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English(EN) CLT-Optimal Parameter Error Bounds for Linear System Identification

新界限改进线性系统辨识的参数误差估计

研究人员发现当前最先进的线性系统辨识界限存在差异,表明它们可能将参数误差夸大了与系统状态维度相关的因子。他们提出了一种新颖的二阶分解来锐化这些界限,引入了一个精确反映中心极限定理缩放的矩阵值鞅。这项工作为稳定和多轨迹设置产生了改进的有限样本界限,与最优速率非常接近。 AI

影响 精炼了线性动力系统中参数估计的理论理解,可能影响相关人工智能应用中的模型鲁棒性和准确性。

排序理由 这是一篇详细介绍线性系统辨识参数误差界限理论进展的研究论文。

在 Hugging Face Daily Papers 阅读 →

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新界限改进线性系统辨识的参数误差估计

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这是一篇详细介绍线性系统辨识参数误差界限理论进展的研究论文。
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报道来源 [2]

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

    CLT-Optimal 参数线性系统辨识误差界限

    There has been remarkable progress over the past decade in establishing finite-sample, non-asymptotic bounds on recovering unknown system parameters from observed system behavior. Surprisingly, however, we show that the current state-of-the-art bounds do not accurately capture th…

  2. arXiv stat.ML TIER_1 English(EN) · Stephen Tu ·

    CLT-Optimal 参数线性系统辨识误差界限

    There has been remarkable progress over the past decade in establishing finite-sample, non-asymptotic bounds on recovering unknown system parameters from observed system behavior. Surprisingly, however, we show that the current state-of-the-art bounds do not accurately capture th…