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Han-Ran Song

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Open access Sep 2026

Two-stage projection physics-informed neural networks for preserving conservation laws

Physics-informed neural networks (PINNs) can attain small residuals for partial differential equations while drifting from global invariants. We separate residual-based training from invariant enforcement: a standard PINN is trained first, and its output is then projected onto a selected invariant manifold at inference...

Xue-Wen Shen, Han-Ran Song, Li-Pu Zhang · 0 citations

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