292259335518,
-0.03149767220020294,
0.010819961316883564,
0.01190981175750494,
0.036858558654785156,
-0.01606302708387375,
-0.014030602760612965,
0.03141912445425987,
0.006431101821362972,
-0.02780592441558838,
0.056672245264053345,
-0.032283149659633636,
0.02774701453745365,
-0.04862109571695328,
-0.02774701453745365,
-0.010682501830160618,
0.01320585049688816,
-0.03279371187090874,
-0.00004495021130423993,
0.03291153162717819,
0.04752142354846001,
0.0313405767083168,
-0.04123760014772415,
-0.026529522612690926,
-0.011919630691409111,
-0.020186787471175194,
-0.050506241619586945,
0.0616600327193737,
0.03081037849187851,
-0.00970065500587225,
0.010515588335692883,
-0.01824272982776165,
0.04029502719640732,
0.012165091931819916,
0.050270598381757736,
0.03964700922369957,
-0.058675214648246765,
-0.0069171166978776455,
0.05506201460957527,
-0.005095789209008217,
0.00311491172760725,
-0.04940657317638397,
0.03283298388123512,
-0.05097752809524536,
-0.03206714242696762,
0.031163843348622322,
0.04324056953191757,
-0.08522437512874603,
0.026254605501890182,
-0.024585464969277382,
0.009739928878843784,
0.03866516053676605,
0.02680443972349167,
0.01465898472815752,
0.04331911727786064,
0.008021695539355278,
0.013097847811877728,
-0.009415918961167336,
-0.008075696416199207,
0.0015550011303275824,
-0.0662943497300148,
0.0291608739644289,
0.00982829462736845,
-0.050506241619586945,
-0.03039800189435482,
0.03937209025025368,
0.05078116059303284,
0.04563627764582634,
-0.05329468846321106,
0.031674403697252274,
0.005611259024590254,
-0.012047270312905312,
-0.022287940606474876,
-0.004396222997456789,
0.0032523702830076218,
0.02456582710146904,
-0.00034978322219103575,
0.007206761743873358,
0.023858897387981415,
0.03175295144319534,
-0.028611039742827415,
-0.046186111867427826,
-0.040255751460790634,
0.0044183144345879555,
0.04457588121294975,
0.02050097845494747,
-0.022798502817749977,
0.031694039702415466,
0.04897455871105194,
-0.036937106400728226,
0.02466401271522045,
-0.0049337842501699924,
0.04245509207248688,
0.01970568113029003,
-0.09708509594202042,
0.04948512092232704,
0.013726229779422283,
0.025037115439772606,
0.022013023495674133,
-0.004275946412235498,
-0.0773303210735321,
-0.01307821087539196,
-0.0472857803106308,
0.018007084727287292,
-0.0652732327580452,
0.01827218383550644,
-0.015208819881081581,
0.00837516039609909,
0.010348673909902573,
0.024938929826021194,
-0.03379519656300545,
-0.04280855506658554,
-0.025449490174651146,
-0.0016973690362647176,
-0.02541021630167961,
-0.046264659613370895,
0.0078351441770792,
-0.05380525067448616,
-0.012017815373837948,
0.024860382080078125,
-0.01215527392923832,
0.027098994702100754,
0.001043213065713644,
-0.036681827157735825,
0.04375113174319267,
0.009077181108295918,
0.07513098418712616,
-0.04681449383497238,
-0.015130272135138512,
-0.003357918933033943,
0.029514340683817863,
0.00014727714005857706,
-0.019175484776496887,
-0.04897455871105194,
-0.039097171276807785,
-0.009695745073258877,
0.007619137410074472,
0.05140954256057739,
-0.04049139469861984,
0.022621769458055496,
0.00885135680437088,
0.030123084783554077,
0.0014899538364261389,
0.02165955863893032,
0.05777191370725632,
-0.022621769458055496,
0.01960749737918377,
0.053255416452884674,
-0.00024131973623298109,
-0.016642317175865173,
-0.018085632473230362,
0.012724745087325573,
-0.03958809748291969,
-0.0020373337902128696,
-0.05368742719292641,
0.002886631991714239,
-0.0043913135305047035,
0.01860601268708706,
0.0037457486614584923,
-0.07454187422990799,
-0.005886176601052284,
0.024271273985505104,
0.033520277589559555,
-0.01220436580479145,
-0.009759565815329552,
0.023525068536400795,
0.06385937333106995,
0.021266819909214973,
0.04712868481874466,
0.002567531540989876,
0.027864836156368256,
0.027118630707263947,
-0.04583264887332916,
-0.0026927171275019646,
0.014737533405423164,
-0.01881220005452633,
-0.025685133412480354,
-0.009077181108295918,
-0.02199338749051094,
-0.008694260381162167,
-0.031517308205366135,
0.020874081179499626,
0.016966326162219048,
-0.03738875687122345,
-0.03638727217912674,
-0.02906269021332264,
0.0012555376160889864,
-0.012037452310323715,
-0.09355044364929199,
-0.006440920289605856,
-0.030692556872963905,
-0.06464485079050064,
-0.006102182902395725,
-0.011467980220913887,
0.01757507212460041,
0.046932317316532135,
-0.011674168519675732,
0.021286455914378166,
0.01369677484035492,
-0.022209392860531807,
-0.06393791735172272,
-0.013549497351050377,
0.037094201892614365,
0.045518457889556885,
0.03320608660578728,
-0.012675653211772442,
-0.0213257297873497,
0.006323098670691252,
-0.018743472173810005,
0.023957083001732826,
-0.06362372636795044,
-0.016868142411112785,
0.0007965238764882088,
-0.04170888662338257,
-0.04108050465583801,
-0.0012334460625424981,
0.014816081151366234,
-0.03342209383845329,
-0.007236217148602009,
-0.04473297670483589,
-0.018458735197782516,
0.02014751359820366,
-0.03666219115257263,
0.012125818058848381,
-0.045439910143613815,
0.04807126149535179,
0.058675214648246765,
-0.003394738072529435,
0.022955598309636116,
-0.04437951371073723,
0.06095309928059578,
0.004788961727172136,
0.045086443424224854,
0.03414865955710411,
0.022464673966169357,
-0.02849321812391281,
-0.029023416340351105,
0.009204821661114693,
0.001353722414933145,
-0.042926378548145294,
-0.01120288111269474,
0.000864025903865695,
-0.0411197803914547,
-0.06684418767690659,
0.0012592195998877287,
0.001800463069230318,
0.011242154985666275,
-0.010505769401788712,
0.027452459558844566,
-0.09284351021051407,
-0.010682501830160618,
0.0011659440351650119,
0.07159633189439774,
-0.023839261382818222,
0.043004926294088364,
0.012135636992752552,
0.043201297521591187,
0.01839982531964779,
0.06472339481115341,
0.021286455914378166,
0.002557713072746992,
0.03948991000652313,
-0.028846682980656624,
0.011418888345360756,
-0.034187935292720795,
0.01569974422454834,
-0.009062454104423523,
-0.008360432460904121,
-0.04000047221779823,
-0.025115663185715675,
0.03823314607143402,
-0.015100816264748573,
0.06433065980672836,
-0.04198380559682846,
0.015032087452709675,
0.038802620023489,
-0.014226972125470638,
0.017133241519331932,
0.00814442615956068,
0.01922457665205002,
0.012577468529343605,
-0.03234206140041351,
0.015336460433900356,
0.007000573445111513,
0.0010548725258558989,
-0.01911657303571701,
-0.008728625252842903,
0.025370942428708076,
-0.0051890648901462555,
0.0013439039466902614,
0.05765409395098686,
0.006342735607177019,
0.04355476051568985,
0.009253913536667824,
0.02464437484741211,
0.01989223249256611,
-0.035935621708631516,
0.028768135234713554,
0.05655442178249359,
-0.03240097314119339,
0.050859708338975906,
-0.010132667608559132,
-0.0140698766335845,
0.03903826326131821,
-0.03179222717881203,
-0.024389095604419708,
-0.013421856798231602,
-0.03304899111390114,
0.028552129864692688,
0.016848504543304443,
-0.01253819465637207,
-0.0554940290749073,
0.034266483038663864,
0.014050239697098732,
0.031674403697252274,
0.0028522673528641462,
0.022719955071806908,
-0.003274461952969432,
0.03996120020747185,
-0.02148282527923584,
-0.00959756039083004,
-0.0194013100117445,
0.010761050507426262,
0.0011303520295768976,
0.008360432460904121,
-0.048306904733181,
-0.0227395910769701,
-0.007403131108731031,
0.03499304875731468,
-0.004015756770968437,
-0.012685471214354038,
-0.009769383817911148,
0.04072703793644905,
-0.004506680648773909,
0.008213155902922153,
0.033363182097673416,
-0.0026706254575401545,
0.008424252271652222,
0.02613678388297558,
0.012273095548152924,
-0.03491450101137161,
-0.013598590157926083,
-0.02032424509525299,
0.02497820369899273,
-0.028336122632026672,
-0.016642317175865173,
0.00905754417181015,
0.014541163109242916,
0.007417859043926001,
0.01790890097618103,
-0.0056505328975617886,
-0.009504284709692001,
0.0025258029345422983,
0.014708077535033226,
0.02823793701827526,
-0.002626442350447178,
-0.010309400036931038,
-0.007182215340435505,
-0.033441729843616486,
-0.009155728854238987,
0.008885720744729042,
0.013510223478078842,
-0.026431338861584663,
0.03833132982254028,
0.0005277430755086243,
0.013775322586297989,
-0.008924994617700577,
0.02372143790125847,
0.013765503652393818,
-0.023544706404209137,
0.05769336596131325,
-0.00678947614505887,
0.007736959494650364,
0.02713826857507229,
-0.01553282979875803,
-0.00006109700188972056,
0.03297044336795807,
-0.009607379324734211,
0.06036399304866791,
-0.01898893341422081,
0.028768135234713554,
-0.0272364541888237,
0.005640714429318905,
0.007589682005345821,
0.008478254079818726,
0.012400735169649124,
0.019283488392829895,
0.005066333804279566,
0.023191241547465324,
0.025528037920594215,
-0.019715500995516777,
-0.028669951483607292,
0.02191483974456787,
-0.017997266724705696,
0.02764882892370224,
0.0021981114987283945,
-0.005355978850275278,
0.05973561108112335,
0.0069465721026062965,
-0.006116910837590694,
-0.011899993754923344,
-0.014079694636166096,
-0.02366252802312374,
-0.020599164068698883,
-0.006779657676815987,
-0.00780568877235055,
-0.005822356324642897,
0.018547100946307182,
-0.0003970346297137439,
0.020540252327919006,
0.058007556945085526,
0.002854722086340189,
-0.020854443311691284,
0.012813111767172813,
0.025842228904366493,
0.06362372636795044,
0.00518415542319417,
-0.026549160480499268,
-0.003419284475967288,
0.009121364913880825,
0.030672920867800713,
0.004668685607612133,
-0.009116454981267452,
0.0439474992454052,
0.0459897443652153,
0.032852623611688614,
-0.02788447216153145,
-0.030299818143248558,
-0.005301977042108774,
-0.028375396504998207,
-0.0030854560900479555,
-0.009651562198996544,
-0.00165073131211102,
0.0496029406785965,
0.014462615363299847,
0.014639347791671753,
0.037447668612003326,
-0.0006922025931999087,
0.002122018253430724,
0.014708077535033226,
0.010692320764064789,
0.03813496232032776,
-0.0258225928992033,
-0.019460219889879227,
-0.04579337313771248,
0.007192033808678389,
0.007746777962893248,
-0.0007455905433744192,
-0.01960749737918377,
0.05023132637143135,
0.02032424509525299,
-0.0066912914626300335,
-0.038684796541929245,
-0.022877050563693047,
0.019028207287192345,
-0.036112356930971146,
-0.0037162932567298412,
-0.015788109973073006,
-0.011634894646704197,
0.007938237860798836,
-0.05855739116668701,
-0.01895947754383087,
-0.03650509566068649,
-0.020795533433556557,
0.05282340198755264,
-0.0034119205083698034,
0.02289668656885624,
0.004106577951461077,
-0.011379614472389221,
0.005135063081979752,
0.0021416551899164915,
-0.004393768031150103,
0.01999041810631752,
-0.02240576222538948,
0.00030836151563562453,
0.049838587641716,
0.033952292054891586,
-0.030692556872963905,
0.015915749594569206,
-0.012390917167067528,
-0.04003974795341492,
-0.03375592082738876,
0.0070496657863259315,
-0.00726567255333066,
-0.005984361283481121,
0.03430575504899025,
0.07151778042316437,
-0.014276064932346344,
0.013510223478078842,
-0.011497436091303825,
-0.016720864921808243,
0.019636953249573708,
0.03381483256816864,
0.007830235175788403,
0.02165955863893032,
-0.011968722566962242,
-0.04716796055436134,
0.021443551406264305,
0.017584891989827156,
0.012950570322573185,
-0.01960749737918377,
-0.0093766450881958,
0.0188907478004694,
-0.025017477571964264,
0.008944631554186344,
0.004010847769677639,
-0.01752598024904728,
-0.0042710374109447,
-0.002242294605821371,
0.01600411720573902,
-0.005468891467899084,
-0.009013361297547817,
0.045439910143613815,
0.011006511747837067,
0.01914602890610695,
-0.010054119862616062,
-0.01545428205281496,
-0.0018556920113041997,
0.025861866772174835,
0.019254032522439957,
0.015228456817567348,
0.0006885206676088274,
0.027864836156368256,
-0.007810597773641348,
0.031595855951309204,
-0.018282003700733185,
-0.04807126149535179,
0.00756022660061717,
-0.004057485144585371,
0.008939722552895546,
0.03196895867586136,
-0.00004702129808720201,
0.008615712635219097,
-0.009204821661114693,
0.017849989235401154,
-0.03864552453160286,
0.054080165922641754,
0.011762534268200397,
-0.04473297670483589,
0.03499304875731468,
0.03450212627649307,
-0.012646197341382504,
0.018586374819278717,
-0.004212126135826111,
0.0227395910769701,
-0.0411197803914547,
0.007167487870901823,
-0.009435555897653103,
-0.011026148684322834,
0.004506680648773909,
-0.028434308245778084,
0.039175719022750854,
-0.040609218180179596,
-0.012675653211772442,
0.002533166902139783,
0.03895971551537514,
-0.0056505328975617886,
0.023525068536400795,
0.0010622363770380616,
-0.04752142354846001,
-0.007128213997930288,
0.007093849126249552,
0.01762416586279869,
0.004857691004872322,
-0.0011665576603263617,
-0.016377218067646027,
0.010859235189855099,
-0.01144834328442812,
-0.03338281810283661,
0.005031968932598829,
-0.016927052289247513,
0.014187698252499104,
0.02032424509525299,
0.022955598309636116,
-0.03666219115257263,
0.02764882892370224,
-0.00040869408985599875,
0.003836569609120488,
-0.021463189274072647,
-0.027963019907474518,
0.008326067589223385,
0.02464437484741211,
-0.009214639663696289,
0.02906269021332264,
-0.015562284737825394,
-0.009165547788143158,
0.018664922565221786,
0.0013807232026010752,
0.007339310832321644,
0.07171414792537689,
-0.02849321812391281,
-0.0068042040802538395,
0.009411009959876537,
-0.044850800186395645,
0.01161525771021843,
0.006008907686918974,
-0.04873891547322273,
-0.02199338749051094,
0.005213610827922821,
-0.029200147837400436,
-0.021463189274072647,
-0.02788447216153145,
0.01595502346754074,
0.033598825335502625,
0.00626418786123395,
-0.021541737020015717,
-0.039921924471855164,
0.04987785965204239,
0.0027319910004734993,
-0.0017648710636422038,
-0.021384641528129578,
0.038940075784921646,
-0.023014508187770844,
0.000900231534615159,
-0.016141574829816818,
-0.010721775703132153,
-0.04661812633275986,
-0.007280400022864342,
-0.007231307681649923,
0.020108239725232124,
-0.045361362397670746,
-0.00799223966896534,
0.01749652437865734,
-0.002394480863586068,
0.07088939845561981,
-0.015179364010691643,
-0.05565112456679344,
-0.005567076150327921,
0.017388520762324333,
0.06739401817321777,
-0.013667318969964981,
0.01107524149119854,
0.05569039657711983,
0.010878872126340866,
0.03399156406521797,
-0.03171367943286896,
0.05804683268070221,
-0.01749652437865734,
0.04457588121294975,
-0.020186787471175194,
-0.027432823553681374,
-0.030201632529497147,
0.02806120552122593,
0.009342280216515064,
-0.038193874061107635,
0.027000809088349342,
0.0035002867225557566,
-0.003966664429754019,
-0.0024165725335478783,
-0.011870537884533405,
0.03147803619503975,
-0.0016175939235836267,
0.05282340198755264,
-0.06727620214223862,
0.03324536234140396,
-0.02224866673350334,
0.023426884785294533,
0.0236428901553154,
-0.02299487218260765,
0.007093849126249552,
0.002947997534647584,
-0.03361846134066582,
-0.011683986522257328,
0.02523348480463028,
-0.0038439335767179728,
-0.012233821675181389,
-0.0023159331176429987,
0.017251063138246536,
-0.022425400093197823,
0.01166434958577156,
0.024114178493618965,
-0.011634894646704197,
-0.019764592871069908,
0.0025258029345422983,
0.03293117135763168,
0.009568105451762676,
0.041276875883340836,
-0.024173088371753693,
0.017565254122018814,
-0.02114899829030037,
0.03945063799619675,
-0.023878535255789757,
-0.003036363748833537,
-0.010407584719359875,
0.021934475749731064,
-0.03897935152053833,
0.054355084896087646,
0.016897598281502724,
-0.04528281092643738,
-0.019627133384346962,
-0.020108239725232124,
-0.0026117146480828524,
0.05812538042664528,
0.005900904070585966,
0.011949085630476475,
0.02083480730652809,
-0.011791990138590336,
0.018085632473230362,
0.021031176671385765,
0.022287940606474876,
0.0005243680207058787,
-0.03371664881706238,
-0.027963019907474518,
0.011870537884533405,
0.012116000056266785,
0.0179874487221241,
-0.0018581466283649206,
-0.010623591020703316,
0.03346136584877968,
0.018124908208847046,
-0.020461704581975937,
-0.030005263164639473,
-0.0477963425219059,
0.04100195690989494,
0.002493893029168248,
-0.012184728868305683,
0.0163183081895113,
-0.010014845989644527,
0.03532687947154045,
0.011919630691409111,
-0.017300155013799667,
-0.025606585666537285,
-0.015012450516223907,
-0.022366488352417946,
-0.03892043977975845,
-0.02914123795926571,
-0.025449490174651146,
-0.00846843607723713,
-0.025017477571964264,
-0.033520277589559555,
0.031203117221593857,
0.07171414792537689,
-0.019519131630659103,
0.010594136081635952,
-0.05820392817258835,
-0.0066912914626300335,
-0.04324056953191757,
-0.004482134245336056,
-0.03929354250431061,
0.021463189274072647,
-0.024860382080078125,
-0.001664231764152646,
0.03540542721748352,
0.0213257297873497,
-0.06048181280493736,
0.03348100557923317,
0.0017795988824218512,
0.007525862194597721,
-0.04198380559682846,
-0.006524377502501011,
-0.034757405519485474,
0.03137984871864319,
0.008252429775893688,
-0.031124569475650787,
0.015267730690538883,
0.024094540625810623,
-0.0066176531836390495,
-0.03489486500620842,
0.009695745073258877,
0.01690741628408432,
0.002228794153779745,
0.011929448693990707,
0.018851473927497864,
0.018674742430448532,
0.009185184724628925,
-0.020874081179499626,
-0.04783561825752258,
-0.011566164903342724,
-0.019666407257318497,
-0.014325156807899475,
0.04964221641421318,
-0.009887205436825752,
-0.029926715418696404,
0.01144834328442812,
-0.00967610813677311,
0.0000116498522402253,
0.031124569475650787,
0.016053209081292152,
0.021031176671385765,
0.009460101835429668,
-0.011330521665513515,
0.025115663185715675,
0.0020778351463377476,
0.02531203255057335,
-0.04897455871105194,
0.026097510010004044,
-0.009460101835429668,
0.016769956797361374,
0.012724745087325573,
-0.022111209109425545,
0.0236428901553154,
-0.01228291355073452,
0.04512571543455124,
-0.02874849922955036,
-0.013755685649812222,
0.010417403653264046
] |
We survey recent work on machine learning (ML) techniques for selecting
cutting planes (or cuts) in mixed-integer linear programming (MILP). Despite
the availability of various classes of cuts, the task of choosing a set of cuts
to add to the linear programming (LP) relaxation at a given node of the
branch-and-bound (B&B) tree has defied both formal and heuristic solutions to
date. ML offers a promising approach for improving the cut selection process by
using data to identify promising cuts that accelerate the solution of MILP
instances. This paper presents an overview of the topic, highlighting recent
advances in the literature, common approaches to data collection, evaluation,
and ML model architectures. We analyze the empirical results in the literature
in an attempt to quantify the progress that has been made and conclude by
suggesting avenues for future research. | [
-0.007242740131914616,
0.03709674999117851,
-0.034678153693675995,
-0.016790976747870445,
0.03869754821062088,
-0.011675383895635605,
-0.02799656055867672,
0.013250081799924374,
0.03295555338263512,
0.04137714207172394,
-0.010874984785914421,
-0.04576193541288376,
0.013972180895507336,
0.006255291402339935,
-0.0560627207159996,
-0.007447189651429653,
0.02429036609828472,
-0.03366895392537117,
0.009343787096440792,
-0.08338068425655365,
0.006925190333276987,
-0.019070373848080635,
-0.0018063350580632687,
0.07356709986925125,
0.01251058280467987,
-0.008765238337218761,
0.016399476677179337,
-0.032659754157066345,
-0.0805966854095459,
0.017147677019238472,
0.013911280781030655,
-0.001907472382299602,
-0.025090765208005905,
0.016268977895379066,
-0.031058957800269127,
-0.06385791301727295,
-0.002670896239578724,
0.040402743965387344,
-0.008160588331520557,
0.05397472530603409,
0.0014202730963006616,
0.0013484981609508395,
-0.04562273621559143,
-0.04704953357577324,
-0.015877477824687958,
-0.023837966844439507,
-0.046423137187957764,
-0.005598442163318396,
-0.013615481555461884,
-0.025438765063881874,
-0.02498636581003666,
-0.040681142359972,
0.04071594402194023,
-0.07516789436340332,
-0.03392995148897171,
-0.012345283292233944,
0.04235154017806053,
0.027370162308216095,
-0.005911641754209995,
0.029266759753227234,
-0.020671172067523003,
-0.023890167474746704,
0.0037736198864877224,
-0.017217276617884636,
0.01152748428285122,
-0.03492175042629242,
0.009926686063408852,
-0.011144684627652168,
0.04628393426537514,
-0.058324720710515976,
-0.05414872616529465,
-0.02188917063176632,
0.020914770662784576,
-0.0034756450913846493,
-0.015277178958058357,
0.027578961104154587,
-0.013302281498908997,
-0.007873489521443844,
-0.005341792479157448,
-0.015659978613257408,
0.026413163170218468,
0.04837193340063095,
0.015016179531812668,
-0.019731571897864342,
0.0699131041765213,
0.0008264988427981734,
0.02455136552453041,
-0.056271523237228394,
-0.018426574766635895,
-0.016660476103425026,
-0.024359965696930885,
0.04085514321923256,
0.006464091129601002,
0.00011840139632113278,
0.01664307713508606,
-0.009961485862731934,
0.02004477195441723,
-0.0231767687946558,
-0.00257954653352499,
0.04687553644180298,
0.008530338294804096,
0.016521276906132698,
0.0122147835791111,
0.023663967847824097,
0.02924935892224312,
-0.026204364374279976,
-0.07621189206838608,
0.016390778124332428,
-0.034643352031707764,
0.06288351118564606,
-0.03563515096902847,
0.0034604202955961227,
0.06594590842723846,
-0.007921339012682438,
-0.03775794804096222,
0.045692335814237595,
-0.045309536159038544,
-0.06034311652183533,
0.013154381886124611,
-0.03605274856090546,
0.013902580365538597,
0.0633707121014595,
-0.0012364857830107212,
-0.035843949764966965,
-0.08205828815698624,
0.04945073276758194,
-0.019157374277710915,
0.008786987513303757,
0.006981740240007639,
0.0008808737620711327,
-0.0231767687946558,
0.02571716532111168,
0.032363954931497574,
0.002681771293282509,
0.03862794488668442,
0.006451040972024202,
0.055714722722768784,
0.01964457333087921,
-0.02429036609828472,
-0.01113598421216011,
0.003438670188188553,
-0.009021887555718422,
-0.02665676362812519,
0.020340571179986,
0.021349770948290825,
-0.03720114752650261,
0.024185966700315475,
0.0329381562769413,
-0.031841956079006195,
0.05059913173317909,
-0.02735276147723198,
0.031807154417037964,
0.03091975674033165,
0.06222231313586235,
0.06939110159873962,
-0.016329877078533173,
-0.024829765781760216,
-0.02136716991662979,
0.002221759408712387,
-0.021019170060753822,
0.07523749768733978,
-0.011692783795297146,
-0.028100961819291115,
0.025908563286066055,
0.0455879382789135,
0.048789530992507935,
0.0077168894931674,
-0.023837966844439507,
-0.08414628356695175,
0.03782754763960838,
-0.01943577267229557,
-0.012284383177757263,
-0.04492673650383949,
0.010727085173130035,
-0.0019988222047686577,
-0.0248123649507761,
-0.014137480407953262,
0.03495655208826065,
0.02691776305437088,
0.006968690548092127,
-0.027491962537169456,
0.0009618924232199788,
0.007612489629536867,
0.03486955165863037,
0.0545315258204937,
0.0337037518620491,
0.022898368537425995,
0.007803888991475105,
0.057419922202825546,
0.031024158000946045,
0.022933168336749077,
0.04228194057941437,
-0.021436769515275955,
-0.004019394516944885,
0.0027491962537169456,
-0.03333835303783417,
-0.039532747119665146,
-0.0010483484948053956,
-0.030728356912732124,
0.044961538165807724,
-0.02051457203924656,
-0.038071148097515106,
-0.0005633241962641478,
0.04913753271102905,
-0.013815580867230892,
-0.0022293718066066504,
-0.0248123649507761,
-0.0536615252494812,
0.01240618247538805,
-0.07704709470272064,
0.002206534380093217,
0.02489936538040638,
-0.021036570891737938,
0.003175495658069849,
-0.029336359351873398,
-0.006681590806692839,
0.017043275758624077,
-0.02507336623966694,
-0.01835697516798973,
-0.051364727318286896,
0.052269529551267624,
0.0884614810347557,
0.0056549920700490475,
-0.0578027218580246,
-0.037688348442316055,
-0.02197616919875145,
0.01664307713508606,
0.014276680536568165,
0.03608755022287369,
0.03225955367088318,
0.06605030596256256,
0.004676243755966425,
-0.011057685129344463,
0.01879197359085083,
0.01148398406803608,
-0.023402968421578407,
0.01277158223092556,
-0.021488970145583153,
-0.018861573189496994,
-0.007255789823830128,
0.01629507727921009,
-0.048441532999277115,
-0.029614759609103203,
0.008056188933551311,
0.06831230223178864,
-0.04071594402194023,
0.026691563427448273,
-0.030937157571315765,
0.06124791502952576,
0.020497171208262444,
0.016956277191638947,
0.011231684125959873,
-0.004215144086629152,
-0.03509575128555298,
0.0014202730963006616,
-0.02846636064350605,
0.05842911824584007,
-0.024864565581083298,
-0.035878751426935196,
0.016738776117563248,
0.030519558116793633,
0.026517562568187714,
0.020932171493768692,
0.013745981268584728,
0.013867780566215515,
-0.02209796942770481,
0.018565773963928223,
-0.01053568534553051,
-0.00793438870459795,
0.02042757160961628,
-0.07342790067195892,
-0.048789530992507935,
0.025386564433574677,
-0.021471571177244186,
-0.05731552094221115,
-0.06872990727424622,
0.04423074051737785,
0.01849617436528206,
0.006089991424232721,
0.03405175358057022,
0.002681771293282509,
0.009178487583994865,
0.037514347583055496,
0.05470552295446396,
0.04433513805270195,
0.007303639780730009,
-0.025647563859820366,
-0.002189134480431676,
-0.04764113575220108,
-0.03396475315093994,
-0.01922697387635708,
0.012336582876741886,
-0.017008475959300995,
0.003114595776423812,
0.029179759323596954,
0.01707807555794716,
0.005228692665696144,
-0.06876470148563385,
-0.00770818954333663,
-0.01369378063827753,
-0.007090490311384201,
-0.033477552235126495,
0.029614759609103203,
0.05303512513637543,
-0.06406670808792114,
0.02253296971321106,
-0.01025728601962328,
0.046805936843156815,
-0.04109874367713928,
0.0083432886749506,
-0.017904575914144516,
-0.036400750279426575,
0.006546740885823965,
0.000022429656382882968,
-0.02046237140893936,
0.04729313403367996,
0.10147666186094284,
-0.006129141431301832,
-0.009395986795425415,
-0.056445520371198654,
0.04812833294272423,
-0.010874984785914421,
-0.08066628873348236,
-0.028309760615229607,
0.014659480191767216,
-0.026082564145326614,
-0.01646907813847065,
0.042247142642736435,
-0.028518561273813248,
0.002248946810141206,
-0.015146679244935513,
0.013571981340646744,
-0.06636350601911545,
-0.01122298464179039,
-0.042595140635967255,
-0.017513075843453407,
-0.024777565151453018,
0.015198878943920135,
-0.02314196713268757,
-0.0313025563955307,
-0.054670725017786026,
-0.01741737686097622,
-0.03720114752650261,
0.012310482561588287,
0.020758170634508133,
-0.050807930529117584,
-0.023107167333364487,
-0.02081037126481533,
-0.027422362938523293,
-0.02282876893877983,
0.0008090988849289715,
0.005563642363995314,
-0.019105173647403717,
0.02141937054693699,
0.037479549646377563,
-0.0037910197861492634,
-0.03699234873056412,
-0.000028020078389090486,
-0.019279172644019127,
0.035878751426935196,
0.031807154417037964,
-0.05822031944990158,
-0.008056188933551311,
0.0008042051340453327,
-0.036957550793886185,
0.07363669574260712,
0.0020053472835570574,
0.015251078642904758,
-0.015886178240180016,
0.007499389816075563,
-0.0015997103182598948,
0.04997273162007332,
0.07005230337381363,
0.004706693347543478,
-0.009987586177885532,
0.01905297301709652,
0.04506593942642212,
-0.01626027747988701,
-0.04489193856716156,
0.034121353179216385,
-0.004143369384109974,
0.01376338116824627,
-0.0002851964673027396,
-0.03170275688171387,
-0.07920469343662262,
0.020792970433831215,
-0.029405958950519562,
-0.022341569885611534,
-0.046423137187957764,
0.08525988459587097,
0.08372868597507477,
0.015207579359412193,
0.023855367675423622,
-0.022550368681550026,
0.044265538454055786,
-0.03295555338263512,
0.0174521766602993,
0.017565276473760605,
-0.00961348693817854,
-0.0463535375893116,
-0.007721239235252142,
0.006268341559916735,
0.004054194316267967,
0.02305496856570244,
0.025438765063881874,
0.007564639672636986,
-0.013476281426846981,
0.00675119087100029,
-0.005755042191594839,
0.007038290146738291,
0.0012701982632279396,
0.014763879589736462,
0.01581657864153385,
0.004571843892335892,
0.006659840699285269,
0.008747837506234646,
-0.010083286091685295,
-0.021697770804166794,
0.015633879229426384,
0.005380942486226559,
-0.015224979259073734,
0.03688794746994972,
0.023402968421578407,
-0.029823558405041695,
0.004117269534617662,
0.015338079072535038,
0.00642929133027792,
-0.008569488301873207,
-0.012371382676064968,
0.07614229619503021,
0.042073141783475876,
0.08414628356695175,
0.0004738774732686579,
-0.018287375569343567,
-0.0016084102680906653,
-0.013624181039631367,
-0.012606282718479633,
0.025577964261174202,
-0.029144959524273872,
0.006777290720492601,
0.05954271927475929,
-0.0020379722118377686,
-0.01680837757885456,
0.023037567734718323,
-0.03744474798440933,
0.005315692629665136,
-0.045727137476205826,
-0.03570475056767464,
-0.03702715039253235,
0.00479369331151247,
-0.07523749768733978,
-0.033599354326725006,
-0.0853990837931633,
-0.010178986005485058,
0.03340795263648033,
0.006298791151493788,
0.017921974882483482,
-0.03091975674033165,
0.014885679818689823,
0.012249583378434181,
-0.017617475241422653,
0.07113110274076462,
0.014441980049014091,
-0.04102914407849312,
-0.02747456170618534,
-0.03199855610728264,
-0.08498148620128632,
-0.032781556248664856,
0.01595577783882618,
-0.002971045905724168,
-0.011318684555590153,
-0.06584151089191437,
0.04833713173866272,
-0.009300286881625652,
0.02989315800368786,
0.008308488875627518,
0.0047719432041049,
-0.06942590326070786,
-0.0236117672175169,
-0.03121555596590042,
0.04913753271102905,
-0.033686354756355286,
0.005111243110150099,
-0.004258644301444292,
-0.05286112800240517,
-0.024412166327238083,
0.008186688646674156,
-0.007682089228183031,
0.028535960242152214,
-0.008617337793111801,
0.026935162022709846,
0.03323395550251007,
-0.040959544479846954,
-0.046249136328697205,
-0.021106170490384102,
0.04579673707485199,
-0.005607142113149166,
0.005363542586565018,
0.05634112283587456,
0.020827772095799446,
-0.0006046491907909513,
-0.04290834069252014,
-0.04906793311238289,
0.023890167474746704,
-0.00420209439471364,
-0.006816440727561712,
0.02154117077589035,
-0.01887897402048111,
0.039532747119665146,
-0.008230188861489296,
0.004367393907159567,
0.027665961533784866,
-0.018896372988820076,
-0.03346015512943268,
0.029527759179472923,
0.01319788210093975,
0.04833713173866272,
-0.021123571321368217,
-0.006855590734630823,
0.014494179747998714,
0.01680837757885456,
-0.02820536121726036,
0.022115370258688927,
0.023333366960287094,
-0.004058544524013996,
0.03556555137038231,
0.0578027218580246,
-0.04099434241652489,
0.06935630738735199,
0.008717387914657593,
-0.03118075616657734,
0.033216554671525955,
-0.02326376736164093,
-0.03319915384054184,
-0.012936881743371487,
-0.05084272846579552,
0.024377366527915,
0.0009977798908948898,
-0.014441980049014091,
-0.013345781713724136,
-0.047571536153554916,
0.012762882746756077,
0.021436769515275955,
-0.03908034786581993,
0.038975946605205536,
0.019557572901248932,
0.020671172067523003,
-0.040228743106126785,
0.014702979475259781,
-0.017399976029992104,
-0.038071148097515106,
0.02460356615483761,
0.0027013462968170643,
-0.017660975456237793,
-0.06340551376342773,
-0.050668731331825256,
0.020270971581339836,
-0.0569327212870121,
-0.0354437492787838,
0.02107137069106102,
0.0004298337735235691,
-0.025177765637636185,
0.02902315929532051,
0.05804631859064102,
-0.015712177380919456,
-0.05077312886714935,
0.03358195349574089,
0.04367394000291824,
-0.05387032404541969,
0.02124537155032158,
-0.00738629000261426,
0.009422087110579014,
-0.010344285517930984,
0.006255291402339935,
-0.023803167045116425,
0.06723351031541824,
0.03744474798440933,
0.008373738266527653,
-0.016442976891994476,
-0.029057959094643593,
-0.01318048220127821,
-0.012162582948803902,
0.026987362653017044,
-0.03118075616657734,
0.01964457333087921,
-0.031928956508636475,
-0.03161575645208359,
0.0019096473697572947,
-0.0029340710025280714,
-0.0041237943805754185,
-0.024707965552806854,
0.04945073276758194,
-0.06257031112909317,
-0.027143962681293488,
0.016669176518917084,
0.03518275171518326,
0.020862571895122528,
-0.010657485574483871,
0.00675989082083106,
-0.029997559264302254,
0.04993792995810509,
0.01703457720577717,
0.025786764919757843,
0.02352476678788662,
-0.0050938427448272705,
0.012066883035004139,
0.033477552235126495,
0.011570983566343784,
0.001763922511599958,
-0.01191028393805027,
0.00799528881907463,
-0.019035574048757553,
0.026500163599848747,
-0.004006344359368086,
0.036574751138687134,
0.01724337600171566,
0.019592372700572014,
0.006277041509747505,
0.006746840663254261,
-0.029214559122920036,
0.010004986077547073,
-0.01826997473835945,
0.022776568308472633,
-0.009874486364424229,
0.00903058797121048,
0.05188672989606857,
0.0059812418185174465,
0.015390278771519661,
0.006733790505677462,
-0.008351988159120083,
-0.02954516001045704,
-0.00870868843048811,
-0.010544385761022568,
-0.04892873391509056,
0.03013675846159458,
0.001796547556295991,
-0.05275672674179077,
0.015077078714966774,
-0.011953783221542835,
0.00833893846720457,
-0.057907119393348694,
-0.03027595765888691,
0.004349994007498026,
0.048406731337308884,
0.0004915493191219866,
0.03779274597764015,
-0.01594707742333412,
-0.0025447465013712645,
0.06037791818380356,
0.03165055811405182,
-0.019070373848080635,
0.024568766355514526,
0.017478276044130325,
0.03135475516319275,
-0.013798180967569351,
-0.01339798141270876,
-0.0021304094698280096,
0.019070373848080635,
0.03504355251789093,
0.018374374136328697,
-0.03573955222964287,
0.03057175688445568,
-0.018548374995589256,
-0.0022087094839662313,
0.0011483983835205436,
0.04189914092421532,
-0.010683584958314896,
0.03925434499979019,
-0.009074087254703045,
0.039463143795728683,
-0.03995034471154213,
0.016964975744485855,
-0.03121555596590042,
0.022132769227027893,
0.021941369399428368,
-0.02068857103586197,
-0.020653771236538887,
0.03744474798440933,
0.004972042981535196,
-0.0024903714656829834,
0.0016529976855963469,
-0.017269475385546684,
-0.007086140103638172,
-0.023750966414809227,
-0.008095338940620422,
-0.009596087038516998,
-0.04019394516944885,
-0.006316191051155329,
-0.027752961963415146,
0.018896372988820076,
-0.019679373130202293,
-0.030676158145070076,
-0.012588882818818092,
-0.04228194057941437,
-0.01117948442697525,
0.008699988014996052,
-0.027665961533784866,
-0.0047153932973742485,
0.035321950912475586,
-0.04743233323097229,
0.013476281426846981,
0.003725769929587841,
-0.01995777152478695,
0.0005763741792179644,
-0.015894878655672073,
0.014494179747998714,
-0.00667724059894681,
-0.011945083737373352,
-0.04214274138212204,
-0.03351235389709473,
0.0037344698794186115,
0.04085514321923256,
0.0171215757727623,
0.04489193856716156,
0.0576983205974102,
-0.018130775541067123,
0.036783549934625626,
0.010405185632407665,
0.0095699867233634,
0.01271068211644888,
0.03845394775271416,
0.06437990814447403,
0.006368391215801239,
-0.06946070492267609,
-0.06302271038293839,
0.02429036609828472,
0.029092758893966675,
-0.013284881599247456,
0.009622186422348022,
-0.0014485480496659875,
-0.026674162596464157,
-0.030954556539654732,
-0.06625910848379135,
0.007464589551091194,
0.018426574766635895,
-0.03908034786581993,
0.005511442199349403,
0.032224755734205246,
-0.016564777120947838,
-0.04033314436674118,
0.016703976318240166,
-0.030258558690547943,
-0.02408156730234623,
-0.041725143790245056,
-0.0122147835791111,
0.022602569311857224,
0.035461150109767914,
-0.044056739658117294,
0.04092474281787872,
0.00476324325427413,
0.07217510044574738,
0.01703457720577717,
0.058846719563007355,
0.006990440189838409,
-0.036922749131917953,
-0.01981857232749462,
-0.01446808036416769,
-0.005533192306756973,
0.02648276276886463,
-0.03671395033597946,
-0.0528959259390831,
0.02416856586933136,
0.025316964834928513,
-0.02528216503560543,
0.035843949764966965,
0.01303258165717125,
0.020914770662784576,
-0.008112738840281963,
0.004247769247740507,
0.005828991997987032,
-0.018043775111436844,
0.038245148956775665,
0.05178232863545418,
-0.023194167762994766,
-0.06695510447025299,
-0.006946940440684557,
-0.028657760471105576,
-0.03048475831747055,
-0.013885180465877056,
0.02549096569418907,
-0.03354715183377266,
0.029353760182857513,
0.007903939113020897,
-0.00795613881200552,
0.014120080508291721,
0.009491686709225178,
0.019487973302602768,
-0.06987830251455307,
-0.002353346673771739,
-0.016416877508163452,
0.025177765637636185,
-0.003160270629450679,
-0.04854593425989151,
-0.005328742787241936,
0.03436495363712311,
-0.006942590232938528,
-0.018374374136328697,
0.005467942450195551,
-0.040054745972156525,
-0.012519282288849354,
0.05950791761279106,
0.004121619276702404,
0.02937115915119648,
0.015425078570842743,
0.010422585532069206,
-0.02957995980978012,
-0.014137480407953262,
-0.05380072444677353,
0.02072337083518505,
-0.001382210641168058,
0.0488591343164444,
0.002636096440255642,
-0.0479891337454319,
0.006290091201663017,
0.036922749131917953,
0.010292085818946362,
-0.01309348177164793,
0.03528715297579765,
-0.05143433064222336,
0.0011146859033033252,
-0.021297570317983627,
-0.00808228924870491,
0.015642577782273293,
-0.0019172598840668797,
-0.06253551691770554,
0.012475783005356789,
-0.03615714982151985,
-0.022289369255304337,
0.015164079144597054,
-0.013563280925154686,
0.029057959094643593,
0.04433513805270195,
-0.04520513862371445,
-0.007468939758837223,
0.009317686781287193,
0.030937157571315765,
-0.05905551835894585,
0.013919981196522713,
-0.007199239917099476,
0.032572753727436066,
-0.03135475516319275,
-0.009822286665439606,
-0.015425078570842743,
-0.032276954501867294,
0.004563143476843834,
0.03279895335435867,
0.0021369345486164093,
0.0030906707979738712,
0.005650642327964306,
0.058463919907808304,
-0.0341387540102005,
-0.031024158000946045,
-0.013363181613385677,
0.061561115086078644,
-0.035669948905706406,
-0.028779560700058937,
0.02747456170618534,
0.01408528070896864,
-0.016103677451610565,
-0.019366173073649406,
-0.0005277086747810245,
-0.005015543196350336,
0.0029210210777819157,
-0.033947352319955826,
0.01922697387635708,
-0.0276485625654459,
0.0001389279350405559,
-0.017399976029992104,
-0.04656233638525009,
-0.03772314637899399,
-0.007621189579367638,
0.011570983566343784,
-0.0015040104044601321,
0.04381313920021057,
-0.021088771522045135,
-0.01541637908667326,
-0.03573955222964287,
0.04941593110561371,
-0.008134488947689533,
-0.018931174650788307,
-0.0036083199083805084,
-0.01090108510106802,
0.028135761618614197,
0.00636404100805521,
0.006829490419477224,
-0.016956277191638947,
0.010631385259330273,
-0.057907119393348694,
0.01511187944561243,
0.003382120281457901,
-0.007764739450067282,
0.0585683174431324,
0.020027372986078262,
0.014894379302859306,
0.031754955649375916,
-0.007834339514374733,
-0.02007957175374031,
0.001959672197699547,
-0.01776537485420704,
0.016094977036118507,
-0.023837966844439507,
-0.040820345282554626,
-0.06437990814447403,
0.018391774967312813,
0.03793194890022278,
-0.006111741531640291,
0.035878751426935196,
-0.02575196512043476,
0.01621677726507187,
-0.00990928616374731,
-0.019731571897864342,
-0.014868279919028282,
0.004015044309198856,
-0.026674162596464157,
0.02524736523628235,
0.0320681557059288,
-0.055575523525476456,
-0.04367394000291824,
-0.022689567878842354,
0.0026513212360441685,
0.02717876248061657,
0.027126561850309372,
0.017486976459622383,
0.009561287239193916,
-0.0528959259390831,
0.028309760615229607,
0.003973719663918018,
0.0326075553894043,
0.04064634442329407,
0.0053983423858881,
-0.06973910331726074,
0.0026230462826788425,
0.024829765781760216,
-0.0095438864082098,
0.06591110676527023,
-0.014172280207276344,
0.015877477824687958,
0.018339574337005615,
-0.011623184196650982,
-0.005528842564672232,
-0.07600309699773788,
0.03591354936361313,
0.02382056787610054,
-0.0059986417181789875,
0.021575970575213432,
-0.012945582158863544,
0.012736782431602478,
0.015016179531812668,
-0.018809374421834946,
0.041342344135046005,
-0.0013300107093527913,
0.010787985287606716,
0.012928182259202003,
0.0044848439283668995,
-0.04367394000291824,
0.026726363226771355,
-0.016616977751255035,
0.016738776117563248,
-0.011562284082174301,
0.017521776258945465,
0.027335362508893013,
-0.006781640462577343,
-0.024446966126561165,
-0.024620965123176575,
-0.03276415541768074,
0.013728581368923187,
-0.018478775396943092,
-0.053765926510095596,
-0.015251078642904758,
-0.03062395751476288,
0.034034352749586105,
-0.04071594402194023,
-0.03349495306611061,
0.04196874052286148,
0.023837966844439507,
-0.00397806940600276,
-0.0061639416962862015,
0.013963480480015278,
0.009700486436486244,
0.029301559552550316,
0.0333731546998024,
-0.005372242536395788,
-0.07509829849004745,
-0.0001812044356483966,
-0.009561287239193916,
0.02966695837676525,
0.04381313920021057,
0.0031450456008315086,
0.025090765208005905,
0.002346821827813983,
0.026882963255047798,
-0.0033603704068809748,
0.02004477195441723,
-0.03908034786581993,
-0.036957550793886185,
-0.06131751462817192,
0.030328158289194107,
-0.023037567734718323,
0.026430564001202583,
0.005937741603702307,
-0.029144959524273872,
-0.026221763342618942,
0.013015181757509708,
-0.008569488301873207,
0.033042553812265396,
0.016373377293348312,
0.006246591452509165,
-0.024568766355514526,
0.02274176850914955,
0.036400750279426575,
-0.0038018948398530483,
0.027370162308216095,
-0.002425121609121561,
0.02752676233649254,
0.006011691875755787,
0.027509361505508423,
0.005180842708796263,
0.026117363944649696,
0.0357743501663208,
-0.04033314436674118,
0.023924967274069786,
-0.030171558260917664,
-0.021436769515275955,
-0.01445068046450615
] |
Understanding the skill sets and knowledge required for any career is of
utmost importance, but it is increasingly challenging in today's dynamic world
with rapid changes in terms of the tools and techniques used. Thus, it is
especially important to be able to accurately identify the required skill sets
for any job for better career insights and development. In this paper, we
propose and develop the Skill Recommendation (SkillRec) system for recommending
the relevant job skills required for a given job based on the job title.
SkillRec collects and identify the skill set required for a job based on the
job descriptions published by companies hiring for these roles. In addition to
the data collection and pre-processing capabilities, SkillRec also utilises
word/sentence embedding techniques for job title representation, alongside a
feed-forward neural network for job skill recommendation based on the job title
representation. Based on our preliminary experiments on a dataset of 6,000 job
titles and descriptions, SkillRec shows a promising performance in terms of
accuracy and F1-score. | [
0.0440400205552578,
-0.008687254972755909,
-0.014716343954205513,
-0.026061763986945152,
0.03552047535777092,
0.021332409232854843,
0.024602707475423813,
0.005597241688519716,
-0.025407705456018448,
-0.030573099851608276,
0.04474439471960068,
-0.014481552876532078,
0.030137060210108757,
-0.004855135455727577,
0.013961659744381905,
0.05946912243962288,
0.015471028164029121,
0.0060626305639743805,
0.008712410926818848,
-0.06322577595710754,
-0.028912793844938278,
-0.03823733702301979,
0.016829458996653557,
-0.0096096470952034,
-0.007697779685258865,
0.02126532606780529,
0.03426266834139824,
-0.02099699340760708,
-0.0565510094165802,
0.03402787819504738,
0.0075258794240653515,
-0.011697606183588505,
0.0009548852685838938,
-0.023479066789150238,
-0.008628557436168194,
-0.04323502629995346,
0.04434189572930336,
0.09706917405128479,
-0.03649317845702171,
-0.014791811816394329,
0.006737653631716967,
0.004440059419721365,
-0.008620171807706356,
-0.00543372705578804,
0.02181876078248024,
-0.04045107960700989,
-0.03271975740790367,
-0.07721258699893951,
-0.048065003007650375,
-0.03099236823618412,
0.02366354502737522,
-0.04903770983219147,
0.0770784243941307,
-0.002892956370487809,
-0.04427481070160866,
0.04494564235210419,
0.028896022588014603,
-0.02406604401767254,
0.030237684026360512,
0.07607217878103256,
-0.00858663022518158,
0.06030765920877457,
-0.03531922399997711,
-0.05896599963307381,
0.033575065433979034,
-0.05353227257728577,
0.035855889320373535,
-0.01740805059671402,
-0.006402238272130489,
-0.0012703852262347937,
-0.04031691327691078,
0.017626071348786354,
0.040618784725666046,
0.0006917939172126353,
-0.028694774955511093,
0.007144344504922628,
-0.014791811816394329,
0.03292100504040718,
0.0039264545775949955,
0.004863521084189415,
0.04346981644630432,
0.0022368005011230707,
0.021869074553251266,
0.0299358107149601,
0.00921553373336792,
-0.0023374250158667564,
-0.009819281287491322,
-0.06889428943395615,
0.029348833486437798,
0.00013206974836066365,
-0.09981957823038101,
-0.006699919700622559,
0.013886190950870514,
-0.005647554062306881,
-0.036727968603372574,
0.01898450218141079,
0.013592702336609364,
-0.012980570085346699,
-0.029130814597010612,
0.05336456373333931,
0.011244796216487885,
-0.01716487482190132,
0.04823271185159683,
-0.06748554855585098,
0.0069347103126347065,
-0.07506593316793442,
-0.04504626616835594,
-0.0030879166442900896,
-0.007337208371609449,
0.09311126917600632,
-0.017709925770759583,
-0.014053898863494396,
-0.0010329741053283215,
0.000047855632146820426,
0.016284409910440445,
0.008595015853643417,
-0.03491672873497009,
-0.0633934810757637,
0.031914759427309036,
-0.05051353573799133,
0.04726000875234604,
0.024602707475423813,
0.009483866393566132,
-0.041524406522512436,
-0.08164007216691971,
0.045784179121255875,
0.010699746198952198,
0.01992366462945938,
0.019521167501807213,
0.037197548896074295,
0.007601347751915455,
0.020057830959558487,
-0.001503079547546804,
0.05024520307779312,
0.008326683193445206,
0.011018390767276287,
0.03780129924416542,
0.06855887919664383,
-0.03134455531835556,
-0.04162503033876419,
-0.04068586975336075,
-0.028644461184740067,
-0.03884108364582062,
-0.018246589228510857,
0.07754800468683243,
-0.035419851541519165,
0.030388621613383293,
0.04004858061671257,
-0.0007384376367554069,
0.024669790640473366,
-0.06594263762235641,
0.056249137967824936,
-0.01590706780552864,
0.0634605661034584,
0.03635901212692261,
-0.044710852205753326,
-0.00021356517390813679,
0.023177193477749825,
-0.005840417928993702,
0.06564076244831085,
0.04722646623849869,
-0.03271975740790367,
-0.005450497847050428,
0.021751679480075836,
0.032552048563957214,
0.0009742764523252845,
-0.0066789560951292515,
1.2283273065349931e-8,
-0.11518159508705139,
0.019403772428631783,
-0.037633590400218964,
0.003907587379217148,
0.00858663022518158,
0.009928291663527489,
0.039947956800460815,
-0.017508676275610924,
0.05812746286392212,
-0.045817721635103226,
-0.05470622703433037,
-0.033491212874650955,
-0.024938123300671577,
0.050949577242136,
0.006196796428412199,
-0.007094032596796751,
0.05675226077437401,
-0.0006079401355236769,
0.063326396048069,
0.00025405085762031376,
0.022623758763074875,
-0.035587556660175323,
0.004796437919139862,
-0.01380233746021986,
-0.032317258417606354,
0.03887462615966797,
0.026749365031719208,
-0.02701769769191742,
-0.0203261636197567,
0.053062692284584045,
0.036090679466724396,
-0.00892204511910677,
-0.03253527730703354,
-0.05289498344063759,
-0.018213048577308655,
0.04957437142729759,
0.008263792842626572,
0.053062692284584045,
0.035587556660175323,
-0.0028845712076872587,
0.010758443735539913,
-0.062320154160261154,
-0.0064986702054739,
-0.011211254633963108,
-0.033373817801475525,
-0.004140282049775124,
-0.002232607686892152,
-0.008557281456887722,
-0.008628557436168194,
0.03464839607477188,
-0.003653929801657796,
-0.027436966076493263,
0.011286723427474499,
0.0003031839441973716,
0.07781633734703064,
0.022271571680903435,
0.027084780856966972,
-0.0001449098635930568,
-0.027889776974916458,
-0.03146195039153099,
-0.00004736430128104985,
0.0010114866308867931,
0.005043806508183479,
-0.02299271523952484,
-0.004578418098390102,
0.011018390767276287,
0.01890064962208271,
-0.01933668926358223,
-0.016351493075489998,
-0.04209461435675621,
-0.07332177460193634,
-0.005349873099476099,
0.061850570142269135,
-0.02243928052484989,
0.001187579589895904,
-0.02768852934241295,
0.06040828675031662,
-0.060743700712919235,
-0.04229586198925972,
0.024954894557595253,
0.03867337852716446,
-0.011387347243726254,
-0.04414064437150955,
-0.03491672873497009,
0.020762203261256218,
0.04772958904504776,
0.008771108463406563,
0.041256073862314224,
0.08459172397851944,
0.004393939860165119,
0.057825587689876556,
-0.035855889320373535,
0.0021843917202204466,
-0.053968314081430435,
0.017391281202435493,
0.007224005647003651,
-0.0035470162983983755,
-0.01431384589523077,
0.058026839047670364,
-0.011647294275462627,
0.037197548896074295,
-0.0074881454929709435,
0.03619130328297615,
-0.016904927790164948,
0.0033583452459424734,
-0.036761511117219925,
-0.019621791318058968,
-0.060978490859270096,
0.060274120420217514,
-0.03890816867351532,
0.013357912190258503,
-0.016326336190104485,
0.0032241791486740112,
-0.010917766019701958,
0.042396485805511475,
0.07265093922615051,
-0.09364793449640274,
0.0024087007623165846,
0.016611440107226372,
-0.03602359816431999,
0.026413951069116592,
0.014900822192430496,
-0.004930604249238968,
0.005001879762858152,
-0.029633937403559685,
0.029583623632788658,
0.013768795877695084,
-0.005920079071074724,
-0.03169674053788185,
-0.012410364113748074,
0.043369192630052567,
-0.03642609715461731,
-0.006263879593461752,
-0.020778974518179893,
-0.012091719545423985,
0.02897987700998783,
-0.01413775235414505,
-0.02071189135313034,
-0.02363000437617302,
0.04477793350815773,
-0.009685114957392216,
-0.04145732522010803,
0.026330096647143364,
0.04145732522010803,
0.005505002569407225,
-0.008477619849145412,
0.03397756442427635,
0.036727968603372574,
0.021399492397904396,
0.019487624987959862,
-0.024233750998973846,
-0.06201827898621559,
-0.028124568983912468,
-0.011211254633963108,
-0.058228086680173874,
0.03292100504040718,
0.024820728227496147,
0.006112942937761545,
0.003186444751918316,
0.05728892236948013,
0.015839984640479088,
-0.03008674830198288,
-0.01858200505375862,
0.0072072348557412624,
-0.03800254687666893,
-0.055108726024627686,
0.03746588155627251,
0.013735254295170307,
0.004775474313646555,
0.034245897084474564,
-0.016041234135627747,
-0.08452463895082474,
0.025843745097517967,
0.01807888224720955,
-0.030975596979260445,
0.02713509276509285,
0.025172913447022438,
-0.01799502782523632,
-0.002074333606287837,
0.021483346819877625,
0.0064483582973480225,
0.019621791318058968,
0.000836965860798955,
-0.030707266181707382,
-0.023479066789150238,
-0.004578418098390102,
0.003930647391825914,
-0.031881220638751984,
-0.031797364354133606,
-0.0049347965978085995,
0.02181876078248024,
0.029684249311685562,
-0.012242656201124191,
-0.04185982421040535,
-0.020963452756404877,
0.018397526815533638,
-0.04846750199794769,
-0.02678290754556656,
0.020644808188080788,
0.018213048577308655,
0.0441741868853569,
-0.014808583073318005,
-0.0011393636232241988,
-0.004310085903853178,
0.03780129924416542,
-0.049406666308641434,
-0.07862133532762527,
-0.0048970626667141914,
-0.041323158890008926,
0.015554881654679775,
-0.012888330966234207,
0.05118436738848686,
0.03998149558901787,
-0.015152383595705032,
0.02520645596086979,
0.009408397600054741,
-0.02871154434978962,
0.019957207143306732,
0.011739533394575119,
-0.000041501083615003154,
-0.050547078251838684,
0.04112190753221512,
0.020225539803504944,
-0.008402151986956596,
-0.016644980758428574,
-0.06969928741455078,
0.02079574577510357,
0.0030753384344279766,
-0.014129366725683212,
-0.02044355869293213,
0.08841545879840851,
0.007710358127951622,
-0.06305806338787079,
-0.008414729498326778,
-0.011991094797849655,
0.0475618802011013,
-0.025458017364144325,
-0.026447491720318794,
-0.011555055156350136,
-0.05376706272363663,
0.010364331305027008,
0.015655506402254105,
0.03225017711520195,
0.005266019143164158,
0.001520898542366922,
0.008284756913781166,
0.024384688585996628,
0.01256130076944828,
0.04551585018634796,
0.03412850201129913,
-0.0006126569351181388,
0.005006072577089071,
-0.034715477377176285,
-0.014909207820892334,
0.05497455969452858,
0.04501272737979889,
-0.05272727459669113,
0.01603284850716591,
0.007802597247064114,
0.017190031707286835,
0.03017060086131096,
-0.06389660388231277,
-0.01752544566988945,
0.017223572358489037,
0.054136019200086594,
-0.014699572697281837,
0.07077261805534363,
-0.017508676275610924,
0.05004395544528961,
0.005207321606576443,
-0.014011971652507782,
0.0026602621655911207,
-0.031998615711927414,
-0.029130814597010612,
-0.047360632568597794,
-0.01254453044384718,
-0.0041822087951004505,
0.016452116891741753,
0.04269836097955704,
0.008473427966237068,
0.04236294701695442,
-0.053934771567583084,
-0.054370809346437454,
0.029633937403559685,
-0.08204256743192673,
0.005207321606576443,
0.0792921632528305,
-0.007475567050278187,
-0.011001620441675186,
0.0006724027334712446,
-0.008481812663376331,
-0.009265846572816372,
-0.06577493250370026,
0.041524406522512436,
-0.043536897748708725,
-0.025374162942171097,
-0.01965533383190632,
0.012418749742209911,
-0.07332177460193634,
-0.04544876515865326,
0.014816968701779842,
0.021567199379205704,
0.019286377355456352,
-0.02240573801100254,
0.01701393909752369,
0.036727968603372574,
-0.004018693696707487,
0.030942056328058243,
0.013810723088681698,
-0.03317256644368172,
0.04960791394114494,
0.022422509267926216,
0.01843106746673584,
0.038975249975919724,
0.00034589695860631764,
0.012209114618599415,
0.008972357958555222,
-0.009232304990291595,
0.015328476205468178,
0.0020282140467315912,
0.04075295105576515,
-0.05386768653988838,
0.03964608162641525,
-0.023562921211123466,
-0.044677309691905975,
-0.041054826229810715,
-0.01403712760657072,
-0.01096807885915041,
-0.021516887471079826,
0.0192192941904068,
0.07573676109313965,
-0.011513127945363522,
0.004955760203301907,
0.041524406522512436,
0.008138012140989304,
0.01370171271264553,
-0.0018825180595740676,
0.023646775633096695,
-0.005232478026300669,
-0.039478372782468796,
0.008687254972755909,
-0.00807512179017067,
0.016217326745390892,
0.035889431834220886,
-0.011605367064476013,
0.027789153158664703,
-0.006494477856904268,
0.0248878113925457,
0.028443213552236557,
0.0158651415258646,
0.005836225114762783,
0.018062110990285873,
-0.009106524288654327,
0.028694774955511093,
-0.03592297434806824,
-0.001106870360672474,
-0.03830442205071449,
0.02752082049846649,
0.03230048716068268,
0.028091026470065117,
0.02433437667787075,
-0.017743466421961784,
-0.025860514491796494,
-0.008188324980437756,
-0.010263706557452679,
-0.009601261466741562,
0.01101000513881445,
0.042664818465709686,
0.029080500826239586,
0.018816795200109482,
-0.02602822333574295,
-0.025491558015346527,
-0.027084780856966972,
0.03260236233472824,
-0.0028049100656062365,
-0.016125088557600975,
-0.016863001510500908,
-0.0038216374814510345,
0.039042335003614426,
-0.035889431834220886,
0.020191997289657593,
0.01625925488770008,
0.0265816580504179,
-0.017944715917110443,
0.02795686013996601,
-0.028694774955511093,
-0.0022556674666702747,
-0.0017420629737898707,
-0.005064770113676786,
-0.05208998918533325,
0.0004585755232255906,
-0.007156922947615385,
-0.04836687818169594,
-0.016292795538902283,
-0.022573446854948997,
-0.0016267639584839344,
0.0215001180768013,
-0.005815261974930763,
0.05242540314793587,
0.04883645847439766,
0.03032153844833374,
0.03689567744731903,
-0.002532385056838393,
-0.0008180987206287682,
-0.00032598170218989253,
0.003341574454680085,
-0.01599092222750187,
0.030371850356459618,
-0.024669790640473366,
-0.03914295881986618,
0.000940210884436965,
0.021919386461377144,
-0.015512955375015736,
-0.037432342767715454,
-0.007899029180407524,
0.04142378270626068,
0.01137896254658699,
0.04450960457324982,
-0.03568818047642708,
-0.01819627732038498,
0.005756563972681761,
-0.021567199379205704,
-0.013064423575997353,
0.02736988477408886,
-0.027654986828565598,
0.041759196668863297,
-0.08103632181882858,
0.016435347497463226,
0.010070842690765858,
0.007370749954134226,
0.05024520307779312,
-0.04880291968584061,
0.031797364354133606,
0.02792331948876381,
0.010012145154178143,
0.03402787819504738,
-0.02626301348209381,
0.04269836097955704,
0.064567431807518,
0.01006245706230402,
0.027587903663516045,
0.001713762292638421,
-0.03265267238020897,
-0.01403712760657072,
0.06205182150006294,
-0.03043893352150917,
0.029466228559613228,
-0.0005356162437237799,
0.04890354350209236,
0.018028568476438522,
0.0055511221289634705,
-0.0036057138349860907,
-0.03568818047642708,
0.026514574885368347,
0.0566180944442749,
-0.009408397600054741,
0.008645327761769295,
0.02929852157831192,
0.014699572697281837,
-0.030304767191410065,
0.0033583452459424734,
-0.0022242222912609577,
-0.06235369294881821,
0.03414527326822281,
-0.020292622968554497,
-0.026246242225170135,
-0.0065112486481666565,
0.006159062497317791,
-0.0015638736076653004,
0.015387174673378468,
0.046958133578300476,
0.019236063584685326,
-0.0005497665260918438,
0.01681268960237503,
-0.011898855678737164,
0.11820033192634583,
0.0002220815804321319,
0.002544963266700506,
-0.026162389665842056,
-0.04367106407880783,
0.010188237763941288,
0.04253065213561058,
0.0007258595433086157,
-0.013844264671206474,
-0.004519720561802387,
0.014691188000142574,
0.004712583962827921,
0.0152613939717412,
0.02181876078248024,
-0.027822693809866905,
0.03181413561105728,
0.008720796555280685,
0.02830904722213745,
0.0011592789087444544,
-0.014842124655842781,
-0.03649317845702171,
0.08043257892131805,
0.04585126414895058,
-0.007140152156352997,
0.01688815839588642,
0.013232131488621235,
0.01403712760657072,
-0.016712063923478127,
-0.022858548909425735,
-0.051251448690891266,
0.044207729399204254,
0.007919992320239544,
-0.012645154260098934,
0.04618667811155319,
0.058664124459028244,
0.025575412437319756,
0.0014255148125812411,
-0.007735514082014561,
0.014104210771620274,
0.002568023046478629,
-0.005186358001083136,
-0.013131506741046906,
-0.008947202004492283,
-0.03796900436282158,
0.045616474002599716,
-0.027218947187066078,
0.005412763450294733,
-0.029315292835235596,
0.027654986828565598,
0.0033227072563022375,
-0.011370576918125153,
0.01784409023821354,
0.05795975401997566,
-0.005840417928993702,
0.03729817643761635,
-0.006976637057960033,
0.006481899414211512,
0.02272438257932663,
-0.0011854832991957664,
-0.031679969280958176,
0.07218135893344879,
0.013475307263433933,
0.08117049187421799,
0.022338654845952988,
0.022741153836250305,
-0.01819627732038498,
-0.011026776395738125,
0.010758443735539913,
-0.020929912105202675,
0.012460676021873951,
0.018045339733362198,
0.06265556812286377,
0.01234328094869852,
0.022321883589029312,
-0.003874046029523015,
-0.035621099174022675,
0.06621097028255463,
-0.03028799593448639,
-0.005924271885305643,
-0.005689481273293495,
-0.04796437919139862,
-0.02582697384059429,
-0.006016511004418135,
0.019672103226184845,
0.03327319398522377,
-0.02938237600028515,
-0.0021120677702128887,
0.0034946075174957514,
0.011169327422976494,
-0.04719292372465134,
-0.0004323712200857699,
-0.007907414808869362,
-0.015135613270103931,
-0.02859414927661419,
0.011261566542088985,
-0.007509108632802963,
-0.01028047688305378,
-0.04229586198925972,
-0.05856350064277649,
0.01118609867990017,
0.030220912769436836,
0.0000552255951333791,
0.000025057877792278305,
-0.015957379713654518,
0.0166952945291996,
-0.012234271503984928,
0.0012127357767894864,
0.029332062229514122,
0.0003194306045770645,
0.02965070679783821,
-0.011546669527888298,
-0.05514226481318474,
0.036727968603372574,
0.00965157337486744,
-0.02418343909084797,
0.00933292880654335,
0.009768969379365444,
0.016116702929139137,
0.053029149770736694,
-0.002779753878712654,
-0.029315292835235596,
0.023210734128952026,
0.0025407704524695873,
-0.0019265413284301758,
0.06262202560901642,
-0.017827320843935013,
0.007890643551945686,
0.009517407976090908,
-0.03860629349946976,
0.07130928337574005,
-0.030707266181707382,
0.0003516619326546788,
0.01101000513881445,
0.043335650116205215,
-0.012183958664536476,
0.000823339622002095,
0.02792331948876381,
0.013668171130120754,
0.029717789962887764,
-0.006762810051441193,
0.005777527578175068,
-0.017810549587011337,
0.010615892708301544,
0.016276024281978607,
-0.025843745097517967,
0.016728835180401802,
0.005563700571656227,
-0.026514574885368347,
0.01874971203505993,
0.011110629886388779,
0.0040207901038229465,
0.042396485805511475,
-0.021131159737706184,
-0.01886710710823536,
-0.021080847829580307,
-0.0022305112797766924,
-0.015580038540065289,
0.043771687895059586,
0.00016810068336781114,
0.006913746707141399,
0.04363752156496048,
-0.03780129924416542,
-0.004456830210983753,
0.011722763068974018,
0.021835532039403915,
0.006343540735542774,
0.02331135980784893,
0.010121154598891735,
0.01701393909752369,
-0.018766483291983604,
0.0056769028306007385,
0.006708304863423109,
0.011001620441675186,
-0.013114736415445805,
0.008519547060132027,
-0.019470855593681335,
-0.009441939182579517,
0.03219986334443092,
-0.02129886858165264,
0.009986989200115204,
-0.010632663033902645,
-0.030606640502810478,
-0.060777243226766586,
0.01350884884595871,
0.028459982946515083,
0.03454776853322983,
-0.006029088981449604,
-0.013550776056945324,
-0.011580211110413074,
0.01137896254658699,
-0.02181876078248024,
0.023445526137948036,
-0.017793778330087662,
-0.01744159311056137,
-0.013743639923632145,
-0.010246935300529003,
0.004624537657946348,
0.041960448026657104,
0.0005128184566274285,
0.028527066111564636,
-0.015429100953042507,
-0.02441822923719883,
-0.022154176607728004,
-0.025424474850296974,
0.011873699724674225,
0.0030082555022090673,
0.03978024795651436,
-0.0015041277511045337,
0.03146195039153099,
0.030271226540207863,
0.020292622968554497,
-0.03753296658396721,
0.02047710120677948,
0.021164702251553535,
-0.0024548203218728304,
0.017458364367485046,
-0.011571825481951237,
0.018028568476438522,
0.016192171722650528,
0.008041580207645893,
0.007169500924646854,
0.036560263484716415,
-0.05232477933168411,
-0.020661579445004463,
-0.05430372804403305,
-0.018447838723659515,
-0.003997730556875467,
0.0231939647346735,
0.025189684703946114,
-0.034749019891023636,
0.07291927188634872,
-0.02039324678480625,
0.006314191967248917,
-0.03770067170262337,
-0.03749942407011986,
-0.01989012397825718,
-0.036996301263570786,
-0.0013070713030174375,
0.007664238102734089,
0.022791465744376183,
-0.026682281866669655,
0.040350452065467834,
-0.03444714471697807,
-0.056685175746679306,
-0.01319020427763462,
0.016921699047088623,
-0.022556675598025322,
0.004544876515865326,
0.004054331686347723,
0.02646426297724247,
-0.022187719121575356,
0.03206569701433182,
-0.01370171271264553,
-0.05225769430398941,
0.02394864894449711,
-0.00398724852129817,
0.02311011031270027,
0.00015381933189928532,
-0.002513518091291189,
-0.005878152325749397,
-0.03964608162641525,
0.012058177962899208,
-0.021215014159679413,
-0.004628730472177267,
-0.03823733702301979,
-0.016477273777127266,
0.007706165313720703,
0.007634889334440231,
0.009618031792342663,
0.0002606019261293113,
-0.006641221698373556,
0.04494564235210419,
-0.024317605420947075,
-0.034950267523527145,
0.03127747029066086,
0.03355829417705536,
-0.003584750462323427,
0.04618667811155319,
0.022120635956525803,
0.0009061452583409846,
0.021080847829580307,
-0.02678290754556656,
0.04974208027124405,
-0.000810237426776439,
-0.035855889320373535,
-0.014079054817557335,
-0.04685750976204872,
-0.06996762007474899,
0.030740806832909584,
0.017860861495137215,
0.005924271885305643,
0.020695120096206665,
-0.02646426297724247,
-0.017626071348786354,
0.018598774448037148,
-0.016284409910440445,
-0.021869074553251266,
0.001786086126230657,
0.018330443650484085,
0.017927944660186768,
0.03478256240487099,
-0.01901804469525814,
-0.02389833703637123,
0.030740806832909584,
0.023998960852622986,
-0.019236063584685326,
-0.0036099066492170095,
-0.06715013086795807,
0.0009423071751371026,
0.003928550984710455,
-0.0059578134678304195,
0.0034925113432109356,
0.029399145394563675,
-0.03134455531835556,
-0.03639255464076996,
-0.0005348300910554826,
0.00858663022518158,
-0.03350798413157463,
0.00355330528691411,
0.018850335851311684,
0.008989128284156322,
-0.023244276642799377,
0.032786838710308075,
-0.01067459024488926,
-0.045817721635103226,
0.00522828521206975,
0.001705376897007227,
-0.01618378609418869,
0.004561647307127714,
0.012376822531223297,
0.007026949431747198,
-0.015898682177066803,
-0.009777354076504707,
-0.00815059058368206,
0.00042319970089010894,
0.009559334255754948,
0.019437313079833984,
-0.013039267621934414,
-0.003802770283073187,
-0.016401804983615875,
0.01989012397825718,
0.03827087953686714,
-0.059603288769721985,
0.03161288797855377,
-0.03307194262742996,
-0.035654641687870026,
0.028560608625411987,
-0.008242829702794552,
-0.0474277138710022,
-0.010372716002166271,
-0.045549388974905014,
-0.031009139493107796,
0.0053834146820008755,
0.018481379374861717,
0.028023943305015564,
-0.020292622968554497,
0.01285478938370943,
-0.0815059021115303,
0.007173693738877773,
0.0026204315945506096,
0.03578880801796913,
0.00617164047434926,
0.02768852934241295,
0.08982419967651367,
-0.031243929639458656,
0.000845875300001353,
0.011043546721339226,
0.010129540227353573,
0.03340735659003258,
-0.020879598334431648,
0.013944888487458229,
-0.023965418338775635,
-0.0031466141808778048,
0.014104210771620274,
0.010213394649326801,
-0.00007605802966281772,
-0.0406523272395134,
0.01035594567656517,
0.0034883185289800167,
0.035889431834220886,
-0.028493525460362434
] |
Query categorization at customer-to-customer e-commerce platforms like
Facebook Marketplace is challenging due to the vagueness of search intent,
noise in real-world data, and imbalanced training data across languages. Its
deployment also needs to consider challenges in scalability and downstream
integration in order to translate modeling advances into better search result
relevance. In this paper we present HierCat, the query categorization system at
Facebook Marketplace. HierCat addresses these challenges by leveraging
multi-task pre-training of dual-encoder architectures with a hierarchical
inference step to effectively learn from weakly supervised training data mined
from searcher engagement. We show that HierCat not only outperforms popular
methods in offline experiments, but also leads to 1.4% improvement in NDCG and
4.3% increase in searcher engagement at Facebook Marketplace Search in online
A/B testing. | [
-0.018851054832339287,
-0.0031527408864349127,
-0.027090217918157578,
-0.0327698215842247,
0.010910818353295326,
0.002895850921049714,
-0.05978531017899513,
0.034301821142435074,
-0.069612517952919,
0.06184042990207672,
-0.030453141778707504,
-0.04330698400735855,
-0.031237823888659477,
-0.043344348669052124,
-0.025745049118995667,
0.002358717145398259,
-0.007305017206817865,
0.006613749545067549,
0.030901530757546425,
-0.00446054432541132,
-0.00047028384869918227,
-0.042895957827568054,
-0.02432514727115631,
0.023092076182365417,
0.02453065849840641,
-0.0002779082569759339,
-0.006412908434867859,
-0.0061326646246016026,
-0.009191990830004215,
0.04681937023997307,
0.014030864462256432,
0.033405039459466934,
0.02552085369825363,
-0.0561608225107193,
-0.026342902332544327,
0.008986479602754116,
0.04902395233511925,
0.024848269298672676,
-0.015871131792664528,
0.008145748637616634,
0.01498369313776493,
0.016786593943834305,
-0.07248968631029129,
0.025857146829366684,
-0.006366201210767031,
-0.0033442405983805656,
0.007800114341080189,
0.021821636706590652,
-0.008145748637616634,
-0.04480161517858505,
0.01119106262922287,
-0.01823451928794384,
0.029799239709973335,
0.0015623582294210792,
-0.05470355600118637,
0.027202315628528595,
0.019121957942843437,
0.0212798323482275,
0.03333031013607979,
0.0798133835196495,
0.040392447263002396,
0.04476425051689148,
-0.051676925271749496,
-0.026305535808205605,
-0.008897735737264156,
-0.01740312948822975,
-0.03661850094795227,
-0.022120563313364983,
0.01796361617743969,
-0.014002840034663677,
-0.025987926870584488,
0.0008979472913779318,
0.007295676041394472,
0.004318087361752987,
-0.014768839813768864,
-0.008603479713201523,
0.028248557820916176,
-0.01611400954425335,
0.026716560125350952,
0.040392447263002396,
0.06269983947277069,
0.014133621007204056,
0.05810384824872017,
-0.007295676041394472,
0.05900062620639801,
-0.0697619840502739,
-0.004880909807980061,
-0.08467094600200653,
-0.0062354207038879395,
0.03333031013607979,
-0.07349856197834015,
-0.0293695330619812,
-0.012947255745530128,
-0.03237748146057129,
-0.00724429776892066,
0.03783288970589638,
-0.02423173375427723,
-0.0027300401125103235,
-0.03859889134764671,
-0.029649777337908745,
0.011181720532476902,
-0.02187768556177616,
0.036599818617105484,
-0.019206030294299126,
-0.03243352845311165,
-0.025072462856769562,
-0.042298104614019394,
0.028939826413989067,
-0.011602086015045643,
0.1055210679769516,
0.040093522518873215,
-0.012508207932114601,
0.004719770047813654,
0.051378000527620316,
-0.038243915885686874,
0.014796864241361618,
-0.06169096380472183,
-0.07204129546880722,
0.023391002789139748,
-0.02673524245619774,
0.007510529365390539,
-0.07450743764638901,
0.035348065197467804,
-0.04140132665634155,
-0.004974324721843004,
0.0019873944111168385,
0.020345687866210938,
-0.01093884278088808,
0.02813646011054516,
0.005688945762813091,
-0.0037902952171862125,
-0.03256430849432945,
-0.04790297895669937,
0.04760405048727989,
0.03751528263092041,
0.007501187734305859,
0.07704831659793854,
0.002643631538376212,
-0.03355450555682182,
-0.027594655752182007,
-0.010957526043057442,
0.023540465161204338,
-0.009957990609109402,
-0.022793149575591087,
-0.027949631214141846,
-0.017300372943282127,
0.0034423258621245623,
0.058328039944171906,
-0.041737619787454605,
-0.016674496233463287,
-0.040990300476551056,
0.02632421813905239,
0.003512386931106448,
0.024063587188720703,
0.027538606896996498,
0.016553057357668877,
0.053732044994831085,
-0.04312015324831009,
-0.03226538375020027,
0.027949631214141846,
0.013591816648840904,
-0.05429253354668617,
-0.004843544214963913,
0.014703448861837387,
0.050742778927087784,
0.05335838720202446,
0.023241538554430008,
-0.0719292014837265,
-0.0904252827167511,
0.03342372551560402,
0.016468985006213188,
0.033591870218515396,
-0.028547484427690506,
-0.008547430858016014,
0.03159279748797417,
0.007024773862212896,
0.03751528263092041,
0.0006130329566076398,
-0.04315751791000366,
0.024717489257454872,
-0.020812761038541794,
0.04569839686155319,
0.054927751421928406,
0.022494222968816757,
0.03792630508542061,
0.024100951850414276,
0.05780491977930069,
0.045436833053827286,
0.057879652827978134,
0.001676791114732623,
-0.029294801875948906,
0.032695092260837555,
0.017141569405794144,
0.019897298887372017,
0.02503509819507599,
-0.06195252761244774,
-0.0399814248085022,
0.013909425586462021,
-0.025408755987882614,
-0.018010323867201805,
-0.029817922040820122,
-0.04132659360766411,
0.005137799773365259,
0.014329791069030762,
0.03833732753992081,
-0.009957990609109402,
0.048276636749506,
-0.0036408319137990475,
0.02228870987892151,
-0.058925893157720566,
-0.02867826446890831,
0.03473152592778206,
-0.04917341470718384,
-0.04046718031167984,
0.0020084127318114042,
0.005488104652613401,
0.03037841059267521,
-0.030546555295586586,
-0.02073802798986435,
0.0034586736001074314,
0.03682401403784752,
-0.004659050609916449,
0.047529321163892746,
0.024362513795495033,
-0.007234956603497267,
-0.020756712183356285,
0.0371229387819767,
0.015712326392531395,
0.033292945474386215,
0.043194886296987534,
-0.012526890262961388,
-0.023092076182365417,
-0.012993963435292244,
-0.012816475704312325,
0.06191515922546387,
-0.05104170739650726,
-0.026866022497415543,
-0.03611406311392784,
-0.03118177503347397,
-0.006567042320966721,
0.033199530094861984,
0.016908032819628716,
-0.04782824590802193,
-0.012452159076929092,
0.06314823031425476,
0.003647838020697236,
0.00993930734694004,
-0.03351713716983795,
-0.047529321163892746,
0.03185436129570007,
-0.030696019530296326,
-0.011872988194227219,
-0.02667919360101223,
0.006482969503849745,
-0.019915981218218803,
0.059224821627140045,
0.09677746891975403,
-0.00704345665872097,
-0.021597443148493767,
-0.009262052364647388,
-0.004668391775339842,
0.012956596910953522,
0.004677733406424522,
0.024100951850414276,
0.00999535620212555,
0.031088359653949738,
0.04046718031167984,
0.00425970321521163,
-0.028584850952029228,
0.02002807892858982,
0.04666990786790848,
-0.07943972945213318,
0.013255523517727852,
0.011461964808404446,
-0.026866022497415543,
-0.023092076182365417,
0.03398421034216881,
-0.02312944084405899,
-0.007267651613801718,
0.07891660928726196,
-0.02408226951956749,
0.0356283076107502,
0.016366228461265564,
0.034096308052539825,
-0.057618092745542526,
0.01918734796345234,
-0.012685694731771946,
-0.0013253188226372004,
-0.034694161266088486,
-0.044241126626729965,
-0.015600228682160378,
-0.029350850731134415,
-0.0017923915293067694,
-0.0019441902404651046,
0.014030864462256432,
0.02398885414004326,
0.0178141538053751,
-0.009621698409318924,
0.014582009986042976,
-0.013816011138260365,
-0.0572444312274456,
0.0239328071475029,
0.03620747849345207,
0.009976672939956188,
-0.058477506041526794,
0.05421780049800873,
-0.0038463438395410776,
0.07241495698690414,
-0.012741743586957455,
-0.03721635416150093,
0.01698276400566101,
-0.006725847255438566,
-0.002419436816126108,
0.019542323425412178,
0.013376962393522263,
0.010864111594855785,
0.0689399316906929,
-0.020551199093461037,
-0.0023785678204149008,
-0.013376962393522263,
0.0018390988698229194,
0.018430689349770546,
-0.1091829165816307,
0.03196645900607109,
-0.04005615785717964,
0.042484935373067856,
0.009290076792240143,
0.028584850952029228,
0.022494222968816757,
0.03273245692253113,
-0.05690814182162285,
-0.028192508965730667,
0.0047034225426614285,
-0.025053780525922775,
-0.05829067528247833,
-0.04035508260130882,
-0.05320892482995987,
0.038636256009340286,
0.003395618638023734,
-0.01865488477051258,
-0.03488099202513695,
0.016216764226555824,
-0.017926251515746117,
0.06075682118535042,
0.026697875931859016,
-0.023764660581946373,
-0.05694550648331642,
0.026398951187729836,
-0.016637129709124565,
-0.0037879596929997206,
0.0010228892788290977,
-0.025801097974181175,
-0.03437655419111252,
-0.005908470135182142,
0.01461003441363573,
-0.0033115455880761147,
-0.052685804665088654,
-0.022195296362042427,
0.045436833053827286,
0.02557690255343914,
-0.017141569405794144,
-0.08795913308858871,
-0.03232143074274063,
0.012984621338546276,
-0.023802025243639946,
0.01129381824284792,
-0.007856163196265697,
-0.0273330956697464,
-0.004712763708084822,
0.016216764226555824,
-0.055525604635477066,
0.004974324721843004,
-0.013059353455901146,
0.0159084964543581,
-0.05660921335220337,
0.01178891584277153,
-0.014955668710172176,
-0.020345687866210938,
0.018486738204956055,
0.050630684942007065,
0.027090217918157578,
-0.00733304163441062,
-0.012265329249203205,
0.00040372597868554294,
0.009546966291964054,
0.0007642477285116911,
0.03106967732310295,
-0.020962223410606384,
-0.06580120325088501,
-0.0010514974128454924,
0.04857556149363518,
-0.03191040828824043,
-0.031107043847441673,
-0.03971986472606659,
0.06311086565256119,
0.002496503759175539,
0.0180196650326252,
0.004729111213237047,
-0.01602993533015251,
-0.048276636749506,
-0.04042981564998627,
0.08302684873342514,
-0.003510051406919956,
0.03878571838140488,
-0.0553387776017189,
-0.06931359320878983,
0.051938485354185104,
-0.03286323696374893,
-0.04091557115316391,
0.03697347640991211,
-0.06923886388540268,
-0.043942201882600784,
-0.020046761259436607,
0.0035520880483090878,
-0.023839391767978668,
0.03448864817619324,
-0.030004750937223434,
0.0012319042580202222,
0.01508644875138998,
-0.024269098415970802,
-0.031405970454216,
-0.012956596910953522,
0.07047193497419357,
-0.00674453005194664,
-0.036001965403556824,
0.0014105596346780658,
0.027314413338899612,
0.041887082159519196,
-0.003108368953689933,
0.01707617938518524,
0.06808052211999893,
0.0031737592071294785,
0.012442816980183125,
-0.0470435656607151,
0.0043928190134465694,
0.03142465278506279,
-0.013283547945320606,
0.04181234911084175,
-0.02948163077235222,
-0.024568025022745132,
-0.007823468185961246,
-0.022270027548074722,
-0.00665578618645668,
0.01581508293747902,
-0.01575903408229351,
0.0041405996307730675,
-0.020850125700235367,
0.029817922040820122,
-0.01101357489824295,
0.007613285444676876,
-0.02673524245619774,
0.029201386496424675,
-0.07876714318990707,
-0.042933326214551926,
0.0014654406113550067,
-0.027762802317738533,
0.07839348912239075,
-0.01871093362569809,
0.01763666607439518,
-0.04999546334147453,
-0.024455927312374115,
0.04610941931605339,
-0.006697822827845812,
-0.039794597774744034,
0.005478763021528721,
0.017057495191693306,
-0.034955721348524094,
-0.020065443590283394,
-0.0068846517242491245,
0.01688935048878193,
0.014619376510381699,
-0.03833732753992081,
0.01199442707002163,
0.035049136728048325,
0.01743115484714508,
0.01707617938518524,
0.011630110442638397,
0.020121492445468903,
0.051789022982120514,
0.0008909412426874042,
0.02963109314441681,
0.016851983964443207,
-0.01620742306113243,
0.02198978327214718,
0.018131762742996216,
-0.02527797594666481,
0.021653492003679276,
-0.007697358261793852,
-0.013825352303683758,
-0.01231203693896532,
-0.02292392961680889,
0.02707153558731079,
0.02832328900694847,
0.006272786762565374,
0.01344235334545374,
-0.04300805553793907,
-0.030957579612731934,
-0.02148534543812275,
0.011798257008194923,
-0.01538537535816431,
-0.009752478450536728,
-0.010723989456892014,
0.029948702082037926,
0.012853841297328472,
0.01106962375342846,
0.0073190294206142426,
0.043082788586616516,
0.02843538671731949,
0.02402622066438198,
0.04177498444914818,
0.014656742103397846,
-0.003865026868879795,
0.013507743366062641,
-0.0410650335252285,
-0.006968725007027388,
0.01739378832280636,
0.05324628949165344,
-0.01736576296389103,
0.029649777337908745,
0.0075712488032877445,
0.015114473178982735,
-0.0071041760966181755,
-0.014049547724425793,
0.013078035786747932,
-0.07196656614542007,
0.04666990786790848,
0.05675867572426796,
0.007295676041394472,
0.04797770828008652,
-0.04539946839213371,
0.018636202439665794,
0.01556286308914423,
-0.015534838661551476,
-0.018225178122520447,
0.02972450852394104,
-0.01775810495018959,
0.014142962172627449,
0.011639452539384365,
-0.001640592934563756,
-0.05216268077492714,
-0.04566102847456932,
0.04091557115316391,
-0.008281199261546135,
-0.006076616235077381,
0.0023493757471442223,
0.046782005578279495,
0.014021523296833038,
-0.04140132665634155,
-0.02268105186522007,
-0.028099095448851585,
-0.02688470669090748,
-0.048388734459877014,
0.04461478814482689,
0.0035193930380046368,
-0.03583382070064545,
-0.04042981564998627,
0.0007356395362876356,
-0.022550271824002266,
0.02258763648569584,
-0.035142552107572556,
-0.0015892148949205875,
0.00417095934972167,
0.010256917215883732,
0.003540411125868559,
0.01638491079211235,
0.0014385839458554983,
-0.004180300980806351,
0.014114937745034695,
-0.006515664514154196,
0.025950560346245766,
-0.00035526719875633717,
0.019206030294299126,
-0.04846346750855446,
-0.04846346750855446,
-0.005030373111367226,
0.026641828939318657,
0.028603533282876015,
-0.05978531017899513,
0.024100951850414276,
0.018309250473976135,
0.01069596502929926,
-0.013731937855482101,
-0.0318169929087162,
0.036151427775621414,
0.024698805063962936,
0.0406540110707283,
-0.042186006903648376,
-0.043680641800165176,
0.05395624041557312,
-0.0012482518795877695,
0.0312751904129982,
0.031349919736385345,
-0.03942093625664711,
-0.012937914580106735,
0.026585780084133148,
0.007118188310414553,
-0.010509136132895947,
0.05825331062078476,
0.043680641800165176,
-0.015805741772055626,
0.002063293708488345,
0.0010952855227515101,
-0.02882772870361805,
-0.0021123364567756653,
-0.0038113133050501347,
0.011219087056815624,
0.046894099563360214,
-0.08489514142274857,
0.008762284182012081,
0.04237283766269684,
-0.026660511270165443,
-0.037197671830654144,
0.04999546334147453,
-0.036095380783081055,
-0.004638032056391239,
0.010023380629718304,
0.006529676727950573,
-0.04330698400735855,
-0.05007019639015198,
-0.026716560125350952,
0.0410650335252285,
0.014357815496623516,
0.028659582138061523,
0.01386271882802248,
-0.057281799614429474,
0.01189167145639658,
0.024568025022745132,
0.004262038506567478,
-0.0010223054559901357,
0.003825325518846512,
-0.00672117667272687,
0.04072874039411545,
-0.018346616998314857,
-0.03815050050616264,
-0.003839337732642889,
-0.005978530738502741,
0.0075385537929832935,
0.027258364483714104,
0.03661850094795227,
0.005189178045839071,
-0.008421321399509907,
-0.02142929658293724,
-0.002713692607358098,
0.0799628496170044,
0.002482491545379162,
-0.026100024580955505,
0.020513834431767464,
-0.006375542841851711,
0.0670342743396759,
0.004437190946191549,
-0.039495669305324554,
0.02477353811264038,
0.02133588120341301,
0.03204118832945824,
-0.006249432917684317,
-0.02787490002810955,
-0.0009767658775672317,
-0.0047361175529658794,
0.019803883507847786,
0.00959367398172617,
0.02208319865167141,
-0.04226073995232582,
0.03478757664561272,
0.005081751383841038,
0.0342644564807415,
0.011433940380811691,
-0.024941682815551758,
-0.04569839686155319,
-0.027986997738480568,
0.053171560168266296,
0.0006060268497094512,
-0.016459641978144646,
-0.08347523957490921,
-0.013358280062675476,
0.011546038091182709,
-0.002673991257324815,
0.003851014655083418,
-0.0028304606676101685,
-0.013115402311086655,
-0.0057356529869139194,
-0.011433940380811691,
-0.02243817411363125,
-0.005123787559568882,
-0.03740318492054939,
-0.030284995213150978,
-0.023596514016389847,
-0.0007957751513458788,
-0.021055638790130615,
0.009845892898738384,
-0.05881379544734955,
-0.02083144336938858,
-0.025913193821907043,
0.0239328071475029,
-0.016450300812721252,
-0.03510518744587898,
-0.03062128834426403,
0.023166807368397713,
0.0273330956697464,
0.027912266552448273,
-0.030546555295586586,
0.011471305973827839,
0.018636202439665794,
-0.03166753053665161,
0.006772554479539394,
0.010219551622867584,
0.026492364704608917,
-0.004079880192875862,
-0.005777689628303051,
-0.05380677804350853,
-0.02796831540763378,
-0.013591816648840904,
-0.002289823954924941,
-0.0030966922640800476,
0.007874846458435059,
0.021093003451824188,
0.012171914801001549,
0.0030476495157927275,
0.0018285897094756365,
-0.0005178668652661145,
0.023540465161204338,
-0.003031302010640502,
0.007963590323925018,
0.041438691318035126,
-0.025446122512221336,
0.013115402311086655,
-0.03177962824702263,
0.012685694731771946,
0.008991150185465813,
-0.0013626846484839916,
0.0003097275912296027,
-0.005324629135429859,
-0.04102766886353493,
-0.018281226977705956,
-0.007935565896332264,
0.00514714140444994,
-0.010723989456892014,
-0.01688935048878193,
0.009163966402411461,
-0.002247787546366453,
-0.004612342920154333,
-0.011760891415178776,
-0.0655396431684494,
-0.01378798671066761,
-0.019504956901073456,
-0.0037412524688988924,
-0.002370394067838788,
-0.0038790388498455286,
0.006118652876466513,
0.017001446336507797,
0.001948860939592123,
0.009061210788786411,
-0.022195296362042427,
-0.00316675310023129,
-0.06382081657648087,
-0.04431585967540741,
0.0006322996923699975,
0.0012470841174945235,
-0.012377426959574223,
0.001799397636204958,
-0.030415775254368782,
-0.022101880982518196,
0.020756712183356285,
-0.014750156551599503,
-0.0051331291906535625,
0.04461478814482689,
-0.032807186245918274,
-0.046931467950344086,
0.03570304065942764,
-0.0013743614545091987,
-0.06789369136095047,
-0.0014257394941523671,
-0.021672174334526062,
0.051079072058200836,
-0.05149009823799133,
0.02832328900694847,
-0.01748720183968544,
0.019206030294299126,
0.066623255610466,
-0.04835136979818344,
-0.01023823395371437,
0.004780489485710859,
-0.020868809893727303,
0.05911272391676903,
0.013134084641933441,
-0.019803883507847786,
0.023858074098825455,
0.00969642959535122,
-0.011760891415178776,
0.04076610878109932,
0.008706235326826572,
0.00583373848348856,
-0.021560076624155045,
-0.027463875710964203,
0.060121599584817886,
0.05735652893781662,
0.008617491461336613,
0.0003710308810696006,
0.034189723432064056,
-0.032489579170942307,
-0.036001965403556824,
0.04801507666707039,
0.03062128834426403,
0.043344348669052124,
0.0406540110707283,
-0.058029115200042725,
-0.012937914580106735,
-0.007804785389453173,
-0.019168663769960403,
0.0025595584884285927,
0.0031831006053835154,
0.04797770828008652,
0.04001878947019577,
-0.01161142811179161,
0.05541350692510605,
-0.002336531411856413,
-0.030509190633893013,
-0.018215836957097054,
0.003498374717310071,
-0.017916910350322723,
-0.021821636706590652,
-0.028790362179279327,
-0.03125650808215141,
0.010266258381307125,
-0.01724432408809662,
-0.05776755511760712,
0.02703416906297207,
0.026398951187729836,
-0.012863182462751865,
0.03572172299027443,
-0.008911747485399246,
0.01136855036020279,
0.030397092923521996,
-0.0068192617036402225,
-0.025913193821907043,
-0.022606320679187775,
0.018963152542710304,
0.02453065849840641,
0.037944987416267395,
0.016814617440104485,
0.06505388766527176,
-0.03551620990037918,
-0.016908032819628716,
-0.04797770828008652,
0.009182649664580822,
0.005871104076504707,
-0.004936958663165569,
-0.03646903857588768,
-0.006590396165847778,
-0.03648772090673447,
0.00892576016485691,
0.034040261059999466,
0.04902395233511925,
0.05242424085736275,
0.018365299329161644,
-0.013535767793655396,
0.0014163979794830084,
-0.03148069977760315,
0.023671245202422142,
0.0038720329757779837,
-0.00401449017226696,
0.016992105171084404,
-0.04121449589729309,
-0.01918734796345234,
0.02847275324165821,
0.013274206779897213,
-0.010761355981230736,
0.04061664268374443,
-0.040392447263002396,
0.012452159076929092,
-0.026753924787044525,
0.01007008831948042,
-0.009761819615960121,
-0.05474092438817024,
0.021410614252090454,
0.01374127995222807,
-0.006641773972660303,
0.0014771175337955356,
0.01011679507791996,
0.025109829381108284,
-0.012255988083779812,
0.0363008938729763,
0.04659517481923103,
-0.007804785389453173,
-0.019411541521549225,
0.041737619787454605,
-0.015021058730781078,
0.02856616862118244,
-0.022456856444478035,
0.027893582358956337,
-0.05010756105184555,
-0.0034913686104118824,
0.066623255610466,
0.002074970630928874,
-0.054030973464250565,
0.012302695773541927,
-0.011583403684198856,
0.010172843933105469,
0.0273330956697464,
-0.007809455972164869,
0.006254103966057301,
0.009397502988576889,
-0.015646936371922493,
-0.08848225325345993,
-0.03811313584446907,
0.01069596502929926,
0.0663616955280304,
0.010742672719061375,
-0.035441476851701736,
0.029014557600021362,
-0.021242467686533928,
-0.018514763563871384,
-0.061616234481334686,
0.010602550581097603,
-0.030453141778707504,
0.00016610273451078683,
-0.011340525932610035,
0.011284477077424526,
-0.04607205465435982,
0.042298104614019394,
-0.00485755642876029,
0.040541913360357285,
0.02563295140862465,
-0.021859003230929375,
0.043194886296987534,
-0.018346616998314857,
0.025203244760632515,
-0.024642756208777428,
-0.016328861936926842,
0.025408755987882614,
-0.03022894635796547,
-0.0719292014837265,
0.02303602732717991,
0.008463357575237751,
0.04857556149363518,
0.013507743366062641,
-0.022344758734107018,
-0.024100951850414276,
-0.05227477848529816,
-0.025987926870584488,
-0.004227008204907179,
-0.0025805768091231585,
0.028510119765996933,
-0.02157875895500183,
0.01671186275780201,
0.02497904933989048,
-0.038449425250291824,
0.0058851162903010845,
-0.027202315628528595,
-0.013376962393522263,
0.02912665531039238,
-0.039047278463840485,
-0.008939771912992,
-0.015189205296337605,
0.006823932286351919,
0.023615196347236633,
0.014329791069030762,
-0.01161142811179161,
0.03708557412028313,
-0.044091664254665375,
0.014974351041018963,
-0.00763196824118495,
0.01093884278088808,
0.022643685340881348,
-0.021896369755268097,
-0.03800103813409805,
-0.053433120250701904,
-0.03450733423233032,
-0.025651633739471436,
-0.02262500301003456,
0.030994946137070656,
0.0018169129034504294,
0.01829056814312935,
0.01948627457022667,
0.02757597342133522,
0.0210743211209774,
0.028248557820916176,
0.02372729405760765,
-0.006296140141785145,
-0.025315342471003532,
0.011574062518775463,
0.024343829602003098,
-0.015422740951180458,
0.0538441427052021,
0.031349919736385345,
0.026847340166568756,
-0.04476425051689148,
0.003021960612386465,
-0.030434459447860718,
-0.03355450555682182,
0.009901941753923893,
0.01802900619804859,
0.018393324688076973,
0.05436726659536362,
-0.02742651104927063,
-0.032937970012426376,
0.03923410922288895,
-0.009266722947359085,
0.017720738425850868,
0.016730545088648796,
-0.0052358852699398994,
-0.05115380510687828,
-0.014460571110248566,
0.00959367398172617,
0.001515651005320251,
-0.006627761758863926,
0.015721667557954788,
0.011135013774037361,
0.010910818353295326,
-0.031405970454216,
0.00431341677904129,
0.02014017663896084,
-0.02103695459663868,
-0.01871093362569809,
0.016300838440656662,
-0.024157000705599785,
0.0023447051644325256,
-0.021765589714050293,
-0.0011122169671580195,
-0.01688935048878193,
-0.022307394072413445,
-0.026996802538633347,
-0.01963573694229126,
-0.01236808579415083,
-0.0212798323482275
] |
In this paper we present SurvLIMEpy, an open-source Python package that
implements the SurvLIME algorithm. This method allows to compute local feature
importance for machine learning algorithms designed for modelling Survival
Analysis data. Our implementation takes advantage of the parallelisation
paradigm as all computations are performed in a matrix-wise fashion which
speeds up execution time. Additionally, SurvLIMEpy assists the user with
visualization tools to better understand the result of the algorithm. The
package supports a wide variety of survival models, from the Cox Proportional
Hazards Model to deep learning models such as DeepHit or DeepSurv. Two types of
experiments are presented in this paper. First, by means of simulated data, we
study the ability of the algorithm to capture the importance of the features.
Second, we use three open source survival datasets together with a set of
survival algorithms in order to demonstrate how SurvLIMEpy behaves when applied
to different models. | [
-0.02236347831785679,
0.02603095769882202,
-0.03931538760662079,
0.027416450902819633,
0.015077417716383934,
-0.02942134067416191,
-0.006817437708377838,
0.03284431993961334,
-0.018321100622415543,
0.030122235417366028,
-0.024400966241955757,
0.00030358583899214864,
0.048899732530117035,
-0.029828837141394615,
0.018207000568509102,
0.04140177369117737,
0.025020364671945572,
-0.02251017652451992,
0.021858181804418564,
0.017620204016566277,
0.04309696704149246,
-0.031882625073194504,
-0.02927464060485363,
0.03735939785838127,
0.04286876693367958,
0.028361845761537552,
0.01933169551193714,
-0.0053015463054180145,
-0.022868774831295013,
-0.00811328087002039,
0.013300727121531963,
0.025281162932515144,
0.037815794348716736,
0.010203744284808636,
-0.010888340882956982,
-0.03863079100847244,
0.043194763362407684,
0.04270576685667038,
-0.014311322011053562,
0.03051343373954296,
0.00022055816953070462,
-0.0326487235724926,
0.04873673617839813,
-0.014661770313978195,
-0.006735938135534525,
0.031116530299186707,
-0.005855743307620287,
-0.04071717709302902,
-0.02474326454102993,
0.010733491741120815,
0.036251001060009,
0.009853295981884003,
0.058092884719371796,
-0.03409941494464874,
-0.010823140852153301,
0.034262415021657944,
0.056886691600084305,
0.042444970458745956,
-0.0014435609336942434,
0.004580275155603886,
-0.0758923888206482,
-0.0010594942141324282,
0.005757943727076054,
0.004323551431298256,
0.026128757745027542,
0.01401792373508215,
0.029991837218403816,
-0.01566421426832676,
-0.002766910009086132,
-0.019836992025375366,
0.000023956412405823357,
0.006430314853787422,
-0.00963324774056673,
0.04740014299750328,
0.0038834537845104933,
-0.006055417004972696,
-0.03556640446186066,
0.016691109165549278,
-0.035501208156347275,
-0.017310505732893944,
0.07204560935497284,
-0.027889147400856018,
-0.014213522896170616,
-0.006858187727630138,
0.08117356151342392,
-0.039967384189367294,
0.014743269421160221,
-0.04651994630694389,
-0.02591685950756073,
-0.05144251883029938,
0.005248571280390024,
-0.003335369285196066,
-0.027530550956726074,
0.02793804742395878,
0.0023838619235903025,
-0.01900569722056389,
0.05062752589583397,
0.01582721434533596,
-0.058092884719371796,
-0.004975548014044762,
-0.011654436588287354,
-0.011581086553633213,
0.0024673989973962307,
0.001087000360712409,
0.0035941305104643106,
-0.06702523678541183,
-0.03286062180995941,
0.0038304792251437902,
-0.030676433816552162,
0.07797877490520477,
-0.06167886406183243,
0.01815810054540634,
-0.03569680452346802,
-0.07693558186292648,
-0.03276282176375389,
-0.046715546399354935,
-0.01791360229253769,
-0.028606344014406204,
0.029828837141394615,
-0.0335778184235096,
0.008007331751286983,
0.0563976913690567,
0.010741641744971275,
0.017555003985762596,
-0.01907089538872242,
0.07784837484359741,
0.03524040803313255,
0.0014374484308063984,
0.04629174619913101,
-0.007534633856266737,
-0.01300732884556055,
-0.012705780565738678,
-0.011923384852707386,
-0.01355337630957365,
0.0002796453482005745,
0.003035858506336808,
0.048899732530117035,
0.024433566257357597,
-0.0022636500652879477,
0.035468608140945435,
0.014889968559145927,
-0.05832108110189438,
-0.02251017652451992,
0.013349627144634724,
0.0060880170203745365,
-0.03186632692813873,
-0.021564781665802002,
0.007192336022853851,
-0.01709860749542713,
0.025020364671945572,
-0.0407823771238327,
-0.04130397364497185,
0.005497145000845194,
0.007290135137736797,
0.07074161618947983,
0.028541143983602524,
-0.02352077141404152,
0.017245305702090263,
0.014164622873067856,
-0.04541155323386192,
0.04055418074131012,
0.004072940442711115,
0.011124689131975174,
0.007559083867818117,
0.036609601229429245,
0.04485735669732094,
-0.00419315230101347,
-0.071198008954525,
-0.08821512013673782,
0.03964138403534889,
0.026356955990195274,
-0.013243678025901318,
0.002296250080689788,
0.006308065727353096,
-0.014148322865366936,
0.030920932069420815,
0.0017552967183291912,
0.041988570243120193,
-0.04130397364497185,
0.02151588350534439,
-0.028801942244172096,
0.017440905794501305,
-0.0337408147752285,
-0.02264057658612728,
0.03501220792531967,
-0.0007645676960237324,
0.07608798891305923,
0.06676443666219711,
0.02691115252673626,
0.022053780034184456,
-0.008541153743863106,
-0.03380601480603218,
-0.015973912551999092,
-0.06268946081399918,
-0.02365117147564888,
0.0030419710092246532,
-0.02696005254983902,
-0.03163812682032585,
0.004494700580835342,
-0.02254277653992176,
0.006336590275168419,
-0.06347185373306274,
-0.020766086876392365,
-0.014254271984100342,
-0.03413201496005058,
-0.01920129545032978,
0.02720455266535282,
-0.010293394327163696,
0.05157291889190674,
-0.07524038851261139,
-0.030741631984710693,
0.04309696704149246,
-0.1034066379070282,
-0.021581081673502922,
-0.059299077838659286,
0.00764465844258666,
-0.004938872996717691,
0.03693559765815735,
-0.0061858161352574825,
-0.01794620230793953,
0.0026976352091878653,
0.019478393718600273,
0.04834553599357605,
-0.013806024566292763,
-0.018402600660920143,
0.07550118863582611,
-0.0024123869370669127,
-0.0030582707840949297,
0.05714748799800873,
0.05317031219601631,
0.08736752718687057,
-0.046617746353149414,
0.015688665211200714,
-0.008687852881848812,
0.004967398010194302,
0.058907877653837204,
0.04260796681046486,
-0.016267310827970505,
-0.021108385175466537,
0.003209044924005866,
-0.002567236078903079,
-0.06523224711418152,
0.028720444068312645,
0.03039933368563652,
-0.00034408093779347837,
-0.022021180018782616,
0.03178482875227928,
0.04847593605518341,
0.043488163501024246,
0.04997552931308746,
-0.04502035304903984,
0.012241233140230179,
0.020032590255141258,
0.006813362706452608,
-0.07087201625108719,
0.02267317660152912,
0.0738711953163147,
-0.005973917432129383,
-0.005607169587165117,
0.0025203737895935774,
0.016462910920381546,
-0.0451507531106472,
-0.042379770427942276,
0.08267314732074738,
-0.027889147400856018,
-0.005456395447254181,
0.059168677777051926,
0.011409937404096127,
0.010220044292509556,
0.012616131454706192,
-0.033268120139837265,
-0.027726149186491966,
0.013903824612498283,
0.003867154009640217,
-0.0052933963015675545,
-0.017489803954958916,
0.04991032928228378,
0.02916054055094719,
0.02492256462574005,
-0.061222467571496964,
-0.06845963001251221,
-0.021955979987978935,
0.046650346368551254,
0.025607161223888397,
0.028394445776939392,
0.011572936549782753,
-0.018875297158956528,
-0.024026069790124893,
-0.027660949155688286,
-0.05033412575721741,
0.004474325571209192,
-0.014767719432711601,
-0.0424775704741478,
0.014963318593800068,
0.02040748856961727,
-0.003080683294683695,
-0.049062732607126236,
-0.019836992025375366,
0.0033679690677672625,
0.045574553310871124,
-0.02356967143714428,
0.031198030337691307,
0.05538709834218025,
0.046650346368551254,
0.02927464060485363,
-0.04991032928228378,
0.058190684765577316,
0.14722080528736115,
-0.05955987423658371,
-0.007734308019280434,
0.020863886922597885,
0.004751424305140972,
0.03947838395833969,
-0.04713934287428856,
0.03980438411235809,
0.0491931326687336,
-0.0017563154688104987,
-0.018581898882985115,
0.05828848108649254,
-0.006283615715801716,
0.05483290180563927,
0.0005058066453784704,
-0.0859331339597702,
0.029682138934731483,
-0.00036827611620537937,
-0.0007620208780281246,
-0.045607153326272964,
0.08919311314821243,
0.006035041995346546,
-0.0471719428896904,
-0.03566420450806618,
-0.0404563806951046,
-0.06845963001251221,
-0.01125508826225996,
0.0013742862502112985,
-0.02479216456413269,
-0.04599834978580475,
0.0007299304124899209,
-0.016022812575101852,
-0.04136917367577553,
-0.04622654989361763,
-0.07967396825551987,
0.018761197105050087,
-0.0019926640670746565,
0.04153217375278473,
-0.030692731961607933,
-0.07171960920095444,
0.046715546399354935,
0.04606354981660843,
0.006813362706452608,
0.0008623671601526439,
-0.029731038957834244,
-0.018207000568509102,
0.023341473191976547,
0.002569273579865694,
0.02019559033215046,
-0.022135280072689056,
0.011059490032494068,
-0.04123877361416817,
0.022298278287053108,
-0.01229013316333294,
-0.0027017102111130953,
-0.048867132514715195,
0.000286012509604916,
-0.07100241631269455,
0.03853299096226692,
-0.03274651989340782,
-0.040065180510282516,
-0.011915234848856926,
-0.0025040737818926573,
-0.027579449117183685,
0.011882634833455086,
0.00307864579372108,
0.02145068347454071,
-0.007844332605600357,
-0.018842697143554688,
0.031246930360794067,
0.012828029692173004,
-0.004081090446561575,
0.03511000797152519,
-0.038826387375593185,
-0.011605536565184593,
-0.0496821291744709,
0.036414001137018204,
-0.06689483672380447,
-0.01709860749542713,
0.012901379726827145,
0.0018846772145479918,
0.02019559033215046,
0.014784019440412521,
0.01792990230023861,
-0.03158922865986824,
0.001564791426062584,
-0.11194778978824615,
0.03276282176375389,
0.028378145769238472,
0.015052967704832554,
0.0007355334819294512,
0.03735939785838127,
-0.021222485229372978,
0.010586792603135109,
-0.030122235417366028,
0.023390373215079308,
0.022982874885201454,
-0.02140178345143795,
-0.009258349426090717,
0.07334960252046585,
-0.0022555002942681313,
0.029584338888525963,
-0.028655244037508965,
0.017229005694389343,
0.06930722296237946,
-0.013406677171587944,
0.027628349140286446,
0.011238789185881615,
0.011662586592137814,
-0.010521592572331429,
-0.011035040020942688,
-0.05952727422118187,
0.028964942321181297,
-0.027286050841212273,
-0.022265678271651268,
0.04518335312604904,
0.036772601306438446,
-0.06650363653898239,
0.016682958230376244,
-0.020619386807084084,
-0.024417266249656677,
0.04130397364497185,
-0.017310505732893944,
0.040032580494880676,
0.022265678271651268,
0.04400976002216339,
-0.020749786868691444,
0.006442539859563112,
-0.001995720434933901,
0.0000469895894639194,
0.0041075777262449265,
-0.024009769782423973,
-0.014531371183693409,
-0.07700078189373016,
-0.0385981909930706,
0.01303177885711193,
0.034295015037059784,
-0.06226566061377525,
-0.026731854304671288,
0.025313762947916985,
0.0050040725618600845,
0.021727781742811203,
-0.03253462165594101,
-0.0498451292514801,
0.04133657366037369,
-0.010986139997839928,
-0.0424775704741478,
0.009861445985734463,
-0.006617764011025429,
0.012021184898912907,
0.037554994225502014,
-0.00036267301766201854,
-0.03023633547127247,
-0.0328117199242115,
0.035305608063936234,
-0.001711490680463612,
-0.012241233140230179,
0.006246941164135933,
-0.021108385175466537,
-0.004022003151476383,
0.0007054805173538625,
0.004682149272412062,
0.03921758756041527,
-0.004686224274337292,
-0.01704970747232437,
0.04387935996055603,
0.017261605709791183,
-0.017685404047369957,
-0.009470248594880104,
0.019478393718600273,
-0.010660141706466675,
0.03954358398914337,
0.03703339770436287,
0.023308873176574707,
-0.000704461766872555,
0.015142617747187614,
-0.019380593672394753,
-0.007689482998102903,
0.0237489715218544,
-0.019771791994571686,
0.031198030337691307,
0.01797880232334137,
-0.00396495359018445,
0.04974732920527458,
-0.004003665875643492,
-0.03253462165594101,
-0.041988570243120193,
-0.010855740867555141,
0.027318650856614113,
0.007546858862042427,
-0.013088828884065151,
0.025558261200785637,
0.022037480026483536,
0.03036673553287983,
-0.019999990239739418,
-0.007783207576721907,
0.015158917754888535,
-0.004694374278187752,
0.031116530299186707,
0.01925019547343254,
-0.002762835007160902,
0.012779130600392818,
-0.06956802308559418,
0.04368376359343529,
0.031980425119400024,
-0.03563160449266434,
-0.024270568042993546,
0.0009937852155417204,
0.034360211342573166,
-0.00041692116064950824,
0.01347187627106905,
0.020929086953401566,
0.04032598063349724,
0.03465361148118973,
0.021776681765913963,
0.006373265292495489,
0.044433556497097015,
-0.036511801183223724,
0.004152402281761169,
-0.04394455999135971,
-0.031850025057792664,
0.07726158201694489,
-0.023830469697713852,
0.025607161223888397,
0.059136077761650085,
-0.04384675994515419,
0.009747346863150597,
-0.026699254289269447,
-0.01799510233104229,
-0.022803576663136482,
0.05506110191345215,
0.00005217881698627025,
-0.035403408110141754,
-0.04808473959565163,
0.03595760464668274,
-0.011524037458002567,
-0.010358593426644802,
-0.013105128891766071,
-0.005725343711674213,
0.009005701169371605,
-0.01349632628262043,
-0.057995084673166275,
-0.0019193144980818033,
-0.01619396172463894,
0.014506921172142029,
0.04136917367577553,
-0.004286876879632473,
-0.041075777262449265,
-0.02259167656302452,
0.007697633001953363,
-0.021581081673502922,
-0.033202920109033585,
0.02356967143714428,
-0.007734308019280434,
0.01400162372738123,
0.007102686446160078,
0.038793787360191345,
0.03377341479063034,
-0.048052139580249786,
0.047758739441633224,
0.0041075777262449265,
-0.043194763362407684,
0.03142622858285904,
0.013740825466811657,
0.020896486937999725,
-0.006067642010748386,
-0.00568051915615797,
-0.03263242170214653,
0.03403421491384506,
0.0004133555630687624,
-0.01300732884556055,
-0.04306436702609062,
0.017196405678987503,
0.006939687300473452,
0.02484106458723545,
0.0117929857224226,
0.002966583939269185,
-0.004694374278187752,
-0.02938874065876007,
-0.03452321141958237,
-0.042021170258522034,
0.0036837798543274403,
0.05059492588043213,
0.012534631416201591,
0.009347999468445778,
0.006776688154786825,
0.012901379726827145,
-0.06086386740207672,
0.011548487469553947,
0.024107567965984344,
-0.025020364671945572,
0.09225749969482422,
-0.0008745921077206731,
-0.026275457814335823,
0.010863890871405602,
-0.016218410804867744,
0.034327611327171326,
-0.003954765852540731,
0.03131213039159775,
0.020847586914896965,
0.009682146832346916,
0.05059492588043213,
-0.03277911990880966,
-0.019885892048478127,
-0.005427870433777571,
0.055680498480796814,
-0.018418898805975914,
0.04808473959565163,
0.007355335168540478,
0.0279543474316597,
0.04622654989361763,
0.004751424305140972,
-0.008092906326055527,
0.042412370443344116,
-0.01300732884556055,
0.023096974939107895,
0.015069267712533474,
0.027775049209594727,
0.056723691523075104,
-0.006393640302121639,
-0.01920129545032978,
0.003671555081382394,
-0.006365115288645029,
-0.001709453179500997,
-0.017620204016566277,
-0.037685394287109375,
-0.02365117147564888,
0.030888332054018974,
0.019902192056179047,
0.001021800679154694,
0.05424610525369644,
0.027563149109482765,
0.027481650933623314,
0.03367561846971512,
-0.0065281144343316555,
-0.016202112659811974,
0.046748146414756775,
-0.00760390842333436,
-0.006691113580018282,
-0.05975547432899475,
0.007102686446160078,
0.06118986755609512,
0.01925019547343254,
0.008329254575073719,
0.026405856013298035,
-0.004286876879632473,
0.014531371183693409,
0.01931539550423622,
-0.02130398340523243,
0.042412370443344116,
-0.022086380049586296,
0.018712298944592476,
0.02590055949985981,
0.0006550526595674455,
0.010782390832901001,
0.02598205767571926,
0.05525669828057289,
0.03957618400454521,
-0.021923379972577095,
0.054604701697826385,
0.027432750910520554,
-0.04081497713923454,
0.000887326430529356,
0.04277096688747406,
-0.0192175954580307,
-0.024140167981386185,
0.0584188811480999,
0.039869584143161774,
0.029519138857722282,
0.019445793703198433,
0.026242857798933983,
0.03020373545587063,
-0.018370000645518303,
-0.06885082274675369,
-0.019983692094683647,
-0.05698448792099953,
-0.019983692094683647,
-0.0518663190305233,
-0.01234718319028616,
0.01617766171693802,
0.0019590456504374743,
-0.008533003740012646,
-0.013072528876364231,
-0.008109205402433872,
-0.03709859773516655,
0.017261605709791183,
0.04299916699528694,
-0.0008730639819987118,
-0.02252647653222084,
-0.03527300804853439,
0.02361857146024704,
0.003076608292758465,
-0.027791349217295647,
-0.02004889026284218,
0.007991031743586063,
0.01529746688902378,
0.01006519515067339,
-0.015362665988504887,
0.013308877125382423,
-0.010334143415093422,
-0.0360880047082901,
-0.07243680208921432,
0.002361449645832181,
0.01688670739531517,
0.033137720078229904,
0.006450689863413572,
0.0013518738560378551,
0.0028973091393709183,
0.007176036015152931,
0.02378156967461109,
0.008581902831792831,
0.014441721141338348,
0.004462100565433502,
-0.0025325987953692675,
0.014645470306277275,
-0.013162177987396717,
-0.03475141152739525,
-0.06187446415424347,
0.027660949155688286,
0.0007691520731896162,
-0.018484098836779594,
-0.021206185221672058,
0.012371632270514965,
0.010676441714167595,
-0.023292573168873787,
0.005179296713322401,
0.011475137434899807,
0.03380601480603218,
0.0020558263640850782,
-0.014156472869217396,
0.045639749616384506,
-0.0060880170203745365,
0.03049713373184204,
-0.0019376518903300166,
0.03817439079284668,
-0.004152402281761169,
-0.027840249240398407,
-0.015362665988504887,
0.04638954624533653,
-0.01350447628647089,
0.02348817139863968,
0.02588425949215889,
-0.03693559765815735,
0.03484921157360077,
0.032110825181007385,
0.02570495940744877,
0.009731046855449677,
-0.017473503947257996,
-0.02237977832555771,
0.030872032046318054,
-0.011687036603689194,
0.009201300330460072,
0.02485736459493637,
-0.033154018223285675,
0.05290951207280159,
0.009372448548674583,
-0.03178482875227928,
0.04283616691827774,
0.006617764011025429,
-0.016047263517975807,
0.005725343711674213,
-0.01298287883400917,
-0.023357773199677467,
-0.008744901977479458,
0.008956801146268845,
0.032176025211811066,
-0.038728587329387665,
0.004121840000152588,
-0.0235044714063406,
0.013911974616348743,
0.019771791994571686,
-0.03396901488304138,
-0.026112457737326622,
-0.0007115930202417076,
-0.005460470449179411,
-0.04743274301290512,
0.039869584143161774,
0.0212387852370739,
0.013064378872513771,
-0.023227373138070107,
-0.0034005690831691027,
0.02378156967461109,
0.008899751119315624,
-0.0005101363058201969,
0.0006127748056314886,
-0.0041646272875368595,
-0.010440093465149403,
0.019625093787908554,
-0.028524843975901604,
0.0005791562143713236,
0.015721265226602554,
-0.00908720027655363,
0.005036672577261925,
0.03820699080824852,
0.012102684006094933,
0.036511801183223724,
0.004914423450827599,
0.05662589147686958,
0.01011409517377615,
0.0010778316063806415,
-0.015110017731785774,
-0.019999990239739418,
0.04710674285888672,
-0.002628360642120242,
0.018353700637817383,
-0.03941318392753601,
0.04730234295129776,
0.005411570426076651,
-0.013732675462961197,
0.03484921157360077,
0.014661770313978195,
-0.04417276009917259,
0.019853292033076286,
0.005281171295791864,
-0.017343105748295784,
0.035403408110141754,
0.01177668571472168,
-0.005154846701771021,
0.006813362706452608,
0.005851668305695057,
0.005757943727076054,
0.042118970304727554,
-0.01677260920405388,
0.03585980460047722,
0.01672370918095112,
-0.02017929032444954,
-0.004011815879493952,
-0.06197226420044899,
0.0340668149292469,
0.03823959082365036,
0.011972284875810146,
-0.004861448425799608,
0.03163812682032585,
-0.015354515984654427,
-0.022803576663136482,
-0.04723714292049408,
-0.018907897174358368,
-0.0012897304259240627,
0.008679702877998352,
0.024123867973685265,
0.01529746688902378,
-0.00037795418757013977,
0.017343105748295784,
0.02699265256524086,
0.008598202839493752,
0.01897309720516205,
-0.02577015943825245,
0.035338208079338074,
0.0279543474316597,
0.04746534302830696,
0.004568050149828196,
0.00804808083921671,
-0.01916869543492794,
-0.0026955977082252502,
0.02575385943055153,
-0.040977977216243744,
-0.021010585129261017,
0.05297471210360527,
-0.0041075777262449265,
-0.018907897174358368,
-0.017277905717492104,
0.001074775354936719,
-0.0357620045542717,
-0.027775049209594727,
-0.004792173858731985,
0.02365117147564888,
0.020994285121560097,
0.001515891752205789,
-0.000494091073051095,
-0.004360226448625326,
-0.012803580611944199,
0.010423793457448483,
0.005105947144329548,
0.019804392009973526,
0.030937232077121735,
0.037913594394922256,
0.0017420529620721936,
-0.006495514418929815,
0.042118970304727554,
-0.03850039094686508,
0.01301547884941101,
0.0026039108633995056,
-0.031018730252981186,
-0.011507737450301647,
-0.03631620109081268,
0.004089240450412035,
-0.03393641486763954,
0.013806024566292763,
-0.030774232000112534,
0.0035920930095016956,
0.0540505051612854,
-0.03259982168674469,
-0.012656881473958492,
0.0034942934289574623,
-0.003015483496710658,
-0.011483287438750267,
-0.011246939189732075,
-0.01230643317103386,
0.01622656174004078,
0.012925829738378525,
-0.019445793703198433,
0.026308055967092514,
0.007090461440384388,
0.007538708858191967,
0.01349632628262043,
0.024156467989087105,
-0.011002440005540848,
0.06373265385627747,
0.037717994302511215,
-0.0520293153822422,
0.033349618315696716,
0.0317196287214756,
-0.028687844052910805,
0.0064751398749649525,
0.008451503701508045,
-0.01012224517762661,
0.04169517382979393,
-0.024335768073797226,
0.04267316684126854,
-0.010986139997839928,
-0.03732679784297943,
-0.03869599103927612,
0.023031774908304214,
-0.03413201496005058,
0.010187444277107716,
0.002371637150645256,
-0.035305608063936234,
0.06454765051603317,
-0.04479215666651726,
-0.0654604434967041,
-0.008630802854895592,
-0.038109190762043,
-0.03219232335686684,
0.01345557626336813,
0.015378965996205807,
-0.00963324774056673,
0.017163805663585663,
-0.007986956275999546,
-0.04710674285888672,
0.05144251883029938,
0.024515066295862198,
-0.03048083372414112,
0.012599831447005272,
-0.0033679690677672625,
0.008891601115465164,
0.001770577859133482,
0.005717193707823753,
0.02353707142174244,
0.03416461497545242,
0.0006183778750710189,
-0.016609609127044678,
-0.03295842185616493,
0.001146087539382279,
0.0017043594270944595,
-0.014506921172142029,
0.01003259513527155,
-0.017261605709791183,
-0.02831294573843479,
-0.0453137531876564,
-0.025476761162281036,
-0.08886711299419403,
-0.04929093271493912,
-0.015990212559700012,
0.04397716000676155,
-0.01920129545032978,
0.01709860749542713,
-0.02920944057404995,
0.0010014257859438658,
-0.003541155718266964,
0.012966579757630825,
-0.03299102187156677,
0.020994285121560097,
-0.009755496867001057,
0.007726158015429974,
-0.003209044924005866,
-0.0009204355883412063,
0.004242051858454943,
-0.017212705686688423,
-0.0032579447142779827,
-0.03458841145038605,
-0.01403422374278307,
-0.002174000721424818,
-0.02373267151415348,
0.051149122416973114,
-0.024205368012189865,
-0.0041727772913873196,
-0.026226557791233063,
-0.043162163347005844,
-0.04746534302830696,
0.018679698929190636,
0.017229005694389343,
-0.005097797140479088,
0.0017013032920658588,
-0.009779946878552437,
-0.017620204016566277,
-0.012933979742228985,
0.07113280892372131,
0.01529746688902378,
0.008842702023684978,
0.019853292033076286,
-0.01640585996210575,
0.02030968852341175,
0.03520780801773071,
0.027432750910520554,
-0.048932332545518875,
-0.010317843407392502,
0.002436836715787649,
-0.01677260920405388,
-0.0112876882776618,
-0.021792981773614883,
-0.003080683294683695,
0.0657864436507225,
-0.025199662894010544,
-0.003553380724042654,
-0.026324355974793434,
0.008997551165521145,
-0.0451507531106472
] |
The rise of mobile AI accelerators allows latency-sensitive applications to
execute lightweight Deep Neural Networks (DNNs) on the client side. However,
critical applications require powerful models that edge devices cannot host and
must therefore offload requests, where the high-dimensional data will compete
for limited bandwidth. This work proposes shifting away from focusing on
executing shallow layers of partitioned DNNs. Instead, it advocates
concentrating the local resources on variational compression optimized for
machine interpretability. We introduce a novel framework for resource-conscious
compression models and extensively evaluate our method in an environment
reflecting the asymmetric resource distribution between edge devices and
servers. Our method achieves 60% lower bitrate than a state-of-the-art SC
method without decreasing accuracy and is up to 16x faster than offloading with
existing codec standards. | [
-0.02835053578019142,
0.008201951161026955,
-0.02519409917294979,
-0.0008172061061486602,
0.050885576754808426,
0.021062036976218224,
-0.006140702869743109,
0.044343143701553345,
-0.03330518305301666,
0.06052705645561218,
0.0037470723036676645,
-0.04281275346875191,
0.02452455274760723,
-0.0028312276117503643,
0.005466373637318611,
-0.013563110493123531,
-0.0007430776604451239,
-0.04308057203888893,
0.017685607075691223,
-0.04327186942100525,
0.028178365901112556,
-0.035581644624471664,
0.0022728731855750084,
-0.017857776954770088,
0.03504600748419762,
0.05195685103535652,
-0.004615092184394598,
0.01466308068484068,
-0.04801608994603157,
0.00911540538072586,
0.03139219060540199,
-0.005628977902233601,
-0.049546483904123306,
-0.034797318279743195,
-0.032099999487400055,
-0.012549225240945816,
0.04889606684446335,
-0.00026079456438310444,
0.0008255754364654422,
0.03567729517817497,
-0.007183283567428589,
-0.0022633082699030638,
-0.041550178080797195,
0.025557568296790123,
0.01697780005633831,
-0.05191859230399132,
-0.036805957555770874,
-0.006609385833144188,
0.025825386866927147,
-0.030110487714409828,
0.00797717459499836,
-0.051344696432352066,
0.04419010505080223,
0.014414391480386257,
0.00016320210124831647,
0.03508426621556282,
0.09702693670988083,
0.043348390609025955,
0.07143110781908035,
0.025155840441584587,
-0.030780034139752388,
-0.011640554293990135,
-0.037743326276540756,
-0.0008907367009669542,
-0.008675416931509972,
-0.01832645945250988,
0.00854150764644146,
0.05888188257813454,
-0.028293145820498466,
-0.010253635235130787,
-0.07835613936185837,
-0.04633265733718872,
-0.040172822773456573,
0.0002760387142188847,
0.02385500632226467,
-0.0007221543346531689,
0.01934991031885147,
0.052913349121809006,
0.0505794994533062,
-0.0016427815426141024,
0.037819843739271164,
0.03160262107849121,
0.008029782213270664,
-0.009421483613550663,
0.07667270302772522,
-0.008307166397571564,
-0.01208054181188345,
-0.052224669605493546,
0.03701638802886009,
0.015150893479585648,
-0.051995113492012024,
-0.020889868959784508,
-0.03418515995144844,
-0.02540452778339386,
0.03194696083664894,
0.012252711690962315,
-0.047518711537122726,
-0.030187007039785385,
-0.027700118720531464,
-0.040096305310726166,
-0.01466308068484068,
0.04858998581767082,
0.003491209587082267,
-0.031200893223285675,
0.021961143240332603,
-0.04128235951066017,
-0.008751936256885529,
-0.018469933420419693,
-0.005456808488816023,
0.11393778026103973,
0.015265673398971558,
-0.010454499162733555,
-0.0036370751913636923,
-0.03200434893369675,
-0.018278634175658226,
-0.011114480905234814,
-0.043463170528411865,
-0.04292753338813782,
-0.0002944213629234582,
-0.03181305155158043,
0.0143378721550107,
0.012453575618565083,
-0.02205679379403591,
0.03544773533940315,
-0.033783432096242905,
0.04101454094052315,
0.00006583381036762148,
-0.06477389484643936,
0.02351066656410694,
-0.021521154791116714,
0.027948807924985886,
0.003342952812090516,
0.00021924678003415465,
-0.00866585224866867,
0.0018556019058451056,
0.008618026971817017,
0.051765553653240204,
0.03363039344549179,
0.01619347371160984,
-0.007269368041306734,
0.07254064083099365,
0.012185756117105484,
-0.010483194142580032,
0.013304856605827808,
0.03290345519781113,
0.02190375328063965,
-0.018077770248055458,
0.06890595704317093,
-0.022860249504446983,
0.025251489132642746,
-0.03967544436454773,
0.04235363379120827,
-0.029058342799544334,
0.06458259373903275,
0.06794945895671844,
0.01477786060422659,
-0.005796364508569241,
-0.030990464612841606,
-0.015935219824314117,
0.03866156190633774,
0.019837722182273865,
-0.01552392728626728,
0.01865166798233986,
0.05601239576935768,
0.049661263823509216,
0.002771446481347084,
0.054022882133722305,
-0.019646422937512398,
-0.03979022428393364,
0.04675351455807686,
0.011927503161132336,
0.023319367319345474,
0.0027618815656751394,
0.011975327506661415,
-0.0062124403193593025,
0.027853157371282578,
0.03609815239906311,
-0.057389747351408005,
-0.07353539764881134,
0.027623599395155907,
-0.04484052211046219,
0.01343876589089632,
0.03056960552930832,
-0.027049701660871506,
0.028943562880158424,
0.025997556746006012,
0.05264553055167198,
0.024811500683426857,
-0.0027284042444080114,
-0.007632836699485779,
0.011487514711916447,
0.03215738758444786,
0.028044456616044044,
-0.05444374307990074,
0.009024538099765778,
-0.1068214550614357,
0.012606614269316196,
-0.04124410077929497,
0.043004050850868225,
0.010607538744807243,
-0.02607407607138157,
-0.04824564978480339,
-0.05517067760229111,
0.028962692245841026,
0.009321051649749279,
-0.029861798509955406,
-0.005346811376512051,
-0.008780631236732006,
0.044802263379096985,
-0.0674138218164444,
0.012444010004401207,
-0.010540584102272987,
-0.04200929403305054,
-0.048972584307193756,
0.004524225369095802,
0.018154289573431015,
0.002840792527422309,
-0.024715851992368698,
-0.06052705645561218,
0.02507931925356388,
0.00791978556662798,
-0.017676042392849922,
-0.0048613897524774075,
-0.03313301503658295,
-0.015896961092948914,
-0.05409940332174301,
-0.016269993036985397,
-0.04411358758807182,
0.02033510059118271,
0.051306433975696564,
0.023988915607333183,
0.0348929688334465,
0.027623599395155907,
-0.026054944843053818,
0.047518711537122726,
-0.04656221717596054,
0.0325782485306263,
-0.008842803537845612,
-0.04449618607759476,
0.00989016704261303,
-0.04246841371059418,
0.041550178080797195,
0.00887628085911274,
-0.018957747146487236,
0.025882776826620102,
-0.03473992645740509,
0.007910219952464104,
0.04170321673154831,
-0.030894814059138298,
-0.0337643027305603,
-0.02090899832546711,
-0.024773241952061653,
0.03384082019329071,
-0.012664004229009151,
-0.03764767572283745,
-0.027700118720531464,
0.04675351455807686,
-0.022324612364172935,
-0.01134403981268406,
-0.02856096439063549,
0.04464922472834587,
-0.05876710265874863,
-0.027738377451896667,
0.05000559985637665,
-0.02067943848669529,
-0.012252711690962315,
0.0438075065612793,
0.03554338589310646,
-0.027834028005599976,
0.014270917512476444,
-0.027355780825018883,
-0.024008044973015785,
-0.0438075065612793,
-0.03697812929749489,
0.014137008227407932,
-0.0032496945932507515,
-0.0109614422544837,
-0.00003670926162158139,
0.027929676696658134,
0.027374910190701485,
0.013917014002799988,
0.02584451623260975,
-0.00008219885785365477,
-0.0045027039013803005,
-0.06079487502574921,
-0.014720470644533634,
-0.052569009363651276,
-0.027164481580257416,
-0.08639070391654968,
0.024256734177470207,
-0.01865166798233986,
0.021674195304512978,
-0.04679177328944206,
-0.010942311957478523,
0.04185625538229942,
-0.023434147238731384,
-0.039866745471954346,
-0.013792669400572777,
0.06726078689098358,
-0.01231966633349657,
-0.06106269359588623,
0.015150893479585648,
0.028293145820498466,
0.01867079734802246,
-0.0029747020453214645,
0.008737589232623577,
-0.023701965808868408,
0.07896829396486282,
0.025232359766960144,
0.01966555416584015,
0.039866745471954346,
0.009072362445294857,
-0.028369665145874023,
-0.02584451623260975,
-0.021215077489614487,
0.06710774451494217,
0.023587185889482498,
-0.018699493259191513,
0.001471807947382331,
-0.02194201387465,
0.05551501736044884,
0.036920737475156784,
-0.09136448055505753,
0.020602919161319733,
0.0006169397966004908,
0.015485666692256927,
0.027814898639917374,
0.06599821150302887,
-0.04220059514045715,
0.02553843893110752,
-0.06595995277166367,
-0.026169724762439728,
-0.030320916324853897,
-0.01129621546715498,
0.007388930302113295,
0.0438075065612793,
-0.033228665590286255,
0.02303241938352585,
-0.014825684949755669,
-0.01833602413535118,
-0.02081334963440895,
-0.036710310727357864,
-0.0062793949618935585,
0.007575446739792824,
0.02374022640287876,
-0.03887198865413666,
-0.10858140140771866,
0.010971006937325,
0.03045482560992241,
-0.014089182950556278,
0.0011723052011802793,
-0.0004967800341546535,
-0.012998778373003006,
0.015619576908648014,
0.05490285903215408,
0.006633298471570015,
-0.028847914189100266,
0.032444339245557785,
-0.024428902193903923,
0.043118830770254135,
0.031200893223285675,
0.0022585256956517696,
-0.025232359766960144,
-0.004091410897672176,
-0.01956990361213684,
-0.0143378721550107,
-0.017896035686135292,
-0.015198718756437302,
-0.0002534714003559202,
0.04541442170739174,
-0.0050550801679492,
0.034816447645425797,
-0.04935518279671669,
0.0022083097137510777,
-0.05429070070385933,
-0.012243146076798439,
0.029995707795023918,
-0.05892014130949974,
-0.002771446481347084,
0.061789628118276596,
0.006800685077905655,
0.026380155235528946,
-0.010368414223194122,
-0.027623599395155907,
0.044687483459711075,
0.03219565004110336,
0.00837412104010582,
-0.046944815665483475,
-0.008345426060259342,
0.051995113492012024,
-0.0063367849215865135,
-0.052569009363651276,
-0.006891552358865738,
-0.08057520538568497,
0.061330512166023254,
0.0314495824277401,
0.023108938708901405,
-0.04181799665093422,
-0.009153665043413639,
-0.020258581265807152,
-0.07850917428731918,
0.01696823537349701,
0.023013290017843246,
0.005882448982447386,
0.00517464242875576,
0.036691177636384964,
0.02393152564764023,
-0.03202347829937935,
0.032425206154584885,
-0.04070845991373062,
0.027853157371282578,
-0.037953753024339676,
-0.03540947288274765,
-0.05050297826528549,
0.02641841396689415,
-0.0009451374062336981,
-0.011965762823820114,
-0.05914970114827156,
0.01597348041832447,
-0.012377055361866951,
-0.027298390865325928,
-0.008331078104674816,
0.03730333596467972,
0.013658760115504265,
0.017580393701791763,
0.004349664784967899,
-0.008680199272930622,
-0.012300536036491394,
-0.0017061494290828705,
0.016030870378017426,
0.010311025194823742,
-0.034338198602199554,
-0.00020983126887585968,
-0.0821055993437767,
-0.01650911755859852,
0.024027174338698387,
-0.027355780825018883,
0.04262145236134529,
-0.07927437126636505,
-0.0005356376641429961,
-0.020411619916558266,
-0.014318741858005524,
-0.0011537730460986495,
-0.014911769889295101,
-0.05195685103535652,
-0.018412543460726738,
-0.009373659268021584,
-0.056394994258880615,
-0.038948509842157364,
-0.062248747795820236,
-0.08332991600036621,
0.019952502101659775,
-0.06442955881357193,
-0.04342490807175636,
0.009976251050829887,
-0.026131466031074524,
-0.03910154849290848,
-0.004079454578459263,
0.01454830076545477,
-0.09373658895492554,
0.020966388285160065,
0.023070678114891052,
0.006614168640226126,
-0.024581942707300186,
-0.005743757355958223,
0.03812592104077339,
-0.03845113143324852,
-0.06018271669745445,
-0.009258879348635674,
-0.007541969418525696,
-0.018575148656964302,
-0.03651900961995125,
-0.0015303932595998049,
-0.024141954258084297,
0.017695171758532524,
0.014242222532629967,
-0.01310399267822504,
-0.08072824776172638,
-0.02731752023100853,
-0.01371615007519722,
0.026246244087815285,
-0.027948807924985886,
0.03250172734260559,
0.00047047637053765357,
0.01966555416584015,
0.0314878411591053,
-0.02360631711781025,
0.0003213228192180395,
0.026284504681825638,
-0.02349153719842434,
0.03267389535903931,
-0.01219532173126936,
-0.007264585699886084,
-0.01956990361213684,
-0.05306638777256012,
-0.03812592104077339,
-0.015992609784007072,
-0.012673569843173027,
0.001985924318432808,
0.057619307190179825,
-0.049852561205625534,
0.0179916862398386,
0.03217652067542076,
0.002534713828936219,
-0.04617961868643761,
-0.015896961092948914,
0.0009798103710636497,
0.018517758697271347,
-0.023242847993969917,
0.012444010004401207,
0.05949404090642929,
0.02404630370438099,
0.012625744566321373,
-0.025270618498325348,
-0.004309013485908508,
0.02360631711781025,
-0.013955273665487766,
-0.05540023744106293,
0.02722187153995037,
0.02429499290883541,
-0.005169859621673822,
-0.0025944949593394995,
0.015877829864621162,
0.04032586142420769,
-0.027929676696658134,
0.05528545752167702,
0.017733432352542877,
-0.035945113748311996,
0.04889606684446335,
0.0024725417606532574,
0.023816745728254318,
0.01540914736688137,
-0.027011441066861153,
-0.02404630370438099,
-0.026341894641518593,
0.009239749051630497,
0.01664302684366703,
0.008455422706902027,
-0.05815494433045387,
0.002465368015691638,
0.012252711690962315,
0.036136411130428314,
0.018307330086827278,
0.061904408037662506,
-0.0528368279337883,
0.023013290017843246,
0.038393743336200714,
-0.06129224970936775,
-0.04193277657032013,
-0.0009780169930309057,
0.0032664332538843155,
-0.03690160810947418,
0.03477818891406059,
0.024103693664073944,
-0.04078498110175133,
-0.04621787741780281,
0.0286566149443388,
-0.032999105751514435,
-0.05666281282901764,
-0.02081334963440895,
-0.006360697094351053,
0.028694873675704002,
0.01832645945250988,
-0.004875737242400646,
0.01642303355038166,
-0.041205838322639465,
0.0024306948762387037,
0.04082323983311653,
-0.007365017663687468,
0.006394174415618181,
0.0035533818881958723,
-0.015437842346727848,
-0.04824564978480339,
-0.004758566617965698,
0.010980571620166302,
0.02328110858798027,
0.030053097754716873,
0.005279856733977795,
0.025021931156516075,
0.02597842551767826,
-0.008106301538646221,
-0.0404789038002491,
0.0315261036157608,
0.035026878118515015,
0.015657836571335793,
0.01129621546715498,
-0.02100464701652527,
-0.059417519718408585,
0.0073984949849545956,
-0.05306638777256012,
0.030282657593488693,
0.021884623914957047,
-0.01664302684366703,
-0.0006504171760752797,
-0.012941388413310051,
-0.01912035048007965,
0.02439064346253872,
-0.014041358605027199,
0.011449255049228668,
-0.02764272876083851,
-0.023759355768561363,
0.050770796835422516,
0.016920410096645355,
0.030760904774069786,
-0.018288200721144676,
-0.008675416931509972,
0.026609713211655617,
0.03504600748419762,
0.0062459176406264305,
0.027948807924985886,
-0.009665390476584435,
0.017130840569734573,
0.04767175018787384,
0.005882448982447386,
-0.0012446402106434107,
-0.0010796446586027741,
-0.002030162373557687,
0.004002934787422419,
-0.003792505944147706,
0.005538110621273518,
0.04786305129528046,
-0.009579305537045002,
0.04059368371963501,
0.024677591398358345,
0.0048948670737445354,
0.01618390902876854,
-0.004978560842573643,
-0.03542860597372055,
0.007695008534938097,
-0.02115768752992153,
0.0023147198371589184,
0.02856096439063549,
-0.04663873463869095,
0.0012458357959985733,
-0.028752263635396957,
-0.01687258668243885,
-0.0416266992688179,
0.005298986565321684,
-0.032425206154584885,
-0.03395560011267662,
-0.06645733118057251,
0.010951876640319824,
-0.021540286019444466,
0.013190077617764473,
-0.002021793043240905,
-0.011152741499245167,
-0.005222467239946127,
0.01777169294655323,
0.0174273531883955,
0.04843694716691971,
0.04059368371963501,
0.0472126342356205,
-0.004084236919879913,
0.05536197870969772,
-0.03768593445420265,
-0.02393152564764023,
0.06446781754493713,
-0.03167914226651192,
0.004978560842573643,
0.026399284601211548,
0.06117747351527214,
0.0286566149443388,
-0.01597348041832447,
0.01594478450715542,
0.03303736448287964,
-0.059532299637794495,
-0.005805929657071829,
0.04916388541460037,
-0.03856591135263443,
0.07146936655044556,
0.004686829634010792,
0.0005655281711369753,
-0.007508492097258568,
0.021674195304512978,
0.009397570975124836,
-0.009517133235931396,
0.009038885124027729,
-0.0038833729922771454,
0.0015220239292830229,
0.0020696178544312716,
-0.012970083393156528,
0.017169099301099777,
-0.021884623914957047,
0.031640879809856415,
-0.035792071372270584,
-0.013649195432662964,
0.03397472947835922,
0.020143801346421242,
-0.045031823217868805,
0.017063885927200317,
0.0075228395871818066,
-0.017016060650348663,
0.032769545912742615,
-0.003909676801413298,
-0.001877123024314642,
0.020641179755330086,
0.027183610945940018,
0.005203337408602238,
0.03290345519781113,
-0.018967311829328537,
-0.0002718540490604937,
-0.0015698487404733896,
0.000993560068309307,
-0.020717699080705643,
-0.009378441609442234,
0.02102377824485302,
0.010999701917171478,
0.010081465356051922,
-0.05482633784413338,
-0.007570664398372173,
0.01219532173126936,
0.0382598340511322,
0.027508819475769997,
0.015877829864621162,
0.041205838322639465,
0.027011441066861153,
-0.01100926660001278,
0.011401429772377014,
-0.030512215569615364,
0.012664004229009151,
0.010703188367187977,
0.02090899832546711,
0.012664004229009151,
-0.07816483825445175,
-0.013209206983447075,
0.01388831902295351,
0.012233581393957138,
-0.004672482144087553,
-0.018498629331588745,
0.0010790468659251928,
0.012683134526014328,
-0.02618885599076748,
-0.026456674560904503,
-0.007800223305821419,
0.04621787741780281,
-0.02733664959669113,
0.01719779521226883,
0.04185625538229942,
0.013467460870742798,
0.011621423996984959,
0.00011500367691041902,
-0.04977604001760483,
0.008756719529628754,
-0.024792371317744255,
-0.02404630370438099,
0.004849433898925781,
0.005251161754131317,
0.031009593978524208,
-0.044343143701553345,
-0.005700714886188507,
0.020296841859817505,
-0.018374284729361534,
0.000483030395116657,
-0.04602658003568649,
-0.06940333545207977,
0.022630691528320312,
-0.0015016983961686492,
0.022573301568627357,
0.006738512776792049,
-0.014529171399772167,
0.0449553020298481,
0.04461096599698067,
0.009316269308328629,
0.015390017069876194,
0.06699296832084656,
0.002726013073697686,
0.007078068796545267,
0.003292736830189824,
0.026380155235528946,
0.0018926660995930433,
0.036059893667697906,
0.003871416673064232,
0.014701340347528458,
-0.049316924065351486,
-0.01651868224143982,
0.025921035557985306,
0.0015555012505501509,
0.016011739149689674,
-0.013582240790128708,
0.024658462032675743,
-0.026150595396757126,
0.03129654377698898,
0.018632538616657257,
0.05926448106765747,
-0.007871960289776325,
-0.0023924352135509253,
0.0021007040049880743,
-0.01876644790172577,
0.004540964029729366,
0.03542860597372055,
0.0034362112637609243,
-0.009794517420232296,
0.042697973549366,
-0.03561990335583687,
0.05004386231303215,
-0.024352382868528366,
0.012061412446200848,
-0.00137735391035676,
0.02374022640287876,
-0.057389747351408005,
0.10238330811262131,
-0.028178365901112556,
0.016671722754836082,
-0.021215077489614487,
-0.0562419518828392,
0.004430966917425394,
-0.02259243093430996,
-0.03200434893369675,
0.010291894897818565,
0.016729110851883888,
0.0438075065612793,
-0.031220022588968277,
-0.0026614496018737555,
0.02406543493270874,
0.012826608493924141,
-0.02676275186240673,
0.0003371647617314011,
0.026896661147475243,
-0.019531644880771637,
-0.05662455037236214,
0.012597049586474895,
0.02766185812652111,
0.034682538360357285,
-0.001318768598139286,
-0.05937926098704338,
-0.06320524215698242,
0.023912394419312477,
0.030741775408387184,
0.015619576908648014,
-0.007412842474877834,
0.014739600010216236,
0.01342920120805502,
-0.02261156029999256,
0.015370887704193592,
-0.06163658946752548,
0.007035026792436838,
-0.013830929063260555,
0.0292305126786232,
-0.01696823537349701,
0.04667699709534645,
-0.0048948670737445354,
0.004703568294644356,
-0.005394636187702417,
-0.012061412446200848,
-0.007675878703594208,
-0.02203766256570816,
0.0202203206717968,
0.005332463886588812,
0.008799761533737183,
-0.028101846575737,
-0.0022334177047014236,
0.003357300302013755,
0.029880929738283157,
-0.013524850830435753,
-0.032329559326171875,
-0.008221081458032131,
0.024103693664073944,
-0.01890035718679428,
-0.0061215730383992195,
-0.0031133939046412706,
-0.00826890580356121,
0.024543682113289833,
-0.031239153817296028,
-0.05995315685868263,
0.013237901963293552,
-0.04296579211950302,
-0.005796364508569241,
-0.02000989206135273,
-0.0015566969523206353,
-0.03776245564222336,
-0.020430751144886017,
-0.02314719930291176,
0.004701176658272743,
0.020966388285160065,
-0.020832479000091553,
-0.0032664332538843155,
0.005270292051136494,
0.009014973416924477,
0.0438075065612793,
-0.008656286634504795,
0.022783730179071426,
0.028981823474168777,
0.04262145236134529,
0.016834326088428497,
0.037035517394542694,
0.0044357492588460445,
-0.020545529201626778,
-0.049431703984737396,
-0.01343876589089632,
0.006116790696978569,
-0.005040732678025961,
0.0071641537360847,
-0.0016403902554884553,
0.0026471021119505167,
0.011497079394757748,
-0.0012279014335945249,
-0.0077476161532104015,
0.033668652176856995,
0.02213331311941147,
-0.019971633329987526,
0.01445265207439661,
-0.051650773733854294,
-0.029058342799544334,
-0.04193277657032013,
0.010416239500045776,
0.03529469668865204,
-0.03533295542001724,
-0.02708796039223671,
-0.006657210644334555,
-0.04809260740876198,
-0.012912693433463573,
-0.01710214465856552,
-0.022075923159718513,
-0.008077607490122318,
0.018144724890589714,
-0.0009535067365504801,
-0.023013290017843246,
-0.04464922472834587,
0.06048879399895668,
0.03971370682120323,
0.011850982904434204,
0.005122034810483456,
0.0014969159383326769,
0.026896661147475243,
-0.02328110858798027,
0.019196871668100357,
0.0106840580701828,
-0.019359475001692772,
0.0009008994675241411,
0.0038451130967587233,
-0.024983670562505722,
0.029287900775671005,
0.051995113492012024,
-0.019072527065873146,
0.036614660173654556,
0.013371811248362064,
-0.005877666641026735,
-0.010837097652256489,
-0.0006480258889496326,
-0.002532322658225894,
-0.03619380295276642,
0.026246244087815285,
0.024888020008802414,
0.03012961708009243,
0.0241610836237669,
-0.0584227629005909,
0.03047395683825016,
0.026915792375802994,
-0.009957121685147285,
0.017723867669701576,
-0.02033510059118271,
0.011401429772377014,
0.015055243857204914,
-0.028599224984645844,
-0.014538736082613468,
-0.020870737731456757,
-0.01507437415421009,
0.018967311829328537,
-0.05004386231303215,
0.04147365689277649,
0.04759523272514343,
-0.007666314020752907,
-0.0007885112427175045,
-0.00747501477599144,
-0.006580691318958998,
-0.0010838293237611651,
-0.03856591135263443,
-0.04449618607759476,
-0.02800619788467884,
0.011487514711916447,
0.035925980657339096,
-0.03296084702014923,
0.01854645274579525,
-0.004758566617965698,
0.01467264536768198,
-0.018833402544260025,
0.011277085170149803,
-0.03785810247063637,
-0.012310100719332695,
0.002068422269076109,
0.03887198865413666,
0.008732806891202927,
0.02831227518618107,
0.012597049586474895,
0.005394636187702417,
0.011544904671609402,
0.02215244248509407,
0.017169099301099777,
-0.06309046596288681,
0.008775848895311356,
-0.04281275346875191,
0.02731752023100853,
0.02100464701652527,
-0.005442460998892784,
-0.03248259797692299,
-0.019474254921078682,
0.006748077925294638,
-0.015103069134056568,
0.01642303355038166,
-0.02180810458958149,
-0.005772452335804701,
-0.03173653036355972,
-0.0029029648285359144,
0.059302739799022675,
-0.013773540034890175,
0.05723670870065689,
0.039082419127225876,
0.028580093756318092,
-0.0472126342356205,
0.03757115453481674,
-0.01023450493812561,
-0.002270482014864683,
-0.00716893607750535,
0.017733432352542877,
-0.047633491456508636,
0.02284112013876438,
-0.03688247874379158,
-0.003687291406095028,
-0.03330518305301666,
-0.008962365798652172,
0.028484445065259933,
0.0032305645290762186,
-0.012424880638718605,
-0.005514198448508978
] |
With knowledge graphs (KGs) at the center of numerous applications such as
recommender systems and question answering, the need for generalized pipelines
to construct and continuously update such KGs is increasing. While the
individual steps that are necessary to create KGs from unstructured (e.g. text)
and structured data sources (e.g. databases) are mostly well-researched for
their one-shot execution, their adoption for incremental KG updates and the
interplay of the individual steps have hardly been investigated in a systematic
manner so far. In this work, we first discuss the main graph models for KGs and
introduce the major requirement for future KG construction pipelines. Next, we
provide an overview of the necessary steps to build high-quality KGs, including
cross-cutting topics such as metadata management, ontology development, and
quality assurance. We then evaluate the state of the art of KG construction
w.r.t the introduced requirements for specific popular KGs as well as some
recent tools and strategies for KG construction. Finally, we identify areas in
need of further research and improvement. | [
0.01438565831631422,
-0.029185064136981964,
-0.034372810274362564,
0.009086516685783863,
0.006989934016019106,
-0.03666433319449425,
-0.041311029344797134,
-0.01024023350328207,
-0.015221108682453632,
-0.020273594185709953,
0.06715428829193115,
-0.001028399565257132,
-0.007053587585687637,
-0.032144945114851,
-0.07950304448604584,
0.06123453006148338,
0.01917557418346405,
-0.0383511483669281,
-0.033577144145965576,
-0.004531323444098234,
-0.04076997563242912,
-0.03201763704419136,
-0.022899294272065163,
0.03082413785159588,
0.033608973026275635,
-0.01661352626979351,
0.02297886088490486,
-0.0014351842692121863,
-0.04172477498650551,
0.07046426832675934,
0.0022179216612130404,
0.02110108733177185,
0.00528720673173666,
-0.017186405137181282,
-0.06339874118566513,
-0.008521593175828457,
0.059133969247341156,
0.03777826577425003,
0.0089592095464468,
-0.0034114220179617405,
0.028071129694581032,
0.059165794402360916,
-0.05773359537124634,
0.027339115738868713,
-0.0013755091931670904,
-0.03593232110142708,
0.042552269995212555,
-0.03440463915467262,
-0.023424435406923294,
-0.03141292929649353,
0.013120547868311405,
-0.049076735973358154,
0.07428346574306488,
-0.02108517475426197,
-0.05079537630081177,
-0.03063317760825157,
-0.016947705298662186,
0.018857305869460106,
0.04678521677851677,
0.017138665542006493,
-0.008111824281513691,
0.03185850381851196,
-0.04490744322538376,
0.005048506893217564,
0.0447164811193943,
-0.05576033890247345,
-0.04411177709698677,
0.009062646888196468,
0.007753774523735046,
-0.011927047744393349,
-0.018761826679110527,
-0.018268512561917305,
0.017663806676864624,
-0.04917221888899803,
0.03274965286254883,
-0.026097875088453293,
0.0395287349820137,
0.0006305660353973508,
-0.0089592095464468,
0.01723414659500122,
0.02692537009716034,
0.011744043789803982,
0.014369744807481766,
-0.033608973026275635,
0.040006134659051895,
-0.0512409508228302,
0.01659761182963848,
-0.05200479179620743,
0.025365862995386124,
0.006162440404295921,
0.010383453220129013,
-0.029185064136981964,
-0.012738627381622791,
-0.054710060358047485,
-0.020369073376059532,
0.034850213676691055,
-0.01739327982068062,
-0.020018979907035828,
-0.011051814071834087,
0.018348079174757004,
-0.022151367738842964,
-0.07415615767240524,
0.0706552267074585,
0.013319464400410652,
-0.00861707329750061,
-0.024777067825198174,
0.018459472805261612,
0.0166612658649683,
-0.018045727163553238,
0.07180098444223404,
0.03063317760825157,
0.013486554846167564,
-0.005004744976758957,
-0.005887935403734446,
-0.031667545437812805,
-0.024792982265353203,
-0.0165816992521286,
-0.04541666805744171,
0.0626349002122879,
-0.06349422037601471,
0.05194113776087761,
0.029980730265378952,
0.0006086851935833693,
-0.04688069596886635,
-0.06288951635360718,
0.03787374496459961,
-0.06362152844667435,
-0.06479911506175995,
-0.033545318990945816,
0.0395287349820137,
0.0019384436309337616,
-0.004583041649311781,
-0.0356777049601078,
-0.042074866592884064,
0.06645410507917404,
-0.014648228883743286,
0.05073172599077225,
0.03739634528756142,
-0.014361788518726826,
0.041947562247514725,
0.010455063544213772,
-0.06779082119464874,
-0.0013227963354438543,
-0.05566485971212387,
0.049013085663318634,
-0.006576187442988157,
-0.020130373537540436,
0.07752978801727295,
0.0033517470583319664,
0.04201121628284454,
-0.020098546519875526,
0.019366532564163208,
-0.006452858913689852,
-0.006460815668106079,
0.005450318567454815,
-0.01218961738049984,
-0.025986483320593834,
-0.052800457924604416,
0.024681588634848595,
0.06925485283136368,
0.011600824072957039,
-0.03220859915018082,
0.012491971254348755,
0.04474830999970436,
-0.006158462259918451,
-0.02955107018351555,
0.03854210674762726,
-0.015889469534158707,
-0.02939193695783615,
0.017456931993365288,
-0.021562574431300163,
-0.0013257800601422787,
-0.06002511456608772,
0.0006479712901636958,
-0.0017435052432119846,
-0.010980203747749329,
0.05381891131401062,
0.0012591429986059666,
-0.01863452047109604,
0.03313157334923744,
-0.003061328548938036,
0.00027152133407071233,
0.03787374496459961,
0.009484349749982357,
0.03520030528306961,
0.0034710969775915146,
0.05843378230929375,
0.02955107018351555,
0.03212903067469597,
0.032383643090724945,
0.04538484290242195,
0.027052676305174828,
-0.020146287977695465,
-0.011640607379376888,
-0.010542587377130985,
-0.06645410507917404,
-0.0014441355597227812,
-0.0035148586612194777,
-0.04608502984046936,
-0.0398470014333725,
-0.038764894008636475,
-0.03504117205739021,
0.019541580229997635,
0.014019651338458061,
0.030346738174557686,
-0.01788659207522869,
0.007324114441871643,
0.01346268504858017,
-0.014067391864955425,
-0.041247375309467316,
-0.045703109353780746,
0.015308632515370846,
-0.022740161046385765,
-0.0614573135972023,
0.026702582836151123,
-0.014775535091757774,
-0.038764894008636475,
0.02743459679186344,
-0.04681704193353653,
0.0014888917794451118,
-0.002476513385772705,
-0.011218903586268425,
0.07428346574306488,
0.007773666176944971,
0.015881512314081192,
-0.03177893906831741,
-0.008235152810811996,
-0.021451180800795555,
0.02301068790256977,
0.0525776706635952,
0.0793757364153862,
0.06343057006597519,
0.010335713624954224,
-0.033036090433597565,
0.00788903795182705,
-0.00030459125991910696,
0.013979868032038212,
-0.07842093706130981,
-0.024013228714466095,
-0.006556295789778233,
0.059929635375738144,
-0.025843262672424316,
-0.0512409508228302,
-0.005175813566893339,
0.05455092713236809,
0.004901308566331863,
0.004248861689120531,
0.00957982987165451,
0.04344341531395912,
0.009715093299746513,
-0.025127161294221878,
-0.002926065120846033,
-0.0029041843954473734,
-0.01248401403427124,
-0.0027549967635422945,
0.04987240582704544,
0.04745357856154442,
0.03255869075655937,
-0.05127277970314026,
-0.040037959814071655,
0.07256482541561127,
-0.012110050767660141,
0.026607101783156395,
0.041852083057165146,
-0.0009930918458849192,
-0.026750322431325912,
0.03978334739804268,
0.0174091923981905,
0.004006183240562677,
-0.00542644876986742,
0.01985984668135643,
-0.009269519709050655,
-0.021658053621649742,
-0.04430273547768593,
-0.009126299992203712,
-0.05372343212366104,
0.02051229402422905,
-0.00898308027535677,
0.015101758763194084,
0.04178842902183533,
0.02234232798218727,
-0.05891118198633194,
-0.043857160955667496,
0.054200831800699234,
-0.04758088290691376,
-0.02496802806854248,
0.030410390347242355,
-0.0257000420242548,
-0.03338618576526642,
-0.012834107503294945,
0.031842589378356934,
-0.0012879858259111643,
-0.01739327982068062,
-0.0043204715475440025,
0.03020351752638817,
-0.0032741695176810026,
0.04474830999970436,
-0.006659732200205326,
-0.014727795496582985,
-0.013414944522082806,
0.005991372279822826,
0.021992234513163567,
-0.00928543321788311,
0.028309829533100128,
-0.02111699990928173,
0.01467209868133068,
-0.04347524046897888,
0.07211925089359283,
0.018316254019737244,
-0.04420725628733635,
0.05458275228738785,
-0.0016858193557709455,
0.0032642236910760403,
0.012826151214540005,
0.02118065394461155,
0.06260307878255844,
0.03723721206188202,
0.02181718684732914,
-0.013550207950174809,
-0.008274936117231846,
-0.0000209639583772514,
-0.06607218086719513,
-0.12501518428325653,
0.010646023787558079,
-0.005836217198520899,
0.018841393291950226,
-0.00233130413107574,
0.002476513385772705,
-0.005271293688565493,
0.012316924519836903,
-0.018825480714440346,
-0.002743061864748597,
-0.0009950809180736542,
0.011656520888209343,
0.0485675111413002,
-0.05528293922543526,
-0.0016977543709799647,
0.011736087501049042,
-0.031142404302954674,
-0.01869817264378071,
-0.004105641506612301,
0.020066719502210617,
-0.06874562054872513,
-0.006611992139369249,
0.037491828203201294,
-0.028325743973255157,
0.0006350416806526482,
0.009189953096210957,
0.0562695674598217,
0.007097349036484957,
0.0008439042721875012,
0.017075013369321823,
-0.04080180078744888,
-0.011441690847277641,
0.048281069844961166,
0.01736145280301571,
-0.009094472974538803,
-0.027195896953344345,
0.028644010424613953,
0.019557492807507515,
0.032272253185510635,
-0.045798588544130325,
-0.005490101873874664,
0.009500263258814812,
-0.07994861155748367,
0.012308967299759388,
-0.010980203747749329,
-0.017488759011030197,
-0.011648563668131828,
-0.0124760577455163,
0.00800440926104784,
-0.0030076210387051105,
0.033640798181295395,
0.01467209868133068,
0.03319522365927696,
0.027784690260887146,
-0.043825335800647736,
0.010423237457871437,
-0.012197574600577354,
0.0447164811193943,
0.013160331174731255,
-0.010287974029779434,
0.06823639571666718,
-0.0021403441205620766,
-0.004758088383823633,
0.06152096763253212,
0.026623016223311424,
0.04229765385389328,
-0.012125964276492596,
0.022883381694555283,
0.02749824896454811,
0.02689354307949543,
-0.00027500238502398133,
-0.02423601597547531,
0.03379993140697479,
-0.02622518315911293,
0.039305947721004486,
-0.025429515168070793,
0.050222497433423996,
0.04697617515921593,
-0.012826151214540005,
0.021626228466629982,
-0.005275271832942963,
0.03669615834951401,
0.056746967136859894,
-0.013836648315191269,
0.05432813987135887,
-0.0023054450284689665,
0.05321420356631279,
-0.010558499954640865,
-0.007001868914812803,
0.01020840648561716,
0.015157455578446388,
0.0058043901808559895,
0.046212337911129,
0.0436980277299881,
-0.08344954997301102,
0.04026074707508087,
0.03341801092028618,
0.008800076320767403,
-0.033036090433597565,
0.013502468355000019,
0.0358368381857872,
0.0026157551910728216,
-0.05499649792909622,
-0.005044528283178806,
0.030346738174557686,
-0.011863394640386105,
-0.03507299721240997,
-0.0649900734424591,
0.032256338745355606,
-0.014115131460130215,
0.07256482541561127,
-0.07211925089359283,
0.03386358544230461,
-0.0359959714114666,
0.0012571538100019097,
-0.019016440957784653,
0.020257679745554924,
-0.0011029932647943497,
-0.031110577285289764,
-0.022724248468875885,
0.010590326972305775,
0.039910655468702316,
-0.03077639825642109,
0.030919617041945457,
-0.03507299721240997,
-0.0012800291879102588,
-0.02046455442905426,
-0.06298499554395676,
-0.02183310128748417,
0.024013228714466095,
-0.07052791863679886,
-0.03144475817680359,
-0.010447107255458832,
0.02315390855073929,
0.07173733413219452,
-0.00022713805083185434,
0.02684580348432064,
-0.05069989711046219,
-0.026447968557476997,
0.022692421451210976,
-0.011935004033148289,
-0.039305947721004486,
-0.032383643090724945,
0.040642667561769485,
-0.03545491769909859,
-0.015563245862722397,
0.010685807093977928,
0.013231941498816013,
0.008879642933607101,
-0.0028882711194455624,
-0.01976436749100685,
0.011465560644865036,
-0.06473546475172043,
-0.002715213457122445,
0.041915733367204666,
-0.01089268084615469,
0.0030434259679168463,
-0.07364693284034729,
-0.02885088324546814,
0.08765067160129547,
-0.0023850116413086653,
0.052800457924604416,
-0.08332224190235138,
0.004551215097308159,
0.05041345953941345,
-0.0024446866009384394,
0.03924229368567467,
-0.041979387402534485,
-0.07351962476968765,
0.013534294441342354,
-0.004368211608380079,
0.04691252484917641,
0.040069788694381714,
-0.009563916362822056,
-0.0024128600489348173,
0.006222115363925695,
-0.0005022647674195468,
-0.028946364298462868,
0.013574077747762203,
-0.012778411619365215,
-0.02184901386499405,
0.018427645787596703,
0.033672623336315155,
-0.01089268084615469,
0.008871686644852161,
0.027736950665712357,
-0.00561740854755044,
0.007869145832955837,
-0.034150026738643646,
0.018284427002072334,
-0.03714173287153244,
0.0024367300793528557,
0.01090859342366457,
0.0017574293306097388,
0.00043090336839668453,
-0.0018688227282837033,
0.04041988030076027,
0.001276050810702145,
-0.007948712445795536,
-0.005529885180294514,
-0.020719166845083237,
0.015348415821790695,
-0.06419441103935242,
0.045098401606082916,
-0.023201648145914078,
0.008119781501591206,
0.09019680321216583,
-0.018793653696775436,
0.01739327982068062,
0.0018548985244706273,
-0.04548032209277153,
-0.0036342088133096695,
0.043857160955667496,
-0.017075013369321823,
0.022039974108338356,
0.0001749224029481411,
-0.013327421620488167,
-0.00591180520132184,
-0.08491357415914536,
0.010677850805222988,
-0.03141292929649353,
0.030394477769732475,
0.03013986349105835,
0.022867467254400253,
0.003481042804196477,
-0.015101758763194084,
0.03459559753537178,
0.02304251492023468,
-0.029089583083987236,
-0.01600881852209568,
0.010924506932497025,
-0.014162871986627579,
0.02367904782295227,
0.024729328230023384,
-0.010287974029779434,
-0.04357072338461876,
0.031715285032987595,
-0.016454393044114113,
0.023328954353928566,
0.021992234513163567,
-0.032367732375860214,
-0.017441019415855408,
0.00257000420242548,
-0.03927411884069443,
0.06075712665915489,
0.004774001892656088,
-0.03446829319000244,
0.01471983827650547,
0.025397688150405884,
0.0035327612422406673,
-0.029200976714491844,
-0.018777739256620407,
0.012889804318547249,
-0.0020806691609323025,
0.015547332353889942,
-0.03376810625195503,
-0.038032881915569305,
0.010638067498803139,
-0.014823275618255138,
0.009174039587378502,
0.019462013617157936,
0.0512409508228302,
-0.014878971502184868,
-0.004634759854525328,
-0.03768278658390045,
0.0021463115699589252,
0.047008004039525986,
-0.010924506932497025,
0.00891942624002695,
0.037332694977521896,
-0.02748233638703823,
-0.03605962544679642,
0.006735320668667555,
0.022787900641560555,
0.029137322679162025,
-0.007097349036484957,
0.02749824896454811,
-0.04143833369016647,
0.022215021774172783,
-0.0010990150040015578,
0.05681062117218971,
0.042043041437864304,
-0.06358969956636429,
-0.02296294830739498,
0.017059098929166794,
-0.028453050181269646,
-0.03185850381851196,
-0.028612183406949043,
-0.03500934690237045,
-0.04054718837141991,
0.07555653154850006,
-0.08612298965454102,
0.006870584096759558,
0.0009359032264910638,
0.030394477769732475,
-0.007503139320760965,
-0.021419353783130646,
-0.03069683164358139,
0.026447968557476997,
0.0075906626880168915,
0.04274322837591171,
0.0033079853747040033,
-0.030983271077275276,
0.041342854499816895,
0.036155104637145996,
0.048949431627988815,
-0.011736087501049042,
0.004654651507735252,
-0.01375708170235157,
-0.01729779876768589,
-0.03254277631640434,
-0.020369073376059532,
0.01855495385825634,
-0.01927105337381363,
-0.023838181048631668,
0.05907031521201134,
0.010510760359466076,
-0.011330297216773033,
-0.07231020927429199,
-0.00927747692912817,
0.012054353952407837,
0.051431912928819656,
-0.019398359581828117,
0.034945692867040634,
0.002534199273213744,
-0.03472290560603142,
0.017075013369321823,
0.0179184190928936,
-0.0010890691773965955,
-0.006488664075732231,
0.007415615953505039,
0.040006134659051895,
-0.029153237119317055,
-0.02186492830514908,
-0.02560456283390522,
-0.00046596245374530554,
0.01222940068691969,
0.06581757217645645,
0.0031727219466120005,
0.01563485525548458,
0.01653395965695381,
0.0012342783156782389,
0.018411733210086823,
0.02118065394461155,
-0.0016838301671668887,
0.038796719163656235,
0.03520030528306961,
0.053468819707632065,
0.03322705253958702,
-0.01734554022550583,
0.012754540890455246,
0.022151367738842964,
-0.013335377909243107,
0.005366773344576359,
-0.01998715288937092,
-0.005442361813038588,
0.01027206052094698,
-0.009794659912586212,
0.013772995211184025,
-0.04210669547319412,
-0.00008963685104390606,
-0.021498920395970345,
-0.018363993614912033,
-0.0021323873661458492,
-0.04796280339360237,
-0.007538944482803345,
0.009158127009868622,
0.024060968309640884,
0.001507788896560669,
0.045130230486392975,
-0.04147016257047653,
0.04277505353093147,
0.019971240311861038,
0.04166112095117569,
0.011624693870544434,
0.014815318398177624,
0.01627138815820217,
-0.038733065128326416,
-0.01347064133733511,
-0.0029917077627032995,
-0.029248716309666634,
-0.005195705220103264,
0.03510482609272003,
0.06460815668106079,
-0.007972583174705505,
0.012452187947928905,
-0.035614050924777985,
-0.0058322385884821415,
-0.0014560704585164785,
-0.006659732200205326,
-0.040706321597099304,
0.01787067949771881,
0.03405454382300377,
0.04532118886709213,
0.020973781123757362,
-0.029964817687869072,
0.04376168176531792,
-0.004161338321864605,
-0.023472175002098083,
-0.0000109792717921664,
0.005712888669222593,
-0.0499042309820652,
-0.04439821466803551,
-0.02184901386499405,
0.00829880591481924,
0.0013914225855842233,
-0.005108181852847338,
-0.007932799868285656,
0.03335435688495636,
-0.030362650752067566,
-0.004232948180288076,
0.0058600869961082935,
-0.015483679249882698,
0.0011119445553049445,
0.008426113054156303,
-0.011767914518713951,
-0.0012491970555856824,
-0.028071129694581032,
0.01085289753973484,
-0.02692537009716034,
-0.015841728076338768,
-0.04019709303975105,
0.011433733627200127,
0.03707807883620262,
0.050954509526491165,
0.03975152224302292,
-0.015571202151477337,
0.0269571952521801,
-0.0010731557849794626,
-0.029980730265378952,
0.013645688071846962,
0.011091597378253937,
-0.006146527361124754,
0.005732780322432518,
-0.005704931914806366,
-0.046403296291828156,
0.012818194925785065,
-0.0460532046854496,
-0.010455063544213772,
0.020289506763219833,
0.0002829590521287173,
0.01787067949771881,
0.01737736538052559,
0.023949574679136276,
-0.03895585238933563,
0.03013986349105835,
-0.040133439004421234,
0.013932128436863422,
0.01059828419238329,
-0.015754206106066704,
0.08854182064533234,
0.02552499622106552,
0.035486746579408646,
0.008672770112752914,
0.012412404641509056,
-0.016128169372677803,
-0.06893658638000488,
0.002299477579072118,
-0.03704625368118286,
0.006098787300288677,
0.0049928100779652596,
0.045257534831762314,
-0.014910798519849777,
0.03605962544679642,
0.05057259276509285,
-0.02119656838476658,
0.011704260483384132,
-0.016438478603959084,
-0.007885059341788292,
0.003956453874707222,
-0.037523653358221054,
0.03886037319898605,
0.04980875179171562,
-0.03854210674762726,
0.0524185374379158,
0.0037674829363822937,
0.005665148608386517,
0.00837837252765894,
0.03653702512383461,
-0.0616164468228817,
0.01920739933848381,
0.056683313101530075,
-0.06600853055715561,
-0.06088443472981453,
-0.0066915592178702354,
0.019652973860502243,
0.008577289991080761,
0.050827205181121826,
0.0128500210121274,
0.0124760577455163,
-0.01475166529417038,
-0.02565230242908001,
-0.0013546230038627982,
-0.015706464648246765,
-0.024792982265353203,
-0.002729137660935521,
-0.041915733367204666,
0.0009269519941881299,
-0.030601350590586662,
-0.027227722108364105,
0.021992234513163567,
-0.02175353467464447,
-0.051018163561820984,
-0.038701239973306656,
0.009977663867175579,
0.04150198772549629,
0.0012203542282804847,
-0.028516704216599464,
0.004396060016006231,
0.05518746003508568,
-0.02178536169230938,
-0.01796616055071354,
0.0009856324177235365,
0.05620591342449188,
0.020735081285238266,
0.00005697099550161511,
0.05073172599077225,
0.0033258877228945494,
-0.043252456933259964,
-0.01860269345343113,
-0.011998657137155533,
-0.004630781710147858,
-0.04035622626543045,
0.011728131212294102,
-0.01788659207522869,
-0.04735809564590454,
-0.011656520888209343,
0.03383176028728485,
0.029646551236510277,
-0.011115467175841331,
-0.029089583083987236,
0.008072040975093842,
0.007276374381035566,
-0.0071411109529435635,
-0.01979619450867176,
0.06759986281394958,
0.0034830321092158556,
0.018682260066270828,
0.03520030528306961,
-0.0015933230752125382,
-0.04611685499548912,
-0.0007156029460020363,
-0.005275271832942963,
0.003091166028752923,
0.005521928425878286,
-0.003132938640192151,
0.028580356389284134,
0.03545491769909859,
-0.0046268031001091,
0.035582225769758224,
-0.02305842749774456,
0.05334151163697243,
0.006818865891546011,
0.023297127336263657,
0.005295163486152887,
-0.012746584601700306,
-0.011322340928018093,
-0.013351291418075562,
0.014218568801879883,
0.024140534922480583,
0.014688012190163136,
0.0027689209673553705,
-0.026432055979967117,
-0.021371614187955856,
-0.01849129982292652,
-0.031715285032987595,
0.00576460687443614,
-0.02622518315911293,
-0.009070603176951408,
-0.0165816992521286,
0.0034392704255878925,
-0.014306091703474522,
0.008251066319644451,
0.04490744322538376,
-0.0016718951519578695,
0.024681588634848595,
-0.003675981191918254,
0.007745817769318819,
0.013709341175854206,
-0.024204188957810402,
-0.033036090433597565,
0.021371614187955856,
0.011537170968949795,
-0.04153381288051605,
-0.0011606791522353888,
-0.02245372161269188,
0.027832429856061935,
-0.010351627133786678,
-0.011752001009881496,
-0.012746584601700306,
0.05190931260585785,
-0.01865043304860592,
0.007431529462337494,
0.004423908423632383,
-0.0075628142803907394,
-0.03640972077846527,
0.0017206297488883138,
0.02312208153307438,
0.02181718684732914,
0.05897483229637146,
-0.001753451069816947,
0.036791641265153885,
-0.02122839353978634,
0.020926041528582573,
-0.03389541059732437,
0.008975123055279255,
0.015356372110545635,
0.014441355131566525,
-0.02762555703520775,
0.0027191918343305588,
0.008744379505515099,
0.005561711732298136,
0.010669893585145473,
-0.000652944203466177,
-0.012786367908120155,
0.011712217703461647,
0.009810573421418667,
-0.012873890809714794,
-0.017425106838345528,
-0.06759986281394958,
-0.013231941498816013,
0.017727458849549294,
0.02753007598221302,
-0.02558864839375019,
0.04401629418134689,
0.06709063798189163,
0.014966495335102081,
-0.01863452047109604,
-0.023281214758753777,
-0.022071801126003265,
0.014314047992229462,
0.00008727471868041903,
-0.002448664978146553,
0.031142404302954674,
0.004439821466803551,
0.012595407664775848,
-0.03542309254407883,
-0.01563485525548458,
-0.007013804279267788,
-0.008553419262170792,
-0.001895676483400166,
-0.0165816992521286,
0.0004480599600356072,
0.0017942289123311639,
0.02307434193789959,
0.006679623853415251,
-0.06467180699110031,
0.004980875179171562,
-0.010510760359466076,
0.02049638144671917,
-0.023965489119291306,
-0.023535829037427902,
0.011171163991093636,
0.006910367403179407,
0.01654987223446369,
0.02757781557738781,
-0.003357714507728815,
0.0053787087090313435,
0.028039302676916122,
0.023519914597272873,
-0.033577144145965576,
0.03395906463265419,
0.0006186310783959925,
-0.00514000840485096,
0.031651630997657776,
0.012277141213417053,
0.014974451623857021,
0.03863758593797684,
-0.04245678707957268,
0.003839093027636409,
0.029073670506477356,
0.00898308027535677,
-0.03774644061923027,
0.008943296037614346,
0.0026177442632615566,
0.01623956300318241,
0.010725590400397778,
0.016454393044114113,
0.019334707409143448,
-0.04032440111041069,
0.017520586028695107,
0.010494846850633621,
0.007272395770996809,
-0.0333225317299366,
0.001260137534700334,
0.015260891988873482,
-0.030553610995411873,
0.09051506966352463,
-0.008048171177506447,
0.02044863998889923,
0.0012432296061888337,
0.04560763016343117,
-0.024602022022008896,
0.0017912451876327395,
-0.03574135899543762,
0.003988280426710844,
0.018889132887125015,
-0.059293102473020554,
-0.01309667807072401,
-0.014409528113901615,
0.010439150035381317,
-0.03405454382300377
] |
In sponsored search advertising (SSA), keywords serve as the basic unit of
business model, linking three stakeholders: consumers, advertisers and search
engines. This paper presents an overarching framework for keyword decisions
that highlights the touchpoints in search advertising management, including
four levels of keyword decisions, i.e., domain-specific keyword pool
generation, keyword targeting, keyword assignment and grouping, and keyword
adjustment. Using this framework, we review the state-of-the-art research
literature on keyword decisions with respect to techniques, input features and
evaluation metrics. Finally, we discuss evolving issues and identify potential
gaps that exist in the literature and outline novel research perspectives for
future exploration. | [
0.0013345290208235383,
-0.022456903010606766,
-0.02438528649508953,
-0.019581858068704605,
0.0241924487054348,
-0.013989546336233616,
-0.029013406485319138,
-0.01102684810757637,
-0.0677388533949852,
-0.024174917489290237,
0.06272505968809128,
-0.009352659806609154,
0.019248774275183678,
-0.0835866630077362,
-0.00727964797988534,
0.004641268402338028,
0.014059669338166714,
0.0005954980151727796,
-0.008502418175339699,
-0.012122520245611668,
-0.047648604959249496,
0.02839983068406582,
-0.059464335441589355,
-0.01371781900525093,
0.002064246917143464,
0.0020598643459379673,
0.005820212420076132,
0.013779177330434322,
-0.08498912304639816,
0.04309060797095299,
-0.009063403122127056,
-0.006219036877155304,
-0.0031489627435803413,
-0.043511345982551575,
-0.04796415939927101,
-0.013638931326568127,
-0.0046105897054076195,
0.02436775527894497,
-0.01603187993168831,
-0.000734648376237601,
0.030591174960136414,
0.02347368746995926,
-0.06370677798986435,
-0.054450538009405136,
-0.01989741250872612,
0.009019576013088226,
0.01584780588746071,
-0.029364021494984627,
0.00707804411649704,
-0.05171573907136917,
0.012639678083360195,
0.005916631314903498,
0.034991394728422165,
0.01907346583902836,
-0.0006727428990416229,
0.06388209015130997,
0.017714831978082657,
0.0003648589481599629,
-0.034903742372989655,
0.0587981678545475,
-0.0034228807780891657,
-0.015821510925889015,
-0.03269486501812935,
-0.0007729969220235944,
-0.02366652525961399,
-0.028452422469854355,
-0.019301366060972214,
-0.012674739584326744,
-0.02526182495057583,
0.030696360394358635,
-0.04487874358892441,
0.03506151959300041,
0.00856377650052309,
0.024227509275078773,
-0.061007045209407806,
-0.011622893624007702,
0.060796674340963364,
0.0313800610601902,
-0.021720610558986664,
0.012552023865282536,
-0.02671687677502632,
0.05690484493970871,
0.007678472902625799,
-0.044317759573459625,
-0.0015438025584444404,
0.03863779455423355,
0.021352464333176613,
-0.07145537436008453,
0.015654968097805977,
-0.01236795075237751,
-0.06531961262226105,
0.00743742473423481,
0.018950751051306725,
-0.07832743227481842,
0.05329350754618645,
-0.0011515517253428698,
-0.0006716472562402487,
-0.008072914555668831,
0.012315358966588974,
0.05988507345318794,
0.0029561242554336786,
-0.0419335775077343,
0.0037296691443771124,
0.0012665974209085107,
0.012578319758176804,
0.000995966256596148,
-0.0587981678545475,
0.0394442081451416,
-0.03597312048077583,
0.041267409920692444,
-0.007875693961977959,
0.0045755282044410706,
0.005381943192332983,
0.011570300906896591,
-0.04291529953479767,
0.01748693361878395,
-0.02115962654352188,
-0.0637769028544426,
0.052031293511390686,
-0.022527026012539864,
0.015058922581374645,
-0.03081907518208027,
-0.012823750264942646,
-0.022562088444828987,
-0.05620361492037773,
0.044773560017347336,
-0.041442714631557465,
0.0008475026697851717,
0.013980780728161335,
-0.018337175250053406,
-0.005991137120872736,
-0.03912865370512009,
-0.021580364555120468,
0.0435464084148407,
-0.003289208747446537,
0.031134629622101784,
0.06535467505455017,
-0.0021814838983118534,
-0.0027282244991511106,
-0.014489172957837582,
-0.008839885704219341,
0.010062656365334988,
-0.04600071161985397,
0.011868324130773544,
-0.012543258257210255,
-0.03360646590590477,
0.03674447163939476,
0.013165600597858429,
-0.011403759010136127,
0.017276562750339508,
0.01030808687210083,
0.04256468266248703,
-0.00354121346026659,
0.034710902720689774,
0.013656461611390114,
-0.01384930033236742,
0.006293542683124542,
-0.052031293511390686,
0.03358893468976021,
0.03691978007555008,
0.0025770217180252075,
-0.03243190422654152,
0.012227704748511314,
0.09172093123197556,
0.024753432720899582,
-0.013770411722362041,
-0.0233860332518816,
-0.016733109951019287,
-0.029171183705329895,
0.03825211897492409,
0.050769079476594925,
-0.011184624396264553,
-0.03125734627246857,
-0.02249196544289589,
-0.022018633782863617,
-0.02571762353181839,
0.014094730839133263,
-0.012736096978187561,
-0.04600071161985397,
0.06956205517053604,
-0.047192804515361786,
0.0653897300362587,
0.021895918995141983,
-0.020475927740335464,
-0.02741810865700245,
-0.005254845134913921,
0.059183843433856964,
0.02017790451645851,
-0.00212889164686203,
0.0047639841213822365,
0.020107781514525414,
0.02205369621515274,
0.04508911445736885,
0.03990000858902931,
-0.01667175255715847,
-0.01639126054942608,
-0.0758030042052269,
0.01062364038079977,
-0.023368502035737038,
-0.08961724489927292,
-0.019757166504859924,
-0.012201408855617046,
0.04361652955412865,
0.04295036196708679,
-0.026944776996970177,
-0.022158879786729813,
0.038672856986522675,
-0.04705255851149559,
0.004645651206374168,
-0.050874263048172,
-0.05827224627137184,
0.02229912579059601,
-0.03765607252717018,
-0.017451871186494827,
-0.035797812044620514,
-0.02806674689054489,
-0.03397461399435997,
0.032572150230407715,
-0.04670194536447525,
-0.00763902859762311,
0.011456351727247238,
0.0028991494327783585,
0.03393955156207085,
0.02841736190021038,
-0.0073716845363378525,
-0.00292544555850327,
-0.016470149159431458,
-0.024437878280878067,
0.013411031104624271,
0.05539720132946968,
0.003359331749379635,
0.023999609053134918,
-0.04550985246896744,
-0.0037997921463102102,
-0.008796058595180511,
-0.03905853256583214,
-0.006017433013767004,
-0.05143524706363678,
-0.02985488437116146,
-0.03874297812581062,
0.012718565762043,
-0.07128006964921951,
-0.06209395080804825,
-0.03951433300971985,
0.009939940646290779,
-0.02868032269179821,
0.00990487914532423,
-0.002752329222857952,
-0.00040183786768466234,
-0.009957471862435341,
-0.013910657726228237,
0.0306437686085701,
-0.05402979999780655,
-0.00220668432302773,
-0.030889198184013367,
0.05665941536426544,
0.03656916320323944,
-0.009825990535318851,
-0.02841736190021038,
-0.026909716427326202,
0.075662761926651,
0.012630912475287914,
0.06254974752664566,
0.011465116403996944,
-0.0077792746014893055,
-0.0003821157733909786,
0.05679966136813164,
-0.0524870939552784,
-0.008655812591314316,
0.008945070207118988,
-0.031169690191745758,
-0.006460085045546293,
0.07327857613563538,
0.0282245222479105,
-0.029276369139552116,
0.005338116083294153,
0.045299481600522995,
-0.04947180300951004,
-0.005272375885397196,
0.018530013039708138,
-0.06980748474597931,
-0.031046975404024124,
0.023701587691903114,
-0.007297178730368614,
-0.058833230286836624,
-0.03251956030726433,
0.022281594574451447,
0.0038041749503463507,
-0.013332142494618893,
0.03493880480527878,
-0.01739927940070629,
-0.024998864158988,
0.0025835956912487745,
-0.03560497239232063,
0.06679219752550125,
0.00895821861922741,
0.03912865370512009,
0.02473590150475502,
-0.0024981333408504725,
-0.030398337170481682,
-0.008059767074882984,
-0.001261119032278657,
0.018582604825496674,
-0.007634645793586969,
0.046456512063741684,
0.03083660639822483,
-0.009747101925313473,
0.013139304704964161,
0.013682757504284382,
-0.034833621233701706,
0.005837743170559406,
-0.014988799579441547,
0.04526442289352417,
0.006131383124738932,
0.01865272782742977,
0.0692114382982254,
0.05701002851128578,
0.011096971109509468,
-0.0460357740521431,
-0.044948868453502655,
0.0014353309525176883,
0.01025549415498972,
-0.09249228984117508,
0.007424276787787676,
-0.01206116285175085,
-0.038041748106479645,
-0.03330844268202782,
0.0524870939552784,
0.017408045008778572,
0.01784631423652172,
-0.037130147218704224,
-0.013113007880747318,
-0.099995456635952,
-0.004742070566862822,
0.049612049013376236,
-0.03779631853103638,
-0.00477274926379323,
0.02850501425564289,
0.040005192160606384,
-0.03495633602142334,
-0.003828279674053192,
-0.040110379457473755,
-0.04365159198641777,
-0.022439371794462204,
0.01945914328098297,
-0.014778430573642254,
-0.048805635422468185,
0.03441287949681282,
-0.012911404483020306,
0.013936953619122505,
0.000906668952666223,
-0.009975002147257328,
-0.055782876908779144,
-0.025437131524086,
0.025437131524086,
-0.059183843433856964,
-0.006337369792163372,
-0.0026887801941484213,
-0.0020390464924275875,
0.014094730839133263,
-0.0033001655247062445,
-0.04133753105998039,
0.0012852238724008203,
-0.04060123860836029,
-0.031117098405957222,
0.016890887171030045,
0.0017004837282001972,
0.005622991360723972,
0.06829983741044998,
-0.037410639226436615,
-0.021580364555120468,
0.026050709187984467,
0.04424763843417168,
0.01793396659195423,
-0.007126253563910723,
0.007897607050836086,
-0.05392461642622948,
-0.04586046561598778,
-0.10266012698411942,
0.05227672681212425,
0.06493393331766129,
0.025524785742163658,
0.052557218819856644,
0.03308054432272911,
-0.08898613601922989,
0.013568808324635029,
0.009396486915647984,
0.008226308971643448,
-0.02985488437116146,
0.07895854115486145,
-0.045299481600522995,
-0.0027567120268940926,
-0.031222283840179443,
-0.07187611609697342,
0.013700288720428944,
-0.032940298318862915,
-0.02994253672659397,
-0.06318085640668869,
0.0062015061266720295,
0.0008535288507118821,
-0.021440118551254272,
0.00477274926379323,
0.012823750264942646,
0.048980943858623505,
-0.02042333409190178,
0.004117537289857864,
0.014690776355564594,
-0.05907865986227989,
0.013726584613323212,
0.02948673814535141,
-0.018863096833229065,
-0.0022548940032720566,
-0.06815959513187408,
0.054976463317871094,
0.03839236497879028,
0.0016730919014662504,
-0.07713533937931061,
0.03835730254650116,
0.050593771040439606,
0.0043016099371016026,
-0.05522189289331436,
-0.030082782730460167,
0.03309807553887367,
0.01882803626358509,
0.00018626432574819773,
0.00788445957005024,
0.01731162518262863,
-0.02340356446802616,
0.011991039849817753,
-0.026664284989237785,
0.01340226549655199,
0.032852642238140106,
-0.010500924661755562,
-0.01017660554498434,
0.011394993402063847,
-0.016917182132601738,
-0.021720610558986664,
0.02401714026927948,
-0.0353420116007328,
-0.020230496302247047,
0.030363276600837708,
-0.05725546181201935,
0.0013969824649393559,
0.05788656696677208,
-0.003957569133490324,
0.02284258045256138,
-0.00806853175163269,
-0.020493457093834877,
-0.049612049013376236,
-0.011526474729180336,
-0.005675583612173796,
0.003525874111801386,
-0.08141284435987473,
0.02868032269179821,
0.012850047089159489,
0.007568905595690012,
0.03160795941948891,
-0.08106223493814468,
-0.013945719227194786,
-0.029171183705329895,
-0.010036359541118145,
0.0036924162413924932,
-0.004557997453957796,
-0.05206635594367981,
0.02832970768213272,
0.03997013345360756,
-0.053118202835321426,
-0.029539329931139946,
0.012937700375914574,
0.004899847321212292,
0.013621400110423565,
-0.04775378853082657,
0.026822062209248543,
0.026453915983438492,
0.016864590346813202,
-0.014462877064943314,
0.009300068020820618,
-0.02212381921708584,
0.04954192787408829,
0.02580527774989605,
0.0261734239757061,
0.04856020584702492,
-0.05708015337586403,
0.013875596225261688,
0.0075645227916538715,
0.007248969282954931,
0.05522189289331436,
0.04536960646510124,
0.040390871465206146,
-0.05083920434117317,
-0.012280297465622425,
0.07341881841421127,
-0.01675940677523613,
0.009326363913714886,
-0.0015810553450137377,
0.023350972682237625,
-0.034202512353658676,
-0.008134272880852222,
-0.01133363600820303,
-0.0022811901289969683,
-0.011912151239812374,
-0.00989611353725195,
0.01057981327176094,
-0.03727039322257042,
-0.006258481182157993,
-0.014462877064943314,
-0.015006329864263535,
0.014015842229127884,
0.01384053472429514,
0.001086359261535108,
0.004016735125333071,
0.05083920434117317,
-0.06738823652267456,
-0.02035321108996868,
-0.014690776355564594,
0.04186345264315605,
0.04508911445736885,
-0.01232412364333868,
0.04358146712183952,
0.0062146540731191635,
-0.001805668231099844,
-0.014129792340099812,
-0.04060123860836029,
0.05904359742999077,
0.015313118696212769,
0.014217445626854897,
0.042985424399375916,
0.01666298694908619,
0.03145018219947815,
-0.043160729110240936,
-0.03730545565485954,
0.021282341331243515,
-0.00820439588278532,
-0.03888322412967682,
-0.019424080848693848,
0.005675583612173796,
-0.019108528271317482,
0.05280264839529991,
-0.034447941929101944,
-0.03569262847304344,
-0.015821510925889015,
0.010781417600810528,
-0.0035434048622846603,
-0.006578417494893074,
0.050418466329574585,
0.02562997117638588,
0.05133006349205971,
-0.026050709187984467,
-0.02329837903380394,
-0.006499529350548983,
0.024578124284744263,
-0.007542609237134457,
-0.01419991534203291,
-0.025437131524086,
0.028031684458255768,
-0.02401714026927948,
0.004332289099693298,
-0.013814238831400871,
0.03371164947748184,
0.03404473513364792,
-0.015611141920089722,
0.024490471929311752,
0.020318150520324707,
0.0038721065502613783,
0.02124728076159954,
0.024578124284744263,
0.018039152026176453,
0.023947017267346382,
0.009300068020820618,
0.03308054432272911,
0.016154594719409943,
0.015628673136234283,
-0.046211082488298416,
-0.028803037479519844,
-0.05900853872299194,
0.01729409396648407,
0.043055545538663864,
0.002379800658673048,
-0.03181833028793335,
-0.018126806244254112,
0.022334188222885132,
-0.014261272735893726,
0.037060026079416275,
0.03297535702586174,
0.000025029268726939335,
0.03251956030726433,
0.015129045583307743,
-0.020405804738402367,
-0.0028356004040688276,
0.011351167224347591,
0.004509788006544113,
0.019879881292581558,
-0.03066129796206951,
-0.04291529953479767,
-0.007722299546003342,
0.012087458744645119,
-0.019161120057106018,
-0.02608576975762844,
0.008655812591314316,
-0.009045871905982494,
0.0678791031241417,
0.005083920434117317,
0.015225464478135109,
0.03916371613740921,
0.0005944023141637444,
-0.0002763833908829838,
0.03388695791363716,
-0.01419991534203291,
-0.0006026198389008641,
0.050769079476594925,
-0.018407298251986504,
-0.024806024506688118,
0.02761094644665718,
-0.07152549922466278,
-0.006736194249242544,
-0.019687043502926826,
0.00276547740213573,
-0.0019623495172709227,
-0.0297672301530838,
0.03860273212194443,
0.011552770622074604,
0.0003889637300744653,
0.007888841442763805,
-0.00019352315575815737,
0.03611336648464203,
-0.016619160771369934,
-0.011456351727247238,
0.04123234748840332,
-0.004904230125248432,
-0.016557803377509117,
-0.03923384100198746,
-0.005346881691366434,
-0.04231925308704376,
0.013831769116222858,
0.02194851078093052,
0.0027216505259275436,
-0.0077661266550421715,
0.03649904206395149,
0.000297475082334131,
-0.03863779455423355,
0.020020127296447754,
-0.008725935593247414,
0.024350225925445557,
0.05942927673459053,
0.0069640944711863995,
0.00405617943033576,
-0.011228451505303383,
0.011088205501437187,
0.016145829111337662,
-0.022632211446762085,
-0.004080284386873245,
0.02187838777899742,
0.01937148906290531,
0.002945167711004615,
-0.024069732055068016,
-0.04586046561598778,
-0.010816479101777077,
0.05637892335653305,
0.029171183705329895,
0.021825795993208885,
0.03010031394660473,
0.007972112856805325,
0.00847612228244543,
-0.005736941006034613,
0.0014868275029584765,
0.025384539738297462,
-0.0010134970070794225,
0.0012567363446578383,
0.014033373445272446,
0.05904359742999077,
-0.030223028734326363,
-0.030065253376960754,
-0.020738888531923294,
-0.014752134680747986,
-0.010413271375000477,
0.012893873266875744,
-0.016776936128735542,
0.02750576101243496,
0.010281790979206562,
-0.020809011533856392,
0.009291302412748337,
-0.0031971721909940243,
-0.01882803626358509,
-0.0020467161666601896,
-0.024332694709300995,
-0.02044086530804634,
-0.043791837990283966,
0.03997013345360756,
-0.012823750264942646,
-0.045474790036678314,
-0.024893678724765778,
0.0016851442633196712,
-0.02242184244096279,
0.003606953890994191,
0.005544102750718594,
0.02662922441959381,
0.04231925308704376,
0.020528519526124,
0.017513228580355644,
0.011316105723381042,
0.022193942219018936,
0.004025500733405352,
-0.027365515008568764,
0.01353374682366848,
0.03143265098333359,
0.07923903316259384,
-0.0008962600841186941,
-0.03744570165872574,
-0.0008765379898250103,
0.0009072168031707406,
0.0004744261968880892,
0.010237963870167732,
-0.014533000066876411,
0.020055189728736877,
-0.0036792680621147156,
0.004557997453957796,
0.05823718383908272,
-0.04421257600188255,
-0.03295782953500748,
0.0003749938914552331,
-0.013349673710763454,
0.02179073356091976,
0.017714831978082657,
-0.012289062142372131,
-0.008305197581648827,
0.012963997200131416,
-0.01389312744140625,
0.02555984817445278,
-0.022825049236416817,
-0.011403759010136127,
-0.029539329931139946,
-0.03639385849237442,
-0.050944387912750244,
0.009825990535318851,
-0.009159822016954422,
0.016435086727142334,
-0.05224166437983513,
0.023911956697702408,
-0.02124728076159954,
-0.044037267565727234,
0.015637436881661415,
-0.04519429802894592,
0.0008896860526874661,
-0.0015492808306589723,
-0.022632211446762085,
0.04200369864702225,
0.027821315452456474,
-0.0007477964391000569,
-0.012709801085293293,
-0.03264227509498596,
-0.01649644412100315,
-0.03192351385951042,
0.00497435312718153,
-0.019336428493261337,
-0.010281790979206562,
-0.03979482501745224,
-0.01937148906290531,
0.020861603319644928,
0.009519202634692192,
0.04631626605987549,
-0.0031270491890609264,
0.004658799152821302,
0.002344739157706499,
-0.008322727866470814,
0.039829887449741364,
-0.053994741290807724,
-0.0331331342458725,
0.05052364990115166,
-0.0018330600578337908,
-0.03667435050010681,
0.008585689589381218,
-0.0009729571756906807,
0.013823003508150578,
-0.013744115829467773,
0.0197221040725708,
-0.00959809124469757,
-0.00025022419868037105,
-0.026997370645403862,
-0.01170178223401308,
0.03565756604075432,
-0.014401518739759922,
0.022158879786729813,
0.026383792981505394,
0.0013652079505845904,
-0.07131513208150864,
-0.025437131524086,
0.04901600256562233,
0.02384183369576931,
-0.015611141920089722,
-0.0009357042727060616,
0.05241697281599045,
0.023350972682237625,
-0.03038080595433712,
0.030784014612436295,
0.02680453099310398,
-0.048069342970848083,
0.01837223581969738,
0.022649740800261497,
-0.02726033143699169,
-0.025665031746029854,
0.010746356099843979,
-0.00882673729211092,
0.033571403473615646,
0.0395844541490078,
-0.018845567479729652,
0.019651981070637703,
-0.04565009847283363,
0.0009625482489354908,
0.006815082859247923,
0.016996070742607117,
0.05101450905203819,
-0.03961951658129692,
-0.01272733137011528,
0.04670194536447525,
0.009282536804676056,
0.03702496364712715,
-0.03488621115684509,
-0.02967957593500614,
-0.028277115896344185,
-0.0012731713941320777,
-0.053819432854652405,
-0.005259227938950062,
-0.024052202701568604,
0.02696230821311474,
-0.02752329222857952,
0.003002142533659935,
0.07524202018976212,
0.007625880651175976,
0.002199014648795128,
0.013656461611390114,
0.045124176889657974,
0.0003511630347929895,
-0.009115994907915592,
0.009431548416614532,
-0.013148069381713867,
0.03385189548134804,
0.022614680230617523,
-0.025594908744096756,
0.013183130882680416,
0.01232412364333868,
-0.012490666471421719,
-0.017434339970350266,
-0.016242248937487602,
0.0018812696216627955,
-0.007104340475052595,
0.02242184244096279,
-0.023105541244149208,
0.045404668897390366,
0.023070478811860085,
0.026506507769227028,
0.021194688975811005,
0.008616368286311626,
-0.0006672645104117692,
-0.020458396524190903,
-0.010693763382732868,
0.02938155271112919,
-0.019669512286782265,
0.002034663688391447,
-0.0067756385542452335,
-0.036604225635528564,
0.0297672301530838,
0.0822543278336525,
-0.023508748039603233,
-0.014313865453004837,
0.0046105897054076195,
-0.028873160481452942,
0.022807518020272255,
-0.050769079476594925,
0.008226308971643448,
-0.0419335775077343,
0.005662435200065374,
-0.002421436132863164,
-0.009808460250496864,
0.025244293734431267,
0.02491120994091034,
0.05371424928307533,
-0.0034776644315570593,
-0.008414764888584614,
-0.026278609409928322,
0.018214458599686623,
0.05795669183135033,
-0.02366652525961399,
-0.039023470133543015,
-0.010807713493704796,
0.021264811977744102,
-0.03046846017241478,
-0.0017432149033993483,
0.008892477490007877,
0.004540466703474522,
-0.014191149733960629,
-0.0253670085221529,
-0.020090250298380852,
0.02931142970919609,
-0.029591921716928482,
-0.025927994400262833,
-0.050243157893419266,
0.003755965270102024,
0.012218939140439034,
-0.009773398749530315,
0.043511345982551575,
-0.004912995267659426,
0.049962665885686874,
-0.027803784236311913,
-0.09971495717763901,
-0.008625133894383907,
-0.020020127296447754,
0.0008907816954888403,
-0.013270785100758076,
-0.0010162362596020103,
-0.010395740158855915,
0.029171183705329895,
-0.03018796816468239,
-0.02859266847372055,
0.01102684810757637,
0.013332142494618893,
0.05764113739132881,
0.02249196544289589,
-0.033483751118183136,
0.01420868095010519,
0.005013797432184219,
0.06865045428276062,
0.008370937779545784,
-0.019283834844827652,
0.009773398749530315,
-0.03628867119550705,
-0.018792973831295967,
0.018442358821630478,
0.03842742368578911,
-0.014489172957837582,
-0.03556990996003151,
-0.07187611609697342,
-0.0026164657901972532,
0.020090250298380852,
0.0023031034506857395,
0.010150309652090073,
-0.0317482054233551,
-0.0022033974528312683,
0.054450538009405136,
0.023438625037670135,
-0.015260525979101658,
-0.0002952837385237217,
-0.0052329315803945065,
-0.00007594379712827504,
0.053188323974609375,
0.040460992604494095,
-0.027049962431192398,
0.04291529953479767,
0.015900399535894394,
-0.008313963189721107,
0.05637892335653305,
-0.016969775781035423,
0.003913742024451494,
0.012718565762043,
-0.066722072660923,
-0.03162549063563347,
-0.021545303985476494,
-0.024683309718966484,
0.007603967096656561,
-0.02196604199707508,
-0.011009316891431808,
0.009869817644357681,
-0.023631464689970016,
-0.005241697188466787,
-0.0071832286193966866,
-0.014427815563976765,
0.01961692050099373,
-0.008796058595180511,
0.00784501526504755,
-0.05725546181201935,
0.020212965086102486,
-0.0020686297211796045,
-0.0262435469776392,
-0.060621365904808044,
-0.011412524618208408,
0.0363587960600853,
-0.055537447333335876,
-0.023543810471892357,
-0.018565073609352112,
-0.01909099705517292,
-0.03502645716071129,
-0.018424827605485916,
-0.014419049955904484,
-0.02284258045256138,
-0.031870920211076736,
0.013823003508150578,
-0.014936206862330437,
0.024315163493156433,
-0.012175112962722778,
-0.04940168187022209,
0.04407232999801636,
-0.022386780008673668,
0.00994870625436306,
-0.00421176478266716,
-0.03081907518208027,
-0.04070642217993736,
0.015795214101672173,
0.003324270248413086,
-0.03556990996003151,
0.009010810405015945,
0.015032626688480377,
-0.0358504019677639,
-0.06549491733312607,
-0.007029834669083357,
0.004448430147022009,
-0.017416810616850853,
0.03292276710271835,
0.054099924862384796,
-0.003560935612767935,
-0.0008699639583937824,
0.03143265098333359,
0.007485634181648493,
0.01963445171713829,
-0.03551732003688812,
0.05504658445715904,
0.006885205861181021,
-0.04968217387795448,
-0.03567509725689888,
-0.026190955191850662,
0.03048599138855934,
-0.038322240114212036,
0.00823945738375187,
0.03888322412967682,
-0.03748076409101486,
-0.025209233164787292
] |
In this paper we study the problem of learning multi-step dynamics prediction
models (jumpy models) from unlabeled experience and their utility for fast
inference of (high-level) plans in downstream tasks. In particular we propose
to learn a jumpy model alongside a skill embedding space offline, from
previously collected experience for which no labels or reward annotations are
required. We then investigate several options of harnessing those learned
components in combination with model-based planning or model-free reinforcement
learning (RL) to speed up learning on downstream tasks. We conduct a set of
experiments in the RGB-stacking environment, showing that planning with the
learned skills and the associated model can enable zero-shot generalization to
new tasks, and can further speed up training of policies via reinforcement
learning. These experiments demonstrate that jumpy models which incorporate
temporal abstraction can facilitate planning in long-horizon tasks in which
standard dynamics models fail. | [
0.034626785665750504,
-0.022874554619193077,
-0.04344545677304268,
-0.04776480793952942,
0.020426923409104347,
0.005961602088063955,
-0.02798578515648842,
0.03208916634321213,
-0.08105979114770889,
-0.043301478028297424,
0.024098370224237442,
0.016836464405059814,
0.020732877776026726,
-0.018240252509713173,
-0.025844108313322067,
0.05636751279234886,
-0.006029092241078615,
0.052480097860097885,
0.02492624707520008,
-0.02008497528731823,
0.013344990089535713,
-0.026761969551444054,
-0.030217450112104416,
0.04261758178472519,
0.02818375639617443,
0.007635350339114666,
-0.010258454829454422,
-0.015405680052936077,
-0.08365140110254288,
0.06867765635251999,
0.021542755886912346,
0.0031765217427164316,
-0.029695527628064156,
-0.006290052551776171,
-0.009538563899695873,
-0.03455479443073273,
0.05453178659081459,
-0.052228134125471115,
-0.06101081147789955,
0.01114032231271267,
0.010762379504740238,
0.016485517844557762,
-0.008391235955059528,
-0.05078835040330887,
-0.014163866639137268,
-0.020156964659690857,
0.004926757887005806,
-0.011158319190144539,
-0.07904409617185593,
0.032143160700798035,
0.024026380851864815,
-0.05611554905772209,
0.07702840119600296,
-0.030973335728049278,
-0.047044914215803146,
0.0017153667286038399,
-0.008913157507777214,
0.02413436584174633,
0.02604207769036293,
0.07861216366291046,
-0.019581051543354988,
0.006465526297688484,
-0.04394938051700592,
-0.035094715654850006,
0.013353988528251648,
-0.07666845619678497,
0.057627320289611816,
-0.01248112041503191,
0.022640589624643326,
-0.004953754134476185,
-0.03207116946578026,
-0.022460617125034332,
0.002254160586744547,
-0.014316843822598457,
-0.010123475454747677,
0.01167124230414629,
-0.0019167113350704312,
0.03068537823855877,
-0.0025128715205937624,
0.00013779175060335547,
0.03442881628870964,
0.02228064462542534,
-0.06533016264438629,
0.014838765375316143,
0.05777129903435707,
-0.02174072526395321,
0.0640343576669693,
-0.0548197440803051,
0.07202515006065369,
-0.006802975665777922,
-0.04211365804076195,
-0.023378480225801468,
0.032971035689115524,
-0.01288605947047472,
-0.03507671877741814,
0.05039241164922714,
-0.0133089954033494,
0.024836258962750435,
-0.042725566774606705,
-0.00009336094080936164,
0.014973744750022888,
-0.008544213138520718,
-0.017529360949993134,
-0.025142213329672813,
0.00037653703475371003,
-0.024530306458473206,
-0.0051832194440066814,
0.0028503206558525562,
-0.031369276344776154,
0.06687793135643005,
-0.006856967229396105,
-0.010348442010581493,
0.0222446508705616,
-0.0011372037697583437,
-0.04171771928668022,
0.013659942895174026,
-0.04751284420490265,
-0.1128070130944252,
0.07674044370651245,
-0.03525669127702713,
0.024890251457691193,
0.059822991490364075,
0.01383991539478302,
-0.0206608884036541,
-0.02143477275967598,
0.050608377903699875,
0.02926359325647354,
0.0395580418407917,
0.03959403559565544,
-0.00975453108549118,
-0.008409233763813972,
-0.05186818912625313,
-0.016008589416742325,
0.013533961959183216,
0.0034464809577912092,
-0.009174118749797344,
0.014199861325323582,
0.007005445193499327,
-0.03930608183145523,
-0.021650739014148712,
-0.01558565255254507,
-0.036210548132658005,
-0.03406887128949165,
0.00644302973523736,
0.018231254070997238,
0.01503673568367958,
-0.009075133129954338,
0.06892962008714676,
-0.06435830891132355,
-0.0038896643090993166,
-0.05453178659081459,
0.033043023198843,
-0.011212311685085297,
0.04866467043757439,
0.02656400017440319,
0.0379742830991745,
-0.0687856376171112,
0.017241403460502625,
0.027517855167388916,
-0.01533369068056345,
0.05363192409276962,
0.006357542704790831,
0.01644052378833294,
0.07580458372831345,
0.00975453108549118,
-0.024584297090768814,
0.02305452898144722,
-0.013129022903740406,
-0.004303602036088705,
0.03507671877741814,
-0.019437072798609734,
-0.032935041934251785,
-0.01802428625524044,
0.018321240320801735,
0.004337346646934748,
0.02332448773086071,
0.04700892046093941,
0.04024193808436394,
-0.009718536399304867,
-0.020012985914945602,
0.0028413222171366215,
0.04211365804076195,
-0.0020764372311532497,
0.02791379578411579,
0.04798077419400215,
0.02521420270204544,
0.03684045374393463,
-0.014181864447891712,
0.03696643188595772,
-0.049816496670246124,
-0.03149525821208954,
0.020246950909495354,
0.02794979140162468,
0.0005075798253528774,
-0.008364240638911724,
-0.06518618017435074,
-0.030757367610931396,
0.05024843290448189,
-0.06792177259922028,
0.06716588884592056,
-0.004029143135994673,
-0.05964301899075508,
-0.02116481214761734,
0.01642252691090107,
-0.016782471910119057,
0.023540455847978592,
0.014451823197305202,
0.0034802258014678955,
0.029119614511728287,
-0.08005194365978241,
0.01463179662823677,
-0.007783827837556601,
-0.05913909524679184,
-0.03093734011054039,
-0.007824321277439594,
-0.038658179342746735,
-0.03279106318950653,
0.04960053041577339,
-0.046792954206466675,
-0.06623002886772156,
0.0038041770458221436,
0.0010882735950872302,
0.03883815184235573,
-0.0029290588572621346,
-0.0038109261076897383,
0.08876263350248337,
-0.012958048842847347,
-0.04009796306490898,
0.009961499832570553,
-0.017340388149023056,
0.03793828561902046,
0.0010624025017023087,
0.044093359261751175,
-0.02120080776512623,
-0.004373341333121061,
0.02305452898144722,
0.008724186569452286,
0.017493365332484245,
0.005408185534179211,
-0.01588260754942894,
0.05420783534646034,
-0.042185645550489426,
-0.04045790806412697,
-0.014478819444775581,
0.06597806513309479,
-0.011365288868546486,
0.006614003796130419,
0.025034230202436447,
-0.004128128290176392,
-0.00475128460675478,
-0.028021780773997307,
-0.027895798906683922,
-0.01699844002723694,
-0.03603057563304901,
-0.02904762513935566,
0.06781379133462906,
0.04207766428589821,
0.009763529524207115,
-0.007900809869170189,
-0.017340388149023056,
-0.0006985198124311864,
0.02525019831955433,
0.0007058312185108662,
0.061982665210962296,
0.005268706474453211,
-0.010366438888013363,
0.03633652627468109,
0.01558565255254507,
0.02762584015727043,
0.04398537427186966,
-0.023432470858097076,
-0.023468466475605965,
-0.009970498271286488,
0.014847763814032078,
0.028651684522628784,
-0.06853368133306503,
0.022928547114133835,
-0.017052432522177696,
0.024476313963532448,
0.011590254493057728,
0.012454124167561531,
-0.022118669003248215,
0.017583351582288742,
0.022946543991565704,
-0.06461027264595032,
-0.00563315162435174,
-0.011176316998898983,
0.004479075316339731,
-0.023414473980665207,
0.027229899540543556,
0.011581256054341793,
0.019455069676041603,
-0.04632502421736717,
0.053847890347242355,
0.046504996716976166,
0.005858117714524269,
-0.0417897067964077,
0.012724083848297596,
0.004596057813614607,
-0.006681493949145079,
0.010294449515640736,
0.022730577737092972,
0.006937955040484667,
0.027499858289957047,
-0.03230513632297516,
-0.04369742050766945,
-0.05348794534802437,
0.010042487643659115,
-0.013192012906074524,
-0.03963003307580948,
0.004935756791383028,
0.02226264774799347,
0.016935449093580246,
0.007504869718104601,
0.01273308228701353,
0.045425157994031906,
0.04722488671541214,
0.032179154455661774,
-0.030163457617163658,
-0.03765033185482025,
-0.00035094714257866144,
-0.007455377373844385,
-0.07868415117263794,
0.003459978848695755,
0.02985750325024128,
0.0033182501792907715,
0.00466579757630825,
0.016476519405841827,
-0.05525168031454086,
0.04294153302907944,
0.009889510460197926,
-0.04668496921658516,
-0.09085031598806381,
0.003372242208570242,
-0.0016490016132593155,
-0.03586860001087189,
-0.017961295321583748,
0.017304394394159317,
-0.00023790168052073568,
-0.03970202058553696,
-0.014856762252748013,
-0.04186169430613518,
0.07011744379997253,
-0.01750236377120018,
0.04884464293718338,
-0.035148706287145615,
-0.0379742830991745,
0.050572384148836136,
-0.016107574105262756,
0.018555205315351486,
0.0008970524067990482,
-0.016044583171606064,
0.0031382774468511343,
-0.013210010714828968,
0.04427333176136017,
-0.017979292199015617,
-0.03167523071169853,
-0.010906357318162918,
-0.03775831311941147,
0.02874167077243328,
-0.002508372301235795,
-0.045173197984695435,
-0.051364265382289886,
0.035652630031108856,
-0.11100728064775467,
0.02031894028186798,
0.0009128000237978995,
-0.03612056002020836,
-0.022388627752661705,
0.02933558262884617,
-0.02902962826192379,
-0.01642252691090107,
0.03905411809682846,
-0.002803077921271324,
-0.035112712532281876,
-0.03941406309604645,
-0.013668941333889961,
-0.009574558585882187,
-0.06266656517982483,
0.024242348968982697,
-0.019976992160081863,
0.021344786509871483,
0.018321240320801735,
0.0293175857514143,
0.014082878828048706,
0.08019592612981796,
-0.0033339979127049446,
0.028093770146369934,
-0.044129353016614914,
-0.004899762105196714,
0.07422082126140594,
-0.004773781169205904,
-0.02956954762339592,
0.01209417823702097,
0.031117314472794533,
-0.010393435135483742,
0.043805401772260666,
-0.016044583171606064,
-0.00644302973523736,
0.025286192074418068,
-0.043013524264097214,
-0.022928547114133835,
0.006101081147789955,
0.01900513842701912,
0.01439783163368702,
-0.0005458240630105138,
0.0008616202394478023,
-0.035940587520599365,
0.0235944464802742,
0.0037749314215034246,
0.010141472332179546,
-0.021866707131266594,
0.013668941333889961,
-0.02521420270204544,
0.010204463265836239,
-0.041681721806526184,
-0.0013914154842495918,
0.000758698268327862,
0.0035769613459706306,
-0.01354296039789915,
-0.018231254070997238,
-0.010654395446181297,
-0.0020820614881813526,
0.05784329026937485,
-0.048952627927064896,
0.051724210381507874,
-0.039486054331064224,
-0.012859063223004341,
-0.005696142092347145,
-0.028543701395392418,
0.042689573019742966,
0.001598384347744286,
0.052444104105234146,
-0.04376940801739693,
-0.02089485339820385,
0.03041541948914528,
0.02685195580124855,
0.03151325508952141,
-0.055467646569013596,
-0.06392637640237808,
-0.00563315162435174,
-0.0306673813611269,
-0.0010359690058976412,
-0.02228064462542534,
0.07184518128633499,
0.012679090723395348,
-0.008719686418771744,
-0.026941942051053047,
0.031909193843603134,
-0.012364137917757034,
-0.07515668123960495,
0.01846521906554699,
-0.01844722218811512,
-0.03847820684313774,
0.03410486504435539,
0.03630053251981735,
0.00934959203004837,
-0.01844722218811512,
-0.006614003796130419,
-0.007140424568206072,
0.048952627927064896,
0.03442881628870964,
-0.01492875162512064,
-0.07803624868392944,
0.00045330674038268626,
-0.02111082151532173,
-0.003570212284103036,
0.00866569485515356,
-0.0034689775202423334,
0.021866707131266594,
-0.006978448946028948,
-0.04279755428433418,
-0.0211288183927536,
0.04578510671854019,
0.03768632560968399,
0.03693043813109398,
-0.002434133319184184,
-0.059283073991537094,
-0.0008706189109943807,
-0.013273000717163086,
0.02089485339820385,
-0.023990387097001076,
0.0390901118516922,
-0.015405680052936077,
-0.01618856191635132,
0.005732136778533459,
0.017691336572170258,
-0.005237211473286152,
0.031081318855285645,
0.008071784861385822,
-0.0031607740093022585,
-0.06324247270822525,
-0.028327733278274536,
0.003453230019658804,
-0.012535111978650093,
-0.012364137917757034,
0.014001891016960144,
-0.0325750932097435,
0.08624301105737686,
0.0054666767828166485,
0.01665649190545082,
-0.012643096037209034,
-0.004899762105196714,
0.003615205641835928,
0.010123475454747677,
-0.006528516765683889,
-0.0013947898987680674,
-0.009120126254856586,
-0.014019888825714588,
-0.020012985914945602,
-0.06104680523276329,
0.03966602683067322,
0.006060587242245674,
-0.006384538486599922,
0.019599048420786858,
0.005021243821829557,
0.018420226871967316,
-0.015387683175504208,
0.053271979093551636,
0.015873609110713005,
0.01439783163368702,
0.02012096904218197,
0.009826520457863808,
-0.0015308944275602698,
-0.05287603661417961,
0.03772231936454773,
0.05161622539162636,
-0.029695527628064156,
0.045713115483522415,
-0.006074085365980864,
-0.05104031413793564,
0.05586358904838562,
-0.05341595411300659,
-0.015936600044369698,
-0.03306102007627487,
-0.00809428095817566,
0.017682336270809174,
0.04636101797223091,
0.007468875031918287,
-0.03930608183145523,
-0.02436833083629608,
0.015261701308190823,
0.024836258962750435,
0.04344545677304268,
-0.02197469025850296,
-0.007599355652928352,
0.020192958414554596,
-0.03343896567821503,
-0.00813477486371994,
0.002283406211063266,
0.023414473980665207,
-0.015675639733672142,
0.02220865525305271,
0.027535853907465935,
-0.03279106318950653,
-0.018069278448820114,
0.015324692241847515,
-0.020696884021162987,
0.01588260754942894,
0.0379742830991745,
0.007383388001471758,
0.0002768489357549697,
0.0053451950661838055,
0.02305452898144722,
0.0413217768073082,
-0.021884704008698463,
-0.01503673568367958,
0.05643950030207634,
0.01628754660487175,
0.019653040915727615,
-0.009147122502326965,
0.0018919650465250015,
-0.04049390181899071,
-0.00772983580827713,
0.04823273792862892,
-0.012283150106668472,
-0.00624955864623189,
-0.040313929319381714,
-0.023738425225019455,
-0.016476519405841827,
0.0034262340050190687,
0.004335097037255764,
0.03721839562058449,
0.05784329026937485,
-0.01848321594297886,
-0.03225114196538925,
-0.04963652417063713,
-0.039450060576200485,
0.013677939772605896,
-0.01794329844415188,
-0.014127872884273529,
0.04096183180809021,
0.027607843279838562,
0.023270495235919952,
0.01059140544384718,
-0.013749929144978523,
-0.017988290637731552,
0.005372190847992897,
0.048700664192438126,
-0.029209600761532784,
-0.011068332940340042,
0.0028233248740434647,
-0.01804228313267231,
-0.00466579757630825,
-0.0033992379903793335,
0.018357235938310623,
0.0721331387758255,
0.007509368937462568,
0.0017761075869202614,
0.006335046142339706,
0.01750236377120018,
0.00759035674855113,
0.0422576367855072,
-0.025628140196204185,
0.023396477103233337,
0.012823068536818027,
-0.01665649190545082,
0.016224557533860207,
0.0032170156482607126,
0.032683078199625015,
-0.03855019435286522,
0.0014870261074975133,
0.03383490443229675,
0.01586461067199707,
0.008908658288419247,
0.022442620247602463,
0.004123629070818424,
-0.009358590468764305,
-0.022460617125034332,
-0.022388627752661705,
0.007959301583468914,
0.031315285712480545,
0.00033688676194287837,
-0.03138727322220802,
-0.03262908756732941,
0.027859805151820183,
0.025970088317990303,
0.06302651017904282,
0.009052637033164501,
0.030217450112104416,
-0.04420134425163269,
0.014271850697696209,
0.028885649517178535,
0.03941406309604645,
-0.00978152733296156,
-0.01354296039789915,
0.03255709633231163,
-0.030001481994986534,
0.023990387097001076,
0.036732468754053116,
-0.012121174484491348,
0.035400670021772385,
0.024278344586491585,
0.040025971829891205,
-0.04398537427186966,
0.03288104757666588,
0.014109875075519085,
-0.017583351582288742,
-0.0057006413117051125,
-0.0011675741989165545,
0.0006658997153863311,
0.01045642513781786,
-0.0008734309813007712,
0.0000027198052521271165,
0.053020015358924866,
0.005889613181352615,
0.031837206333875656,
0.04240161553025246,
-0.03412286192178726,
0.06155073270201683,
0.029389573261141777,
-0.004269856959581375,
-0.026438018307089806,
0.03228713944554329,
0.031927190721035004,
0.005534166470170021,
0.015450673177838326,
0.02823774702847004,
0.011239307001233101,
-0.00937658827751875,
-0.002449881052598357,
-0.015513664111495018,
-0.01981501653790474,
-0.01704343408346176,
-0.05935506150126457,
-0.0053451950661838055,
0.009250607341527939,
-0.0072574070654809475,
-0.025394175201654434,
0.01478477381169796,
-0.06533016264438629,
-0.008854666724801064,
0.02499823458492756,
0.008661195635795593,
0.008656696416437626,
0.03329498693346977,
-0.023180508986115456,
0.030847353860735893,
0.019167114049196243,
0.011770227923989296,
-0.01086136419326067,
-0.015801619738340378,
0.029101617634296417,
0.024836258962750435,
0.06381838768720627,
-0.008404734544456005,
0.00800879392772913,
-0.013866911642253399,
-0.007315898314118385,
-0.003043791512027383,
0.0031067822128534317,
0.032683078199625015,
-0.005268706474453211,
0.04391338676214218,
0.06075885146856308,
0.0057816291227936745,
0.03912610933184624,
-0.05456778407096863,
0.0027783315163105726,
0.061406753957271576,
0.022982539609074593,
0.011293299496173859,
-0.04204167053103447,
-0.04693693295121193,
-0.018879156559705734,
0.0287596695125103,
0.010231459513306618,
0.005885113961994648,
-0.007864815182983875,
-0.0013407981023192406,
0.061694707721471786,
-0.07252907752990723,
0.0016962445806711912,
0.011347291059792042,
0.016080578789114952,
0.008319247514009476,
-0.02282056398689747,
0.003666947828605771,
-0.006294552236795425,
-0.04470526799559593,
0.0336909256875515,
-0.02008497528731823,
0.011617250740528107,
0.027013931423425674,
-0.027031928300857544,
0.012346141040325165,
0.02982150949537754,
-0.01844722218811512,
-0.004474576096981764,
0.014073880389332771,
0.038406215608119965,
-0.008188766427338123,
-0.022370630875229836,
0.004899762105196714,
-0.07090932130813599,
0.005241710692644119,
0.03336697444319725,
-0.012670092284679413,
0.017259400337934494,
0.015117723494768143,
0.0034217347856611013,
0.01902313530445099,
0.0033002530690282583,
-0.011734233237802982,
0.02469228208065033,
-0.025358181446790695,
-0.03172922134399414,
-0.011581256054341793,
0.002254160586744547,
-0.014676789753139019,
0.010600403882563114,
-0.0056691463105380535,
0.038622185587882996,
-0.06759782135486603,
0.01599959097802639,
0.022064676508307457,
-0.017763324081897736,
0.029965488240122795,
-0.008931155316531658,
-0.009601553902029991,
0.0023621441796422005,
0.021902700886130333,
0.01329099852591753,
0.029371576383709908,
-0.01842922531068325,
0.0395580418407917,
-0.01802428625524044,
-0.01895114593207836,
-0.026671983301639557,
-0.006029092241078615,
0.01833023875951767,
0.04603706672787666,
0.009565559215843678,
-0.001083211856894195,
0.08084382861852646,
-0.03342096880078316,
-0.01505473256111145,
-0.013902906328439713,
-0.0052822045981884,
-0.04092583805322647,
0.040781859308481216,
0.009205613285303116,
-0.019725030288100243,
0.0070144436322152615,
-0.002089935354888439,
-0.021650739014148712,
-0.021074825897812843,
-0.005682644434273243,
0.03451880067586899,
0.017439372837543488,
-0.022640589624643326,
-0.003806426888331771,
-0.011293299496173859,
-0.02602408081293106,
0.010123475454747677,
0.019113121554255486,
0.01806028001010418,
0.024800265207886696,
0.0016276298556476831,
-0.043301478028297424,
-0.036480505019426346,
-0.020390929654240608,
0.028867652639746666,
-0.03237712383270264,
-0.04369742050766945,
-0.02309052273631096,
-0.018879156559705734,
0.030865352600812912,
0.024260345846414566,
-0.003853669622913003,
0.04963652417063713,
0.05391988158226013,
-0.019635042175650597,
0.02363044209778309,
-0.07314098626375198,
0.01544167473912239,
-0.04096183180809021,
0.017007438465952873,
-0.0017052432522177696,
0.06583408266305923,
-0.001997699262574315,
0.005376690533012152,
-0.017844311892986298,
-0.02436833083629608,
0.017916301265358925,
0.012796073220670223,
-0.0034262340050190687,
0.007788327056914568,
-0.02006697840988636,
-0.008719686418771744,
0.0009718536166474223,
0.03779430687427521,
0.04236562177538872,
0.024296341463923454,
-0.02636602893471718,
0.015657642856240273,
0.006883963476866484,
0.07202515006065369,
-0.0293175857514143,
0.005840120371431112,
0.023486463353037834,
-0.03570662438869476,
-0.01896914280951023,
-0.0332769900560379,
0.031063321977853775,
0.016872460022568703,
0.03444681316614151,
-0.06335046142339706,
-0.019599048420786858,
-0.036768462508916855,
0.0105644091963768,
0.04506521299481392,
-0.051400259137153625,
0.067381851375103,
0.0005340133211575449,
-0.000013533118362829555,
-0.01817726343870163,
-0.012994043529033661,
-0.013282000087201595,
-0.07717237621545792,
0.009718536399304867,
-0.0117972232401371,
0.04794478043913841,
-0.030577395111322403,
0.06252258270978928,
0.026456015184521675,
-0.021326787769794464,
0.01748436689376831,
-0.002287905430421233,
-0.02850770764052868,
-0.01734938658773899,
0.030523402616381645,
-0.08084382861852646,
-0.00888616219162941,
0.04852069169282913,
0.0014184113824740052,
-0.02170473150908947,
-0.03149525821208954,
0.01846521906554699,
0.0005497609381563962,
-0.005727637559175491,
-0.031315285712480545,
0.02147076651453972,
-0.03858618810772896,
0.028345732018351555,
0.000643403094727546,
0.03829823434352875,
0.0293175857514143,
0.02413436584174633,
-0.01137428730726242,
0.010204463265836239,
0.0021169311366975307,
0.022892553359270096,
-0.005484674125909805,
0.019437072798609734,
0.003500472754240036,
-0.050068460404872894,
-0.025124216452240944,
0.011761228553950787,
0.0011799472849816084,
0.03577861189842224,
-0.03311501443386078,
0.04427333176136017,
0.023162512108683586,
-0.01329099852591753,
0.04207766428589821,
0.016179563477635384,
-0.00009357184899272397,
-0.004467827267944813,
-0.01779032126069069,
-0.03963003307580948,
0.006996446289122105,
0.028543701395392418,
-0.0008160645957104862,
0.04722488671541214,
-0.04121379181742668,
0.020030982792377472,
-0.03255709633231163,
0.0034577292390167713,
0.006357542704790831,
-0.028021780773997307,
0.014136871322989464,
-0.015621647238731384,
0.0350407212972641,
0.013192012906074524,
-0.011509266681969166,
0.017565354704856873,
0.057411354035139084,
-0.020210957154631615,
-0.00725290784612298,
0.003084285417571664,
-0.016953447833657265,
0.02818375639617443,
-0.021002836525440216,
-0.034284837543964386,
0.03963003307580948,
-0.008224761113524437,
0.009232609532773495,
-0.020678885281085968,
0.04128578305244446,
0.07846818119287491,
0.008638698607683182,
-0.02255060337483883,
-0.0038446709513664246,
0.011194313876330853,
0.026150062680244446,
-0.02091285027563572,
-0.045713115483522415,
-0.019887005910277367,
-0.01815926469862461,
-0.014190862886607647,
-0.03747035562992096,
0.025664135813713074,
0.02627604268491268,
0.035274688154459,
0.00883666891604662,
-0.008175268769264221,
-0.023648438975214958,
-0.03360094130039215,
-0.04258158802986145,
0.0646822601556778,
-0.04128578305244446,
-0.01452381256967783,
0.0181952603161335,
-0.008634199388325214,
-0.04531717672944069,
-0.001286806189455092,
-0.02552015706896782,
-0.01777232438325882,
0.02683395892381668,
-0.0014645294286310673,
0.018519211560487747,
0.026492010802030563,
-0.029641536995768547,
-0.038442209362983704,
-0.031927190721035004,
0.013938901014626026,
-0.005552163813263178,
0.03253909945487976,
-0.01738538220524788,
-0.033240992575883865,
-0.0108433673158288,
-0.020966842770576477,
0.06047089397907257,
0.024260345846414566,
0.002596108941361308,
0.06331446766853333,
-0.008584707044064999,
-0.010132473893463612,
0.03262908756732941,
-0.0010145972482860088,
-0.016800470650196075,
0.001825600047595799,
0.019473066553473473,
-0.031891196966171265,
0.005381189752370119,
0.026959940791130066,
-0.007725336588919163,
0.0009009893401525915,
-0.007522867061197758,
0.04103381931781769,
-0.021578749641776085,
0.05042840540409088,
-0.03421284630894661
] |
Invertible Neural Networks (INN) have become established tools for the
simulation and generation of highly complex data. We propose a quantum-gate
algorithm for a Quantum Invertible Neural Network (QINN) and apply it to the
LHC data of jet-associated production of a Z-boson that decays into leptons, a
standard candle process for particle collider precision measurements. We
compare the QINN's performance for different loss functions and training
scenarios. For this task, we find that a hybrid QINN matches the performance of
a significantly larger purely classical INN in learning and generating complex
data. | [
-0.04067187011241913,
0.014559509232640266,
-0.02955635078251362,
0.006696645636111498,
0.022212818264961243,
-0.01775749959051609,
0.024490589275956154,
0.04668518528342247,
0.010195300914347172,
0.03216211870312691,
-0.01188996247947216,
-0.03152434527873993,
-0.0027606578078120947,
-0.006286646705120802,
0.005562315694987774,
0.018714163452386856,
-0.03546033054590225,
-0.012500404380261898,
0.00560787133872509,
-0.0403074286878109,
-0.0006952894618734717,
-0.017001278698444366,
-0.04376963898539543,
-0.03540566563606262,
0.04070831462740898,
0.023142149671912193,
-0.007917530834674835,
0.005375538486987352,
-0.07307087630033493,
0.038813211023807526,
-0.005630648694932461,
0.01423151046037674,
-0.01593528315424919,
-0.021046599373221397,
-0.01121574267745018,
-0.01271907053887844,
0.03602521866559982,
0.04595629870891571,
-0.05944070219993591,
-0.06144513934850693,
0.03309145197272301,
0.03688165917992592,
0.034877222031354904,
0.02181193046271801,
0.018140165135264397,
-0.0323990099132061,
-0.015288395807147026,
-0.07212332636117935,
0.000013319619029061869,
-0.004284486640244722,
0.036061663180589676,
-0.043696749955415726,
0.032271452248096466,
-0.002248159609735012,
-0.026294583454728127,
0.013402402400970459,
0.029428794980049133,
0.0628664642572403,
0.0781366378068924,
-0.02602125145494938,
0.02602125145494938,
0.022030597552657127,
-0.07478376477956772,
-0.007539420388638973,
-0.013511735014617443,
-0.06195535883307457,
0.020390601828694344,
-0.0831659585237503,
0.05036606267094612,
-0.020190158858895302,
-0.07117577642202377,
-0.022449705749750137,
-0.027971021831035614,
0.00020998196850996464,
-0.01973460428416729,
0.04438919201493263,
0.014012844301760197,
0.03443989157676697,
0.016919279471039772,
0.05962292104959488,
-0.0000854163954500109,
0.01698305644094944,
0.0034713223576545715,
-0.02450881153345108,
0.06330379843711853,
0.036006998270750046,
0.018714163452386856,
-0.03369278088212013,
0.03750121593475342,
-0.0714673325419426,
-0.039651431143283844,
0.012655293568968773,
-0.038084324449300766,
-0.032016344368457794,
-0.008013197220861912,
0.04325941950082779,
0.01371217891573906,
-0.024071479216217995,
-0.011507296934723854,
0.06191891431808472,
0.005780981853604317,
-0.016235949471592903,
0.07460153847932816,
0.012500404380261898,
0.020026158541440964,
-0.04861673340201378,
-0.025055475533008575,
0.0280985776335001,
-0.007671531289815903,
0.1309080272912979,
0.019953269511461258,
-0.008072419092059135,
-0.028882130980491638,
0.006013314239680767,
-0.017475055530667305,
-0.02481858804821968,
-0.04912695661187172,
-0.009903746657073498,
-0.010915076360106468,
-0.053609609603881836,
-0.006678423378616571,
0.07062911242246628,
0.035023000091314316,
0.04726829379796982,
-0.0403074286878109,
0.03048568032681942,
-0.029611017554998398,
-0.025511030107736588,
0.030194126069545746,
-0.000769317033700645,
0.004635263234376907,
-0.04253053292632103,
-0.05758203938603401,
-0.0733259916305542,
0.007908419705927372,
-0.02793457731604576,
0.05473938211798668,
-0.0056579820811748505,
0.04212964326143265,
-0.05062117427587509,
0.0070838662795722485,
-0.0506940633058548,
0.010687299072742462,
-0.02046349085867405,
-0.028809241950511932,
0.0013290791539475322,
-0.019279049709439278,
-0.005298094358295202,
-0.0004743457247968763,
-0.02736969105899334,
-0.031068790704011917,
0.08338462561368942,
0.0018279108917340636,
0.007434643339365721,
0.028627021238207817,
0.011261297389864922,
-0.01417684368789196,
0.04059898108243942,
0.03815721347928047,
-0.0745650976896286,
0.004389263689517975,
-0.0010432188864797354,
-0.030285237357020378,
0.056160710752010345,
0.013329513370990753,
0.03859454393386841,
0.0556504912674427,
0.028481243178248405,
-0.04963717609643936,
0.04212964326143265,
0.011999295093119144,
0.04008876159787178,
-0.05634293332695961,
-0.023980367928743362,
-0.0036262108478695154,
0.014605064876377583,
0.0757313147187233,
-0.0391412079334259,
-0.03833943232893944,
0.0035419331397861242,
-0.03529633209109306,
0.024745699018239975,
0.056160710752010345,
0.08156240731477737,
0.03589766472578049,
0.03371100500226021,
0.08207263052463531,
0.006077091675251722,
0.05535893514752388,
0.022559039294719696,
0.007056533358991146,
-0.011835295706987381,
0.02970212884247303,
-0.002366603584960103,
0.018213054165244102,
0.0002489887992851436,
0.0014395510079339147,
-0.033984337002038956,
-0.0037856546696275473,
0.030722569674253464,
-0.013621067628264427,
-0.0519331693649292,
-0.00649164617061615,
-0.010614410974085331,
-0.01973460428416729,
0.014313510619103909,
0.008140752092003822,
-0.028590576723217964,
0.026877691969275475,
-0.05350027605891228,
-0.022759484127163887,
-0.021411042660474777,
-0.03192523121833801,
-0.014468398876488209,
-0.026367472484707832,
-0.02815324440598488,
-0.053718939423561096,
-0.02829902060329914,
-0.07981307804584503,
-0.03638966381549835,
-0.02295992709696293,
0.01926082745194435,
0.09934724122285843,
-0.030048349872231483,
-0.034403447061777115,
-0.035132333636283875,
0.011124631389975548,
0.002792546758428216,
-0.016117503866553307,
0.01027730107307434,
-0.022504372522234917,
-0.03407544642686844,
0.03179767727851868,
-0.00009552400297252461,
-0.01249129418283701,
-0.010022190399467945,
0.013593734242022038,
0.0057718707248568535,
0.02004438079893589,
-0.03436700254678726,
0.03536922112107277,
0.03179767727851868,
-0.013520846143364906,
0.020682156085968018,
0.008113418705761433,
0.009839968755841255,
-0.020682156085968018,
0.02071860060095787,
0.06388691067695618,
-0.011060853488743305,
-0.041619423776865005,
-0.022413263097405434,
-0.004106820095330477,
-0.00957574788480997,
-0.06592778861522675,
-0.02726035751402378,
0.0007300254656001925,
0.002389381406828761,
-0.05404694005846977,
-0.013930845074355602,
-0.004833429120481014,
0.029301241040229797,
-0.01609928160905838,
0.08484239876270294,
-0.02731502428650856,
-0.023852813988924026,
0.04107275977730751,
0.016582170501351357,
0.03779276832938194,
0.017019500955939293,
-0.003400711342692375,
0.01681905798614025,
-0.02285059355199337,
-0.054447825998067856,
0.04792429134249687,
-0.0727793276309967,
-0.004774207249283791,
-0.03145145624876022,
-0.00205796561203897,
-0.03157901018857956,
0.022048819810152054,
-0.004787873942404985,
0.005033873021602631,
0.003940543159842491,
-0.01350262388586998,
-0.005758204031735659,
-0.047122515738010406,
0.01414951030164957,
-0.05062117427587509,
-0.008723861537873745,
0.013119958341121674,
0.015661951154470444,
-0.07248777151107788,
0.02082793414592743,
0.02237681858241558,
0.02762480080127716,
-0.010167967528104782,
-0.051131393760442734,
0.058748260140419006,
0.05105850473046303,
-0.03478611260652542,
0.012400182895362377,
0.06869755685329437,
0.030449237674474716,
-0.05754559487104416,
0.020755045115947723,
0.045263856649398804,
0.06395979970693588,
-0.01750238984823227,
0.046612296253442764,
0.047122515738010406,
0.0027720467187464237,
-0.011935518123209476,
-0.06308513134717941,
-0.01765727810561657,
-0.003646710654720664,
0.03764699026942253,
0.04263986647129059,
0.0075166430324316025,
-0.024490589275956154,
0.031542565673589706,
-0.004468985833227634,
-0.07252421230077744,
0.03870387747883797,
0.038813211023807526,
0.020900823175907135,
-0.005411983001977205,
0.04227542132139206,
-0.002327881520614028,
-0.00253060320392251,
0.015033286064863205,
-0.0580558143556118,
-0.04511807858943939,
-0.02321503683924675,
0.02580258436501026,
0.02020838111639023,
-0.030157681554555893,
0.012937736697494984,
-0.022358596324920654,
-0.04621141031384468,
-0.011097298003733158,
0.007420976646244526,
-0.003799321362748742,
-0.021374598145484924,
-0.028426576405763626,
-0.05291716381907463,
-0.05186028033494949,
-0.010495966300368309,
-0.003487266832962632,
0.04777851700782776,
0.0009076915448531508,
-0.02787991240620613,
-0.03925054147839546,
0.010331966914236546,
0.03682699427008629,
-0.034549225121736526,
0.028791019693017006,
0.029993683099746704,
-0.00349182216450572,
-0.0006799144903197885,
-0.0017777999164536595,
0.002817602129653096,
-0.028116799890995026,
0.022413263097405434,
-0.08491528779268265,
-0.027643023058772087,
-0.03837587684392929,
-0.03597055375576019,
0.0030727125704288483,
0.0028768242336809635,
0.013511735014617443,
0.035278111696243286,
-0.031014123931527138,
0.0025442696642130613,
-0.011042631231248379,
-0.06935355812311172,
-0.02798924408853054,
-0.032581228762865067,
-0.047742072492837906,
0.03405722603201866,
-0.005530426744371653,
0.016536613926291466,
-0.002118326723575592,
0.024654587730765343,
0.019443050026893616,
-0.02279592864215374,
0.02638569474220276,
-0.0385216549038887,
-0.05852959305047989,
0.013147291727364063,
0.01271907053887844,
-0.03278167545795441,
-0.08513395488262177,
-0.03724610432982445,
0.015443284064531326,
0.013511735014617443,
-0.0037218770012259483,
-0.031032346189022064,
0.004512263461947441,
0.01598994992673397,
-0.015434172935783863,
0.00781730841845274,
-0.013648401014506817,
-0.009297859854996204,
-0.010532410815358162,
-0.012454849667847157,
-0.07565842568874359,
0.001144010224379599,
-0.001202662824653089,
0.02237681858241558,
-0.01688283495604992,
-0.035697221755981445,
0.01584417186677456,
-0.020445268601179123,
0.05630648881196976,
0.013739512301981449,
-0.044899411499500275,
0.047596294432878494,
-0.020026158541440964,
-0.03143323212862015,
-0.014404620975255966,
0.03979720547795296,
0.007666975725442171,
-0.004056709352880716,
-0.02731502428650856,
0.03921409696340561,
0.05331805348396301,
-0.002446325495839119,
0.052006058394908905,
-0.05043895170092583,
0.04045320674777031,
0.003938265144824982,
0.0174021665006876,
0.011589296162128448,
-0.03925054147839546,
-0.010541521944105625,
0.003585210768505931,
-0.030339904129505157,
-0.01578950509428978,
-0.008145307190716267,
0.019242605194449425,
0.04755984991788864,
-0.028499465435743332,
0.011990183964371681,
-0.006218313705176115,
0.00794486328959465,
-0.03137856721878052,
-0.08083352446556091,
-0.04067187011241913,
0.010605299845337868,
-0.04836162552237511,
-0.03146967664361,
-0.05524960160255432,
-0.028627021238207817,
0.027697689831256866,
0.007320754695683718,
-0.006692090071737766,
0.01651839166879654,
0.0641055777668953,
0.005052095279097557,
0.0016764390747994184,
0.0855712816119194,
-0.03345589339733124,
-0.053828272968530655,
0.03059501387178898,
-0.0033984335605055094,
-0.01723816804587841,
-0.01572572812438011,
-0.02139282040297985,
0.014523064717650414,
0.06680245697498322,
0.023743480443954468,
-0.007990418933331966,
0.024035034701228142,
0.01937016099691391,
0.015497950837016106,
-0.016691502183675766,
-0.023287925869226456,
-0.04384252801537514,
-0.05473938211798668,
0.052479833364486694,
-0.005097650457173586,
-0.007111199665814638,
-0.018030831590294838,
0.005434760358184576,
0.03382033854722977,
0.08331173658370972,
0.03540566563606262,
-0.029574573040008545,
-0.03595232963562012,
-0.041619423776865005,
-0.06439712643623352,
0.00253060320392251,
-0.004163764417171478,
0.026604359969496727,
-0.036316774785518646,
-0.0056215375661849976,
-0.001448662020266056,
0.0494549535214901,
-0.0005566301988437772,
0.028062133118510246,
-0.05645226687192917,
-0.03259945288300514,
0.035387445241212845,
-0.014422843232750893,
0.025656808167696,
0.06946288794279099,
0.009912857785820961,
-0.007612309418618679,
-0.024490589275956154,
-0.022449705749750137,
-0.02616702765226364,
0.007020088844001293,
0.009812635369598866,
0.02082793414592743,
-0.04169231280684471,
-0.004257153254002333,
-0.01989860273897648,
0.03469499945640564,
0.04336875304579735,
0.03589766472578049,
-0.006345868576318026,
0.036061663180589676,
0.023123927414417267,
-0.04045320674777031,
0.046758074313402176,
0.019297271966934204,
-0.030285237357020378,
0.02020838111639023,
0.02975679375231266,
-0.03589766472578049,
0.027971021831035614,
-0.006468868348747492,
-0.0659642368555069,
-0.027096359059214592,
0.0020909933373332024,
-0.026003029197454453,
-0.01853194087743759,
-0.04129142314195633,
-0.03950565308332443,
-0.01880527287721634,
0.06173669174313545,
0.04653940722346306,
0.012791959568858147,
0.03888610005378723,
-0.014759953133761883,
0.016117503866553307,
-0.011042631231248379,
0.016527503728866577,
-0.04121853783726692,
-0.025656808167696,
-0.0034485445357859135,
0.03194345533847809,
0.02959279529750347,
-0.022358596324920654,
0.007243310566991568,
-0.014340843074023724,
-0.05350027605891228,
0.007657864596694708,
-0.019406605511903763,
0.03899543359875679,
0.013721290044486523,
-0.012791959568858147,
-0.02866346389055252,
-0.05856603756546974,
-0.03983364999294281,
0.01801260933279991,
0.027387913316488266,
-0.026476804167032242,
-0.02487325482070446,
0.008482418023049831,
0.011443519033491611,
-0.04078120365738869,
0.007539420388638973,
0.04989228770136833,
0.01230907253921032,
0.0032025454565882683,
0.007061088923364878,
0.023543035611510277,
-0.014377287589013577,
-0.006919866893440485,
-0.03272700682282448,
-0.0023643258027732372,
0.05962292104959488,
0.0136028453707695,
-0.015753060579299927,
-0.002569325268268585,
0.00810430757701397,
0.0075576426461339,
-0.0052479831501841545,
-0.05422916263341904,
0.03957854211330414,
-0.020627489313483238,
0.0397607646882534,
-0.052479833364486694,
-0.001849549706093967,
-0.011598407290875912,
0.01744772307574749,
0.020335935056209564,
-0.054812271147966385,
-0.0409269817173481,
-0.022340374067425728,
0.03048568032681942,
0.01951593905687332,
-0.019023939967155457,
-0.0021638821344822645,
-0.0277888011187315,
0.011971961706876755,
0.02939235046505928,
-0.00042081810534000397,
0.02818968892097473,
-0.033310115337371826,
0.029574573040008545,
-0.01719261147081852,
0.003605710808187723,
0.03522344306111336,
0.005179650150239468,
-0.03296389430761337,
-0.04438919201493263,
-0.026258138939738274,
0.02192126400768757,
-0.013939956203103065,
0.024545256048440933,
-0.027023470029234886,
0.0003633043961599469,
0.0036922660656273365,
-0.027351468801498413,
0.03438522294163704,
0.022978149354457855,
0.0035897663328796625,
-0.005981425289064646,
-0.014923952519893646,
-0.028645243495702744,
-0.011662185192108154,
0.028572354465723038,
-0.010541521944105625,
-0.011479963548481464,
0.03380211442708969,
0.01399462204426527,
0.014422843232750893,
0.005411983001977205,
0.027497246861457825,
0.018094608560204506,
-0.008978971280157566,
-0.0011645101476460695,
0.026549693197011948,
-0.01396728865802288,
-0.04555541276931763,
0.029064351692795753,
0.0339478924870491,
0.007307088002562523,
0.012135961093008518,
-0.0008148724446073174,
0.03815721347928047,
0.01754794456064701,
-0.012354627251625061,
0.0489082895219326,
-0.02108304388821125,
0.010413967072963715,
0.06949933618307114,
0.04934561997652054,
0.006564534734934568,
0.022413263097405434,
0.008696528151631355,
0.0003929154190700501,
-0.024691032245755196,
0.02046349085867405,
-0.00550309382379055,
0.04205675423145294,
-0.03598877415060997,
0.006400535348802805,
-0.027351468801498413,
0.004669429734349251,
0.017374834045767784,
0.030722569674253464,
-0.01875060796737671,
-0.0023028261493891478,
0.037683434784412384,
-0.005070317070931196,
-0.04548252373933792,
-0.03402078151702881,
0.015261062420904636,
-0.019643492996692657,
-0.02128348872065544,
-0.05710826441645622,
-0.012217961251735687,
0.004250319674611092,
0.02212170697748661,
-0.006833311636000872,
0.0029588239267468452,
-0.00033824893762357533,
-0.07959441095590591,
0.024782143533229828,
0.032380785793066025,
0.013365957885980606,
-0.027661245316267014,
-0.0023347148671746254,
0.03884965553879738,
0.0085461949929595,
-0.04274919629096985,
-0.012545960023999214,
-0.003710488323122263,
0.03188878670334816,
0.009867302142083645,
-0.0136028453707695,
0.009347970597445965,
0.03192523121833801,
-0.014459287747740746,
-0.004970095586031675,
0.005466649308800697,
0.02602125145494938,
0.009867302142083645,
0.03349233791232109,
0.048689622431993484,
0.01926082745194435,
0.03168834373354912,
0.005990536417812109,
-0.018841717392206192,
-0.0003712766047101468,
-0.005279872100800276,
0.004528207704424858,
0.052479833364486694,
0.006140869576483965,
-0.051641613245010376,
0.01524284016340971,
0.04745051637291908,
0.02928301878273487,
-0.006897089071571827,
0.015971727669239044,
0.0110061876475811,
-0.005439315922558308,
0.01137063093483448,
0.028882130980491638,
0.009029082953929901,
-0.04249408841133118,
0.057764261960983276,
0.015661951154470444,
0.02254081703722477,
0.01978927105665207,
-0.008040529675781727,
0.010550633072853088,
-0.014787286520004272,
-0.0010067746043205261,
0.018158387392759323,
0.021684376522898674,
0.001655939151532948,
-0.013666623272001743,
0.017320167273283005,
0.015470617450773716,
-0.004207042045891285,
0.04249408841133118,
-0.02886390872299671,
-0.016627725213766098,
-0.04803362488746643,
-0.02736969105899334,
-0.007361754309386015,
0.027971021831035614,
-0.022267485037446022,
0.03278167545795441,
-0.01646372489631176,
0.003074990352615714,
0.037355437874794006,
0.005184205714613199,
0.019825715571641922,
0.016035504639148712,
-0.0342576690018177,
-0.007525754161179066,
-0.018058165907859802,
0.0151152852922678,
-0.022048819810152054,
-0.012518626637756824,
0.02986612729728222,
0.015579950995743275,
-0.01475084200501442,
-0.018295053392648697,
-0.042457643896341324,
-0.011935518123209476,
0.030941234901547432,
0.0342576690018177,
0.00023432564921677113,
-0.019351938739418983,
0.030868345871567726,
0.01045952271670103,
-0.000256960978731513,
-0.03504122048616409,
-0.008350307121872902,
-0.03489544615149498,
-0.03826654702425003,
-0.013047069311141968,
-0.017383944243192673,
-0.048944734036922455,
-0.04792429134249687,
0.03340122848749161,
0.0010489133419468999,
0.045045189559459686,
0.032380785793066025,
0.005812870338559151,
-0.0010272745275869966,
-0.01222707238048315,
-0.012263516895473003,
0.027898134663701057,
0.0006457479321397841,
-0.02829902060329914,
0.004386986140161753,
-0.0029269352089613676,
-0.01082396600395441,
-0.053974051028490067,
0.000775580876506865,
-0.011088186874985695,
-0.012263516895473003,
0.01222707238048315,
-0.029683906584978104,
0.024691032245755196,
0.03110523521900177,
0.0357336662709713,
0.003585210768505931,
-0.04431630298495293,
0.01285573747009039,
0.01454128697514534,
0.005708092823624611,
-0.030868345871567726,
-0.0253470316529274,
0.014404620975255966,
-0.06148158386349678,
-0.038448765873909,
-0.007284310180693865,
0.03043101541697979,
0.020445268601179123,
-0.00958485808223486,
-0.0020750490948557854,
0.004705873783677816,
0.06428779661655426,
-0.015497950837016106,
0.006728534121066332,
-0.033055007457733154,
0.020991932600736618,
0.0004421721969265491,
0.026112360879778862,
-0.019661715254187584,
0.012965070083737373,
0.017055945470929146,
0.0036284883972257376,
0.0317794531583786,
-0.043441638350486755,
-0.0033574337139725685,
0.009320637211203575,
-0.027661245316267014,
-0.021210599690675735,
-0.00797219667583704,
-0.01290129218250513,
0.011434407904744148,
0.021301710978150368,
0.01697394624352455,
0.016910169273614883,
-0.008017752319574356,
-0.028791019693017006,
0.00862363912165165,
0.008350307121872902,
-0.018358830362558365,
0.006200091447681189,
0.01672794669866562,
0.01027730107307434,
0.06111713871359825,
-0.031815897673368454,
0.022978149354457855,
-0.0023825480602681637,
0.006455201655626297,
-0.024107923731207848,
0.010751076973974705,
-0.039286985993385315,
-0.009129304438829422,
-0.007735308725386858,
-0.03110523521900177,
0.03910476341843605,
-0.008131640963256359,
-0.037464771419763565,
0.005903981160372496,
-0.02394392341375351,
-0.020991932600736618,
0.012245294637978077,
-0.04559185728430748,
-0.0030043793376535177,
0.018249496817588806,
0.012828404083848,
0.01869594119489193,
0.01572572812438011,
-0.04059898108243942,
-0.04788784682750702,
-0.007584976032376289,
0.00016100991342682391,
-0.009803524240851402,
0.022212818264961243,
-0.02237681858241558,
0.0262763611972332,
0.011817073449492455,
-0.03192523121833801,
-0.055431824177503586,
-0.009338859468698502,
0.0010358161525800824,
-0.049054067581892014,
0.0036125441547483206,
-0.018732385709881783,
-0.03646255284547806,
-0.011233964003622532,
0.005370982922613621,
-0.007293421309441328,
-0.0053390939719974995,
-0.00179829983972013,
0.015133507549762726,
-0.008445973508059978,
0.0010221495758742094,
0.04497230052947998,
0.03136034682393074,
-0.02571147494018078,
-0.006040647625923157,
-0.004405208397656679,
-0.018313275650143623,
-0.004238930996507406,
0.07930286228656769,
-0.0075485315173864365,
0.04205675423145294,
0.023670591413974762,
0.052006058394908905,
0.0055440934374928474,
-0.009042749181389809,
-0.04315008595585823,
0.02554747462272644,
-0.011279519647359848,
-0.012290850281715393,
0.014860175549983978,
0.0067923120222985744,
0.023433703929185867,
0.033783894032239914,
0.03443989157676697,
0.05820159241557121,
0.028572354465723038,
0.03192523121833801,
-0.00026080472161993384,
0.017575277015566826,
-0.0015796339139342308,
-0.0195341594517231,
0.0037446548230946064,
-0.027497246861457825,
0.024071479216217995,
0.01813105307519436,
-0.008878749795258045,
0.01620861515402794,
-0.030285237357020378,
-0.047086071223020554,
0.048070069402456284,
-0.04067187011241913,
-0.011015298776328564,
0.017019500955939293,
-0.005042984150350094,
-0.027132803574204445,
0.025930140167474747,
-0.03562433272600174,
-0.0000053474223022931255,
-0.04256697744131088,
0.03567899763584137,
0.025930140167474747,
-0.026258138939738274,
-0.007325310260057449,
-0.02891857549548149,
0.04019809514284134,
-0.028390131890773773,
-0.04963717609643936,
-0.03629855066537857,
-0.06403268873691559,
-0.020190158858895302,
-0.01319284737110138,
0.018841717392206192,
0.014340843074023724,
0.05729048699140549,
0.02029949054121971,
0.007416421081870794,
0.0280985776335001,
0.005954092368483543,
-0.04927273094654083,
0.05473938211798668,
0.03895898908376694,
-0.010860409587621689,
0.04274919629096985,
0.04110920429229736,
0.0027879911940544844,
-0.008609972894191742,
-0.009211304597556591,
0.0060862028039991856,
-0.05218827724456787,
0.03830299153923988,
0.028062133118510246,
-0.014650620520114899,
0.059695810079574585,
-0.03223500773310661,
0.029738573357462883,
0.03431233391165733,
0.04985584318637848,
-0.02798924408853054,
-0.0259665846824646,
0.021739041432738304,
-0.007152199745178223,
-0.004355097189545631,
0.017329279333353043,
0.06268424540758133,
0.011079075746238232,
-0.006883422844111919,
0.02046349085867405,
0.012873958796262741,
-0.03276345133781433,
0.042093198746442795,
0.027406135573983192,
-0.026039473712444305,
-0.004104542545974255,
0.0039519318379461765,
-0.03655366227030754,
0.04180164635181427,
-0.002869990887120366,
-0.01937016099691391,
0.026148805394768715,
0.01895105093717575,
0.040635425597429276,
-0.032799895852804184,
0.009557525627315044,
-0.04140075668692589
] |
Sim-and-real training is a promising alternative to sim-to-real training for
robot manipulations. However, the current sim-and-real training is neither
efficient, i.e., slow convergence to the optimal policy, nor effective, i.e.,
sizeable real-world robot data. Given limited time and hardware budgets, the
performance of sim-and-real training is not satisfactory. In this paper, we
propose a Consensus-based Sim-And-Real deep reinforcement learning algorithm
(CSAR) for manipulator pick-and-place tasks, which shows comparable performance
in both sim-and-real worlds. In this algorithm, we train the agents in
simulators and the real world to get the optimal policies for both sim-and-real
worlds. We found two interesting phenomenons: (1) Best policy in simulation is
not the best for sim-and-real training. (2) The more simulation agents, the
better sim-and-real training. The experimental video is available at:
https://youtu.be/mcHJtNIsTEQ. | [
0.01113493088632822,
-0.007718849927186966,
-0.0429343543946743,
-0.06137745827436447,
-0.006281482521444559,
0.007620847783982754,
-0.013001642189919949,
0.02622728981077671,
-0.08825809508562088,
0.034310147166252136,
-0.03823024034500122,
-0.039126262068748474,
0.04233700409531593,
-0.06186280399560928,
-0.020701825618743896,
0.06626824289560318,
0.040544964373111725,
0.039723608642816544,
0.016100382432341576,
-0.04192632809281349,
0.028691347688436508,
-0.007620847783982754,
-0.006734159775078297,
0.029064690694212914,
-0.00258072791621089,
0.013318982906639576,
0.004951450973749161,
0.009006880223751068,
-0.08698873221874237,
0.023931235074996948,
-0.00593614112585783,
0.032294102013111115,
-0.0026880637742578983,
0.015381698496639729,
-0.007700182963162661,
0.0019320459105074406,
0.0701136663556099,
0.027067309245467186,
-0.1031917855143547,
0.05880139768123627,
0.0021922187879681587,
-0.0015015356475487351,
-0.02889668568968773,
0.012628300115466118,
-0.03132341057062149,
0.018499106168746948,
-0.025797946378588676,
-0.0025270599871873856,
-0.007947522215545177,
-0.00739684235304594,
-0.026395292952656746,
-0.03391813859343529,
0.020496487617492676,
-0.027011308819055557,
-0.02200852334499359,
0.0499158538877964,
0.00773285049945116,
-0.009744231589138508,
0.026507295668125153,
0.023651229217648506,
0.014616346918046474,
-0.018788445740938187,
-0.07478044182062149,
0.006440152879804373,
-0.017285743728280067,
-0.07586313784122467,
0.030166050419211388,
-0.04748912900686264,
0.034160811454057693,
-0.03236876800656319,
-0.03395547345280647,
-0.03938760235905647,
-0.03393680602312088,
-0.023725897073745728,
-0.01458834670484066,
0.035112835466861725,
0.042299672961235046,
0.044091712683439255,
0.015792375430464745,
-0.0026203955058008432,
0.009333554655313492,
0.008456201292574406,
0.015017690137028694,
0.020216479897499084,
0.1187228187918663,
-0.05812938138842583,
0.026189954951405525,
-0.07056167721748352,
-0.003843091195449233,
-0.013888330198824406,
-0.03475815802812576,
-0.002007880946621299,
0.018592441454529762,
0.012376293540000916,
-0.0004532607563305646,
0.03455282002687454,
-0.016389722004532814,
-0.006524154916405678,
-0.033432792872190475,
-0.020085809752345085,
-0.011349602602422237,
-0.004099763929843903,
0.044166382402181625,
0.007424843031913042,
0.01485901977866888,
-0.014709683135151863,
-0.06436419486999512,
-0.0038967591244727373,
-0.054582629352808,
0.1231282576918602,
-0.027552654966711998,
0.0073548415675759315,
-0.01851777359843254,
0.018975118175148964,
-0.07690849155187607,
-0.0400969535112381,
-0.017827089875936508,
-0.07668448984622955,
0.051073212176561356,
-0.018695110455155373,
-0.02394990250468254,
0.0869140625,
0.007583513390272856,
-0.018900448456406593,
-0.03438481688499451,
0.03475815802812576,
-0.025368602946400642,
-0.005572132300585508,
0.034832827746868134,
0.01820976659655571,
-0.035654179751873016,
-0.03139808028936386,
-0.024117905646562576,
0.05361194163560867,
0.026917973533272743,
-0.02775799296796322,
0.003857091534882784,
-0.0005489297327585518,
-0.06048143655061722,
0.018191099166870117,
-0.015895044431090355,
-0.0796712264418602,
-0.0027067309711128473,
0.017808422446250916,
-0.004342436324805021,
-0.02131783962249756,
-0.022251194342970848,
0.04312102496623993,
-0.04506240412592888,
0.04883316159248352,
-0.03916359692811966,
0.007242838852107525,
-0.016557727009058,
0.05081187188625336,
0.03897692635655403,
0.023725897073745728,
0.02449124865233898,
-0.024509916082024574,
0.026320625096559525,
0.006244148127734661,
0.10677587240934372,
-0.017323078587651253,
-0.033096786588430405,
0.044166382402181625,
0.022643204778432846,
0.019283125177025795,
0.020347150042653084,
-0.008600871078670025,
-0.01598837971687317,
0.05566532164812088,
-0.0571586899459362,
-0.017248408868908882,
0.011340268887579441,
0.03815557435154915,
0.037763562053442,
0.02925136126577854,
0.05051320046186447,
-0.05514264479279518,
-0.020757826045155525,
0.016352389007806778,
-0.0024710586294531822,
-0.034571487456560135,
-0.03143541142344475,
0.06406552344560623,
0.02226986177265644,
0.04562241584062576,
0.01387899648398161,
-0.0015190361300483346,
0.014532345347106457,
-0.011078929528594017,
-0.01204028632491827,
0.01133093610405922,
0.02152317762374878,
-0.019432460889220238,
0.007415509317070246,
-0.020739158615469933,
-0.01720174215734005,
0.0020382150541990995,
0.007569513283669949,
0.03871558606624603,
-0.052678585052490234,
-0.018816446885466576,
0.01963779889047146,
-0.02400590293109417,
0.04390504211187363,
-0.015213694423437119,
0.024453913792967796,
-0.031062070280313492,
0.04368103668093681,
-0.10573051124811172,
0.018321769312024117,
-0.023987235501408577,
0.003178075421601534,
-0.023987235501408577,
-0.054059948772192,
0.010584251023828983,
0.008535536006093025,
0.034907497465610504,
-0.04327036067843437,
-0.008213528431952,
-0.048385150730609894,
-0.025648608803749084,
0.02876601740717888,
-0.016903068870306015,
0.012544297613203526,
-0.014551011845469475,
0.019049786031246185,
0.008848209865391254,
0.012348293326795101,
0.03791290149092674,
0.035915520042181015,
-0.02783266082406044,
0.03837957978248596,
0.026003284379839897,
-0.015409699641168118,
-0.020440485328435898,
-0.021747183054685593,
0.04103030636906624,
-0.02165384776890278,
-0.0027090643998235464,
-0.0037380887661129236,
-0.009734897874295712,
0.012049619108438492,
0.004277101717889309,
0.018013760447502136,
0.03292878344655037,
0.008334864862263203,
-0.012674967758357525,
0.05361194163560867,
0.0010062739020213485,
-0.04834781587123871,
-0.034571487456560135,
-0.017556417733430862,
0.023576559498906136,
-0.023501891642808914,
0.0393129326403141,
0.03341412544250488,
-0.03494482859969139,
0.017183074727654457,
0.001955379731953144,
0.021149836480617523,
0.02837400697171688,
0.014280338771641254,
0.010061572305858135,
-0.002417390700429678,
0.008330198004841805,
0.00023450556909665465,
0.009800232946872711,
0.0016205385327339172,
0.012954974547028542,
-0.0403582900762558,
-0.012982974760234356,
-0.04185166209936142,
0.030875399708747864,
-0.03065139427781105,
-0.02092583104968071,
0.04226233810186386,
0.011181598529219627,
0.021429842337965965,
0.03541150689125061,
0.04345703125,
0.028411341831088066,
0.030296718701720238,
-0.0032714109402149916,
-0.007042167242616415,
-0.048795826733112335,
-0.039872948080301285,
0.032630108296871185,
-0.034235481172800064,
0.022755207493901253,
0.01059358473867178,
-0.022027188912034035,
0.014140335842967033,
0.03867825120687485,
0.06096678227186203,
0.003028738545253873,
-0.013328316621482372,
-0.004839448258280754,
0.014784350991249084,
-0.027123311534523964,
0.03580351546406746,
-0.015951044857501984,
0.050475865602493286,
0.04775046557188034,
-0.001323031377978623,
0.06947898119688034,
-0.029494034126400948,
0.028859352692961693,
-0.04554774984717369,
-0.03104340471327305,
0.04207566753029823,
-0.029942044988274574,
0.010537583380937576,
0.0024920592550188303,
-0.023165883496403694,
0.017369745299220085,
0.05465729907155037,
-0.0012588632525876164,
-0.03104340471327305,
-0.025107262656092644,
0.005343460012227297,
0.016053713858127594,
-0.05708402395248413,
0.028654014691710472,
0.035654179751873016,
0.04726512357592583,
-0.006136812269687653,
-0.03160341829061508,
-0.006458819843828678,
-0.03205142915248871,
0.008143526501953602,
-0.03339545801281929,
-0.022493867203593254,
-0.005436795763671398,
-0.03070739656686783,
0.011853614822030067,
-0.028523344546556473,
0.028822017833590508,
-0.05189456418156624,
-0.04244900867342949,
-0.01877911202609539,
-0.01803242787718773,
0.015549702569842339,
-0.00850753579288721,
-0.003063739510253072,
-0.034179478883743286,
-0.003101073671132326,
0.002998404437676072,
0.021971188485622406,
-0.008222862146794796,
0.000969523040112108,
-0.04565975069999695,
0.039611607789993286,
0.010817590169608593,
0.0615641288459301,
-0.05850272253155708,
-0.018396437168121338,
0.030334053561091423,
-0.022157859057188034,
-0.028336672112345695,
0.019152455031871796,
-0.06428952515125275,
-0.06231081485748291,
0.014775017276406288,
-0.024509916082024574,
0.01381366141140461,
-0.0576813705265522,
-0.010574918240308762,
0.0046831113286316395,
0.013346984051167965,
-0.004638776648789644,
0.02348322421312332,
0.03683020919561386,
-0.04218766838312149,
-0.010388246737420559,
-0.007200837600976229,
0.013122978620231152,
0.027421984821558,
-0.04259834438562393,
0.01546570099890232,
-0.004258434288203716,
-0.0014595346292480826,
0.002730064792558551,
0.0470784530043602,
0.04524907469749451,
0.03916359692811966,
0.06552155315876007,
0.039200931787490845,
0.037054214626550674,
0.02549927309155464,
0.020160479471087456,
-0.043419696390628815,
-0.029120691120624542,
0.04394237697124481,
-0.005562798585742712,
-0.05491863936185837,
0.048049140721559525,
-0.02863534726202488,
0.05861472710967064,
-0.01918978989124298,
-0.04592109099030495,
-0.006696825847029686,
-0.025107262656092644,
0.032088760286569595,
0.04136631637811661,
0.02824333682656288,
-0.023893900215625763,
-0.005208123475313187,
-0.06529755145311356,
0.015157693065702915,
-0.03212609514594078,
-0.00892287865281105,
-0.012600298970937729,
-0.004778780043125153,
0.018163098022341728,
0.004258434288203716,
0.0057541364803910255,
-0.0022797207348048687,
0.03867825120687485,
-0.08243396133184433,
-0.0065054879523813725,
-0.04580908641219139,
0.09393289685249329,
0.021560512483119965,
-0.052006568759679794,
0.03677420690655708,
0.00896487943828106,
0.01683773286640644,
-0.022923210635781288,
0.00018608775280881673,
0.05895073339343071,
0.04801180586218834,
0.004734445828944445,
-0.02374456450343132,
-0.0008248529047705233,
0.012964308261871338,
-0.016175050288438797,
0.0535372719168663,
0.007653515320271254,
-0.03024071827530861,
-0.02493925951421261,
-0.007494844496250153,
-0.014345673844218254,
-0.022587202489376068,
-0.0010331078665331006,
-0.10013037919998169,
-0.007154169958084822,
-0.04312102496623993,
0.0020953831262886524,
-0.013253647834062576,
-0.0768338218331337,
0.006976832170039415,
-0.03875292092561722,
-0.01174161210656166,
-0.014429676346480846,
0.013720326125621796,
-0.011965617537498474,
-0.02508859522640705,
-0.07601246982812881,
-0.023987235501408577,
0.02434191107749939,
0.020291147753596306,
-0.005488130263984203,
-0.04506240412592888,
0.04144098237156868,
0.043718371540308,
-0.03949960321187973,
-0.034776825457811356,
-0.006827495526522398,
0.006108811590820551,
0.0287100151181221,
-0.05854005739092827,
0.04323302581906319,
-0.0015027023619040847,
0.03949960321187973,
0.040283624082803726,
0.0032037426717579365,
-0.026787303388118744,
0.015559036284685135,
-0.043569035828113556,
-0.008176194503903389,
-0.013216313906013966,
0.030744729563593864,
0.013822995126247406,
0.021765850484371185,
0.023184550926089287,
-0.0011258600279688835,
-0.02413657307624817,
-0.02770199067890644,
0.02984870970249176,
0.06638024002313614,
0.017855091020464897,
-0.01709907315671444,
0.032331433147192,
-0.004834781400859356,
-0.025573940947651863,
-0.0068881637416779995,
-0.02488325722515583,
0.05129721760749817,
0.021112501621246338,
0.017519082874059677,
-0.03767022863030434,
-0.021485842764377594,
-0.0067201596684753895,
-0.01465368177741766,
0.02247519977390766,
0.05962274968624115,
0.02012314461171627,
-0.03147274628281593,
-0.06044410169124603,
0.020365817472338676,
0.012712301686406136,
-0.0032854112796485424,
-0.003985427785664797,
-0.009912235662341118,
0.028654014691710472,
-0.006659491453319788,
-0.016492391005158424,
-0.0066828252747654915,
0.031062070280313492,
0.0009753564954735339,
0.006785494275391102,
-0.02643262781202793,
0.025592608377337456,
-0.009552893228828907,
0.041142310947179794,
0.028336672112345695,
-0.03890225663781166,
0.08049257844686508,
-0.016548393294215202,
-0.01180694717913866,
0.05077454075217247,
-0.04412904754281044,
-0.03246210515499115,
0.016165716573596,
-0.002797733061015606,
0.065708227455616,
0.013113644905388355,
0.011358936317265034,
0.0031384078320115805,
-0.02012314461171627,
0.07369775325059891,
0.00732684088870883,
0.006860163062810898,
-0.01639905571937561,
-0.01657639443874359,
0.023035213351249695,
0.009492225013673306,
0.016697729006409645,
0.04976651445031166,
-0.01880711317062378,
-0.02648862823843956,
0.03546750918030739,
0.013841661624610424,
-0.027888663113117218,
-0.03132341057062149,
0.0025247265584766865,
-0.017239077016711235,
-0.018872447311878204,
-0.0791485458612442,
-0.009996237233281136,
0.02984870970249176,
0.002436057897284627,
0.0014327006647363305,
0.0014782018261030316,
-0.08206061273813248,
0.028747349977493286,
0.03727822005748749,
0.01707107201218605,
-0.0011731111444532871,
-0.009366222657263279,
-0.007144836243242025,
-0.00005873577174497768,
-0.017556417733430862,
0.016333721578121185,
0.05036386102437973,
-0.050737205892801285,
0.017192408442497253,
-0.03403014317154884,
-0.009996237233281136,
0.011078929528594017,
-0.05633733794093132,
0.015717705711722374,
-0.013701658695936203,
-0.025517938658595085,
0.03572884947061539,
-0.013561655767261982,
-0.02716064453125,
0.007032833527773619,
-0.01143360510468483,
-0.03938760235905647,
0.011228267103433609,
0.017472414299845695,
0.035168834030628204,
-0.02374456450343132,
-0.05189456418156624,
-0.015969712287187576,
0.014495010487735271,
0.02555527351796627,
-0.027608655393123627,
0.0016147049609571695,
-0.012721635401248932,
-0.004739112686365843,
0.01696840301156044,
-0.0026203955058008432,
-0.005553465336561203,
0.006127479020506144,
0.018116429448127747,
0.010416246950626373,
0.026880638673901558,
0.004372770432382822,
0.008474867790937424,
-0.028000665828585625,
-0.04901983216404915,
0.008143526501953602,
-0.004743779543787241,
0.04875849187374115,
0.01133093610405922,
-0.011480272747576237,
0.006174146663397551,
0.03231276571750641,
-0.0027580654714256525,
0.02643262781202793,
-0.010546917095780373,
-0.008675538934767246,
0.015923045575618744,
-0.018088430166244507,
0.001325364806689322,
-0.003626086050644517,
-0.021560512483119965,
-0.014607013203203678,
0.009520226158201694,
0.0012681967345997691,
-0.00913288351148367,
-0.027384649962186813,
0.009706897661089897,
0.019227122887969017,
0.048385150730609894,
-0.01287097204476595,
-0.027048641815781593,
-0.02066449075937271,
0.006388818379491568,
0.018331101164221764,
0.04364370182156563,
-0.008666206151247025,
0.015913711860775948,
-0.004769446793943644,
-0.008334864862263203,
0.06940431147813797,
0.0034067474771291018,
-0.023576559498906136,
0.021989855915308,
0.023296553641557693,
0.022120526060461998,
0.021859185770154,
0.003248077118769288,
0.012777636758983135,
0.002129217144101858,
-0.023259218782186508,
0.0346648246049881,
0.015008356422185898,
-0.03946227207779884,
-0.018153764307498932,
0.0017255409620702267,
-0.000557971594389528,
0.029811374843120575,
0.07545246183872223,
0.0426730141043663,
-0.01603504829108715,
0.041888993233442307,
-0.045099738985300064,
-0.0044311052188277245,
-0.005581466015428305,
-0.012544297613203526,
0.023184550926089287,
-0.03434748202562332,
0.015120359137654305,
0.0013066977262496948,
0.0027230647392570972,
-0.03587818518280983,
0.01622171886265278,
-0.012618966400623322,
-0.032760776579380035,
0.001472368254326284,
0.011564274318516254,
-0.025648608803749084,
0.00817152764648199,
0.01777108944952488,
-0.03225676715373993,
-0.02085116133093834,
-0.05600133165717125,
-0.035710182040929794,
0.0232778862118721,
0.01314164511859417,
0.014467010274529457,
0.03186475858092308,
-0.022456534206867218,
-0.023352554067969322,
0.02682463638484478,
-0.03768889605998993,
-0.033096786588430405,
-0.01679106615483761,
0.0021117168944329023,
0.008610204793512821,
0.07127102464437485,
-0.02669396810233593,
-0.0050261192955076694,
0.024323243647813797,
0.0044707730412483215,
0.013048309832811356,
0.009216886013746262,
0.009716230444610119,
-0.015559036284685135,
0.028075333684682846,
0.016819065436720848,
0.016725730150938034,
0.028747349977493286,
-0.0918421819806099,
0.025797946378588676,
0.05450795963406563,
0.023184550926089287,
0.017911091446876526,
0.00015750374586787075,
-0.023240551352500916,
-0.05103587731719017,
-0.01701507158577442,
-0.0023123882710933685,
-0.010164241306483746,
-0.03151008114218712,
-0.022643204778432846,
0.039611607789993286,
-0.03811823949217796,
-0.019525796175003052,
0.007984856143593788,
0.03561684489250183,
-0.011517606675624847,
0.0008802709053270519,
0.035448841750621796,
0.020944496616721153,
0.015736373141407967,
-0.007308173459023237,
0.010453581809997559,
0.03143541142344475,
0.013160312548279762,
-0.010126907378435135,
-0.019077787175774574,
0.01924579031765461,
0.013552322052419186,
0.043083690106868744,
-0.02829933911561966,
0.04957984387874603,
-0.006118145305663347,
0.026451295241713524,
-0.03218209743499756,
-0.0724283903837204,
0.0014688682276755571,
-0.017995094880461693,
0.026712633669376373,
-0.011582941748201847,
-0.0005177206476218998,
0.056300003081560135,
0.03567284718155861,
0.049393173307180405,
0.00946889165788889,
0.020029809325933456,
-0.006962832063436508,
-0.0016053714789450169,
0.012273624539375305,
0.04285968467593193,
-0.027515320107340813,
0.04300902038812637,
0.0318087562918663,
0.046705108135938644,
0.015139026567339897,
0.016557727009058,
0.03292878344655037,
0.00651948805898428,
0.016427056863904,
-0.07750584185123444,
0.008969546295702457,
0.04192632809281349,
-0.0010301910806447268,
-0.06563355773687363,
0.03580351546406746,
0.0074015092104673386,
0.017164407297968864,
-0.040544964373111725,
0.00003294088674010709,
0.015745706856250763,
0.005721469409763813,
-0.004634110257029533,
0.025368602946400642,
-0.039723608642816544,
0.00800352357327938,
0.015251029282808304,
0.009375556372106075,
-0.05286525562405586,
0.022960545495152473,
-0.010649586096405983,
-0.031416747719049454,
-0.04043295979499817,
0.010136241093277931,
-0.009515559300780296,
0.019675133749842644,
0.009282220155000687,
-0.02984870970249176,
-0.03688620775938034,
0.02165384776890278,
-0.006150812841951847,
0.01303897611796856,
0.02260586991906166,
-0.00875487457960844,
0.004984118510037661,
0.030128715559840202,
0.0029424033127725124,
-0.028878018260002136,
0.00882020965218544,
0.015577703714370728,
0.03199542686343193,
-0.036176860332489014,
0.016781732439994812,
-0.012572298757731915,
0.0016333721578121185,
0.036923542618751526,
-0.03382480517029762,
-0.010126907378435135,
-0.0007519345381297171,
-0.04928116872906685,
0.040544964373111725,
-0.025032594799995422,
0.026600630953907967,
0.06346817314624786,
-0.00318740913644433,
0.022176526486873627,
0.0063841515220701694,
-0.001789709203876555,
0.025256600230932236,
0.029531367123126984,
0.006440152879804373,
0.04334503039717674,
-0.018788445740938187,
-0.034160811454057693,
-0.06186280399560928,
-0.016184384003281593,
-0.019749801605939865,
-0.02206452377140522,
-0.03871558606624603,
0.037315551191568375,
0.002248220145702362,
0.02757132239639759,
0.027869995683431625,
0.03404880687594414,
0.0073175071738660336,
0.004701778292655945,
-0.05312659591436386,
0.036512866616249084,
0.016464391723275185,
0.026208622381091118,
-0.01792975887656212,
-0.006253481842577457,
-0.006393485236912966,
0.02863534726202488,
-0.019077787175774574,
0.012805637903511524,
0.03580351546406746,
-0.007480844389647245,
0.009884234517812729,
-0.041552986949682236,
-0.03460882231593132,
-0.035168834030628204,
0.04192632809281349,
0.057980041950941086,
-0.04808647558093071,
0.016511058434844017,
-0.017388412728905678,
0.005100787617266178,
0.000016114965546876192,
-0.02971803955733776,
-0.006365484558045864,
0.017061738297343254,
0.026992641389369965,
0.023725897073745728,
-0.006020143162459135,
-0.020235147327184677,
0.021635180339217186,
-0.01753775030374527,
-0.003182742279022932,
-0.06514821201562881,
-0.03897692635655403,
-0.03190208971500397,
-0.010798922739923,
0.042150333523750305,
-0.053089261054992676,
-0.02943803183734417,
0.02467791922390461,
-0.0023415556643158197,
-0.04144098237156868,
-0.009660229086875916,
-0.03399280831217766,
0.011489606462419033,
-0.02307254821062088,
-0.023389888927340508,
-0.03382480517029762,
-0.0065148212015628815,
-0.04076896980404854,
0.01368299126625061,
-0.013300315476953983,
-0.036176860332489014,
0.04368103668093681,
-0.018713777884840965,
0.005348126869648695,
-0.009566893801093102,
0.015055024065077305,
0.020888496190309525,
0.019693801179528236,
0.016847066581249237,
-0.058316051959991455,
-0.017733754590153694,
0.02206452377140522,
-0.03572884947061539,
0.01398166548460722,
-0.009585561230778694,
-0.029214026406407356,
-0.0006434319657273591,
-0.022456534206867218,
0.059585414826869965,
-0.011246933601796627,
0.010005570948123932,
-0.021205836907029152,
0.012357627041637897,
-0.026525963097810745,
0.023707229644060135,
0.01766842044889927,
-0.005796137731522322,
0.012152289040386677,
0.02951270155608654,
-0.04748912900686264,
-0.03360079973936081,
-0.021579179912805557,
-0.011312268674373627,
-0.018993783742189407,
0.003742755623534322,
0.004519774112850428,
-0.007438843138515949,
0.03834224492311478,
0.010565584525465965,
0.016352389007806778,
0.037315551191568375,
0.011676277033984661,
0.006771494168788195,
-0.017939092591404915,
-0.0362141951918602,
0.005726135801523924,
-0.05954807996749878,
-0.013570988550782204,
-0.0009671896114014089,
-0.012273624539375305,
-0.014803018420934677,
-0.03964894264936447,
0.05547865107655525,
0.0124789634719491,
0.03890225663781166,
-0.02816866897046566,
-0.008115526288747787,
-0.026581965386867523,
0.041478317230939865,
-0.015111025422811508,
0.004083430394530296,
-0.005506797228008509,
0.05708402395248413,
0.009977570734918118,
0.013757660053670406,
0.016147051006555557,
0.00040338459075428545,
0.007644181605428457,
0.00001988849362533074,
-0.028990020975470543,
-0.02434191107749939,
-0.03935026749968529,
0.006080810911953449,
0.00008597079431638122,
-0.06264682114124298,
0.009240219369530678,
-0.049393173307180405,
0.016641728579998016,
-0.010080239735543728,
0.04244900867342949,
-0.026731301099061966,
-0.013458986766636372,
-0.0175937507301569,
-0.0582040473818779,
0.016315054148435593,
0.04700378328561783,
-0.006276815664023161,
-0.01632438786327839,
0.004757779650390148,
-0.0400969535112381,
-0.00570280198007822,
0.013990999199450016,
-0.012656300328671932,
-0.009384889155626297,
-0.023091215640306473,
-0.01647372543811798,
0.04831048101186752,
0.008479534648358822,
0.004557108040899038,
0.05454529449343681,
0.009557560086250305,
-0.04763846471905708,
0.029008688405156136,
-0.03251810744404793,
0.020440485328435898,
0.023520559072494507,
-0.03675553947687149,
-0.00858687050640583,
0.05887606367468834,
-0.06555888801813126,
-0.010630919598042965,
-0.0034114143345505,
-0.007555512711405754,
0.017481748014688492,
-0.04961717873811722,
0.06716426461935043,
-0.05447062849998474
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.