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Support Vector Machines using Multi Objective Programming

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Multi-Objective Programming and Goal Programming

Part of the book series: Advances in Soft Computing ((AINSC,volume 21))

Abstract

Support Vector Machines are now thought as a powerful method for solving pattern recognition problems. In general, SVMs tend to make overlearning. In order to overcome this difficulty, the notion of soft margin is introduced. In this event, it is difficult to decide the weight for slack variables reflecting soft margin. In this paper, Soft margin method is extended to Multi Objective Linear Programming(MOLP). To solve MOLP, Goal Programming method is used.

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References

  1. Freed N., Glover F. (1981) Simple but powerful goal programming models for discriminant problems. European Journal of Operational Research, Vol. 7, 4460.

    Google Scholar 

  2. Erenguc S.S., Koehler G.J. (1990) Survey of Mathematical Programming Models and Experimental Results for Linear Discriminant Analysis. Managerial and Decision Economics, Vol. 11, 215–225.

    Google Scholar 

  3. Nakayama H., Tanino T. (1994) Theory of Multi Objective Programming and its applications. The Society of Instrument and Control Engineers Edit (in Japanese).

    Google Scholar 

  4. Mangasarian O.L. (2000) Generalized Support Vector Machines. In: Smola A., Bartlett P., Schölkopf B., Schuurmans D. (Eds.) Advances in Large Margin Classifiers, Mit Press, Cambridge, 135–146.

    Google Scholar 

  5. Bennett K.P., Campbell C. (2000) Support Vector Machines: Hype or Hallelujar?. SIGKDD Explorations, 2, 2.

    Google Scholar 

  6. Cristianini N., Shawe-Taylor J. (2000) An Introduction to Support Vector Machines and other Kernel-based learning methods, Cambridge University Press.

    Google Scholar 

  7. Shi Y., Peng Y. (2001) Classification for Three-group of Credit Cardholders’ Behavior Via A Multiple Criteria Approach. In: Li D. (Ed.) Optimization: Techniques and Applications, 5th International Conference at Hong Kong, December 15–17, 2001. 1279–1286.

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© 2003 Springer-Verlag Berlin Heidelberg

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Asada, T., Nakayama, H. (2003). Support Vector Machines using Multi Objective Programming. In: Multi-Objective Programming and Goal Programming. Advances in Soft Computing, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36510-5_10

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  • DOI: https://doi.org/10.1007/978-3-540-36510-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00653-4

  • Online ISBN: 978-3-540-36510-5

  • eBook Packages: Springer Book Archive

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