Conditioning and Flexibility in Compositional Models

0364532 - ÚTIA 2012 RIV CZ eng C - Conference Paper (international conference)
Kratochvíl, Václav
Conditioning and Flexibility in Compositional Models.
Proceedings of 14th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2011. Praha: Matfyzpress, 2011 - (Barták, R.), s. 66-73. ISBN 978-80-7378-179-8.
[Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /14./. Hejnice (CZ), 18.09.2011-21.09.2011]
R&D Projects: GA MŠMT 1M0572; GA ČR GEICC/08/E010; GA ČR GA201/09/1891
Grant - others:GA MŠk(CZ) 2C06019
Institutional research plan: CEZ:AV0Z10750506
Keywords : compositional models * conditioning * flexibility
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2011/MTR/kratochvil-conditioning and flexibility in compositional models.pdf

Reasoning by cases or assumptions is a common form of human reasoning. In case of probability reasoning, this is modeled by conditioning of a multidimensional probability distribution. Compositional models are defined as a multidimensional distributions assembled from a (so called generating) sequence of lowdimensional probability distributions, with the help of operators of composition. In this case, the conditioning process can be viewed as a transformation of one generating sequence into another one. It appears that the conditioning process is simple when conditioning variable appears in the argument of the first distribution of the corresponding generating sequence. That is why we introduce the so called flexible sequences. Flexible sequences are those, which can be reordered in many ways that each variable can appears among arguments of the first distribution. In this paper, we study the problem of flexibility in light of the very recent solution of the equivalence problem.
Permanent Link: http://hdl.handle.net/11104/0199998