Truncated inverse-Lévy measure representation of the beta process

Junyi Zhang, Angelos Dassios, Chong Zhong and Qiufei Yao

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: The beta process is a widely used nonparametric prior in Bayesian machine learning. While various inference schemes have been developed for the beta process and related models, the current state-of-the-art method relies heavily on the stick-breaking representation with decreasing atom weights, which is available only for a special hyperparameter. In this paper, we introduce the truncated inverse-Lévy measure representation (TILe-Rep) that extends the decreasing atom weights representation of the beta process to general hyperparameters. The TILe-Rep fills the gap between the two stick-breaking representations in Teh et al. (2007) and Paisley et al. (2010). Moreover, it has a lower truncation error compared to other sequential representations of the beta process and potentially leads to the posterior consistency property of the Bayesian factor models. We demonstrate the usage of the TILe-Rep in the celebrated beta process factor analysis model and beta process sparse factor model.

JEL-codes: C1 (search for similar items in EconPapers)
Pages: 9 pages
Date: 2025-04-23
New Economics Papers: this item is included in nep-ecm
References: Add references at CitEc
Citations:

Published in Proceedings of Machine Learning Research, 23, April, 2025, 258, pp. 1720-1728. ISSN: 2640-3498

Downloads: (external link)
http://eprints.lse.ac.uk/129968/ Open access version. (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:129968

Access Statistics for this paper

More papers in LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library LSE Library Portugal Street London, WC2A 2HD, U.K.. Contact information at EDIRC.
Bibliographic data for series maintained by LSERO Manager ().