An effective strategy for initializing the EM algorithm in finite mixture models

作者: Semhar Michael , Volodymyr Melnykov

DOI: 10.1007/S11634-016-0264-8

关键词:

摘要: Finite mixture models represent one of the most popular tools for modeling heterogeneous data. The traditional approach parameter estimation is based on maximizing likelihood function. Direct optimization often troublesome due to complex structure. expectation---maximization algorithm proves be an effective remedy that alleviates this issue. solution obtained by procedure entirely driven choice starting values. This highlights importance initialization strategy. Despite efforts undertaken in area, there no uniform winner found and practitioners tend ignore issue, finding misleading or erroneous results. In paper, we propose a simple yet tool initializing setting. idea model averaging efficient detecting correct solutions even those cases when competitors perform poorly. utility proposed methodology shown through comprehensive simulation study applied well-known classification dataset with good

参考文章(37)
Volodymyr Melnykov, Semhar Michael, Igor Melnykov, Recent Developments in Model-Based Clustering with Applications Springer International Publishing. pp. 1- 39 ,(2015) , 10.1007/978-3-319-09259-1_1
Chris Fraley, Adrian E. Raftery, MCLUST Version 3: An R Package for Normal Mixture Modeling and Model-Based Clustering Defense Technical Information Center. ,(2006) , 10.21236/ADA456562
Finding Groups in Data John Wiley & Sons, Inc.. ,(1990) , 10.1002/9780470316801
J McLachlan, G, D. Peel, Finite Mixture Models ,(2000)
Chris T. Volinsky, Adrian E. Raftery, David Madigan, Jennifer A. Hoeting, Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors Statistical Science. ,vol. 14, pp. 382- 417 ,(1999) , 10.1214/SS/1009212519
Marcos Oliveira Prates, Celso Rômulo Barbosa Cabral, Víctor Hugo Lachos, mixsmsn: Fitting Finite Mixture of Scale Mixture of Skew-Normal Distributions Journal of Statistical Software. ,vol. 54, pp. 1- 20 ,(2013) , 10.18637/JSS.V054.I12
Volodymyr Melnykov, Wei-Chen Chen, Ranjan Maitra, MixSim: AnRPackage for Simulating Data to Study Performance of Clustering Algorithms Journal of Statistical Software. ,vol. 51, pp. 1- 25 ,(2012) , 10.18637/JSS.V051.I12
Rémi Lebret, Serge Iovleff, Florent Langrognet, Christophe Biernacki, Gilles Celeux, Gérard Govaert, Rmixmod: The R Package of the Model-Based Unsupervised, Supervised and Semi-Supervised Classification Mixmod Library Journal of Statistical Software. ,vol. 67, pp. 1- 29 ,(2015) , 10.18637/JSS.V067.I06