Bandlet Image Estimation with Model Selection
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DOSSAL, Charles | |
| hal.structure.identifier | Laboratoire de Probabilités et Modèles Aléatoires [LPMA] | |
| hal.structure.identifier | Model selection in statistical learning [SELECT] | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LMO] | |
| dc.contributor.author | LE PENNEC, Erwan | |
| hal.structure.identifier | Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP] | |
| dc.contributor.author | MALLAT, Stéphane | |
| dc.date.accessioned | 2024-04-04T02:30:55Z | |
| dc.date.available | 2024-04-04T02:30:55Z | |
| dc.date.created | 2009-12 | |
| dc.date.issued | 2011-01 | |
| dc.identifier.issn | 0165-1684 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190276 | |
| dc.description.abstractEn | To estimate geometrically regular images in the white noise model and obtain an adaptive near asymptotic minimaxity result, we consider a model selection based bandlet estimator. This bandlet estimator combines the best basis selection behaviour of the model selection and the approximation properties of the bandlet dictionary. We derive its near asymptotic minimaxity for geometrically regular images as an example of model selection with general dictionary of orthogonal bases. This paper is thus also a self contained tutorial on model selection with orthogonal bases dictionary. | |
| dc.description.sponsorship | Parcimonie en Statistique - ANR-09-BLAN-0128 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Bandlet Image Estimation with Model Selection | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.sigpro.2011.01.013 | |
| dc.subject.hal | Mathématiques [math]/Statistiques [math.ST] | |
| dc.subject.hal | Statistiques [stat]/Théorie [stat.TH] | |
| dc.subject.hal | Informatique [cs]/Traitement des images | |
| dc.identifier.arxiv | 0809.3092 | |
| bordeaux.journal | Signal Processing | |
| bordeaux.page | 2743-2753 | |
| bordeaux.volume | 91 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 12 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00321965 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00321965v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Signal%20Processing&rft.date=2011-01&rft.volume=91&rft.issue=12&rft.spage=2743-2753&rft.epage=2743-2753&rft.eissn=0165-1684&rft.issn=0165-1684&rft.au=DOSSAL,%20Charles&LE%20PENNEC,%20Erwan&MALLAT,%20St%C3%A9phane&rft.genre=article |
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