Support sets of distributions with given interaction structure

Thomas Kahle and Nihat Ay

Contact the author: Please use for correspondence this email.
Submission date: 05. Sep. 2006
Pages: 11
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
Bibtex
Keywords and phrases: closure of exponential family, hierarchical model, interaction order, graphical model, support sets
Download full preprint: PDF (165 kB)

Abstract:
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.