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math.ST2021★ 4 cited
A short proof on the rate of convergence of the empirical measure for the Wasserstein distance
Vincent Divol
We provide a short proof that the Wasserstein distance between the empirical measure of a n-sample and the estimated measure is of order n^-(1/d), if the measure has a lower and up…
math.ST2020
Minimax adaptive estimation in manifold inference
Vincent Divol
We focus on the problem of manifold estimation: given a set of observations sampled close to some unknown submanifold , one wants to recover information about the geometry of $M…