HAL (France)
open access
Sliced and Hierarchical Wasserstein Geometries : Gradient Flows and Variational Analysis
In this thesis, we analyze the geometry induced by two variants of the Wasserstein distance in optimal transport: the Sliced-Wasserstein distance, and the Wasserstein over Wasserstein distance. In the first part of this thesis, we focus on the Sliced-Wasserstein distance, and we examine the converge
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