{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T09:55:12Z","timestamp":1775814912448,"version":"3.50.1"},"reference-count":83,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T00:00:00Z","timestamp":1759276800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T00:00:00Z","timestamp":1759276800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T00:00:00Z","timestamp":1759276800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T00:00:00Z","timestamp":1759276800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"DOE","award":["DE-SC0021015"],"award-info":[{"award-number":["DE-SC0021015"]}]},{"name":"NSF","award":["IIS 2145499"],"award-info":[{"award-number":["IIS 2145499"]}]},{"name":"NSF","award":["IIS 1910733"],"award-info":[{"award-number":["IIS 1910733"]}]},{"name":"NSF","award":["DMS 2107808"],"award-info":[{"award-number":["DMS 2107808"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Visual. Comput. Graphics"],"published-print":{"date-parts":[[2025,10]]},"DOI":"10.1109\/tvcg.2025.3561300","type":"journal-article","created":{"date-parts":[[2025,4,15]],"date-time":"2025-04-15T13:36:52Z","timestamp":1744724212000},"page":"7951-7969","source":"Crossref","is-referenced-by-count":5,"title":["Flexible and Probabilistic Topology Tracking With Partial Optimal Transport"],"prefix":"10.1109","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0355-1919","authenticated-orcid":false,"given":"Mingzhe","family":"Li","sequence":"first","affiliation":[{"name":"University of Utah, Salt Lake City, UT, USA"}]},{"given":"Xinyuan","family":"Yan","sequence":"additional","affiliation":[{"name":"University of Utah, Salt Lake City, UT, USA"}]},{"given":"Lin","family":"Yan","sequence":"additional","affiliation":[{"name":"Iowa State University, Ames, IA, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6165-3433","authenticated-orcid":false,"given":"Tom","family":"Needham","sequence":"additional","affiliation":[{"name":"Florida State University, Tallahassee, FL, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9240-0700","authenticated-orcid":false,"given":"Bei","family":"Wang","sequence":"additional","affiliation":[{"name":"University of Utah, Salt Lake City, UT, USA"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2010.253"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-83500-2_5"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1186\/s40668-016-0017-2"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12933"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.14331"},{"key":"ref6","first-page":"81","article-title":"On the use of Gromov-Hausdorff distances for shape comparison","volume-title":"Proc. Eurograph. Symp. Point-Based Graph.","author":"M\u00e9moli"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-011-9093-5"},{"key":"ref8","first-page":"2664","article-title":"Gromov-Wasserstein averaging of kernel and distance matrices","volume-title":"Proc. 33rd Int. Conf. Mach. Learn.","author":"Peyr\u00e9"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iaz026"},{"key":"ref10","first-page":"6932","article-title":"Gromov-Wasserstein learning for graph matching and node embedding","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Xu"},{"key":"ref11","first-page":"3052","article-title":"Scalable Gromov-Wasserstein learning for graph partitioning and matching","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Xu"},{"key":"ref12","first-page":"712","article-title":"Generalized spectral clustering via Gromov-Wasserstein learning","volume-title":"Proc. Int. Conf. Artif. Intell. Statist.","author":"Chowdhury"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.18653\/v1\/D18-1214"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1089\/cmb.2021.0446"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1090\/memo\/1443"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/CVPRW50498.2020.00429"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TopoInVis60193.2023.00013"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s41468-022-00089-3"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s44007-024-00143-9"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-023-00583-0"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.3390\/a13090212"},{"key":"ref22","first-page":"2903","article-title":"Partial optimal transport with applications on positive-unlabeled learning","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Chapel"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1145\/2582112.2582169"},{"key":"ref24","article-title":"Interleaving distance between merge trees","volume-title":"Proc. Topology-Based Methods Visualization","author":"Morozov","year":"2013"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-016-9763-9"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1145\/3185466"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-020-09488-3"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-016-9758-6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2022.3209395"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-04099-8_10"},{"key":"ref31","article-title":"REEB graph metrics from the ground up","author":"Bollen","year":"2022"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2003.00723.x"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.14037"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/LDAV.2018.8739196"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/LDAV48142.2019.8944365"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2021.3114839"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2022.3163349"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.13164"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2019.2934368"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.13163"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-43036-8_10"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/s41468-020-00061-z"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/2.35197"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/VISUAL.1990.146359"},{"key":"ref45","first-page":"447","article-title":"Tracking closed streamlines in time dependent planar flows","volume-title":"Proc. Vis. Model. Visual. Conf.","author":"Wischgoll"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7091-6215-6_13"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/S0097-8493(02)00056-0"},{"key":"ref48","first-page":"141","article-title":"Feature flow fields","volume-title":"Proc. Symp. Data Vis.","author":"Theisel"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2010.93"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2011.269"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/AMM.869.9"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/LDAV.2012.6378962"},{"key":"ref53","article-title":"Using Gromov-Wasserstein distance to explore sets of networks","volume":"2","author":"Hendrikson","year":"2016"},{"key":"ref54","first-page":"6275","article-title":"Optimal transport for structured data with application on graphs","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Vayer"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-008-0212-7"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1137\/141000439"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3303"},{"key":"ref58","first-page":"21792","article-title":"Aligning individual brains with fused unbalanced Gromov Wasserstein","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Thual"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1002\/nav.3800030109"},{"issue":"78","key":"ref60","first-page":"1","article-title":"POT: Python optimal transport","volume":"22","author":"Flamary","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2017.2743938"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1109\/LDAV.2017.8231846"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2020.3030353"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-002-2885-2"},{"key":"ref65","article-title":"Wasserstein stability for persistence diagrams","author":"Skraba","year":"2020"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-006-1276-5"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2009.01516.x"},{"issue":"6","key":"ref68","article-title":"Free computational fluid dynamics","volume-title":"ClusterWorld","volume":"2","author":"Popinet","year":"2004"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1145\/3072959.3073684"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1063\/1.165960"},{"key":"ref71","article-title":"Computer graphics laboratory research visualization data","author":"G\u00fcnther"},{"key":"ref72","article-title":"The IEEE SciVis contest","author":"Whalen","year":"2008"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1086\/524400"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1175\/JAMC-D-11-0108.1"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1029\/2024GL108889"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1016\/j.solener.2018.10.079"},{"key":"ref77","article-title":"Hurricane Isabel WRF model data visualization","author":"Kuo"},{"key":"ref78","article-title":"The IEEE SciVis contest","author":"Geveci","year":"2016"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2010.213"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1007\/s00791-015-0241-3"},{"key":"ref81","article-title":"The merge tree library (mtlib)","author":"Saikia"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012387582-2\/50038-1"},{"key":"ref83","volume-title":"The Visualization Toolkit","author":"Schroeder","year":"2006"}],"container-title":["IEEE Transactions on Visualization and Computer Graphics"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/2945\/11151252\/10965933-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/2945\/11151252\/10965933.pdf?arnumber=10965933","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T06:58:56Z","timestamp":1757055536000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10965933\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10]]},"references-count":83,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/tvcg.2025.3561300","relation":{},"ISSN":["1077-2626","1941-0506","2160-9306"],"issn-type":[{"value":"1077-2626","type":"print"},{"value":"1941-0506","type":"electronic"},{"value":"2160-9306","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10]]}}}