Network reconstructions with partially available data

作     者：Chaoyang Zhang Yang Chen Gang Hu 

作者机构：Departraent of Physics Ningbo University Ningbo 315211 China School of Sciences Beijing University of Posts and Telecommunications Beijing 100876 China Department-of-Physics Beijing- Normal University Beijing 100875 China 

出 版 物：《Frontiers of physics》 (物理学前沿（英文版）)

年 卷 期：2017年第12卷第3期

页      面：117-123页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0835[工学-软件工程] 0704[理学-天文学] 081201[工学-计算机系统结构] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 081202[工学-计算机软件与理论] 

基　　金：国家自然科学基金 中国博士后科学基金 宁波大学王宽诚幸福基金项目 

主　　题：network reconstruction dynamics data analysis 

摘      要：Many practical systems in natural and social sciences can be described by dynamical networks. Day by day we have measured and accumulated huge amounts of data from these networks, which can be used by us to further our understanding of the world. The structures of the networks producing these data are often unknown. Consequently, understanding the structures of these networks from available data turns to be one of the central issues in interdisciplinary fields, which is called the network recon- struction problem. In this paper, we considered problems of network reconstructions using partially available data and some situations where data availabilities are not sufficient for conventional network reconstructions. Furthermore, we proposed to infer subnetwork with data of the subnetwork available only and other nodes of the entire network hidden; to depict group-group interactions in networks with averages of groups of node variables available; and to perform network reconstructions with known data of node variables only when networks are driven by both unknown internal fast-varying noises and unknown external slowly-varying signals. All these situations are expected to be common in practical systems and the methods and results may be useful for real world applications.