residual Component Analysis: Generalizing PCA for more flexible inference in linear-Gaussian models: Difference between revisions

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==Introduction==
==Introduction==
Probabilistic principle component analysis (PPCA) decomposes the covariance of a data vector <math>y</math> in <math>R^p</math>, into a low-rank term and a spherical noise term. <center><math>y \sim N(0, WW^T+\sigma I )</math></center>
Probabilistic principle component analysis (PPCA) decomposes the covariance of a data vector <math> y</math> in <math>\mathbb{R}^p</math>, into a low-rank term and a spherical noise term. <center><math>y \sim \mathcal{N} (0, WW^T+\sigma I )</math></center>

Revision as of 17:12, 3 July 2013

Introduction

Probabilistic principle component analysis (PPCA) decomposes the covariance of a data vector [math]\displaystyle{ y }[/math] in [math]\displaystyle{ \mathbb{R}^p }[/math], into a low-rank term and a spherical noise term.

[math]\displaystyle{ y \sim \mathcal{N} (0, WW^T+\sigma I ) }[/math]