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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…

统计方法学 · 统计学 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

统计计算 · 统计学 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

We consider the problem of model-based clustering in the presence of many correlated, mixed continuous and discrete variables, some of which may have missing values. Discrete variables are treated with a latent continuous variable approach…

Citizen science biodiversity data present great opportunities for ecology and conservation across vast spatial and temporal scales. However, the opportunistic nature of these data lacks the sampling structure required by modeling…

机器学习 · 计算机科学 2025-04-15 Nahian Ahmed , Mark Roth , Tyler A. Hallman , W. Douglas Robinson , Rebecca A. Hutchinson

The ocean is filled with microscopic microalgae called phytoplankton, which together are responsible for as much photosynthesis as all plants on land combined. Our ability to predict their response to the warming ocean relies on…

应用统计 · 统计学 2022-08-05 Sangwon Hyun , Mattias Rolf Cape , Francois Ribalet , Jacob Bien

Clustered data arise naturally in many scientific and applied research settings where units are grouped within clusters. They are commonly analyzed using linear mixed models to account for within-cluster correlations. This article focuses…

统计方法学 · 统计学 2025-10-10 Zhi Yang Tho , Raymond Chambers , A. H. Welsh

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

Clusters appear in nature in a diversity of contexts, involving distances as long as the cosmological ones, and down to atoms and molecules and the very small nuclear size. They also appear in several other scenarios, in particular in…

种群与进化 · 定量生物学 2020-02-19 D. Bazeia , M. V. de Moraes , B. F. de Oliveira

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

最优化与控制 · 数学 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

Clustering of mixed-type datasets can be a particularly challenging task as it requires taking into account the associations between variables with different level of measurement, i.e., nominal, ordinal and/or interval. In some cases,…

统计方法学 · 统计学 2022-04-22 Odysseas Moschidis , Angelos Markos , Theodore Chadjipadelis

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…

统计方法学 · 统计学 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Finite mixture models have become a popular tool for clustering. Amongst other uses, they have been applied for clustering longitudinal data and clustering high-dimensional data. In the latter case, a latent Gaussian mixture model is…

统计方法学 · 统计学 2018-04-17 Vanessa S. E. Bierling , Paul D. McNicholas

Researchers often have to deal with heterogeneous population with mixed regression relationships, increasingly so in the era of data explosion. In such problems, when there are many candidate predictors, it is not only of interest to…

统计方法学 · 统计学 2021-02-05 Yan Li , Chun Yu , Yize Zhao , Robert H. Aseltine , Weixin Yao , Kun Chen

In a regression analysis, suppose we suspect that there are several heterogeneous groups in the population that a sample represents. Mixture regression models have been applied to address such problems. By modeling the conditional…

统计方法学 · 统计学 2013-07-02 Toshiya Hoshikawa

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

种群与进化 · 定量生物学 2007-05-23 Thomas Petermann , Paolo De Los Rios

In many fields, researchers are interested in large and complex biological processes. Two important examples are gene expression and DNA methylation in genetics. One key problem is to identify aberrant patterns of these processes and…

应用统计 · 统计学 2012-10-03 Matthias Kormaksson , James G. Booth , Maria E. Figueroa , Ari Melnick

A mixture of factor analyzers is a semi-parametric density estimator that generalizes the well-known mixtures of Gaussians model by allowing each Gaussian in the mixture to be represented in a different lower-dimensional manifold. This…

机器学习 · 统计学 2015-10-23 Heysem Kaya , Albert Ali Salah

Discrete mixture models are routinely used for density estimation and clustering. While conducting inferences on the cluster-specific parameters, current frequentist and Bayesian methods often encounter problems when clusters are placed too…

统计方法学 · 统计学 2012-09-21 Francesca Petralia , Vinayak Rao , David B. Dunson

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

统计方法学 · 统计学 2025-05-16 Luca Scrucca

For several years, model-based clustering methods have successfully tackled many of the challenges presented by data-analysts. However, as the scope of data analysis has evolved, some problems may be beyond the standard mixture model…

统计计算 · 统计学 2018-08-31 Arthur White , Thomas Brendan Murphy