Some results on sparse L2-L0 reconstruction: Continuous Exact L0 penalties

Laure Blanc-Féraud 1 Emmanuel Soubies 1 Gilles Aubert 2
1 MORPHEME - Morphologie et Images
CRISAM - Inria Sophia Antipolis - Méditerranée , IBV - Institut de Biologie Valrose : U1091, SIS - Signal, Images et Systèmes
Abstract : A smooth exact approximation of functional L2-L0 (least squares functional with sparse penalizing term using a L0 norm) is presented. This functional, named CEL0 for Continuous Exact L0 approximation is said exact as it preserves global minimizers and remove some of the local minimizers of the L2-L0 functional. More general results on smooth approximation of the L2-L0 functional are also given, describing a class of continuous functions with the properties of preservation of minimizers as described above. Simulation results are presented.
Type de document :
Communication dans un congrès
Workshop ATLAS on mathematical and algorithmimcal approaches for high dimensional problems in data sciences. , May 2016, Grenoble, France. 2016
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01358112
Contributeur : Laure Blanc-Féraud <>
Soumis le : mercredi 31 août 2016 - 09:56:08
Dernière modification le : jeudi 1 septembre 2016 - 01:04:57

Identifiants

  • HAL Id : hal-01358112, version 1

Collections

Citation

Laure Blanc-Féraud, Emmanuel Soubies, Gilles Aubert. Some results on sparse L2-L0 reconstruction: Continuous Exact L0 penalties. Workshop ATLAS on mathematical and algorithmimcal approaches for high dimensional problems in data sciences. , May 2016, Grenoble, France. 2016. 〈hal-01358112〉

Partager

Métriques

Consultations de la notice

189