{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T00:55:54Z","timestamp":1771462554563,"version":"3.50.1"},"reference-count":73,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-208535"],"award-info":[{"award-number":["DMS-208535"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-2133244"],"award-info":[{"award-number":["DMS-2133244"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["EPCN-2318977"],"award-info":[{"award-number":["EPCN-2318977"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM\/ASA J. Uncertainty Quantification"],"published-print":{"date-parts":[[2025,3,31]]},"DOI":"10.1137\/23m1618922","type":"journal-article","created":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T08:40:28Z","timestamp":1742373628000},"page":"304-338","source":"Crossref","is-referenced-by-count":3,"title":["Conditional Optimal Transport on Function Spaces"],"prefix":"10.1137","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5053-6223","authenticated-orcid":true,"given":"Bamdad","family":"Hosseini","sequence":"first","affiliation":[{"name":"University of Washington, Seattle, WA, 98195 USA."}]},{"given":"Alexander W.","family":"Hsu","sequence":"additional","affiliation":[{"name":"University of Washington, Seattle, WA, 98195 USA."}]},{"given":"Amirhossein","family":"Taghvaei","sequence":"additional","affiliation":[{"name":"University of Washington, Seattle, WA, 98195 USA."}]}],"member":"351","published-online":{"date-parts":[[2025,3,19]]},"reference":[{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1145\/2566630"},{"key":"ref8","volume-title":"Gradient Flows: In Metric Spaces and in the Space of Probability Measures","author":"Ambrosio L.","year":"2005"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/23M1581546"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-020-09480-x"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2016.12.041"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.3150\/16-BEJ810"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.5802\/smai-jcm.74"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2017.1285773"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-34514-5"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/062"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/S0040585X97981457"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1070\/SM2005v196n03ABEH000882"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-014-0506-3"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/120874850"},{"key":"ref29","first-page":"6859","volume":"35","author":"Bunne C.","year":"2022","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1214\/15-AOS1401"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/080740647"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1214\/13-STS421"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2015.10.008"},{"key":"ref38","first-page":"12955","volume":"34","author":"Daniels M.","year":"2021","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref39","first-page":"29736","volume":"34","author":"Deb N.","year":"2021","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-2022-0106"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1214\/16-AAP1238"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2009.07.004"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-011-9236-8"},{"key":"ref47","volume":"36","author":"Franzese G.","year":"2024","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1137\/19M1251655"},{"key":"ref50","first-page":"1","volume-title":"Advances in Neural Information Processing Systems","volume":"29","author":"Genevay A.","year":"2016"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1214\/21-AOS2136"},{"key":"ref53","volume-title":"Deep Learning","author":"Goodfellow I.","year":"2016"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1145\/3422622"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1214\/09-BA412"},{"key":"ref59","first-page":"4256","volume":"17","author":"Gutmann M. U.","year":"2016","journal-title":"J. Mach. Learn. Res."},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1214\/13-AAP982"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1137\/18M1183017"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1214\/22-AAP1854"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1214\/20-AOS1997"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/30\/11\/114001"},{"key":"ref67","series-title":"Internat. Ser. Oper. Res. Management Sci. 755","volume-title":"Machine Learning: Discriminative and Generative","author":"Jebara T.","year":"2012"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1007\/b138659"},{"key":"ref71","first-page":"21696","volume":"34","author":"Kingma D.","year":"2021","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1028990175"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2020.2992934"},{"key":"ref74","first-page":"1118","volume-title":"Advances in Neural Information Processing Systems","volume":"34","author":"Korotin A.","year":"2021"},{"key":"ref79","author":"Lipman Y.","year":"2022","journal-title":"Flow Matching for Generative Modeling"},{"key":"ref85","doi-asserted-by":"crossref","unstructured":"Y. Marzouk, T. Moselhy, M. Parno, and A. Spantini, Sampling via Measure Transport: An Introduction, Handbook of Uncertainty Quantification, 2016, pp. 1\u201341.","DOI":"10.1007\/978-3-319-11259-6_23-1"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2012.07.022"},{"key":"ref89","volume":"32","author":"Muzellec B.","year":"2019","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref91","first-page":"841","volume-title":"Advances in Neural Information Processing Systems","author":"Ng A. Y.","year":"2002"},{"key":"ref93","volume":"22","author":"Papamakarios G.","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1201\/9781420034813"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1561\/2200000073"},{"key":"ref100","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-24785-9_37"},{"key":"ref101","author":"Rahman M. A.","year":"2022","journal-title":"Trans. Mach. Learn. Res."},{"key":"ref106","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3071-5"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1214\/lnms\/1215459862"},{"key":"ref110","first-page":"4713","volume":"45","author":"Saharia C.","year":"2022","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref111","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-20828-2"},{"key":"ref112","doi-asserted-by":"publisher","DOI":"10.21105\/joss.03982"},{"key":"ref113","doi-asserted-by":"publisher","DOI":"10.1145\/3524456"},{"key":"ref115","doi-asserted-by":"publisher","DOI":"10.1190\/geo2022-0472.1"},{"key":"ref117","first-page":"12438","volume":"33","author":"Song Y.","year":"2020","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref118","doi-asserted-by":"publisher","DOI":"10.1137\/20M1312204"},{"key":"ref119","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/ab6f43"},{"key":"ref120","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492910000061"},{"key":"ref122","first-page":"1","author":"Tong A.","year":"2024","journal-title":"Trans. Mach. Learn. Res."},{"key":"ref125","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71050-9"},{"key":"ref129","doi-asserted-by":"publisher","DOI":"10.1186\/s40323-023-00252-0"},{"key":"ref130","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61859-8"},{"key":"ref131","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-022-09569-2"},{"key":"ref132","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-022-09570-9"},{"key":"ref133","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2018.2889774"},{"key":"ref134","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2021.2016424"}],"container-title":["SIAM\/ASA Journal on Uncertainty Quantification"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T08:40:49Z","timestamp":1742373649000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1618922"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,19]]},"references-count":73,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,3,31]]}},"alternative-id":["10.1137\/23M1618922"],"URL":"https:\/\/doi.org\/10.1137\/23m1618922","relation":{},"ISSN":["2166-2525"],"issn-type":[{"value":"2166-2525","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,3,19]]}}}