Talks

2024

In this talk, we insist on the concept of nonnegative cross-curvature and its synthetic definition for a general cost on a product …

2023

In this talk, we study the gradient flow with respect to the Wasserstein metric of the Maximum Mean Discrepancy associated with the …

In this talk, we present our use of the conic formulation first proposed by Liero, Mielke and Savaré, in different applications related …

In this talk, we present two open problems on which we have partial results. The first problem is related to Wasserstein gradient flows …

This talk has two parts. In the first part, we study the existence of Monge maps as optimizer of the standard Gromov-Wasserstein …

This talk has two parts. First we present a possible extension of the Gromov-Wasserstein problem to the setting of metric measures …

This talk has two parts. First we present a possible extension of the Gromov-Wasserstein problem to the setting of metric measures …

2022

We show how to break the curse of dimension for the estimation of optimal transport distance between two smooth distributions for the …

In this talk, I present two very different applications related by the simple idea of invertible transformations. - The first topic is …

I explain the formulation of the Wasserstein-Fisher-Rao distance, introduced a few years ago as the natural extension of the …

This talk contains two parts. The second part present a generalization of the Gromov-Wasserstein distances to the space of unbalanced …

2021

We show how to break the curse of dimension for the estimation of optimal transport distance between two smooth distributions for the …

After presenting some background on optimal transport, we present entropic regularization, its link with the Schr”odinger problem …

I explain the formulation of the Wasserstein-Fisher-Rao distance, introduced a few years ago as the natural extension of the …

After presenting some background on optimal transport, we explain why the curse of dimensionality can be encountered in estimating …

We show how to break the curse of dimension for the estimation of optimal transport distance between two smooth distributions for the …

2017

We show the connection between the Wasserstein-Fisher-Rao metric and the Camassa-Holm (CH) equation. This allows us to prove that the …