Stable Recovery with Analysis Decomposable Priors
| hal.structure.identifier | Equipe Image - Laboratoire GREYC - UMR6072 | |
| dc.contributor.author | FADILI, Jalal M. | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | PEYRÉ, Gabriel | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | VAITER, Samuel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DELEDALLE, Charles-Alban | |
| hal.structure.identifier | Laboratoire Traitement et Communication de l'Information [LTCI] | |
| dc.contributor.author | SALMON, Joseph | |
| dc.date.accessioned | 2024-04-04T02:20:20Z | |
| dc.date.available | 2024-04-04T02:20:20Z | |
| dc.date.issued | 2013 | |
| dc.date.conference | 2013-07 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189478 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.source.title | Proc. SampTA'13 | |
| dc.title.en | Stable Recovery with Analysis Decomposable Priors | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Informatique [cs]/Traitement des images | |
| bordeaux.page | 113-116 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | Proc. SampTA'13 | |
| bordeaux.country | DE | |
| bordeaux.title.proceeding | Proc. SampTA'13 | |
| bordeaux.conference.city | Bremen | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00926732 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00926732v1 | |
| bordeaux.COinS | ctx_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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