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A Novel Smoothed Norm Ratio for Sparse Signal Restoration Application to Mass Spectrometry.

Afef Cherni 1 Emilie Chouzenoux 2 Laurent Duval 3 Jean-Christophe Pesquet 4, 2 
1 I2M - Institut de Mathématiques de Marseille
2 OPIS - OPtimisation Imagerie et Santé
Inria Saclay - Ile de France, CVN - Centre de vision numérique
3 IFPEN - IFP Energies nouvelles
4 CVN - Centre de vision numérique
Abstract : We propose a new smoothed p-Over-q norm ratio for sparse signal reconstruction. A trust-region Variable Metric Forward-Backward is proposed to solve efficiently the resulting non-convex minimization problem. Numerical experiments in the context of mass spectrometry (MS) illustrate the benefits of the novel penalty.
Keywords : Sparsity Non-convex optimization SPOQ. Ill-posed problem
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https://hal.archives-ouvertes.fr/hal-02179379
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Submitted on : Wednesday, July 10, 2019 - 4:57:28 PM
Last modification on : Friday, February 4, 2022 - 3:24:55 AM

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  • HAL Id : hal-02179379, version 1

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IFP | CNRS | INRIA | UNIV-AMU | EC-MARSEILLE | CVN | I2M | I2M-2014- | CENTRALESUPELEC | INRIA2 | UNIV-PARIS-SACLAY | AMIDEX | ANR | GS-ENGINEERING | GS-COMPUTER-SCIENCE

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Afef Cherni, Emilie Chouzenoux, Laurent Duval, Jean-Christophe Pesquet. A Novel Smoothed Norm Ratio for Sparse Signal Restoration Application to Mass Spectrometry.. SPARS 2019 - Signal Processing with Adaptive Sparse Structured Representations, Jul 2019, Toulouse, France. ⟨hal-02179379⟩

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