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 ana...

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Bibliographic Details
Main Authors: Perry, Amelia E. (Author), Wein, Alexander Spence (Author), Bandeira, Afonso S. (Author), Moitra, Ankur (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Institute of Mathematical Statistics, 2020-05-21T20:31:23Z.
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