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arXiv · 1511.06852

A universal data based method for reconstructing complex networks with binary-state dynamics

Jingwen Li·Zhesi Shen·Wen-Xu Wang·Celso Grebogi·Ying-Cheng Lai
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Abstract

To understand, predict, and control complex networked systems, a prerequisite is to reconstruct the network structure from observable data. Despite recent progress in network reconstruction, binary-state dynamics that are ubiquitous in nature, technology and society still present an outstanding challenge in this field. Here we offer a framework for reconstructing complex networks with binary-state dynamics by developing a universal data-based linearization approach that is applicable to systems with linear, nonlinear, discontinuous, or stochastic dynamics governed by monotonous functions. The linearization procedure enables us to convert the network reconstruction into a sparse signal reconstruction problem that can be resolved through convex optimization. We demonstrate generally high reconstruction accuracy for a number of complex networks associated with distinct binary-state dynamics from using binary data contaminated by noise and missing data. Our framework is completely data driven, efficient and robust, and does not require any a priori knowledge about the detailed dynamical process on the network. The framework represents a general paradigm for reconstructing, understanding, and exploiting complex networked systems with binary-state dynamics.

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Jingwen Li, Zhesi Shen, Wen-Xu Wang, Celso Grebogi, Ying-Cheng Lai. 2016-10-12. A universal data based method for reconstructing complex networks with binary-state dynamics. https://doi.org/10.1103/physreve.95.032303

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