366 citations · 967 across the 53 of their papers we have counts for
5 papers · 1 filter
Sparse Support Recovery with Non-smooth Loss Functions
Kévin Degraux, Gabriel Peyré, Jalal M. Fadili +1
In this paper, we study the support recovery guarantees of underdetermined sparse regression using the -norm as a regularizer and a non-smooth loss function for data fideli…
Stable Recovery with Analysis Decomposable Priors
M. J. Fadili, G. Peyré, S. Vaiter +2
In this paper, we investigate in a unified way the structural properties of solutions to inverse problems. These solutions are regularized by the generic class of semi-norms define…
Robust Polyhedral Regularization
Samuel Vaiter, Gabriel Peyré, Jalal Fadili
In this paper, we establish robustness to noise perturbations of polyhedral regularization of linear inverse problems. We provide a sufficient condition that ensures that the polyh…
Stabilizing Nonuniformly Quantized Compressed Sensing with Scalar Companders
L. Jacques, D. K. Hammond, M. J. Fadili
This paper studies the problem of reconstructing sparse or compressible signals from compressed sensing measurements that have undergone nonuniform quantization. Previous approache…
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…