Dictionary Learning and Tensor Decomposition via the Sum-of-Squares Method

We give a new approach to the dictionary learning (also known as “sparse coding”) problem of recovering an unknown n × m matrix A (for m ≥ n) from examples of the form [y = Ax + e], where x is a random vector in R[superscript m] with at most τ m nonzero coordinates, and e is a random noise vector in...

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Bibliographic Details
Main Authors: Barak, Boaz, Steurer, David, Kelner, Jonathan Adam
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Association for Computing Machinery 2016
Online Access:http://hdl.handle.net/1721.1/105133
https://orcid.org/0000-0002-4257-4198