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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBÉNARD, Pierre-Jean
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTRAONMILIN, Yann
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAUJOL, Jean-François
hal.structure.identifierSignal et Communications [IRIT-SC]
hal.structure.identifierCentre National de la Recherche Scientifique [CNRS]
dc.contributor.authorSOUBIES, Emmanuel
dc.date.accessioned2024-04-04T02:33:11Z
dc.date.available2024-04-04T02:33:11Z
dc.date.created2023-09-08
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190453
dc.description.abstractEnIn 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.
dc.description.sponsorshipRégularisation performante de problèmes inverses en grande dimension pour le traitement de données - ANR-20-CE40-0001
dc.language.isoen
dc.subject.enoff-the-grid sparse recovery
dc.subject.ennon-convex methods
dc.subject.enover-parametrization
dc.subject.enprojected gradient descent
dc.subject.enmicroscopy
dc.title.enEstimation of off-the-grid sparse spikes with over-parametrized projected gradient descent: theory and application
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halInformatique [cs]/Traitement du signal et de l'image
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04220523
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04220523v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=B%C3%89NARD,%20Pierre-Jean&TRAONMILIN,%20Yann&AUJOL,%20Jean-Fran%C3%A7ois&SOUBIES,%20Emmanuel&rft.genre=preprint


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