Estimation of off-the-grid sparse spikes with over-parametrized projected gradient descent: theory and application - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2023

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)

Identifiers

  • HAL Id : hal-04220523 , version 1

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. 2023. ⟨hal-04220523⟩
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