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Bayesian estimation of multi-object systems with independently identically distributed correlations
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Houssineau, Jeremie and Clark, Daniel E. (2014) Bayesian estimation of multi-object systems with independently identically distributed correlations. In: 2014 IEEE Workshop on Statistical Signal Processing (SSP), Gold Coast, VIC, Australia, 29 Jun - 2 Jul 2014 pp. 228-231. ISBN 9781479949755. doi:10.1109/SSP.2014.6884617 ISSN 2373-0803.
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Official URL: http://dx.doi.org/10.1109/SSP.2014.6884617
Abstract
Recent generalisations of stochastic filtering methods to multi-object systems have become very popular for solving multi-target tracking problems over the last decade. However, there was previously no general means of introducing correlations between objects. In this article, we investigate generalisations of such multi-object filters for systems where there may be dependencies between objects. Determining probability and factorial moment densities is facilitated by the use of a recent result in variational calculus, a general form of Faà di Bruno's formula. The result is illustrated through the Probability Hypothesis Density (PHD) filter, as a first-order moment example of the general form.
Item Type: | Conference Item (Paper) | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Publisher: | IEEE | ||||
ISBN: | 9781479949755 | ||||
ISSN: | 2373-0803 | ||||
Book Title: | 2014 IEEE Workshop on Statistical Signal Processing (SSP) | ||||
Official Date: | 2014 | ||||
Dates: |
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Page Range: | pp. 228-231 | ||||
DOI: | 10.1109/SSP.2014.6884617 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 2014 IEEE Workshop on Statistical Signal Processing (SSP) | ||||
Type of Event: | Workshop | ||||
Location of Event: | Gold Coast, VIC, Australia | ||||
Date(s) of Event: | 29 Jun - 2 Jul 2014 |
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