2 papers
cs.LG2025
Deep Learning Optimization Using Self-Adaptive Weighted Auxiliary Variables
Yaru Liu, Yiqi Gu, Michael K. Ng
In this paper, we develop a new optimization framework for the least squares learning problem via fully connected neural networks or physics-informed neural networks. The gradient…
math.NA2025
Learning high-accuracy numerical schemes for hyperbolic equations on coarse meshes
Jinrui Zhou, Yiqi Gu, Hua Shen +3
When solving partial differential equations using classical schemes such as finite difference or finite volume methods, sufficiently fine meshes and carefully designed schemes are…