366 citations · 1.8k across the 46 of their papers we have counts for
7 papers · 1 filter
Multi-dimensional Sparse Super-resolution
Clarice Poon, Gabriel Peyré
This paper studies sparse super-resolution in arbitrary dimensions. More precisely, it develops a theoretical analysis of support recovery for the so-called BLASSO method, which is…
Optimal Transport for Diffeomorphic Registration
Jean Feydy, Benjamin Charlier, François-Xavier Vialard +1
This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in…
Iterative Bregman Projections for Regularized Transportation Problems
Jean-David Benamou, Guillaume Carlier, Marco Cuturi +2
This article details a general numerical framework to approximate so-lutions to linear programs related to optimal transport. The general idea is to introduce an entropic regulariz…
Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14)
L. Jacques, C. De Vleeschouwer, Y. Boursier +64
The implicit objective of the biennial "international - Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST) is to foster collaboration between interna…
Piecewise rigid curve deformation via a Finsler steepest descent
Guillaume Charpiat, Giacomo Nardi, Gabriel Peyré +1
This paper introduces a novel steepest descent flow in Banach spaces. This extends previous works on generalized gradient descent, notably the work of Charpiat et al., to the setti…
Optimal Transport with Proximal Splitting
Nicolas Papadakis, Gabriel Peyré, Edouard Oudet
This article reviews the use of first order convex optimization schemes to solve the discretized dynamic optimal transport problem, initially proposed by Benamou and Brenier. We de…
Compressive Wave Computation
Laurent Demanet, Gabriel Peyré
This paper considers large-scale simulations of wave propagation phenomena. We argue that it is possible to accurately compute a wavefield by decomposing it onto a largely incomple…