Characteristic imset: a simple algebraic representative of a Bayesian network structure

0347486 20240103193901.920101004235959.9 Characteristic imset: a simple algebraic representative of a Bayesian network structure 8 s. cav_un_epca*0347485978-952-60-3314-31458-946XProceedings of the 5th European Workshop on Probabilistic Graphical Models (PGM 2010)257-264HelsinkiHIIT Publications2010MyllymakiPetriRoosTeemuJaakkolaTommi characteristic imset Bayesian network strucutre essential graph cav_un_auth*0101202 Studený Milan 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. cav_un_auth*0261765 Hemmecke R. DE cav_un_auth*0268009 Lindner S. DE http://library.utia.cas.cz/separaty/2010/MTR/studeny-characteristic imset a simple algebraic representative of a bayesian network structure.pdf 1M0572 GA MŠk CZ cav_un_auth*0001814 GA201/08/0539 GA ČR cav_un_auth*0239648 CEZ:AV0Z10750506 Basic idea of algebraic and geometric approach to learning Bayesian nets is recalled. A simpler algebraic representative, called the characteristic imset, is proposed. It is a 0-1 vector, obtained from the former representative, standard imset, by an affine trensformation. It is closer to graphical decription. The relation to the essential graph is established. cav_un_auth*0264296 5th European Workshop on Probabilistic Graphical Models Helsinki 13.09.2010-15.09.2010 FI 2011 BA http://hdl.handle.net/11104/0188258 2010 cav_un_epca*0347485 Proceedings of the 5th European Workshop on Probabilistic Graphical Models (PGM 2010) 978-952-60-3314-3 1458-946X 257 264 Helsinki HIIT Publications 2010 Myllymaki Petri 340 Roos Teemu 340 Jaakkola Tommi 340