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most citedGeneralization Error Estimates of Machine Learning Methods for Solving High Dimensional Schrödinger Eigenvalue Problems

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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…

math.NA2025

Spectral convergence of random feature method in one dimension

Pingbing Ming, Hao Yu

We first prove the spectral convergence of the random feature method (RFM) when used to solve second-order elliptic equations and eigenvalue problems in one dimension, provided tha…