0359927 20240103195223.320110601235959.9 000290426100004 79954426634 10.1016/j.ijar.2010.12.005 15 s. cav_un_epca*02567740888-613X525 (2011)599-612Elsevier Equivalence problem Compositional model Persegram Characteristic properties 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/2011/MTR/kratochvil-0359927.pdf 1M0572 GA MŠk cav_un_auth*0001814 GA201/09/1891 GA ČR cav_un_auth*0253175 2C06019 GA MŠk CZ cav_un_auth*0216518 GEICC/08/E010 GA ČR cav_un_auth*0241637 CEZ:AV0Z10750506 Compositional model theory serves as an alternative to Bayesian networks. Every compositional model over a finite non-empty set of variables N is uniquely defined by its generating sequence – an ordered set of low-dimensional probability distributions. A generating sequence structure induces a system of conditional independence statements over N valid for every multidimensional distribution represented by a compositional model with this structure. The equivalence problem is how to characterise whether all independence statements induced by structure P are induced by a second structure P and vice versa. This problem can be solved in several ways. A partial solution of the so-called direct characterisation of an equivalence problem is represented here. We deduce and describe three properties of equivalent structures necessary for equivalence of the respective structures. We call them characteristic properties of classes of equivalent structures. 2012 BA 4 A 4a 20231122134549.9 http://hdl.handle.net/11104/0197607 COMPUTERSCIENCEARTIFICIALINTELLIGENCE 2.155 0.293 4.7 0.00594 0.759 1638 92 1.703 Q1 70.492 76.126 Q2 Q1* 2011 Soubory v repozitáři: kratochvil-0359927.pdf 79954426634 SCOPUS 000290426100004 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 52 č. 5 2011 599 612 Elsevier