Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs

被引：0
|
作者：
Hu, Zheyuan [2 ]
Yang, Zhouhao [2 ]
Wang, Yezhen [2 ]
Karniadakis, George Em [1 ,3 ]
Kawaguchi, Kenji [2 ]
机构：
[1] Division of Applied Mathematics, Brown University, Providence,RI,02912, United States
[2] Department of Computer Science, National University of Singapore, Singapore,119077, Singapore
[3] Advanced Computing, Mathematics and Data Division, Pacific Northwest National Laboratory, Richland,WA, United States
来源：
arXiv | 2023年
关键词：
Compilation and indexing terms; Copyright 2024 Elsevier Inc;
D O I：
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学科分类号：
摘要：
Approximation algorithms - Computational efficiency - Economic and social effects - Equations of motion - Gaussian noise (electronic) - Gradient methods - Mean square error - Monte Carlo methods - Stochastic models
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