The Cauchy-Schwarz divergence for poisson point processes

Hoang, Hung Gia; Vo, Ba-Ngu; Vo, Ba Tuong; Mahler, R.

doi:10.1109/SSP.2014.6884620

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Authors

Hoang, Hung Gia

Vo, Ba-Ngu

Vo, Ba Tuong

Mahler, R.

Date

2014

Type

Conference Paper

Metadata

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Citation

Hoang, H.G. and Vo, B. and Vo, B.T. and Mahler, R. 2014. The Cauchy-Schwarz divergence for poisson point processes, pp. 240-243: IEEE Computer Society.

Source Title

IEEE Workshop on Statistical Signal Processing Proceedings

DOI

10.1109/SSP.2014.6884620

ISBN

9781479949755

School

Department of Electrical and Computer Engineering

URI

http://hdl.handle.net/20.500.11937/14417

Collection

Curtin Research Publications

Abstract

Information theoretic divergences are fundamental tools used to measure the difference between the information conveyed by two random processes. In this paper, we show that the Cauchy-Schwarz divergence between two Poisson point processes is the half the squared L2-distance between their respective intensity functions. Moreover, this can be evaluated in closed form when the intensities are Gaussian mixtures. © 2014 IEEE.