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Transition to reconstructibility in weakly coupled networks

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  • Benedict J Lünsmann
  • Christoph Kirst
  • Marc Timme

Abstract

Across scientific disciplines, thresholded pairwise measures of statistical dependence between time series are taken as proxies for the interactions between the dynamical units of a network. Yet such correlation measures often fail to reflect the underlying physical interactions accurately. Here we systematically study the problem of reconstructing direct physical interaction networks from thresholding correlations. We explicate how local common cause and relay structures, heterogeneous in-degrees and non-local structural properties of the network generally hinder reconstructibility. However, in the limit of weak coupling strengths we prove that stationary systems with dynamics close to a given operating point transition to universal reconstructiblity across all network topologies.

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  • Benedict J Lünsmann & Christoph Kirst & Marc Timme, 2017. "Transition to reconstructibility in weakly coupled networks," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-12, October.
    • Handle: RePEc:plo:pone00:0186624
    DOI: 10.1371/journal.pone.0186624
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    References listed on IDEAS

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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Christoph Kirst & Marc Timme & Demian Battaglia, 2016. "Dynamic information routing in complex networks," Nature Communications, Nature, vol. 7(1), pages 1-9, April.
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