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07/31/2023
Wasserstein Mirror Gradient Flow as the limit of the Sinkhorn Algorithm
We prove that the sequence of marginals obtained from the iterations of ...
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12/07/2022
LDP for Inhomogeneous U-Statistics
In this paper we derive a Large Deviation Principle (LDP) for inhomogene...
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11/30/2021
Efficiency of Regression (Un)-Adjusted Rosenbaum's Rank-based Estimator in Randomized Experiments
A completely randomized experiment allows us to estimate the causal effe...
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07/04/2021
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections
Optimal transport maps between two probability distributions μ and ν on ...
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04/30/2021
Exact Detection Thresholds for Chatterjee's Correlation
Recently, Chatterjee (2021) introduced a new rank-based correlation coef...
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04/05/2021
Efficiency Lower Bounds for Distribution-Free Hotelling-Type Two-Sample Tests Based on Optimal Transport
The Wilcoxon rank-sum test is one of the most popular distribution-free ...
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12/29/2020
Kernel Partial Correlation Coefficient – a Measure of Conditional Dependence
In this paper we propose and study a class of simple, nonparametric, yet...
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12/10/2020
Detecting Structured Signals in Ising Models
In this paper, we study the effect of dependence on detecting a class of...
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10/05/2020
Measuring Association on Topological Spaces Using Kernels and Geometric Graphs
In this paper we propose and study a class of simple, nonparametric, yet...
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09/18/2019
Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation
In this paper, we propose a general framework for distribution-free nonp...
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10/18/2018