75 citations · 320 across the 31 of their papers we have counts for
5 papers · 1 filter
CMB map restoration
J. Bobin, J. -L. Starck, F. Sureau +1
Estimating the cosmological microwave background is of utmost importance for cosmology. However, its estimation from full-sky surveys such as WMAP or more recently Planck is challe…
The degrees of freedom of the Lasso for general design matrix
Charles Dossal, Maher Kachour, Jalal M. Fadili +2
In this paper, we investigate the degrees of freedom ($\dof$) of penalized minimization (also known as the Lasso) for linear regression models. We give a closed-form expre…
Robust Sparse Analysis Regularization
Samuel Vaiter, Gabriel Peyré, Charles Dossal +1
This paper investigates the theoretical guarantees of L1-analysis regularization when solving linear inverse problems. Most of previous works in the literature have mainly focused…
Deconvolution under Poisson noise using exact data fidelity and synthesis or analysis sparsity priors
François-Xavier Dupé, Jalal Fadili, Jean-Luc Starck
In this paper, we propose a Bayesian MAP estimator for solving the deconvolution problems when the observations are corrupted by Poisson noise. Towards this goal, a proper data fid…
Linear inverse problems with noise: primal and primal-dual splitting
François-Xavier Dupé, Jalal Fadili, Jean-Luc Starck
In this paper, we propose two algorithms for solving linear inverse problems when the observations are corrupted by noise. A proper data fidelity term (log-likelihood) is introduce…