Tag: wasserstein
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Accelerated Regularized Wasserstein Proximal Sampling Algorithms
Accelerated Regularized Wasserstein Proximal Sampling Algorithms arXiv:2601.09848v1 Announce Type: new Abstract: We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles, we consider a second-order score-based ODE, similar to Nesterov acceleration. In contrast to traditional kernel density score…
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Neural Local Wasserstein Regression
Neural Local Wasserstein Regression arXiv:2511.10824v1 Announce Type: new Abstract: We study the estimation problem of distribution-on-distribution regression, where both predictors and responses are probability measures. Existing approaches typically rely on a global optimal transport map or tangent-space linearization, which can be restrictive in approximation capacity and distort geometry in multivariate underlying domains. In this paper,…
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Minimax-Optimal Two-Sample Test with Sliced Wasserstein
Minimax-Optimal Two-Sample Test with Sliced Wasserstein arXiv:2510.27498v1 Announce Type: new Abstract: We study the problem of nonparametric two-sample testing using the sliced Wasserstein (SW) distance. While prior theoretical and empirical work indicates that the SW distance offers a promising balance between strong statistical guarantees and computational efficiency, its theoretical foundations for hypothesis testing remain limited.…
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Fast Estimation of Wasserstein Distances via Regression on Sliced Wasserstein Distances
Fast Estimation of Wasserstein Distances via Regression on Sliced Wasserstein Distances arXiv:2509.20508v1 Announce Type: new Abstract: We address the problem of efficiently computing Wasserstein distances for multiple pairs of distributions drawn from a meta-distribution. To this end, we propose a fast estimation method based on regressing Wasserstein distance on sliced Wasserstein (SW) distances. Specifically, we…
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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 in depth look at the Procrustes-Wasserstein distance: properties and barycenters
An in depth look at the Procrustes-Wasserstein distance: properties and barycenters arXiv:2507.00894v1 Announce Type: new Abstract: Due to its invariance to rigid transformations such as rotations and reflections, Procrustes-Wasserstein (PW) was introduced in the literature as an optimal transport (OT) distance, alternative to Wasserstein and more suited to tasks such as the alignment and comparison…
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On the Wasserstein Geodesic Principal Component Analysis of probability measures
On the Wasserstein Geodesic Principal Component Analysis of probability measures arXiv:2506.04480v1 Announce Type: new Abstract: This paper focuses on Geodesic Principal Component Analysis (GPCA) on a collection of probability distributions using the Otto-Wasserstein geometry. The goal is to identify geodesic curves in the space of probability measures that best capture the modes of variation of…
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Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions
Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions arXiv:2503.16580v1 Announce Type: new Abstract: We introduce a modified Benamou-Brenier type approach leading to a Wasserstein type distance that allows global invariance, specifically, isometries, and we show that the problem can be summarized to orthogonal transformations. This distance is defined by penalizing…