Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

A Family of Canonical Correlation Networks

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

We have previously introduced [2, 5] a neural implementation of Canonical Correlation Analysis (CCA). In this paper, we re-derive the learning method from a probabilistic perspective and then show that similar networks can be derived based on the pioneering work of Becker [1] if certain simplifying assumptions are made. Becker has shown that her network is able to find depth information from an abstraction of random dot stereogram data and so finally we note the similarity of the derived methods with those of Stone [3] which was used with a smooth stereo disparity data set to extract depth information.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Becker, S.: An Information-theoretic Unsupervised Learning Algorithm for Neural Networks, PhD thesis, October 1992.

  2. Lai, P. L. and Fyfe, C.: A neural network implementation of canonical correlation analysis, Neural Networks 12(10) (1999), 1391–1397.

    Google Scholar 

  3. Stone, J. V.: Learning spatio-temporal invariances. In: L. S. Smith and P. J. B. Hancock, (eds), In: Neural Computation and Psychology Proceedings, Springer-Verlag, Berlin, 1995, pp. 75–85.

    Google Scholar 

  4. Stone, J.: Learning perpetually salient visual parameters using spationtemporal smoothness constraints, Neural Computation 8(7) (1996), 1463–1492.

    Google Scholar 

  5. Lai, P. L. and Fyfe, C.: Canonical correlation analysis using artificial neural networks, In: European Symposium on Artificial Neural Networks, ESANN98, 1998.

  6. Lai, P. L.: A Neural Implementation of Canonical correlation analysis, PhD Thesis, University of Paisley, 2000.

  7. Mardia, K. V., Kent, J. T. and Bibby, J. M.: Multivariate Analysis, Academic Press, 1979.

  8. Baram, Y. and Roth, Z.: Density shaping by neural networks with application to classification, estimation and forecasting, Technical Report 9420, Centre for Intelligent Systems, Technion, Israel, 1994.

    Google Scholar 

  9. Smola, A. J. and Scholkopf, B.: A tutorial on support vector regression, Technical Report NC2-TR-1998-030, NeuroCOLT2 Technical Report Series, Oct. 1998.

  10. Bishop, C.: Neural Networks for Pattern Recognition, Oxford: Clarendon Press, 1995.

    Google Scholar 

  11. Oja, E.: A simplified neuron model as a principal component analyser, Journal of Mathematical Biology 16 (1982), 267–273.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lai, P.L., Fyfe, C. A Family of Canonical Correlation Networks. Neural Processing Letters 14, 93–105 (2001). https://doi.org/10.1023/A:1012412014706

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012412014706