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Simplified Support Vector Machines Via Kernel-Based Clustering

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4304))

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Abstract

Reduced set method is an important approach to speed up classification process of support vector machine (SVM) by compressing the number of support vectors included in the machine’s solution. Existing works find the reduced set vectors based on solving an unconstrained optimization problem with multivariables, which may suffer from numerical instability or get trapped in a local minimum. In this paper, a novel reduced set method relying on kernel-based clustering is presented to simplify SVM solution. This approach is conceptually simpler, involves only linear algebra and overcomes the difficulties existing in former reduced set methods. Experiments on real data sets indicate that the proposed method is effective in simplifying SVM solution while preserving machine’s generalization performance.

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References

  1. Vapnik, V.: Statistical Learning Theory. Wiley, New York (1998)

    MATH  Google Scholar 

  2. Burges, C.J.C.: Simplified Support Vector Decision Rules. In: 13th International Conference on Machine Learning, pp. 71–77 (1996)

    Google Scholar 

  3. Schoelkopf, B., Mika, S., Burges, C.J.C., Knirsch, P., Muller, K., Ratsch, G., Smola, A.J.: Input space versus feature space in kernel-based methods. IEEE Trans. Neural Netw. 10(5), 1000–1017 (1999)

    Article  Google Scholar 

  4. Schoelkopf, B., Smola, A.: Learning with kernels. MIT Press, Cambridge (2002)

    Google Scholar 

  5. Mika, S., Scholkopf, B., Smola, A., Muller, K., Scholz, M., Ratsch, G.: Kernel PCA and denoising in feature spaces. In: Advances in Neural Information Processing Systems, vol. 11, Morgan Kaufmann, San Mateo (1998)

    Google Scholar 

  6. Xiao-Li, L., Ji-Min, L., Zhong-Zhi, S.: A Chinese Web Page Classifier Based on Support Vector Machine and Unsupervised Clustering. Chinese J. Computers, 62–68 (January 2001)

    Google Scholar 

  7. Kwok, J.T., Tsang, I.W.: The pre-image problem in kernel methods. IEEE Transactions on Neural Networks 15, 1517–1525 (2004)

    Article  Google Scholar 

  8. Williams, C.K.: On a connection between kernel PCA and metric multidimensional scaling. Machine Learning 46, 11–19 (2002)

    Article  MATH  Google Scholar 

  9. Gower, J.C.: Adding a point to vector diagrams in multivariate analysis. Biometrika 55, 582–585 (1968)

    Article  MATH  Google Scholar 

  10. Chang, C.-C., Lin, C.-J.: LIBSVM: a library for support vector machines (2001), Software available at http://www.csie.ntu.edu.tw/cjlin/libsvm

  11. Murphy, P.M., Aha, D.W.: UCI repository of machine learning databases. Irvine, CA (1994), available at http://www.ics.uci.edu/~mlearn/MLRepository.html

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© 2006 Springer-Verlag Berlin Heidelberg

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Zeng, ZQ., Gao, J., Guo, H. (2006). Simplified Support Vector Machines Via Kernel-Based Clustering. In: Sattar, A., Kang, Bh. (eds) AI 2006: Advances in Artificial Intelligence. AI 2006. Lecture Notes in Computer Science(), vol 4304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11941439_146

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  • DOI: https://doi.org/10.1007/11941439_146

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-49787-5

  • Online ISBN: 978-3-540-49788-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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