Advances in Neuro-Information Processing

Volume 5507 of the series Lecture Notes in Computer Science pp 935-942

Bregman Divergences and Multi-dimensional Scaling

  • Pei Ling LaiAffiliated withSouthern Taiwan University
  • , Colin FyfeAffiliated withUniversity of the West of Scotland

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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 to multidimensional scaling (MDS) and show the effect of different Bregman divergences. In particular we derive a mapping similar to the Sammon mapping. We apply these methods to face identification.