Skip to main content

The GA-Based Bayes-Optimal Feature Extraction Procedure Applied to the Supervised Pattern Recognition

  • Conference paper
Artificial Intelligence and Soft Computing – ICAISC 2008 (ICAISC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5097))

Included in the following conference series:

Abstract

The paper deals with the extraction of features for statistical pattern recognition. Bayes probability of correct classification is adopted as the extraction criterion. The problem with complete probabilistic information is discussed and next the Bayes-optimal feature extraction procedure for the supervised classfication is presented in detail. As method of solution of optimal feature extraction a genetic algorithm is proposed. Several computer experiments for wide spectrum of cases were made and their results demonstrating capability of proposed approach to solve feature extraction problem are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Buturovic, L.: Toward Bayes-Optimal Linear Dimension Reduction. IEEE Trans. on PAMI 16, 420–424 (1994)

    Google Scholar 

  2. Choi, E., Lee, C.: Feature Extraction Based on the Bhattacharyya Distance. Pattern Recognition 36, 1703–1709 (2002)

    Article  Google Scholar 

  3. Devroye, L., Gyorfi, P., Lugossi, G.: A Probabilistic Theory of Pattern Recognition. Springer, New York (1996)

    MATH  Google Scholar 

  4. Duda, R., Hart, P., Stork, D.: Pattern Classification. Wiley-Interscience, New York (2001)

    MATH  Google Scholar 

  5. Fukunaga, K.: Introduciton to Statistical Pattern Recognition. Academic Press, London (1990)

    Google Scholar 

  6. Golub, G., Van Loan, C.: Matrix Computations. Johns Hopkins University Press (1996)

    Google Scholar 

  7. Guyon, I., Gunn, S., Nikravesh, M., Zadeh, L.: Feature Extraction. Foundations and Applications. Springer, Heidelberg (2004)

    Google Scholar 

  8. Goldberg, D.: Genetic Algorithms in Search, Optimization and Machine Learning. Adison-Wesley, New York (1989)

    MATH  Google Scholar 

  9. Herrera, F., Lozano, M.: Gradual Distributed Real-Coded Genetic Algorithm. IEEE Trans. on Evolutionary Computing 4, 43–63 (2000)

    Article  Google Scholar 

  10. Hsieh, P., Wang, D., Hsu, C.: A Linear Feature Extraction for Multiclass Classification Problems Based on Class Mean and Covariance Discriminant Information. IEEE Trans. on PAMI 28, 223–235 (2006)

    Google Scholar 

  11. Kubota, S., Mizutani, H., Yoshiaki, K.: A Discriminative Learning Criterion for the Overall Optimization of Error and Reject. In: Proc. 16th Int. Conf. on Pattern Recognition, vol. 4, pp. 498–502 (2002)

    Google Scholar 

  12. Kuo, B., Landgrebe, D.: A Robust Classification Procedure Based on Mixture Classifiers and Nonparametric Weighted Feature Extraction. IEEE Trans. on GRS 40, 2486–2494 (2002)

    Google Scholar 

  13. Puchala, E., Kurzynski, M.W., Rewak, A.: The Bayes-Optimal Feature Extraction Procedure for Pattern Recognition Using Genetic Algorithm. In: Kollias, S., Stafylopatis, A., Duch, W., Oja, E. (eds.) ICANN 2006. LNCS, vol. 4131, pp. 21–30. Springer, Heidelberg (2006)

    Google Scholar 

  14. Loog, M., Duin, R., Haeb-Umbach, R.: Multiclass Linear Dimension Reduction by Meighted Pairwise Fisher Criteria. IEEE Trans. on PAMI 23, 762–766 (2001)

    Google Scholar 

  15. Michalewicz, Z.: Genetic Algorithms + Data Structure = Evolution Programs. Springer, New York (1996)

    Google Scholar 

  16. Park, H., Park, C., Pardalos, P.: Comparitive Study of Linear and Nonlinear Feature Extraction Methods - Technical Report. Minneapolis (2004)

    Google Scholar 

  17. Raymer, M., Punch, W., et al.: Dimensionality Reduction Using Genetic Algorithms. IEEE Trans. on EC 4, 164–168 (2002)

    Google Scholar 

  18. Rovithakis, G., Maniadakis, M., Zervakis, M.: A Hybrid Neural Network and Genetic Algorithm Approach to Optimizing Feature Extraction for Signal Classification. IEEE Trans. on SMC 34, 695–702 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Leszek Rutkowski Ryszard Tadeusiewicz Lotfi A. Zadeh Jacek M. Zurada

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kurzynski, M., Rewak, A. (2008). The GA-Based Bayes-Optimal Feature Extraction Procedure Applied to the Supervised Pattern Recognition. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2008. ICAISC 2008. Lecture Notes in Computer Science(), vol 5097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69731-2_60

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69731-2_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69572-1

  • Online ISBN: 978-3-540-69731-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics