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EM Algorithms for PCA and SPCA

by: Sam Roweis

edited by: Michael I Jordan, Michael J Kearns, Sara A Solla

Vol. 10 (1998)


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I present an expectation-maximization (EM) algorithm for principal component analysis (PCA). The algorithm allows a few eigenvectors and eigenvalues to be extracted from large collections of high dimensional data. It is computationally very efficient in space and time. It also naturally accommodates missing information. I also introduce a new variant of PCA called sensible principal component analysis (SPCA) which defines a proper density model in the data space. Learning for SPCA is also done...


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