Nbulite n'usoro nke abụọ na ụzọ Newton
Nkwalite n'usoro nke abụọ na-eji ozi curvature (matrix Hessian nke usoro nke abụọ) iji mee usoro dị mma karịa opekempe, ọ bụghị naanị mkpọda.
Nchịkọta
It can converge in dramatically fewer iterations than plain gradient descent, but the cost of computing curvature makes it tricky to scale.
Ime miri emi
Mmụba gradient maara naanị mkpọda n'ebe ị nọ ugbu a, ya mere ọ na-ahọrọ nha nke edoziri ma ọ bụ aka emechiri emechi ma na-atụ anya ihe kacha mma. Usoro Newton na-aga n'ihu: ọ na-elekwa anya ka mkpọda na-agbanwe (curvature), nke Hessian weghaara, matrix nke ihe nrụpụta akụkụ abụọ nke abụọ. Mmelite a na-amụba Hessian ntụgharị site na gradient, nke na-eweghachi ntụzịaka ọ bụla na-akpaghị aka wee rute opekempe nke mkpokọta quadratic mpaghara. Maka nnukwu efere quadratic zuru oke, usoro Newton na-erute ala n'otu nzọụkwụ. Ọkụ ahụ dị obi ọjọọ: ihe nlereanya nwere N paramita nwere N-by-N Hessian, yabụ ịchekwa na ịtụgharị ya na-efu ihe nchekwa N-squared na N-cubed compute. Maka netwọk ijeri-parameter nke na-agaghị ekwe omume, ọ bụ ya mere ndị ọkachamara ji eji ọnụ ala dị ọnụ ala.
Nghọta nka nka
Isi mmelite Newton bụ x_new = x - H_inverse ugboro gradient, ebe H bụ Hessian. Ụzọ Quasi-Newton dị ka BFGS na L-BFGS na-ezere ịgbakọ H ozugbo site n'ịmepụta ihe na-agba ọsọ nke ntụgharị ya site na ọdịiche gradient na-esote. L-BFGS na-echekwa naanị gradient ole na ole ikpeazụ na vectors nke ikpeazụ kama matriks zuru ezu, na-ebelata ebe nchekwa site na N-squared gaa na obere ọnụọgụ N ka ọ na-edobe ọtụtụ n'ime ngwa ngwa ngwa ngwa.
Mmetụta atụmatụ
Ọnụ ego na mmefu ego
Mkpebi ihe owuwu ụlọ na-akwalite arụmọrụ yana ọnụ ahịa ọrụ ruo ọtụtụ afọ.
Mkpebi doro anya
Nkà mmụta nka na-enyere ndị otu egwuregwu aka ịhọrọ nchịkọta ziri ezi, ọ bụghị naanị nke kachasị ọhụrụ.
Quality akara
Nhọrọ injinia ka mma na-ebelata ihe omume ntụkwasị obi na mmepụta.
Ọdịnihu nke nkwalite usoro nke abụọ yana ụzọ Newton
Maka nnukwu netwọkụ akwara ozi, ụzọ zuru oke nke abụọ agaghị adị irè, mana nso nso a na-enweta ala. Ndị na-ebuli elu dị ka K-FAC na Shampoo nso curvature na-eji ngọngọ-diagonal ma ọ bụ usoro Kronecker, yana ụzọ ọhụrụ dị ka Sophia na Muon na-eji atụmatụ curvature dị ọnụ ala na-eme ngwa ngwa n'ịzụ ụdị asụsụ buru ibu. Na-atụ anya mgbalị na-aga n'ihu iji weghara akara mgbanaka bara uru na ọnụ ahịa nke mbụ, na-ebelata oghere dị n'etiti Adam na ezi nzọụkwụ Newton.
Mmejuputa n'ezie n'ụwa
L-BFGS dabara adaba mgbagha mgbagha na ụdị convex ndị ọzọ na scikit-mụta, ebe ọ na-akụkarị mgbada gradient dị larịị na obere datasets.
Mgbanwe ngwugwu na nwughari 3D na SLAM, ebe Gauss-Newton na Levenberg-Marquardt na-emezi igwefoto n'ihu na ọnọdụ atụ.
Ọzụzụ obere netwọkụ akwara ozi gbasara physics ebe L-BFGS nwetara nkenke nke Adam na-agbasi mbọ ike iru.
Shampoo na K-FAC na-emewanye ọzụzụ mmụta miri emi dị ukwuu site na ime ihe owuwu Hessian.
Ihe ize ndụ & okporo ụzọ nche
Ịkwalite otu akara ngosi nwere ike zoo adịghị ike sistemụ sara mbara.
A na-eledakarị ihe akụrụngwa na ụgwọ ọrụ anya.
Ọdịiche nchekwa na nleba anya nwere ike itolite ka sistemu na-adịwanye mgbagwoju anya.
Map mmejuputa
Kọwaa latency, ịdịmma na ebumnuche ọnụ ahịa tupu mmejuputa ya.
Benchmark n'okpuru ibu dị adị na ọnọdụ data.
Nleba anya akụrụngwa maka mperi, ịkpafu na mmetụta onye ọrụ.
Kwadebe ụzọ nzaghachi azụghachi azụ na ihe omume tupu ịchachaa.
Nọgide na-eme nchọpụta
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Ntuziaka na-esote
Nkwalite amụma ikwu otu
Ajụjụ a na-ajụkarị
What is Second-Order Optimization and Newton Methods?
Nkwalite n'usoro nke abụọ na-eji ozi curvature (matrix Hessian nke usoro nke abụọ) iji mee usoro dị mma karịa opekempe, ọ bụghị naanị mkpọda. Ọ nwere ike ịgbakọta n'ikiri n'ike n'ike karịa mgbada gradient dị larịị, mana ọnụ ahịa mgbako kọmpụta na-eme ka ọ dị aghụghọ.
Kedu ozi usoro Newton na-eji na mgbada gradient dị larịị adịghị?
Usoro Newton na-eme ka gradient dị elu site na Hessian, na-ahapụ ya ka ọ gbanwee ntụzịaka wee gbakọọ opekempe quadratic mpaghara.
Maka ebumnuche zuru oke quadratic, nzọụkwụ ole ka usoro Newton kwesịrị iru kacha nta?
N'otu akụkụ quadratic kpọmkwem, ụdị quadratic nke mpaghara na-arụ ọrụ nke ọma, yabụ otu nzọụkwụ Newton na-awụlikwa elu na nke kacha nta.
Kedu ihe kpatara usoro Newton zuru ezu na-abaghị uru maka netwọkụ akwara ozi ijeri-parameter?
Site na N paramita, Hessian nwere ntinye N-squared ma tụgharịa ya dịka N-cubed, nke enweghị ike ime ya na ijeri paramita.
Kedu ihe ụzọ quasi-Newton dị ka BFGS na-eme iji zere ọnụ ahịa Hessian?
BFGS na-eji nwayọ na-emelite atụmatụ mgbanwe nke Hessian na-eji mgbanwe na gradient n'etiti usoro, na-ezere ịgbakọ ozugbo.
Kedu ka L-BFGS si ebelata ebe nchekwa ma e jiri ya tụnyere BFGS?
'L' na-anọchi anya obere ebe nchekwa: L-BFGS na-edobe naanị ole na ole nke vectors na-adịbeghị anya, na-ebelata nchekwa site na N-squared ka ọ bụrụ obere ọnụọgụ N.