Nonlinear Dimensionality Reduction

Name: Nonlinear Dimensionality Reduction
Brand: Springer-Verlag New York Inc.
SKU: 9780387393506
Price: 773.92 RON
Availability: InStock

Autor: J. A. Lee, M. Verleysen

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Legare: Copertă tare

Editura: Springer-Verlag New York Inc.

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Methods of dimensionality reduction provide a way to understand and visualize the structure of compl...

Informații despre carte

Autor

J. A. Lee, M. Verleysen

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2007

Pagini

309

EAN

9780387393506

ISBN

0387393501

Enbook ID

01382100

Editura

Springer-Verlag New York Inc.

Greutate

658

Dimensiuni

159 x 241 x 24

Descriere completă

Methods of dimensionality reduction provide a way to understand and visualize the structure of complex data sets. Traditional methods like principal component analysis and classical metric multidimensional scaling suffer from being based on linear models. Until recently, very few methods were able to reduce the data dimensionality in a nonlinear way. However, since the late nineties, many new methods have been developed and nonlinear dimensionality reduction, also called manifold learning, has become a hot topic. New advances that account for this rapid growth are, e.g. the use of graphs to represent the manifold topology, and the use of new metrics like the geodesic distance. In addition, new optimization schemes, based on kernel techniques and spectral decomposition, have lead to spectral embedding, which encompasses many of the recently developed methods.This book describes existing and advanced methods to reduce the dimensionality of numerical databases. For each method, the description starts from intuitive ideas, develops the necessary mathematical details, and ends by outlining the algorithmic implementation. Methods are compared with each other with the help of different illustrative examples.§The purpose of the book is to summarize clear facts and ideas about well-known methods as well as recent developments in the topic of nonlinear dimensionality reduction. With this goal in mind, methods are all described from a unifying point of view, in order to highlight their respective strengths and shortcomings. The book is primarily intended for statisticians, computer scientists and data analysts. It is also accessible to other practitioners having a basic background in statistics and/or computational learning, like psychologists (in psychometry) and economists.

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