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Inverse Problems(2)
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Variational Methods: In Imaging and Geometric Control(1)
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A bilevel learning approach for optimal observation placement in variational data assimilation
ArticleAbstract: In this paper we propose a bilevel optimization approach for the placement of space and time observaPalabras claves:Bilevel optimization, singular optimal control with measures, Supervised learning, variational data assimilationAutores:Juan Carlos De Los Reyes, Paula Castro, Paula M. Castro C.Fuentes:googlescopusBilevel 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:scopusLearning 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:scopus