A variational method for learning sparse and overcomplete representations

Girolami, M. (2001) A variational method for learning sparse and overcomplete representations. Neural Computation, 13(11), pp. 2517-2532. (doi: 10.1162/089976601753196003)

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Abstract

An expectation-maximization algorithm for learning sparse and overcomplete data representations is presented. The proposed algorithm exploits a variational approximation to a range of heavy-tailed distributions whose limit is the Laplacian. A rigorous lower bound on the sparse prior distribution is derived, which enables the analytic marginalization of a lower bound on the data likelihood. This lower bound enables the development of an expectation-maximization algorithm for learning the overcomplete basis vectors and inferring the most probable basis coefficients.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Girolami, Prof Mark
Authors: Girolami, M.
College/School:College of Science and Engineering > School of Computing Science
Journal Name:Neural Computation
ISSN:0899-7667
ISSN (Online):1530-888X
Published Online:13 March 2006

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