{"id":"https://openalex.org/W4412176889","doi":"https://doi.org/10.1007/s10208-025-09722-w","title":"Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry","display_name":"Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4412176889","doi":"https://doi.org/10.1007/s10208-025-09722-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-025-09722-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-025-09722-w","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101644731","display_name":"Zhengxin Zhang","orcid":"https://orcid.org/0000-0003-0298-2274"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhengxin Zhang","raw_affiliation_strings":["Center for Applied Mathematics, Cornell University, Ithaca, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071112095","display_name":"Ziv Goldfeld","orcid":"https://orcid.org/0000-0003-3406-3950"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ziv Goldfeld","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002525343","display_name":"Kristjan Greenewald","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kristjan Greenewald","raw_affiliation_strings":["MIT-IBM Watson AI Lab; IBM Research, Cambridge, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT-IBM Watson AI Lab; IBM Research, Cambridge, USA","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064636177","display_name":"Youssef Mroueh","orcid":"https://orcid.org/0000-0001-8798-1267"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Youssef Mroueh","raw_affiliation_strings":["IBM TJ Watson Research Center, Yorktown Heights, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM TJ Watson Research Center, Yorktown Heights, New York, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109582233","display_name":"Bharath K. Sriperumbudur","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bharath K. Sriperumbudur","raw_affiliation_strings":["Department of Statistics, Pennsylvania State University, University Park, PA, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Pennsylvania State University, University Park, PA, UK","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101644731"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":4.5443,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.93851559,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"26","issue":"3","first_page":"1911","last_page":"2003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8391101360321045},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5915958285331726},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.573456346988678},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3434036374092102}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8391101360321045},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5915958285331726},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.573456346988678},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3434036374092102}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-025-09722-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-025-09722-w","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1498429448","https://openalex.org/W1511139817","https://openalex.org/W1522579744","https://openalex.org/W1585160083","https://openalex.org/W1606406979","https://openalex.org/W1612648786","https://openalex.org/W1985506636","https://openalex.org/W2000354818","https://openalex.org/W2009172320","https://openalex.org/W2027842533","https://openalex.org/W2054723044","https://openalex.org/W2071048859","https://openalex.org/W2075939902","https://openalex.org/W2099789128","https://openalex.org/W2132883347","https://openalex.org/W2145936352","https://openalex.org/W2246915724","https://openalex.org/W2417433140","https://openalex.org/W2474265885","https://openalex.org/W2511837229","https://openalex.org/W2528005577","https://openalex.org/W2617740248","https://openalex.org/W2745281314","https://openalex.org/W2808624238","https://openalex.org/W2808746463","https://openalex.org/W2909805545","https://openalex.org/W2913214425","https://openalex.org/W2945793051","https://openalex.org/W2952110137","https://openalex.org/W2957602802","https://openalex.org/W2962845984","https://openalex.org/W2963472233","https://openalex.org/W2963830216","https://openalex.org/W2982448168","https://openalex.org/W2990020588","https://openalex.org/W2990138404","https://openalex.org/W2991210238","https://openalex.org/W3012734841","https://openalex.org/W3022227446","https://openalex.org/W3034485607","https://openalex.org/W3036693463","https://openalex.org/W3037544886","https://openalex.org/W3082556740","https://openalex.org/W3084165997","https://openalex.org/W3103801447","https://openalex.org/W3131762332","https://openalex.org/W3169502490","https://openalex.org/W3186981831","https://openalex.org/W3194336931","https://openalex.org/W3215612457","https://openalex.org/W4206471589","https://openalex.org/W4225570392","https://openalex.org/W4248500611","https://openalex.org/W4255839052","https://openalex.org/W4287121175","https://openalex.org/W4289373060","https://openalex.org/W4313679831","https://openalex.org/W4317874910","https://openalex.org/W4322631077","https://openalex.org/W4328028322","https://openalex.org/W4381737425","https://openalex.org/W4388650735","https://openalex.org/W4402775806","https://openalex.org/W4403142246","https://openalex.org/W4405525123"],"related_works":["https://openalex.org/W1776109319","https://openalex.org/W1529148163","https://openalex.org/W4289891351","https://openalex.org/W2494377738","https://openalex.org/W4388322895","https://openalex.org/W1659659148","https://openalex.org/W2162708328","https://openalex.org/W1501513094","https://openalex.org/W2587202202","https://openalex.org/W2963999717"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
