{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T00:49:40Z","timestamp":1773967780951,"version":"3.50.1"},"reference-count":27,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2027,1,6]],"date-time":"2027-01-06T00:00:00Z","timestamp":1799193600000},"content-version":"am","delay-in-days":311,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T00:00:00Z","timestamp":1772323200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2306672"],"award-info":[{"award-number":["DMS-2306672"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100019179","name":"Fundaci\u00f3n La Caixa","doi-asserted-by":"publisher","award":["LCF\/BQ\/EU23\/12010097"],"award-info":[{"award-number":["LCF\/BQ\/EU23\/12010097"]}],"id":[{"id":"10.13039\/501100019179","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100013721","name":"Real Colegio Complutense","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100013721","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007229","name":"Harvard University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007229","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100008162","name":"Fu Foundation School of Engineering and Applied Science","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100008162","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Advances in Applied Mathematics"],"published-print":{"date-parts":[[2026,3]]},"DOI":"10.1016\/j.aam.2025.103024","type":"journal-article","created":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T13:45:09Z","timestamp":1767707109000},"page":"103024","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Toric multivariate Gaussian models from symmetries in a tree"],"prefix":"10.1016","volume":"174","author":[{"given":"Emma","family":"Cardwell","sequence":"first","affiliation":[]},{"given":"Aida","family":"Maraj","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0008-5738-673X","authenticated-orcid":false,"given":"\u00c1lvaro","family":"Ribot","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.aam.2025.103024_br0010","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.tranpol.2016.09.004","article-title":"Operational and financial performance of Italian airport companies: a dynamic graphical model","volume":"52","author":"Abbruzzo","year":"2016","journal-title":"Transp. Policy"},{"key":"10.1016\/j.aam.2025.103024_br0020","series-title":"Multivariate Analysis","author":"Bibby","year":"1979"},{"issue":"2","key":"10.1016\/j.aam.2025.103024_br0030","first-page":"383","article-title":"Reciprocal maximum likelihood degrees of Brownian motion tree models","volume":"76","author":"Boege","year":"2021","journal-title":"Matematiche"},{"issue":"7369","key":"10.1016\/j.aam.2025.103024_br0040","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1038\/nature10532","article-title":"The evolution of gene expression levels in mammalian organs","volume":"478","author":"Brawand","year":"2011","journal-title":"Nature"},{"issue":"1","key":"10.1016\/j.aam.2025.103024_br0050","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1137\/21M1466943","article-title":"Symmetrically colored Gaussian graphical models with toric vanishing ideals","volume":"7","author":"Coons","year":"2023","journal-title":"SIAM J. Appl. Algebra Geom."},{"key":"10.1016\/j.aam.2025.103024_br0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.jsc.2025.102482","article-title":"ML degrees of Brownian motion tree models: star trees and root invariance","volume":"132","author":"Coons","year":"2026","journal-title":"J. Symb. Comput."},{"issue":"6","key":"10.1016\/j.aam.2025.103024_br0070","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1086\/652466","article-title":"Body size evolution in mammals: complexity in tempo and mode","volume":"175","author":"Cooper","year":"2010","journal-title":"Am. Nat."},{"issue":"2","key":"10.1016\/j.aam.2025.103024_br0080","first-page":"501","article-title":"Coloured graphical models and their symmetries","volume":"76","author":"Davies","year":"2021","journal-title":"Matematiche"},{"issue":"1","key":"10.1016\/j.aam.2025.103024_br0090","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1215\/S0012-7094-96-08401-X","article-title":"Binomial ideals","volume":"84","author":"Eisenbud","year":"1996","journal-title":"Duke Math. J."},{"key":"10.1016\/j.aam.2025.103024_br0100","series-title":"2010 Proceedings IEEE INFOCOM","first-page":"1","article-title":"Toward the practical use of network tomography for Internet topology discovery","author":"Eriksson","year":"2010"},{"issue":"5","key":"10.1016\/j.aam.2025.103024_br0110","first-page":"471","article-title":"Maximum-likelihood estimation of evolutionary trees from continuous characters","volume":"25","author":"Felsenstein","year":"1973","journal-title":"Am. J. Hum. Genet."},{"issue":"11","key":"10.1016\/j.aam.2025.103024_br0120","doi-asserted-by":"crossref","first-page":"e373","DOI":"10.1371\/journal.pbio.0040373","article-title":"Detecting non-Brownian trait evolution in adaptive radiations","volume":"4","author":"Freckleton","year":"2006","journal-title":"PLoS Biol."},{"key":"10.1016\/j.aam.2025.103024_br0130","author":"Grayson"},{"issue":"5","key":"10.1016\/j.aam.2025.103024_br0140","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1111\/j.1467-9868.2008.00666.x","article-title":"Graphical Gaussian models with edge and vertex symmetries","volume":"70","author":"H\u00f8jsgaard","year":"2008","journal-title":"J. R. Stat. Soc., Ser. B Stat. Methodol."},{"issue":"1","key":"10.1016\/j.aam.2025.103024_br0150","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1214\/aos\/1176350707","article-title":"Covariance hypotheses which are linear in both the covariance and the inverse covariance","volume":"16","author":"Jensen","year":"1988","journal-title":"Ann. Stat."},{"issue":"4","key":"10.1016\/j.aam.2025.103024_br0160","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1137\/24M168948X","article-title":"Efficiently deciding if an ideal is toric after a linear coordinate change","volume":"9","author":"Kahle","year":"2025","journal-title":"SIAM J. Appl. Algebra Geom."},{"issue":"2","key":"10.1016\/j.aam.2025.103024_br0170","doi-asserted-by":"crossref","first-page":"3969","DOI":"10.1214\/23-EJS2192","article-title":"Symmetries in directed Gaussian graphical models","volume":"17","author":"Makam","year":"2023","journal-title":"Electron. J. Stat."},{"issue":"4","key":"10.1016\/j.aam.2025.103024_br0180","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1007\/s10463-020-00765-0","article-title":"Gaussian graphical models with toric vanishing ideals","volume":"73","author":"Misra","year":"2021","journal-title":"Ann. Inst. Stat. Math."},{"issue":"10","key":"10.1016\/j.aam.2025.103024_br0190","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1003255","article-title":"Inferring evolutionary histories of pathway regulation from transcriptional profiling data","volume":"9","author":"Schraiber","year":"2013","journal-title":"PLoS Comput. Biol."},{"issue":"1","key":"10.1016\/j.aam.2025.103024_br0200","doi-asserted-by":"crossref","first-page":"31","DOI":"10.2140\/astat.2020.11.31","article-title":"Estimating linear covariance models with numerical nonlinear algebra","volume":"11","author":"Sturmfels","year":"2020","journal-title":"J. Algebr. Stat."},{"issue":"6","key":"10.1016\/j.aam.2025.103024_br0210","first-page":"1154","article-title":"Brownian motion tree models are toric","volume":"56","author":"Sturmfels","year":"2020","journal-title":"Kybernetika (Prague)"},{"issue":"2","key":"10.1016\/j.aam.2025.103024_br0220","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1093\/bioinformatics\/18.2.287","article-title":"Inference of a genetic network by a combined approach of cluster analysis and graphical Gaussian modeling","volume":"18","author":"Toh","year":"2002","journal-title":"Bioinformatics"},{"key":"10.1016\/j.aam.2025.103024_br0230","author":"Truell"},{"key":"10.1016\/j.aam.2025.103024_br0240","series-title":"Proceedings of the 4th ACM SIGCOMM Conference on Internet Measurement","first-page":"175","article-title":"Network radar: tomography from round trip time measurements","author":"Tsang","year":"2004"},{"key":"10.1016\/j.aam.2025.103024_br0250","series-title":"Geometry of maximum likelihood estimation in Gaussian graphical models","author":"Uhler","year":"2011"},{"issue":"3","key":"10.1016\/j.aam.2025.103024_br0260","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1515\/sagmb-2014-0075","article-title":"Model selection for factorial Gaussian graphical models with an application to dynamic regulatory networks","volume":"15","author":"Vinciotti","year":"2016","journal-title":"Stat. Appl. Genet. Mol. Biol."},{"issue":"1","key":"10.1016\/j.aam.2025.103024_br0270","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1017\/nws.2015.2","article-title":"Factorial graphical models for dynamic networks","volume":"3","author":"Ernst","year":"2015","journal-title":"Netw. Sci."}],"container-title":["Advances in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885825001861?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885825001861?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T22:56:47Z","timestamp":1773961007000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0196885825001861"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,3]]},"references-count":27,"alternative-id":["S0196885825001861"],"URL":"https:\/\/doi.org\/10.1016\/j.aam.2025.103024","relation":{},"ISSN":["0196-8858"],"issn-type":[{"value":"0196-8858","type":"print"}],"subject":[],"published":{"date-parts":[[2026,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Toric multivariate Gaussian models from symmetries in a tree","name":"articletitle","label":"Article Title"},{"value":"Advances in Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.aam.2025.103024","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"103024"}}