English(EN) Tensor-Train Weak SINDy: Identifying High-Dimensional Nonlinear Dynamics

新的TT-WSINDy方法解决高维非线性动力学问题

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-10 04:00

研究人员开发了TT-WSINDy，一种用于识别高维系统非线性动力学的新颖方法。该方法结合了非线性动力学多维逼近（MANDy）和非线性动力学弱稀疏识别（WSINDy）技术，并利用张量-链（TT）格式进行计算。TT-WSINDy有效地导航了指数级大的候选函数空间，而不会屈服于维度灾难，从而实现了有效的弱形式变换、回归和稀疏化。 AI

影响该方法可以实现对AI研究中复杂、高维数据更有效的分析。

排序理由该条目是一篇详细介绍新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv stat.ML 阅读 →

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arXiv stat.ML TIER_1 English(EN) · Will Houser, Vanja Dukic, David M. Bortz · 2026-09-10 04:00

Tensor-Train Weak SINDy: 识别高维非线性动力学

arXiv:2609.09434v1 Announce Type: cross Abstract: In recent years, weak-form methods have made significant advances in data-driven discovery of dynamical systems. However, in high-dimensional settings, current techniques can prove expensive in both computation and memory. In this…

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Tensor-Train Weak SINDy: 识别高维非线性动力学

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