Geodesic
Bayesian estimation of mixtures with dynamic transitions and known component parameters
Kybernetika, Tome 47 (2011) no. 4, pp. 572-594.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Probabilistic mixtures provide flexible “universal” approximation of probability density functions. Their wide use is enabled by the availability of a range of efficient estimation algorithms. Among them, quasi-Bayesian estimation plays a prominent role as it runs “naturally” in one-pass mode. This is important in on-line applications and/or extensive databases. It even copes with dynamic nature of components forming the mixture. However, the quasi-Bayesian estimation relies on mixing via constant component weights. Thus, mixtures with dynamic components and dynamic transitions between them are not supported. The present paper fills this gap. For the sake of simplicity and to give a better insight into the task, the paper considers mixtures with known components. A general case with unknown components will be presented soon.
Classification : 68T05, 93E12
Keywords: mixture model; Bayesian estimation; approximation; clustering; classification 
@article{KYB_2011__47_4_a5,
     author = {Nagy, Ivan and Suzdaleva, Evgenia and K\'arn\'y, Miroslav},
     title = {Bayesian estimation of mixtures with dynamic transitions and known component parameters},
     journal = {Kybernetika},
     pages = {572--594},
     publisher = {mathdoc},
     volume = {47},
     number = {4},
     year = {2011},
     mrnumber = {2884862},
     zbl = {1227.93114},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2011__47_4_a5/}
}
TY  - JOUR
AU  - Nagy, Ivan
AU  - Suzdaleva, Evgenia
AU  - Kárný, Miroslav
TI  - Bayesian estimation of mixtures with dynamic transitions and known component parameters
JO  - Kybernetika
PY  - 2011
SP  - 572
EP  - 594
VL  - 47
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2011__47_4_a5/
LA  - en
ID  - KYB_2011__47_4_a5
ER  - 
%0 Journal Article
%A Nagy, Ivan
%A Suzdaleva, Evgenia
%A Kárný, Miroslav
%T Bayesian estimation of mixtures with dynamic transitions and known component parameters
%J Kybernetika
%D 2011
%P 572-594
%V 47
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2011__47_4_a5/
%G en
%F KYB_2011__47_4_a5
Nagy, Ivan; Suzdaleva, Evgenia; Kárný, Miroslav. Bayesian estimation of mixtures with dynamic transitions and known component parameters. Kybernetika, Tome 47 (2011) no. 4, pp. 572-594. http://geodesic.mathdoc.fr/item/KYB_2011__47_4_a5/