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The Discrete Infinite Logistic Normal Distribution
Machine Learning · Submitted 24 Mar 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We study the empirical performance of the DILN topic model on four corpora, comparing performance with the HDP and the correlated topic model (CTM).
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The abstract, sentence by sentence
We present the discrete infinite logistic normal distribution (DILN), 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 inference 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 (CTM). To deal with large-scale data sets, we also develop an online inference algorithm for DILN and compare with online HDP and online LDA on the Nature magazine, which contains approximately 350,000 articles.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present the discrete infinite logistic normal distribution (DILN), a Bayesian nonparametric prior for mixed membership models. | contribution 0.98 | 0.91 | 0.16 | asserted 1.00 |
| s1 | DILN is a generalization of the hierarchical Dirichlet process (HDP) that models correlation structure between the weights of the atoms at the group level. | contribution 0.52 | 0.45 | 0.11 | asserted 1.00 |
| s2 | We derive a representation of DILN as a normalized collection of gamma-distributed random variables, and study its statistical properties. | contribution 0.75 | 0.97 | 0.08 | asserted 1.00 |
| s3 | We consider applications to topic modeling and derive a variational inference algorithm for approximate posterior inference. | contribution 0.58 | 0.95 | 0.06 | asserted 0.97 |
| s4 | We study the empirical performance of the DILN topic model on four corpora, comparing performance with the HDP and the correlated topic model (CTM). | contribution 0.81 | 0.96 | 0.15 | asserted 0.94 |
| s5 | To deal with large-scale data sets, we also develop an online inference algorithm for DILN and compare with online HDP and online LDA on the Nature magazine, which contains approximately 350,000 articles. | contribution 0.68 | 0.96 | 0.07 | asserted 0.99 |
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Original abstract
We present the discrete infinite logistic normal distribution (DILN), 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 inference 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 (CTM). To deal with large-scale data sets, we also develop an online inference algorithm for DILN and compare with online HDP and online LDA on the Nature magazine, which contains approximately 350,000 articles.
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