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.
Complete list of metadatas

Cited literature [15 references]  Display  Hide  Download

https://hal.inria.fr/hal-02263782
Contributor : Emmanuel Soubies <>
Submitted on : Monday, August 5, 2019 - 4:23:12 PM
Last modification on : Thursday, December 12, 2019 - 5:11:36 PM

File

AbstractSPARS_Soubies.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02263782, version 1

Citation

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⟩

Share

Metrics

Record views

120

Files downloads

447