190 citations · 260 across the 16 of their papers we have counts for
3 papers · 2 filters
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…
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…
Handling convexity-like constraints in variational problems
Quentin Mérigot, Edouard Oudet
We provide a general framework to construct finite dimensional approximations of the space of convex functions, which also applies to the space of c-convex functions and to the spa…