Computational Statistics & Data Analysis - Special issue dedicated to Toma´sˇ Havra´nek
Efficient Stepwise Selection in Decomposable Models
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Sparse graphical models for exploring gene expression data
Journal of Multivariate Analysis
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Given a decomposable graph, we characterize and enumerate the set of pairs of vertices whose connection or disconnection results in a new graph that is also decomposable. We discuss the relevance of these results to Markov chain Monte Carlo methods that sample or optimize over the space of decomposable graphical models according to probabilities determined by a posterior distribution given observed multivariate data.