Hutchinson trace estimation for high-dimensional and high-order physics-informed neural networks

DOI10.1016/J.CMA.2024.116883MaRDI QIDQ6494049

Zheyuan Hu, Zekun Shi, Kenji Kawaguchi, George Em. Karniadakis

Publication date: 29 April 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

curse of dimensionalityphysics-informed neural networkshigh-dimensional and high-order partial differential equationHutchinson trace estimation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Cites Work

• Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations

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