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Recent advances on overfitting Bayesian mixture models provide a solid and straightforward approach for inferring the underlying number of clusters and model parameters in heterogeneous datasets. The applicability of such a framework in…

Methodology · Statistics 2018-03-29 Panagiotis Papastamoulis

A mixture of multivariate Poisson-log normal factor analyzers is introduced by imposing constraints on the covariance matrix, which resulted in flexible models for clustering purposes. In particular, a class of eight parsimonious mixture…

Methodology · Statistics 2023-11-15 Andrea Payne , Anjali Silva , Steven J. Rothstein , Paul D. McNicholas , Sanjeena Subedi

Mixtures of factor analyzers (MFA) provide a powerful tool for modelling high-dimensional datasets. In recent years, several generalizations of MFA have been developed where the normality assumption of the factors and/or of the errors was…

Methodology · Statistics 2018-10-29 Sharon X. Lee , Tsung-I Lin , Geoffrey J. McLachlan

Biclustering is used for simultaneous clustering of the observations and variables when there is no group structure known \textit{a priori}. It is being increasingly used in bioinformatics, text analytics, etc. Previously, biclustering has…

Methodology · Statistics 2020-09-14 Wangshu Tu , Sanjeena Subedi

Mixtures of skew-t distributions offer a flexible choice for model-based clustering. A mixture model of this sort can be implemented using a variety of formulations of the skew-t distribution. Herein we develop a mixture of skew-t factor…

Methodology · Statistics 2017-10-09 Paula M. Murray , Ryan P. Browne , Paul D. McNicholas

In cluster analysis, a common first step is to scale the data aiming to better partition them into clusters. Even though many different techniques have throughout many years been introduced to this end, it is probably fair to say that the…

Machine Learning · Computer Science 2023-05-30 Eduardo J. Aguilar , Valmir C. Barbosa

Multi-view clustering is an important and fundamental problem. Many multi-view subspace clustering methods have been proposed, and most of them assume that all views share a same coefficient matrix. However, the underlying information of…

Machine Learning · Computer Science 2021-03-25 Qinghai Zheng , Jihua Zhu , Zhiqiang Tian , Zhongyu Li , Shanmin Pang , Xiuyi Jia

Factor models are widely applied to the analysis of multivariate data across disparate fields of research. However, modern scientific data are often incomplete, and estimating a factor model from partially observed data can be very…

Methodology · Statistics 2026-02-24 Giuseppe Vinci

Supervised classification and representation learning are two widely used classes of methods to analyze multivariate images. Although complementary, these methods have been scarcely considered jointly in a hierarchical modeling. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Adrien Lagrange , Mathieu Fauvel , Stéphane May , José Bioucas-Dias , Nicolas Dobigeon

Multi-view clustering is an important yet challenging task in machine learning and data mining community. One popular strategy for multi-view clustering is matrix factorization which could explore useful feature representations at…

Machine Learning · Computer Science 2021-05-04 Chen Zhang , Siwei Wang , Wenxuan Tu , Pei Zhang , Xinwang Liu , Changwang Zhang , Bo Yuan

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

Machine Learning · Statistics 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

Multi-view clustering has been widely used in recent years in comparison to single-view clustering, for clear reasons, as it offers more insights into the data, which has brought with it some challenges, such as how to combine these views…

Machine Learning · Computer Science 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Multi-view data is ever more apparent as methods for production, collection and storage of data become more feasible both practically and fiscally. However, not all features are relevant to describe the patterns for all individuals.…

Methodology · Statistics 2026-03-13 Ella S. C. Orme , Theodoulos Rodosthenous , Marina Evangelou

The mixture of factor analyzers model was first introduced over 20 years ago and, in the meantime, has been extended to several non-Gaussian analogues. In general, these analogues account for situations with heavy tailed and/or skewed…

Methodology · Statistics 2018-10-30 Paula M. Murray , Ryan P. Browne , Paul D. McNicholas

In the framework of Symbolic Data Analysis (SDA), distribution-variables are a particular case of multi-valued variables: each unit is represented by a set of distributions (e.g. histograms, density functions or quantile functions), one for…

Methodology · Statistics 2018-04-20 Rosanna Verde , Antonio Irpino

The paper proposes a latent variable model for binary data coming from an unobserved heterogeneous population. The heterogeneity is taken into account by replacing the traditional assumption of Gaussian distributed factors by a finite…

Methodology · Statistics 2010-10-13 Silvia Cagnone , Cinzia Viroli

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…

Machine Learning · Statistics 2015-10-23 Heysem Kaya , Albert Ali Salah

A method for dimension reduction with clustering, classification, or discriminant analysis is introduced. This mixture model-based approach is based on fitting generalized hyperbolic mixtures on a reduced subspace within the paradigm of…

Methodology · Statistics 2017-10-09 Katherine Morris , Paul D. McNicholas

Multi-view clustering aims at integrating complementary information from multiple heterogeneous views to improve clustering results. Existing multi-view clustering solutions can only output a single clustering of the data. Due to their…

Machine Learning · Computer Science 2019-11-27 Shaowei Wei , Jun Wang , Guoxian Yu , Carlotta , Xiangliang Zhang

Mixture models are among the most popular tools for clustering. However, when the dimension and the number of clusters is large, the estimation of the clusters become challenging, as well as their interpretation. Restriction on the…

Applications · Statistics 2021-05-11 Léna Carel , Pierre Alquier