Data based reconstruction of duplex networks

Chuang Ma, Han Shuang Chen, Xiang Li, Ying Cheng Lai, Hai Feng Zhang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

It has been recognized that many complex dynamical systems in the real world require a description in terms of multiplex networks, where a set of common, mutually connected nodes belong to distinct network layers and play a different role in each layer. In spite of recent progress toward data based inference of single-layer networks, to reconstruct complex systems with a multiplex structure remains largely open. In this paper, we articulate a mean-field based maximum likelihood estimation framework to address this problem. In a concrete manner, we reconstruct a class of prototypical duplex network systems hosting two categories of spreading dynamics, and we show that the structures of both layers can be simultaneously reconstructed from time series data. In addition to validating the framework using empirical and synthetic duplex networks, we carry out a detailed analysis to elucidate the impacts of network and dynamics parameters on the reconstruction accuracy and the robustness.

Original languageEnglish (US)
Pages (from-to)124-150
Number of pages27
JournalSIAM Journal on Applied Dynamical Systems
Volume19
Issue number1
DOIs
StatePublished - 2020

Keywords

  • Maximum likelihood estimation
  • Mean-field approximation
  • Multiplex networks
  • Network reconstruction

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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