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Symmetric Item Set Mining Based on Zero-Suppressed BDDs

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4265))

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Abstract

In this paper, we propose a method for discovering hidden information from large-scale item set data based on the symmetry of items. Symmetry is a fundamental concept in the theory of Boolean functions, and there have been developed fast symmetry checking methods based on BDDs (Binary Decision Diagrams). Here we discuss the property of symmetric items in data mining problems, and describe an efficient algorithm based on ZBDDs (Zero-suppressed BDDs). The experimental results show that our ZBDD-based symmetry checking method is efficiently applicable to the practical size of benchmark databases.

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References

  1. Agrawal, R., Imielinski, T., Swami, A.N.: Mining Association rules between sets of items in large databases. In: Buneman, P., Jajodia, S. (eds.) Proc. of the 1993 ACM SIGMOD International Conference on Management of Data. SIGMOD Record, vol. 22(2), pp. 207–216. ACM Press, New York (1993)

    Chapter  Google Scholar 

  2. Bryant, R.E.: Graph-based algorithms for Boolean function manipulation. IEEE Trans. Comput. C-35(8), 677–691 (1986)

    Google Scholar 

  3. Goethals, B.: Survey on Frequent Pattern Mining, Manuscript (2003), http://www.cs.helsinki.fi/u/goethals/publications/survey.ps

  4. Goethals, B., Zaki, M.J. (eds.): Frequent Itemset Mining Dataset Repository. In: Frequent Itemset Mining Implementations (FIMI 2003) (2003), http://fimi.cs.helsinki.fi/data/

  5. Kettle, N., King, A.: An Anytime Symmetry Detection Algorithm for ROBDDs.’. In: Proc. IEEE/ACM 11th Asia and South Pacific Design Automation Conference (ASPDAC 2006), pp. 243–248 (January 2006)

    Google Scholar 

  6. Minato, S.: Zero-suppressed BDDs for set manipulation in combinatorial problems. In: Proc. 30th ACM/IEEE Design Automation Conf. (DAC 1993), pp. 272–277 (1993)

    Google Scholar 

  7. Minato, S., Arimura, H.: Efficient Combinatorial Item Set Analysis Based on Zero-Suppressed BDDs. In: IEEE/IEICE/IPSJ International Workshop on Challenges in Web Information Retrieval and Integration (WIRI 2005), pp. 3–10 (April 2005)

    Google Scholar 

  8. Minato, S.: Finding Simple Disjoint Decompositions in Frequent Itemset Data Using Zero-suppressed BDD’. In: Proc. of IEEE ICDM 2005 workshop on Computational Intelligence in Data Mining, pp. 3–11 (November 2005) ISBN-0-9738918-5-8

    Google Scholar 

  9. Mishchenko, A.: Fast Computation of Symmetries in Boolean Functions. IEEE Trans. Computer-Aided Design 22(11), 1588–1593 (2003)

    Article  Google Scholar 

  10. Uno, T., Asai, T., Uchida, Y., Arimura, H.: An efficient algorithm for enumerating closed patterns in transaction databases. In: Suzuki, E., Arikawa, S. (eds.) DS 2004. LNCS, vol. 3245, pp. 16–31. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Minato, Si. (2006). Symmetric Item Set Mining Based on Zero-Suppressed BDDs. In: Todorovski, L., Lavrač, N., Jantke, K.P. (eds) Discovery Science. DS 2006. Lecture Notes in Computer Science(), vol 4265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893318_35

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  • DOI: https://doi.org/10.1007/11893318_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46491-4

  • Online ISBN: 978-3-540-46493-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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