no code implementations • 13 Feb 2024 • Daniel Paulin, Peter A. Whalley
A method for analyzing non-asymptotic guarantees of numerical discretizations of ergodic SDEs in Wasserstein-2 distance is presented by Sanz-Serna and Zygalakis in ``Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations".
no code implementations • 8 Nov 2023 • Neil K. Chada, Benedict Leimkuhler, Daniel Paulin, Peter A. Whalley
We exhibit similar bounds using both approximate and stochastic gradients, and our method's computational cost is shown to scale logarithmically with the size of the dataset.