Preprint
Aug 2026
Inverted model selection in physics-informed neural networks: when a lower residual selects a worse solution
Testing across six architectures--MLP, cPINN, XPINN, hp-VPINN, and physics-informed DeepONet and FNO--inverts the ranking in 46 of 48 pairs, indicating that this variability is problem-dependent rather than specific to the approximator.
R. Musah
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