Skip to main content

An Automata Approach to Pattern Collections

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3377))

Abstract

Condensed representations of pattern collections have been recognized to be important building blocks of inductive databases, a promising theoretical framework for data mining, and recently they have been studied actively. However, there has not been much research on how condensed representations should actually be represented.

In this paper we study how condensed representations of frequent itemsets can be concretely represented: we propose the use of deterministic finite automata to represent pattern collections and study the properties of the automata representation. The automata representation supports visualization of the patterns in the collection and clustering of the patterns based on their structural properties and interestingness values. Furthermore, we show experimentally that finite automata provide a space-efficient way to represent itemset collections.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.) Proceedings of the 1993 ACM SIGMOD International Conference on Management of Data, Washington, D.C, May 26-28, pp. 207–216. ACM Press, New York (1993)

    Chapter  Google Scholar 

  2. Goethals, B., Zaki, M.J. (eds.): Proceedings of the Workshop on Frequent Itemset Mining Implementations (FIMI 2003), Melbourne Florida, USA, November 19. CEUR Workshop Proceedings, vol. 90 (2003), http://CEUR-WS.org/Vol-90/

  3. Mannila, H., Toivonen, H.: Multiple uses of frequent sets and condensed representations. In: Simoudis, E., Han, J., Fayyad, U.M. (eds.) Proceedings of the Second International Conference on Knowledge Discovery and Data Mining (KDD 1996), pp. 189–194. AAAI Press, Menlo Park (1996)

    Google Scholar 

  4. De Raedt, L.: A perspective on inductive databases. SIGKDD Explorations 4, 69–77 (2003)

    Article  Google Scholar 

  5. Imielinski, T., Mannila, H.: A database perspective on knowledge discovery. Communications of The ACM 39, 58–64 (1996)

    Article  Google Scholar 

  6. Mannila, H.: Inductive databases and condensed representations for data mining. In: Maluszynski, J. (ed.) Logic Programming, Proceedngs of the 1997 International Symposium, Port Jefferson, Long Island, N.Y., October 13-16, pp. 21–30. MIT Press, Cambridge (1997)

    Google Scholar 

  7. Gunopulos, D., Khardon, R., Mannila, H., Saluja, S., Toivonen, H., Sharma, R.S.: Discovering all most specific sentences. ACM Transactions on Database Systems 28, 140–174 (2003)

    Article  Google Scholar 

  8. Pasquier, N., Bastide, Y., Taouil, R., Lakhal, L.: Discovering frequent closed itemsets for association rules. In: Beeri, C., Bruneman, P. (eds.) ICDT 1999. LNCS, vol. 1540, pp. 398–416. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  9. Boulicaut, J.F., Bykowski, A., Rigotti, C.: Free-sets: a condensed representation of Boolean data for the approximation of frequency queries. Data Mining and Knowledge Discovery 7, 5–22 (2003)

    Article  MathSciNet  Google Scholar 

  10. Bykowski, A., Rigotti, C.: A condensed representation to find frequent patterns. In: Proceedings of the Twenteenth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, Santa Barbara, California, USA, May 21-23. ACM, New York (2001)

    Google Scholar 

  11. Kryszkiewicz, M.: Concise representation of frequent patterns based on disjunction-free generators. In: Cercone, N., Lin, T.Y., Wu, X. (eds.) Proceedings of the 2001 IEEE International Conference on Data Mining, San Jose, California, USA, November 29 - December 2, pp. 305–312. IEEE Computer Society Press, Los Alamitos (2001)

    Chapter  Google Scholar 

  12. Calders, T., Goethals, B.: Minimal k-free representations of frequent sets. In: [31], pp. 71–82

    Google Scholar 

  13. Calders, T., Goethals, B.: Mining all non-derivable frequent itemsets. In: Elomaa, T., Mannila, H., Toivonen, H. (eds.) PKDD 2002. LNCS (LNAI), vol. 2431, pp. 74–85. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  14. Pei, J., Dong, G., Zou, W., Han, J.: On computing condensed pattern bases. In: Kumar, V., Tsumoto, S. (eds.) Proceedings of the 2002 IEEE International Conference on Data Mining (ICDM 2002), Maebashi City, Japan, December 9-12, pp. 378–385. IEEE Computer Society, Los Alamitos (2002)

    Google Scholar 

  15. Mielikäinen, T., Mannila, H.: The pattern ordering problem. In: [31], pp. 327–338

    Google Scholar 

  16. Mielikäinen, T.: Chaining patterns. In: Grieser, G., Tanaka, Y., Yamamoto, A. (eds.) DS 2003. LNCS (LNAI), vol. 2843, pp. 233–244. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  17. Mielikäinen, T.: Implicit enumeration of patterns. In: Goethals, B., Siebes, A. (eds.) KDID 2004. LNCS, vol. 3377, pp. 150–172. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  18. Mielikäinen, T.: Separating structure from interestingness. In: Dai, H., Srikant, R., Zhang, C. (eds.) PAKDD 2004. LNCS (LNAI), vol. 3056, pp. 476–485. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  19. Vitter, J.S.: Design and analysis of dynamic huffman codes. Journal of the Association for Computing Machinery 34, 825–845 (1987)

    MATH  MathSciNet  Google Scholar 

  20. Agrawal, R., Mannila, H., Srikant, R., Toivonen, H., Verkamo, A.I.: Fast discovery of association rules. In: Fayyad, U.M., Piatetsky-Shapiro, G., Smyth, P., Uthurusamy, R. (eds.) Advances in Knowledge Discovery and Data Mining, pp. 307–328. AAAI/MIT Press (1996)

    Google Scholar 

  21. Hafez, A., Deogun, J., Raghavan, V.V.: The item-set tree: A data structure for data mining. In: Mohania, M., Tjoa, A.M. (eds.) DaWaK 1999. LNCS, vol. 1676, pp. 183–192. Springer, Heidelberg (1999)

    Google Scholar 

  22. Zaki, M.J.: Scalable algorithms for association mining. IEEE Transactions on Knowledge and Data Engineering 12, 372–390 (2000)

    Article  Google Scholar 

  23. Hopcroft, J.E., Motwani, R., Ullman, J.D.: Introduction to Auotmata Theory, Languages and Computation, 2nd edn. Addison-Wesley, Reading (2001)

    Google Scholar 

  24. Mannila, H., Toivonen, H.: Levelwise search and borders of theories in knowledge discovery. Data Mining and Knowledge Discovery 1, 241–258 (1997)

    Article  Google Scholar 

  25. Bollig, B., Wegener, I.: Improving the variable ordering of OBDDs is NP-complete. IEEE Transactions on Computers 45, 993–1002 (1996)

    Article  MATH  Google Scholar 

  26. Zantema, H., Bodlaender, H.L.: Finding small equivalent decision trees is hard. International Journal of Foundations of Computer Science 11, 343–354 (2000)

    Article  MathSciNet  Google Scholar 

  27. Bryant, R.E.: Symbolic boolean manipulation with ordered binary-decision diagrams. ACM Computing Surveys 24, 293–318 (1992)

    Article  Google Scholar 

  28. Revuz, D.: Minimisation of acyclic deterministic automata in linear time. Theoretical Computer Science 92, 181–189 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  29. Watson, B.W.: A new algorithm for the construction of minimal acyclic DFAs. Science of Computer Programming 48, 81–97 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  30. Mielikäinen, T.: Frequency-based views to pattern collections. In: Hammer, P.L. (ed.) Proceedings of the IFIP/SIAM Workshop on Discrete Mathematics and Data Mining, SIAM International Conference on Data Mining (2003), San Francisco, CA, USA, May 1-3. SIAM, Philadelphia (2003)

    Google Scholar 

  31. Lavrač, N., Gamberger, D., Todorovski, L., Blockeel, H. (eds.): PKDD 2003. LNCS (LNAI), vol. 2838. Springer, Heidelberg (2003)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mielikäinen, T. (2005). An Automata Approach to Pattern Collections. In: Goethals, B., Siebes, A. (eds) Knowledge Discovery in Inductive Databases. KDID 2004. Lecture Notes in Computer Science, vol 3377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31841-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31841-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25082-1

  • Online ISBN: 978-3-540-31841-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics