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Generalised Canonical Correlation Analysis

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1983))

Abstract

Canonical Correlation Analysis [3] is used when we have two data sets which we believe have some underlying correlation. In this paper, we derive a new family of neural methods for finding the canonical correlation directions by solving a generalized eigenvalue problem. Based on the differential equation for the generalized eigenvalue problem, a family of CCA learning algorithms can be obtained. We compare our family of methods with a previously derived [2] CCA learning algorithm. Our results show that all the new learning algorithms of this family have the same order of convergence speed and in particular are much faster than existing algorithms; they are also shown to be able to find greater nonlinear correlations. They are also much more robust with respect to parameter selection.

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References

  1. J. O. Ramsay and B. W. Silverman. Functional Data Analysis. Springer, 1997.

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

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

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  4. Qingfu Zhang and Yiu-Wing Leung. A class of learning algorithms for principal component analysis and minor component analysis. IEEE Transactions on Neural Networks, 11(1):200–204, Jan 2000.

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© 2000 Springer-Verlag Berlin Heidelberg

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Gou, Z., Fyfe, C. (2000). Generalised Canonical Correlation Analysis. In: Leung, K.S., Chan, LW., Meng, H. (eds) Intelligent Data Engineering and Automated Learning — IDEAL 2000. Data Mining, Financial Engineering, and Intelligent Agents. IDEAL 2000. Lecture Notes in Computer Science, vol 1983. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44491-2_25

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  • DOI: https://doi.org/10.1007/3-540-44491-2_25

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41450-6

  • Online ISBN: 978-3-540-44491-6

  • eBook Packages: Springer Book Archive

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