Support sets of distributions with given interaction structure
Thomas Kahle and Nihat Ay
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Submission date: 05. Sep. 2006
published in: 7th Workshop on Uncertainty Processing : WUPES'06 ; Mikulov, Czech Republik ; 16-20th September 2006
Praha : Academy of Sciences of the Czech Republik / Institute of Information Theory and Automation, 2006. - P. 52 - 61
Keywords and phrases: closure of exponential family, hierarchical model, interaction order, graphical model, support sets
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We study closures of hierarchical models which are exponential families associated with hypergraphs by decomposing the corresponding interaction spaces in a natural and transparent way. Here, we apply general results on closures of exponential families.