A hierarchical sparsity-smoothness Bayesian model for ℓ0 + ℓ1 + ℓ2 regularization

L Chaari, H Batatia, N Dobigeon… - … on Acoustics, Speech …, 2014 - ieeexplore.ieee.org
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 …

Image restoration through l0 analysis-based sparse optimization in tight frames

J Portilla - 2009 16th IEEE International Conference on Image …, 2009 - ieeexplore.ieee.org
Sparse optimization in overcomplete frames has been widely applied in recent years to ill-
conditioned inverse problems. In particular, analysis-based sparse optimization consists of …

Sparse Bayesian image restoration with linear operator uncertainties with application to EEG signal recovery

L Chaari, H Batatia, JY Tourneret - 2nd Middle East Conference …, 2014 - ieeexplore.ieee.org
Sparse signal/image recovery is a challenging topic that has captured a great interest during
the last decades, especially in the biomedical field. Many techniques generally try to …

On exact lq denoising

G Marjanovic, V Solo - 2013 IEEE International Conference on …, 2013 - ieeexplore.ieee.org
Recently, a lot of attention has been given to penalized least squares problem formulations
for sparse signal reconstruction in the presence of noise. The penalty is responsible for …

A new smoothed l0 regularization approach for sparse signal recovery

J Xiang, H Yue, X Yin, L Wang - Mathematical Problems in …, 2019 - Wiley Online Library
Sparse signal reconstruction, as the main link of compressive sensing (CS) theory, has
attracted extensive attention in recent years. The essence of sparse signal reconstruction is …

Sparse bayesian regularization using bernoulli-laplacian priors

L Chaari, JY Tourneret, H Batatia - 21st European Signal …, 2013 - ieeexplore.ieee.org
Sparse regularization has been receiving an increasing interest in the literature. Two main
difficulties are encountered when performing sparse regularization. The first one is how to fix …

Adaptive support-driven Bayesian reweighted algorithm for sparse signal recovery

J Li, W Zhou, C Cheng - Signal, Image and Video Processing, 2021 - Springer
This paper presents an adaptive support-driven Bayesian reweighted algorithm based on
shrinkage thresholding, for large-scale sparse signal recovery. The proposed algorithm is …

Accelerated Schemes for the Minimization

C Wang, M Yan, Y Rahimi, Y Lou - IEEE Transactions on Signal …, 2020 - ieeexplore.ieee.org
In this paper, we consider the L 1/L 2 minimization for sparse recovery and study its
relationship with the L 1-αL 2 model. Based on this relationship, we propose three numerical …

Approximating the zero-norm penalized sparse signal recovery using a hierarchical Bayesian framework

Z Bai, J Zhang, L Shi, MG Christensen - Signal Processing, 2024 - Elsevier
Sparse Bayesian learning (SBL) with its self-regulation and uncertainty estimation features,
has become a popular topic in the field of sparse signal recovery. However, it is a …

Efficient joint Poisson-Gauss restoration using multi-frame l2-relaxed-l0 analysis-based sparsity

E Gil-Rodrigo, J Portilla, D Miraut… - 2011 18th IEEE …, 2011 - ieeexplore.ieee.org
Recently we proposed an efficient technique based on analysis-based sparsity in tight
frames to restore images affected by shift-invariant blur and additive white Gaussian noise …