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Estimation of Kullback-Leibler losses for noisy recovery problems within the exponential family

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDELEDALLE, Charles-Alban
dc.date.accessioned2024-04-04T03:09:22Z
dc.date.available2024-04-04T03:09:22Z
dc.date.created2015-12-26
dc.date.issued2017-08-29
dc.identifier.issn1935-7524
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193598
dc.description.abstractEnWe address the question of estimating Kullback-Leibler losses rather than squared losses in recovery problems where the noise is distributed within the exponential family. Inspired by Stein unbiased risk estimator (SURE), we exhibit conditions under which these losses can be unbiasedly estimated or estimated with a controlled bias. Simulations on parameter selection problems in applications to image denoising and variable selection with Gamma and Poisson noises illustrate the interest of Kullback-Leibler losses and the proposed estimators.
dc.language.isoen
dc.publisherShaker Heights, OH : Institute of Mathematical Statistics
dc.subject.enExponential family
dc.subject.enKullback-Leibler divergence
dc.subject.enModel selection
dc.subject.enStein unbiased risk estimator
dc.title.enEstimation of Kullback-Leibler losses for noisy recovery problems within the exponential family
dc.typeArticle de revue
dc.subject.halStatistiques [stat]/Applications [stat.AP]
dc.subject.halStatistiques [stat]/Méthodologie [stat.ME]
dc.subject.halInformatique [cs]/Traitement des images
dc.subject.halStatistiques [stat]/Théorie [stat.TH]
dc.identifier.arxiv1512.08191
bordeaux.journalElectronic Journal of Statistics
bordeaux.page3141-3164
bordeaux.volume11
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01248431
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01248431v1
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