  Given overlapping subsets of a set of taxa (e.g. species), and posterior
distributions on phylogenetic tree topologies for each of these taxon sets, how
can we infer a posterior distribution on phylogenetic tree topologies for the
entire taxon set? Although the equivalent problem for in the non-Bayesian case
has attracted substantial research, the Bayesian case has not attracted the
attention it deserves. In this paper we develop a variational Bayes approach to
this problem and demonstrate its effectiveness.
