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Conference Papers Year : 2009

Challenging Restricted Isometry Constants with Greedy Pursuit

Charles H Dossal
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Jalal M. Fadili

Abstract

This paper proposes greedy numerical schemes to compute lower bounds of the restricted isometry constants that are central in compressed sensing theory. Matrices with small restricted isometry constants enable stable recovery from a small set of random linear measurements. We challenge this compressed sampling recovery using greedy pursuit algorithms that detect ill-conditionned sub-matrices. It turns out that these sub-matrices have large isometry constants and hinder the performance of compressed sensing recovery.
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Dates and versions

hal-00373450 , version 1 (05-04-2009)
hal-00373450 , version 2 (13-07-2009)

Identifiers

  • HAL Id : hal-00373450 , version 2

Cite

Charles H Dossal, Gabriel Peyré, Jalal M. Fadili. Challenging Restricted Isometry Constants with Greedy Pursuit. ITW'09, Oct 2009, Taormina, Italy. pp.475-479. ⟨hal-00373450v2⟩
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