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The Lumberjack Algorithm for Learning Linked Decision Forests

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PRICAI 2000 Topics in Artificial Intelligence (PRICAI 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1886))

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Abstract

While the decision tree is an effective representation that has been used in many domains, a tree can often encode a concept inefficiently. This happens when the tree has to represent a subconcept multiple times in different parts of the tree. In this paper we introduce a new representation based on trees, the linked decision forest, that does not need to repeat internal structure. We also introduce a supervised learning algorithm, Lumberjack, that uses the new representation. We then show empirically that Lumberjack improves generalization accuracy on hierarchically decomposable concepts.

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References

  • Leo Breiman, Jerome H. Friedman, Richard A. Olshen, and Charles J. Stone. Classification And Regression Trees. Wadsworth and Brooks/Cole Advanced Books and Software, Monterey, CA, 1984.

    MATH  Google Scholar 

  • Randal E. Bryant. Symbolic boolean manipulation with ordered binary decision diagrams. ACM Computing Surveys, 24(3):293–318, 1992.

    Article  Google Scholar 

  • David Chapman and Leslie Pack Kaelbling. Input generalization in delayed reinforcement learning: An algorithm and performance comparisons. In Proceedings of the Twelfth International Joint Conference on Artificial Intelligence (IJCAI-91), pages 726–731, Sydney, Australia, 1991.

    Google Scholar 

  • Jesse Hoey, Robert St-Aubin, Alan Hu, and Craig Boutilier. Spudd: Stochastic planning using decision diagrams. In Fifteenth Conference on Uncertainty in Artificial Intelligence (UAI-99), Stockholm, Sweden, 1999. Morgan Kaufmann.

    Google Scholar 

  • Ron Kohavi. Wrappers for Performance Enhancement and Oblivious Decision Graphs. Ph. d. thesis, Department of Computer Science, Stanford University, 1995.

    Google Scholar 

  • Andrew Kachites McCallum. Reinforcement Learning with Selective Perception and Hidden State. PhD thesis, Department of Computer Science, University of Rochester, 1995.

    Google Scholar 

  • Patrick M. Murphy and Michael J. Pazzani. Exploring the decision forest: An empirical invesitgation of Occam’s razor in decision tree induction. Journal of Artificial Intelligence Research, 1:257–275, 1994.

    MATH  Google Scholar 

  • Craig G. Nevill-Manning and Ian H. Witten. Identifying hierarchical structures in sequences: A linear-time algorithm. Journal of Artificial Intelligence Research, 7:67–82, 1997.

    MATH  Google Scholar 

  • Craig G. Nevill-Manning. Inferring Sequential Structure. Ph. d. thesis, Computer Science, University of Waikato, Hamilton, New Zealand, 1996.

    Google Scholar 

  • J. Oliver and C. S. Wallace. Inferring decision graphs. Technical Report 91/170, Department of Computer Science, Monash University, November 1992.

    Google Scholar 

  • Giulia Pagallo and David Haussler. Boolean feature discovery in empirical learning. Machine Learning, 5:71–99, 1990.

    Article  Google Scholar 

  • J. R. Quinlan and R. L. Rivest. Inferring decision trees using the minimum description length principle. Information and Computation, 80(3):227–248, 1989.

    Article  MATH  Google Scholar 

  • J. Ross Quinlan. C4.5: Programs for Machine Learning. Morgan Kaufmann, San Mateo, CA, 1992.

    Google Scholar 

  • Jorma Rissanen. A universal prior for integers and estimation by minimum description length. The Annals of Statistics, 11(2):416–431, 1983.

    MATH  Google Scholar 

  • William T. B. Uther and Manuela M. Veloso. Tree based discretization for continuous state space reinforcement learning. In Proceedings of the Fifteenth National Conference on Artificial Intelligence (AAAI-98), pages 769–774, Madison, WI, 1998.

    Google Scholar 

  • William T. B. Uther and Manuela M. Veloso. The lumberjack algorithm for learning linked decision forests. In Symposium on Abstraction, Reformulation and Approximation (SARA-2000), volume 1864 of Lecture Notes in Artificial Intelligence. Springer Verlag, 2000.

    Google Scholar 

  • C. S. Wallace and D. M. Boulton. An information measure for classification. Computer Journal, 11(2):185–194, 1968.

    MATH  Google Scholar 

  • C. S. Wallace and J. D. Patrick. Coding decision trees. Machine Learning, 11:7–22, 1993.

    Article  MATH  Google Scholar 

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© 2000 Springer-Verlag Berlin Heidelberg

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Uther, W.T.B., Veloso, M.M. (2000). The Lumberjack Algorithm for Learning Linked Decision Forests. In: Mizoguchi, R., Slaney, J. (eds) PRICAI 2000 Topics in Artificial Intelligence. PRICAI 2000. Lecture Notes in Computer Science(), vol 1886. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44533-1_19

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  • DOI: https://doi.org/10.1007/3-540-44533-1_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67925-7

  • Online ISBN: 978-3-540-44533-3

  • eBook Packages: Springer Book Archive

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