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Paper · arXiv

Curvature-aware dynamic precision approach for physics-informed neural networks

Physics-informed neural networks (PINNs) have become a promising framework for simulating partial differential equations (PDEs) by embedding physical laws directly into neural network training. However, recent studies show that PINN optimisation is sensitive to numerical precision. Existing implementations commonly use either single precision (FP32), which is computationally efficient but prone to failure modes, or double precision (FP64), which is robust but substantially expensive. This creates a trade-off between computational efficiency and numerical accuracy. To reduce the computational cost of double-precision training while retaining prediction accuracy, we propose a curvature-awar...

AuthorsYingjie Shao, Ioannis N. Athanasiadis, George van Voorn et al.
Primary categorycs.LG
Published3 June 2026
Last updated at source3 June 2026
cs.LGcs.AI
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