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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSHI, Hui
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTRAONMILIN, Yann
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAUJOL, J-F
dc.date.accessioned2024-04-04T02:33:09Z
dc.date.available2024-04-04T02:33:09Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190450
dc.description.abstractEnWe consider the problem of denoising with the help of prior information taken from a database of clean signals or images. Denoising with variational methods is very efficient if a regularizer well adapted to the nature of the data is available. Thanks to the maximum a posteriori Bayesian framework, such regularizer can be systematically linked with the distribution of the data. With deep neural networks (DNN), complex distributions can be recovered from a large training database.To reduce the computational burden of this task, we adapt the compressive learning framework to the learning of regularizers parametrized by DNN. We propose two variants of stochastic gradient descent (SGD) for the recovery of deep regularization parameters from a heavily compressed database. These algorithms outperform the initially proposed method that was limited to low-dimensional signals, each iteration using information from the whole database. They also benefit from classical SGD convergence guarantees. Thanks to these improvements we show that this method can be applied for patch based image denoising.}
dc.language.isoen
dc.subject.enRegularization
dc.subject.enCompressive learning
dc.subject.enDenoising
dc.subject.endeep priors
dc.title.enBatch-less stochastic gradient descent for compressive learning of deep regularization for image denoising
dc.typeDocument de travail - Pré-publication
dc.subject.halInformatique [cs]/Intelligence artificielle [cs.AI]
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.identifier.arxiv2310.03085
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04222825
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04222825v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=SHI,%20Hui&TRAONMILIN,%20Yann&AUJOL,%20J-F&rft.genre=preprint


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