The Cauchy-Schwarz divergence for poisson point processes
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...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
IEEE Computer Society
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/14417 |
| _version_ | 1848748617542664192 |
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| author | Hoang, Hung Gia Vo, Ba-Ngu Vo, Ba Tuong Mahler, R. |
| author_facet | Hoang, Hung Gia Vo, Ba-Ngu Vo, Ba Tuong Mahler, R. |
| author_sort | Hoang, Hung Gia |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T07:07:53Z |
| format | Conference Paper |
| id | curtin-20.500.11937-14417 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:07:53Z |
| publishDate | 2014 |
| publisher | IEEE Computer Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-144172018-03-29T09:06:10Z The Cauchy-Schwarz divergence for poisson point processes Hoang, Hung Gia Vo, Ba-Ngu Vo, Ba Tuong Mahler, R. 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. 2014 Conference Paper http://hdl.handle.net/20.500.11937/14417 10.1109/SSP.2014.6884620 IEEE Computer Society restricted |
| spellingShingle | Hoang, Hung Gia Vo, Ba-Ngu Vo, Ba Tuong Mahler, R. The Cauchy-Schwarz divergence for poisson point processes |
| title | The Cauchy-Schwarz divergence for poisson point processes |
| title_full | The Cauchy-Schwarz divergence for poisson point processes |
| title_fullStr | The Cauchy-Schwarz divergence for poisson point processes |
| title_full_unstemmed | The Cauchy-Schwarz divergence for poisson point processes |
| title_short | The Cauchy-Schwarz divergence for poisson point processes |
| title_sort | cauchy-schwarz divergence for poisson point processes |
| url | http://hdl.handle.net/20.500.11937/14417 |