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CATVI: conditional and adaptively truncated variational inference for hierarchical Bayesian nonparametric models

Qiao, Xinghao ORCID: 0000-0002-6546-6595, Liu, Yirui and Lam, Jessica (2022) CATVI: conditional and adaptively truncated variational inference for hierarchical Bayesian nonparametric models. In: Proceedings of the 25th International Conference on Artificial Intelligence and Statistics. AISTATS.

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Abstract

Current variational inference methods for hierarchical Bayesian nonparametric models can neither characterize the correlation struc- ture among latent variables due to the mean- eld setting, nor infer the true posterior dimension because of the universal trunca- tion. To overcome these limitations, we pro- pose the conditional and adaptively trun- cated variational inference method (CATVI) by maximizing the nonparametric evidence lower bound and integrating Monte Carlo into the variational inference framework. CATVI enjoys several advantages over tra- ditional methods, including a smaller diver- gence between variational and true posteri- ors, reduced risk of undertting or overt- ting, and improved prediction accuracy. Em- pirical studies on three large datasets re- veal that CATVI applied in Bayesian non- parametric topic models substantially out- performs competing models, providing lower perplexity and clearer topic-words clustering.

Item Type: Book Section
Official URL: http://aistats.org/aistats2022/
Additional Information: © 2022 The Authors
Divisions: Statistics
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Date Deposited: 08 Apr 2022 15:48
Last Modified: 11 Apr 2022 09:45
URI: http://eprints.lse.ac.uk/id/eprint/114639

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