A priori generalization error analysis of two-layer neural networks for solving high dimensional Schrödinger eigenvalue problems

DOI10.1090/cams/5arXiv2105.01228OpenAlexW3157537236MaRDI QIDQ6076649

Yulong Lu, Jian-feng Lu

Publication date: 17 October 2023

Published in: Communications of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01228

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical analysis (65-XX)

Related Items (3)

A Regularity Theory for Static Schrödinger Equations on \(\boldsymbol{\mathbb{R}}\)^d in Spectral Barron Spaces ⋮ A deep learning method for computing eigenvalues of the fractional Schrödinger operator ⋮ Deep Ritz method for elliptical multiple eigenvalue problems

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