{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T08:42:07Z","timestamp":1772872927823,"version":"3.50.1"},"reference-count":28,"publisher":"Informa UK Limited","issue":"2","funder":[{"name":"NSERC Grant","award":["RGPIN-2019-04419"],"award-info":[{"award-number":["RGPIN-2019-04419"]}]},{"name":"Data Sciences Institute"},{"DOI":"10.13039\/501100003579","name":"University of Toronto","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003579","id-type":"DOI","asserted-by":"publisher"}]},{"name":"NSERC Alexander Graham Bell Canada Graduate Scholarship","award":["CGSD3-535625-2019"],"award-info":[{"award-number":["CGSD3-535625-2019"]}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Graphical Statistics"],"published-print":{"date-parts":[[2025,4,3]]},"DOI":"10.1080\/10618600.2024.2402280","type":"journal-article","created":{"date-parts":[[2024,9,12]],"date-time":"2024-09-12T17:03:39Z","timestamp":1726160619000},"page":"540-551","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":2,"title":["Efficient Convex PCA with Applications to Wasserstein GPCA and Ranked Data"],"prefix":"10.1080","volume":"34","author":[{"given":"Steven","family":"Campbell","sequence":"first","affiliation":[{"name":"Department of Statistics, Columbia University","place":["New York"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ting-Kam Leonard","family":"Wong","sequence":"additional","affiliation":[{"name":"Department of Statistical Sciences, University of Toronto","place":["Toronto, Canada"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2024,10,31]]},"reference":[{"key":"e_1_3_4_2_1","doi-asserted-by":"publisher","DOI":"10.3905\/jpm.2011.38.1.048"},{"key":"e_1_3_4_3_1","doi-asserted-by":"publisher","DOI":"10.1137\/100805741"},{"key":"e_1_3_4_4_1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-economics-080315-015356"},{"key":"e_1_3_4_5_1","doi-asserted-by":"publisher","DOI":"10.1214\/105051605000000449"},{"key":"e_1_3_4_6_1","doi-asserted-by":"crossref","unstructured":"Beraha M. and Pegoraro M. (2023) \u201cWasserstein Principal Component Analysis for Circular Measures \u201d arXiv preprint arXiv:2304.02402.","DOI":"10.1007\/s11222-024-10473-x"},{"key":"e_1_3_4_7_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/15-AIHP706","article-title":"\u201cGeodesic PCA in the Wasserstein Space by Convex PCA,\u201d","volume":"53","author":"Bigot J.","year":"2017","unstructured":"Bigot, J., Gouet, R., Klein, T., and L\u00f3pez, A. (2017), \u201cGeodesic PCA in the Wasserstein Space by Convex PCA,\u201d Annales de l\u2019Institut Henri Poincar\u00e9, Probabilit\u00e9s et Statistiques, 53, 1\u201326.","journal-title":"Annales de l\u2019Institut Henri Poincar\u00e9, Probabilit\u00e9s et Statistiques"},{"key":"e_1_3_4_8_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"e_1_3_4_9_1","first-page":"1110","article-title":"\u201cThe Approximation of Convex Sets by Polyhedra,\u201d","volume":"16","author":"Bronshtein E. M.","year":"1975","unstructured":"Bronshtein, E. M., and Ivanov, L. D. (1975), \u201cThe Approximation of Convex Sets by Polyhedra,\u201d Sibirskii matematicheskii zhurnal, 16, 1110\u20131112.","journal-title":"Sibirskii matematicheskii zhurnal"},{"key":"e_1_3_4_10_1","doi-asserted-by":"publisher","DOI":"10.1137\/21M1417715"},{"key":"e_1_3_4_11_1","doi-asserted-by":"publisher","DOI":"10.1137\/17M1143459"},{"key":"e_1_3_4_12_1","unstructured":"Center for Research in Security Prices (CRSP). (2021) \u201cCRSP US Stock Database \u201d available at http:\/\/www.crsp.org\/products\/research-products\/crsp-us-stock-databases."},{"key":"e_1_3_4_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2021.1956937"},{"key":"e_1_3_4_14_1","doi-asserted-by":"crossref","unstructured":"Chewi S. Niles-Weed J. and Rigollet P. (2024) \u201cStatistical Optimal Transport \u201d arXiv preprint arXiv:2407.18163.","DOI":"10.1007\/978-3-031-85160-5"},{"key":"e_1_3_4_15_1","doi-asserted-by":"publisher","DOI":"10.1080\/713665670"},{"key":"e_1_3_4_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10114-005-0678-2"},{"key":"e_1_3_4_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3699-1"},{"key":"e_1_3_4_18_1","doi-asserted-by":"publisher","DOI":"10.3905\/jpm.24.2.74"},{"key":"e_1_3_4_19_1","unstructured":"Itkin D. and Larsson M. (2021) \u201cOpen Markets and Hybrid Jacobi Processes \u201d arXiv preprint arXiv:2110.14046."},{"key":"e_1_3_4_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2011.06.009"},{"key":"e_1_3_4_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jet.2021.105309"},{"key":"e_1_3_4_22_1","doi-asserted-by":"publisher","DOI":"10.1006\/aima.1997.1634"},{"key":"e_1_3_4_23_1","doi-asserted-by":"crossref","unstructured":"Okano R. and Imaizumi M. (2024) \u201cWasserstein k-Centres Clustering for Distributional Data \u201d arXiv preprint arXiv:2407.08228.","DOI":"10.1007\/s11222-025-10662-2"},{"key":"e_1_3_4_24_1","first-page":"1","article-title":"\u201cProjected Statistical Methods for Distributional Data on the Real Line with the Wasserstein Metric,\u201d","volume":"23","author":"Pegoraro M.","year":"2022","unstructured":"Pegoraro, M., and Beraha, M. (2022), \u201cProjected Statistical Methods for Distributional Data on the Real Line with the Wasserstein Metric,\u201d Journal of Machine Learning Research, 23, 1\u201359.","journal-title":"Journal of Machine Learning Research"},{"key":"e_1_3_4_25_1","doi-asserted-by":"publisher","DOI":"10.1561\/2200000073"},{"key":"e_1_3_4_26_1","doi-asserted-by":"publisher","DOI":"10.1137\/19M1282313"},{"key":"e_1_3_4_27_1","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/13.2.149"},{"key":"e_1_3_4_28_1","volume-title":"Optimal Transport: Old and New","author":"Villani C.","year":"2008","unstructured":"Villani, C. (2008), Optimal Transport: Old and New, Berlin: Springer."},{"key":"e_1_3_4_29_1","doi-asserted-by":"publisher","DOI":"10.1111\/jtsa.12590"}],"container-title":["Journal of Computational and Graphical Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10618600.2024.2402280","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T16:09:46Z","timestamp":1772813386000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10618600.2024.2402280"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,31]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,4,3]]}},"alternative-id":["10.1080\/10618600.2024.2402280"],"URL":"https:\/\/doi.org\/10.1080\/10618600.2024.2402280","relation":{},"ISSN":["1061-8600","1537-2715"],"issn-type":[{"value":"1061-8600","type":"print"},{"value":"1537-2715","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,31]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=ucgs20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=ucgs20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2023-08-14","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-08-28","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-10-31","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}