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math.PR2021★ 1 cited
Generalized Wasserstein barycenters between probability measures living on different subspaces
Julie Delon, Nathaël Gozlan, Alexandre Saint-Dizier
In this paper, we introduce a generalization of the Wasserstein barycenter, to a case where the initial probability measures live on different subspaces of R^d. We study the existe…
math.PR2021★ 7 cited
Gromov-Wasserstein Distances between Gaussian Distributions
Antoine Salmona, Julie Delon, Agnès Desolneux
The Gromov-Wasserstein distances were proposed a few years ago to compare distributions which do not lie in the same space. In particular, they offer an interesting alternative to…