BÉNARD, Pierre-Jean; TRAONMILIN, Yann; AUJOL, Jean-François

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BÉNARD, Pierre-Jean
Institut de Mathématiques de Bordeaux [IMB]

TRAONMILIN, Yann
Institut de Mathématiques de Bordeaux [IMB]

AUJOL, Jean-François
Institut de Mathématiques de Bordeaux [IMB]

Langue

Communication dans un congrès

Ce document a été publié dans

2022 30th European Signal Processing Conference (EUSIPCO), 2022, Belgrade (Serbia).

Résumé en anglais

We consider the problem of recovering off-the-grid spikes from Fourier measurements. Successful methods such as sliding Frank-Wolfe and continuous orthogonal matching pursuit (OMP) iteratively add spikes to the solution then perform a costly (when the number of spikes is large) descent on all parameters at each iteration. In 2D, it was shown that performing a projected gradient descent (PGD) from a gridded over-parametrized initialization was faster than continuous orthogonal matching pursuit. In this paper, we propose an off-the-grid over-parametrized initialization of the PGD based on OMP that permits to fully avoid grids and gives faster results in 3D.< Réduire

Mots clés en anglais

spike super-resolution

non-convex optimization

over-parametrization

projected gradient descent

continuous orthogonal matching pursuit

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191088

Project ANR

Régularisation performante de problèmes inverses en grande dimension pour le traitement de données - ANR-20-CE40-0001

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251