Estimation of off-the-grid sparse spikes with over-parametrized projected gradient descent: theory and application - IRIT - Centre National de la Recherche Scientifique
Journal Articles Inverse Problems Year : 2024

Estimation of off-the-grid sparse spikes with over-parametrized projected gradient descent: theory and application

Abstract

In this article, we study the problem of recovering sparse spikes with overparametrized projected descent. We first provide a theoretical study of approximate recovery with our chosen initialization method: Continuous Orthogonal Matching Pursuit without Sliding. Then we study the effect of over-parametrization on the gradient descent which highlights the benefits of the projection step. Finally, we show the improved calculation times of our algorithm compared to state-of-the-art modelbased methods on realistic simulated microscopy data.
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Dates and versions

hal-04220523 , version 1 (28-09-2023)

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Cite

Pierre-Jean Bénard, Yann Traonmilin, Jean-François Aujol, Emmanuel Soubies. Estimation of off-the-grid sparse spikes with over-parametrized projected gradient descent: theory and application. Inverse Problems, 2024, 40 (5), ⟨10.1088/1361-6420/ad33e4⟩. ⟨hal-04220523⟩
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