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Using convex hulls to represent classifier conditions
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Proceedings of the 8th annual conference on Genetic and evolutionary computation table of contents
Seattle, Washington, USA
SESSION: Learning Classifier systems and other genetics-based machine learning: papers table of contents
Pages: 1481 - 1488  
Year of Publication: 2006
ISBN:1-59593-186-4
Authors
Pier Luca Lanzi  Politecnico di Milano, Milano, Italy and University of Illinois at Urbana Champaign, Urbana, IL
Stewart W. Wilson  University of Illinois at Urbana Champaign, Urbana, IL
Sponsors
SIGEVO: ACM Special Interest Group on Genetic and Evolutionary Computation
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
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ABSTRACT

This papers presents a novel representation of classifier conditions based on convex hulls. A classifier condition is represented by a sets of points in the problem space. These points identify a convex hull that delineates a convex region in the problem space. The condition matches all the problem instances inside such region. XCSF with convex conditions is applied to function approximation problems and its performance is compared to that of XCSF with interval conditions. The comparison shows that XCSF with convex hulls converges faster than XCSF with interval conditions. However, convex conditions usually do not produce more compact solutions.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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M. V. Butz and S. W. Wilson. An algorithmic description of XCS. Journal of Soft Computing, 6(3-4):144--153, 2002.
 
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A. Fabri, E. Fogel, B. Gartner, M. Hoffmann, M. Karavelas, L. Kettner, S. P. M. Teillaud, R. Veltkamp, and M. Yvinec. Computational geometry algorithms library: User and reference manual. release 3.1, 2004. Available at http://www.cgal.org.
 
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S. A. Glantz and B. K. Slinker. Primer of Applied Regression & Analysis of Variance. McGraw Hill, 2001. second edition.
 
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R. L. Graham. An efficient algorithm for determing the convex hull of a finite planar set. Information Processing Letters, 1:132--133, 1972.
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P. L. Lanzi, D. Loiacono, S. W. Wilson, and D. E. Goldberg. Generalization in the xcsf classifier system: Analysis, improvement, and extension. Technical Report 2005012, Illinois Genetic Algorithms Laboratory - University of Illinois at Urbana-Champaign, 2005.
 
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P. L. Lanzi, D. Loiacono, S. W. Wilson, and D. E. Goldberg. XCS with Computed Prediction for the Learning of Boolean Functions. In Proceedings of the IEEE Congress on Evolutionary Computation - CEC-2005, Edinburgh, UK, 2005. IEEE.
 
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P. L. Lanzi and A. Perrucci. Extending the Representation of Classifier Conditions Part II: From Messy Coding to S-Expressions. In W. Banzhaf, J. Daida, A. E. Eiben, M. H. Garzon, V. Honavar, M. Jakiela, and R. E. Smith, editors, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 99), pages 345--352, Orlando (FL), July 1999. Morgan Kaufmann.
 
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P. L. Lanzi and S. W. Wilson. Classifier conditions based on convex hulls. Technical Report 2005024, Illinois Genetic Algorithms Laboratory - University of Illinois at Urbana-Champaign, 2005.
 
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T. Soule. Operator choice and the evolution of robust solutions. In R. L. Riolo and B. Worzel, editors, Genetic Programming Theory and Practice, chapter 16, pages 257--270. Kluwer, 2003.
 
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S. W. Wilson. Classifier Fitness Based on Accuracy. Evolutionary Computation, 3(2):149--175, 1995.
 
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Collaborative Colleagues:
Pier Luca Lanzi: colleagues
Stewart W. Wilson: colleagues