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A Contribution to the Study of Classification and Regression Trees Using Multivalued Array Algebra

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Computer Aided Systems Theory - EUROCAST 2013 (EUROCAST 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8111))

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Abstract

Classification and regression trees are machine-learning methods that construct prediction models from data. The models are obtained by recursively partitioning the data and fitting a simple prediction model within each partition. As a result, the partitioning can be represented graphically as a decision tree. Classification trees are designed for dependent variables that take a finite number of unordered values. Whereas, regression trees are for dependent variables that take continuous or ordered discrete values.

This paper presents an approach for classification and regression trees by considering the Array Algebra. The data’s descriptive knowledge is expressed by means of an array expression written in terms of a multivalued language. The Array Algebra allows for classification in a simple manner.

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References

  1. Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J.: Classification and regression trees. CRC Press, New York (1998)

    Google Scholar 

  2. Eibe Frank, E., Ian, H., Witten, I.H.: Selecting multiway splits in decision trees. Technical Report 96/31, Department of Computer Science, University of Waikato (1996)

    Google Scholar 

  3. Kim, H., Loh, W.Y.: Classification trees with unbiased multiway splits. Journal American Statistics Association 96, 589–604 (2001)

    Article  MathSciNet  Google Scholar 

  4. Miró-Julià, M.: A Framework for Combining Multivalued Data: A Practical Approach. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds.) EUROCAST 2011, Part I. LNCS, vol. 6927, pp. 1–8. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  5. Cios, K.J., Pedrycz, W., Swiniarski, R.W., Kurgan, L.A.: Data Mining. A Knowledge Discovery Approach. Springer, New York (2007)

    MATH  Google Scholar 

  6. Miró-Julià, M.: A Contribution to Multivalued Systems. Ph.D. thesis. Universitat de les Illes Balears (2000)

    Google Scholar 

  7. Wille, R.: Restructuring Lattice Theory: an Approach based on Hierarchies of Concepts. Ordered Sets, pp. 445–470. Reidel Publishing Company (1982)

    Google Scholar 

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Miró-Julià, M., Ruiz-Miró, M.J. (2013). A Contribution to the Study of Classification and Regression Trees Using Multivalued Array Algebra. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2013. EUROCAST 2013. Lecture Notes in Computer Science, vol 8111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53856-8_13

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  • DOI: https://doi.org/10.1007/978-3-642-53856-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53855-1

  • Online ISBN: 978-3-642-53856-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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