Title
A proximal approach for signal recovery based on information measures
Abstract
Recently, methods based on Non-Local Total Variation (NLTV) minimization have become popular in image processing. They play a prominent role in a variety of applications such as denoising, compressive sensing, and inverse problems in general. In this work, we extend the NLTV framework by using some information divergences to build new sparsity measures for signal recovery. This leads to a general convex formulation of optimization problems involving information divergences. We address these problems by means of fast parallel proximal algorithms. In denoising and deconvolution examples, our approach is compared with ℓ2-NLTV based approaches. The proposed approach applies to a variety of other inverse problems.
Year
Venue
Keywords
2013
Signal Processing Conference
deconvolution,inverse problems,minimisation,signal denoising,deconvolution,denoising,fast parallel proximal algorithms,general convex formulation,information divergences,information measures,inverse problems,nonlocal total variation minimization,optimization problems,proximal approach,signal recovery,sparsity measures,Divergences,convex optimization,inverse problems,non-local processing,parallel algorithms,proximity operator,total variation
Field
DocType
Citations 
Mathematical optimization,Parallel algorithm,Image processing,Deconvolution,Minification,Inverse problem,Convex optimization,Optimization problem,Compressed sensing,Mathematics
Conference
2
PageRank 
References 
Authors
0.36
10
4
Name
Order
Citations
PageRank
Mireille El Gheche1146.39
Anna Jezierska2678.26
Jean-Christophe Pesquet320622.24
Joumana Farah415817.80