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Structured Bayesian Orthogonal Matching Pursuit

Abstract : Taking advantage of the structures inherent in many sparse decompositions constitutes a promising research axis. In this paper, we address this problem from a Bayesian point of view. We exploit a Boltzmann machine, allowing to take a large variety of structures into account, and focus on the resolution of a joint maximum a posteriori problem. The proposed algorithm, called Structured Bayesian Orthogonal Matching Pursuit (SBOMP), is a structured extension of the Bayesian Orthogonal Matching Pursuit algorithm (BOMP) introduced in our previous work. In numerical tests involving a recovery problem, SBOMP is shown to have good performance over a wide range of sparsity levels while keeping a reasonable computational complexity
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Submitted on : Tuesday, November 20, 2012 - 12:03:15 PM
Last modification on : Sunday, June 26, 2022 - 2:18:36 AM
Long-term archiving on: : Thursday, February 21, 2013 - 12:10:39 PM


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  • HAL Id : hal-00754995, version 1


Angélique Drémeau, Cedric Herzet, Laurent Daudet. Structured Bayesian Orthogonal Matching Pursuit. IEEE ICASSP 2012, Mar 2012, Kyoto, Japan. ⟨hal-00754995⟩



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