有色图模型及其对称性
Coloured Graphical Models and their Symmetries
AI总结：
本文研究有色图模型，建立图对称性与模型倒反簇上零化线性形式的关联，给出四类可由对称性完全刻画对应线性形式的模型，丰富了高斯图模型的对称性质研究。
摘要：
有色图模型是由无向有色图确定的高斯统计模型，可通过对称矩阵的线性空间来描述。本文概述了图的对称性与在模型的倒反簇上取零值的线性形式之间的关系，特别给出了四类模型，其对应的这类线性形式可完全由对称性描述。
英文摘要：
Coloured graphical models are Gaussian statistical models determined by an undirected coloured graph. These models can be described by linear spaces of symmetric matrices. We outline a relationship between the symmetries of the graph and the linear forms that vanish on the reciprocal variety of the model. In particular, we give four families for which such linear forms are completely described by symmetries.
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。
