A Novel Smoothed Norm Ratio for Sparse Signal Restoration Application to Mass Spectrometry. - Archive ouverte HAL Access content directly
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A Novel Smoothed Norm Ratio for Sparse Signal Restoration Application to Mass Spectrometry.

Afef Cherni
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Emilie Chouzenoux
Laurent Duval

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.
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Dates and versions

hal-02179379 , version 1 (10-07-2019)

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  • HAL Id : hal-02179379 , version 1

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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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