Agarwal, Ankit, Maheswaran, Rathinasamy, Marwan, Norbert, Caesar, Levke and Kurths, Jurgen (2018) Wavelet-based multiscale similarity measure for complex networks. European Phyical Journal B, 91 (296). ISSN 1434-6028
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Abstract
In recent years, complex network analysis facilitated the identification of universal and unexpected patterns in complex climate systems. However, the analysis and representation of a multiscale
complex relationship that exists in the global climate system are limited. A logical first step in addressing
this issue is to construct multiple networks over different timescales. Therefore, we propose to apply the
wavelet multiscale correlation (WMC) similarity measure, which is a combination of two state-of-the-art
methods, viz. wavelet and Pearson’s correlation, for investigating multiscale processes through complex
networks. Firstly we decompose the data over different timescales using the wavelet approach and subsequently construct a corresponding network by Pearson’s correlation. The proposed approach is illustrated
and tested on two synthetics and one real-world example. The first synthetic case study shows the efficacy
of the proposed approach to unravel scale-specific connections, which are often undiscovered at a single
scale. The second synthetic case study illustrates that by dividing and constructing a separate network for
each time window we can detect significant changes in the signal structure. The real-world example investigates the behavior of the global sea surface temperature (SST) network at different timescales. Intriguingly,
we notice that spatial dependent structure in SST evolves temporally. Overall, the proposed measure has
an immense potential to provide essential insights on understanding and extending complex multivariate
process studies at multiple scales.
Item Type: | Article |
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Keywords: | wavelet-based; multiscale; measure; complex networks; |
Academic Unit: | Faculty of Social Sciences > Geography Faculty of Social Sciences > Research Institutes > Irish Climate Analysis and Research Units, ICARUS |
Item ID: | 13175 |
Identification Number: | 10.1140/epjb/e2018-90460-6 |
Depositing User: | Levke Caesar |
Date Deposited: | 07 Aug 2020 19:49 |
Journal or Publication Title: | European Phyical Journal B |
Publisher: | EDP Sciences |
Refereed: | Yes |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/13175 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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