Self-Organizing Maps

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Springer Science & Business Media, Dec 6, 2012 - Science - 502 pages
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Since the second edition of this book came out in early 1997, the number of scientific papers published on the Self-Organizing Map (SOM) has increased from about 1500 to some 4000. Also, two special workshops dedicated to the SOM have been organized, not to mention numerous SOM sessions in neural network conferences. In view of this growing interest it was felt desirable to make extensive revisions to this book. They are of the following nature. Statistical pattern analysis has now been approached more carefully than earlier. A more detailed discussion of the eigenvectors and eigenvalues of symmetric matrices, which are the type usually encountered in statistics, has been included in Sect. 1.1.3: also, new probabilistic concepts, such as factor analysis, have been discussed in Sect. 1.3.1. A survey of projection methods (Sect. 1.3.2) has been added, in order to relate the SOM to classical paradigms. Vector Quantization is now discussed in one main section, and derivation of the point density of the codebook vectors using the calculus of variations has been added, in order to familiarize the reader with this otherwise com plicated statistical analysis. It was also felt that the discussion of the neural-modeling philosophy should include a broader perspective of the main issues. A historical review in Sect. 2.2, and the general philosophy in Sects. 2.3, 2.5 and 2.14 are now expected to especially help newcomers to orient themselves better amongst the profusion of contemporary neural models.
 

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Contents

Mathematical Preliminaries
1
Neural Modeling
71
The Basic SOM
105
in the Output Space
120
Physiological Interpretation of SOM
177
Variants of SOM
191
Learning Vector Quantization 245
244
Applications
263
by the Projection Method
292
Software Tools for SOM
311
Hardware for SOM
329
An Overview of SOM Literature 347
346
Glossary of Neural Terms
373
Index
487
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