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Independent Component Analysis. Edition No. 1. Adaptive and Cognitive Dynamic Systems: Signal Processing, Learning, Communications and Control

  • ID: 2172719
  • Book
  • June 2001
  • 504 Pages
  • John Wiley and Sons Ltd
A comprehensive introduction to ICA for students and practitioners
Independent Component Analysis (ICA) is one of the most exciting new topics in fields such as neural networks, advanced statistics, and signal processing. This is the first book to provide a comprehensive introduction to this new technique complete with the fundamental mathematical background needed to understand and utilize it. It offers a general overview of the basics of ICA, important solutions and algorithms, and in-depth coverage of new applications in image processing, telecommunications, audio signal processing, and more.
Independent Component Analysis is divided into four sections that cover:
General mathematical concepts utilized in the book
The basic ICA model and its solution
Various extensions of the basic ICA model
Real-world applications for ICA models
Authors Hyvarinen, Karhunen, and Oja are well known for their contributions to the development of ICA and here cover all the relevant theory, new algorithms, and applications in various fields. Researchers, students, and practitioners from a variety of disciplines will find this accessible volume both helpful and informative.
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Preface.

Introduction.

MATHEMATICAL PRELIMINARIES.

Random Vectors and Independence.

Gradients and Optimization Methods.

Estimation Theory.

Information Theory.

Principal Component Analysis and Whitening.

BASIC INDEPENDENT COMPONENT ANALYSIS.

What is Independent Component Analysis?

ICA by Maximization of Nongaussianity.

ICA by Maximum Likelihood Estimation.

ICA by Minimization of Mutual Information.

ICA by Tensorial Methods.

ICA by Nonlinear Decorrelation and Nonlinear PCA.

Practical Considerations.

Overview and Comparison of Basic ICA Methods.

EXTENSIONS AND RELATED METHODS.

Noisy ICA.

ICA with Overcomplete Bases.

Nonlinear ICA.

Methods using Time Structure.

Convolutive Mixtures and Blind Deconvolution.

Other Extensions.

APPLICATIONS OF ICA.

Feature Extraction by ICA.

Brain Imaging Applications.

Telecommunications.

Other Applications.

References.

Index.
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Aapo Hyvärinen Neural Networks Research Center, Helsinki University of Technology, Finland. Juha Karhunen Neural Networks Research Center, Helsinki University of Technology, Finland. Erkki Oja Neural Networks Research Center, Helsinki University of Technology, Finland.
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