Kengo Kato

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20112026

most citedGaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors

322 citations · 1.3k across the 48 of their papers we have counts for

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Showing 2021 · math.STShow all

3 papers · 2 filters

math.ST2021★ 8 cited

Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications

Ritwik Sadhu, Ziv Goldfeld, Kengo Kato

The smooth 1-Wasserstein distance (SWD) $W_{1}^{σ}$ was recently proposed as a means to mitigate the curse of dimensionality in empirical approximation while preserving the Wasserstein…

math.ST2021

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 $p$ -dimensional spatial data observed over irregularly spaced sampling sites in $R^{d}$ , allowing t…

math.ST2021★ 8 cited

Smooth $p$ -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…

Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications

Gaussian approximation and spatially dependent wild bootstrap for high-dimensional spatial data

Smooth p-Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications

Smooth $p$ -Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications