81 citations · 372 across the 27 of their papers we have counts for
3 papers · 1 filter
Continuum of coupled Wasserstein gradient flows
Clément Cancès, Daniel Matthes, Ismael Medina +1
We study a system of drift-diffusion PDEs for a potentially infinite number of incompressible phases, subject to a joint pointwise volume constraint. Our analysis is based on the i…
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows
Guillaume Carlier, Vincent Duval, Gabriel Peyré +1
Replacing positivity constraints by an entropy barrier is popular to approximate solutions of linear programs. In the special case of the optimal transport problem, this technique…
An Interpolating Distance between Optimal Transport and Fisher-Rao
Lenaic Chizat, Bernhard Schmitzer, Gabriel Peyré +1
This paper defines a new transport metric over the space of non-negative measures. This metric interpolates between the quadratic Wasserstein and the Fisher-Rao metrics and general…