Title
A hierarchical sparsity-smoothness Bayesian model for ℓ0 + ℓ1 + ℓ2 regularization
Abstract
Sparse signal/image recovery is a challenging topic that has captured a great interest during the last decades. To address the ill-posedness of the related inverse problem, regularization is often essential by using appropriate priors that promote the sparsity of the target signal/image. In this context, ℓ0 + ℓ1 regularization has been widely investigated. In this paper, we introduce a new prior accounting simultaneously for both sparsity and smoothness of restored signals. We use a Bernoulli-generalized Gauss-Laplace distribution to perform ℓ0 + ℓ1 + ℓ2 regularization in a Bayesian framework. Our results show the potential of the proposed approach especially in restoring the non-zero coefficients of the signal/image of interest.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6853929
Acoustics, Speech and Signal Processing
Keywords
DocType
Citations 
Bayes methods,Gaussian distribution,image restoration,smoothing methods,Bernoulli-generalized Gauss-Laplace distribution,appropriate prior,hierarchical sparsity-smoothness Bayesian model,l0+l1+ l2 regularization,signal restoration,signal smoothing,sparse image recovery,sparse signal recovery,target image sparsity,target signal sparsity,MCMC,hierarchical Bayesian models,restoration,smoothness,sparsity
Conference
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Lotfi Chaâri111113.30
Hadj Batatia200.34
Nicolas Dobigeon32070108.02
Jean-Yves Tourneret483564.32