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Conditional Classification Trees Using Instrumental Variables

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4723))

Abstract

The framework of this paper is supervised learning using classification trees. Two types of variables play a role in the definition of the classification rule, namely a response variable and a set of predictors. The tree classifier is built up by a recursive partitioning of the prediction space such to provide internally homogeneous groups of objects with respect to the response classes. In the following, we consider the role played by an instrumental variable to stratify either the variables or the objects. This yields to introduce a tree-based methodology for conditional classification. Two special cases will be discussed to grow multiple discriminant trees and partial predictability trees. These approaches use discriminant analysis and predictability measures respectively. Empirical evidence of their usefulness will be shown in real case studies.

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References

  1. Aria, M., Siciliano, R.: Learning from Trees: Two-Stage Enhancements. In: CLADAG 2003, Book of Short Papers, Bologna, September 22-24, 2003, pp. 21–24. CLUEB, Bologna (2003)

    Google Scholar 

  2. Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J.: Classification and Regression Trees, Belmont C.A. Wadsworth (1984)

    Google Scholar 

  3. Goodman, L.A., Kruskal, W.H.: Measures of association for cross classifications. Springer, Heidelberg (1979)

    MATH  Google Scholar 

  4. Gray, L.N., Williams, J.S.: Goodman and Kruskal’s tau b: multiple and partial analogs. In: Proceedings of the Americal Statistical Association, pp. 444–448 (1975)

    Google Scholar 

  5. Bertold, M., Hand, D. (eds.): Intelligent Data Analysis, 2nd edn. Springer, New York (2003)

    Google Scholar 

  6. Hand, D.J., Mannila, H., Smyth, P.: Principles of Data Mining. The MIT Press, Cambridge (2001)

    Google Scholar 

  7. Hastie, T.J., Tibshirani, R.J., Friedman, J.: The Elements of Statistical Learning. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  8. Mola, F., Siciliano, R.: A two-stage predictive splitting algorithm in binary segmentation. In: Dodge, Y., Whittaker, J. (eds.) Computational Statistics: COMPSTAT 1992, pp. 179–184. Physica Verlag, Heidelberg (D) (1992)

    Google Scholar 

  9. Mola, F., Siciliano, R.: A Fast Splitting Procedure for Classification Thees. Statistics and Computing 7, 208–216 (1997)

    Article  Google Scholar 

  10. Mola, F., Siciliano, R.: Discriminant Analysis and Factorial Multiple Splits in Recursive Partitioning for Data Mining. In: Roli, F., Kittler, J. (eds.) Proceedings of International Conference on Multiple Classifier Systems, Chia, June 24-26, 2002. LNCS, pp. 118–126. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. Newman, D.J., Hettich, S., Blake, C.L., Merz, C.J.: UCI Repository of machine learning databases. University of California, Irvine, CA, Department of Information and Computer Science (1998), http://www.ics.uci.edu/~mlearn/MLRepository.html

  12. Siciliano, R., Mola, F.: Multivariate Data Analysis through Classification and Regression Trees. In: Computational Statistics and Data Analysis, vol. 32, pp. 285–301. Elsevier Science, Amsterdam (2000)

    Google Scholar 

  13. Siciliano, R., Conversano, C.: Decision Tree Induction. In: Wang, J. (ed.) Encyclopedia of Data Warehousing and Data Mining, vol. 2, pp. 242–248. IDEA Group. Inc., Hershey, USA (2005)

    Google Scholar 

  14. Siciliano, R., Aria, M., Conversano, C.: Harvesting trees: methods, software and applications. In: Proceedings in Computational Statistics: 16th Symposium of IASC (COMPSTAT 2004). Eletronical Edition (CD), Prague, August 23–27, 2004, Physica-Verlag, Heidelberg (2004)

    Google Scholar 

  15. Tutore, V.A., Siciliano, R., Aria, M.: Three Way Segmentation. In: Tutore, V.A., Siciliano, R., Aria, M. (eds.) Proceedings of Knowledge Extraction and Modelling (KNEMO06), IASC INTERFACE IFCS Workshop, September 4-6, 2006, Capri (2006)

    Google Scholar 

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Michael R. Berthold John Shawe-Taylor Nada Lavrač

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Tutore, V.A., Siciliano, R., Aria, M. (2007). Conditional Classification Trees Using Instrumental Variables. In: R. Berthold, M., Shawe-Taylor, J., Lavrač, N. (eds) Advances in Intelligent Data Analysis VII. IDA 2007. Lecture Notes in Computer Science, vol 4723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74825-0_15

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  • DOI: https://doi.org/10.1007/978-3-540-74825-0_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74824-3

  • Online ISBN: 978-3-540-74825-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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