Bregman Divergences and Multi-dimensional Scaling

Authors:
Pei Ling Lai;Colin Fyfe
Affiliations:
Southern Taiwan University, Tainan, Taiwan;University of the West of Scotland, UK
Venue:
Advances in Neuro-Information Processing
Year:
2009

Citing 0
Cited 1

Neighbor embedding XOM for dimension reduction and visualization

Neurocomputing

Quantified Score

Hi-index	0.00

Visualization

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 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.