6 citations · 8 across the 10 of their papers we have counts for
4 papers · 1 filter
Mean Square Error Analysis of Stochastic Runge-Kutta Integrators
Xuda Ye
We analyze the mean square error of stochastic Runge-Kutta integrators for overdamped Langevin dynamics whose potential is strongly convex outside a bounded region. A decomposition…
Mean square error analysis of stochastic gradient and variance-reduced sampling algorithms
Jianfeng Lu, Xuda Ye, Zhennan Zhou
This paper considers mean square error (MSE) analysis for stochastic gradient sampling algorithms applied to underdamped Langevin dynamics under a global convexity assumption. A no…
Statistical Error of Numerical Integrators for Underdamped Langevin Dynamics with Deterministic And Stochastic Gradients
Xuda Ye, Zhennan Zhou
We propose a novel discrete Poisson equation approach to estimate the statistical error of a broad class of numerical integrators for the underdamped Langevin dynamics. The statist…
Dimension-free Ergodicity of Path Integral Molecular Dynamics
Xuda Ye, Zhennan Zhou
The quantum thermal average plays a central role in describing the thermodynamic properties of a quantum system. Path integral molecular dynamics (PIMD) is a prevailing approach fo…