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相关论文: A Mixture of SDB Skew-t Factor Analyzers

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Model-based clustering is widely used for identifying and distinguishing types of diseases. However, modern biomedical data coming with high dimensions make it challenging to perform the model estimation in traditional cluster analysis. The…

统计方法学 · 统计学 2025-07-22 Kazeem Kareem , Fan Dai

Handling missing data is a major challenge in model-based clustering, especially when the data exhibit skewness and heavy tails. We address this by extending the finite mixture of scale mixtures of multivariate skew-normal (FMSMSN) family…

统计方法学 · 统计学 2025-07-29 Jason Pillay , Cristina Tortora , Antonio Punzo , Andriette Bekker

Mixture of factor analyzer (MFA) model is an efficient model for the analysis of high dimensional data through which the factor-analyzer technique based on the covariance matrices reducing the number of free parameters. The model also…

统计方法学 · 统计学 2022-12-05 Hamid Reza Safaeyan , Karim Zare , Mohamad R. Mahmoudi , Amir Mosavi

We introduce a mixture of generalized hyperbolic distributions as an alternative to the ubiquitous mixture of Gaussian distributions as well as their near relatives of which the mixture of multivariate t and skew-t distributions are…

统计方法学 · 统计学 2017-10-09 Ryan P. Browne , Paul D. McNicholas

Much work has been done in the area of the cluster weighted model (CWM), which extends the finite mixture of regression model to include modelling of the covariates. Although many types of distributions have been considered for both the…

Analysis of matrix-variate data is becoming increasingly common in the literature, particularly in the field of clustering and classification. It is well-known that real data, including real matrix-variate data, often exhibit high levels of…

统计方法学 · 统计学 2024-07-30 Abbas Mahdavi , Narayanaswamy Balakrishnan , Ahad Jamalizadeh

Although there is ample work in the literature dealing with skewness in the multivariate setting, there is a relative paucity of work in the matrix variate paradigm. Such work is, for example, useful for modelling three-way data. A matrix…

统计方法学 · 统计学 2017-10-09 Michael P. B. Gallaugher , Paul D. McNicholas

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

统计理论 · 数学 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

Cluster-weighted factor analyzers (CWFA) are a versatile class of mixture models designed to estimate the joint distribution of a random vector that includes a response variable along with a set of explanatory variables. They are…

统计方法学 · 统计学 2024-11-07 Xiaoke Qin , Francesca Martella , Sanjeena Subedi

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

Mixtures of multivariate normal inverse Gaussian (MNIG) distributions can be used to cluster data that exhibit features such as skewness and heavy tails. However, for cluster analysis, using a traditional finite mixture model framework,…

统计方法学 · 统计学 2020-05-13 Yuan Fang , Dimitris Karlis , Sanjeena Subedi

In recent work, robust mixture modelling approaches using skewed distributions have been explored to accommodate asymmetric data. We introduce parsimony by developing skew-t and skew-normal analogues of the popular GPCM family that employ…

统计方法学 · 统计学 2013-11-12 Irene Vrbik , Paul D. McNicholas

Growth mixture models are an important tool for detecting group structure in repeated measures data. Unlike traditional clustering methods, they explicitly model the repeat measurements on observations, and the statistical framework they…

统计方法学 · 统计学 2017-10-20 Abby Flynt , Nema Dean

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of the variables. A clustering algorithm should be able, despite of this heterogeneity, to extract discriminant pieces of information from the…

机器学习 · 计算机科学 2022-05-10 Robin Fuchs , Denys Pommeret , Cinzia Viroli

We propose a clustering method, funWeightClustSkew, based on mixtures of functional linear regression models and three skewed multivariate distributions: the variance-gamma distribution, the skew-t distribution, and the normal-inverse…

统计方法学 · 统计学 2025-04-18 Cristina Anton , Roy Shivam Ram Shreshtth

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

统计方法学 · 统计学 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas

We propose a new class of robust and Fisher-consistent estimators for mixture models. These estimators can be used to construct robust model-based clustering procedures. We study in detail the case of multivariate normal mixtures and…

统计方法学 · 统计学 2021-06-09 Juan D. Gonzalez , Ricardo Maronna , Victor J. Yohai , Ruben H. Zamar

Gaussian mixture models are a popular tool for model-based clustering, and mixtures of factor analyzers are Gaussian mixture models having parsimonious factor covariance structure for mixture components. There are several recent extensions…

统计方法学 · 统计学 2023-06-29 Lucas Kock , Nadja Klein , David J. Nott

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…

统计方法学 · 统计学 2019-09-10 Shonosuke Sugasawa , Genya Kobayashi , Yuki Kawakubo

A mixture of joint generalized hyperbolic distributions (MJGHD) is introduced for asymmetric clustering for high-dimensional data. The MJGHD approach takes into account the cluster-specific subspace, thereby limiting the number of…

统计方法学 · 统计学 2018-11-02 Yang Tang , Ryan P. Browne , Paul D. McNicholas