196 citations · 1.6k across the 143 of their papers we have counts for
5 papers · 2 filters
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…
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…
A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient
Ke Chen, Qin Li, Jianfeng Lu +1
Random sampling has been used to find low-rank structure and to build fast direct solvers for multiscale partial differential equations of various types. In this work, we design an…
Tensor Ring Decomposition: Optimization Landscape and One-loop Convergence of Alternating Least Squares
Ziang Chen, Yingzhou Li, Jianfeng Lu
In this work, we study the tensor ring decomposition and its associated numerical algorithms. We establish a sharp transition of algorithmic difficulty of the optimization problem…
Variational training of neural network approximations of solution maps for physical models
Yingzhou Li, Jianfeng Lu, Anqi Mao
A novel solve-training framework is proposed to train neural network in representing low dimensional solution maps of physical models. Solve-training framework uses the neural netw…