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Sparse Bayes Machines for Binary Classification

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Artificial Neural Networks - ICANN 2008 (ICANN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5163))

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Abstract

In this paper we propose a sparse representation for the Bayes Machine based on the approach followed by the Informative Vector Machine (IVM). However, some extra modifications are included to guarantee a better approximation to the posterior distribution. That is, we introduce additional refining stages over the set of active patterns included in the model. These refining stages can be thought as a backfitting algorithm that tries to fix some of the mistakes that result from the greedy approach followed by the IVM. Experimental comparison of the proposed method with a full Bayes Machine and a Support Vector Machine seems to confirm that the method is competitive with these two techniques. Statistical tests are also carried out to support these results.

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References

  1. Hernández-Lobato, D., Hernández-Lobato, J.M.: Bayes machines for binary classification. Pattern Recognition Letters 29, 1466–1473 (2008)

    Article  Google Scholar 

  2. Herbrich, R., Graepel, T., Campbell, C.: Bayes point machines. Journal of Machine Learning Research 1, 245–279 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Minka, T.: A Family of Algorithms for approximate Bayesian Inference. PhD thesis, Massachusetts Institute of Technology (2001)

    Google Scholar 

  4. Vapnik, V.N.: The nature of statistical learning theory. Springer, New York (1995)

    MATH  Google Scholar 

  5. Kim, H.C., Ghahramani, Z.: Bayesian gaussian process classification with the em-ep algorithm. IEEE Transactions on Pattern Analisys Machine Intelligence 28(12), 1948–1959 (2006)

    Article  Google Scholar 

  6. Lawrence, N., Seeger, M., Herbrich, R.: Fast sparse gaussian process methods: The informative vector machine. In: Becker, S., Thrun, S., Obermayer, K. (eds.) Advances in Neural Information Processing Systems, vol. 15, pp. 609–616. MIT Press, Cambridge (2003)

    Google Scholar 

  7. Seeger, M.: Bayesian Gaussian Process Models: PAC-Bayesian Generalisation Error Bounds and Sparse Approximations. PhD thesis (2003)

    Google Scholar 

  8. Bishop, C.M.: Pattern Recognition and Machine Learning (Information Science and Statistics). Springer, Heidelberg (August 2006)

    Google Scholar 

  9. Gill, P.E., Golub, G.H., Murray, W., Saunders, M.A.: Methods for modifying matrix factorizations. Mathematics of Computation 28(126), 505–535 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  10. LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proceedings of the IEEE 86(11), 2278–2324 (1998)

    Article  Google Scholar 

  11. Demšar, J.: Statistical comparisons of classifiers over multiple data sets. Journal of Machine Learning Research 7, 1–30 (2006)

    Google Scholar 

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Véra Kůrková Roman Neruda Jan Koutník

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Hernández-Lobato, D. (2008). Sparse Bayes Machines for Binary Classification. In: Kůrková, V., Neruda, R., Koutník, J. (eds) Artificial Neural Networks - ICANN 2008. ICANN 2008. Lecture Notes in Computer Science, vol 5163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87536-9_22

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  • DOI: https://doi.org/10.1007/978-3-540-87536-9_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87535-2

  • Online ISBN: 978-3-540-87536-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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