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Online PCA with Spectral Bounds

Published on Aug 20, 20152261 Views

This paper revisits the online PCA problem. Given a stream of $n$ vectors $x_t \in \R^d$ (columns of $X$) the algorithm must output $y_t \in \R^\ell$ (columns of $Y$) before receiving $x_{t+1}$. The g

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Chapter list

Yahoo! Online PCA with Spectral Bounds00:00
Principal Component Analysis00:12
Optimal Offline Solution00:38
Online PCA01:16
Online PCA, Possible Problem Definitions01:31
Noisy Data Spectra01:49
Online PCA Problem Definitions02:32
Algorithm Intuition - 103:12
Algorithm Intuition - 203:18
Algorithm Intuition - 303:22
Algorithm Intuition - 403:25
Algorithm Intuition - 503:36
Algorithm Properties03:47
Fixing the Algorithm04:28
Visual Ilustration and Open Problem05:09
Thank you05:18