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hal.structure.identifierCentre National de la Recherche Scientifique [CNRS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTRAONMILIN, Yann
hal.structure.identifierCentre National de la Recherche Scientifique [CNRS]
hal.structure.identifierInstitut de Mathématiques de Bourgogne [Dijon] [IMB]
dc.contributor.authorVAITER, Samuel
hal.structure.identifierParcimonie et Nouveaux Algorithmes pour le Signal et la Modélisation Audio [PANAMA]
dc.contributor.authorGRIBONVAL, Rémi
dc.date.accessioned2024-04-04T03:05:41Z
dc.date.available2024-04-04T03:05:41Z
dc.date.conference2018-11-21
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193269
dc.description.abstractEnThe 1-norm is a good convex regularization for the recovery of sparse vectors from under-determined linear measurements. No other convex regularization seems to surpass its sparse recovery performance. How can this be explained? To answer this question, we define several notions of " best " (convex) regulariza-tion in the context of general low-dimensional recovery and show that indeed the 1-norm is an optimal convex sparse regularization within this framework.
dc.language.isoen
dc.title.enIs the 1-norm the best convex sparse regularization?
dc.typeCommunication dans un congrès
dc.subject.halInformatique [cs]/Traitement du signal et de l'image
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.identifier.arxiv1806.08690
bordeaux.page1-11
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleiTWIST'18 - international Traveling Workshop on Interactions between low-complexity data models and Sensing Techniques
bordeaux.countryFR
bordeaux.conference.cityMarseille
bordeaux.peerReviewedoui
hal.identifierhal-01819219
hal.version1
hal.invitednon
hal.proceedingsnon
hal.conference.end2018-11-23
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01819219v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.spage=1-11&rft.epage=1-11&rft.au=TRAONMILIN,%20Yann&VAITER,%20Samuel&GRIBONVAL,%20R%C3%A9mi&rft.genre=unknown


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