{"id":"https://openalex.org/W3203245557","doi":"https://doi.org/10.1109/tnnls.2021.3113158","title":"Manifold Interpolation for Large-Scale Multiobjective Optimization via Generative Adversarial Networks","display_name":"Manifold Interpolation for Large-Scale Multiobjective Optimization via Generative Adversarial Networks","publication_year":2021,"publication_date":"2021-09-29","ids":{"openalex":"https://openalex.org/W3203245557","doi":"https://doi.org/10.1109/tnnls.2021.3113158","mag":"3203245557","pmid":"https://pubmed.ncbi.nlm.nih.gov/34587103"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3113158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3113158","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100676555","display_name":"Zhenzhong Wang","orcid":"https://orcid.org/0000-0002-2816-853X"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Zhenzhong Wang","raw_affiliation_strings":["School of Informatics, Xiamen University, Xiamen, China","Department of Computing, The Hong Kong Polytechnic University, Hong Kong","Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Informatics, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Department of Computing, The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025109812","display_name":"Haokai Hong","orcid":"https://orcid.org/0000-0002-3982-8978"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haokai Hong","raw_affiliation_strings":["School of Informatics, Xiamen University, Xiamen, China","Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Informatics, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100420866","display_name":"Kai Ye","orcid":"https://orcid.org/0000-0001-8676-0155"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Ye","raw_affiliation_strings":["School of Informatics, Xiamen University, Xiamen, China","Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Informatics, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056658456","display_name":"Guang-en Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang-En Zhang","raw_affiliation_strings":["School of Informatics, Xiamen University, Xiamen, China","Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Informatics, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017961841","display_name":"Min Jiang","orcid":"https://orcid.org/0000-0003-2946-6974"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Jiang","raw_affiliation_strings":["School of Informatics, Xiamen University, Xiamen, China","Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Informatics, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Key Laboratory of Digital Protection and Intelligent Processing of Intangible Cultural Heritage of Fujian and Taiwan, Ministry of Culture and Tourism, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025285243","display_name":"Kay Chen Tan","orcid":"https://orcid.org/0000-0002-6802-2463"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Kay Chen Tan","raw_affiliation_strings":["Department of Computing, The Hong Kong Polytechnic University, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Computing, The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100676555"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I191208505"],"apc_list":null,"apc_paid":null,"fwci":5.7539,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.9651847,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"34","issue":"8","first_page":"4631","last_page":"4645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7092307806015015},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.673319399356842},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6287714242935181},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.557674765586853},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5528612732887268},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5416254997253418},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5038384795188904},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5008695125579834},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4500270187854767},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4134674370288849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3309134244918823},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29713305830955505},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.15979337692260742},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08416125178337097}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7092307806015015},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.673319399356842},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6287714242935181},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.557674765586853},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5528612732887268},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5416254997253418},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5038384795188904},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5008695125579834},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4500270187854767},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4134674370288849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3309134244918823},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29713305830955505},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.15979337692260742},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08416125178337097},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2021.3113158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3113158","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:34587103","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34587103","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2038157767","display_name":null,"funder_award_id":"61876162","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8030793807","display_name":null,"funder_award_id":"61673328","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":85,"referenced_works":["https://openalex.org/W225560312","https://openalex.org/W1600744878","https://openalex.org/W1932847118","https://openalex.org/W1967157470","https://openalex.org/W1971537182","https://openalex.org/W2044177289","https://openalex.org/W2087812386","https://openalex.org/W2096166399","https://openalex.org/W2098907614","https://openalex.org/W2109820520","https://openalex.org/W2121429049","https://openalex.org/W2126105956","https://openalex.org/W2140886193","https://openalex.org/W2141652735","https://openalex.org/W2143245714","https://openalex.org/W2146543589","https://openalex.org/W2146950091","https://openalex.org/W2150046657","https://openalex.org/W2163534628","https://openalex.org/W2167159964","https://openalex.org/W2329749247","https://openalex.org/W2510493362","https://openalex.org/W2512027896","https://openalex.org/W2513211214","https://openalex.org/W2519536754","https://openalex.org/W2599833102","https://openalex.org/W2616257225","https://openalex.org/W2764251381","https://openalex.org/W2766133347","https://openalex.org/W2772474126","https://openalex.org/W2890643296","https://openalex.org/W2894573160","https://openalex.org/W2895700336","https://openalex.org/W2897208679","https://openalex.org/W2910260183","https://openalex.org/W2914542742","https://openalex.org/W2932748297","https://openalex.org/W2938157874","https://openalex.org/W2946739419","https://openalex.org/W2946991347","https://openalex.org/W2947798591","https://openalex.org/W2962698501","https://openalex.org/W2963418938","https://openalex.org/W2963684088","https://openalex.org/W2964121818","https://openalex.org/W2992827186","https://openalex.org/W2995194170","https://openalex.org/W2998327136","https://openalex.org/W3002387451","https://openalex.org/W3012911890","https://openalex.org/W3021941015","https://openalex.org/W3034431451","https://openalex.org/W3040303671","https://openalex.org/W3083262573","https://openalex.org/W3097875984","https://openalex.org/W3116987230","https://openalex.org/W3119755290","https://openalex.org/W3120951225","https://openalex.org/W3121510528","https://openalex.org/W3127290989","https://openalex.org/W3129342828","https://openalex.org/W3131135472","https://openalex.org/W3133727220","https://openalex.org/W3139163917","https://openalex.org/W3170112077","https://openalex.org/W3201929238","https://openalex.org/W4292864963","https://openalex.org/W4295521014","https://openalex.org/W6608886761","https://openalex.org/W6661475088","https://openalex.org/W6680730347","https://openalex.org/W6685352114","https://openalex.org/W6735127949","https://openalex.org/W6735913928","https://openalex.org/W6752050450","https://openalex.org/W6763491233","https://openalex.org/W6785503201","https://openalex.org/W6788206451","https://openalex.org/W6788564663","https://openalex.org/W6788616744","https://openalex.org/W6790418564","https://openalex.org/W6790679001","https://openalex.org/W6791208279","https://openalex.org/W6791327051","https://openalex.org/W6802045617"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2906115061","https://openalex.org/W2073147994","https://openalex.org/W2977596624","https://openalex.org/W2001591765","https://openalex.org/W4241467429","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2384474142","https://openalex.org/W2022485595"],"abstract_inverted_index":{"Large-scale":[0],"multiobjective":[1,118],"optimization":[2,8,101],"problems":[3,9],"(LSMOPs)":[4],"are":[5],"characterized":[6],"as":[7],"involving":[10],"hundreds":[11],"or":[12],"even":[13],"thousands":[14],"of":[15,30,42,103],"decision":[16],"variables":[17],"and":[18,71,91],"multiple":[19],"conflicting":[20],"objectives.":[21],"To":[22],"solve":[23],"LSMOPs,":[24],"some":[25,56],"algorithms":[26,114],"designed":[27],"a":[28,45,77],"variety":[29],"strategies":[31],"to":[32,87],"track":[33],"Pareto-optimal":[34],"solutions":[35,94],"(POSs)":[36],"by":[37,131],"assuming":[38],"that":[39,125],"the":[40,61,89,96,100,108,132],"distribution":[41],"POSs":[43],"follows":[44],"low-dimensional":[46],"manifold.":[47],"However,":[48],"traditional":[49],"genetic":[50],"operators":[51],"for":[52],"solving":[53,136],"LSMOPs":[54],"have":[55,128],"deficiencies":[57],"in":[58,66,135],"dealing":[59],"with":[60,111],"manifold,":[62,97],"which":[63],"often":[64],"results":[65,123],"poor":[67],"diversity,":[68],"local":[69],"optima,":[70],"inefficient":[72],"searches.":[73],"In":[74],"this":[75],"work,":[76],"generative":[78],"adversarial":[79],"network":[80],"(GAN)-based":[81],"manifold":[82,90],"interpolation":[83],"framework":[84,134],"is":[85],"proposed":[86,109,133],"learn":[88],"generate":[92],"high-quality":[93],"on":[95,115],"thereby":[98],"improving":[99],"performance":[102],"evolutionary":[104],"algorithms.":[105],"We":[106],"compare":[107],"approach":[110],"several":[112],"state-of-the-art":[113],"various":[116],"large-scale":[117],"benchmark":[119],"functions.":[120],"The":[121],"experimental":[122],"demonstrate":[124],"significant":[126],"improvements":[127],"been":[129],"achieved":[130],"LSMOPs.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}