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Teori kernel tangent neuronal
Neural Tangent Kernel (NTK) jumtukaayu math la buy wane ni reso neuronal yu yaatu te amul àpp dañuy doxalee ni kernel bu amul àpp ci diiru tàggat yaram.
Déglul tegtal biiIA-nettali · ~2 min
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Résumé
It matters because it turns mysterious deep learning into something with closed-form, analyzable equations.
Plongeur bu xóot
Jacot, Gabriel, ak Hongler ñoo ko njëkka dugal ci 2018, teori NTK dafay jàngat liy xew su reso bi yaatu ba jéggi dayo. Ci yam, tàggat ak wàccinu gradient dafay bàyyi nekk tukki bu amul benn ligneer: parametru reso bi daanaka duñu joge ci seen initialisation random (régime 'tàggat bu tayeel'), te fonction bi muy calculer dafay jëm kanam lineairement, di doxal ci kernel buy wéy di nekk ci diiru tàggat bi yépp. Kernel boobu - produit bi ci biir gradient yi ci wàllu parametre yi - mooy NTK. Ndax kernel regression amna ay pexe yu leer, mën nga wax luy génn ci reso biñ tàggat te doo ko tàggat. NTK dafa leeral li waral reso yu bari ay parametre mën nañu ànd ak ay done waaye ba leegi dañuy yamale, ba noppi lëkkale njàng mu xóot ak fukki at ci pexe kernel yuñ xam bu baax ak liggéey Gaussian.
Doxal ci àdduna dëgg
Xalaatal dinaamiku taggat ci reso bu yaatu ci anamu analitik ngir tann tolluwaayu njàng mi te doo def ay test yu seer
Jëfandikoo ay jagleel yu lalu ci NTK ngir tànnal arsitektir yi ci anam wu yomb ci seetug arsitektir neuronal
Faram-fàcce ci theorie li waral reso yu bari ay parametre di jëm ci ñàkka tàggat yaram ba noppi di yamale
Nafar ay jegewaale kernel (process Gaussian yu NTK inspiré) ngir liggéey yu am done yu ndaw fu xayma yu wóorul dara am solo
Ëlëgu Teori Kernel Tangent Neural
NTK mooy yax gi gëna bari ci theorie deep-learning moderne, waaye reso yu am àpp yi dañuy jàng ay man-man - muy lu nataalu kernel fixe bi ñàkk. Gëstu yi leegi dañu sëgg ci bërëb bi am ci digganté jikko NTK 'tayeel' ak regime jàng-jàngum 'am xaalis', ak ci jëfandikoo NTK ngir seetlu architecture, tegtal seetlu architecture neural, ak generalisation buñ tënk. Xaarandi theorie hybrid yiy jàpp su reso yi di doxalee ni kernels ak suñu jàngee représentation yi ci dëgg.
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What is Neural Tangent Kernel Theory?
Neural Tangent Kernel (NTK) jumtukaayu math la buy wane ni reso neuronal yu yaatu te amul àpp dañuy doxalee ni kernel bu amul àpp ci diiru tàggat yaram. Dafa am solo ndax dafay soppi njàng mu xóot mi nekk lu am jëmm ju tëju, equation yuñ mëna jàngat.
Ci yaatuwaayu yaatuwaayu amul àpp, naka la Kernel Tangent Neural di doxalee ci diiru tàggat yaram?
Benn resultaawu NTK bu mag mooy ni ci yaatuwaayu yaatuwaayu amul àpp kernel bi dafay jëm ci benn valeur bu takku te du soppeeku ci diiru tàggat yaram wi di wàcci gradient bi.
Luy NTK ci wàllu math?
NTK mooy K(x,x') = ⟨∇θ f(x), ∇θ f(x')⟩, produit bi ci biir bu gradient yi ci génne gi ci wàllu parametre yi.
Kan moo dugal kernel tangent neuronal bi?
Dugal nañu NTK ci benn téere ci atum 2018, ki ko bind mooy Arthur Jacot, Franck Gabriel, ak Clément Hongler.
Luy regime 'tàggat tayeel'?
Ci tàggat yaram, parametru reso bu yaatu bi dafay des ci seen valeur yu njëkk ba noppi génne gi dafay jëm kanam ci anam wu ligneer, loolu mooy tax jàngat kernel fixe bi baax.
Ndax NTK dafa wàññi tàggat ci kernel regression, lan mooy mëna am?
Regression kernel amna ay pexe yu tëju, kon ci yam NTK mën nañu seetlu ci analyse li reso bi tàggat génne.
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