0391079 20240103202414.620130320235959.9 000317379600002 84875754942 10.1016/j.ijar.2013.01.002 12 s. P cav_un_epca*02567740888-613X545 (2013)590-601Elsevier Probabilistic model Compositional model Independence Equivalence cav_un_auth*0216188 Kratochvíl Václav Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/MTR/kratochvil-0391079.pdf GA13-20012S GA ČR cav_un_auth*0292670 Probabilistic compositional models, similarly to graphical Markov models, are able to represent multidimensional probability distributions using factorization and closely related concept of conditional independence. Compositional models represent an algebraic alternative to the graphical models. The system of related conditional independencies is not encoded explicitly (e.g. using a graph) but it is hidden in a model structure itself. This paper provides answers to the question how to recognize whether two different compositional model structures are equivalent - i.e. whether they induce the same system of conditional independencies. Above that, it provides an easy way to convert one structure into an equivalent one in terms of some elementary operations on structures, closely related ability to generate all structures equivalent with a given one, and a unique representative of a class of equivalent structures. 2014 BA 1 4 A 4a 20231122135552.2 RVO:67985556 http://hdl.handle.net/11104/0219989 COMPUTERSCIENCEARTIFICIALINTELLIGENCE 2.072 0.489 5.VIII 0.00519 0.656 1912 90 1.145 Q1 64.744 76.446 Q2 Q2 2013 Soubory v repozitáři: kratochvil-0391079.pdf 84875754942 SCOPUS 000317379600002 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 54 č. 5 2013 590 601 Elsevier