127 citations · 303 across the 20 of their papers we have counts for
22 papers
Constrained Approximate Optimal Transport Maps
Eloi Tanguy, Agnès Desolneux, Julie Delon
We investigate finding a map within a function class that minimises an Optimal Transport (OT) cost between a target measure and the image by of a source measure …
Gromov-Wasserstein-like Distances in the Gaussian Mixture Models Space
Antoine Salmona, Julie Delon, Agnès Desolneux
The Gromov-Wasserstein (GW) distance is frequently used in machine learning to compare distributions across distinct metric spaces. Despite its utility, it remains computationally…
Properties of Discrete Sliced Wasserstein Losses
Eloi Tanguy, Rémi Flamary, Julie Delon
The Sliced Wasserstein (SW) distance has become a popular alternative to the Wasserstein distance for comparing probability measures. Widespread applications include image processi…
Wasserstein Dictionaries of Persistence Diagrams
Keanu Sisouk, Julie Delon, Julien Tierny
This paper presents a computational framework for the concise encoding of an ensemble of persistence diagrams, in the form of weighted Wasserstein barycenters [100], [102] of a dic…
Reconstructing discrete measures from projections. Consequences on the empirical Sliced Wasserstein Distance
Eloi Tanguy, Rémi Flamary, Julie Delon
This paper deals with the reconstruction of a discrete measure on from the knowledge of its pushforward measures by linear applications $P_i: \mathb…
Video Restoration with a Deep Plug-and-Play Prior
Antoine Monod, Julie Delon, Matias Tassano +1
This paper presents a novel method for restoring digital videos via a Deep Plug-and-Play (PnP) approach. Under a Bayesian formalism, the method consists in using a deep convolution…