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Communication Dans Un Congrès Année : 2016

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

Laure Blanc-Féraud
Emmanuel Soubies
Gilles Aubert
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Résumé

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.
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Dates et versions

hal-01358112 , version 1 (31-08-2016)

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  • HAL Id : hal-01358112 , version 1

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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⟩
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