322 citations · 1.3k across the 48 of their papers we have counts for
49 papers
Sinkhorn algorithms for entropic vector quantile regression
Kengo Kato, Boyu Wang
Vector quantile regression (VQR) is an optimal transport (OT)-based framework that extends linear quantile regression to vector-valued response variables and can be formulated as a…
Entropic Gromov-Wasserstein Distances: Stability and Algorithms
Gabriel Rioux, Ziv Goldfeld, Kengo Kato
The Gromov-Wasserstein (GW) distance quantifies discrepancy between metric measure spaces and provides a natural framework for aligning heterogeneous datasets. Alas, as exact compu…
Stability and statistical inference for semidiscrete optimal transport maps
Ritwik Sadhu, Ziv Goldfeld, Kengo Kato
We study statistical inference for the optimal transport (OT) map (also known as the Brenier map) from a known absolutely continuous reference distribution onto an unknown finitely…
Limit distribution theory for -Divergences
Sreejith Sreekumar, Ziv Goldfeld, Kengo Kato
-divergences, which quantify discrepancy between probability distributions, are ubiquitous in information theory, machine learning, and statistics. While there are numerous meth…
Statistical, Robustness, and Computational Guarantees for Sliced Wasserstein Distances
Sloan Nietert, Ritwik Sadhu, Ziv Goldfeld +1
Sliced Wasserstein distances preserve properties of classic Wasserstein distances while being more scalable for computation and estimation in high dimensions. The goal of this work…
Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn Divergence
Ziv Goldfeld, Kengo Kato, Gabriel Rioux +1
We study limit theorems for entropic optimal transport (EOT) maps, dual potentials, and the Sinkhorn divergence. The key technical tool we use is a first and second-order Hadamard…