论文标题

彩色图形模型及其对称性

Coloured Graphical Models and their Symmetries

论文作者

Davies, Isobel, Marigliano, Orlando

论文摘要

彩色图形模型是由无向彩色图确定的高斯统计模型。这些模型可以通过对称矩阵的线性空间来描述。我们概述了图的对称性与在模型的相互变化上消失的线性形式之间的关系。特别是,我们给了四个由对称性完全描述的线性形式的家庭。

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.

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