Bursting activity spreading through asymmetric interactions

Tomokatsu Onaga, Shigeru Shinomoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

People communicate with those who have the same background or share a common interest by using a social networking service (SNS). News or messages propagate through inhomogeneous connections in an SNS by sharing or facilitating additional comments. Such human activity is known to lead to endogenous bursting in the rate of message occurrences. We analyze a multi-dimensional self-exciting process to reveal dependence of the bursting activity on the topology of connections and the distribution of interaction strength on the connections. We determine the critical conditions for the cases where interaction strength is regulated at either the point of input or output for each person. In the input regulation condition, the network may exhibit bursting with infinitesimal interaction strength, if the dispersion of the degrees diverges as in the scale-free networks. In contrast, in the output regulation condition, the critical value of interaction strength, represented by the average number of events added by a single event, is a constant 1-1/v2 0.3, independent of the degree dispersion. Thus, the stability in human activity crucially depends on not only the topology of connections but also the manner in which interactions are distributed among the connections.

Original languageEnglish
Title of host publicationProceedings - 10th International Conference on Signal-Image Technology and Internet-Based Systems, SITIS 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages388-395
Number of pages8
ISBN (Electronic)9781479979783
DOIs
Publication statusPublished - 2014 Jan 1
Externally publishedYes
Event10th International Conference on Signal-Image Technology and Internet-Based Systems, SITIS 2014 - Marrakech, Morocco
Duration: 2014 Nov 232014 Nov 27

Other

Other10th International Conference on Signal-Image Technology and Internet-Based Systems, SITIS 2014
CountryMorocco
CityMarrakech
Period14/11/2314/11/27

Keywords

  • Bursting activity
  • Information dynamics
  • Point process
  • Social network

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Signal Processing
  • Computer Networks and Communications

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  • Cite this

    Onaga, T., & Shinomoto, S. (2014). Bursting activity spreading through asymmetric interactions. In Proceedings - 10th International Conference on Signal-Image Technology and Internet-Based Systems, SITIS 2014 (pp. 388-395). [7081575] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SITIS.2014.66