{"id":"https://openalex.org/W3132496834","doi":"https://doi.org/10.1007/s40314-020-01395-1","title":"An inexact PAM method for computing Wasserstein barycenter with unknown supports","display_name":"An inexact PAM method for computing Wasserstein barycenter with unknown supports","publication_year":2021,"publication_date":"2021-02-11","ids":{"openalex":"https://openalex.org/W3132496834","doi":"https://doi.org/10.1007/s40314-020-01395-1","mag":"3132496834"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01395-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01395-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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/A5062859821","display_name":"Yitian Qian","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yitian Qian","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090153413","display_name":"Shaohua Pan","orcid":"https://orcid.org/0000-0002-6261-5268"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaohua Pan","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062859821"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":0.3541,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.52093218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9532999992370605,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.6223087310791016},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6170920133590698},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6127980947494507},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6114434003829956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5938995480537415},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5693497657775879},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5395798683166504},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.4827998876571655},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.47533702850341797},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46931692957878113},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4619237780570984},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4034612774848938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3605138957500458},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13383719325065613},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11473336815834045},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07899075746536255}],"concepts":[{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.6223087310791016},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6170920133590698},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6127980947494507},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6114434003829956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5938995480537415},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5693497657775879},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5395798683166504},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.4827998876571655},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.47533702850341797},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46931692957878113},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4619237780570984},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4034612774848938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3605138957500458},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13383719325065613},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11473336815834045},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07899075746536255},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01395-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01395-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3132854653","display_name":null,"funder_award_id":"11971177","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1540764732","https://openalex.org/W1629559917","https://openalex.org/W1967138577","https://openalex.org/W1968154520","https://openalex.org/W1992841740","https://openalex.org/W2021361347","https://openalex.org/W2027982384","https://openalex.org/W2039050532","https://openalex.org/W2045079045","https://openalex.org/W2050968963","https://openalex.org/W2056145308","https://openalex.org/W2076845236","https://openalex.org/W2078667299","https://openalex.org/W2087544865","https://openalex.org/W2129732816","https://openalex.org/W2143668817","https://openalex.org/W2150695437","https://openalex.org/W2158131535","https://openalex.org/W2163237111","https://openalex.org/W2210084516","https://openalex.org/W2241871771","https://openalex.org/W2244987555","https://openalex.org/W2539033431","https://openalex.org/W2586671485","https://openalex.org/W2775040109","https://openalex.org/W2890430524","https://openalex.org/W2963648037","https://openalex.org/W2963995333","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W6601215536","https://openalex.org/W6601447008"],"related_works":["https://openalex.org/W1657880117","https://openalex.org/W2595172197","https://openalex.org/W2127970246","https://openalex.org/W2084856301","https://openalex.org/W1001352512","https://openalex.org/W4382618745","https://openalex.org/W2885125400","https://openalex.org/W1989889224","https://openalex.org/W2053349965","https://openalex.org/W4293305277"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
