Frontiers of Mathematics in China >
Decomposition of two classes of structural model
Received date: 15 Apr 2011
Accepted date: 13 Dec 2012
Published date: 01 Dec 2013
Copyright
The conditional independence structure of a common probability measure is a structural model. In this paper, we solve an open problem posed by Studený [Probabilistic Conditional Independence Structures, Theme 9, p. 206]. A new approach is proposed to decompose a directed acyclic graph and its optimal properties are studied. We interpret this approach from the perspective of the decomposition of the corresponding conditional independence model and provide an algorithm for identifying the maximal prime subgraphs in a directed acyclic graph.
Benchong LI , Jianhua GUO . Decomposition of two classes of structural model[J]. Frontiers of Mathematics in China, 2013 , 8(6) : 1323 -1349 . DOI: 10.1007/s11464-013-0289-7
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