dc.contributor.author | Salmon, Joseph | * |
dc.contributor.author | Deledalle, Charles-Alban | * |
dc.contributor.author | Vaiter, Samuel | * |
dc.contributor.author | Peyré, Gabriel | * |
dc.contributor.author | Fadili, Jalal | * |
dc.date.accessioned | 2014-01-22T15:21:38Z | |
dc.date.available | 2014-01-22T15:21:38Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/12486 | |
dc.language.iso | en | en |
dc.subject | inverse problems | en |
dc.subject | analysis regularization | en |
dc.subject.ddc | 621.3 | en |
dc.title | Stable Recovery with Analysis Decomposable Priors | en |
dc.type | Communication / Conférence | |
dc.contributor.editoruniversityother | Laboratoire Traitement et Communication de l'Information [Paris] (LTCI) http://www.ltci.telecom-paristech.fr/ Télécom ParisTech – CNRS : UMR5141;France | |
dc.contributor.editoruniversityother | Institut de Mathématiques de Bordeaux (IMB) http://www.math.u-bordeaux.fr/IMB/ CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II;France | |
dc.contributor.editoruniversityother | Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen (GREYC) http://www.greyc.fr CNRS : UMR6072 – Université de Caen Basse-Normandie – Ecole Nationale Supérieure d'Ingénieurs de Caen;France | |
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. | en |
dc.identifier.citationpages | 113-116 | en |
dc.relation.ispartoftitle | Proceedings SampTA 2013 | en |
dc.relation.ispartofpublname | EURASIP | en |
dc.relation.ispartofdate | 2013 | |
dc.subject.ddclabel | Traitement du signal | en |
dc.relation.conftitle | SampTA 2013 | en |
dc.relation.confdate | 2013-07 | |
dc.relation.confcity | Bremen | en |
dc.relation.confcountry | Allemagne | en |
dc.relation.forthcoming | non | en |
hal.person.labIds | 484335 | * |
hal.person.labIds | | * |
hal.person.labIds | 60 | * |
hal.person.labIds | 60 | * |
hal.person.labIds | 150 | * |