Skip to main content

The Analysis of Parameters t and k of LPP on Several Famous Face Databases

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6729))

Abstract

The subspace transformation plays an important role in the face recognition. LPP, which is so-called the Laplacianfaces, is a very popular manifold subspace transformation for face recognition, and it aims to preserve the local structure of the samples. Recently, many variants of LPP are proposed. LPP is a baseline in their experiments. LPP uses the adjacent graph to preserve the local structure of the samples. In the original version of LPP, the local structure is determined by the parameters t (the heat kernel) and k (k-nearest neighbors) and directly influences on the performance of LPP. To the best of our knowledge, there is no report on the relation between the performance and these two parameters. The objective of this paper is to reveal this relation on several famous face databases, i.e. ORL, Yale and YaleB.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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 

  2. Belkin, M., Niyogi, P.: Laplacian eigenmaps and spectral techniques for embedding and clustering. Advances in Neural Information Processing Systems 1, 585–592 (2002)

    Google Scholar 

  3. Chen, S.B., Zhao, H.F., Kong, M., Luo, B.: 2D-LPP: a two-dimensional extension of locality preserving projections. Neurocomputing 70(4-6), 912–921 (2007)

    Article  Google Scholar 

  4. Georghiades, A., Belhumeur, P., Kriegman, D.: From few to many: illumination cone models for face recognition under variable lighting and pose. IEEE Transactions on Pattern Analysis and Machine Intelligence 23(6), 643–660 (2001)

    Article  Google Scholar 

  5. He, X.F., Niyogi, P.: Locality preserving projections. In: Advances in Neural Information Processing Systems, vol. 16, pp. 153–160. The MIT Press, Cambridge (2004)

    Google Scholar 

  6. He, X.F., Yan, S.C., Hu, Y.X., 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 

  7. Liu, Y., Liu, Y., Chan, K.C.C.: Tensor distance based multilinear locality-preserved maximum information embedding. IEEE Transactions on Neural Networks 21(11), 1848–1854 (2010)

    Article  Google Scholar 

  8. Park, S., Savvides, M.: An extension of multifactor analysis for face recognition based on submanifold learning. In: 2010 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2645–2652. IEEE, Los Alamitos (2010)

    Chapter  Google Scholar 

  9. Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by locally linear embedding. Science 290(5500), 2323 (2000)

    Article  Google Scholar 

  10. Seung, H.S., Lee, D.D.: The manifold ways of perception. Science 290(5500), 2268–2269 (2000)

    Article  Google Scholar 

  11. Tenenbaum, J.B., Silva, V., Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction. Science 290(5500), 2319 (2000)

    Article  Google Scholar 

  12. Turk, M., Pentland, A.: Eigenfaces for recognition. Journal of Cognitive Neuroscience 3(1), 71–86 (1991)

    Article  Google Scholar 

  13. Wan, M.H., Lai, Z.H., Shao, J., Jin, Z.: Two-dimensional local graph embedding discriminant analysis (2DLGEDA) with its application to face and palm biometrics. Neurocomputing 73(1-2), 197–203 (2009)

    Article  Google Scholar 

  14. Xu, Y., Zhong, A., Yang, J., Zhang, D.: LPP solution schemes for use with face recognition. Pattern Recognition (2010)

    Google Scholar 

  15. Yu, W.W., Teng, X.L., Liu, C.Q.: Face recognition using discriminant locality preserving projections. Image and Vision Computing 24(3), 239–248 (2006)

    Article  Google Scholar 

  16. Yu, W.: Two-dimensional discriminant locality preserving projections for face recognition. Pattern Recognition Letters 30(15), 1378–1383 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, S., Zhang, N., Sun, M., Zhou, C. (2011). The Analysis of Parameters t and k of LPP on Several Famous Face Databases. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds) Advances in Swarm Intelligence. ICSI 2011. Lecture Notes in Computer Science, vol 6729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21524-7_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21524-7_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21523-0

  • Online ISBN: 978-3-642-21524-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics