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arXiv 1208.6550math.ACstat.CO
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Macaulay2中的图形模型

Graphical models in Macaulay2

Luis David García-Puente, Sonja Petrović, Seth Sullivant

摘要:

Macaulay 2软件包GraphicalModels包含用于对与无向图、有向图和混合图相关的图形模型进行代数研究的算法,以及相关的条件独立语句集合。其中实现的算法是程序计算消失的理想的图形模型,生成条件独立理想的家庭的独立报表相关联的图形,并检查可识别的参数高斯混合图模型。这些程序可以用来研究有关图模型的基本问题。

英文摘要:

The Macaulay2 package GraphicalModels contains algorithms for the algebraic study of graphical models associated to undirected, directed and mixed graphs, and associated collections of conditional independence statements. Among the algorithms implemented are procedures for computing the vanishing ideal of graphical models, for generating conditional independence ideals of families of independence statements associated to graphs, and for checking for identifiable parameters in Gaussian mixed graph models. These procedures can be used to study fundamental problems about graphical models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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