2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.NA2025
A PINN-enriched finite element method for linear elliptic problems
Xiao Chen, Yixin Luo, Jingrun Chen
In this paper, we propose a hybrid method that combines finite element method (FEM) and physics-informed neural network (PINN) for solving linear elliptic problems. This method con…
cs.LG2023★ 2 cited
Exploring the Optimal Choice for Generative Processes in Diffusion Models: Ordinary vs Stochastic Differential Equations
Yu Cao, Jingrun Chen, Yixin Luo +1
The diffusion model has shown remarkable success in computer vision, but it remains unclear whether the ODE-based probability flow or the SDE-based diffusion model is more superior…
math.NA2023★ 1 cited
The Random Feature Method for Time-dependent Problems
Jingrun Chen, Weinan E, Yixin Luo
We present a framework for solving time-dependent partial differential equations (PDEs) in the spirit of the random feature method. The numerical solution is constructed using a sp…