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

Published in SIAM Journal on Scientific Computing, 2023

Recommended citation:  Zheyuan Hu*, Zhouhao Yang*, Yezhen Wang*, George Em Karniadakis, Kenji Kawaguchi, "Bias-variance trade-off in physics-informed neural networks with randomized smoothing for high-dimensional PDEs." SIAM Journal on Scientific Computing 47.4 (2025): C846-C872. https://doi.org/10.1137/23M1621356