PAC-Bayesian Bounds for Randomized Empirical Risk Minimizers

dc.creatorAlquier, Pierre
dc.date2007-12-11
dc.date2009-01-09
dc.date.accessioned2026-07-07T12:27:17Z
dc.date.available2026-07-07T12:27:17Z
dc.descriptionThe aim of this paper is to generalize the PAC-Bayesian theorems proved by Catoni in the classification setting to more general problems of statistical inference. We show how to control the deviations of the risk of randomized estimators. A particular attention is paid to randomized estimators drawn in a small neighborhood of classical estimators, whose study leads to control the risk of the latter. These results allow to bound the risk of very general estimation procedures, as well as to perform model selection.
dc.identifierhttps://arxiv.org/abs/0712.1698
dc.identifierhttp://arxiv.org/abs/0712.1698
dc.identifierMathematical Methods of Statistics 17, 4 (2008) 279-304
dc.identifierdoi:10.3103/S1066530708040017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215159
dc.subjectMachine Learning
dc.subjectStatistics Theory
dc.titlePAC-Bayesian Bounds for Randomized Empirical Risk Minimizers
dc.typetext

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