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Stable Recovery with Analysis Decomposable Priors

hal.structure.identifierEquipe Image - Laboratoire GREYC - UMR6072
dc.contributor.authorFADILI, Jalal M.
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorPEYRÉ, Gabriel
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorVAITER, Samuel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDELEDALLE, Charles-Alban
hal.structure.identifierLaboratoire Traitement et Communication de l'Information [LTCI]
dc.contributor.authorSALMON, Joseph
dc.date.accessioned2024-04-04T02:20:20Z
dc.date.available2024-04-04T02:20:20Z
dc.date.issued2013
dc.date.conference2013-07
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189478
dc.description.abstractEnIn this paper, we investigate in a unified way the structural properties of solutions to inverse problems. These solutions are regularized by the generic class of semi-norms defined as a decomposable norm composed with a linear operator, the so-called analysis type decomposable prior. This encompasses several well-known analysis-type regularizations such as the discrete total variation (in any dimension), analysis group-Lasso or the nuclear norm. Our main results establish sufficient conditions under which uniqueness and stability to a bounded noise of the regularized solution are guaranteed. Along the way, we also provide a strong sufficient uniqueness result that is of independent interest and goes beyond the case of decomposable norms.
dc.language.isoen
dc.source.titleProc. SampTA'13
dc.title.enStable Recovery with Analysis Decomposable Priors
dc.typeCommunication dans un congrès
dc.subject.halInformatique [cs]/Traitement des images
bordeaux.page113-116
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleProc. SampTA'13
bordeaux.countryDE
bordeaux.title.proceedingProc. SampTA'13
bordeaux.conference.cityBremen
bordeaux.peerReviewedoui
hal.identifierhal-00926732
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00926732v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Proc.%20SampTA'13&rft.date=2013&rft.spage=113-116&rft.epage=113-116&rft.au=FADILI,%20Jalal%20M.&PEYR%C3%89,%20Gabriel&VAITER,%20Samuel&DELEDALLE,%20Charles-Alban&SALMON,%20Joseph&rft.genre=unknown


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