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We provide a unifying approach to central limit type theorems for empirical optimal transport (OT).
Weak convergence of empirical Wasserstein type distances
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Asymptotics for L 2 {L}_{2} functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
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Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications
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Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
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A central limit theorem for Wasserstein type distances between two distinct univariate distributions
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Central limit theorems for general transportation costs
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Convergence of asymptotic costs for random euclidean matching problems
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The statistics of circular optimal transport
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Plugin estimation of smooth optimal transport maps
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Sharp convergence rates for empirical optimal transport with smooth costs
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On the uniqueness of Kantorovich potentials
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Colocalization for super-resolution microscopy via optimal transport
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Central limit theorems for semidiscrete Wasserstein distances
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Closest in time.
Empirical optimal transport between different measures adapts to lower complexity
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Closest in time.