Skip to main content

Mixed Decision Trees: An Evolutionary Approach

  • Conference paper
Data Warehousing and Knowledge Discovery (DaWaK 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4081))

Included in the following conference series:

Abstract

In the paper, a new evolutionary algorithm (EA) for mixed tree learning is proposed. In non-terminal nodes of a mixed decision tree different types of tests can be placed, ranging from a typical univariate inequality test up to a multivariate test based on a splitting hyperplane. In contrast to classical top-down methods, our system searches for an optimal tree in a global manner, i.e. it learns a tree structure and tests in one run of the EA. Specialized genetic operators allow for generating new sub-trees, pruning existing ones as well as changing the node type and the tests. The proposed approach was experimentally verified on both artificial and real-life data and preliminary results are promising.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Blake, C., Keogh, E., Merz, C.: UCI repository of machine learning databases. University of California, Dept. of Computer Science, Irvine, CA (1998)

    Google Scholar 

  2. Bot, M., Langdon, W.: Application of genetic programming to induction of linear classification trees. In: Poli, R., Banzhaf, W., Langdon, W.B., Miller, J., Nordin, P., Fogarty, T.C. (eds.) EuroGP 2000. LNCS, vol. 1802, pp. 247–258. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  3. Breiman, L., Friedman, J., Olshen, R., Stone C.: Classification and Regression Trees. Wadsworth Int. Group (1984).

    Google Scholar 

  4. Brodley, C.: Recursive automatic bias selection for classifier construction. Machine Learning 20, 63–94 (1995)

    Google Scholar 

  5. Cantu-Paz, E., Kamath, C.: Inducing oblique decision trees with evolutionary algorithms. IEEE Transactions on Evolutionary Computation 7(1), 54–68 (2003)

    Article  Google Scholar 

  6. Chai, B., Huang, T., Zhuang, X., Zhao, Y., Sklansky, J.: Piecewise-linear classifiers using binary tree structure and genetic algorithm. Pattern Recognition 29(11), 1905–1917 (1996)

    Article  Google Scholar 

  7. Demsar, J.: Statistical comparisons of classifiers over multiple data sets. Journal of Machine Learning Research 7, 1–30 (2006)

    MathSciNet  Google Scholar 

  8. Esposito, F., Malerba, D., Semeraro, G.: A comparative analysis of methods for pruning decision trees. IEEE Transactions on Pattern Analysis and Machine Intelligence 19(5), 476–491 (1997)

    Article  Google Scholar 

  9. Freitas, A.: Data Mining and Knowledge Discovery with Evolutionary Algorithms. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  10. Koza, J.: Concept formation and decision tree induction using genetic programming paradigm. In: Schwefel, H.-P., Männer, R. (eds.) PPSN 1990. LNCS, vol. 496, pp. 124–128. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  11. Krȩtowski, M.: An evolutionary algorithm for oblique decision tree induction. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 432–437. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Krȩtowski, M., Grześ, M.: Global learning of decision trees by an evolutionary algorithm. In: Information Processing and Security Sys., pp. 401–410. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  13. Krȩtowski, M., Grześ, M.: Global induction of oblique decision trees: an evolutionary approach. In: Proc. of IIPWM 2005, pp. 309–318. Springer, Heidelberg (2005)

    Google Scholar 

  14. Krȩtowski, M., Grześ, M.: Evolutionary learning of linear trees with embedded feature selection. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, Springer, Heidelberg (2006)

    Google Scholar 

  15. Llora, X., Wilson, S.: Mixed decision trees: Minimizing knowledge representation bias in LCS. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3103, pp. 797–809. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  16. Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs, 3rd edn. Springer, Heidelberg (1996)

    MATH  Google Scholar 

  17. Murthy, S., Kasif, S., Salzberg, S.: A system for induction of oblique decision trees. Journal of Artificial Intelligence Research 2, 1–33 (1994)

    MATH  Google Scholar 

  18. Murthy, S.: Automatic construction of decision trees from data: A multi-disciplinary survey. Data Mining and Knowledge Discovery 2, 345–389 (1998)

    Article  MathSciNet  Google Scholar 

  19. Nikolaev, N., Slavov, V.: Inductive genetic programming with decision trees. Intelligent Data Analysis 2, 31–44 (1998)

    Article  Google Scholar 

  20. Papagelis, A., Kalles, D.: Breeding decision trees using evolutionary techniques. In: Proc. of ICML 2001, pp. 393–400. Morgan Kaufmann, San Francisco (2001)

    Google Scholar 

  21. Quinlan, J.: C4.5: Programs for Machine Learning. Morgan Kaufmann, San Francisco (1993)

    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

Krȩtowski, M., Grześ, M. (2006). Mixed Decision Trees: An Evolutionary Approach. In: Tjoa, A.M., Trujillo, J. (eds) Data Warehousing and Knowledge Discovery. DaWaK 2006. Lecture Notes in Computer Science, vol 4081. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11823728_25

Download citation

  • DOI: https://doi.org/10.1007/11823728_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37736-8

  • Online ISBN: 978-3-540-37737-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics