50 citations · 153 across the 32 of their papers we have counts for
4 papers · 2 filters
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…
Numerical methods for matching for teams and Wasserstein barycenters
Guillaume Carlier, Adam Oberman, Edouard Oudet
Equilibrium multi-population matching (matching for teams) is a problem from mathematical economics which is related to multi-marginal optimal transport. A special but important ca…
A -Convergence Result for the Upper Bound Limit Analysis of Plates
Jérémy Bleyer, Guillaume Carlier, Vincent Duval +2
Upper bound limit analysis allows one to evaluate directly the ultimate load of structures without performing a cumbersome incremental analysis. In order to numerically apply this…
Discretization of functionals involving the Monge-Ampère operator
Jean-David Benamou, Guillaume Carlier, Quentin Mérigot +1
Gradient flows in the Wasserstein space have become a powerful tool in the analysis of diffusion equations, following the seminal work of Jordan, Kinderlehrer and Otto (JKO). The n…