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.

Preface
1 Introduction. 1
2 Random Vectors and Independence. 15
3 Gradients and Optimization Methods. 57
4 Estimation Theory. 77
5 Information Theory. 105
6 Principal Component Analysis and Whitening. 125
7 What is Independent Component Analysis?. 147
8 ICA by Maximization of Nongaussianity. 165
9 ICA by Maximum Likelihood Estimation. 203
10 ICA by Minimization of Mutual Information. 221
11 ICA by Tensorial Methods. 229
12 ICA by Nonlinear Decorrelation and Nonlinear PCA. 239
13 Practical Considerations. 263
14 Overview and Comparison of Basic ICA Methods. 273
15 Noisy ICA. 293
16 ICA with Overcomplete Bases. 305
17 Nonlinear ICA. 315
18 Methods using Time Structure. 341
19 Convolutive Mixtures and Blind Deconvolution. 355
20 Other Extensions. 371
21 Feature Extraction by ICA. 391
22 Brain Imaging Applications. 407
23 Telecommunications. 417
24 Other Applications. 441
References. 449
Index. 476