34 citations · 212 across the 40 of their papers we have counts for
8 papers · 1 filter
Wall laws for viscous flows in 3D randomly rough pipes: optimal convergence rates and stochastic integrability
Mitsuo Higaki, Yulong Lu, Jinping Zhuge
This paper is concerned with effective approximations and wall laws of viscous laminar flows in 3D pipes with randomly rough boundaries. The random roughness is characterized by th…
Birth-death dynamics for sampling: Global convergence, approximations and their asymptotics
Yulong Lu, Dejan Slepčev, Lihan Wang
Motivated by the challenge of sampling Gibbs measures with nonconvex potentials, we study a continuum birth-death dynamics. We improve results in previous works [51,57] and provide…
A Regularity Theory for Static Schrödinger Equations on in Spectral Barron Spaces
Ziang Chen, Jianfeng Lu, Yulong Lu +1
Spectral Barron spaces have received considerable interest recently as it is the natural function space for approximation theory of two-layer neural networks with a dimension-free…
Quantitative Propagation of Chaos in the bimolecular chemical reaction-diffusion model
Tau Shean Lim, Yulong Lu, James Nolen
We study a stochastic system of interacting particles which models bimolecular chemical reaction-diffusion. In this model, each particle carries two attributes: the spatial…
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…
Direct and inverse scattering problem by an unbounded rough interface with buried obstacles
Yulong Lu, Bo Zhang
In this paper, we consider the direct and inverse problem of scattering of time-harmonic waves by an unbounded rough interface with a buried impenetrable obstacle. We first study t…