Articles | Volume 22, issue 1
https://doi.org/10.5194/npg-22-87-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-22-87-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
03 Feb 2015
Research article |
| 03 Feb 2015
Non-Gaussian interaction information: estimation, optimization and diagnostic application of triadic wave resonance
Instituto Dom Luiz (IDL), Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisbon, Portugal
R. A. P. Perdigão
Institute of Hydraulic Engineering and Water Resources Management, Vienna University of Technology, Vienna, Austria
Viewed
Total article views: 3,469 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 02 Oct 2014)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,675 | 1,562 | 232 | 3,469 | 209 | 195 |
- HTML: 1,675
- PDF: 1,562
- XML: 232
- Total: 3,469
- BibTeX: 209
- EndNote: 195
Total article views: 2,807 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 03 Feb 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,410 | 1,193 | 204 | 2,807 | 198 | 184 |
- HTML: 1,410
- PDF: 1,193
- XML: 204
- Total: 2,807
- BibTeX: 198
- EndNote: 184
Total article views: 662 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 02 Oct 2014)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 265 | 369 | 28 | 662 | 11 | 11 |
- HTML: 265
- PDF: 369
- XML: 28
- Total: 662
- BibTeX: 11
- EndNote: 11
Cited
14 citations as recorded by crossref.
- Separation of the atmospheric variability into non-Gaussian multidimensional sources by projection pursuit techniques C. Pires & A. Ribeiro 10.1007/s00382-016-3112-9
- Nonlinear causal dependencies as a signature of the complexity of the climate dynamics S. Vannitsem et al. 10.5194/esd-16-703-2025
- The multidecadal component of the Mediterranean summer variability M. OrtizBevia et al. 10.1007/s00382-016-3341-y
- Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO C. Pires & A. Hannachi 10.1080/16000870.2020.1866393
- Dynamics of the flood response to slow-fast landscape-climate feedbacks R. Perdigão & G. Blöschl 10.5194/piahs-370-125-2015
- Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence R. Perdigão 10.3390/e20010026
- Turbulence as a Network of Fourier Modes Ö. Gürcan et al. 10.3390/math8040530
- Towards a Generalized Cayley–Dickson Construction through Involutive Dimagmas N. Martins-Ferreira & R. Perdigão 10.3390/math12070996
- Independent Subspace Analysis of the Sea Surface Temperature Variability: Non-Gaussian Sources and Sensitivity to Sampling and Dimensionality C. Pires & A. Hannachi 10.1155/2017/3076810
- A general theory to estimate Information transfer in nonlinear systems C. Pires et al. 10.1016/j.physd.2023.133988
- Identification of coherent flood regions across Europe by using the longest streamflow records L. Mediero et al. 10.1016/j.jhydrol.2015.06.016
- Land use change impacts on floods at the catchment scale: Challenges and opportunities for future research M. Rogger et al. 10.1002/2017WR020723
- Extending ensemble Kalman filter algorithms to assimilate observations with an unknown time offset E. Gorokhovsky & J. Anderson 10.5194/npg-30-37-2023
- Increasing river floods: fiction or reality? G. Blöschl et al. 10.1002/wat2.1079
13 citations as recorded by crossref.
- Separation of the atmospheric variability into non-Gaussian multidimensional sources by projection pursuit techniques C. Pires & A. Ribeiro 10.1007/s00382-016-3112-9
- Nonlinear causal dependencies as a signature of the complexity of the climate dynamics S. Vannitsem et al. 10.5194/esd-16-703-2025
- The multidecadal component of the Mediterranean summer variability M. OrtizBevia et al. 10.1007/s00382-016-3341-y
- Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO C. Pires & A. Hannachi 10.1080/16000870.2020.1866393
- Dynamics of the flood response to slow-fast landscape-climate feedbacks R. Perdigão & G. Blöschl 10.5194/piahs-370-125-2015
- Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence R. Perdigão 10.3390/e20010026
- Turbulence as a Network of Fourier Modes Ö. Gürcan et al. 10.3390/math8040530
- Towards a Generalized Cayley–Dickson Construction through Involutive Dimagmas N. Martins-Ferreira & R. Perdigão 10.3390/math12070996
- Independent Subspace Analysis of the Sea Surface Temperature Variability: Non-Gaussian Sources and Sensitivity to Sampling and Dimensionality C. Pires & A. Hannachi 10.1155/2017/3076810
- A general theory to estimate Information transfer in nonlinear systems C. Pires et al. 10.1016/j.physd.2023.133988
- Identification of coherent flood regions across Europe by using the longest streamflow records L. Mediero et al. 10.1016/j.jhydrol.2015.06.016
- Land use change impacts on floods at the catchment scale: Challenges and opportunities for future research M. Rogger et al. 10.1002/2017WR020723
- Extending ensemble Kalman filter algorithms to assimilate observations with an unknown time offset E. Gorokhovsky & J. Anderson 10.5194/npg-30-37-2023
1 citations as recorded by crossref.
Saved (final revised paper)
Latest update: 07 Jun 2025
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.
Non-Gaussian joint PDFs and Shannon negentropies allow for nonlinear correlations and synergetic...
