Asymptotic Guarantees for Bayesian Phylogenetic Tree Reconstruction

• 成果类型: Article; Early Access
• 署名作者: Kirichenko, Alisa; Kelly, Luke J.; Koskela, Jere
• 署名单位: University of Warwick; University College Cork; Newcastle University - UK
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1080/01621459.2025.2485359
• 发表日期: 2025
• 关键词: inference; Consistency

摘要

We derive tractable criteria for the consistency of Bayesian tree reconstruction procedures, which constitute a central class of algorithms for inferring common ancestry among DNA sequence samples in phylogenetics. Our results encompass several Bayesian algorithms in widespread use, such as BEAST, MrBayes, and RevBayes. Unlike essentially all existing asymptotic guarantees for tree reconstruction, we require no discretization or boundedness assumptions on branch lengths. Our results are also very flexible, and easy to adapt to variations of the underlying inference problem. We demonstrate the practicality of our criteria on two examples: a Kingman coalescent prior on rooted, ultrametric trees, and an independence prior on unconstrained binary trees, though we emphasize that our result also applies to nonbinary tree models. In both cases, the convergence rate we obtain matches known, frequentist results obtained using stronger boundedness assumptions, up to logarithmic factors. Supplementary materials for this article are available online, including a standardized description of the materials available for reproducing the work.