English(EN) A zero-one law for one-shot system identification

新的零一律简化了单次系统辨识

作者 PulseAugur 编辑部 · [1 个来源] · 2026-07-20 04:00

研究人员开发了一种从单次实验中辨识解析系统的新方法，适用于由预定字典项线性参数化的系统。他们证明了一个尖锐的零一律，表明要么没有输入能唯一确定系数，要么几乎所有来自非退化高斯测度的随机输入都能唯一确定系数。该方法简化了单次系统辨识，并为恢复的模型提供了证书，数值示例证明了其从单轨迹数据中恢复动力系统、非线性偏微分方程和结构化矩阵族的有效性。 AI

影响该研究推进了系统辨识的理论理解，可能影响AI模型的训练和验证。

排序理由该条目是提交给arXiv的关于数值分析的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Nicolas Boull\'e, Diana Halikias, Samuel E. Otto, Alex Townsend · 2026-07-20 04:00

一次性系统辨识的零一律

arXiv:2607.15832v1 Announce Type: cross Abstract: Can a model be identified from one experiment? We study analytic systems that are linearly parameterized by a combination of prescribed dictionary terms, such as partial differential operators and dynamical systems. For a single i…

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一次性系统辨识的零一律

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