Fuzzy classification by fuzzy labeled neural gas

Authors:
Th. Villmann;B. Hammer;F. Schleif;T. Geweniger;W. Herrmann
Affiliations:
University Leipzig, Clinic for Psychotherapy, Leipzig, Germany;Clausthal University of Technology, Department of Mathematics and Computer Science, Germany;Bruker Daltonik GmbH Leipzig and University Leipzig, Department of Computer Science, Germany;University of Applied Science Mittweida, Germany;Paracelsus-Hospital Zwickau, Germany
Venue:
Neural Networks - 2006 Special issue: Advances in self-organizing maps--WSOM'05
Year:
2006

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Abstract

We extend the neural gas for supervised fuzzy classification. In this way we are able to learn crisp as well as fuzzy clustering, given labeled data. Based on the neural gas cost function, we propose three different ways to incorporate the additional class information into the learning algorithm. We demonstrate the effect on the location of the prototypes and the classification accuracy. Further, we show that relevance learning can be easily included.