Skip to main content

Mining Top-K Frequent Closed Itemsets Is Not in APX

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3918))

Abstract

Mining top-k frequent closed itemsets was initially proposed and exactly solved by Wang et al. [IEEE Transactions on Knowledge and Data Engineering 17 (2005) 652-664]. However, in the literature, no research has ever considered the complexity of this problem. In this paper, we present a set of proofs showing that, in the general case, the problem of mining top-k frequent closed itemsets is not in APX. This indicates that heuristic algorithms rather than exact algorithms are preferred to solve the problem.

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   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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. Wang, J., Han, J., Lu, Y., Tzvetkov, P.: TFP: An Algorithm for Mining Top-K Frequent Closed Itemsets. IEEE T. Knowl. Data En. 17, 652–664 (2005)

    Article  Google Scholar 

  2. Han, J., Pei, J., Yin, Y., Mao, R.: Mining Frequent Patterns without Candidate Generation: A Frequent-pattern Tree Approach. Data Min. Knowl. Disc. 8, 53–87 (2004)

    Article  MathSciNet  Google Scholar 

  3. Gunopulos, D., Khardon, R., Mannila, H., Saluja, S.: Discovering All Most Specific Sentences. ACM T. on Database Syst. 28, 140–174 (2003)

    Article  Google Scholar 

  4. Zaki, M., Ogihara, M.: Theoretical foundations of association rules. In: Proceedings of Third SIGMOD 1998 Workshop on Research Issues in Data Mining and Knowledge Discovery, Seattle, USA, pp. 71–78 (1998)

    Google Scholar 

  5. Angiulli, F., Ianni, G., Palopoli, L.: On the Complexity of Inducing Categorical and Quantitative Association Rules. Theor. Comput. Sci. 314, 217–249 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  6. Jermaine, C.: Finding the Most Interesting Correlations in a Database: How Hard Can it Be? Inform. Syst. 30, 21–46 (2005)

    Article  Google Scholar 

  7. Ausiello, G., Crescenzi, P., Gambosi, G., Kann, V., Marchetti-Spaccamela, A., Protasi, M.: Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties. Springer, Heidelberg (1999)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wu, C. (2006). Mining Top-K Frequent Closed Itemsets Is Not in APX. In: Ng, WK., Kitsuregawa, M., Li, J., Chang, K. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2006. Lecture Notes in Computer Science(), vol 3918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11731139_50

Download citation

  • DOI: https://doi.org/10.1007/11731139_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33206-0

  • Online ISBN: 978-3-540-33207-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics