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2024
Synthetic nonnegative cross-curvature lifts to the Wasserstein space.
In this talk, we insist on the concept of nonnegative cross-curvature and its synthetic definition for a general cost on a product …
Feb 6, 2024 9:45 AM
MFO, Oberwolfach.
2023
On the global convergence of the Wasserstein gradient ow of Coulomb discrepancies.
In this talk, we study the gradient flow with respect to the Wasserstein metric of the Maximum Mean Discrepancy associated with the …
Nov 6, 2023 9:45 AM
Banff, Canada.
The use of conic formulation related to unbalanced optimal transport: regularity, the Camassa-Holm equation and its relaxation, unbalanced Gromov-Wasserstein.
In this talk, we present our use of the conic formulation first proposed by Liero, Mielke and Savaré, in different applications related …
Oct 11, 2023 11:30 AM
Variational and Geometric workshop: Alexander Mielke's birthday, Levico.
On two open problems related to optimal transport
In this talk, we present two open problems on which we have partial results. The first problem is related to Wasserstein gradient flows …
Jul 18, 2023 11:30 AM
Shape analysis workshop, Nice.
On the Gromov-Wasserstein problem, existence of Monge maps. On a statistical estimation of smooth optimal transport.
This talk has two parts. In the first part, we study the existence of Monge maps as optimizer of the standard Gromov-Wasserstein …
May 19, 2023 11:30 AM
FoCM conference, Paris.
On the Gromov-Wasserstein problem, existence of Monge maps and Unbalanced Gromov-Wasserstein
This talk has two parts. First we present a possible extension of the Gromov-Wasserstein problem to the setting of metric measures …
Feb 17, 2023 11:30 AM
SAMMS, Paris 1 University.
On the Gromov-Wasserstein problem, existence of Monge maps and Unbalanced Gromov-Wasserstein
This talk has two parts. First we present a possible extension of the Gromov-Wasserstein problem to the setting of metric measures …
Feb 14, 2023 2:00 PM
Ohio State University, online.
2022
Statistical estimation of optimal transport potentials
We show how to break the curse of dimension for the estimation of optimal transport distance between two smooth distributions for the …
Jun 1, 2022 6:00 PM
Limoges
A. Vacher
,
B. Muzellec
,
A. Rudi
,
F. Bach
Implicit regularization by inverse consistency for image registration and a result on global convergence of mean field ResNets
In this talk, I present two very different applications related by the simple idea of invertible transformations. - The first topic is …
Jun 1, 2022 2:00 PM
Cambridge online.
H. Greer M. Niethammer R. Kwitt (first part)
,
G. Peyré R. Barboni (second part)
A review of unbalanced optimal transport and the corresponding relaxation of Camassa-Holm variational solutions
I explain the formulation of the Wasserstein-Fisher-Rao distance, introduced a few years ago as the natural extension of the …
Apr 13, 2022 2:00 PM
Max Planck Institute in Leipzig
L. Chizat
,
T. Gallouët
,
A. Natale
,
G. Peyré
,
B. Schmitzer
Statistical estimation of optimal transport distances and an extension of Gromov-Wasserstein distance to an unbalanced setting.
This talk contains two parts. The second part present a generalization of the Gromov-Wasserstein distances to the space of unbalanced …
Feb 3, 2022 2:00 PM
Autrans
A. Vacher B. Muzellec A. Rudi F. Bach (first part) G. Peyré T. Séjourné (second part)
2021
Breaking the curse of dimension in smooth optimal transport
We show how to break the curse of dimension for the estimation of optimal transport distance between two smooth distributions for the …
Oct 22, 2021 10:15 AM
Marseille.
A focus on Sinkhorn algorithm, an improvement in the unbalanced setting, and the curse of dimension.
After presenting some background on optimal transport, we present entropic regularization, its link with the Schr”odinger problem …
Oct 21, 2021 2:00 PM
Université d'Avignon, département de mathématiques.
From unbalanced optimal transport to generalized Camassa-Holm solutions.
I explain the formulation of the Wasserstein-Fisher-Rao distance, introduced a few years ago as the natural extension of the …
May 4, 2021 2:00 PM
U. of Toronto, online
Statistical estimation of optimal transport
After presenting some background on optimal transport, we explain why the curse of dimensionality can be encountered in estimating …
Apr 9, 2021 1:00 PM
U. of Ottawa, online.
Breaking (*) the curse of dimension in smooth optimal transport
We show how to break the curse of dimension for the estimation of optimal transport distance between two smooth distributions for the …
Feb 21, 2021 11:00 AM
Oberwolfach, online.
2017
Darryl Holm's 70th birthday, The Camassa-Holm equation as an incompressible Euler equation
We show the connection between the Wasserstein-Fisher-Rao metric and the Camassa-Holm (CH) equation. This allows us to prove that the …
Jul 28, 2017 2:00 PM
Madrid, ICMAT
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