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

Pires, C. A. L.; Perdigão, R. A. P.

doi:https://doi.org/10.5194/npg-22-87-2015

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.

https://doi.org/10.5194/npg-22-87-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 22, issue 1

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

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Final revised paper (published on 03 Feb 2015)
Preprint (discussion started on 02 Oct 2014)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC C569: 'Review of ‘Non-Gaussian interaction information: estimation, optimization and diagnostic application of triadic wave resonances’ by Pires and Perdigao', Anonymous Referee #1, 19 Oct 2014
- AC C648: 'Reply to RC C569', Carlos Pires, 27 Nov 2014
RC C644: 'Detailed comments', Anonymous Referee #2, 27 Nov 2014
- AC C646: 'Reply to RC C644', Carlos Pires, 27 Nov 2014

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Carlos Pires on behalf of the Authors (04 Dec 2014) Author's response

ED: Publish as is (06 Jan 2015) by Jinqiao Duan

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.