366 citations · 1.8k across the 46 of their papers we have counts for
6 papers · 2 filters
Activity Identification and Local Linear Convergence of Douglas--Rachford/ADMM under Partial Smoothness
Jingwei Liang, Jalal Fadili, Gabriel Peyré +1
Convex optimization has become ubiquitous in most quantitative disciplines of science, including variational image processing. Proximal splitting algorithms are becoming popular to…
Local Linear Convergence of Forward-Backward under Partial Smoothness
Jingwei Liang, Jalal Fadili, Gabriel Peyré
In this paper, we consider the Forward--Backward proximal splitting algorithm to minimize the sum of two proper convex functions, one of which having a Lipschitz continuous gradien…
Low Complexity Regularization of Linear Inverse Problems
Samuel Vaiter, Gabriel Peyré, Jalal M. Fadili
Inverse problems and regularization theory is a central theme in contemporary signal processing, where the goal is to reconstruct an unknown signal from partial indirect, and possi…
Model Consistency of Partly Smooth Regularizers
Samuel Vaiter, Gabriel Peyré, Jalal M. Fadili
This paper studies least-square regression penalized with partly smooth convex regularizers. This class of functions is very large and versatile allowing to promote solutions confo…
Convergence Rates with Inexact Non-expansive Operators
Jingwei Liang, Jalal Fadili, Gabriel Peyré
In this paper, we present a convergence rate analysis for the inexact Krasnosel'skii-Mann iteration built from nonexpansive operators. Our results include two main parts: we first…
Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics
G. Nardi, G. Peyré, F. -X. Vialard
This paper studies the space of planar curves endowed with the Finsler metric over its tangent space of displacement vector fields. Such a space is of interest for ap…