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differentiable physics 1fluid mechanics 1neural networks 1partial differential equations 1radial basis functions 1spatial reconstruction 1

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20242026
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stat.ML2026

Leveraging Differentiable PDE Solvers for Semi-Neural Spatial Reconstruction From Sparse Measurements

Ofek Aloni, Barak Fishbain

The paper proposes a hybrid method that combines radial basis function interpolation, a neural network correction, and a differentiable PDE solver to reconstruct dense physical fie…