366 citations · 1.8k across the 46 of their papers we have counts for
4 papers · 1 filter
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…
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…
A Panorama on Multiscale Geometric Representations, Intertwining Spatial, Directional and Frequency Selectivity
Laurent Jacques, Laurent Duval, Caroline Chaux +1
The richness of natural images makes the quest for optimal representations in image processing and computer vision challenging. The latter observation has not prevented the design…
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…