About: A reconstruction algorithm for the essential graph

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A standard graphical representative of a Bayesian network structure is a special chain graphs, known as an essential graph. An alternative algebraic approach to the mathematical description of this statistical model uses instead a certain integer-valued vector, known as a standard imset. We give a direct formula for the translation of any chain graph describing a Bayesian network structure into the standard imset. Moreover, we present a two-stage algorithm which makes it possible to reconstruct the essential graph on the basis of the standard imset. The core of the paper is the proof of correctness of the algorithm. A standard graphical representative of a Bayesian network structure is a special chain graphs, known as an essential graph. An alternative algebraic approach to the mathematical description of this statistical model uses instead a certain integer-valued vector, known as a standard imset. We give a direct formula for the translation of any chain graph describing a Bayesian network structure into the standard imset. Moreover, we present a two-stage algorithm which makes it possible to reconstruct the essential graph on the basis of the standard imset. The core of the paper is the proof of correctness of the algorithm. (en)
Title	A reconstruction algorithm for the essential graph A reconstruction algorithm for the essential graph (en)
skos:prefLabel	A reconstruction algorithm for the essential graph A reconstruction algorithm for the essential graph (en)
skos:notation	RIV/67985556:_____/09:00322545!RIV14-MSM-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0572), P(GA201/04/0393), P(GA201/08/0539), P(IAA100750603), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Vomlel, Jiří Studený, Milan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	301529
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/09:00322545
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Bayesian network structure; chain graph; essential graph; standard imset (en)
http://linked.open.../riv/klicoveSlovo	standard imset essential graph chain graph Bayesian network structure
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[F406C5B52817]
http://linked.open...i/riv/nazevZdroje	International Journal of Approximate Reasoning
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Conditional independence structures: graphical and algebraic approaches Data, algorithms, decision making Information geomerty of multidimensional models in statistics and artificial intelligence. Conditional independence structures: information-theoretical approach III.
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Studený, Milan Vomlel, Jiří
http://linked.open...ain/vavai/riv/wos	000264359500016
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0888-613X
number of pages	28 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ijar.2008.09.001

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