Skip to main content

Face Recognition Using Parzenfaces

  • Conference paper
Book cover Artificial Neural Networks – ICANN 2007 (ICANN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4669))

Included in the following conference series:

  • 1882 Accesses

Abstract

A novel discriminant analysis method is presented for the face recognition problem. It has been recently shown that the predictive objectives based on Parzen estimation are advantageous for learning discriminative projections if the class distributions are complicated in the projected space. However, the existing algorithms based on Parzen estimators require expensive computation to obtain the gradient for optimization. We propose here an accelerating technique by reformulating the gradient and implement its computation by matrix products. Furthermore, we point out that regularization is necessary for high-dimensional face recognition problems. The discriminative objective is therefore extended by a smoothness constraint of facial images. Our Parzen Discriminant Analysis method can be trained much faster and achieve higher recognition accuracies than the compared algorithms in experiments on two popularly used face databases.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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.

References

  1. Belhumeur, P., Hespanha, J., Kriegman, D.: Eigenfaces vs. fisherfaces: recognition using class specific linear projection. IEEE Transactions on Pattern Analysis and Machine Intelligence 19(7), 711–720 (1997)

    Article  Google Scholar 

  2. Howland, P., Wang, J., Park, H.: Solving the small sample size problem in face recognition using generalized discriminant analysis. Pattern Recognition 39(2), 277–287 (2006)

    Article  Google Scholar 

  3. Goldberger, J., Roweis, S., Hinton, G., Salakhutdinov, R.: Neighbourhood components analysis. Advances in Neural Information Processing 17, 513–520 (2005)

    Google Scholar 

  4. Peltonen, J., Kaski, S.: Discriminative components of data. IEEE Transactions on Neural Networks 16(1), 68–83 (2005)

    Article  Google Scholar 

  5. Peltonen, J., Goldberger, J., Kaski, S.: Fast discriminative component analysis for comparing examples. In: NIPS (2006)

    Google Scholar 

  6. Phillips, P.J., Moon, H., Rizvi, S.A., Rauss, P.J.: The FERET evaluation methodology for face recognition algorithms. IEEE Trans. Pattern Analysis and Machine Intelligence 22, 1090–1104 (2000)

    Article  Google Scholar 

  7. Harter, F.S.A.: Parameterisation of a stochastic model for human face identification. In: Proceedings of the Second IEEE Workshop on Applications of Computer Vision, pp. 138–142. IEEE Computer Society Press, Los Alamitos (1994)

    Google Scholar 

  8. Horn, R., Johnson, C.: Topics in Matrix Analysis. Cambridge (1994)

    Google Scholar 

  9. Robinson, S.: Toward an optimal algorithm for matrix multiplication. SIAM News 38(9) (2005)

    Google Scholar 

  10. Nishimori, Y., Akaho, S.: Learning algorithms utilizing quasi-geodesic flows on the Stiefel manifold. Neurocomputing 67, 106–135 (2005)

    Article  Google Scholar 

  11. Edelman, A.: The geometry of algorithms with orthogonality constraints. SIAM J. Matrix Anal. Appl. 20(2), 303–353 (1998)

    Article  MATH  Google Scholar 

  12. Hastie, T., Buja, A., Tibshirani, R.: Penalized discriminant analysis. The Annals of Statistics 23(1), 73–102 (1995)

    MATH  Google Scholar 

  13. He, X., Yan, S., Hu, Y., Niyogi, P., Zhang, H.J.: Face recognition using Laplacianfaces. IEEE Transactions on Pattern Analysis And Machine Intelligence 27, 328–340 (2005)

    Article  Google Scholar 

  14. Yang, Z., Laaksonen, J.: Regularized neighborhood component analysis. In: Proceedings of 15th Scandinavian Conference on Image Analysis (SCIA), Aalborg, Denmark, pp. 253–262 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Joaquim Marques de Sá Luís A. Alexandre Włodzisław Duch Danilo Mandic

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, Z., Laaksonen, J. (2007). Face Recognition Using Parzenfaces. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74695-9_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74695-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74693-5

  • Online ISBN: 978-3-540-74695-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics