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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDELEDALLE, Charles-Alban
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAPADAKIS, Nicolas
hal.structure.identifierInstitut Montpelliérain Alexander Grothendieck [IMAG]
hal.structure.identifierUniversité de Montpellier [UM]
dc.contributor.authorSALMON, Joseph
hal.structure.identifierInstitut de Mathématiques de Bourgogne [Dijon] [IMB]
dc.contributor.authorVAITER, Samuel
dc.date.accessioned2024-04-04T03:00:21Z
dc.date.available2024-04-04T03:00:21Z
dc.date.issued2019
dc.date.conference2019-06-30
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192810
dc.description.abstractEnIn inverse problems, the use of an $\ell_{12}$ analysis regularizer induces a bias in the estimated solution. We propose a general refitting framework for removing this artifact while keeping information of interest contained in the biased solution. This is done through the use of refitting block penalties that only act on the co-support of the estimation. Based on an analysis of related works in the literature, we propose a new penalty that is well suited for refitting purposes. We also present an efficient algorithmic method to obtain the refitted solution along with the original (biased) solution for any convex refitting block penalty. Experiments illustrate the good behavior of the proposed block penalty for refitting.
dc.description.sponsorshipGeneralized Optimal Transport Models for Image processing - ANR-16-CE33-0010
dc.language.isoen
dc.publisherSpringer International Publishing
dc.title.enRefitting solutions promoted by $\ell_{12}$ sparse analysis regularization with block penalties
dc.typeCommunication dans un congrès
dc.subject.halInformatique [cs]/Traitement du signal et de l'image
dc.identifier.arxiv1903.00741
dc.description.sponsorshipEuropeNonlocal Methods for Arbitrary Data Sources
bordeaux.page131-143
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue11603
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleInternational Conference on Scale Space and Variational Methods in Computer Vision (SSVM'19)
bordeaux.countryDE
bordeaux.conference.cityHofgeismar
bordeaux.peerReviewedoui
hal.identifierhal-02059006
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02059006v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2019&rft.issue=11603&rft.spage=131-143&rft.epage=131-143&rft.au=DELEDALLE,%20Charles-Alban&PAPADAKIS,%20Nicolas&SALMON,%20Joseph&VAITER,%20Samuel&rft.genre=unknown


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