{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,11]],"date-time":"2026-08-11T12:39:58Z","timestamp":1786451998306,"version":"3.56.0"},"reference-count":34,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/100010407","name":"College of Liberal Arts and Sciences, Arizona State University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010407","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2024\/08369-8"],"award-info":[{"award-number":["2024\/08369-8"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007710","name":"University of Connecticut","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007710","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100023789","name":"Office of Vice President for Research, University of Virginia","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100023789","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100023736","name":"Office of the Vice President for Research and Partnerships","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100023736","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.cam.2026.117463","type":"journal-article","created":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T00:23:56Z","timestamp":1771374236000},"page":"117463","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Finite mixtures of matrix-variate shifted generalized asymmetric Laplace distribution for three-way data"],"prefix":"10.1016","volume":"484","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2604-5875","authenticated-orcid":false,"given":"Carlos A.R.","family":"Diniz","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-6498-439X","authenticated-orcid":false,"given":"Jhonata Da Silva","family":"Pereira","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7239-2459","authenticated-orcid":false,"given":"Victor H.","family":"Lachos","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2026.117463_bib0001","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s11222-010-9188-x","article-title":"Finite mixtures of matrix normal distributions for classifying three-way data","volume":"21","author":"Viroli","year":"2011","journal-title":"Stat. Comput."},{"issue":"5","key":"10.1016\/j.cam.2026.117463_bib0002","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1093\/bioinformatics\/btad167","article-title":"Finite mixtures of matrix variate Poisson\u2013log normal distributions for three-way count data","volume":"39","author":"Silva","year":"2023","journal-title":"Bioinformatics"},{"issue":"2","key":"10.1016\/j.cam.2026.117463_bib0003","first-page":"335","article-title":"Finite mixtures of matrix variate t distributions","volume":"29","author":"Do\u011fru","year":"2016","journal-title":"Gazi Univ. J. Sci."},{"issue":"4","key":"10.1016\/j.cam.2026.117463_bib0004","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1214\/11-BA622","article-title":"Model-based clustering for three-way data structures","volume":"6","author":"Viroli","year":"2011","journal-title":"Bayesian Anal."},{"key":"10.1016\/j.cam.2026.117463_bib0005","doi-asserted-by":"crossref","first-page":"267","DOI":"10.2307\/2347949","article-title":"On using principal components before separating a mixture of two multivariate normal distributions","volume":"32","author":"Chang","year":"1983","journal-title":"Appl. Stat."},{"key":"10.1016\/j.cam.2026.117463_bib0006","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/2981662","article-title":"What is projection pursuit? (with discussion)","volume":"150","author":"Jones","year":"1987","journal-title":"J. R. Stat. Soc. Ser. A"},{"key":"10.1016\/j.cam.2026.117463_bib0007","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/s003579900034","article-title":"Partitions of partitions","volume":"15","author":"Gordon","year":"1998","journal-title":"J. Classif."},{"key":"10.1016\/j.cam.2026.117463_bib0008","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s003579900041","article-title":"One mode classification of a three-way data set","volume":"16","author":"Vichi","year":"1999","journal-title":"J. Classif."},{"key":"10.1016\/j.cam.2026.117463_bib0009","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s00357-007-0006-x","article-title":"Simultaneous component and clustering models for three-way data: within and between approaches","volume":"24","author":"Vichi","year":"2007","journal-title":"J. Classif."},{"key":"10.1016\/j.cam.2026.117463_bib0010","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF01908066","article-title":"The mixture method of clustering applied to three-way data","volume":"2","author":"Basford","year":"1985","journal-title":"J. Classif."},{"key":"10.1016\/j.cam.2026.117463_bib0011","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s003579900057","article-title":"Fitting a mixture model to three-mode three-way data with categorical and continuous variables","volume":"16","author":"Hunt","year":"1999","journal-title":"J. Classif."},{"key":"10.1016\/j.cam.2026.117463_bib0012","doi-asserted-by":"crossref","first-page":"5368","DOI":"10.1016\/j.csda.2006.08.005","article-title":"A hierarchical mixture model for clustering three-way data sets","volume":"51","author":"Vermunt","year":"2007","journal-title":"Comput. Stat. Data Anal."},{"issue":"3","key":"10.1016\/j.cam.2026.117463_bib0013","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1080\/02331880500108593","article-title":"Matrix variate skew normal distributions","volume":"39","author":"Chen","year":"2005","journal-title":"Statistics"},{"issue":"20","key":"10.1016\/j.cam.2026.117463_bib0014","doi-asserted-by":"crossref","first-page":"3260","DOI":"10.3390\/math12203260","article-title":"Robust classification via finite mixtures of matrix variate skew-t distributions","volume":"12","author":"Mahdavi","year":"2024","journal-title":"Mathematics"},{"issue":"2","key":"10.1016\/j.cam.2026.117463_bib0015","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1007\/s00180-022-01290-9","article-title":"Matrix-variate normal mean\u2013variance Birnbaum\u2013Saunders distributions and related mixture models","volume":"39","author":"Tomarchio","year":"2024","journal-title":"Comput. Stat."},{"issue":"3","key":"10.1016\/j.cam.2026.117463_bib0016","first-page":"854","article-title":"Matrix variate skew Laplace distribution","volume":"42","author":"Bulut","year":"2024","journal-title":"SIGMA"},{"key":"10.1016\/j.cam.2026.117463_bib0017","unstructured":"Y. Yurchenko, Matrix variate and tensor variate Laplace distributions, (2021). https:\/\/arxiv.org\/abs\/2104.05669."},{"key":"10.1016\/j.cam.2026.117463_bib0018","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1090\/tpms\/1197","article-title":"Matrix variate generalized asymmetric Laplace distributions","volume":"109","author":"Kozubowski","year":"2023","journal-title":"Theor. Probab. Math. Stat."},{"issue":"1","key":"10.1016\/j.cam.2026.117463_bib0019","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1002\/sta4.143","article-title":"A matrix variate skew-t distribution","volume":"6","author":"Gallaugher","year":"2017","journal-title":"Stat"},{"key":"10.1016\/j.cam.2026.117463_bib0020","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.spl.2018.08.012","article-title":"Three skewed matrix variate distributions","volume":"145","author":"Gallaugher","year":"2019","journal-title":"Stat. Probab. Lett."},{"key":"10.1016\/j.cam.2026.117463_bib0021","series-title":"The Skew-Normal and Related Families","author":"Azzalini","year":"2014"},{"key":"10.1016\/j.cam.2026.117463_bib0022","series-title":"Special Functions: An Introduction to the Classical Functions of Mathematical Physics","author":"Temme","year":"1996"},{"issue":"2","key":"10.1016\/j.cam.2026.117463_bib0023","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1002\/cjs.11246","article-title":"A mixture of generalized hyperbolic distributions","volume":"43","author":"Browne","year":"2015","journal-title":"Can. J. Stat."},{"issue":"2","key":"10.1016\/j.cam.2026.117463_bib0024","first-page":"109","article-title":"Multivariate generalized Laplace distributions and related random fields","volume":"79","author":"Kozubowski","year":"2001","journal-title":"J. Multivar. Anal."},{"key":"10.1016\/j.cam.2026.117463_bib0025","series-title":"The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance","author":"Kotz","year":"2001"},{"key":"10.1016\/j.cam.2026.117463_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmva.2022.105026","article-title":"Robust estimation in multivariate heteroscedastic regression models with autoregressive covariance structures using the EM algorithm","volume":"191","author":"Guney","year":"2022","journal-title":"J. Multivar. Anal."},{"key":"10.1016\/j.cam.2026.117463_bib0027","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmva.2024.105392","article-title":"Multivariate robust linear models for multivariate longitudinal data","volume":"206","author":"Lee","year":"2025","journal-title":"J. Multivar. Anal."},{"key":"10.1016\/j.cam.2026.117463_bib0028","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/j.patcog.2018.02.025","article-title":"Finite mixtures of skewed matrix variate distributions","volume":"80","author":"Gallaugher","year":"2018","journal-title":"Pattern Recognit."},{"key":"10.1016\/j.cam.2026.117463_bib0029","series-title":"Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability","first-page":"281","article-title":"Some methods for classification and analysis of multivariate observations","volume":"1","author":"MacQueen","year":"1967"},{"issue":"1","key":"10.1016\/j.cam.2026.117463_bib0030","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1002\/widm.53","article-title":"Algorithms for hierarchical clustering: an overview","volume":"2","author":"Murtagh","year":"2014","journal-title":"WIREs Data Min. Knowl. Discovery"},{"key":"10.1016\/j.cam.2026.117463_bib0031","series-title":"Accuracy and Stability of Numerical Algorithms","author":"Higham","year":"2002"},{"key":"10.1016\/j.cam.2026.117463_bib0032","series-title":"Finite Mixture Models","author":"McLachlan","year":"2000"},{"issue":"12","key":"10.1016\/j.cam.2026.117463_bib0033","doi-asserted-by":"crossref","first-page":"4302","DOI":"10.1002\/joc.5086","article-title":"WorldClim 2: new 1-km spatial resolution climate surfaces for global land areas","volume":"37","author":"Fick","year":"2017","journal-title":"Int. J. Climatol."},{"key":"10.1016\/j.cam.2026.117463_bib0034","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11222-025-10575-0","article-title":"An EM algorithm for fitting matrix-variate normal distributions on interval-censored and missing data","volume":"35","author":"Lachos","year":"2025","journal-title":"Stat. Comput."}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726001287?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726001287?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,8,11]],"date-time":"2026-08-11T12:14:48Z","timestamp":1786450488000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042726001287"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":34,"alternative-id":["S0377042726001287"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2026.117463","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Finite mixtures of matrix-variate shifted generalized asymmetric Laplace distribution for three-way data","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2026.117463","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"117463"}}