190 citations · 260 across the 16 of their papers we have counts for
6 papers · 1 filter
On the numerical approximation of Blaschke-Santaló diagrams using Centroidal Voronoi Tessellations
Beniamin Bogosel, Giuseppe Buttazzo, Edouard Oudet
Identifying Blaschke-Santaló diagrams is an important topic that essentially consists in determining the image of a map , where the dimension of the…
Numerical computation of the cut locus via a variational approximation of the distance function
François Générau, Édouard Oudet, Bozhidar Velichkov
We propose a new method for the numerical computation of the cut locus of a compact submanifold of without boundary. This method is based on a convex variational pro…
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…
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…