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Finite Volume-Informed Neural Network Framework for 2D Shallow Water Equations: Rugged Loss Landscapes and the Importance of Data Guidance

arXiv cs.LG · 2026-05-13 Cached

This paper introduces 'Data-Guided FVM-PINN', a framework using finite-volume losses for 2D shallow water equations, demonstrating that sparse data guidance is crucial to prevent network collapse in rugged loss landscapes.

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