3 papers
math.AP2025
Barron regularity of many particle Schrödinger eigenfunctions
Pingbing Ming, Hao Yu
This work investigates the regularity of Schrödinger eigenfunctions and the solvability of Schrödinger equations in spectral Barron space , wher…
math.NA2025
Spectral connvergece of random feature method in one dimension
Pingbing Ming, Hao Yu
Among the various machine learning methods solving partial differential equations, the Random Feature Method (RFM) stands out due to its accuracy and efficiency. In this paper, we…
math.NA2025
Sharp uniform approximation for spectral Barron functions by deep neural networks
Yulei Liao, Pingbing Ming, Hao Yu
This work explores the neural network approximation capabilities for functions within the spectral Barron space , where is the smoothness index. We demonstrate t…