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04/05/2023
Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities
We present simple randomized and exchangeable improvements of Markov's i...
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08/04/2022
Background Modeling for Double Higgs Boson Production: Density Ratios and Optimal Transport
We study the problem of data-driven background estimation, arising in th...
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02/17/2022
Refined Convergence Rates for Maximum Likelihood Estimation under Finite Mixture Models
We revisit convergence rates for maximum likelihood estimation (MLE) und...
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07/26/2021
Plugin Estimation of Smooth Optimal Transport Maps
We analyze a number of natural estimators for the optimal transport map ...
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06/24/2021
Sharp Convergence Rates for Empirical Optimal Transport with Smooth Costs
We revisit the question of characterizing the convergence rate of plug-i...
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03/16/2021
Sequential Estimation of Convex Divergences using Reverse Submartingales and Exchangeable Filtrations
We present a unified technique for sequential estimation of convex diver...
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06/01/2020
Uniform Convergence Rates for Maximum Likelihood Estimation under Two-Component Gaussian Mixture Models
We derive uniform convergence rates for the maximum likelihood estimator...
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05/24/2020
Estimating the Number of Components in Finite Mixture Models via the Group-Sort-Fuse Procedure
Estimation of the number of components (or order) of a finite mixture mo...
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09/17/2019
