0331175 20240111140727.720091102235959.9 10 s. WWW cav_un_epca*0330353153-162OstravaUniversitatis Ostraviensis2009NovákV.PavliskaV.ŠtěpničkaM. Bayesian network probabilistic inference tensor rank-one decomposition cav_un_auth*0209129 Vomlelová M. CZ cav_un_auth*0101228 Vomlel Jiří UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. PDF http://library.utia.cas.cz/separaty/2009/MTR/vomlel-applying bayesian networks in the game of minesweeper.pdf 2C06019 GA MŠk CZ cav_un_auth*0216518 1M0572 GA MŠk cav_un_auth*0001814 GA201/09/1891 GA ČR cav_un_auth*0253175 ICC/08/E010 Eurocores LogICCC GA ČR XE cav_un_auth*0255499 CEZ:AV0Z10750506 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. Na počítačové hře Minesweeper ilustrujeme různé techniky používané při využití bayesovských sítí v reálných aplikacích. Mezi jinými používáme metodu rozkladu na tensory ranku jedna pro rozklad pravděpodobnostních tabulek reprezentujících sčítání. cav_un_auth*0254980 Czech-Japan Seminar on Data Analysis and Decision-Making under Uncertainty /12./ Litomyšl 24.09.2009-27.09.2009 CZ 2010 BD http://hdl.handle.net/11104/0176770 2009 PDF cav_un_epca*0330353 Proceedings of Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty 153 162 Ostrava Universitatis Ostraviensis 2009 Novák V. 340 Pavliska V. 340 Štěpnička M. 340