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Beyond pairwise network similarity : exploring mediation and suppression between networks

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Abstract
Network similarity measures quantify how and when two networks are symmetrically related, including measures of statistical association such as pairwise distance or other correlation measures between networks or between the layers of a multiplex network, but neither can directly unveil whether there are hidden confounding network factors nor can they estimate when such correlation is underpinned by a causal relation. In this work we extend this pairwise conceptual framework to triplets of networks and quantify how and when a network is related to a second network (of the same number of nodes) directly or via the indirect mediation or interaction with a third network. Accordingly, we develop a simple and intuitive set-theoretic approach to quantify mediation and suppression between networks. We validate our theory with synthetic models and further apply it to triplets (multiplex) of real-world networks, unveiling mediation and suppression effects which emerge when considering different modes of interaction in online social networks and different routes of information processing in the nervous system.
Keywords
graph theory, multiplex networks, social networks

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MLA
Lacasa, Lucas, et al. “Beyond Pairwise Network Similarity : Exploring Mediation and Suppression between Networks.” COMMUNICATIONS PHYSICS, vol. 4, 2021, doi:10.1038/s42005-021-00638-9.
APA
Lacasa, L., Stramaglia, S., & Marinazzo, D. (2021). Beyond pairwise network similarity : exploring mediation and suppression between networks. COMMUNICATIONS PHYSICS, 4. https://doi.org/10.1038/s42005-021-00638-9
Chicago author-date
Lacasa, Lucas, Sebastiano Stramaglia, and Daniele Marinazzo. 2021. “Beyond Pairwise Network Similarity : Exploring Mediation and Suppression between Networks.” COMMUNICATIONS PHYSICS 4. https://doi.org/10.1038/s42005-021-00638-9.
Chicago author-date (all authors)
Lacasa, Lucas, Sebastiano Stramaglia, and Daniele Marinazzo. 2021. “Beyond Pairwise Network Similarity : Exploring Mediation and Suppression between Networks.” COMMUNICATIONS PHYSICS 4. doi:10.1038/s42005-021-00638-9.
Vancouver
1.
Lacasa L, Stramaglia S, Marinazzo D. Beyond pairwise network similarity : exploring mediation and suppression between networks. COMMUNICATIONS PHYSICS. 2021;4.
IEEE
[1]
L. Lacasa, S. Stramaglia, and D. Marinazzo, “Beyond pairwise network similarity : exploring mediation and suppression between networks,” COMMUNICATIONS PHYSICS, vol. 4, 2021.
@article{8712969,
  abstract     = {{Network similarity measures quantify how and when two networks are symmetrically related, including measures of statistical association such as pairwise distance or other correlation measures between networks or between the layers of a multiplex network, but neither can directly unveil whether there are hidden confounding network factors nor can they estimate when such correlation is underpinned by a causal relation. In this work we extend this pairwise conceptual framework to triplets of networks and quantify how and when a network is related to a second network (of the same number of nodes) directly or via the indirect mediation or interaction with a third network. Accordingly, we develop a simple and intuitive set-theoretic approach to quantify mediation and suppression between networks. We validate our theory with synthetic models and further apply it to triplets (multiplex) of real-world networks, unveiling mediation and suppression effects which emerge when considering different modes of interaction in online social networks and different routes of information processing in the nervous system.}},
  articleno    = {{136}},
  author       = {{Lacasa, Lucas and Stramaglia, Sebastiano and Marinazzo, Daniele}},
  issn         = {{2399-3650}},
  journal      = {{COMMUNICATIONS PHYSICS}},
  keywords     = {{graph theory,multiplex networks,social networks}},
  language     = {{eng}},
  pages        = {{8}},
  title        = {{Beyond pairwise network similarity : exploring mediation and suppression between networks}},
  url          = {{http://doi.org/10.1038/s42005-021-00638-9}},
  volume       = {{4}},
  year         = {{2021}},
}

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