Networks: on the relation of bi- and multivariate measures
Abstract: A reliable inference of networks from observations of the nodes’ dynamics is a major challenge in physics. Interdependence measures such as a the correlation coefficient or more advanced methods based on, e.g., analytic phases of signals are employed. For several of these interdependence measures, multivariate counterparts exist that promise to enable distinguishing direct and indirect connections. Here, we demonstrate analytically how bivariate measures relate to the respective multivariate ones; this knowledge will in turn be used to demonstrate the implications of thresholded bivariate measures for network inference. Particularly, we show, that random networks are falsely identified as small-world networks if observations thereof are treated by bivariate methods. We will employ the correlation coefficient as an example for such an interdependence measure. The results can be readily transferred to all interdependence measures partializing for information of thirds in their multivariate counterparts
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Scientific Reports. 5 (2015), 10805, DOI 10.1038/srep10805, issn: 2045-2322
IN COPYRIGHT http://rightsstatements.org/page/InC/1.0 rs
- Classification
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Mathematik
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2015
- Contributor
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Physikalisches Institut
Zentrum für Datenanalyse und Modellbildung
Fakultät für Mathematik und Physik
Albert-Ludwigs-Universität Freiburg
- DOI
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10.1038/srep10805
- URN
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urn:nbn:de:bsz:25-freidok-120651
- Rights
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Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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25.03.2025, 1:49 PM CET
Data provider
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Associated
- Mader, Wolfgang
- Mader, Malenka
- Timmer, Jens
- Schelter, Björn
- Physikalisches Institut
- Zentrum für Datenanalyse und Modellbildung
- Fakultät für Mathematik und Physik
- Albert-Ludwigs-Universität Freiburg
- Universität
Time of origin
- 2015
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