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math.ST2022★ 1 cited
Asymptotics of smoothed Wasserstein distances in the small noise regime
Yunzi Ding, Jonathan Niles-Weed
We study the behavior of the Wasserstein- distance between discrete measures and in when both measures are smoothed by small amounts of Gaussian noise. Th…
math.ST2022★ 5 cited
An improved central limit theorem and fast convergence rates for entropic transportation costs
Eustasio del Barrio, Alberto Gonzalez-Sanz, Jean-Michel Loubes +1
We prove a central limit theorem for the entropic transportation cost between subgaussian probability measures, centered at the population cost. This is the first result which allo…