14 citations · 33 across the 11 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.NA2022★ 8 cited
Bridging Traditional and Machine Learning-based Algorithms for Solving PDEs: The Random Feature Method
Jingrun Chen, Xurong Chi, Weinan E +1
One of the oldest and most studied subject in scientific computing is algorithms for solving partial differential equations (PDEs). A long list of numerical methods have been propo…
math.OC2022★ 14 cited
A Deep Neural Network for Knot Placement in B-spline Approximation
Jiaqi Luo, Zepeng Wen, Hongmei Kang +1
Automatically determining knot number and positions is a fundamental and challenging problem in B-spline approximation. In this paper, the knot placement is abstracted as a mapping…