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Motivace různých charakterizací ekvivalentních persegramů
Kratochvíl, Václav
In this paper we give the motivation and introduction for indirect characterization of equivalence. We have found three operations on persegram remaining induced independence model. By combining them together, one can generate a class of equivalent models. We are not sure whether one can generate the whole class. This problem is closely connected with the above mentioned problem of invariant properties.
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Aplikace bayesovských sítích ve hře Minesweepe
Vomlelová, M. ; Vomlel, Jiří
We use the computer game of Minesweeper to illustrate few modeling tricks utilized when applying Bayesian network (BN) models in real applications. Among others, we apply rank-one decomposition (ROD) toconditional probability tables (CPTs) representing addition. Typically, this transformation helps to reduce the computational complexity of probabilistic inference with the BN model. However, in this paper we will see that (except for the total sum node) when ROD is applied to the whole CPT it does not bring any savings for the BN model of Minesweeper. Actually, in order to gain from ROD we need minimal rank-one decompositions of CPTs when the state of the dependent variable is observed. But this is not known and it is a topic for our future research.
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Podmiňování domnění v DSmT
Daniel, Milan
Basic notions from both Dempster-Shafer theory and DSmT (Dezert-Smarandache theory) are briefly reminded, followed by a recapitulation of the existing results on DSm conditioning. Analogically to the analysis of belief conditioning in the classical case, the existing DSm belief conditioning rules (BCRs) are analysed and the new generalized plain BCR is defined, a general formula for DSm BCRs is presented, and the general DSm BCR is defined. Further, the negative conditioning in the lattice based DSm approach is introduced, the negative plain and negative Dempster's BCRs are defined and first results of these new rules are presented. Finally a wide area of open problems of negative DSm belief conditioning and its relation to positive conditioning is sketched.
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