Acta Univ. Agric. Silvic. Mendelianae Brun. 2011, 59(7), 469-476 | DOI: 10.11118/actaun201159070469

Vectorised Spreading Activation algorithm for centrality measurement

Alexander Troussov1, František Dařena2, Jan Žižka2, Denis Parra3, Peter Brusilovsky3
1 IBM Dublin Center for Advanced Studies, IBM Ireland
2 Ústav informatiky / SoNet Research Center, Mendelova univerzita v Brně, Zemědělská 1, 613 00 Brno
3 University of Pittsburgh, School of Information Sciences, University of Pittsburgh, 135 North Bellefield Ave., Pittsburgh, PA 15260, USA

Spreading Activation is a family of graph-based algorithms widely used in areas such as information retrieval, epidemic models, and recommender systems. In this paper we introduce a novel Spreading Activation (SA) method that we call Vectorised Spreading Activation (VSA). VSA algorithms, like "traditional" SA algorithms, iteratively propagate the activation from the initially activated set of nodes to the other nodes in a network through outward links. The level of the node's activation could be used as a centrality measurement in accordance with dynamic model-based view of centrality that focuses on the outcomes for nodes in a network where something is flowing from node to node across the edges. Representing the activation by vectors allows the use of the information about various dimensionalities of the flow and the dynamic of the flow. In this capacity, VSA algorithms can model multitude of complex multidimensional network flows. We present the results of numerical simulations on small synthetic social networks and multidimensional network models of folksonomies which show that the results of VSA propagation are more sensitive to the positions of the initial seed and to the community structure of the network than the results produced by traditional SA algorithms. We tentatively conclude that the VSA methods could be instrumental to develop scalable and computationally efficient algorithms which could achieve synergy between computation of centrality indexes with detection of community structures in networks. Based on our preliminary results and on improvements made over previous studies, we foresee advances and applications in the current state of the art of this family of algorithms and their applications to centrality measurement.

Keywords: centrality, network flow, spreading activation, graph-based methods, recommender systems, data mining
Grants and funding:

This paper is supported by the Research program of Czech Ministry of Education number VZ MSM 6215648904/03/03/05.

Received: February 25, 2011; Published: January 26, 2014  Show citation

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Troussov, A., Dařena, F., Žižka, J., Parra, D., & Brusilovsky, P. (2011). Vectorised Spreading Activation algorithm for centrality measurement. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis59(7), 469-476. doi: 10.11118/actaun201159070469
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References

  1. BIEMANN, C., 2006: Chinese Whispers - An Efficient Graph Clustering Algorithm And Its Application To Natural Language Processing Problems. TextGraphs Workshop On Graph Based Methods For Natural Language Processing.
  2. BORGATTI, S. P., 2005: Centrality and network flow. Social Networks, 27, 1: 55-71. DOI: 10.1016/j.socnet.2004.11.008 Go to original source...
  3. BORGATTI, S., EVERETT, M., 2006: A graph-theoretic perspective on centrality. Social Networks, 28, 4: 466-484. DOI: 10.1016/j.socnet.2005.11.005 Go to original source...
  4. CATTUT, C., SCHMITZ, C., BALDASSARRI, A., SERVEDIO, V. D. P., LORETO, V., HOTHO, A., GRAHL, M., STUMME, G., 2007: Network properties of folksonomies. AI Communications, 20, 4: 245-262.
  5. CRESTANI, F., 1997: Application of Spreading Activation Techniques in Information Retrieval. Artificial Intelligence Review, 11, 6: 453-482. DOI: 10.1023/A:1006569829653 Go to original source...
  6. DAŘENA, F., TROUSSOV, A., ŽIŽKA, J., 2010: Simulating activation propagation in social networks using the graph theory. Acta univ. agric. et silvic. Mendel. Brun., LVIII, 3: 21-28. DOI: 10.11118/actaun201058030021 Go to original source...
  7. GIRVAN, M., NEWMAN, M. E. J., 2002: Community structure in social and biological networks. Proceedings of the National Academy of Sciences of the United States of America, 99, 12: 7821-7826. DOI: 10.1073/pnas.122653799 Go to original source...
  8. HASTIE, T., TIBSHIRANI, R., FRIEDMAN, J., 2009: The Elements of Statistical Learning. Springer series in statistics.
  9. HOTHO, A., JASCHKE, R., SCHMITZ, C., STUMME, G., 2006: Information retrieval in folksonomies: Search and ranking. Lecture Notes in Computer Science, 4011: 411-426. DOI: 10.1007/11762256_31 Go to original source...
  10. ROCHA, C, SCHWABE, D., POGGI DE ARAGAO, M., 2004: A Hybrid Approach for Searching in the Semantic Web. Proceedings of the 13th international conference on World Wide Web, New York: 374-383. Go to original source...
  11. RÜBENKÖNIG, O., 2006: The Finite Difference Method (FDM) - An introduction. Albert Ludwigs University of Freiburg.
  12. SCHIFF, J. L., 2008: Cellular automata; a discrete view of the world. Wiley-Interscience. Go to original source...
  13. STEIN, B., NIGEMMAN, O., 1999: On the nature of structure and its identification. Lecture Notes in Computer Science, 1665: 122-134. DOI: 10.1007/3-540-46784-X_13 Go to original source...
  14. TROPMAN, J. E., ERLICH, J. L., ROTHMAN, J., 2006: Tactics and Techniques of Community Intervention. Wadsworth Publishing.
  15. TROUSSOV, A., LEVNER. E., BOGDAN, C., JUDGE, J., BOTVICH, D., 2009: Spreading Activation Methods. In: Shawkat A., Xiang, Y. (Eds). Dynamic and Advanced Data Mining for Progressing Technological Development, IGI Global. Go to original source...
  16. TROUSSOV, A., PARRA, D., BRUSILOVSKY, P., 2009: Spreading Activation Approach to Tag-aware Recommenders: Modeling Similarity on Multidimensional Networks. In: Jannach et al. (Eds.) Proceedings of Workshop on Recommender Systems and the Social Web at the 2009 ACM conference on Recommender systems.
  17. WAL, T. V., 2007: Folksonomy Coinage Definition. http://vanderwal.net/folksonomy.html.
  18. WASSERMAN, S., FAUST, K., 1994: Social network analysis: methods and applications. Cambridge: Cambridge University Press. Go to original source...
  19. WOLFRAM, S., 2002: A New Kind of Science. Wolfram Media. ISBN 1-57955-008-8.

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