Finite mixture models and model-based clusteringFinite mixture models and model-based clustering

被引:209
作者
Melnykov, Volodymyr [1 ]
Maitra, Ranjan [2 ]
机构
[1] North Dakota State Univ, Dept Stat, Fargo, ND 58105 USA
[2] Iowa State Univ, Dept Stat, Ames, IA 50011 USA
基金
美国国家科学基金会;
关键词
EM algorithm; model selection; variable selection; diagnostics; two-dimensional gel electrophoresis data; proteomics; text mining; magnitude magnetic resonance image;
D O I
10.1214/09-SS053
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Finite mixture models have a long history in statistics, having been used to model population heterogeneity, generalize distributional assumptions, and lately, for providing a convenient yet formal framework for clustering and classification. This paper provides a detailed review into mixture models and model-based clustering. Recent trends as well as open problems in the area are also discussed.
引用
收藏
页码:80 / 116
页数:37
相关论文
共 122 条
[91]   Semi-supervised learning via penalized mixture model with application to microarray sample classification [J].
Pan, Wei ;
Shen, Xiaotong ;
Jiang, Aixiang ;
Hebbel, Robert P. .
BIOINFORMATICS, 2006, 22 (19) :2388-2395
[92]  
Pearson K., 1894, Philosophical Transactions, V185a, P71, DOI 10.1098/rsta.1894.0003
[93]   Robust mixture modelling using the t distribution [J].
Peel, D ;
McLachlan, GJ .
STATISTICS AND COMPUTING, 2000, 10 (04) :339-348
[94]  
Peel D, 2000, WILEY SER PROB STAT
[95]   IDENTIFYING CLUSTER OVERLAP WITH NORMIX POPULATION MEMBERSHIP PROBABILITIES [J].
PRICE, LJ .
MULTIVARIATE BEHAVIORAL RESEARCH, 1993, 28 (02) :235-262
[96]   Generation of random clusters with specified degree of separation [J].
Qiu, Weiliang ;
Joe, Harry .
JOURNAL OF CLASSIFICATION, 2006, 23 (02) :315-334
[97]   Separation index and partial membership for clustering [J].
Qiu, WL ;
Joe, H .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 50 (03) :585-603
[98]   Variable selection for model-based clustering [J].
Raftery, AE ;
Dean, N .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2006, 101 (473) :168-178
[99]   The topography of multivariate normal mixtures [J].
Ray, S ;
Lindsay, BG .
ANNALS OF STATISTICS, 2005, 33 (05) :2042-2065
[100]  
Ray S, 2008, J R STAT SOC B, V70, P95