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English(EN) FoundPDE: A generative foundation model for data-driven symbolic discovery of partial differential equations

FoundPDE:用于PDE符号发现的新基础模型

研究人员开发了FoundPDE,一个用于从数据中符号发现偏微分方程(PDE)的生成式基础模型。这个基于Transformer的模型利用傅里叶和空间导数增强来提取轨迹信息和优化系数。FoundPDE在20个PDE家族的基准测试中表现强劲,实现了97.50%的类型识别率,并在系数偏移和噪声下保持鲁棒性。该模型还支持少样本微调以发现未见的复合方程,并能用有限的额外数据扩展到新的物理领域。 AI

影响 能够直接从数据中更高效、更通用地发现科学定律。

排序理由 该集群包含一篇详细介绍新的符号发现模型的论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.AI 阅读 →

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FoundPDE:用于PDE符号发现的新基础模型

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该集群包含一篇详细介绍新的符号发现模型的论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Langchen Liu, Junlin Luo, Min Zhu, Zhuoran Yang, Lu Lu ·

    FoundPDE:一种用于数据驱动的偏微分方程符号发现的生成式基础模型

    arXiv:2610.26963v1 Announce Type: cross Abstract: Discovering governing partial differential equations (PDEs) from observed data is a central inverse problem in computational science and engineering: the goal is not only to predict trajectories, but to identify interpretable symb…