Bingyao Wu

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math.PR2025

Convergence rates for the $p$ -Wasserstein distance of the empirical measures of an ergodic Markov process

RenÃ© L. Schilling, Jian Wang, Bingyao Wu +1

Let $X := (X_{t})_{t \geq 0}$ be an ergodic Markov process on $ℜ^{d}$ , and $p > 0$ . We derive upper bounds of the $p$ -Wasserstein distance between the invariant measure and the empirica…

math.PR2024

Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of ${n I^\pm}$

Bingyao Wu, Jie-Xiang Zhu

Fix an irrational number $I^\pm$ . Let $X_{1}, X_{2}, \dots$ be independent, identically distributed, integer-valued random variables with characteristic function $I ¨ $ , and let $S_n=\sum_{i…

math.PR2024

Sharp $L^{q}$ -Convergence Rate in $p$ -Wasserstein Distance for Empirical Measures of Diffusion Processes

Feng-Yu Wang, Bingyao Wu, Jie-Xiang Zhu

For a class of (non-symmetric) diffusion processes on a length space, which in particular include the (reflecting) diffusion processes on a connected compact Riemannian manifold, t…

Convergence rates for the p-Wasserstein distance of the empirical measures of an ergodic Markov process

Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of {nI^±}

Sharp Lq-Convergence Rate in p-Wasserstein Distance for Empirical Measures of Diffusion Processes

Convergence rates for the $p$ -Wasserstein distance of the empirical measures of an ergodic Markov process

Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of ${n I^\pm}$

Sharp $L^{q}$ -Convergence Rate in $p$ -Wasserstein Distance for Empirical Measures of Diffusion Processes