Bregman Divergences and the Self Organising Map

Authors:
Eunsong Jang;Colin Fyfe;Hanseok Ko
Affiliations:
Intelligent Signal Processing Lab, Korea University, Korea;School of Computing, University of the West of Scotland, UK;Intelligent Signal Processing Lab, Korea University, Korea
Venue:
IDEAL '08 Proceedings of the 9th International Conference on Intelligent Data Engineering and Automated Learning
Year:
2008

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Abstract

We discuss Bregman divergences and the very close relationship between a class of these divergences and the regular family of exponential distributions before applying them to various topology preserving dimension reducing algorithms. We apply these methods to identification of structure in magnetic resonance images of the brain and show that different divergences reveal different structure in these images.