Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling

Despite the success of physics-informed neural networks (PINNs) in approximating partial differential equations (PDEs), PINNs can sometimes fail to converge to the correct solution in problems involving complicated PDEs. This is reflected in several recent studies on characterizing the "failure...

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Veröffentlicht in:	arXiv.org 2023-06
Hauptverfasser:	Daw, Arka, Bu, Jie, Wang, Sifan, Perdikaris, Paris, Karpatne, Anuj
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Collocation Neural networks Partial differential equations Propagation Sampling Training
Online-Zugang:	Volltext
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