ArticleBiometrika2022
Generalized infinite factorization models.
Article in Biometrika, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- A Tutorial on Bayesian Multi-Study Factor Analysis With Applications in Nutrition and Genomics.Statistics in medicine · 2026Article
- Inferring Covariance Structure from Multiple Data Sources via Subspace Factor Analysis.Journal of the American Statistical Association · 2025Article
- Efficient Bayesian functional principal component analysis of irregularly-observed multivariate curves.Computational statistics & data analysis · 2025Article
- Flexible Regularized Estimation in High-Dimensional Mixed Membership Models.Computational statistics & data analysis · 2024Article
- Escaping The Curse of Dimensionality in Bayesian Model-Based Clustering.Journal of machine learning research : JMLR · 2023Article
- Powering Research through Innovative Methods for Mixtures in Epidemiology (PRIME) Program: Novel and Expanded Statistical Methods.International journal of environmental research and public health · 2022Review
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3 authors.
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Abstract
Factorization models express a statistical object of interest in terms of a collection of simpler objects. For example, a matrix or tensor can be expressed as a sum of rank-one components. However, in practice, it can be challenging to infer the relative impact of the different components as well as the number of components. A popular idea is to include infinitely many components having impact decreasing with the component index. This article is motivated by two limitations of existing methods: (1) lack of careful consideration of the within component sparsity structure; and (2) no accommodation for grouped variables and other non-exchangeable structures. We propose a general class of infinite factorization models that address these limitations. Theoretical support is provided, practical gains are shown in simulation studies, and an ecology application focusing on modelling bird species occurrence is discussed.
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