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math.ST2026
Entropic vector quantile regression: Duality and Gaussian case
Kengo Kato, Boyu Wang
Vector quantile regression (VQR) is an optimal transport (OT) problem subject to a mean-independence constraint that extends classical linear quantile regression to vector response…
math.ST2025
Convergence of empirical Gromov-Wasserstein distance
Kengo Kato, Boyu Wang
We study rates of convergence for estimation of the Gromov-Wasserstein (GW) distance. For two marginals supported on compact subsets of and , respectively, wit…