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Supplement for Improved Variational Bayesian Phylogenetic Inference with Normalizing Flows A Subsplit Bayesian networks D AB C AB CD ABC D ABC D AB CD D AB CD AB CD AB CD assign

Neural Information Processing Systems

Figure 1: A simple subsplit Bayesian network for a leaf set that contains 4 species A, B, C and D. This figure is adapted from Zhang and Matsen IV (2019). SBN (the one with a full and complete binary tree structure as shown in Figure 1) is good enough. The SBN framework also generalizes to unrooted trees, which are the most common type of phylogenetic trees. (Zhang and Matsen IV, 2018). Sampling from SBNs is also straightforward via ancestral sampling.



Variational Inference for Graph Convolutional Networks in the Absence of Graph Data and Adversarial Settings

Neural Information Processing Systems

We formulate a joint probabilistic model that considers a prior distribution over graphs along with a GCN-based likelihood and develop a stochastic variational inference algorithm to estimate the graph posterior and the GCN parameters jointly.