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Market Basket Analysis Using Minimum Spanning Trees

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Abstract

Marketing efforts and store layout could benefit from studying purchases that commonly happen together. This type of studies are commonly referred to as market basket analysis (MBA). In this work, a market basket methodology based on minimum spanning trees (MST) is presented. Because of the wide variety of products in a typical grocery store, and the heterogeneity of consumer shopping behavior, MBA is a complex task, from a computational point of view, and for subsequent interpretations of the results. The proposed methodology simplifies significantly the process of finding sets of products that have high co-occurrence in the market basket of the consumers, that is, products that are bought together. The resulting MST as a visual representation that connects all products with a high correlation to each other is easy to interpret and becomes a powerful tool to propose marketing actions. This solution turns out to be a complement with the traditional association rules used for MBA.

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References

  1. Agrawal, R., Srikant, R.: Fast algorithm for mining association rules in large database. Tech. rep., Research report RJ 9839, IBM Almaden Research Center, Santiago, Chile (1994)

    Google Scholar 

  2. Agrawal, R., Srikant, R.: Fast algorithm for mining association rules in large database. Customer Contact World Magazine, pp. 26–31 (2000)

    Google Scholar 

  3. Barabasi, A.: Scale-free networks: a decade and beyond. Science 325(5939), 412–413 (2009)

    Article  Google Scholar 

  4. Birch, J., Pantelous, A.A., Soramaki, K.: Analysis of correlation based networks representing dax 30 stock price returns. Pers. Psychol. 47(4), 501–525 (2016)

    Google Scholar 

  5. Blondel, V.D., Guillaume, J.L., Lambiotte, R., Lefebvre, E.: Fast unfolding of communities in large networks. J. Stat. Mech: Theory Exp. 2008(10), P10008 (2008). http://stacks.iop.org/1742-5468/2008/i=10/a=P10008

    Article  Google Scholar 

  6. Bonanno, G., Caldarelli, G., Lillo, F., Mantegna, R. N.: Topology of correlation-based minimal spanning trees in real and model markets. Physical Review E. 68(4), 046130 (2003). DOI: www.10.1103/PhysRevE.68.046130

    Google Scholar 

  7. Brin, S., Motwani, R., Silverstein, C.: Beyond market baskets: generalizing association rules to correlations. In: Proceedings of the 1997 ACM SIGMOD International Conference on Management of Data, vol. 26, pp. 265–276. ACM, New York (1997)

    Article  Google Scholar 

  8. Clauset, A., Newman, M.E.J., Moore, C.: Finding community structure in very large networks. Phys. Rev. E 70(6), 066111 (2004)

    Article  Google Scholar 

  9. Graham, R.L., Hell, P.: On the history of the minimum spanning tree problem. Ann. Hist. Comput. 7(1), 43–57 (1985)

    Article  Google Scholar 

  10. Hahsler, M., Hornik, K., Reutterer, T.: Implications of probabilistic data modeling for mining association rules. In: From Data and Information Analysis to Knowledge Engineering, pp. 598–605. Springer, Berlin (2006)

    Google Scholar 

  11. Klementtinen, M., Mannila, H., Ronkainen, P., Toivonen, H., Verkamo, A.I.: Finding interesting rules from large sets of discovered association rules. In: Proceedings of the Third International Conference on Information and Knowledge Management, pp. 401–407 (1994)

    Google Scholar 

  12. Knobbe, A.J., Adriaans, P.W.: Analysing binary associations. In: Proceedings of KDD, vol. 96, p. 311 (1996)

    Google Scholar 

  13. Kolaczyk, E.D., Csárdi, G.: Statistical Analysis of Network Data with R. Springer, Berlin (2014)

    Book  Google Scholar 

  14. Linoff, G., Berry, M.: Data Mining Techniques: For Marketing, Sales, and Customer Relationship Management. Wiley, New York (2011)

    Google Scholar 

  15. Mantegna, R.N.: Hierarchical structure in financial markets. Eur. Phys. J. B 11(1), 193–197 (1999)

    Article  Google Scholar 

  16. Newman, M.: Finding community structure in networks using the eigenvectors of matrices. Phys. Rev. E 74(3), 036104 (2004)

    Article  Google Scholar 

  17. Onnela, J.P., Kaski, K., Kertész, J.: Clustering and information in correlation based financial networks. Eur. Phys. J. B 38(2), 353–362 (2004)

    Article  Google Scholar 

  18. Raeder, T., Chawla, N.V.: Modeling a store’s product space as a social network. In: International Conference on Advances in Social Network Analysis and Mining, pp. 164–169. IEEE, New York (2009)

    Google Scholar 

  19. Raeder, T., Chawla, N.V.: Market basket analysis with networks. Soc. Netw. Anal. Min. 1(2), 97–113 (2011)

    Article  Google Scholar 

  20. Videla-Cavieres, I.F., Ríos, S.A.: Extending market basket analysis with graph mining techniques: a real case. Expert Syst. Appl. 41(4), 1928–1936 (2014)

    Article  Google Scholar 

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Acknowledgements

This work was supported by Fondecyt Research Scholarship (Chile), grant No: 11160072.

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Correspondence to Mauricio A. Valle .

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Valle, M.A., Ruz, G.A., Morrás, R. (2018). Market Basket Analysis Using Minimum Spanning Trees. In: Alhajj, R., Hoppe, H., Hecking, T., Bródka, P., Kazienko, P. (eds) Network Intelligence Meets User Centered Social Media Networks. ENIC 2017. Lecture Notes in Social Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-90312-5_11

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  • DOI: https://doi.org/10.1007/978-3-319-90312-5_11

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