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The Sphere-Concatenate Method for Gaussian Process Canonical Correlation Analysis

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Artificial Neural Networks – ICANN 2006 (ICANN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4132))

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Abstract

We have recently developed several ways of using Gaussian Processes to perform Canonical Correlation Analysis. We review several of these methods, introduce a new way to perform Canonical Correlation Analysis with Gaussian Processes which involves sphering each data stream separately with probabilistic principal component analysis (PCA), concatenating the sphered data and re-performing probabilistic PCA. We also investigate the effect of sparsifying this last method. We perform a comparative study of these methods.

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References

  1. Bach, F.R., Jordan, M.I.: A probabilistic interpretation of canonical correlation analysis. Technical Report 688, Dept. of Statistics, University of California (2005)

    Google Scholar 

  2. Fyfe, C., Leen, G.: Stochastic processes for canonical correlation analysis. In: 14th European Symposium on Artificial Neural Networks (2006)

    Google Scholar 

  3. Gou, Z.K., Fyfe, C.: A canonical correlation neural network for multicollinearity and functional data. Neural Networks (2003)

    Google Scholar 

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

    Article  Google Scholar 

  5. Lai, P.L., Leen, G., Fyfe, C.: A comparison of stochastic processes and artificial neural networks for canonical correlation analysis. In: International Joint Conference on Neural Networks (2006)

    Google Scholar 

  6. MacKay, D.J.C.: Introduction to gaussian processes. Technical report, University of Cambridge (1997), http://www.inference.phy.cam.uk/mackay/gpB.pdf

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

    MATH  Google Scholar 

  8. Rasmussen, C.E.: Advanced Lectures on Machine Learning. In: Gaussian Processes in Machine Learning, pp. 63–71 (2003)

    Google Scholar 

  9. Scholkopf, B., Smola, A., Muller, K.-R.: Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation 10, 1299–1319 (1998)

    Article  Google Scholar 

  10. Tipping, M.: Sparse kernel principal component analysis. In: NIPS (2003)

    Google Scholar 

  11. Williams, C.K.I.: Prediction with gaussian processes: from linear regression to linear prediction and beyond. Technical report, Aston University (1997)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Lai, P.L., Leen, G., Fyfe, C. (2006). The Sphere-Concatenate Method for Gaussian Process Canonical Correlation Analysis. In: Kollias, S., Stafylopatis, A., Duch, W., Oja, E. (eds) Artificial Neural Networks – ICANN 2006. ICANN 2006. Lecture Notes in Computer Science, vol 4132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11840930_31

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  • DOI: https://doi.org/10.1007/11840930_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38871-5

  • Online ISBN: 978-3-540-38873-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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