Kusaenzana kwaMarkov: Izvo Vatungamiriri veBhizinesi Vanoda Kuziva

Kumwe kusaenzana kwaMarkov isimba remasvomhu rinosungirirwa pane zvakabva pamapolynomials, zvakaratidzwa naAndrei Markov muna 1889, uye zvakatosiyana nekusaenzana kwaMarkov kunosangana nenyanzvi dzakawanda mumakosi ehuwandu. Kunzwisisa kusaenzana uku kusingazivikanwe kunoratidza maonero akakosha ekukurumidza kushanduka kwemhando dzepolynomial, pfungwa ine zvinongedzo zvakanangana nekufungidzira, kugadzirisa, uye kuita sarudzo kunotungamirwa nedata mukati mepuratifomu seMewayz.

Chii Chaizvo Kusaenzana kwaMarkov?

Nyanzvi zhinji dze data dzinoziva kusaenzana kwaMarkov kubva pane zvingangoita dzidziso: kana X iri isiri-negative random variable, ipapo P(X ≥ a) ≤ E[X]/a. Inosungirira kuti musiyano ungangodarika sei pachikumbaridzo. Zviri nyore, zvinoyevedza, uye zvinodzidziswa zvakafara.

Iyozvimwe Kusaenzana kwaMarkov kunogara mufungidziro yekufungidzira. Inoti kana p(x) iri polynomial yedhigirii n uye |p(x)| ≤ 1 pachinhanho [-1, 1], zvino derivative inogutsa |p'(x)| ≤ n² panguva imwe chete iyoyo. Mumutauro wakajeka, kana iwe uchiziva kuti polynomial inogara yakaganhurwa mukati mechikamu, mwero wayo wekuchinja haugone kudarika muganho chaiwo wakatemwa nedhigirii repolynomial.

Mhedzisiro iyi yakazowedzerwa nemukoma waAndrei, Vladimir Markov, kuti avhare zvakabva padanho repamusoro, zvichigadzira izvo zvinonzi nenyanzvi dzemasvomhu dzava kunzi kusaenzana kwehama dzeMarkov. Kuwedzeredzwa kwacho kunoratidza kuti k-th inobva papolynomial inosungirirwa yedhigirii n pachayo inosungwa nekutaura kunoverengeka kunosanganisira n uye k.

Sei VemaBusiness Operators Vachifanira Kuchengeta Polynomial Bounds?

Pakutanga kuona, dzidziso yezana ramakore rechi 19 pamusoro pemapolynomials inoita seisina hukama kubva mukufambisa bhizinesi razvino. Asi mapolynomial modhi ari kwese kwese mune zvekutengesa software. Kufembera kwemari, kufembera kwevatengi, kusimba kwemitengo, uye kudhirowa kwechido chekumisikidza zvese zvinowanzoenderana nepolynomial regression kana spline-based fits.

Kumwe kusaenzana kwaMarkov kunokuudza chimwe chinhu chakakosha: mwero wepamusoro wekuti fungidziro yemodhi yako inogona kushanduka inomanikidzwa nemasvomhu nekuoma kweiyo modhi pachayo. A degree-3 polynomial forecast inogona kuchinja kazhinji ka9 nekukurumidza seyakaganhurwa, nepo modhi yedhigirii-10 inogona kusvetuka kusvika kagumi. Ndosaka mamodheru epamusoro-soro achinzwa kusagadzikana uye nei mamodheru ari nyore achiwanzopfuura mukuita.

Kunzwisisa kwakakosha: Imwewo kusaenzana kwaMarkov kunoratidza kuti kuoma kwemuenzaniso kunotungamirira zvakananga kushanduka kwekufanotaura. Imwe neimwe dhigirii yerusununguko yepolynomial inokwana mwero unobvira weshanduko, zvichiita kuti kuve nyore kwete kungofarira asi kudikanwa kwemasvomhu kufembero yebhizinesi yakagadzikana.

Izvi Zvinofananidzwa Sei Nekusaenzana kwaProbabilistic Markov?

Kusaenzana kuviri kunogovana surname asi kunogadzirisa mibvunzo yakasiyana. Kunzwisisa kusiyana kwavo kunobatsira zvikwata kusarudza chishandiso chakakodzera chekuongorora chiitiko chega chega.

• Domain: The probabilistic version inoshanda pane zvisina tsarukano uye kugovera; imwe yacho inoshanda pa deterministic polynomial function and their derivatives.
• Chinangwa: The probabilistic kusaenzana inosunga mukana wemuswe wekupfuura kukosha; kusaenzana kwepolynomial kunosungira kuti basa rinogona kukurumidza sei kuchinja mukati mechikamu chakapihwa.
• Application: Shandisa probabilistic version yekuongorora njodzi, kuona zvisizvo, uye kuona kuti pane ngozi. Shandisa iyo polynomial vhezheni yekuongorora kugadzikana kwemodhiyo, fungidziro yekukanganisa, uye vimbiso yekutsvedzerera.
• Kusimba: Zvose kusaenzana kwakapinza, zvichireva kuti pane zviitiko apo muganhu unowanikwa chaizvo. Kune iyo polynomial vhezheni, iyo yakanyanyisa polynomials ndeye Chebyshev polynomials, iyo inoita basa repakati mukuongororwa kwenhamba uye kugadzira algorithm.
• Kukoshera Bhizimisi: Kusaenzana kungangoitika kunokubatsira kupindura "zvakaita sei kuti metric iyi ikwire?" ukuwo kusaenzana kwepolynomial kunopindura kuti "modhiyo yangu yekufungidzira inogona kutenderera nechisimba sei pakati pe data data?"

Ndezvipi Zvinotarisirwa Kuitwa Kwepasirese?

Kana zvikwata zviri mukati me207-module bhizinesi inoshanda sisitimu yakaita seMewayz ikavaka madhibhodhi ekufanotaura, mainjini ekushuma, kana kufanofembera analytics mafambiro ebasa, kumwe kusaenzana kwaMarkov kunopa maitiro ekuchengetedza.

Chekutanga, inopa kuongororwa kwekuwandisa. Kana yako polynomial regression modhi ichiratidza kukurumidza oscillations pakati peanozivikanwa mapoinzi edhata, kusaenzana kunoratidza chaizvo kuti yakawanda oscillation inogoneka sei. Dhigirii-15 polynomial inogona kuva nezvinotorwa kusvika ku225 zvayakaganhurwa, ichitsanangura machinjiro emusango anoita kuti mhando dzemhando yepamusoro dzisavimbike pakuwedzera.

Chechipiri, inozivisa sarudzo yemhando. Kana uchisarudza pakati pemadhigirii epolynomial yemaitiro anokodzera mune zvemari fungidziro, ekutengesa pombi, kana mashandiro metrics, iyo n² bound inopa chikonzero chechokwadi chekuda yakaderera-degree inokwana. Vimbiso yekugadzikana inodzikisira quadratically, kwete mutsara, neimwe imwe neimwe dhigirii yerusununguko.

Chechitatu, kusaenzana kunobatanidza kune spline-based nzira. Zvishandiso zvemazuva ano zvehungwaru zvebhizinesi zvinowanzo shandisa piecewise polynomials pane imwe chete yepamusoro-degree polynomials. Nekuchengeta chidimbu chega chega chiri padanho rakaderera, Markov anosungwa anoramba akasimba mukati mechikamu chega chega, uye modhi yacho yese inoramba yakagadzikana ichiri kutora maitiro akaomarara mukati me138,000+ maakaundi evashandisi.

Mibvunzo Inowanzo bvunzwa

Kusaenzana kumwe kwaMarkov kwakafanana here nekusaenzana kwehama dzaMarkov?

Vane hukama hwepedyo. Mhedzisiro yekutanga naAndrei Markov muna 1889 inosunga yekutanga kubva kune yakasungwa polynomial. Munun'una wake Vladimir akawedzera muna 1892 kuti asunge zvese zvakatorwa nepamusoro-soro. Pamwe chete, iyo yakazara seti yemhedzisiro inowanzonzi kusaenzana kwehama dzeMarkov, asi yekutanga-yakasungwa yega inowanzonzi "imwe kusaenzana kwaMarkov" kuisiyanisa kubva kune probabilistic vhezheni. Mibairo yese iri miviri inoramba yakapinza, neChebyshev polynomials inoshanda seyakanyanya nyaya.

Kusaenzana kweimwe Markov kunokanganisa sei kuongororwa kwedata mubhizinesi software?

Inobata zvakananga chero mafambiro ebasa anoshandisa polynomial curve fit, maitiro ekuongorora, kana regression modelling. Iko kusaenzana kunoratidza kuti yepamusoro-degree polynomial modhi inogara ichinyanya kushanduka. Kune zvikwata zvebhizinesi zvinoshandisa mapuratifomu akaita seMewayz kufanotaura mari, zviwanikwa zvepurojekiti, kana modhi maitiro evatengi, izvi zvinoreva kusarudza yakaderera polynomial dhigirii iyo inobata zvakakwana iyo data maitiro inoburitsa yakagadzikana uye yakavimbika fungidziro. Kururamisa kwemasvomhu kune musimboti weparsimony mukuvaka modhi.

Ndingaisa kusaenzana uku kunze kwemhando dzepolynomial?

Kusaenzana pachayo kunoshanda kune polynomials, asi chidzidzo chayo chepfungwa chinotambanuka. Chero kirasi yemhando ine analogous yakaoma-kugadzikana tradeoffs. Neural network ine generalization miganhu, mitsetse modhi ine nhamba dzemamiriro, uye miti yesarudzo ine yakadzika-yakavakirwa overfitting njodzi. Kumwe kusaenzana kwaMarkov ndeimwe yeratidziro dzakachena uye dzechinyakare dzinomanikidza kuomarara kwemuenzaniso kunodzora zvakananga kusagadzikana kwekufanotaura, musimboti unoshanda pasi rose panzira dzekuongorora dzinoshandiswa mumashandiro emazuva ano ebhizinesi.

Isa Mathematics Precision Kumashure Kwezvisarudzo Zvebhizinesi Rako

Misimboti kuseri kweimwe kusaenzana kweMarkov, kugadzikana, kuomeswa kwakaganhurwa, uye kuzvidzora kunofambiswa nedata, ndizvo chaizvo misimboti inosimbisa mashandiro ebhizinesi. Mewayz inounza mazana maviri nenomwe akasanganiswa mamodule pamwe chete mune imwechete inoshanda sisitimu yakagadzirirwa kupa timu yako yakajeka, yakagadzikana, uye inobatika maonero pasina kusachinja-chinja kwezvishandiso zvakawandisa. Joinha 138,000+ vashandisi vanovimba nebhizinesi ravo data kupuratifomu yakavakirwa pane chaiyo. Tanga kuedza kwako mahara paapp.mewayz.com nhasi.