Data Mining and Knowledge Discovery

, Volume 32, Issue 5, pp 1397–1420 | Cite as

Dynamic graph summarization: a tensor decomposition approach

  • Sofia FernandesEmail author
  • Hadi Fanaee-T
  • João Gama
Part of the following topical collections:
  1. Journal Track of ECML PKDD 2018


Due to the scale and complexity of todays’ social networks, it becomes infeasible to mine them with traditional approaches. A possible solution to reduce such scale and complexity is to produce a compact (lossy) version of the network that represents its major properties. This task is known as graph summarization, which is the subject of this research. Our focus is on time-evolving graphs, a more complex scenario where the dynamics of the network also should be taken into account. We address this problem using tensor decomposition, which enables us to capture the multi-way structure of the time-evolving network. This property is unique and is impossible to obtain with other approaches such as matrix factorization. Experimental evaluation on five real world networks implies promising results demonstrating that tensor decomposition is quite useful for summarizing dynamic networks.


Graph summarization Time-evolving networks Tensor decomposition 



This work is financed by the ERDF - European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation - COMPETE 2020 Programme within project POCI-01-0145-FEDER-006961, and by National Funds through the FCT - Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) as part of project UID/EEA/50014/2013. Sofia Fernandes also acknowledges the support of FCT via the PhD scholarship PD/BD/114189/2016. The authors would also like to acknowledge the SocioPatterns collaboration for making the Infectious Patterns dataset available.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.LIAAD, INESC TECUniversity of PortoPortoPortugal
  2. 2.Department of BiostatisticsUniversity of OsloOsloNorway

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