MatTransMix: an R Package for Matrix Model-Based Clustering and Parsimonious Mixture Modeling

IF 1.8 4区 计算机科学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Classification Pub Date : 2021-09-22 DOI:10.1007/s00357-021-09401-9
Zhu, Xuwen, Sarkar, Shuchismita, Melnykov, Volodymyr
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引用次数: 7

Abstract

Finite mixture modeling, expanded to matrix-valued data, faces several challenges. One of the major concerns is overparameterization resulting from the high number of parameters involved in a matrix mixture. In addition, an appropriate power transformation is very useful if the data are skewed. The R package MatTransMix is a new piece of software devoted to parsimonious models, based on spectral decomposition of covariance matrices, developed for fitting heterogeneous matrix-valued data providing model-based clustering results. The package implements a variety of parsimonious models obtained from various combinations of spectral decomposition and skewness parameters. The paper discusses some methodological foundations of the proposed models and elaborates the functions available in this package on carefully chosen examples.

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MatTransMix:一个基于矩阵模型的聚类和简约混合建模的R包
有限混合建模,扩展到矩阵值数据,面临着几个挑战。一个主要的问题是过度参数化,这是由大量的参数所导致的。此外,如果数据偏斜,适当的功率转换是非常有用的。R软件包MatTransMix是一款致力于简化模型的新软件,基于协方差矩阵的谱分解,用于拟合异构矩阵值数据,提供基于模型的聚类结果。该包实现了从光谱分解和偏度参数的各种组合获得的各种简约模型。本文讨论了所提出的模型的一些方法基础,并通过精心选择的例子详细阐述了该包中可用的功能。
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来源期刊
Journal of Classification
Journal of Classification 数学-数学跨学科应用
CiteScore
3.60
自引率
5.00%
发文量
16
审稿时长
>12 weeks
期刊介绍: To publish original and valuable papers in the field of classification, numerical taxonomy, multidimensional scaling and other ordination techniques, clustering, tree structures and other network models (with somewhat less emphasis on principal components analysis, factor analysis, and discriminant analysis), as well as associated models and algorithms for fitting them. Articles will support advances in methodology while demonstrating compelling substantive applications. Comprehensive review articles are also acceptable. Contributions will represent disciplines such as statistics, psychology, biology, information retrieval, anthropology, archeology, astronomy, business, chemistry, computer science, economics, engineering, geography, geology, linguistics, marketing, mathematics, medicine, political science, psychiatry, sociology, and soil science.
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