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Transition to reconstructibility in weakly coupled networks

MPG-Autoren
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Lünsmann,  Benedict J.
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Kirst,  Christoph
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Timme,  Marc
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Zitation

Lünsmann, B. J., Kirst, C., & Timme, M. (2017). Transition to reconstructibility in weakly coupled networks. PLoS One, 12(10): e0186624. doi:10.1371/journal.pone.0186624.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-002E-124D-C
Zusammenfassung
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.