Skip to main content

Nonnegative-Least-Square Classifier for Face Recognition

  • Conference paper
Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5553))

Included in the following conference series:

Abstract

In this paper, we propose a novel classification method, based on Nonnegative-Least-Square (NNLS) algorithm, for face recognition. Different from traditional classifiers, in our classifier, we consider each new sample (face) as a nonnegative linear combination of training samples (faces). By forcing the nonnegative constraint on linear coefficients, we obtain the nonnegative sparse representation that automatically discriminates between those classes present in the training set. Experimental results show the promising aspects of new classifier when comparing with the most popular classifiers such as Nearest Neighborhood (NN), Nearest Centroid (NC), and Nearest Subspace (NS) in terms of recognition accuracy, efficiency, and numerical stability. Eigenfaces, Fisherfaces, and Laplacianfaces are performed on Yale and ORL databases as feature extraction in these experiments.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Turk, M., Pentland, A.: Eigenfaces for recognition. Journal of Cognitive Neuroscience 3(1), 71–86 (1991)

    Article  Google Scholar 

  2. Belhumeur, P.N., Hespanha, J.P., Kriegman, D.J.: 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 

  3. Fukunaga, K.: Introduction to statistical pattern recognition. Academic Press Professional, Inc., San Diego (1990)

    MATH  Google Scholar 

  4. Zhao, W., Chellappa, R., Krishnaswamy, A.: Discriminant analysis of principal components for face recognition. In: FG 1998: Proceedings of the 3rd. International Conference on Face & Gesture Recognition, p. 336. IEEE Computer Society, Washington (1998)

    Google Scholar 

  5. Yu, H., Yang, J.: A direct lda algorithm for high-dimensional data - with application to face recognition. Pattern Recognition 34(10), 2067–2070 (2001)

    Article  MATH  Google Scholar 

  6. Chen, L.F., Liao, H.Y.M., Ko, M.T., Lin, J.C., Yu, G.J.: A new lda-based face recognition system which can solve the small sample size problem. Pattern Recognition 33(10), 1713–1726 (2000)

    Article  Google Scholar 

  7. Huang, R., Liu, Q., Lu, H., Ma, S.: Solving the small sample size problem of lda. In: ICPR 2002: Proceedings of the 16 th International Conference on Pattern Recognition (ICPR 2002), vol. 3, p. 30029. IEEE Computer Society, Washington (2002)

    Google Scholar 

  8. Cevikalp, H., Neamtu, M., Wilkes, M., Barkana, A.: Discriminative common vectors for face recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(1), 4–13 (2005)

    Article  Google Scholar 

  9. He, X., Yan, S., Hu, Y., Niyogi, P., Zhang, H.J.: Face recognition using laplacianfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(3), 328–340 (2005)

    Article  Google Scholar 

  10. Cover, T., Hart, P.: Nearest neighbor pattern classification. IEEE Transactions on Information Theory 13(1), 21–27 (1967)

    Article  MATH  Google Scholar 

  11. Lawson, C.L., Hanson, R.J.: Solving least squares problems. Prentice-Hall Series in Automatic Computation. Prentice-Hall, Englewood Cliffs (1974)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vo, N., Moran, B., Challa, S. (2009). Nonnegative-Least-Square Classifier for Face Recognition. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5553. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01513-7_49

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01513-7_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01512-0

  • Online ISBN: 978-3-642-01513-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics