marjin classifier

mesheen laningle, oro udaaharanathinum theerumaana athirthiyil ninnu bandhapetta dooram nalkaan kazhiyunna oru vargeekaranamaanu marjin classifier. udaaharanathinu, oru leanier classifier aanenkil (udha.jii. perseptron allengil leanier discriminant analysis) upayogikkunnu, verthirikkunna hyperplainil ninnulla oru udaaharanathinte dooram (saadhaaranayaayi euclidean dooram, mattullava upayogichekkaamenkilum) aaa udaaharanathinte marjin aanu.
niravadhi mesheen laining classification algorithangalil marjin enna ashayam pradhaanamaan, kaaranam ithu classifierinte saamaanyavalkkarana pishak bandhippikkaan upayogikkaam. eee athirukal palappozhum vii. sii. alavu upayogichu kaanikkunnu. boosting algorithangalilum support vekttar mesheenukalilum ulla saamaanyavalkkarana pishak prathyeka praadhaanyamullathaanu.
maarjinte vekttar mesheen nirvachanathe pinthunaykkuka.
vishadaamshangalkku support vekttar mesheenukalum maximum-marjin hyperplayin kaanuka.
algorithangal vardhippikkunnathinulla marjin.
rund klaasukalulla oru koottam udaaharanagal nalkiyaal oru aavarthana boosting algorithathinte marjin inipparayunna reethiyil nirvachikkaam. classifierinu oru udaaharana jody formula _ 1 nalkiyittundu, avide formula _ 2 oru domaine space formula _ 3 udaaharanathinte labelumaanu. aavarthana boosting algoritam thudarnnu oro aavarthana formula oru classifier formula thiranjedukkunnu, avide formula 6 yadhaartha moolyangal pravachikkunna saadhyamaaya classifierukalude oru idamaanu. boosting algoritam thiranjeduttha formula _ 7 eee sidhaanthathe thudarnnu veytt cheiyunnu. aavarthana soothravaakyam _ 8 ll, oru udaaharana soothravaakyam _ 9-nte marjin ingane nirvachikkaam
eee nirvachanamanusarichu, udaaharanam shariyaayi label cheythittundenkil marjin positteev aayirikkum, udaaharanam thettayi label cheythittundenkil negatteevu aayirikkum.
eee nirvachanam parishkkarikkappettekkam, mathramalla algorithangal vardhippikkunnathinulla marjin nirvachikkanulla eaka maarggam ithalla. ennirunnaalum, eee nirvachanam aakarshakamaayirikkaanulla kaaranangalund.
marjin adhishtitha algorithangalude udaaharanagal.
pala vargeekaranangalkkum oro udaaharanathinum anubandha marjin nalkaan kazhiyum. ennirunnaalum, chila vargeekaranangal maathrame oru dattaa settil ninnu padikkumbol marjin vivarangal upayogikkukayulloo.
pala boosting algorithangalum udaaharanangalkk bharam nalkunnathinu oru marjin enna ashayathe aasrayikkunnu. oru convex nashtam upayogikkukayaanenkil (adaboost, logitboost, eathenkilum boost kudumbatthile ellah amgangal) uyarnna maarjinulla oru udaaharanathinu kuranja maarjinulla oru udaaharanathekkaal kuranja (allengil thulya) bharam labikkum. ithu kuranja marjin udaaharanangalil bharam kendreekarikkunnathinulla boosting algoritam nayikkunnu. nonkonveks algorithangalil (udha.jii. brounboost), marjin ippozhum oru udaaharanathinte bharam nirnnayikkunnu, ennirunnaalum maarjinumaayi bandhappett waiting monodon allah. orupakshe minimum marjin paramavadhi vardhippikkunna boosting algorithangal nilavilundu (udha.jii. nokkoo).
support vekttar mesheenukal orupakshe verthirikkunna hyperplaininte marjin paramavadhi vardhippikkum. shabdamundaakkunna daatta upayogichu pariseelanam labhicha support vekttar mesheenukal (thannirikkunna sthalathu daattayude thikanja verthiriv nilavililla) sophtt marjin paramavadhi vardhippikkunnu. ithinekkurichulla kooduthal charchakal support vekttar mesheen lekhanathil kaanam.
classic perseptron algorithathinte aavarthana prayogatthe adisthaanamaakkiyulla marjin maximising algorithamaanu vottu-perseptron algoritam.
saamaanyavalkkarana pishak paridhikal.
marjin classifierukalkku pinnile oru saidhaanthika prachodanam avayude saamaanyavalkkarana pishak algorithathinte paaraamettarukalum marjin tames kondu bandhikkappettirikkam ennathaanu. atharamoru bandhatthinte oru udaaharanam adaboost algoritam aanu. formula _ 11 oru vitharana formula _ 13 ll ninnu kramarahithamayi sample cheytha formula _ 12 udaaharanangalude oru koottamaayirikkatte. adisthaana classifierinte vc-dimension formula _ 14 umm formula _ 15 umm aanennu karuthuka. thudarnnu probability formula _ 16 upayogichu namukk boundu undu.
ellah formulakalkkum _ 18.

