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Smoothly distributed fuzzy c-means: a new self-organizing map

✍ Scribed by R.D. Pascual-Marqui; A.D. Pascual-Montano; K. Kochi; J.M. Carazo

Book ID: 104161431
Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 348 KB
Volume: 34
Category: Article
ISSN: 0031-3203
DOI: 10.1016/s0031-3203(00)00167-9

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✦ Synopsis

This paper presents a new self-organizing map algorithm. Unlike the well-known method of Kohonen, the new algorithm corresponds to the optimization of an unambiguously de"ned cost function. It consists of a modi"ed version of the widely used fuzzy c-means functional, where the code vectors are distributed on a regular low-dimensional grid, and a penalization term is added in order to guarantee a smooth distribution for the values of the code vectors on the grid. The mapping properties of the new method, similar to those of Kohonen's algorithm, are illustrated with several data sets. Computer programs (source code and executables) and data are available upon request to the authors.

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