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math.ST2026
Wasserstein Concentration of Empirical Measures for Dependent Data via the Method of Moments
Arash A. Amini, Luciano Vinas
We establish a general concentration result for the 1-Wasserstein distance between the empirical measure of a sequence of random variables and its expectation. Unlike standard resu…
math.ST2023
Step and Smooth Decompositions as Topological Clustering
Luciano Vinas, Arash A. Amini
We investigate a class of recovery problems for which observations are a noisy combination of continuous and step functions. These problems can be seen as non-injective instances o…