196 citations · 1.6k across the 143 of their papers we have counts for
18 papers · 1 filter
Universal approximation of symmetric and anti-symmetric functions
Jiequn Han, Yingzhou Li, Lin Lin +3
We consider universal approximations of symmetric and anti-symmetric functions, which are important for applications in quantum physics, as well as other scientific and engineering…
Synchronization of Kuramoto Oscillators in Dense Networks
Jianfeng Lu, Stefan Steinerberger
We study synchronization properties of systems of Kuramoto oscillators. The problem can also be understood as a question about the properties of an energy landscape created by a gr…
Estimating Normalizing Constants for Log-Concave Distributions: Algorithms and Lower Bounds
Rong Ge, Holden Lee, Jianfeng Lu
Estimating the normalizing constant of an unnormalized probability distribution has important applications in computer science, statistical physics, machine learning, and statistic…
Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function
Jianfeng Lu, Stefan Steinerberger
We study the problem of maximizing the expected lifetime of drift diffusion in a bounded domain. More formally, we consider the PDE \[ - Δu + b(x) \cdot \nabla u = 1 \qquad \mbox{i…
On explicit -convergence rate estimate for underdamped Langevin dynamics
Yu Cao, Jianfeng Lu, Lihan Wang
We provide a refined explicit estimate of exponential decay rate of underdamped Langevin dynamics in distance, based on a framework developed in [1]. To achieve this, we firs…
Fisher information regularization schemes for Wasserstein gradient flows
Wuchen Li, Jianfeng Lu, Li Wang
We propose a variational scheme for computing Wasserstein gradient flows. The scheme builds upon the Jordan--Kinderlehrer--Otto framework with the Benamou-Brenier's dynamic formula…