arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1509.04740cs.SIcond-mat.stat-mechphysics.soc-phstat.ML
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基于动态社团结构的时序网络建模

Modeling sequences and temporal networks with dynamic community structures

Tiago P. Peixoto, Martin Rosvall

摘要:

在不断发展的复杂系统中,如空中交通和社会组织,集体效应产生于其许多组成部分的动态相互作用。虽然动态交互可以用具有随时间变化的节点和链接的时间网络来表示,但它们仍然非常复杂。因此,经常需要使用提取时间网络的大规模动态社区结构的方法。然而,这样的方法受到过拟合或遭受任意的,先验强加的时间尺度的影响,而不是从数据中提取。在这里,我们同时解决这两个问题,并开发一个原则性的数据驱动的方法,确定相关的时间尺度,并确定发生在网络上的动态模式,以及塑造网络本身。我们的方法基于一个任意阶马尔可夫链模型与社区结构,并开发了一个非参数贝叶斯推理框架,确定最简单的这样的模型,可以解释时间交互数据。

英文摘要:

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and links that change over time, they remain highly complex. It is therefore often necessary to use methods that extract the temporal networks' large-scale dynamic community structure. However, such methods are subject to overfitting or suffer from effects of arbitrary, a priori imposed timescales, which should instead be extracted from data. Here we simultaneously address both problems and develop a principled data-driven method that determines relevant timescales and identifies patterns of dynamics that take place on networks as well as shape the networks themselves. We base our method on an arbitrary-order Markov chain model with community structure, and develop a nonparametric Bayesian inference framework that identifies the simplest such model that can explain temporal interaction data.

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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