Principal Manifolds for Data Visualization and Dimension Reduction 2008 Edition Contributor(s): Gorban, Alexander N. (Editor), Kégl, Balázs (Editor), Wunsch, Donald C. (Editor) |
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ISBN: 3540737499 ISBN-13: 9783540737490 Publisher: Springer OUR PRICE: $237.49 Product Type: Paperback - Other Formats Published: October 2007 |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Applied |
Dewey: 001.422 |
LCCN: 2007932175 |
Series: Lecture Notes in Computational Science and Engineering |
Physical Information: 0.5" H x 6.1" W x 9.2" (1.14 lbs) 340 pages |
Descriptions, Reviews, Etc. |
Publisher Description: In 1901, Karl Pearson invented Principal Component Analysis (PCA). Since then, PCA serves as a prototype for many other tools of data analysis, visualization and dimension reduction: Independent Component Analysis (ICA), Multidimensional Scaling (MDS), Nonlinear PCA (NLPCA), Self Organizing Maps (SOM), etc. 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 as well. Presentation of algorithms is supplemented by case studies, from engineering to astronomy, but mostly of biological data: analysis of microarray and metabolite data. The volume ends with a tutorial "PCA and K-means decipher genome". The book is meant to be useful for practitioners in applied data analysis in life sciences, engineering, physics and chemistry; it will also be valuable to PhD students and researchers in computer sciences, applied mathematics and statistics. |