34 citations · 212 across the 40 of their papers we have counts for
6 papers · 1 filter
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics
Jianfeng Lu, Yulong Lu, Zhennan Zhou
We investigate the continuum limit that the number of beads goes to infinity in the ring polymer representation of thermal averages. Studying the continuum limit of the trajectory…
Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance
Yu Cao, Jianfeng Lu, Yulong Lu
We study the entropy production of the sandwiched Rényi divergence under the primitive Lindblad equation with GNS-detailed balance. We prove that the Lindblad equation can be ident…
On the rate of convergence of empirical measure in Wasserstein distance for unbounded density function
Anning Liu, Jian-Guo Liu, Yulong Lu
We consider a sequence of identically independently distributed random samples from an absolutely continuous probability measure in one dimension with unbounded density. We establi…
An operator splitting scheme for the fractional kinetic Fokker-Planck equation
Manh Hong Duong, Yulong Lu
In this paper, we develop an operator splitting scheme for the fractional kinetic Fokker-Planck equation (FKFPE). The scheme consists of two phases: a fractional diffusion phase an…
Exponential decay of Rényi divergence under Fokker-Planck equations
Yu Cao, Jianfeng Lu, Yulong Lu
We prove the exponential convergence to the equilibrium, quantified by Rényi divergence, of the solution of the Fokker-Planck equation with drift given by the gradient of a strictl…
Scaling limit of the Stein variational gradient descent: the mean field regime
Jianfeng Lu, Yulong Lu, James Nolen
We study an interacting particle system in motivated by Stein variational gradient descent [Q. Liu and D. Wang, NIPS 2016], a deterministic algorithm for sampling fr…