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English(EN) Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond

有限差分法为PINNs提供更快、更准确的导数计算

一篇新论文探讨了有限差分(FD)方法作为物理信息神经网络(PINNs)中自动微分(AD)计算导数的替代方案。研究表明,在各种批处理大小下,FD在精度上可以媲美AD,同时提供更快的计算速度并减少GPU内存使用。此外,该研究强调了标准PyTorch autograd在某些神经网络架构中可能存在的潜在不准确性,建议使用FD作为更可靠的近似方法。 AI

影响 有限差分法可能为训练物理信息神经网络提供比自动微分更高效、更准确的替代方案。

排序理由 详细介绍AI模型新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 Hugging Face Daily Papers 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

有限差分法为PINNs提供更快、更准确的导数计算

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详细介绍AI模型新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    PINNs 中的导数计算:自动微分、有限差分及其他

    We systematically investigate finite-difference (FD) derivative computation in Physics-Informed Neural Networks (PINNs) as an alternative to automatic differentiation (AD). On three benchmark PDEs we show that, with a properly calibrated step size, FD matches AD in accuracy on ev…