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Jensen-Shannon divergence and Hilbert space embedding

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2 Author(s)
Fuglede, B. ; Dept. of Math., Copenhagen Univ., Denmark ; Topsoe, F.

This paper describes the Jensen-Shannon divergence (JSD) and Hilbert space embedding. With natural definitions making these considerations precise, one finds that the general Jensen-Shannon divergence related to the mixture is the minimum redundancy, which can be achieved by the observer. The set of distributions with the metric √JSD can even be embedded isometrically into Hilbert space and the embedding can be identified.

Published in:

Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on

Date of Conference:

27 June-2 July 2004