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Multiple scale analysis of complex networks using the empirical mode decomposition method

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  • Li, KePing
  • Gao, ZiYou
  • Zhao, XiaoMei

Abstract

Empirical mode decomposition (EMD) method can decompose any complicated data into finite ‘intrinsic mode functions’ (IMFs). In this paper, we use EMD method to analyze and discuss the structural properties of complex networks. A random-walk method is used to collect the data series of network systems. Utilizing the EMD method, we decompose the obtained data into finite IMFs under different spatial scales. The analysis results show that EMD method is an effective tool for capturing the topological properties of network systems under different spatial scales, such as the modular structures of network systems and their energy densities.

Suggested Citation

  • Li, KePing & Gao, ZiYou & Zhao, XiaoMei, 2008. "Multiple scale analysis of complex networks using the empirical mode decomposition method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2981-2986.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:2981-2986
    DOI: 10.1016/j.physa.2008.01.036
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    Cited by:

    1. Chen, Mu-Chen & Wei, Yu, 2011. "Exploring time variants for short-term passenger flow," Journal of Transport Geography, Elsevier, vol. 19(4), pages 488-498.

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