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English(EN) Extending Fourier Neural Operators for Modeling Parameterized and Coupled PDEs

新的傅里叶神经算子扩展可处理复杂的偏微分方程

研究人员开发了傅里叶神经算子(FNOs)的扩展,旨在更好地模拟参数化和耦合的偏微分方程(PDEs)。所提出的方法结合了基于超网络的调制来处理参数化动力学,并探索了耦合系统的架构选择,以平衡共享结构与跨变量交互。在电容耦合等离子体方程和Gray-Scott系统等基准PDE上的评估表明,与现有基线相比,误差显著降低。 AI

影响 增强了神经网络模拟复杂物理系统的能力,可能加速科学发现。

排序理由 关于模拟偏微分方程新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新的傅里叶神经算子扩展可处理复杂的偏微分方程

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关于模拟偏微分方程新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Cheng Jing, Uvini Balasuriya Mudiyanselage, Abhishek Verma, Kallol Bera, Shahid Rauf, Kookjin Lee ·

    扩展傅里叶神经算子以模拟参数化和耦合偏微分方程

    arXiv:2607.23466v1 Announce Type: new Abstract: Parameterized and coupled partial differential equations (PDEs) are central to modeling phenomena in science and engineering, yet neural operator methods that address both aspects remain limited. We extend Fourier neural operators (…