Efficient estimation of influence functions for SIS model on social networks

  • Authors:
  • Masahiro Kimura;Kazumi Saito;Hiroshi Motoda

  • Affiliations:
  • Department of Electronics and Informatics, Ryukoku University;School of Administration and Informatics, University of Shizuoka;Institute of Scientific and Industrial Research, Osaka University

  • Venue:
  • IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
  • Year:
  • 2009

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Abstract

We address the problem of efficiently estimating the influence function of initially activated nodes in a social network under the susceptible/ infected/susceptible (SIS) model, a diffusion model where nodes are allowed to be activated multiple times. The computational complexity drastically increases because of this multiple activation property. We solve this problem by constructing a layered graph from the original social network with each layer added on top as the time proceeds, and applying the bond percolation with a pruning strategy. We show that the computational complexity of the proposed method is much smaller than the conventional naive probabilistic simulation method by a theoretical analysis and confirm this by applying the proposed method to two real world networks.