Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A5L-F
Session:
Number:A5L-F-3
Inferring dynamic networks driven by both unknown fast-varying noise and slow-varying signal
Zhaoyang Zhang, Yang Chen, Shihong Wang, Gang Hu,
pp.401-404
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
Practical networks of biological systems are often driven by various unknown forces, some are varying fast (like white noise) and some other have the same time s- cale as the network dynamics (like slow- varying signal). It turns to be very difficult to depict the interaction structures of networks by the observable node-variable data only, as both noise and signal are unknown while both play impor- tant roles in producing the variable data. In this paper we present an effective method to overcome this difficulty. We show (i) how to recognize the influences from unknown noise and signal; (ii) how to separate these influences from different driving sources based on the recognition; and (i- ii) how to correctly infer the networks structures based on the understandings of (i) and (ii). Numerical results fully justify our theoretical analysis