Skip to main content

Orthogonal Centroid Locally Linear Embedding for Classification

  • Conference paper
Book cover Advanced Data Mining and Applications (ADMA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5678))

Included in the following conference series:

  • 2196 Accesses

Abstract

The locally linear embedding (LLE) algorithm is an unsupervised technique for nonlinear dimensionality reduction which can represent the underlying manifold as well as possible. While in classification, data label information is available and our main purpose changes to represent class separability as well as possible. To the end of classification, we propose a new supervised variant of LLE, called orthogonal centroid locally linear embedding (OCLLE) algorithm in this paper. It uses class membership information to map overlapping high-dimensional data into disjoint clusters in the embedded space. Experiments show that very promising results are yielded by this variant.

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.N., Hespanha, J.P., Kriegman, D.J.: Eigenfaces vs.Fisherfaces: Recognition using Class Specific Linear Projection. IEEE Trans. Pattern Anal. Mach. Intell. 19, 711–720 (1997)

    Article  Google Scholar 

  2. Park, H., Jeon, M., Rosen, J.B.: Lower Dimensional Representation of Text Data Based on Centroids and Least Squares. BIT Numerical Math. 43, 427–448 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  3. Okun, O., Kouropteva, O., Pietikainen, M.: Supervised Locally Linear Embedding Algorithm. In: Tenth Finnish Artificial Intelligence Conference, pp. 50–61 (2002)

    Google Scholar 

  4. de Ridder, D., Duin, R.P.W.: Locally Linear Embedding for Classification. Technical Report PH-2002-01, Pattern Recognition Group, Department of Imaging Science and Technology, Delft University of Technology, Delft, The Netherlands (2002)

    Google Scholar 

  5. Liang, D., Yang, J., Zheng, Z.L., Chang, Y.C.: A Facial Expression Recognition System based on Supervised Locally Linear Embedding. Pattern Recogn. Lett. 26, 2374–2389 (2005)

    Article  Google Scholar 

  6. Wang, M., Yang, J., Xu, Z.J., Chou, K.C.: SLLE for Predicting Membrane Protein Types. J. Theor. Biol. 232, 7–15 (2005)

    Article  MathSciNet  Google Scholar 

  7. Roweis, S.T., Saul, L.K.: Nonlinear Dimensionality Reduction by Locally Linear Embedding. Science 290(5500), 2323–2326 (2000)

    Article  Google Scholar 

  8. Saul, L.K., Roweis, S.T.: Think Globally, Fit Locally: Unsupervised Learning of Low Dimensional Manifolds. J. Mach. Learning Res. 4, 119–155 (2003)

    MathSciNet  MATH  Google Scholar 

  9. de Ridder, D., Kouropteva, O., Okun, O., Pietikainen, M., Duin, R.: Supervised Locally Linear Embedding. In: Thirteenth International Conference on Artificial Neural Networks, pp. 333–341 (2003)

    Google Scholar 

  10. Hettich, S., Blake, C., Merz, C.: UCI repository of machine learning databases. University of California, Irvine, Dept. of Information and Computer Sciences (1998), http://www.ics.uci.edu/_mlearn/MLRepository.html

    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

Wang, Y., Hu, Y., Wu, Y. (2009). Orthogonal Centroid Locally Linear Embedding for Classification. In: Huang, R., Yang, Q., Pei, J., Gama, J., Meng, X., Li, X. (eds) Advanced Data Mining and Applications. ADMA 2009. Lecture Notes in Computer Science(), vol 5678. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03348-3_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03348-3_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03347-6

  • Online ISBN: 978-3-642-03348-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics