{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T20:01:10Z","timestamp":1778529670758,"version":"3.51.4"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2015,6,11]],"date-time":"2015-06-11T00:00:00Z","timestamp":1433980800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2015,7]]},"DOI":"10.1007\/s11222-015-9561-x","type":"journal-article","created":{"date-parts":[[2015,6,10]],"date-time":"2015-06-10T16:52:03Z","timestamp":1433955123000},"page":"713-726","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":66,"title":["EM for mixtures"],"prefix":"10.1007","volume":"25","author":[{"given":"Jean-Patrick","family":"Baudry","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gilles","family":"Celeux","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,6,11]]},"reference":[{"key":"9561_CR1","doi-asserted-by":"crossref","first-page":"803","DOI":"10.2307\/2532201","volume":"49","author":"JD Banfield","year":"1993","unstructured":"Banfield, J.D., Raftery, A.E.: Model-based Gaussian and non-Gaussian clustering. Biometrics 49, 803\u2013821 (1993)","journal-title":"Biometrics"},{"key":"9561_CR2","unstructured":"Baudry, J.-P.: S\u00e9lection de mod\u00e8le pour la classification non supervis\u00e9e. Choix du nombre de classes. PhD thesis, Universit\u00e9 Paris-Sud (2009)"},{"key":"9561_CR3","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/s11222-011-9236-1","volume":"22","author":"J-P Baudry","year":"2011","unstructured":"Baudry, J.-P., Maugis, C., Michel, B.: Slope heuristics: overview and implementation. Stat. Comput. 22, 455\u2013470 (2011)","journal-title":"Stat. Comput."},{"key":"9561_CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/BF03372103","volume":"19","author":"A Berchtold","year":"2004","unstructured":"Berchtold, A.: Optimisation of mixture models: comparison of different strategies. Comput. Stat. 19, 385\u2013406 (2004)","journal-title":"Comput. Stat."},{"key":"9561_CR5","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1109\/34.865189","volume":"22","author":"C Biernacki","year":"2000","unstructured":"Biernacki, C., Celeux, G., Govaert, G.: Assessing a mixture model for clustering with the integrated completed likelihood. IEEE Trans. Pattern Anal. Mach. Intell. 22, 719\u2013725 (2000)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"9561_CR6","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1016\/S0167-9473(02)00163-9","volume":"41","author":"C Biernacki","year":"2003","unstructured":"Biernacki, C., Celeux, G., Govaert, G.: Choosing starting values for the EM algorithm for getting the highest likelihood in multivariate gaussian mixture models. Comput. Stat. Data Anal. 41, 561\u2013575 (2003)","journal-title":"Comput. Stat. Data Anal."},{"key":"9561_CR7","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s00440-006-0011-8","volume":"138","author":"L Birg\u00e9","year":"2007","unstructured":"Birg\u00e9, L., Massart, P.: Minimal penalties for Gaussian model selection. Probab. Theory Relat. Fields 138, 33\u201373 (2007)","journal-title":"Probab. Theory Relat. Fields"},{"key":"9561_CR8","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/0167-9473(92)90042-E","volume":"14","author":"G Celeux","year":"1992","unstructured":"Celeux, G., Govaert, G.: A classification EM algorithm for clustering and two stochastic versions. Comput. Stat. Data Anal. 14, 315\u2013332 (1992)","journal-title":"Comput. Stat. Data Anal."},{"key":"9561_CR9","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1016\/0031-3203(94)00125-6","volume":"28","author":"G Celeux","year":"1995","unstructured":"Celeux, G., Govaert, G.: Parsimonious Gaussian models in cluster analysis. Pattern Recognit. 28, 781\u2013793 (1995)","journal-title":"Pattern Recognit."},{"key":"9561_CR10","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1111\/1467-9469.00317","volume":"30","author":"G Ciuperca","year":"2003","unstructured":"Ciuperca, G., Ridolfi, A., Idier, J.: Penalized maximum likelihood estimator for normal mixtures. Scand. J. Stat. 30, 45\u201359 (2003)","journal-title":"Scand. J. Stat."},{"issue":"1","key":"9561_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","volume":"39","author":"AP Dempster","year":"1977","unstructured":"Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm. J. R. Stat. Soc. Ser. B (Methodological) 39(1), 1\u201338 (1977)","journal-title":"J. R. Stat. Soc. Ser. B (Methodological)"},{"key":"9561_CR12","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1198\/106186005X59603","volume":"14","author":"C Fraley","year":"2005","unstructured":"Fraley, C., Raftery, A., Wehrens, R.J.: Incremental model-based clustering for large datasets with small clusters. J. Comput. Graph. Stat. 14, 529\u2013546 (2005)","journal-title":"J. Comput. Graph. Stat."},{"key":"9561_CR13","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1198\/016214502760047131","volume":"97","author":"C Fraley","year":"2002","unstructured":"Fraley, C., Raftery, A.E.: Model-based clustering, discriminant analysis and density estimation. J. Am. Stat. Assoc. 97, 611\u2013631 (2002)","journal-title":"J. Am. Stat. Assoc."},{"key":"9561_CR14","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s00357-007-0004-5","volume":"24","author":"C Fraley","year":"2007","unstructured":"Fraley, C., Raftery, A.E.: Bayesian regularization for normal mixture estimation and model-based clustering. J. Classif. 24, 155\u2013181 (2007)","journal-title":"J. Classif."},{"key":"9561_CR15","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1186\/1471-2105-12-449","volume":"12","author":"AC Frazee","year":"2011","unstructured":"Frazee, A.C., et al.: ReCount: a multi-experiment resource of analysis-ready RNA-seq gene count datasets. BMC Bioinform. 12, 449 (2011)","journal-title":"BMC Bioinform."},{"key":"9561_CR16","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1038\/nature09715","volume":"471","author":"BR Graveley","year":"2011","unstructured":"Graveley, B.R., et al.: The development transcriptome of Drosophila melanogaster. Nature 471, 473\u2013479 (2011)","journal-title":"Nature"},{"issue":"1","key":"9561_CR17","first-page":"49","volume":"62","author":"C Keribin","year":"2000","unstructured":"Keribin, C.: Consistent estimation of the order of mixture models. Sankhya A 62(1), 49\u201366 (2000)","journal-title":"Sankhya A"},{"key":"9561_CR18","doi-asserted-by":"crossref","DOI":"10.1002\/9780470191613","volume-title":"The EM Algorithm and Extensions","author":"G McLachlan","year":"2008","unstructured":"McLachlan, G., Krishnan, T.: The EM Algorithm and Extensions, 2nd edn. Wiley, Hoboken (2008)","edition":"2"},{"key":"9561_CR19","doi-asserted-by":"crossref","DOI":"10.1002\/0471721182","volume-title":"Finite Mixture Models","author":"GJ McLachlan","year":"2000","unstructured":"McLachlan, G.J., Peel, D.: Finite Mixture Models. Wiley, New York (2000)"},{"key":"9561_CR20","doi-asserted-by":"crossref","unstructured":"Papastamoulis, P., Martin-Magniette, M.-L., Maugis-Rabusseau, C.: On the estimation of mixtures of poisson regression models with large numbers of components. Computat. Stat. Data Anal. (to appear) (2014)","DOI":"10.1016\/j.csda.2014.07.005"},{"key":"9561_CR21","unstructured":"Pelleg, D., Moore, A.W.: X-means: Extending k-means with efficient estimation of the number of clusters. In: Langley, P. (ed.) ICML, pp. 727\u2013734. Morgan Kaufmann (2000)"},{"key":"9561_CR22","doi-asserted-by":"crossref","unstructured":"Rau, A., Maugis-Rabusseau, C., Martin-Magniette, M.-L., Celeux, G.: Co-expression analysis of high-throughput transcriptome sequencing data with Poisson mixture models. Bioinformatics. (to appear) (2015)","DOI":"10.1093\/bioinformatics\/btu845"},{"key":"9561_CR23","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1080\/01621459.1997.10474044","volume":"92","author":"K Roeder","year":"1997","unstructured":"Roeder, K., Wasserman, L.: Practical Bayesian density estimation using mixtures of normals. J. Am. Stat. Assoc. 92, 894\u2013902 (1997)","journal-title":"J. Am. Stat. Assoc."},{"key":"9561_CR24","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1214\/aos\/1176344136","volume":"6","author":"G Schwarz","year":"1978","unstructured":"Schwarz, G.: Estimating the dimension of a model. Ann. Stat. 6, 461\u2013464 (1978)","journal-title":"Ann. Stat."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-015-9561-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11222-015-9561-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-015-9561-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,9]],"date-time":"2024-06-09T12:05:37Z","timestamp":1717934737000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11222-015-9561-x"}},"subtitle":["Initialization requires special care"],"short-title":[],"issued":{"date-parts":[[2015,6,11]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,7]]}},"alternative-id":["9561"],"URL":"https:\/\/doi.org\/10.1007\/s11222-015-9561-x","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,11]]}}}