Skip to Main content Skip to Navigation
Conference papers

On the Local Minimizers of the CEL0 Relaxation

Emmanuel Soubies 1, 2, 3 Laure Blanc-Féraud 4 Gilles Aubert 5
1 IRIT-SC - Signal et Communications
IRIT - Institut de recherche en informatique de Toulouse
4 MORPHEME - Morphologie et Images
CRISAM - Inria Sophia Antipolis - Méditerranée , IBV - Institut de Biologie Valrose : U1091, Laboratoire I3S - SIS - Signal, Images et Systèmes
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 metadata

Cited literature [15 references]  Display  Hide  Download

https://hal.inria.fr/hal-02263782
Contributor : Emmanuel Soubies Connect in order to contact the contributor
Submitted on : Monday, August 5, 2019 - 4:23:12 PM
Last modification on : Wednesday, November 3, 2021 - 7:16:45 AM
Long-term archiving on: : Wednesday, January 8, 2020 - 10:47:59 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

274

Files downloads

1117