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International Workshop on Complex Networks and their Applications

COMPLEX NETWORKS 2016 2016: Complex Networks & Their Applications V pp 473–485Cite as

Least Squares Method for Diffusion Source Localization in Complex Networks

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 693))

Abstract

Studying diffusion process in complex networks has become an important issue nowadays. This issue has been addressed for different objectives, including quickly detecting the diffusion outbreak, blocking the propagation, and localizing the diffusion source. In this paper, we are mainly interested in developing an efficient algorithm to estimate both the source and the start time of the diffusion, under the constraint that only a subset of nodes can be observed. In doing so, we use the Ordinary Least Squares method (OLS) on the data gathered at observers, taking advantage of the linear correlation between the relative infection time of a node and its effective distance from the source (Brockman [2]). The proposed algorithm ensures an estimation at few hops from the actual source. We show its efficiency through numerical simulations on both synthetic and real networks.

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Author information

Authors and Affiliations

  1. Computer Sciences Department, University of Bejaia, Bejaia, Algeria

    Mohammed Lalou

  2. Institute of Sciences and Technology, University Center of Mila, Mila, Algeria

    Mohammed Lalou

  3. LIRIS, UMR5205 CNRS, University of Claude Bernard Lyon1, Lyon, France

    Mohammed Lalou & Hamamache Kheddouci

Authors
  1. Mohammed Lalou
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  2. Hamamache Kheddouci
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Corresponding author

Correspondence to Mohammed Lalou .

Editor information

Editors and Affiliations

  1. University of Burgundy , Dijon, France

    Hocine Cherifi

  2. Computer Science Department, University of Milan Computer Science Department, Milan, Italy

    Sabrina Gaito

  3. IMT Lucca , Lucca, Italy

    Walter Quattrociocchi

  4. Blanchardstown Business and Tech Park, Bell Labs-Nokia Blanchardstown Business and Tech Park, Blanchardstown, Ireland

    Alessandra Sala

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Lalou, M., Kheddouci, H. (2017). Least Squares Method for Diffusion Source Localization in Complex Networks. In: Cherifi, H., Gaito, S., Quattrociocchi, W., Sala, A. (eds) Complex Networks & Their Applications V. COMPLEX NETWORKS 2016 2016. Studies in Computational Intelligence, vol 693. Springer, Cham. https://doi.org/10.1007/978-3-319-50901-3_38

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  • DOI: https://doi.org/10.1007/978-3-319-50901-3_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50900-6

  • Online ISBN: 978-3-319-50901-3

  • eBook Packages: EngineeringEngineering (R0)

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