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arXiv 2011.09126cs.SIcs.LGphysics.soc-ph
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通过三元闭包的复用网络中的链接预测

Link prediction in multiplex networks via triadic closure

ISI Foundation(ISI基金会);Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza(萨拉戈萨大学生物计算与复杂系统物理研究所(BIFI));University of Zaragoza(萨拉戈萨大学)

Alberto Aleta, Marta Tuninetti, Daniela Paolotti, Yamir Moreno, Michele Starnini

摘要:

链接预测算法可以帮助理解复杂系统的结构和动力学,从不完整的数据集重建网络,并预测未来的相互作用,在不断发展的网络。基于节点之间相似性的可用算法受到这些网络中存在的有限数量的链接的限制。在这项工作中,我们减少了后者的内在限制,并表明可以利用不同类型的关系数据来提高新链接的预测。为此,我们提出了一种新的链接预测算法,通过推广的Adamic-Adar方法组成的多路复用网络的任意数量的层,编码不同形式的相互作用。我们表明,新的度量优于经典的单层Adamic-Adar评分和其他国家的最先进的方法,在几个社会,生物和技术系统。作为副产品,最大化复用Adamic-Adar度量的系数指示复用网络中结构化的信息如何针对链接预测任务进行优化,从而揭示哪些层是冗余的。有趣的是,这种效应对于不同层的预测可能是不对称的。我们的工作铺平了道路,为更深入地了解不同的关系数据在预测新的相互作用的作用,并提供了一个新的算法,链接预测在多路复用网络,可应用于大量的系统。

英文摘要:

Link prediction algorithms can help to understand the structure and dynamics of complex systems, to reconstruct networks from incomplete data sets and to forecast future interactions in evolving networks. Available algorithms based on similarity between nodes are bounded by the limited amount of links present in these networks. In this work, we reduce this latter intrinsic limitation and show that different kind of relational data can be exploited to improve the prediction of new links. To this aim, we propose a novel link prediction algorithm by generalizing the Adamic-Adar method to multiplex networks composed by an arbitrary number of layers, that encode diverse forms of interactions. We show that the new metric outperforms the classical single-layered Adamic-Adar score and other state-of-the-art methods, across several social, biological and technological systems. As a byproduct, the coefficients that maximize the Multiplex Adamic-Adar metric indicate how the information structured in a multiplex network can be optimized for the link prediction task, revealing which layers are redundant. Interestingly, this effect can be asymmetric with respect to predictions in different layers. Our work paves the way for a deeper understanding of the role of different relational data in predicting new interactions and provides a new algorithm for link prediction in multiplex networks that can be applied to a plethora of systems.

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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