Approximation of Powers of Gaussian Mixtures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43925655" target="_blank" >RIV/49777513:23520/15:43925655 - isvavai.cz</a>
Result on the web
<a href="http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7266652" target="_blank" >http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7266652</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Approximation of Powers of Gaussian Mixtures
Original language description
Gaussian mixtures are used to approximate general probability density functions. In fusion problems, the weighted geometric mean of densities exploits density powers. Since the operation of exponentiation of Gaussian mixtures is not closed, the problem of approximating the mixture powers arises. This paper proposes and inspects several such approximations. The first is based on a limit case, the second is based on an optimisation, the third is given by a numerical solution to the optimisation problem and the last one is given by the exact power of an approximation of the Gaussian mixture. The numerical examples compare component weights and the means and covariance matrices.
Czech name
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Czech description
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Project
<a href="/en/project/GC13-07058J" target="_blank" >GC13-07058J: Consistent Fusion in Networked Estimation Systems</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 18th International Conference on Information Fusion
ISBN
978-0-9824438-6-6
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
878-885
Publisher name
IEEE
Place of publication
Washington
Event location
Washington, USA
Event date
Jul 6, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000389523300115

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