0353102 20240103194511.020110104235959.9 6 s. cav_un_epca*035071549-54OtaruUniversity Hall2010ItohTakeshi SuzukiKenichi compositional model bayesian network equivalence problem 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/2010/MTR/kratochvil-relationship between properties characterizing independence equivalence in bayesian networks and compositional models.pdf 1M0572 GA MŠk cav_un_auth*0001814 ICC/08/E010 Eurocores LogICCC GA ČR XE cav_un_auth*0255499 2C06019 GA MŠk CZ cav_un_auth*0216518 GA201/09/1891 GA ČR cav_un_auth*0253175 CEZ:AV0Z10750506 We present a simple characterizations of equivalent compositional model structures based on (A) invariant properties and (B) local transformations. It has been shown that one can transform any compositional model into Bayesian network representing the same joint probability distribution and vice versa. Moreover, every assertion of independence induced by a Bayesian network structure is also induced by the structure of the respective compositional model that is created from the Bayesian network and vice versa. That is why wa can simply compare characterization of equivalent compositional model structures together with the known characteristics of equivalent Bayesian network structures. We show which (A) invariant properties and (B)local transformations correspond each other. In opposite case we show what is its (invariant property, transformation) meaning in the other model structure. cav_un_auth*0266375 Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /13./ Otaru 03.11.2010-05.11.2010 JP 2011 IN http://hdl.handle.net/11104/0192441 2010 cav_un_epca*0350715 Proceedings of the 13th Czech-Japan Seminar on Data Analysis and Decision Making in Service Science 49 54 Otaru University Hall 2010 Itoh Takeshi 340 Suzuki Kenichi 340