The centroid of the symmetrical Kullback-Leibler distance

This paper discusses the computation of the centroid induced by the symmetrical Kullback-Leibler distance. It is shown that it is the unique zeroing argument of a function which only depends on the arithmetic and the normalized geometric mean of the cluster. An efficient algorithm for its computatio...

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Bibliographic Details
Published in:IEEE signal processing letters 2002-03, Vol.9 (3), p.96-99
Main Author: Veldhuis, R.
Format: Article
Language:English
Subjects:
Algorithms
Arithmetic
Centroids
Clustering algorithms
Clusters
Computation
Counting circuits
Entropy
Information theory
Mathematical analysis
Probability distribution
Shape
Spectra
Speech
Speech synthesis
Vector quantization
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Summary:This paper discusses the computation of the centroid induced by the symmetrical Kullback-Leibler distance. It is shown that it is the unique zeroing argument of a function which only depends on the arithmetic and the normalized geometric mean of the cluster. An efficient algorithm for its computation is presented. Speech spectra are used as an example.
ISSN:1070-9908
1558-2361
DOI:10.1109/97.995827