Finite mixture models

GJ McLachlan, SX Lee… - Annual review of statistics …, 2019 - annualreviews.org
The important role of finite mixture models in the statistical analysis of data is underscored
by the ever-increasing rate at which articles on mixture applications appear in the statistical …

Model-based clustering

PD McNicholas - Journal of Classification, 2016 - Springer
The notion of defining a cluster as a component in a mixture model was put forth by
Tiedeman in 1955; since then, the use of mixture models for clustering has grown into an …

Deep Gaussian mixture models

C Viroli, GJ McLachlan - Statistics and Computing, 2019 - Springer
Deep learning is a hierarchical inference method formed by subsequent multiple layers of
learning able to more efficiently describe complex relationships. In this work, deep Gaussian …

Identifying mixtures of mixtures using Bayesian estimation

G Malsiner-Walli, S Frühwirth-Schnatter… - … of Computational and …, 2017 - Taylor & Francis
The use of a finite mixture of normal distributions in model-based clustering allows us to
capture non-Gaussian data clusters. However, identifying the clusters from the normal …

Subspace K-means clustering

ME Timmerman, E Ceulemans, K De Roover… - Behavior research …, 2013 - Springer
To achieve an insightful clustering of multivariate data, we propose subspace K-means. Its
central idea is to model the centroids and cluster residuals in reduced spaces, which allows …

Variable selection for clustering and classification

JL Andrews, PD McNicholas - Journal of Classification, 2014 - Springer
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 …

Infinite mixtures of infinite factor analysers

K Murphy, C Viroli, IC Gormley - 2020 - projecteuclid.org
Infinite Mixtures of Infinite Factor Analysers Page 1 Bayesian Analysis (2020) 15, Number 3,
pp. 937–963 Infinite Mixtures of Infinite Factor Analysers Keefe Murphy ∗ , Cinzia Viroli † …

Modelling the role of variables in model-based cluster analysis

G Galimberti, A Manisi, G Soffritti - Statistics and Computing, 2018 - Springer
In the framework of cluster analysis based on Gaussian mixture models, it is usually
assumed that all the variables provide information about the clustering of the sample units …

Clustering high‐dimensional mixed data to uncover sub‐phenotypes: joint analysis of phenotypic and genotypic data

D McParland, CM Phillips, L Brennan… - Statistics in …, 2017 - Wiley Online Library
The LIPGENE‐SU. VI. MAX study, like many others, recorded high‐dimensional continuous
phenotypic data and categorical genotypic data. LIPGENE‐SU. VI. MAX focuses on the need …

Dynamic mixture of finite mixtures of factor analysers with automatic inference on the number of clusters and factors

M Grushanina, S Frühwirth-Schnatter - arXiv preprint arXiv:2307.07045, 2023 - arxiv.org
Mixtures of factor analysers (MFA) models represent a popular tool for finding structure in
data, particularly high-dimensional data. While in most applications the number of clusters …