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Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

This paper explores the difficulties in solving partial differential equations (PDEs) using physics-informed neural networks (PINNs).PINNs use physics as a regularization term in the objective function.However, a drawback of this approach is the requirement for manual hyperparameter tuning, making it impractical in the absence of validation data or prior knowledge …