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An expectation-maximization approach to nonlinear component analysis

Rosipal, R; Girolami, M; (2001) An expectation-maximization approach to nonlinear component analysis. NEURAL COMPUT , 13 (3) 505 - 510.

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Abstract

The proposal of considering nonlinear principal component analysis as a kernel eigenvalue problem has provided an extremely powerful method of extracting nonlinear features for a number of classification and regression applications. Whereas the utilization of Mercer kernels makes the problem of computing principal components in, possibly, infinite-demensional feature spaces tractable, there are still the attendant numerical problems of diagonalizing large matrices. In this contribution, we propose an expectation-maximization approach for performing kernel principal component analysis and show this to be a computationally efficient method, especially when the number of data points is large.

Type: Article
Title: An expectation-maximization approach to nonlinear component analysis
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Statistical Science
URI: http://discovery.ucl.ac.uk/id/eprint/1339714
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