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
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Cited
15 citations as recorded by crossref.
- Separation of the atmospheric variability into non-Gaussian multidimensional sources by projection pursuit techniques C. Pires & A. Ribeiro https://doi.org/10.1007/s00382-016-3112-9
- Nonlinear causal dependencies as a signature of the complexity of the climate dynamics S. Vannitsem et al. https://doi.org/10.5194/esd-16-703-2025
- The multidecadal component of the Mediterranean summer variability M. OrtizBevia et al. https://doi.org/10.1007/s00382-016-3341-y
- Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO C. Pires & A. Hannachi https://doi.org/10.1080/16000870.2020.1866393
- Dynamics of the flood response to slow-fast landscape-climate feedbacks R. Perdigão & G. Blöschl https://doi.org/10.5194/piahs-370-125-2015
- How to Capture Synchronization in Triads in One Single Measure: Development of the AMPC Measure and an Associated Significance Test S. Wang et al. https://doi.org/10.1080/00273171.2025.2522732
- Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence R. Perdigão https://doi.org/10.3390/e20010026
- Turbulence as a Network of Fourier Modes Ö. Gürcan et al. https://doi.org/10.3390/math8040530
- Towards a Generalized Cayley–Dickson Construction through Involutive Dimagmas N. Martins-Ferreira & R. Perdigão https://doi.org/10.3390/math12070996
- Possibility of SWE estimation from snow cover extent using the dynamic non-Gaussian snow depletion curve N. Ohara & R. Perdigão https://doi.org/10.1016/j.jhydrol.2026.135981
- Independent Subspace Analysis of the Sea Surface Temperature Variability: Non-Gaussian Sources and Sensitivity to Sampling and Dimensionality C. Pires & A. Hannachi https://doi.org/10.1155/2017/3076810
- A general theory to estimate Information transfer in nonlinear systems C. Pires et al. https://doi.org/10.1016/j.physd.2023.133988
- Identification of coherent flood regions across Europe by using the longest streamflow records L. Mediero et al. https://doi.org/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. https://doi.org/10.1002/2017WR020723
- Extending ensemble Kalman filter algorithms to assimilate observations with an unknown time offset E. Gorokhovsky & J. Anderson https://doi.org/10.5194/npg-30-37-2023
15 citations as recorded by crossref.
- Separation of the atmospheric variability into non-Gaussian multidimensional sources by projection pursuit techniques C. Pires & A. Ribeiro https://doi.org/10.1007/s00382-016-3112-9
- Nonlinear causal dependencies as a signature of the complexity of the climate dynamics S. Vannitsem et al. https://doi.org/10.5194/esd-16-703-2025
- The multidecadal component of the Mediterranean summer variability M. OrtizBevia et al. https://doi.org/10.1007/s00382-016-3341-y
- Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO C. Pires & A. Hannachi https://doi.org/10.1080/16000870.2020.1866393
- Dynamics of the flood response to slow-fast landscape-climate feedbacks R. Perdigão & G. Blöschl https://doi.org/10.5194/piahs-370-125-2015
- How to Capture Synchronization in Triads in One Single Measure: Development of the AMPC Measure and an Associated Significance Test S. Wang et al. https://doi.org/10.1080/00273171.2025.2522732
- Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence R. Perdigão https://doi.org/10.3390/e20010026
- Turbulence as a Network of Fourier Modes Ö. Gürcan et al. https://doi.org/10.3390/math8040530
- Towards a Generalized Cayley–Dickson Construction through Involutive Dimagmas N. Martins-Ferreira & R. Perdigão https://doi.org/10.3390/math12070996
- Possibility of SWE estimation from snow cover extent using the dynamic non-Gaussian snow depletion curve N. Ohara & R. Perdigão https://doi.org/10.1016/j.jhydrol.2026.135981
- Independent Subspace Analysis of the Sea Surface Temperature Variability: Non-Gaussian Sources and Sensitivity to Sampling and Dimensionality C. Pires & A. Hannachi https://doi.org/10.1155/2017/3076810
- A general theory to estimate Information transfer in nonlinear systems C. Pires et al. https://doi.org/10.1016/j.physd.2023.133988
- Identification of coherent flood regions across Europe by using the longest streamflow records L. Mediero et al. https://doi.org/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. https://doi.org/10.1002/2017WR020723
- Extending ensemble Kalman filter algorithms to assimilate observations with an unknown time offset E. Gorokhovsky & J. Anderson https://doi.org/10.5194/npg-30-37-2023
Saved (final revised paper)
Latest update: 30 Sep 2026
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...
