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Conference Papers Year : 2019

On the Local Minimizers of the CEL0 Relaxation

Abstract

We study the strict local minimizers of the CEL0 func-tional, an exact continuous relaxation of the`0-regularized least-squarescriterion. More precisely, we derive a necessary and sufficient conditionfor strict local optimality, recalling that global minimizers are strict.Moreover, we quantify the number of strict local (not global) minimizersof the initial functional that are eliminated by the relax.
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Dates and versions

hal-02263782 , version 1 (05-08-2019)

Identifiers

  • HAL Id : hal-02263782 , version 1

Cite

Emmanuel Soubies, Laure Blanc-Féraud, Gilles Aubert. On the Local Minimizers of the CEL0 Relaxation. SPARS 2019 - Signal Processing with Adaptive Sparse Structured Representations - Workshop, Jul 2019, Toulouse, France. ⟨hal-02263782⟩
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