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[HTML][HTML] On wasserstein two-sample testing and related families of nonparametric tests
Nonparametric two-sample or homogeneity testing is a decision theoretic problem that
involves identifying differences between two random variables without making parametric …
involves identifying differences between two random variables without making parametric …
Distribution's template estimate with Wasserstein metrics
E Boissard, T Le Gouic, JM Loubes - 2015 - projecteuclid.org
In this paper, we tackle the problem of comparing distributions of random variables and
defining a mean pattern between a sample of random events. Using barycenters of …
defining a mean pattern between a sample of random events. Using barycenters of …
On robust optimal transport: Computational complexity and barycenter computation
We consider robust variants of the standard optimal transport, named robust optimal
transport, where marginal constraints are relaxed via Kullback-Leibler divergence. We show …
transport, where marginal constraints are relaxed via Kullback-Leibler divergence. We show …
[HTML][HTML] Limit laws of the empirical Wasserstein distance: Gaussian distributions
We derive central limit theorems for the Wasserstein distance between the empirical
distributions of Gaussian samples. The cases are distinguished whether the underlying laws …
distributions of Gaussian samples. The cases are distinguished whether the underlying laws …
Minimax confidence intervals for the sliced Wasserstein distance
Motivated by the growing popularity of variants of the Wasserstein distance in statistics and
machine learning, we study statistical inference for the Sliced Wasserstein distance—an …
machine learning, we study statistical inference for the Sliced Wasserstein distance—an …
Distribution of distances based object matching: Asymptotic inference
In this article, we aim to provide a statistical theory for object matching based on a lower
bound of the Gromov-Wasserstein distance related to the distribution of (pairwise) distances …
bound of the Gromov-Wasserstein distance related to the distribution of (pairwise) distances …
Detecting relevant changes in the mean of nonstationary processes—a mass excess approach
This paper considers the problem of testing if a sequence of means (μt) t= 1,..., n of a
nonstationary time series (Xt) t= 1,..., n is stable in the sense that the difference of the means …
nonstationary time series (Xt) t= 1,..., n is stable in the sense that the difference of the means …
Interpoint distance based two sample tests in high dimension
Interpoint distance based two sample tests in high dimension Page 1 Bernoulli 27(2), 2021,
1189–1211 https://doi.org/10.3150/20-BEJ1270 Interpoint distance based two sample tests in …
1189–1211 https://doi.org/10.3150/20-BEJ1270 Interpoint distance based two sample tests in …
Uniqueness and approximate computation of optimal incomplete transportation plans
Uniqueness and approximate computation of optimal incomplete transportation plans Page 1
www.imstat.org/aihp Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 2011 …
www.imstat.org/aihp Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 2011 …
On approximate validation of models: a Kolmogorov–Smirnov-based approach
Classical tests of fit typically reject a model for large enough real data samples. In contrast,
often in statistical practice, a model offers a good description of the data even though it is not …
often in statistical practice, a model offers a good description of the data even though it is not …