1 citations · 2 across the 5 of their papers we have counts for
5 papers
Convergence rates for the -Wasserstein distance of the empirical measures of an ergodic Markov process
René L. Schilling, Jian Wang, Bingyao Wu +1
Let be an ergodic Markov process on , and . We derive upper bounds of the -Wasserstein distance between the invariant measure and the empirica…
Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of
Bingyao Wu, Jie-Xiang Zhu
Fix an irrational number . Let be independent, identically distributed, integer-valued random variables with characteristic function , and let $S_n=\sum_{i=1…
Wasserstein asymptotics for empirical measures of diffusions on four dimensional closed manifolds
Dario Trevisan, Feng-Yu Wang, Jie-Xiang Zhu
We identify the leading term in the asymptotics of the quadratic Wasserstein distance between the invariant measure and empirical measures for diffusion processes on closed weighte…
Sharp -Convergence Rate in -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…
Asymptotic behavior of Wasserstein distance for weighted empirical measures of diffusion processes on compact Riemannian manifolds
Jie-Xiang Zhu
Let be a diffusion process defined on a compact Riemannian manifold, and for , let $$ μ_t^{(α)} = \fracα{t^α} \int_{0}^{t} δ_{X_s} \, s^{α- 1} \mathrm{d} s…