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arXiv 1301.3759stat.MEstat.AP
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多网络视图的联合建模

Joint Modelling of Multiple Network Views

Isabella Gollini, Thomas Brendan Murphy

摘要:

Hoff等人(2002)在网络的每个节点在D维欧氏潜在空间中有一个未知位置的基本假设下引入了网络数据的潜在空间模型(LSM):通常潜在空间中两个节点之间的距离越小,它们连接的概率越大。在本文中,我们提出了一个变分贝叶斯方法来估计的LSM的棘手后验。在许多情况下,同一组节点上的不同网络视图可用。因此,建立一个能够共同总结所有网络视图给出的信息的模型可能是有用的。为此,我们引入潜在空间联合模型(LSJM),它合并了多个网络视图给出的信息,假设每个网络视图中的节点与其他节点连接的概率由一个唯一的潜在变量来解释。这一模型通过对两个数据集的分析得到证明:“青少年朋友和生活方式研究”中50名女孩在三个时间点的数据摘录和酿酒酵母基因和物理蛋白质-蛋白质相互作用。

英文摘要:

Latent space models (LSM) for network data were introduced by Hoff et al. (2002) under the basic assumption that each node of the network has an unknown position in a D-dimensional Euclidean latent space: generally the smaller the distance between two nodes in the latent space, the greater their probability of being connected. In this paper we propose a variational Bayes approach to estimate the intractable posterior of the LSM. In many cases, different network views on the same set of nodes are available. It can therefore be useful to build a model able to jointly summarise the information given by all the network views. For this purpose, we introduce the latent space joint model (LSJM) that merges the information given by multiple network views assuming that the probability of a node being connected with other nodes in each network view is explained by a unique latent variable. This model is demonstrated on the analysis of two datasets: the excerpt of 50 girls from `Teenage Friends and Lifestyle Study' data at three time points and the Saccharomyces cerevisiae genetic and physical protein-protein interactions.

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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