B0682
Title: Posterior contraction of the population polytope in finite admixture models
Authors: Long Nguyen - University of Michigan (United States) [presenting]
Abstract: The posterior contraction behavior is studies for the latent population structure that arises in admixture models as the amount of data increases. We adopt the geometric view of admixture models - alternatively known as topic models - as a data generating mechanism for points randomly sampled from the interior of a (convex) population polytope, whose extreme points correspond to the population structure variables of interest. Rates of posterior contraction are established with respect to Hausdorff metric and a minimum matching Euclidean metric defined on polytopes. Tools developed include posterior asymptotics of hierarchical models and arguments from convex geometry.
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