322 citations · 1.3k across the 48 of their papers we have counts for
4 papers · 1 filter
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications
Ritwik Sadhu, Ziv Goldfeld, Kengo Kato
The smooth 1-Wasserstein distance (SWD) was recently proposed as a means to mitigate the curse of dimensionality in empirical approximation while preserving the Wasserstein…
Gaussian approximation and spatially dependent wild bootstrap for high-dimensional spatial data
Daisuke Kurisu, Kengo Kato, Xiaofeng Shao
In this paper, we establish a high-dimensional CLT for the sample mean of -dimensional spatial data observed over irregularly spaced sampling sites in , allowing t…
Linear programming approach to nonparametric inference under shape restrictions: with an application to regression kink designs
Harold D. Chiang, Kengo Kato, Yuya Sasaki +1
We develop a novel method of constructing confidence bands for nonparametric regression functions under shape constraints. This method can be implemented via a linear programming,…
Smooth -Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications
Sloan Nietert, Ziv Goldfeld, Kengo Kato
Discrepancy measures between probability distributions, often termed statistical distances, are ubiquitous in probability theory, statistics and machine learning. To combat the cur…