The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution - Inria - Institut national de recherche en sciences et technologies du numérique
Conference Papers Year : 2015

The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution

Abstract

In this paper, we study discrete and continuous versions of the LASSO in order to solve the deconvolution problem. We shed light on the Non Degenerate Source Condition, a property which yields support robustness for both the continuous and discrete problems. More precisely, we show that this property yields exact support recovery in the continuous case and the estimation of twice the number of spikes in the discrete case.
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Origin Files produced by the author(s)
Origin Files produced by the author(s)

Dates and versions

hal-01169371 , version 1 (29-06-2015)

Identifiers

  • HAL Id : hal-01169371 , version 1

Cite

Vincent Duval, Gabriel Peyré. The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution. IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Dec 2015, Cancun, Mexico. ⟨hal-01169371⟩
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