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Ubundi ubusumbane bwa Markov

Ubundi ubusumbane bwa Markov Iri sesengura ryuzuye ryibindi bitanga isuzuma rirambuye ryibice byingenzi hamwe ningaruka nini. Ibice by'ingenzi byibandwaho Ibiganiro byibanda kuri: Uburyo bukuru ...

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Ubusumbane bwabandi ba Markov: Ibyo abayobozi mubucuruzi bakeneye kumenya

Ubusumbane bwa Markov nubundi ni imibare ikomeye ihuza imibare ikomoka kuri polinomial, yemejwe na Andrei Markov mu 1889, kandi iratandukanye rwose n’ubusumbane bushingiye ku busumbane bwa Markov abanyamwuga benshi bahura n’amasomo y’ibarurishamibare. Gusobanukirwa nubusumbane butazwi cyane bugaragaza ubushishozi bwukuntu uburyo bwimikorere myinshi ishobora guhinduka, igitekerezo gifite ingaruka zitaziguye zo guhanura, gutezimbere, no gufata ibyemezo bishingiye kumasoko imbere nka Mewayz .

Ubusumbane bwa Markov ni ubuhe?

Abahanga benshi mubyamakuru bazi ubusumbane bwa Markov uhereye kubitekerezo bishoboka: niba X ari impinduka idahwitse, noneho P (X ≥ a) ≤ E [X] / a. Irahuza uburyo impinduka zishobora kurenga urwego. Byoroshye, byiza, kandi byigishijwe cyane.

Ubusumbane bwa ubundi Markov abaho mubitekerezo bigereranijwe. Ivuga ko niba p (x) ari polinomial ya dogere n na | p (x) | ≤ 1 ku ntera [-1, 1], hanyuma ibikomokaho birahaza | p '(x) | ≤ n² kuri intera imwe. Mu mvugo yoroshye, niba uzi ko polinomial igumaho imipaka, igipimo cyayo cyimpinduka ntigishobora kurenga imipaka yagenwe nimpamyabumenyi ya polinomial.

Iki gisubizo cyaje kongerwa na murumuna wa Andrei, Vladimir Markov, kugira ngo gikurikirane ibikomoka ku rwego rwo hejuru, bituma icyo abahanga mu mibare bita ubusumbane bwa barumuna ba Markov. Kwagura byerekana ko k-th ikomoka kuri polinomial ntarengwa ya dogere n ubwayo ihujwe nijambo ribarwa ririmo n na k.

Kuki abashoramari bagomba kwita kumipaka myinshi?

Urebye, theorem yo mu kinyejana cya 19 yerekeye polinomial isa nkaho idahuye no gukora ubucuruzi bugezweho. Ariko moderi nyinshi zirahari hose muri software yubucuruzi. Guteganya kwinjiza amafaranga, guhanura kw'abakiriya, kugena ibiciro bya elastique, no kubara ibicuruzwa byerekana ibintu byose bishingiye cyane ku gusubira inyuma kwa polinomial cyangwa guhuza ibice.

Ubundi busumbane bwa Markov burakubwira ikintu cyingenzi: igipimo ntarengwa aho urugero rwawe rushobora guhinduka rushobora kubarwa mu mibare bitewe nuburemere bwikitegererezo ubwacyo. Niyo mpamvu urwego rwohejuru rwicyitegererezo rwumva rudahungabana nimpamvu moderi yoroshye akenshi iruta mubikorwa.

Ubushishozi bwibanze: Ubusumbane bwa Markov burerekana ko ingero zicyitegererezo zigenga mu buryo butaziguye guhindagurika. Buri cyiciro cyinyongera cyubwisanzure bwa polinomial cyerekana igipimo cyimpinduka zishobora guhinduka, bigatuma ubworoherane atari uguhitamo gusa ahubwo ni imibare yimibare kugirango iteganyirize ubucuruzi buhamye.

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Ibi bigereranya bite nubusumbane bwa Markov bushoboka?

Ubusumbane bubiri busangiye izina ariko bukemura ibibazo bitandukanye. Gusobanukirwa itandukaniro ryabo bifasha amakipe guhitamo igikoresho gikwiye cyo gusesengura kuri buri kintu.

    • ikindi gikora kumikorere ya polinomial polinomial nibibikomokaho.
    • Intego: Ubusumbane bushoboka bugabanya umurizo amahirwe yo kurenza agaciro; ubusumbane bwa polinomial bugabanya uburyo imikorere ishobora guhinduka murwego runaka.
    • Gusaba: Koresha verisiyo ishoboka yo gusuzuma ibyago, gutahura anomaly, no kugenzura imbibi. Koresha verisiyo ya polinomial kugirango isesengure ryikitegererezo, kugereranya ikosa rya interpolation, hamwe nubwishingizi bworoshye.
    • Gukomera: Ubusumbane bwombi burakaze, bivuze ko hariho ibihe aho imipaka igerwaho neza. Kuri verisiyo ya polinomial, polinomial ikabije ni Chebyshev polinomial, igira uruhare runini mugusesengura imibare no gushushanya algorithm.
    • Ibyerekeye ubucuruzi: Ubusumbane bushoboka buragufasha gusubiza "bishoboka bite ko iyi metero ishobora kuzamuka?" mugihe ubusumbane bwa polinomial busubiza "ni buryo ki urugero rwanjye rwo guhanura rushobora guhinduka hagati yamakuru?"

    Ni ubuhe buryo Bwuzuye bwo Gushyira mu bikorwa Isi?

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    Ubwa mbere, itanga kwisuzumisha birenze. Niba urugero rwa polinomial regression rwerekana ihungabana ryihuse hagati yamakuru azwi, ubusumbane bugereranya neza nuburyo ihungabana rishoboka mubyukuri. Impamyabumenyi-15 polinomial irashobora kugira inkomoko inshuro zigera kuri 225 imipaka yayo, isobanura imvururu zo mu gasozi zituma moderi zo mu rwego rwo hejuru zidashobora kwizerwa.

    Icya kabiri, iramenyesha guhitamo icyitegererezo. Mugihe uhisemo impamyabumenyi ya polinomial kugirango ihuze neza nu gipimo cy’imari, imiyoboro yo kugurisha, cyangwa ibipimo ngenderwaho, n² imipaka itanga impamvu ifatika yo guhitamo icyiciro cyo hasi. Ingwate ihamye itesha agaciro inshuro enye, ntabwo ari umurongo, hamwe na buri rwego rwubwisanzure.

    Icya gatatu, ubusumbane buhuza uburyo bushingiye kumurongo. Ibikoresho byubwenge bugezweho bikoresha ibikoresho byinshi aho gukoresha polinomial imwe yo murwego rwo hejuru. Mugumisha buri gice kurwego rwo hasi, umupaka wa Markov ukomeza gukomera muri buri gice, kandi icyitegererezo rusange kiguma gihamye mugihe ugifata inzira igoye kuri konti zabakoresha 138.000+.

    Ibibazo bikunze kubazwa

    Ubusumbane bwabandi ba Markov burasa nubusumbane bwabavandimwe ba Markov?

    Bafitanye isano ya hafi. Igisubizo cyumwimerere cyakozwe na Andrei Markov mu 1889 gihuza inkomoko yambere ya polinomial imipaka. Murumuna we Vladimir yarayongereye mu 1892 kugirango ahuze inkomoko zose zo mu rwego rwo hejuru. Hamwe na hamwe, ibisubizo byuzuye byiswe ubusumbane bwabavandimwe ba Markov, ariko inkomoko yambere-inkomoko yonyine ikunze kwitwa "ubusumbane bwabandi ba Markov" kugirango itandukane nuburyo bushoboka. Ibisubizo byombi bikomeza gukara, hamwe na Chebyshev polinomial ikora nkibibazo bikabije.

    Ubusumbane bwabandi ba Markov bugira izihe ngaruka ku isesengura ryamakuru muri software yubucuruzi?

    Ihindura mu buryo butaziguye akazi ako ari ko kose gakoresha umurongo uteganijwe gukwiranye, gusesengura ibyerekezo, cyangwa kwerekana imiterere. Ubusumbane bushiraho ko urwego rwohejuru rwimiterere ya polinomial isanzwe ihindagurika cyane. Ku matsinda yubucuruzi akoresha urubuga nka Mewayz guhanura ibyinjira, ibikenerwa mumushinga, cyangwa imyitwarire yicyitegererezo cyabakiriya, ibi bivuze guhitamo impamyabumenyi yo hasi cyane ifata neza ibyerekezo byamakuru bizatanga ubuhanuzi buhamye kandi bwizewe. Nibisobanuro byerekana imibare ihame rya parsimony mukubaka icyitegererezo.

    Nshobora gukoresha ubwo busumbane hanze yicyitegererezo cyinshi?

    Ubusumbane ubwabwo bukoreshwa cyane kuri polinomial, ariko isomo ryibitekerezo ryagutse cyane. Icyiciro cyose cyicyitegererezo gifite ibintu bisa nkibigoye-bihamye. Imiyoboro ya Neural ifite imipaka rusange, imiterere yumurongo ifite nimero yimiterere, kandi ibiti byemezo bifite ingaruka zishingiye kubwimbitse. Ubundi ubusumbane bwa Markov ni bumwe mu myiyerekano isukuye kandi ishaje cyane yerekana ko imiterere itoroshye igabanya ihungabana ry’imihindagurikire, ihame rikoreshwa ku isi hose mu buryo bwo gusesengura bukoreshwa mu bucuruzi bugezweho.

    Shyira Imibare Yukuri inyuma yicyemezo cyawe cyubucuruzi

    Amahame yihishe inyuma yubusumbane bwa Markov, ituze, imipaka igoye, hamwe no gukumira amakuru, ni amahame atuma ibikorwa byubucuruzi bikora neza. Mewayz izana modul 207 ihuriweho hamwe muri sisitemu imwe ikora igamije guha ikipe yawe ubushishozi busobanutse, butajegajega, kandi bukora nta guhindagurika kw'ibikoresho bigoye. Injira kubakoresha 138.000+ bizeye amakuru yubucuruzi kurubuga rwubatswe neza. Tangira ikigeragezo cyawe kubuntu kuri app.mewayz.com uyumunsi.

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