Time-series-based prediction of complex oscillator networks via compressive sensing

Wen Xu Wang, Rui Yang, Ying Cheng Lai, Vassilios Kovanis, Mary Ann F Harrison

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

Complex dynamical networks consisting of a large number of interacting units are ubiquitous in nature and society. There are situations where the interactions in a network of interest are unknown and one wishes to reconstruct the full topology of the network through measured time series. We present a general method based on compressive sensing. In particular, by using power series expansions to arbitrary order, we demonstrate that the network-reconstruction problem can be casted into the form X=Ga, where the vector X and matrix G are determined by the time series and a is a sparse vector to be estimated that contains all nonzero power series coefficients in the mathematical functions of all existing couplings among the nodes. Since a is sparse, it can be solved by the standard L1-norm technique in compressive sensing. The main advantages of our approach include sparse data requirement and broad applicability to a variety of complex networked dynamical systems, and these are illustrated by concrete examples of model and real-world complex networks.

Original languageEnglish
Article number48006
JournalEPL
Volume94
Issue number4
DOIs
Publication statusPublished - May 2011
Externally publishedYes

Fingerprint

oscillators
predictions
power series
series expansion
norms
dynamical systems
topology
requirements
coefficients
matrices
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Wang, W. X., Yang, R., Lai, Y. C., Kovanis, V., & Harrison, M. A. F. (2011). Time-series-based prediction of complex oscillator networks via compressive sensing. EPL, 94(4), [48006]. https://doi.org/10.1209/0295-5075/94/48006

Time-series-based prediction of complex oscillator networks via compressive sensing. / Wang, Wen Xu; Yang, Rui; Lai, Ying Cheng; Kovanis, Vassilios; Harrison, Mary Ann F.

In: EPL, Vol. 94, No. 4, 48006, 05.2011.

Research output: Contribution to journalArticle

Wang, WX, Yang, R, Lai, YC, Kovanis, V & Harrison, MAF 2011, 'Time-series-based prediction of complex oscillator networks via compressive sensing', EPL, vol. 94, no. 4, 48006. https://doi.org/10.1209/0295-5075/94/48006
Wang, Wen Xu ; Yang, Rui ; Lai, Ying Cheng ; Kovanis, Vassilios ; Harrison, Mary Ann F. / Time-series-based prediction of complex oscillator networks via compressive sensing. In: EPL. 2011 ; Vol. 94, No. 4.
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