Skip to main content

Stepwise Induction of Model Trees

  • Conference paper
  • First Online:
AI*IA 2001: Advances in Artificial Intelligence (AI*IA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2175))

Included in the following conference series:

Abstract

Regression trees are tree-based models used to solve those prediction problems in which the response variable is numeric. They differ from the better-known classification or decision trees only in that they have a numeric value rather than a class label associated with the leaves. Model trees are an extension of regression trees in the sense that they associate leaves with multivariate linear models. In this paper a method for the data-driven construction of model trees is presented, namely the Stepwise Model Tree Induction (SMOTI) method. Its main characteristic is the induction of trees with two types of nodes: regression nodes, which perform only straight-line regression, and splitting nodes, which partition the sample space. In this way, the multivariate linear model associated to each leaf is efficiently built stepwise. SMOTI has been evaluated in an empirical study and compared to other model tree induction systems.

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. Breiman L., Friedman J., Olshen R., & Stone J.: Classification and regression tree, Wadsworth & Brooks, 1984.

    Google Scholar 

  2. Ciampi A.: Generalized regression trees, Computational Statistics and Data Analysis, 12, pp. 57–78, 1991.

    Article  MATH  MathSciNet  Google Scholar 

  3. Draper N.R., & Smith H.: Applied regression analysis, John Wiley & Sons, 1982.

    Google Scholar 

  4. Karalic A.: Linear regression in regression tree leaves, in Proceedings of ISSEK.92 (International School for Synthesis of Expert Knowledge), Bled, Slovenia, 1992.

    Google Scholar 

  5. Lanubile A., & Malerba D.: Induction of regression trees with RegTree, in Book of Short Papers on Classification and Data Analysis, Pescara, Italy, pp. 253–260, 1997.

    Google Scholar 

  6. Morgan J.N., & Sonquist J.A.: Problems in the analysis of survey data, and a proposal, in American Statistical Association Journal, pp. 415–434, 1963.

    Google Scholar 

  7. Orkin, M., Drogin, R.: Vital Statistics, McGraw Hill, New York (1990).

    Google Scholar 

  8. Quinlan J. R.: Learning with continuous classes, in Proceedings AI’92, Adams & Sterling (Eds.), World Scientific, pp. 343–348, 1992.

    Google Scholar 

  9. Siciliano R., & Mola F.: Modelling for recursive partitioning in variable selection, in COMPSTAT’94, Dutter R., & Grossman W. (Eds.), Physica-Verlag, pp. 172–177, 1994.

    Google Scholar 

  10. Torgo L.: Kernel Regression Trees, in Poster Papers of the 9th European Conference on Machine Learning (ECML 97), M. van Someren, & G. Widmer (Eds.), Prague, Czech Republic, pp. 118–127, 1997.

    Google Scholar 

  11. Torgo L.: Functional Models for Regression Tree Leaves, in Proceedings of the Fourteenth International Conference (ICML’97), D. Fisher (Ed.), Nashville, Tennessee, pp. 385–393, 1997.

    Google Scholar 

  12. Wang Y., & Witten I.H.: Inducing Model Trees for Continuous Classes, in Poster Papers of the 9th European Conference on Machine Learning (ECML 97), M. van Someren, & G. Widmer (Eds.), Prague, Czech Republic, pp. 128–137, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Malerba, D., Appice, A., Bellino, A., Ceci, M., Pallotta, D. (2001). Stepwise Induction of Model Trees. In: Esposito, F. (eds) AI*IA 2001: Advances in Artificial Intelligence. AI*IA 2001. Lecture Notes in Computer Science(), vol 2175. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45411-X_3

Download citation

  • DOI: https://doi.org/10.1007/3-540-45411-X_3

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42601-1

  • Online ISBN: 978-3-540-45411-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics