Cluster-weighted ...-factor analyzers for robust model-based clustering and dimension reduction
Cluster-weighted models represent a convenient approach for model-based clustering, especially when the covariates contribute to defining the cluster-structure of the data. However, applicability may be limited when the number of covariates is high and performance may be affected by noise and outlie...
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| Vydané v: | Statistical methods & applications Ročník 24; číslo 4; s. 623 - 649 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Heidelberg
Springer Nature B.V
01.11.2015
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| ISSN: | 1618-2510, 1613-981X |
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| Abstract | Cluster-weighted models represent a convenient approach for model-based clustering, especially when the covariates contribute to defining the cluster-structure of the data. However, applicability may be limited when the number of covariates is high and performance may be affected by noise and outliers. To overcome these problems, common/uncommon ...-factor analyzers for the covariates, and a ...-distribution for the response variable, are here assumed in each mixture component. A family of twenty parsimonious variants of this model is also presented and the alternating expectation-conditional maximization algorithm, for maximum likelihood estimation of the parameters of all models in the family, is described. Artificial and real data show that these models have very good clustering performance and that the algorithm is able to recover the parameters very well. |
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| AbstractList | Cluster-weighted models represent a convenient approach for model-based clustering, especially when the covariates contribute to defining the cluster-structure of the data. However, applicability may be limited when the number of covariates is high and performance may be affected by noise and outliers. To overcome these problems, common/uncommon ...-factor analyzers for the covariates, and a ...-distribution for the response variable, are here assumed in each mixture component. A family of twenty parsimonious variants of this model is also presented and the alternating expectation-conditional maximization algorithm, for maximum likelihood estimation of the parameters of all models in the family, is described. Artificial and real data show that these models have very good clustering performance and that the algorithm is able to recover the parameters very well. (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).Cluster-weighted models represent a convenient approach for model-based clustering, especially when the covariates contribute to defining the cluster-structure of the data. However, applicability may be limited when the number of covariates is high and performance may be affected by noise and outliers. To overcome these problems, common/uncommon ...-factor analyzers for the covariates, and a ...-distribution for the response variable, are here assumed in each mixture component. A family of twenty parsimonious variants of this model is also presented and the alternating expectation-conditional maximization algorithm, for maximum likelihood estimation of the parameters of all models in the family, is described. Artificial and real data show that these models have very good clustering performance and that the algorithm is able to recover the parameters very well. |
| Author | Mcnicholas, Paul D Subedi, Sanjeena Ingrassia, Salvatore Punzo, Antonio |
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| Copyright | Statistical Methods & Applications is a copyright of Springer, 2015. |
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| DOI | 10.1007/s10260-015-0298-7 |
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| SubjectTerms | Algorithms Analyzers Clustering Mathematical models Maximization Maximum likelihood estimation Noise Normal distribution Texts |
| Title | Cluster-weighted ...-factor analyzers for robust model-based clustering and dimension reduction |
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