Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations

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Zhengqi Zhang, Jing Li, Bin Liu

Published: 01 Jan 2025, Last Modified: 19 Jan 2025J. Comput. Phys. 2025EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•We propose a novel Annealed Adaptive Importance Sampling method in PINNs called AAIS-PINNs.•AAIS-PINNs shows proficiency in resolving high-dimensional singular PDEs.•AAIS-PINNs achieves significant efficiency improvements on a range of PDEs.