366 citations · 967 across the 53 of their papers we have counts for
5 papers · 1 filter
Adaptive estimation of an additive regression function from weakly dependent data
Christophe Chesneau, Jalal M. Fadili, Bertrand Maillot
A -dimensional nonparametric additive regression model with dependent observations is considered. Using the marginal integration technique and wavelets methodology, we develop a…
Generalized Forward-Backward Splitting
Hugo Raguet, Jalal Fadili, Gabriel Peyré
This paper introduces the generalized forward-backward splitting algorithm for minimizing convex functions of the form , where has a Lipschitz-continuous…
Data augmentation for galaxy density map reconstruction
François-Xavier Dupé, Jalal Fadili, Jean-Luc Starck
The matter density is an important knowledge for today cosmology as many phenomena are linked to matter fluctuations. However, this density is not directly available, but estimated…
Inverse Problems with Poisson 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 Poisson noise. A proper data fidelity term (log-likelihood) is i…
Sharp Support Recovery from Noisy Random Measurements by L1 minimization
Charles Dossal, Marie-Line Chabanol, Gabriel Peyré +1
In this paper, we investigate the theoretical guarantees of penalized $\lun$ minimization (also called Basis Pursuit Denoising or Lasso) in terms of sparsity pattern recovery (supp…