Nonlinear Dimensionality Reduction

by John A. Lee

This book describes established and advanced methods for reducing the dimensionality of numerical databases. Each description starts from intuitive ideas, develops the necessary mathematical details, and ends by outlining the algorithmic implementation. The text provides a lucid summary of facts and concepts relating to well-known methods as well as recent developments in nonlinear dimensionality reduction. Methods are all described from a unifying point of view, which helps to highlight their respective strengths and shortcomings. The presentation will appeal to statisticians, computer scientists and data analysts, and other practitioners having a basic background in statistics or computational learning.

Genres: Mathematics

326 pages, Hardcover

First published January 1, 2007

About the author

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John A. Lee is a Postdoctoral Researcher of the Belgian National Fund for Scientific Research (FNRS). He is (co-)author of more than 30 publications in the field of machine learning and dimensionality reduction.