Tag: sliced
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Repulsive Monte Carlo on the sphere for the sliced Wasserstein distance
Repulsive Monte Carlo on the sphere for the sliced Wasserstein distance arXiv:2509.10166v1 Announce Type: new Abstract: In this paper, we consider the problem of computing the integral of a function on the unit sphere, in any dimension, using Monte Carlo methods. Although the methods we present are general, our guiding thread is the sliced Wasserstein…
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An Introduction to Sliced Optimal Transport
An Introduction to Sliced Optimal Transport arXiv:2508.12519v1 Announce Type: new Abstract: Sliced Optimal Transport (SOT) is a rapidly developing branch of optimal transport (OT) that exploits the tractability of one-dimensional OT problems. By combining tools from OT, integral geometry, and computational statistics, SOT enables fast and scalable computation of distances, barycenters, and kernels for probability…