104 citations · 519 across the 26 of their papers we have counts for
3 papers · 1 filter
Scaling Algorithms for Unbalanced Transport Problems
Lenaic Chizat, Gabriel Peyré, Bernhard Schmitzer +1
This article introduces a new class of fast algorithms to approximate variational problems involving unbalanced optimal transport. While classical optimal transport considers only…
Local Convergence Properties of Douglas--Rachford and ADMM
Jingwei Liang, Jalal Fadili, Gabriel Peyré
The Douglas--Rachford (DR) and alternating direction method of multipliers (ADMM) are two proximal splitting algorithms designed to minimize the sum of two proper lower semi-contin…
Geometric properties of solutions to the total variation denoising problem
Antonin Chambolle, Vincent Duval, Gabriel Peyré +1
This article studies the denoising performance of total variation (TV) image regularization. More precisely, we study geometrical properties of the solution to the so-called Rudin-…