Sliced-Wasserstein Distances and Flows on Cartan-Hadamard Manifolds
Bonet, Drumetz, and Courty from ENSAE, IMT Atlantique, and Universite Bretagne Sud extend the Sliced-Wasserstein distance to Cartan-Hadamard manifolds, covering hyperbolic spaces and symmetric positive definite matrices with both geodesic and horospherical projections, then prove theoretical guarantees and derive non-parametric…
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