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Study and Improvement of Ordinal Decision Trees Based on Rank Entropy

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 481))

Abstract

Decision tree is one of the most commonly used methods of machine learning, and ordinal decision tree is an important way to deal with ordinal classification problems. Through researches and analyses on ordinal decision trees based on rank entropy, the rank mutual information for every cut of each continuous-valued attribute is necessary to determine during the selection of expanded attributes for constructing decision trees based on rank entropy in ordinal classification. Then we need to compare these values of rank mutual information to get the maximum which corresponds to the expanded attribute. As the computational complexity is high, an improved algorithm which establishes a mathematical model is proposed. The improved algorithm is theoretically proved that it only traverses the unstable cut-points without computing the values of stable cut-points. Therefore, the computational efficiency of constructing decision trees is greatly improved. Experiments also confirm that the computational time of the improved algorithm can be reduced greatly.

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References

  1. Mitchell, T.M.: Machine Learning, 1st edn. McGraw-Hill Science/Engineering/Math (March 1, 1997)

    Google Scholar 

  2. Wang, X.Z., Hong, J.R.: Learning Algorithm of Decision Tree Generation for Interval-Valued Attributes. Journal of Software 9(8), 637–640 (1998)

    Google Scholar 

  3. Quinlan, J.R.: Induction of Decision Tree. Machine Learning 1(1), 81–106 (1986)

    Google Scholar 

  4. Wu, X.D., Kumar, V., Quinlan, J.R., et al.: Top 10 algorithms in data mining. Knowledge and Information Systems 14(1), 1–37 (2008)

    Article  Google Scholar 

  5. Breiman, L., Friedman, J.H., Olshen, R.A., et al.: Classification and Regression Tree. Wadsworth International Group (1984)

    Google Scholar 

  6. Ben-David, A., Sterling, L., Pao, Y.H.: Learning and classification of monotonic ordinal concepts. Computational Intelligence 5(1), 45–49 (1989)

    Article  Google Scholar 

  7. Zopounidis, C., Doumpos, M.: Multieriteria classification and sorting methods-A literature review. European Journal of Operational Research 138, 229–246 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  8. Krzysztof, D., Wojciech, K., Roman, S.: Ensemble of Decision Rules for Ordinal Classification with Monotonicity Constraints

    Google Scholar 

  9. Potharst, R., Bioch, J.: Decision trees for ordinal Classification. Intelligent Data Analysis 4(2), 97–112 (2000)

    MATH  Google Scholar 

  10. Cao-Van, K., Baets, B.D.: Growing decision trees in an ordinal setting. International Journal of Intelligent Systems 18, 733–750 (2003)

    Article  MATH  Google Scholar 

  11. Baril, N., Feelders, A.J.: Nonparametric Monotone Classification with MOCA//ICDM, pp. 731–736 (2008)

    Google Scholar 

  12. Potharst, R., Feelders, A.J.: Classification trees for problems with monotonicity constrains. SIGKDD Explorations 4(1), 1–10 (2002)

    Google Scholar 

  13. Potharst, R., Bioch, J.C.: Decision trees for ordinal classification. Intelligent Data Analysis 4, 97–111 (2000)

    MATH  Google Scholar 

  14. Kotlowski, W., Slowinski, R.: Rule learning with monotonicity constrains. In: Proceedings of the 26th Annual International Conference on Machine Learning, Montreal, Quebec, Canada, pp. 537–544 (2009)

    Google Scholar 

  15. Hu, Q.H., Guo, M.Z., Yu, D.R., et al.: Information entropy for ordinal classification. Science China Information Sci. 53(6), 1188–1200 (2010)

    Article  MathSciNet  Google Scholar 

  16. Hu, Q., Che, X., et al.: Rank Entropy-Based Decision Trees for Monotonic Classification. IEEE Transactions on Knowledge and Data Engineering 24(11), 2052–2064 (2012)

    Article  Google Scholar 

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Correspondence to Junhai Zhai .

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© 2014 Springer-Verlag Berlin Heidelberg

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Chen, J., Zhai, J., Wang, X. (2014). Study and Improvement of Ordinal Decision Trees Based on Rank Entropy. In: Wang, X., Pedrycz, W., Chan, P., He, Q. (eds) Machine Learning and Cybernetics. ICMLC 2014. Communications in Computer and Information Science, vol 481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45652-1_22

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  • DOI: https://doi.org/10.1007/978-3-662-45652-1_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45651-4

  • Online ISBN: 978-3-662-45652-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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