Skip to Main content Skip to Navigation
Conference papers

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, Laboratoire I3S - 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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01358112
Contributor : Laure Blanc-Féraud <>
Submitted on : Wednesday, August 31, 2016 - 9:56:08 AM
Last modification on : Tuesday, May 26, 2020 - 6:50:52 PM

Identifiers

  • 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. , GdR MaDICS, May 2016, Grenoble, France. ⟨hal-01358112⟩

Share

Metrics

Record views

396