12 citations · 48 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Monotone and Consistent discretization of the Monge-Ampere operator
Jean-David Benamou, Francis Collino, Jean-Marie Mirebeau
We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications. These properties are…
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…
A viscosity framework for computing Pogorelov solutions of the Monge-Ampere equation
Jean-David Benamou, Brittany D. Froese
We consider the Monge-Kantorovich optimal transportation problem between two measures, one of which is a weighted sum of Diracs. This problem is traditionally solved using expensiv…