论文标题

高斯图形模型中成对相关性的指数衰减,具有等效性一维连接模式

Exponential decay of pairwise correlation in Gaussian graphical models with an equicorrelational one-dimensional connection pattern

论文作者

Marrelec, Guillaume, Giron, Alain, Messio, Laura

论文摘要

我们考虑与等效和一维有条件独立图相关的高斯图形模型。我们表明,成对相关性作为距离的函数呈指数衰减。当变量倾向于无穷大并量化有限情况和无限情况之间的差异时,我们还提供了一个限制。

We consider Gaussian graphical models associated with an equicorrelational and one-dimensional conditional independence graph. We show that pairwise correlation decays exponentially as a function of distance. We also provide a limit when the number of variables tend to infinity and quantify the difference between the finite and infinite cases.

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