Network reconstruction from binary-state time series in presence of time delay and hidden nodes

作     者：Zhang, Yuhao Li, Huaxun Zhang, Zhaoyang Qian, Yu Pandey, Vikas 

作者机构：Ningbo Univ Sch Phys Sci & Technol Dept Phys Ningbo 315211 Zhejiang Peoples R China Baoji Univ Arts & Sci Coll Phys & Optoelect Technol Baoji 721007 Peoples R China Univ Calif Los Angeles David Geffen Sch Med Dept Med Los Angeles CA 90095 USA 

出 版 物：《CHINESE JOURNAL OF PHYSICS》 (Chin. J. Phys.)

年 卷 期：2020年第67卷

页      面：203-211页

核心收录：

基　　金：National Natural Science Foundation of China [11605098, 11675001, 11975131] Natural Science Foundation of Ningbo [2017A610142, 2019C50001] K. C. Wong Magna Fund at Ningbo University 

主　　题：Network reconstruction Time delay Binary-state dynamics Hidden nodes 

摘      要：Complex networks with binary-state dynamics represent many meaningful behaviors in a variety of contexts. Reconstruction of networked systems hosting delayed binary processes with hidden nodes becomes an outstanding challenge in this field. To address this issue, we extend the statistical inference method to complex networked systems with distinct binary-state dynamics in presence of time delay and missing data. By exploiting the expectation-maximization (EM) algorithm, we implement the statistical inference based approach to different (i.e., random, small world, and scale-free) networks hosting delayed-binary processes. Our framework is completely data driven, and does not require any a prior knowledge about the detailed dynamical process on the network;especially, our method can independently infer each physical connectivity and estimate the time delay solely from the data of a pair of nodes in this link. We provide a physical understanding of the underlying mechanism;and extensive numerical simulations validate the robustness, efficiency, and accuracy of our method.