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| Titel |
Non-Gaussian interaction information: estimation, optimization and diagnostic application of triadic wave resonance |
| VerfasserIn |
C. A. L. Pires, R. A. P. Perdigão |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
2198-5634
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics Discussions ; 1, no. 2 ; Nr. 1, no. 2 (2014-10-02), S.1539-1602 |
| Datensatznummer |
250115126
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| Publikation (Nr.) |
 copernicus.org/npgd-1-1539-2014.pdf |
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| Zusammenfassung |
| Non-Gaussian multivariate probability distributions, derived from climate and
geofluid statistics, allow for nonlinear correlations between linearly
uncorrelated components, due to joint Shannon negentropies. Triadic
statistical dependence under pair-wise (total or partial) independence is
thus possible. Synergy or interaction information among triads is estimated.
We formulate an optimization method of triads in the space of orthogonal
rotations of normalized principal components, relying on the maximization of
third-order cross cumulants. Its application to a minimal one-dimensional,
periodic, advective model, leads to enhanced triads that occur between
oscillating components of circular or locally confined wave-trains satisfying
the triadic wave resonance condition. |
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