PINN failure modes are overfitting to collocation points; regularization and double backpropagation over full residuals fix them, achieving SOTA with up to 23x fewer points on standard benchmarks.
Bwler: Barycentric weight layer elucidates a precision-conditioning tradeoff for pinns.arXiv preprint arXiv:2506.23024, 2025
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PINNs Failure Modes are Overfitting
PINN failure modes are overfitting to collocation points; regularization and double backpropagation over full residuals fix them, achieving SOTA with up to 23x fewer points on standard benchmarks.