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Ikigereranyo cya MAP na Priors

Ikigereranyo ntarengwa cya posteriori (MAP) gihitamo ibipimo byagaciro hamwe nubucucike bwimbere bwimbere kubintu bikomeza, cyangwa misa yinyuma kubintu bitandukanijwe nyuma yo guhuza amakuru bishoboka hamwe nogukwirakwiza mbere.

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  1. Incamake
  2. Kwibira cyane
  3. Ingaruka z'Ingamba
  4. Kazoza ka MAP Kugereranya na Priors
  5. Gushyira mu bikorwa Isi
  6. Ingaruka & Kurinda
  7. Igishushanyo mbonera
  8. Komeza Ubushakashatsi
  9. Ibibazo bikunze kubazwa

Incamake

Bitandukanye nibigereranyo bishoboka, MAP irashobora gushimangira indangagaciro zishyigikiwe nubumenyi bwambere, kandi ibihano bisanzwe bisanzwe bihuye nibitekerezo byabanjirije.

Kwibira cyane

Umwanzuro wa Bayesian uhuza ibishoboka, bisobanura uburyo bishoboka ko amakuru yakurikiranwe ari munsi yindangagaciro, hamwe nogukwirakwiza mbere yerekana amakuru cyangwa ibitekerezo mbere yo kubona ayo makuru. Amategeko ya Bayes atanga gukwirakwiza inyuma ugereranije nibihe byabanjirije. Ikigereranyo ntarengwa cyo kugereranya (MLE) gihitamo ibipimo byerekana amahirwe menshi. Ikigereranyo ntarengwa cya posteriori (MAP) ihitamo agaciro kerekana ubwinshi bwinyuma. Gufata logarithms ihindura ibicuruzwa mumafaranga: log posterior ihwanye nibishoboka log wongeyeho log mbere wongeyeho ibisanzwe bihoraho bidashingiye kubipimo. Kugwiza inyuma rero bihwanye no kugwiza ibiti bishoboka wongeyeho ibiti mbere. Niba ibyibanze byibanze kuri zeru na Gaussian, ubwinshi bwibiti byayo bitanga ijambo ribi ugereranije nuburinganire bwa coefficient. Kugwiza inyuma inyuma bihuye no kugabanya igihombo gishingiye ku gipimo wongeyeho L2. Laplace ibanza gutanga umusanzu-wuzuye, itanga igihano cya L1. Kuringaniza neza biterwa nuburyo bishoboka, umunzani wambere hamwe nintego byerekanwe. Muri hypothetical small-data regression, MLE irashobora guhuza coefficient ya 8 kuko kwitegereza bike nibyo bigereranya. Zeru yibanze mbere irashobora gukurura igereranyo cya MAP kuri zeru. Ibi ntabwo ari ugukosora uko bishakiye: byerekana icyifuzo cya coefficient nto. Niba ibyo bibanziriza bidakwiye, ikigereranyo cya MAP kirashobora kubogama mubyerekezo bibi. Tanga ibitekerezo hanyuma ugerageze uburyo imyanzuro ihinduka muburyo bushoboka. MAP isubiza ingingo igereranya, ntabwo yuzuye ikwirakwizwa ryinyuma. Irashobora kuba ingirakamaro mugutezimbere no guhanura bisanzwe, ariko ntabwo ivuga muri make ukutamenya neza uko intera ikurikira cyangwa ingero zikora. Uburyo bwinyuma bushobora nanone guterwa na parameterisation kuko ubucucike buhinduka hamwe na sisitemu yo guhuza ibikorwa. Tandukanya uburyo bwubucucike bwuburyo bwa parameter agaciro hamwe nibishoboka byinshi byahujwe. Mugihe ibyemezo biterwa no gushidikanya, genzura inyuma aho kwerekana MAP yonyine nkisesengura ryuzuye rya Bayesian.

Ingaruka z'Ingamba

Igiciro na bije

Ibyemezo byubwubatsi bitwara imikorere nigiciro cyimikorere kumyaka.

Ibyemezo bisobanutse

Ubuhanga bwa tekinike bufasha amakipe guhitamo umurongo ukwiye, ntabwo ari shyashya gusa.

Kugenzura ubuziranenge

Guhitamo neza bya injeniyeri bigabanya ibintu byizewe mubikorwa.

Kazoza ka MAP Kugereranya na Priors

MAP ikora neza irashobora kuba mucyo mugihe raporo yicyitegererezo ihuza buri gihano nigitekerezo kibanziriza iki kandi ikerekana sensibilité ku mbaraga zifatika. Amakipe agomba gutandukanya uruhare rwibanze muguhuza ibigereranyo bivuga ko ibyambere ari ukuri. Kubyemezo bifite ingaruka zidasanzwe cyangwa kutamenya neza, incamake yuzuye irashobora kuba ingirakamaro kuruta uburyo bumwe. Isubiramo ry'icyitegererezo rishobora kwandika ibipimo byabanjirije, ibishoboka na parameterisation, hanyuma ukagerageza niba ibyifuzo bihinduka mubindi bisobanuro. Imigaragarire myiza igomba gutuma ibyo bitekerezo bigaragara bitagaragaye nkibisanzwe byihishe.

Gushyira mu bikorwa Isi

Moderi ya hypothettike ikoresha zeru ishingiye kuri zeru mbere ya coefficient zayo. Uburyo bwinyuma bugabanya coefficient nini kuri zeru, bihuye na L2 yuburyo bwa penalti bitewe nibishoboka hamwe nibitekerezo bitandukanye.

Icyitegererezo gike gikoresha Laplace mbere kuri coefficient. Log log yambere itanga igihano-cyagaciro rwose, gihuza igereranyo cya MAP na L1 isanzwe.

Umusesenguzi wizewe afite ibyo yitegereza kubitsinda rimwe kandi akoresha ibanze yibanze ku gipimo cyemewe. Ikigereranyo cya MAP igereranya iringaniza bishoboka kandi byabanje; abasesenguzi bagomba kwerekana ibyabanje no kugenzura ibyiyumvo.

Umushakashatsi agereranya ikigereranyo cya MAP hamwe nikigereranyo kinini gishoboka munsi yintege nke mbere. Niba ibisubizo bitandukanye cyane, amakuru arashobora kuba make cyangwa mbere yambere akomeye, ashishikaza kugenzura ibyiyumvo byoroshye.

Ingaruka & Kurinda

  • Gutezimbere igipimo kimwe gishobora guhisha intege nke za sisitemu.

  • Ibikorwa Remezo no kubungabunga akenshi usanga bidahabwa agaciro.

  • Icyuho cyumutekano no kwitegereza birashobora kwiyongera uko sisitemu igenda igorana.

Igishushanyo mbonera

  1. Sobanura ubukererwe, ubuziranenge, nigiciro cyibiciro mbere yo kubishyira mubikorwa.

  2. Ibipimo byerekana umutwaro ufatika hamwe namakuru yimiterere.

  3. Gukurikirana ibikoresho kubikosa, drift, ningaruka zabakoresha.

  4. Tegura inzira yo gusubiza ibyabaye mbere yo gupima.

Komeza Ubushakashatsi

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Ibibazo bikunze kubazwa

Ikigereranyo cya MAP na Priors ni iki?

Ikigereranyo ntarengwa cya posteriori (MAP) gihitamo ibipimo byagaciro hamwe nubucucike bwimbere bwimbere kubintu bikomeza, cyangwa misa yinyuma kubintu bitandukanijwe nyuma yo guhuza amakuru bishoboka hamwe nogukwirakwiza mbere. Bitandukanye nibigereranyo bishoboka, MAP irashobora gushimangira indangagaciro zishyigikiwe nubumenyi bwambere, kandi ibihano bisanzwe bisanzwe bihuye nibitekerezo byabanjirije.

Ni ubuhe bwoko MAP ikoresha cyane?

MAP ihitamo ibipimo byagaciro byerekana ubwinshi bwinyuma, ugereranije nibihe byabanjirije.

Niki MLE yerekana cyane ugereranije na MAP?

MLE yerekana amakuru menshi atongeyeho ijambo ryambere.

Nibihe bisanzwe mubisanzwe bitanga L2 yuburyo bwa coefficient muri MAP?

Ubucucike bubi bwa zeru bushingiye kuri zeru-Gaussian buragereranijwe nubunini bwa coefficient.

Nibihe bisanzwe mubisanzwe bitanga igihano cya L1?

Laplace yabanje kwangirika kwingingo zingana nuburinganire bwuzuye bwa coefficient.

Kuki MAP ishobora gutandukana na MLE hamwe namakuru make?

MAP iringaniza amahirwe na mbere, bityo ibyambere birashobora guhindura igereranya cyane cyane mugihe ibimenyetso ari bike.