Hutchinson Trace Estimation for high-dimensional and high-order Physics-Informed Neural Networks-Reference-Cited by-同舟云学术

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Hutchinson Trace Estimation for high-dimensional and high-order Physics-Informed Neural Networks

Published:2024-05 Issue: Volume:424 Page:116883
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Hu Zheyuan^ORCID,Shi Zekun^ORCID,Karniadakis George Em,Kawaguchi Kenji

Funder

Government of Singapore Ministry of Education

US Department of Defense

Office of Naval Research

Department of Energy

National Research Foundation of Singapore

Publisher

Elsevier BV

Reference57 articles.

1. Forward-backward stochastic neural networks: Deep learning of high-dimensional partial differential equations;Raissi,2018

2. Deep learning without poor local minima;Kawaguchi,2016

3. Generalization in Deep Learning;Kawaguchi,2022

4. Adam: A method for stochastic optimization;Kingma,2015

5. Solving high-dimensional partial differential equations using deep learning;Han;Proc. Natl. Acad. Sci.,2018

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solving large-scale variational inequalities with dynamically adjusting initial condition in physics-informed neural networks;Computer Methods in Applied Mechanics and Engineering;2024-09

2. Tackling the curse of dimensionality with physics-informed neural networks;Neural Networks;2024-08

3. Physics-informed neural networks for solving functional renormalization group on a lattice;Physical Review B;2024-06-14

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