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  Transition to reconstructibility in weakly coupled networks

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.

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 Creators:
Lünsmann, Benedict J.1, Author              
Kirst, Christoph1, Author              
Timme, Marc1, Author              
Affiliations:
1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

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 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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Language(s): eng - English
 Dates: 2017-10-20
 Publication Status: Published online
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 Rev. Type: Peer
 Identifiers: DOI: 10.1371/journal.pone.0186624
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Title: PLoS One
Source Genre: Journal
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Pages: 12 Volume / Issue: 12 (10) Sequence Number: e0186624 Start / End Page: - Identifier: -