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We study Bayesian estimation of finite mixture models in a general setup where the number of components is unknown and allowed to grow with the sample size. An assumption on growing number of components is a natural one as the degree of…

Statistics Theory · Mathematics 2022-03-18 Ilsang Ohn , Lizhen Lin

The assessment of diversity and similarity is relevant in monitoring the status of ecosystems. The respective indicators are based on the taxonomic composition of biological communities of interest, currently estimated through the…

Applications · Statistics 2018-10-12 Fabio Divino , Johanna Ärje , Antti Penttinen , Kristian Meissner , Salme Kärkkäinen

Optimal sampling strategies are critical for surveys of deeper coral reef and shoal systems, due to the significant cost of accessing and field sampling these remote and poorly understood ecosystems. Additionally, well-established standard…

Methodology · Statistics 2022-08-31 Dilishiya De Silva , Rebecca Fisher , Ben Radford , Helen Thompson , James McGree

Mixture models are a natural choice in many applications, but it can be difficult to place an a priori upper bound on the number of components. To circumvent this, investigators are turning increasingly to Dirichlet process mixture models…

Statistics Theory · Mathematics 2018-06-22 Łukasz Rajkowski

Maximum likelihood estimates (MLEs) are asymptotically normally distributed, and this property is used in meta-analyses to test the heterogeneity of estimates, either for a single cluster or for several sub-groups. More recently, MLEs for…

Statistics Theory · Mathematics 2022-02-28 Anthony J. Webster

In microbiome studies, it is often of great interest to identify clusters or partitions of microbiome profiles within a study population and to characterize the distinctive attributes of each resulting microbial community. While raw counts…

Methodology · Statistics 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

Methodology · Statistics 2024-07-30 Alexander Dombowsky , David B. Dunson

Clustering multivariate binary data is of interest in many scientific fields, including ecology, biomedicine, and social policy. Beyond heuristic clustering algorithms, such data can be modelled using multivariate Bernoulli mixture models.…

Methodology · Statistics 2026-04-24 Luisa Ferrari , Maria Franco Villoria , Garritt L. Page , Alex Laini

In the field of population health research, understanding the similarities between geographical areas and quantifying their shared effects on health outcomes is crucial. In this paper, we synthesise a number of existing methods to create a…

Applications · Statistics 2023-11-27 Wala Draidi Areed , Aiden Price , Helen Thompson , Reid Malseed , Kerrie Mengersen

This article proposes a mixture modeling approach to estimating cluster-wise conditional distributions in clustered (grouped) data. We adapt the mixture-of-experts model to the latent distributions, and propose a model in which each…

Methodology · Statistics 2019-09-10 Shonosuke Sugasawa , Genya Kobayashi , Yuki Kawakubo

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

When faced with high frequency streams of data, clustering raises theoretical and algorithmic pitfalls. We introduce a new and adaptive online clustering algorithm relying on a quasi-Bayesian approach, with a dynamic (i.e., time-dependent)…

Machine Learning · Statistics 2018-09-24 Le Li , Benjamin Guedj , Sébastien Loustau

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

Methodology · Statistics 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

Methodology · Statistics 2019-08-29 Panagiotis Papastamoulis

The latent position cluster model is a popular model for the statistical analysis of network data. This approach assumes that there is an underlying latent space in which the actors follow a finite mixture distribution. Moreover, actors…

Computation · Statistics 2013-08-23 Nial Friel , Caitriona Ryan , Jason Wyse

Motivated by the need to model the dependence between regions of interest in functional neuroconnectivity for efficient inference, we propose a new sampling-based Bayesian clustering approach for covariance structures of high-dimensional…

Methodology · Statistics 2024-01-09 Hyoshin Kim , Sujit K. Ghosh , Adriana Di Martino , Emily C. Hector

Classically, Bayesian clustering interprets each component of a mixture model as a cluster. The inferred clustering posterior is highly sensitive to any inaccuracies in the kernel within each component. As this kernel is made more flexible,…

Methodology · Statistics 2025-12-12 David Buch , Miheer Dewaskar , David B. Dunson

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

Methodology · Statistics 2021-07-07 Yinan Mao , David J. Nott

From neuroscience and genomics to systems biology and ecology, researchers rely on clustering similarity data to uncover modular structure. Yet widely used clustering methods, such as hierarchical clustering, k-means, and WGCNA, lack…

Machine Learning · Statistics 2025-10-20 Magnus Neuman , Jelena Smiljanić , Martin Rosvall

The latent position cluster model is a popular model for the statistical analysis of network data. This model assumes that there is an underlying latent space in which the actors follow a finite mixture distribution. Moreover, actors which…

Computation · Statistics 2017-02-02 Caitriona Ryan , Jason Wyse , Nial Friel