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Method of Evolving Non-stationary Multiple Kernel Learning

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Neural Information Processing (ICONIP 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8835))

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Abstract

Recently, evolving multiple kernel learning methods have attracted researchers’ attention due to the ability to find the composite kernel with the optimal mapping model in a large high-dimensional feature space. However, it is not suitable to compute the composite kernel in a stationary way for all samples. In this paper, we propose a method of evolving non-stationary multiple kernel learning, in which base kernels are encoded as tree kernels and a gating function is used to determine the weights of the tree kernels simultaneously. Obtained classifiers have the composite kernel with the optimal mapping model and select the most appropriate combined weights according to the input samples. Experimental results on several UCI datasets illustrate the validity of proposed method.

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References

  1. Vapnik, V.: The nature of statistical learning theory. Springer (1999)

    Google Scholar 

  2. Lanckriet, G.R., Cristianini, N., Bartlett, P., et al.: Learning the kernel matrix with semidefinite programming. The Journal of Machine Learning Research 5, 27–72 (2004)

    MathSciNet  MATH  Google Scholar 

  3. Bach, F.R., Lanckriet, G.R., Jordan, M.I.: Multiple kernel learning, conic duality, and the smo algorithm. In: Proceedings of the Twenty-first International Conference on Machine Learning, pp. 41–48. ACM (2004)

    Google Scholar 

  4. Sonnenburg, S., Rätsch, G., Schäfer, C., Schölkopf, B.: Large scale multiple kernel learning. The Journal of Machine Learning Research 7, 1531–1565 (2006)

    MATH  Google Scholar 

  5. Rakotomamonjy, A., Bach, F., Canu, S., Grandvalet, Y.: SimpleMKL. Journal of Machine Learning Research 9, 2491–2521 (2008)

    MathSciNet  MATH  Google Scholar 

  6. Wu, P., Duan, F., Guo, P.: A pre-selecting base kernel method in multiple kernel learning. Neurocomputing (accepted, 2014)

    Google Scholar 

  7. Sullivan, K.M., Luke, S.: Evolving kernels for support vector machine classification. In: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation, pp. 1702–1707. ACM (2007)

    Google Scholar 

  8. Methasate, I., Theeramunkong, T.: Kernel trees for support vector machines. IEICE Transactions on Information and Systems 90(10), 1550–1556 (2007)

    Article  Google Scholar 

  9. Dioşan, L., Rogozan, A., Pecuchet, J.P.: Improving classification performance of support vector machine by genetically optimising kernel shape and hyper-parameters. Applied Intelligence 36(2), 280–294 (2012)

    Article  Google Scholar 

  10. Lewis, D.P., Jebara, T., Noble, W.S.: Nonstationary kernel combination. In: Proceedings of the 23rd International Conference on Machine Learning, pp. 553–560. ACM (2006)

    Google Scholar 

  11. Gönen, M., Alpaydin, E.: Localized algorithms for multiple kernel learning. Pattern Recognition 46, 795–807 (2013)

    Article  MATH  Google Scholar 

  12. Cho, Y., Saul, L.K.: Kernel methods for deep learning. In: Advances in Neural Information Processing Systems, pp. 342–350 (2009)

    Google Scholar 

  13. Bache, K., Lichman, M.: UCI machine learning repository. University of California, School of Information and Computer Science, Irvine (2013), http://archive.ics.uci.edu/ml

    Google Scholar 

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Wu, P., Yin, Q., Guo, P. (2014). Method of Evolving Non-stationary Multiple Kernel Learning. In: Loo, C.K., Yap, K.S., Wong, K.W., Teoh, A., Huang, K. (eds) Neural Information Processing. ICONIP 2014. Lecture Notes in Computer Science, vol 8835. Springer, Cham. https://doi.org/10.1007/978-3-319-12640-1_3

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  • DOI: https://doi.org/10.1007/978-3-319-12640-1_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12639-5

  • Online ISBN: 978-3-319-12640-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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