526 citations · 1.1k across the 19 of their papers we have counts for
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Magnification Control in Self-Organizing Maps and Neural Gas
Thomas Villmann, Jens Christian Claussen
We consider different ways to control the magnification in self-organizing maps (SOM) and neural gas (NG). Starting from early approaches of magnification control in vector quantiz…
Magnification Control in Winner Relaxing Neural Gas
Jens Christian Claussen, Thomas Villmann
An important goal in neural map learning, which can conveniently be accomplished by magnification control, is to achieve information optimal coding in the sense of information theo…
Investigation of topographical stability of the concave and convex Self-Organizing Map variant
Fabien Molle, Jens Christian Claussen
We investigate, by a systematic numerical study, the parameter dependence of the stability of the Kohonen Self-Organizing Map and the Zheng and Greenleaf concave and convex learnin…
Processing of information in synchroneously firing chains in networks of neurons
Jens Christian Claussen
The Abeles model of cortical activity assumes that in absence of stimulation neural activity in zero order can be described by a Poisson process. Here the model is extended to desc…
Winner-Relaxing Self-Organizing Maps
Jens Christian Claussen
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…