Generalized Sliced Wasserstein Distances

Soheil Kolouri, Kimia Nadjahi, Umut Simsekli, Roland Badeau, Gustavo Rohde

Neural Information Processing Systems 

Inthis paper,wefirst clarify themathematical connection between the SW distance and the Radon transform. We then utilize the generalized Radon transform to define a new family of distances for probability measures, which we call generalized sliced-Wasserstein (GSW) distances.

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