Show simple item record

Stable Recovery with Analysis Decomposable Priors

dc.contributor.authorSalmon, Joseph*
dc.contributor.authorDeledalle, Charles-Alban*
dc.contributor.authorVaiter, Samuel*
dc.contributor.authorPeyré, Gabriel*
dc.contributor.authorFadili, Jalal*
dc.date.accessioned2014-01-22T15:21:38Z
dc.date.available2014-01-22T15:21:38Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12486
dc.language.isoenen
dc.subjectinverse problemsen
dc.subjectanalysis regularizationen
dc.subject.ddc621.3en
dc.titleStable Recovery with Analysis Decomposable Priorsen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherLaboratoire Traitement et Communication de l'Information [Paris] (LTCI) http://www.ltci.telecom-paristech.fr/ Télécom ParisTech – CNRS : UMR5141;France
dc.contributor.editoruniversityotherInstitut 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.editoruniversityotherGroupe 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.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.en
dc.identifier.citationpages113-116en
dc.relation.ispartoftitleProceedings SampTA 2013en
dc.relation.ispartofpublnameEURASIPen
dc.relation.ispartofdate2013
dc.subject.ddclabelTraitement du signalen
dc.relation.conftitleSampTA 2013en
dc.relation.confdate2013-07
dc.relation.confcityBremenen
dc.relation.confcountryAllemagneen
dc.relation.forthcomingnonen
hal.person.labIds484335*
hal.person.labIds*
hal.person.labIds60*
hal.person.labIds60*
hal.person.labIds150*


Files in this item

Thumbnail
Name:
SAMPTA-2013.pdf
Size:
165.8Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record