Ozizi kernel nke akwara akwara
Neural Tangent Kernel (NTK) bụ ngwa mgbakọ na mwepụ na-egosi na netwọkụ akwara na-enweghị ngwụcha na-akpa àgwà dị ka usoro kernel akọwapụtara n'oge ọzụzụ.
Nchịkọta
It matters because it turns mysterious deep learning into something with closed-form, analyzable equations.
Ime miri emi
Nke Jacot, Gabriel na Hongler webatara na 2018, NTK tiori na-amụ ihe na-eme dị ka ọkwa netwọkụ na-abawanye oke oke. N'ime oke ahụ, ọzụzụ na mgbada gradient na-akwụsị ịbụ njem na-adịghị ahụkebe: usoro netwọkụ na-esiwanye ike na mmalite mmalite ha (usoro 'ọzụzụ ume ume'), na ọrụ ọ na-agbakọ na-amalite n'usoro, nke kernel na-adịgide adịgide n'oge ọzụzụ. Mkpụrụ ahụ - ngwaahịa dị n'ime nke gradients n'ihe gbasara paramita - bụ NTK. N'ihi na nlọghachi azụ kernel nwere azịza ziri ezi, ị nwere ike ịkọ mmepụta netwọk zụrụ azụ na-azụghị ya n'ezie. NTK kọwara ihe kpatara na netwọkụ karịrị akarị nwere ike dabara data ma ka na-achịkọta ya, ọ na-ejikọ mmụta miri emi ruo ọtụtụ iri afọ nke ụzọ kernel ghọtara nke ọma na usoro Gaussian.
Nghọta nka nka
A kọwapụtara NTK dị ka ngwaahịa dị n'ime nke vector gradient netwọk maka ntinye abụọ: K(x, x') = ⟨∇θ f(x), ∇θ f(x')⟩. N'ime oke obosara na-enweghị ngwụcha kernel a na-agbakọta na uru ekpebisi ike na mbido ma na-edobe ya n'oge mgbada gradient, yabụ ọzụzụ na-ebelata na nlọghachi kernel. Netwọk sara mbara na-ebugharị ntakịrị kwa oke, nke bụ kpọmkwem ihe mere linearization ji jide.
Mmetụta atụmatụ
Mkpebi doro anya
Ọ na-enyere gị aka ikewapụta nkwupụta ọrụ aka doro anya na asụsụ ahịa.
Ọnụ ego na mmefu ego
Ị nwere ike ịjụ ajụjụ mmejuputa iwu ka mma tupu itinye ego ma ọ bụ oge.
Team na usoro ọrụ
Ndị otu nwere nghọta na-eme ka ngwaahịa, amụma na mkpebi mmụta ka mma.
Ọdịnihu nke Ozizi Kernel Tangent Neural
NTK bụ ọkpụkpụ azụ nke echiche mmụta miri emi nke ọgbara ọhụrụ, mana ezigbo netwọkụ nwere oke na-amụta atụmatụ - ihe foto kernel edobere na-atụfu. Nnyocha na-elekwasị anya ugbu a na oghere dị n'etiti omume NTK 'ume umengwụ' na usoro mmụta 'ọgaranya', yana iji NTK buru amụma arụmọrụ ụlọ, na-eduzi nyocha ihe owuwu akwara, yana n'ozuzu oke. Na-atụ anya echiche ngwakọ na-ejide mgbe netwọk na-akpa àgwà dị ka kernel na mgbe ha mụtara n'ezie ihe nnọchianya.
Mmejuputa n'ezie n'ụwa
Na-ebu amụma usoro ọzụzụ netwọọk sara mbara nke ọma iji họrọ ọnụego mmụta na-enweghị ule dị oke ọnụ
Iji metrik dabere na NTK iji wepụta ụlọ ndị ndoro-ndoro ochichi ọnụ ala n'oge nchọ ihe owuwu akwara
N'ịkọwa usoro ihe kpatara netwọkụ overparameterized na-agbakọta na ọnwụ ọzụzụ efu ma ka na-agbakọta
Ịmepụta mkpokọta kernel (usoro Gaussian sitere n'ike mmụọ nsọ NTK) maka ọrụ nwere obere data ebe atụmatụ ejighị n'aka dị mkpa.
Ihe ize ndụ & okporo ụzọ nche
Otu dị iche iche nwere ike iji otu okwu ahụ mee ihe n'ụzọ dị iche, yabụ kọwapụta oge n'oge.
Ihe nrịbama nwere ike ịdị ike ebe arụmọrụ ụwa na-adaghị adaba.
Ileghara ogo data na atụmatụ nyocha anya na-emepụtakarị nsonaazụ na-adịghị mma.
Map mmejuputa
Malite na nkọwa asụsụ dị larịị nke nsonaazụ ịchọrọ.
Họrọ otu metrik ịga nke ọma na otu ọnọdụ ọdịda tupu nnwale.
Gbaa obere onye na-anya ụgbọ elu nwere data nnọchite anya, ọ bụghị ihe ngosi ngosi na-egbu maramara.
Detuo ebe Neural Tangent Kernel Theory na-enyere aka yana ebe ụzọ dị mfe ka mma.
Nọgide na-eme nchọpụta
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Ntuziaka na-esote
Iwu mkpali maka netwọkụ akwara ozi
Ajụjụ a na-ajụkarị
What is Neural Tangent Kernel Theory?
Neural Tangent Kernel (NTK) bụ ngwa mgbakọ na mwepụ na-egosi na netwọkụ akwara na-enweghị ngwụcha na-akpa àgwà dị ka usoro kernel akọwapụtara n'oge ọzụzụ. Ọ dị mkpa n'ihi na ọ na-atụgharị mmụta miri emi dị omimi ka ọ bụrụ ihe nwere usoro mechiri emechi, nke enwere ike nyocha.
Na njedebe na-enweghị ngwụcha, kedu ka Neural Tangent Kernel si eme n'oge ọzụzụ?
Nsonaazụ NTK dị n'etiti bụ na n'ime oke obosara na-enweghị ngwụcha, kernel na-agbakọta na uru edobere ma na-anọgide na-adịgide adịgide n'oge ọzụzụ mgbada gradient.
Kedu ihe bụ mgbakọ na mwepụ NTK?
NTK bụ K(x,x') = ⟨∇θ f(x), ∇θ f(x')⟩, ngwaahịa dị n'ime nke gradients nke mmepụta n'ihe gbasara paramita.
Onye webatara Neural Tangent Kernel?
Ewebatara NTK na akwụkwọ 2018 nke Arthur Jacot, Franck Gabriel na Clément Hongler.
Kedu ihe bụ usoro 'ọzụzụ ume-ume'?
N'ọzụzụ ume ume, parampat netwọk obosara na-anọ nso ụkpụrụ mbụ ha na mmepụta na-apụta n'usoro, nke bụ ihe na-eme ka nyocha nke kernel dị irè.
N'ihi na NTK na-ebelata ọzụzụ na kernel regression, gịnị ga-ekwe omume?
Nkwụghachi azụ kernel nwere azịza ụdị emechiri emechi, yabụ na oke NTK mmadụ nwere ike jiri nyocha buru amụma nsonaazụ netwọkụ zụrụ azụ.