Skip to main content
Log in

Invariance in radial basis function neural networks in human face classification

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

This paper is concerned with the types of invariance exhibited by Radial Basis Function (RBF) neural networks when used for human face classification, and the generalisation abilities arising from this behaviour. Experiments using face images in ranges from face-on to profile show the RBF network's invariance to 2-D shift, scale and y-axis rotation. Finally, the suitability of RBF techniques for future, more automated face classification purposes is discussed.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Moody, C. Darken. Learning with localized receptive fields, in D. Touretzky, G. Hinton, T. Sejnowski, eds,Proc. 1988 Connectionist Models Summer School, Morgan Kaufmann, pp. 133–143, 1988.

  2. T. Poggio, F. Girosi. Regularization algorithms for learning that are equivalent to multilayer networks,Science, no. 247, pp. 978–982, 1990.

    MathSciNet  ADS  Google Scholar 

  3. F. Girosi. Some extensions of radial basis functions and their applications in artifical intelligence,Computers Math. Applic., vol. 24, no. 12, pp. 61–80, 1992.

    MATH  MathSciNet  Google Scholar 

  4. M. T. Musavi, W. Ahmad, K. H. Chan, K. B. Faris, D. M. Hummels. On the training of radial basis function classifiers,Neural Networks, vol. 5, pp. 595–603, 1992.

    Article  Google Scholar 

  5. S. Ahmad, V. Tresp. Some solutions to the missing feature problem in vision. In S. J. Hanson, J. D. Cowan, C. L. Giles, eds,Adv. in Neural Information Processing Systems, vol. 5, Morgan Kaufmann, 1993.

  6. V. Bruce, A. Young. Understanding face recognition,British Journal of Psychology, no. 77, pp. 305–327, 1986.

    Google Scholar 

  7. V. Bruce.Recognising Faces, Lawrence Erlbaum Associates, 1988.

  8. H. D. Ellis, A. W. Young. Are faces special? In A. W. Young, H. D. Ellis, eds,Handbook of Research on Face Processing, North-Holland, 1989.

  9. D. C. Hay, A. Young. The human face. In H. D. Ellis, ed.,Normality and Pathology in Cognitive Functions, Academic Press, 1982.

  10. D. C. Hay, A. Young, A. W. Ellis. Routes through the face recognition system,Q. Journal of Experimental Psychology, vol. 43, pp. 761–791, 1991.

    Google Scholar 

  11. S. Chen, C. F. N. Cowan, P. M. Grant. Orthogonal least squares learning algorithm for radial basis function networks,IEEE Trans. on Neural Networks, vol. 2, pp. 302–309, 1991.

    Article  Google Scholar 

  12. J. A. Hertz, A. Krogh, R. G. Palmer.Introduction to the Theory of Neural Computation, Addison-Wesley, 1991.

  13. A. J. Howell, H. Buxton. Invariance in radial basis function neural networks in human face classification,Technical Report CSRP 365, School of Cognitive and Computing Sciences, University of Sussex, 1995.

  14. D. Marr.Vision, Freeman, 1982.

  15. K. Stokbro, D. K. Umberger, J. A. Hertz. Exploiting neurons with localized receptive fields to learn chaos,Complex Systems, vol. 4, pp. 603–622, 1990.

    Google Scholar 

  16. M. Turk, A. Pentland. Eigenfaces for recognition,Journal of Cognitive Neuroscience, vol. 3, no. 1, pp. 71–86, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Howell, A.J., Buxton, H. Invariance in radial basis function neural networks in human face classification. Neural Process Lett 2, 26–30 (1995). https://doi.org/10.1007/BF02311576

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02311576

Keywords

Navigation