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Bilevel Parameter Learning for Nonlocal Image Denoising Models
ArticleAbstract: We propose a bilevel optimization approach for the estimation of parameters in nonlocal image denoisPalabras claves:Autores:Andrés Miniguano-Trujillo, D’Elia M., Juan Carlos De Los ReyesFuentes:scopusBilevel approaches for learning of variational imaging models
Book PartAbstract: We review some recent learning approaches in variational imaging based on bilevel optimization and ePalabras claves:Bilevel optimization, image denoising, Supervised learning, Variational methodsAutores:Calatroni L., Chung Cao, Juan Carlos De Los Reyes, Schönlieb C.B., Valkonen T.Fuentes:scopusPreface for Inverse Problems special issue on learning and inverse problems
OtherAbstract:Palabras claves:Autores:Haber E., Juan Carlos De Los Reyes, Schönlieb C.B.Fuentes:googlescopusLearning optimal spatially-dependent regularization parameters in total variation image denoising
ArticleAbstract: We consider a bilevel optimization approach in function space for the choice of spatially dependentPalabras claves:Bilevel optimization, optimization-based learning in imaging, PDE-constrained optimization, Schwarz domain decomposition method, Semismooth Newton methodAutores:Cao van Chung, Juan Carlos De Los Reyes, Schönlieb C.B.Fuentes:scopusParameter space study of optimal scale-dependent weights in TV image denoising
ArticleAbstract: We investigate the choice of finite-dimensional parameter spaces within a bilevel optimization framePalabras claves:Bilevel optimization, non-uniform noise, spatially dependent parameter, Total variation image denoisingAutores:Juan Carlos De Los Reyes, K. HerreraFuentes:scopusSecond-order orthant-based methods with enriched Hessian information for sparse ℓ<inf>1</inf> -optimization
ArticleAbstract: We present a second order algorithm, based on orthantwise directions, for solving optimization problPalabras claves:Orthantwise directions, Second-order algorithms, semismooth Newton methods, Sparse optimizationAutores:Estefanía Loayza-Romero, Juan Carlos De Los Reyes, Pedro MerinoFuentes:scopusThe structure of optimal parameters for image restoration problems
ArticleAbstract: We study the qualitative properties of optimal regularisation parameters in variational models for iPalabras claves:Bi-level optimisation, Optimality, Parameter choice, Total generalised variation, Total variationAutores:Juan Carlos De Los Reyes, Schönlieb C.B., Valkonen T.Fuentes:googlescopusTotal generalized variation regularization in data assimilation for burgers’ equation
ArticleAbstract: We propose a second–order total generalized variation (TGV) regularization for the reconstruction ofPalabras claves:Data assimilation, Inviscid Burgers’ equation, Primal-dual methods, Second-order methodsAutores:Estefanía Loayza-Romero, Juan Carlos De Los ReyesFuentes:scopus