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Constructing descriptive and discriminative nonlinear features: Rayleigh coefficients in kernel feature spaces

by: S. Mika, G. Ratsch, J. Weston, B. Scholkopf, A. Smola, K. R. Muller
Pattern Analysis and Machine Intelligence, IEEE Transactions on In Pattern Analysis and Machine Intelligence, IEEE Transactions on, Vol. 25, No. 5. (2003), pp. 623-628, doi:10.1109/tpami.2003.1195996  Key: citeulike:4732503

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Abstract

We incorporate prior knowledge to construct nonlinear algorithms for invariant feature extraction and discrimination. Employing a unified framework in terms of a nonlinearized variant of the Rayleigh coefficient, we propose nonlinear generalizations of Fisher's discriminant and oriented PCA using support vector kernel functions. Extensive simulations show the utility of our approach.


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