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Winner-Relaxing Self-Organizing Maps | Jens Christian Claussen
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21 Aug 2002 | Subject: | Disordered Systems and Neural Networks; Adaptation and Self-Organizing Systems; Neural and Evolutionary Computing; Neurons and Cognition | cond-mat.dis-nn cs.NE nlin.AO q-bio.NC | Affiliation: | Theoretical Physics, University Kiel | Abstract: | A new family of self-organizing maps, the Winner-Relaxing Kohonen Algorithm, is introduced as a generalization of a variant given by Kohonen in 1991. The magnification behaviour is calculated analytically. For the original variant a magnification exponent of 4/7 is derived; the generalized version allows to steer the magnification in the wide range from exponent 1/2 to 1 in the one-dimensional case, thus provides optimal mapping in the sense of information theory. The Winner Relaxing Algorithm requires minimal extra computations per learning step and is conveniently easy to implement. | Source: | arXiv, cond-mat/0208414 | Services: | Forum | Review | PDF | Favorites |
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