Skip to main content

An Algorithm for Extracting Rare Concepts with Concise Intents

  • Conference paper
Book cover Formal Concept Analysis (ICFCA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5986))

Included in the following conference series:

Abstract

This paper presents an algorithm for finding concepts (closures) with smaller supports. As suggested by the study of emerging patterns, contrast sets or crossover concepts, we regard less frequent and rare concepts.

However, we have several difficulties when we try to find concepts in those rare concepts. Firstly, there exist a large number of concepts closer to individual ones. Secondly, the lengths of intents become longer, involving many attributes at various levels of generality. Consequently, it becomes harder to understand what the concepts mean or represent.

In order to solve the above problems, we make a restriction on formation processes of concepts, where the formation is a flow of adding attributes to the present concepts already formed. The present concepts work as conditions for several candidate attributes to be added to them. Given such a present concept, we prohibit adding attributes strongly correlated with the present concept. In other words, we add attributes only when they contribute toward decreasing the supports of concepts to some extent. As a result, the detected concepts has lower supports and consist of only attributes directing at more specific concepts through the formation processes.

The algorithm is designed as a top-N closure enumerator using branch-and-bound pruning rules so that it can reach concepts with lower supports by avoiding useless combination of correlated attributes in a huge space of concepts. We experimentally show effectiveness of the algorithm and the conceptual clarity of detected concepts because of their shorter length in spite of their lower supports.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ganter, B., Wille, R.: Formal Concept Analysis - Mathematical Foundations, 284 p. Springer, Heidelberg (1999)

    MATH  Google Scholar 

  2. Ganter, B., Stumme, G., Wille, R. (eds.): Formal Concept Analysis – Foundations and Applications. LNCS (LNAI), vol. 3626, 348 p. Springer, Heidelberg (2005)

    Google Scholar 

  3. Agrawal, R., Imielinski, T., Swami, A.: Mining Association Rules between Sets of Items in Large Databases. In: Proc. of the ACM SIGMOD Int’l Conf. on Management of Data, pp. 207–216 (1993)

    Google Scholar 

  4. Lakhal, L., Stumme, G.: Efficient Mining of Association Rules Based on Formal Concept Analysis. In: Ganter, B., Stumme, G., Wille, R. (eds.) Formal Concept Analysis. LNCS (LNAI), vol. 3626, pp. 180–195. Springer, Heidelberg (2005)

    Google Scholar 

  5. Wang, J., Han, J., Pei, J.: CLOSET+: Searching for the Best Strategies for Mining Frequent Closed Itemsets. In: Proc. of the 9th ACM SIGKDD Int’l Conf. on Knowledge Discovery and Data Mining - KDD 2003, pp. 236–245 (2003)

    Google Scholar 

  6. Han, J., Cheng, H., Xin, D., Yan, X.: Frequent Pattern Mining - Current Status and Future Directions. Data Mining and Knowledge Discovery 15(1), 55–86 (2007)

    Article  MathSciNet  Google Scholar 

  7. Uno, T., Kiyomi, M., Arimura, H.: LCM ver. 2: Efficient Mining Algorithm for Frequent/Closed/Maximal Itemsets. In: Proc. of IEEE ICDM 2004 Workshop - FIMI 2004 (2004), http://sunsite.informatik.rwth-aachen.de/verb+Publications/CEUR-WS//Vol-126/

  8. Dong, G., Li, J.: Efficient Mining of Emerging Patterns: Discovering Trends and Differences. In: Proc. of the 5th ACM SIGKDD Int’l Conf. on Knowledge Discovery and Data Mining - KDD 1999, pp. 43–52 (1999)

    Google Scholar 

  9. Alhammady, H., Ramamohanarao, K.: Using Emerging Patterns and Decision Trees in Rare-Class Classification. In: Proc. of the 4th IEEE Int’l Conf. on Data Mining - ICDM 2004, pp. 315–318 (2004)

    Google Scholar 

  10. Bay, S.D., Pazzani, M.J.: Detecting Group Differences: Mining Contrast Sets. Data Mining and Knowledge Discovery 5(3), 213–246 (2001)

    Article  MATH  Google Scholar 

  11. Novak, P.K., Lavrac, N.: Supervised Descriptive Rule Discovery: A Unifying Survey of Contrast Set, Emerging Pattern and Subgroup Mining. The Journal of Machine Learning Research Archive 10, 377–403 (2009)

    Google Scholar 

  12. Li, A., Haraguchi, M., Okubo, Y.: Implicit Groups of Web Pages as Constrained Top-N Concepts. In: Proc. of the 2008 IEEE/WIC/ACM Int’l Conf. on Web Intelligence and Intelligent Agent Technology Workshops, pp. 190–194 (2008)

    Google Scholar 

  13. Nebel, B.: Reasoning and Revision in Hybrid Representation. Springer, Heidelberg (1989)

    Google Scholar 

  14. Sinka, M.P., Corne, D.W.: A Large Benchmark Dataset for Web Document Clustering. In: Soft Computing Systems: Design, Management and Applications. Series of Frontiers in Artificial Intelligence and Applications, vol. 87, pp. 881–890 (2002)

    Google Scholar 

  15. Besson, J., Robardet, C., Boulicaut, J.: Constraint-Based Concept Mining and Its Application to Microarray Data Analysis. Intelligent Data Analysis 9(1), 59–82 (2005)

    Google Scholar 

  16. Szathmary, L., Napoli, A., Valtchev, P.: Towards Rare Itemset Mining. In: Proc. of the 19th IEEE Int’l Conf. on Tools with Artificial Intelligence - ICTAI 2007, pp. 305–312 (2007)

    Google Scholar 

  17. Pasquier, N., Bastide, Y., Taouil, R., Lakhal, L.: Efficient Mining of Association Rules Using Closed Itemset Lattices. Information Systems 24(1), 25–46 (1999)

    Article  Google Scholar 

  18. Tomita, E., Kameda, T.: An Efficient Branch-and-Bound Algorithm for Finding a Maximum Clique with Computational Experiments. Journal of Global Optimization 37, 95–111 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  19. Tomita, E., Seki, T.: An Efficient Branch and Bound Algorithm for Finding a Maximum Clique. In: Calude, C.S., Dinneen, M.J., Vajnovszki, V. (eds.) DMTCS 2003. LNCS, vol. 2731, pp. 278–289. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  20. Fahle, T.: Simple and Fast: Improving a Branch-and-Bound Algorithm for Maximum Clique. In: Möhring, R.H., Raman, R. (eds.) ESA 2002. LNCS, vol. 2461, pp. 485–498. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  21. Porter, M.F.: An Algorithm for Suffix Stripping. Program 14(3), 130–137 (1980)

    Google Scholar 

  22. Fellbaum, C. (ed.): WordNet - An Electronic Lexical Database. MIT Press, Cambridge (1998)

    MATH  Google Scholar 

  23. Haraguchi, M., Okubo, Y.: An Extended Branch-and-Bound Search Algorithm for Finding Top-N Formal Concepts of Documents. In: Washio, T., Satoh, K., Takeda, H., Inokuchi, A. (eds.) JSAI 2006. LNCS (LNAI), vol. 4384, pp. 276–288. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  24. Haraguchi, M., Okubo, Y.: A Method for Pinpoint Clustering of Web Pages with Pseudo-Clique Search. In: Jantke, K.P., Lunzer, A., Spyratos, N., Tanaka, Y. (eds.) Federation over the Web. LNCS (LNAI), vol. 3847, pp. 59–78. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  25. Okubo, Y., Haraguchi, M.: Finding Conceptual Document Clusters with Improved Top-N Formal Concept Search. In: Proc. of the 2006 IEEE/WIC/ACM International Conference on Web Intelligence - WI 2006, pp. 347–351 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Okubo, Y., Haraguchi, M. (2010). An Algorithm for Extracting Rare Concepts with Concise Intents. In: Kwuida, L., Sertkaya, B. (eds) Formal Concept Analysis. ICFCA 2010. Lecture Notes in Computer Science(), vol 5986. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11928-6_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11928-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11927-9

  • Online ISBN: 978-3-642-11928-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics