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A Priori Generalization Error Analysis of Two-Layer Neural Networks for
  Solving High Dimensional Schrödinger Eigenvalue Problems

A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems

4 May 2021
Jianfeng Lu
Yulong Lu
ArXivPDFHTML

Papers citing "A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems"

5 / 5 papers shown
Title
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks
Jonathan W. Siegel
32
7
0
28 Jul 2023
Neural Network Approximations of PDEs Beyond Linearity: A
  Representational Perspective
Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective
Tanya Marwah
Zachary Chase Lipton
Jianfeng Lu
Andrej Risteski
34
10
0
21 Oct 2022
Interpolating between BSDEs and PINNs: deep learning for elliptic and
  parabolic boundary value problems
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems
Nikolas Nusken
Lorenz Richter
PINN
DiffM
28
27
0
07 Dec 2021
Deep neural network solution of the electronic Schrödinger equation
Deep neural network solution of the electronic Schrödinger equation
J. Hermann
Zeno Schätzle
Frank Noé
133
444
0
16 Sep 2019
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions
  with $ \ell^1 $ and $ \ell^0 $ Controls
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with ℓ1 \ell^1 ℓ1 and ℓ0 \ell^0 ℓ0 Controls
Jason M. Klusowski
Andrew R. Barron
108
142
0
26 Jul 2016
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