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基于贝叶斯树邻接文法的方程发现

研究人员引入了一种使用树邻接文法(TAGs)的贝叶斯方程发现方法。该方法定义了树结构和参数上的生成先验,并采用可逆跳跃马尔可夫链蒙特卡洛(Reversible-Jump MCMC)采样器来推断联合后验分布。该方法在模拟多项式NARX系统、Silverbox基准测试和波浪载荷数据上进行了测试,证明了其在量化不确定性和拟合动力学系统的物理信息模型方面的能力。 AI

影响 这项研究推进了动力学系统中方程发现的方法,有望提高AI模型在科学应用中的可解释性和准确性。

排序理由 该集群包含一篇详细介绍方程发现新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv stat.ML 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

基于贝叶斯树邻接文法的方程发现

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Tool
该集群包含一篇详细介绍方程发现新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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Topics
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Christopher A. Lindley, Nikolaos Dervilis, Keith Worden ·

    Bayesian 树邻接文法方程发现

    arXiv:2609.31368v1 Announce Type: new Abstract: Tree-Adjoining Grammars (TAGs) have recently been introduced to Nonlinear System Identification (NLSI) as a means of encoding an entire model class as a finite set of grammatical rules, from which candidate models are assembled as t…