Reconstructing networks from dynamics with correlated noise
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AbstractReconstructing the structure of complex networks from measurements of the nodes is a challenge in many branches of science. External influences are always present and act as a noise to the networks of interest. In this paper, we present a method for reconstructing networks from measured dynamics of the nodes subjected to correlated noise that cannot be approximated by a white noise. This method can reconstruct the links of both bidirectional and directed networks, the correlation time and strength of the noise, and also the relative coupling strength of the links when the coupling functions have certain properties. Our method is built upon theoretical relations between network structure and measurable quantities from the dynamics that we have derived for systems that have fixed point dynamics in the noise-free limit. Using these theoretical results, we can further explain the shortcomings of two common practices of inferring links for bidirectional networks using the Pearson correlation coefficient and the partial correlation coefficient.
All Author(s) ListTam HC, Ching ESC, Lai PY
Journal namePhysica A: Statistical Mechanics and its Applications
Year2018
Month7
Day15
Volume Number502
PublisherELSEVIER SCIENCE BV
Pages106 - 122
ISSN0378-4371
eISSN1873-2119
LanguagesEnglish-United Kingdom
KeywordsNetwork reconstruction,Correlated noise, structure and dynamics
Web of Science Subject CategoriesPhysics, Multidisciplinary;Physics

Last updated on 2020-16-09 at 00:45