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05/31/2023
Entropic Gromov-Wasserstein Distances: Stability, Algorithms, and Distributional Limits
The Gromov-Wasserstein (GW) distance quantifies discrepancy between metr...
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03/17/2023
Limit theorems for semidiscrete optimal transport maps
We study statistical inference for the optimal transport (OT) map (also ...
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11/21/2022
Limit distribution theory for f-Divergences
f-divergences, which quantify discrepancy between probability distributi...
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10/17/2022
Statistical, Robustness, and Computational Guarantees for Sliced Wasserstein Distances
Sliced Wasserstein distances preserve properties of classic Wasserstein ...
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07/18/2022
Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn Divergence
We study limit theorems for entropic optimal transport (EOT) maps, dual ...
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05/19/2022
High-dimensional Data Bootstrap
This article reviews recent progress in high-dimensional bootstrap. We f...
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05/09/2022
Statistical inference with regularized optimal transport
Optimal transport (OT) is a versatile framework for comparing probabilit...
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03/01/2022
Limit distribution theory for smooth p-Wasserstein distances
The Wasserstein distance is a metric on a space of probability measures ...
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07/28/2021
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications
The smooth 1-Wasserstein distance (SWD) W_1^σ was recently proposed as a...
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03/19/2021
Gaussian approximation and spatially dependent wild bootstrap for high-dimensional spatial data
In this paper, we establish a high-dimensional CLT for the sample mean o...
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02/12/2021
Linear programming approach to nonparametric inference under shape restrictions: with an application to regression kink designs
We develop a novel method of constructing confidence bands for nonparame...
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01/11/2021
From Smooth Wasserstein Distance to Dual Sobolev Norm: Empirical Approximation and Statistical Applications
Statistical distances, i.e., discrepancy measures between probability di...
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09/10/2020
Inference for high-dimensional exchangeable arrays
We consider inference for high-dimensional exchangeable arrays where the...
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06/01/2020
Pivotal bootstrap for quantile-based modal regression
In this paper, we develop uniform inference methods for the conditional ...
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03/20/2020
Stratified incomplete local simplex tests for curvature of nonparametric multiple regression
Principled nonparametric tests for regression curvature in R^d are often...
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02/03/2020
Limit Distribution for Smooth Total Variation and χ^2-Divergence in High Dimensions
Statistical divergences are ubiquitous in machine learning as tools for ...
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02/03/2020
Limit Distribution Theory for Smooth Wasserstein Distance with Applications to Generative Modeling
The 1-Wasserstein distance (W_1) is a popular proximity measure between ...
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12/22/2019
Improved Central Limit Theorem and bootstrap approximations in high dimensions
This paper deals with the Gaussian and bootstrap approximations to the d...
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10/21/2019
Berry-Esseen bounds for Chernoff-type non-standard asymptotics in isotonic regression
This paper derives Berry-Esseen bounds for an important class of non-sta...
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08/08/2019
Analysis of Networks via the Sparse β-Model
Data in the form of networks are increasingly available in a variety of ...
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01/04/2019
Approximating high-dimensional infinite-order U-statistics: statistical and computational guarantees
We study the problem of distributional approximations to high-dimensiona...
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11/13/2018
Quantile regression approach to conditional mode estimation
In this paper, we consider estimation of the conditional mode of an outc...
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06/05/2018
High-Dimensional Econometrics and Regularized GMM
This chapter presents key concepts and theoretical results for analyzing...
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06/05/2018
High-Dimensional Econometrics and Generalized GMM
This chapter presents key concepts and theoretical results for analyzing...
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03/09/2018
On frequentist coverage errors of Bayesian credible sets in high dimensions
In this paper, we study frequentist coverage errors of Bayesian credible...
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12/03/2017
Randomized incomplete U-statistics in high dimensions
This paper studies inference for the mean vector of a high-dimensional U...
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11/29/2017