196 citations · 1.6k across the 143 of their papers we have counts for
5 papers · 2 filters
Approximating Pointwise Products of Laplacian Eigenfunctions
Jianfeng Lu, Christopher D. Sogge, Stefan Steinerberger
We consider Laplacian eigenfunctions on a dimensional bounded domain (or a dimensional compact manifold ) with Dirichlet conditions. These operators give rise to a s…
Dirac operators and domain walls
Jianfeng Lu, Alexander B. Watson, Michael I. Weinstein
We study the eigenvalue problem for a one-dimensional Dirac operator with a spatially varying ``mass'' term. It is well-known that when the mass function has the form of a kink, or…
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…
Learning interacting particle systems: diffusion parameter estimation for aggregation equations
Hui Huang, Jian-Guo Liu, Jianfeng Lu
In this article, we study the parameter estimation of interacting particle systems subject to the Newtonian aggregation and Brownian diffusion. Specifically, we construct an estima…