Vim cov Eigenvectors qhia kev taw qhia ntawm lub ntsiab lus tseem ceeb (txoj haujlwm tshiab), peb yuav muab cov ntaub ntawv qub los ntawm eigenvectors kom rov taw qhia peb cov ntaub ntawv mus rau lub axes tshiab. Cov ntaub ntawv rov taw qhia no yog hu ua tus qhab nia.
eigenvectors qhia peb li cas?
Tshuaj teb. Eigenvectors ua nkag siab txog kev hloov pauv yooj yim. Lawv yog cov "axes" (kev taw qhia) raws li ib tug linear transformation ua tsuas yog los ntawm "stretching / compressing" thiab / los yog "flipping"; eigenvalues muab rau koj cov xwm txheej uas qhov compression tshwm sim.
Cov eigenvectors qhia dab tsi hauv PCA?
Lub eigenvectors thiab eigenvalues ntawm kev sib txawv (lossis kev sib raug zoo) matrix sawv cev rau "core" ntawm PCA: Cov eigenvectors (cov khoom tseem ceeb) txiav txim siab cov lus qhia ntawm qhov chaw tshiab feature, thiab cov eigenvalues txiav txim siab lawv qhov loj.
Vim li cas peb thiaj siv eigenvectors?
Eigenvalues thiab eigenvectors cia peb "txo" kev ua haujlwm tawm kom sib cais, yooj yim dua, teeb meem Piv txwv li, yog tias muaj kev ntxhov siab siv rau "yas" khoom, qhov deformation tuaj yeem muab faib ua "cov lus qhia tseem ceeb" - cov lus qhia uas qhov deformation loj tshaj.
Qhov txawv ntawm eigenvalues thiab eigenvectors yog dab tsi?
Eigenvectors yog cov lus qhia uas ib qho kev hloov pauv hloov pauv los ntawm flipping, compressing lossis stretching. Eigenvalue tuaj yeem raug xa mus rau raws li qhov lub zogntawm kev hloov pauv hauv cov kev taw qhia ntawm eigenvector lossis qhov tseem ceeb los ntawm qhov compression tshwm sim.
