Geodesic
A posteriori probabilistic estimates in algebraic Bayesian networks
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2012), pp. 51-59

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The paper presents an algorithm for evidence propagation in algebraic Bayesian networks in order to calculate a posteriori probabilistic estimates of network elements. The implicit assumptions that guarantee the correctness of the a posteriori inference algorithm results are discovered and considered.
Keywords: algebraical Bayesian network, knowledge uncertainty, knowledge pattern, a posteriori inference
Mots-clés : evidence propagation. 
@article{VSPUI_2012_2_a5,
     author = {A. L. Tulupyev},
     title = {A posteriori probabilistic estimates in algebraic {Bayesian} networks},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {51--59},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2012_2_a5/}
}
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A. L. Tulupyev. A posteriori probabilistic estimates in algebraic Bayesian networks. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2012), pp. 51-59. http://geodesic.mathdoc.fr/item/VSPUI_2012_2_a5/