Skip to main content

Canonical Correlation Analysis for Multiview Semisupervised Feature Extraction

  • Conference paper
Artificial Intelligence and Soft Computing (ICAISC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6113))

Included in the following conference series:

Abstract

Hotelling’s Canonical Correlation Analysis (CCA) works with two sets of related variables, also called views, and its goal is to find their linear projections with maximal mutual correlation. CCA is most suitable for unsupervised feature extraction when given two views but it has been also long known that in supervised learning when there is only a single view of data given, the supervision signal (class-labels) can be given to CCA as the second view and CCA simply reduces to Fisher’s Linear Discriminant Analysis (LDA). However, it is unclear how to use this equivalence for extracting features from multiview data in semisupervised setting (i.e. what modification to the CCA mechanism could incorporate the class-labels along with the two views of the data when labels of some samples are unknown). In this paper, a CCA-based method supplemented by the essence of LDA is proposed for semi-supervised feature extraction from multiview data.

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. Fisher, R.A.: The Use of Multiple Measurements in Taxonomic Problems. Annals of Eugenics 7, 179–188 (1936)

    Google Scholar 

  2. Hotelling, H.: Relations between two sets of variates. Biometrika 28, 321–377 (1936)

    MATH  Google Scholar 

  3. Favorov, O.V., Ryder, D.: SINBAD: a neocortical mechanism for discovering environmental variables and regularities hidden in sensory input. Biological Cybernetics 90, 191–202 (2004)

    Article  MATH  Google Scholar 

  4. Kettenring, J.R.: Canonical analysis of several sets of variables. Biometrika 58, 433–451 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  5. Bartlett, M.S.: Further aspects of the theory of multiple regression. Proc. Camb. Philos. Soc. 34, 33–40 (1938)

    Article  Google Scholar 

  6. Hardoon, D., Szedmak, S., Shawe-Taylor, J.: Canonical correlation analysis: an overview with application to learning methods. Neural Computation 16, 2639–2664 (2004)

    Article  MATH  Google Scholar 

  7. Alpaydin, E.: Introduction to Machine Learning (Adaptive Computation and Machine Learning Series). The MIT Press, Cambridge (2004)

    Google Scholar 

  8. Loog, M., van Ginneken, B., Duin, R.P.W.: Dimensionality reduction of image features using the canonical contextual correlation projection. Pattern Recognition 38, 2409–2418 (2005)

    Article  Google Scholar 

  9. Barker, M., Rayens, W.: Partial least squares for discrimination. Journal of Chemometrics 17, 166–173 (2003)

    Article  Google Scholar 

  10. Sun, T., Chen, S.: Class label versus sample label-based CCA. Applied Mathematics and Computation 185, 272–283 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. van Breukelen, M., Duin, R.P.W., Tax, D.M.J., den Hartog, J.E.: Handwritten digit recognition by combined classifiers. Kybernetika 34(4), 381–386 (1998)

    Google Scholar 

  12. Asuncion, A., Newman, D.J.: UCI Machine Learning Repository. University of California, Department of Information and Computer Science, Irvine (2007)

    Google Scholar 

  13. Borga, M.: Learning Multidimensional signal processing, PhD thesis, Department of Electrical Engineering, Linköping University, Linköping, Sweden (1998)

    Google Scholar 

  14. Hsu, C.W., Lin, C.J.: A Comparison of Methods for Multi-Class Support Vector Machines. IEEE Trans. Neural Networks 13, 415–425 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kursun, O., Alpaydin, E. (2010). Canonical Correlation Analysis for Multiview Semisupervised Feature Extraction. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2010. Lecture Notes in Computer Science(), vol 6113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13208-7_54

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13208-7_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13207-0

  • Online ISBN: 978-3-642-13208-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics