Optimality and sub-optimality of PCA I: Spiked random matrix models

A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, introduced by Johnstone, in which a prominent eigenvector (or “spike”) is planted into a random matrix. These distributions form natural statistical models for principal component analysis (PCA...

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Bibliographic Details
Main Authors: Perry, Amelia E., Wein, Alexander Spence, Bandeira, Afonso S., Moitra, Ankur
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Institute of Mathematical Statistics 2020
Online Access:https://hdl.handle.net/1721.1/125398

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