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相关论文: Clustering of non-Gaussian data by variational Bay…

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Parameter estimation for model-based clustering using a finite mixture of normal inverse Gaussian (NIG) distributions is achieved through variational Bayes approximations. Univariate NIG mixtures and multivariate NIG mixtures are…

统计方法学 · 统计学 2017-10-09 Sanjeena Subedi , Paul D. McNicholas

Non-Gaussian mixture models are gaining increasing attention for mixture model-based clustering particularly when dealing with data that exhibit features such as skewness and heavy tails. Here, such a mixture distribution is presented,…

统计计算 · 统计学 2020-05-07 Yuan Fang , Dimitris Karlis , Sanjeena Subedi

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 Bayesian inference for mixture models with an unknown number of components, a finite mixture model is usually employed that assumes prior distributions for mixing weights and the number of components. This model is called a mixture of…

统计方法学 · 统计学 2025-12-25 Fumiya Iwashige , Shintaro Hashimoto

The family of location and scale mixtures of Gaussians has the ability to generate a number of flexible distributional forms. It nests as particular cases several important asymmetric distributions like the Generalised Hyperbolic…

统计方法学 · 统计学 2014-08-05 Darren Wraith , Florence Forbes

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

Clustering task of mixed data is a challenging problem. In a probabilistic framework, the main difficulty is due to a shortage of conventional distributions for such data. In this paper, we propose to achieve the mixed data clustering with…

统计方法学 · 统计学 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

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

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

统计方法学 · 统计学 2025-02-28 M. E. J. Newman

Bayesian nonparametric mixture models are common for modeling complex data. While these models are well-suited for density estimation, recent results proved posterior inconsistency of the number of clusters when the true number of…

统计理论 · 数学 2024-05-31 Louise Alamichel , Daria Bystrova , Julyan Arbel , Guillaume Kon Kam King

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

A mixture of variance-gamma distributions is introduced and developed for model-based clustering and classification. The latest in a growing line of non-Gaussian mixture approaches to clustering and classification, the proposed mixture of…

统计方法学 · 统计学 2014-12-30 Sharon M. McNicholas , Paul D. McNicholas , Ryan P. Browne

In many modern applications, there is interest in analyzing enormous data sets that cannot be easily moved across computers or loaded into memory on a single computer. In such settings, it is very common to be interested in clustering.…

统计计算 · 统计学 2020-05-15 Hanyu Song , Yingjian Wang , David B. Dunson

Bayesian models offer great flexibility for clustering applications---Bayesian nonparametrics can be used for modeling infinite mixtures, and hierarchical Bayesian models can be utilized for sharing clusters across multiple data sets. For…

机器学习 · 计算机科学 2012-06-15 Brian Kulis , Michael I. Jordan

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

The majority of finite mixture models suffer from not allowing asymmetric tail dependencies within components and not capturing non-elliptical clusters in clustering applications. Since vine copulas are very flexible in capturing these…

统计方法学 · 统计学 2021-09-09 Özge Sahin , Claudia Czado

Financial studies require volatility based models which provides useful insights on risks related to investments. Stochastic volatility models are one of the most popular approaches to model volatility in such studies. The asset returns…

统计方法学 · 统计学 2021-10-26 Soham Mukherjee

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

统计理论 · 数学 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

This paper uses Gaussian mixture model instead of linear Gaussian model to fit the distribution of every node in Bayesian network. We will explain why and how we use Gaussian mixture models in Bayesian network. Meanwhile we propose a new…

机器学习 · 统计学 2022-05-17 Yiran Dong , Chuanhou Gao

Data clustering, including problems such as finding network communities, can be put into a systematic framework by means of a Bayesian approach. The application of Bayesian approaches to real problems can be, however, quite challenging. In…

数据分析、统计与概率 · 物理学 2008-09-28 Alexei Vazquez
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