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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.ST2024
Network two-sample test for block models
Chung Kyong Nguen, Oscar Hernan Madrid Padilla, Arash A. Amini
We consider the two-sample testing problem for networks, where the goal is to determine whether two sets of networks originated from the same stochastic model. Assuming no vertex c…
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…