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arXiv 1403.0989cs.SIphysics.soc-phstat.ML
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检测演化网络大规模结构中的变点

Detecting change points in the large-scale structure of evolving networks

Leto Peel, Aaron Clauset

摘要:

人或物体之间的交互在本质上通常是动态的,可以表示为一系列网络,每个网络都提供了一个简短时间段内交互的快照。分析这种不断发展的网络的一个重要任务是变点检测,在这个过程中,我们既要确定大规模交互模式发生根本变化的时间,又要量化发生了多大的变化和什么样的变化。在这里,我们第一次正式的在线概率学习框架内的网络变点检测问题,并介绍了一种方法,可以可靠地解决它。这种方法结合了广义分层随机图模型与贝叶斯假设检验,以定量地确定是否,何时,以及如何发生的变化点。我们分析了我们的方法使用合成数据与已知的不同类型和幅度的变化点的可检测性,并表明,这种方法是更准确的比以前使用的替代品。应用于两个高分辨率的不断发展的社交网络,这种方法确定了一系列的变化点,与已知的外部“冲击”,这些网络。

英文摘要:

Interactions among people or objects are often dynamic in nature and can be represented as a sequence of networks, each providing a snapshot of the interactions over a brief period of time. An important task in analyzing such evolving networks is change-point detection, in which we both identify the times at which the large-scale pattern of interactions changes fundamentally and quantify how large and what kind of change occurred. Here, we formalize for the first time the network change-point detection problem within an online probabilistic learning framework and introduce a method that can reliably solve it. This method combines a generalized hierarchical random graph model with a Bayesian hypothesis test to quantitatively determine if, when, and precisely how a change point has occurred. We analyze the detectability of our method using synthetic data with known change points of different types and magnitudes, and show that this method is more accurate than several previously used alternatives. Applied to two high-resolution evolving social networks, this method identifies a sequence of change points that align with known external "shocks" to these networks.

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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