The Discrete Infinite Logistic Normal Distribution for Mixed-Membership Modeling, incl. discussion by Frank Wood

author: Frank Wood, Gatsby Computational Neuroscience Unit, University College London
author: John Paisley, Department of Electrical and Computer Engineering, Duke University
published: May 6, 2011,   recorded: April 2011,   views: 249
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Description

We present the discrete infinite logistic normal distribution (DILN, “Dylan”), a Bayesian nonparametric prior for mixed membership models. DILN is a generalization of the hierarchical Dirichlet process (HDP) that models correlation structure between the weights of the atoms at the group level. We derive a representation of DILN as a normalized collection of gamma-distributed random variables, and study its statistical properties. We consider applications to topic modeling and derive a variational Bayes algorithm for approximate posterior inference. We study the empirical performance of the DILN topic model on four corpora, comparing performance with the HDP and the correlated topic model.

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