A unifying approach to distributional limits for empirical optimal transport

Cites Work

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Computational Optimal Transport: With Applications to Data Science
Regularity in Monge's mass transfer problem
On the rate of convergence in Wasserstein distance of the empirical measure
On optimal matchings
The central limit theorem around 1935
Empirical processes indexed by Lipschitz functions
Nonparametric comparison of several regression functions: Exact and asymptotic theory
On nondifferentiable functions and the bootstrap
The transportation cost from the uniform measure to the empirical measure in dimension \(\geq 3\)
Asymptotics for transportation cost in high dimensions
Invariance principles for absolutely regular empirical processes
The geometry of optimal transportation
The bootstrap for empirical processes based on stationary observations
Minkowski-type theorems and least-squares clustering
Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
Asymptotics for \(L_2\) functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
Central limit theorems for the Wasserstein distance between the empirical and the true distributions
The blockwise bootstrap for general empirical processes of stationary sequences
Weak convergence and empirical processes. With applications to statistics
Distribution and quantile functions, ranks and signs in dimension \(d\): a measure transportation approach
Multivariate goodness-of-fit tests based on Wasserstein distance
Empirical process theory for locally stationary processes
A simple Fourier analytic proof of the AKT optimal matching theorem
Entropic optimal transport: geometry and large deviations
Convergence of asymptotic costs for random Euclidean matching problems
Limit laws for empirical optimal solutions in random linear programs
Directional differentiability for supremum-type functionals: statistical applications
A central limit theorem for Wasserstein type distances between two distinct univariate distributions
Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case
Empirical optimal transport on countable metric spaces: distributional limits and statistical applications
Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
Regularity of potential functions of the optimal transportation problem
Central limit theorems for empirical transportation cost in general dimension
On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
Analytic extensions of differentiable functions defined in closed sets.
Estimation of Wasserstein distances in the spiked transport model
Combinatorial Optimization Over Two Random Point Sets
Introduction to Smooth Manifolds
A Weighted Approximation Approach to the Study of the Empirical Wasserstein Distance
Asymptotic Theory of Weakly Dependent Random Processes
Nonparametric Validation of Similar Distributions and Assessment of Goodness of Fit
Matching Theorems and Empirical Discrepancy Computations using Majorizing Measures
Inference for Empirical Wasserstein Distances on Finite Spaces
Inference on Directionally Differentiable Functions
A central limit theorem for Lp transportation cost on the real line with application to fairness assessment in machine learning
Empirical Regularized Optimal Transport: Statistical Theory and Applications
Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees
Uniform Central Limit Theorems
One-dimensional empirical measures, order statistics, and Kantorovich transport distances
Nonlinear system theory: Another look at dependence
The Speed of Mean Glivenko-Cantelli Convergence
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures
Sharp convergence rates for empirical optimal transport with smooth costs
Limit distributions and sensitivity analysis for empirical entropic optimal transport on countable spaces
An Improved Central Limit Theorem and Fast Convergence Rates for Entropic Transportation Costs
Distribution of Distances based Object Matching: Asymptotic Inference
Two-sample goodness-of-fit tests on the flat torus based on Wasserstein distance and their relevance to structural biology
Central limit theorems for semi-discrete Wasserstein distances
Limit theorems for entropic optimal transport maps and Sinkhorn divergence