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arXiv · 1712.09658

Efficient modeling of higher-order dependencies in networks: from algorithm to application for anomaly detection

Mandana Saebi·Jian Xu·Lance M. Kaplan·Bruno Ribeiro·Nitesh V. Chawla
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Abstract

Complex systems, represented as dynamic networks, comprise of components that influence each other via direct and/or indirect interactions. Recent research has shown the importance of using Higher-Order Networks (HONs) for modeling and analyzing such complex systems, as the typical Markovian assumption in developing the First Order Network (FON) can be limiting. This higher-order network representation not only creates a more accurate representation of the underlying complex system, but also leads to more accurate network analysis. In this paper, we first present a scalable and accurate model, BuildHON+, for higher-order network representation of data derived from a complex system with various orders of dependencies. Then, we show that this higher-order network representation modeled by BuildHON+ is significantly more accurate in identifying anomalies than FON, demonstrating a need for the higher-order network representation and modeling of complex systems for deriving meaningful conclusions.

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Mandana Saebi, Jian Xu, Lance M. Kaplan, Bruno Ribeiro, Nitesh V. Chawla. 2017-12-27. Efficient modeling of higher-order dependencies in networks: from algorithm to application for anomaly detection. https://doi.org/10.1140/epjds%2Fs13688-020-00233-y

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