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Discriminative Training of Subspace Gaussian Mixture Model for Pattern Classification

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Advanced Intelligent Computing Theories and Applications (ICIC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6215))

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Abstract

The Gaussian mixture model (GMM) has been widely used in pattern recognition problems for clustering and probability density estimation. For pattern classification, however, the GMM has to consider two issues: model structure in high-dimensional space and discriminative training for optimizing the decision boundary. In this paper, we propose a classification method using subspace GMM density model and discriminative training. During discriminative training under the minimum classification error (MCE) criterion, both the GMM parameters and the subspace parameters are optimized discriminatively. Our experimental results on the MNIST handwritten digit data and UCI datasets demonstrate the superior classification performance of the proposed method.

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References

  1. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum Likelihood from Incomplete Data Via the EM Algorithm. J. Royal Statistical Soc. Ser. B 39(1), 1–38 (1977)

    MathSciNet  MATH  Google Scholar 

  2. Figueiredo, M.A.T., Jain, A.K.: Unsupervised Learning of Finite Mixture Models. IEEE Trans. Pattern Analysis and Machine Intelligence 24(3), 381–396 (2002)

    Article  Google Scholar 

  3. Gales, M.J.F.: Semi-tied Covariance Matrices for Hidden Markov Models. IEEE Trans. Speech and Audio Processing 7(3), 272–281 (1999)

    Article  Google Scholar 

  4. Moghaddam, B., Pentland, A.: Probabilistic Visual Learning for Object Representation. IEEE Trans. Pattern Analysis and Machine Intelligence 19(7), 696–710 (1997)

    Article  Google Scholar 

  5. Liu, X.-H., Liu, C.-L., Hou, X.-W.: A Pooled Subspace Mixture Density Model for Pattern Classification in High-dimensional Spaces. In: Proc. IJCNN 2008, Hong Kong, pp. 2467–2472 (2008)

    Google Scholar 

  6. Bahl, L., Brown, P., de Souza, P., Mercer, R.: Maximum Mutual Information Estimation of Hidden Markov Model Parameters for Speech Recognition. In: Proc. Int’l. Conf. on Acoustics, Speech and Signal Processing, Tokyo, vol. 1, pp. 49–52 (1986)

    Google Scholar 

  7. Juang, B.-H., Chou, W., Lee, C.-H.: Minimum Classification Error Rate Methods for Speech Recognition. IEEE Trans. Speech Audio Process. 5(3), 257–265 (1997)

    Article  Google Scholar 

  8. Dahmen, J., Schluter, R., Ney, H.: Discriminative Training of Gaussian Mixtures for Image Object Recognition. In: Proc. 21st Symposium of German Association for Pattern Recognition, Bonn, Germany, pp. 205–212 (1999)

    Google Scholar 

  9. Zhou, X., Wang, X.: Optimisation of Gaussian Mixture Model for Satellite Image Classification. IEE Proc.-Vision, Image and Signal Processing 153(3), 349–356 (2006)

    Article  Google Scholar 

  10. Zhang, R., Ding, X.: Offline Handwritten Numeral Recognition Using Orthogonal Gaussian Mixture Model. In: Proc. 6th Int. Conf. Document Analysis and Recognition, pp. 1126–1129 (2001)

    Google Scholar 

  11. Schluter, R., Macherey, W., Muller, B., Ney, H.: Comparison of Discriminative Training Criteria and Optimization Methods for Speech Recognition. Speech Communication 34(1), 287–310 (2001)

    Article  MATH  Google Scholar 

  12. Li, Q., Juang, B.-H.: A New Algorithm for Fast Discriminative Training. In: Proc. ICASSP 2002, Orlando, vol. 1, pp. 97–100 (2002)

    Google Scholar 

  13. Moghaddam, B., Jebara, T., Pentland, A.: Bayesian Face Recognition. Pattern Recognition 33(11), 1771–1782 (2000)

    Article  Google Scholar 

  14. Chen, X., Liu, X., Jia, Y.: Unsupervised Selection and Discriminative Estimation of Orthogonal Gaussian Mixture Models for Handwritten Digit Recognition. In: Proc. 10th ICDAR, Barcelona, Spain, pp. 1151–1155 (2009)

    Google Scholar 

  15. Liu, C.-L., Sako, H., Fujisawa, H.: Discriminative Learning Quadratic Discriminant Function for Handwriting Recognition. IEEE Trans. Neural Networks 15(2), 430–444 (2004)

    Article  Google Scholar 

  16. LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based Learning Applied to Document Recognition. Proc. IEEE 86(11), 2278–2324 (1998)

    Article  Google Scholar 

  17. UCI Machine Learning Repository, http://archive.ics.uci.edu/ml/

  18. Watanabe, H., Katagiri, S.: Subspace Method for Minimum Error Pattern Recognition. IEICE Trans. Information Syst. E80-D(12), 1095–1104 (1997)

    Google Scholar 

  19. Liu, C.-L., Nakashima, K., Sako, H., Fujisawa, H.: Handwritten Digit Recognition: benchmarking of state-of-art techniques. Pattern Recognition 36, 2271–2285 (2003)

    Article  MATH  Google Scholar 

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Liu, XH., Liu, CL. (2010). Discriminative Training of Subspace Gaussian Mixture Model for Pattern Classification. In: Huang, DS., Zhao, Z., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2010. Lecture Notes in Computer Science, vol 6215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14922-1_27

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  • DOI: https://doi.org/10.1007/978-3-642-14922-1_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14921-4

  • Online ISBN: 978-3-642-14922-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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