Web: http://arxiv.org/abs/2206.08780

June 20, 2022, 1:10 a.m. | Clément Bonet, Paul Berg, Nicolas Courty, François Septier, Lucas Drumetz, Minh-Tan Pham

cs.LG updates on arXiv.org arxiv.org

Many variants of the Wasserstein distance have been introduced to reduce its
original computational burden. In particular the Sliced-Wasserstein distance
(SW), which leverages one-dimensional projections for which a closed-form
solution of the Wasserstein distance is available, has received a lot of
interest. Yet, it is restricted to data living in Euclidean spaces, while the
Wasserstein distance has been studied and used recently on manifolds. We focus
more specifically on the sphere, for which we define a novel SW discrepancy,
which …

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