Principal Manifolds for Data Visualization and Dimension Reduction. Lecture Notes in Computational Science and Engineering, Volume 58.

by Alexander N. Gorban (Editor), Donald C. Wunsch II (Editor), Andrei Zinovyev (Editor)

The book starts with the quote of the classical Pearson definition of PCA and includes reviews of various methods: NLPCA, ICA, MDS, embedding and clustering algorithms, principal manifolds and SOM. New approaches to NLPCA, principal manifolds, branching principal components and topology preserving mappings are described. Presentation of algorithms is supplemented by case studies. The volume ends with a tutorial PCA deciphers genome.

361 pages, ebook

First published October 1, 2007