Articles | Volume 22, issue 1
https://doi.org/10.5194/npg-22-87-2015
https://doi.org/10.5194/npg-22-87-2015
Research article
 | 
03 Feb 2015
Research article |  | 03 Feb 2015

Non-Gaussian interaction information: estimation, optimization and diagnostic application of triadic wave resonance

C. A. L. Pires and R. A. P. Perdigão

Viewed

Total article views: 3,075 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
1,425 1,449 201 3,075 171 154
  • HTML: 1,425
  • PDF: 1,449
  • XML: 201
  • Total: 3,075
  • BibTeX: 171
  • EndNote: 154
Views and downloads (calculated since 02 Oct 2014)
Cumulative views and downloads (calculated since 02 Oct 2014)

Cited

Saved (final revised paper)

Discussed (final revised paper)

Latest update: 24 Apr 2024
Download
Short summary
Non-Gaussian joint PDFs and Shannon negentropies allow for nonlinear correlations and synergetic interaction information among random variables. Third-order cross-cumulants (triadic correlations -- TCs) under pair-wise (total or partial) independence are maximized on projections and orthogonal rotations of the full PDF. Fourier analysis allows decomposing TCs as wave resonant triads working as non-Gaussian sources of dynamical predictability. An illustration is given in a minimal fluid model.