322 citations · 1.3k across the 48 of their papers we have counts for
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Limit distribution theory for smooth -Wasserstein distances
Ziv Goldfeld, Kengo Kato, Sloan Nietert +1
The Wasserstein distance is a metric on a space of probability measures that has seen a surge of applications in statistics, machine learning, and applied mathematics. However, sta…
Comparison and anti-concentration bounds for maxima of Gaussian random vectors
Victor Chernozhukov, Denis Chetverikov, Kengo Kato
Slepian and Sudakov-Fernique type inequalities, which compare expectations of maxima of Gaussian random vectors under certain restrictions on the covariance matrices, play an impor…
Gaussian approximation of suprema of empirical processes
Victor Chernozhukov, Denis Chetverikov, Kengo Kato
This paper develops a new direct approach to approximating suprema of general empirical processes by a sequence of suprema of Gaussian processes, without taking the route of approx…