{"id":"https://openalex.org/W4285291536","doi":"https://doi.org/10.1109/tsmc.2022.3186546","title":"Local Model-Based Pareto Front Estimation for Multiobjective Optimization","display_name":"Local Model-Based Pareto Front Estimation for Multiobjective Optimization","publication_year":2022,"publication_date":"2022-07-07","ids":{"openalex":"https://openalex.org/W4285291536","doi":"https://doi.org/10.1109/tsmc.2022.3186546"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2022.3186546","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3186546","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5058755242","display_name":"Ye Tian","orcid":"https://orcid.org/0000-0002-3487-5126"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ye Tian","raw_affiliation_strings":["Information Materials and Intelligent Sensing Laboratory of Anhui Province, Institutes of Physical Science and Information Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Information Materials and Intelligent Sensing Laboratory of Anhui Province, Institutes of Physical Science and Information Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032914795","display_name":"Langchun Si","orcid":"https://orcid.org/0009-0009-0476-7552"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Langchun Si","raw_affiliation_strings":["School of Computer Science and Technology, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028634381","display_name":"Xingyi Zhang","orcid":"https://orcid.org/0000-0002-5052-000X"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingyi Zhang","raw_affiliation_strings":["School of Artificial Intelligence, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","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, Hung Hom, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Computing, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032314861","display_name":"Yaochu Jin","orcid":"https://orcid.org/0000-0003-1100-0631"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yaochu Jin","raw_affiliation_strings":["Faculty of Technology, Bielefeld University, Bielefeld, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Technology, Bielefeld University, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058755242"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":11.1639,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.98919764,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"53","issue":"1","first_page":"623","last_page":"634"},"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":0.9900000095367432,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.7063647508621216},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.658856213092804},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6557371616363525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5438460111618042},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.5220763087272644},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5216667652130127},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4961312711238861},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4404798448085785},{"id":"https://openalex.org/keywords/estimation-of-distribution-algorithm","display_name":"Estimation of distribution algorithm","score":0.4395638704299927},{"id":"https://openalex.org/keywords/fitness-function","display_name":"Fitness function","score":0.4269680380821228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36165469884872437},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.1938827931880951}],"concepts":[{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.7063647508621216},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.658856213092804},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6557371616363525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5438460111618042},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.5220763087272644},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5216667652130127},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4961312711238861},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4404798448085785},{"id":"https://openalex.org/C162500139","wikidata":"https://www.wikidata.org/wiki/Q2835887","display_name":"Estimation of distribution algorithm","level":2,"score":0.4395638704299927},{"id":"https://openalex.org/C176066374","wikidata":"https://www.wikidata.org/wiki/Q629118","display_name":"Fitness function","level":3,"score":0.4269680380821228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36165469884872437},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.1938827931880951},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsmc.2022.3186546","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3186546","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},{"id":"pmh:oai:pub.uni-bielefeld.de:2964655","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2964655","pdf_url":null,"source":{"id":"https://openalex.org/S4306401670","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2004334719","display_name":null,"funder_award_id":"61906001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/G2757623951","display_name":null,"funder_award_id":"U21A20512","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3425444037","display_name":null,"funder_award_id":"2018AAA0100100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4384829933","display_name":null,"funder_award_id":"PolyU11211521","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G800914696","display_name":null,"funder_award_id":"62136008","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"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1488494358","https://openalex.org/W1522538275","https://openalex.org/W1553373771","https://openalex.org/W1588375755","https://openalex.org/W1595498733","https://openalex.org/W1607104331","https://openalex.org/W1673310716","https://openalex.org/W1833634424","https://openalex.org/W1967157470","https://openalex.org/W1985357653","https://openalex.org/W2005399685","https://openalex.org/W2018344446","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2058142975","https://openalex.org/W2082715888","https://openalex.org/W2085507535","https://openalex.org/W2093966662","https://openalex.org/W2098907614","https://openalex.org/W2102365077","https://openalex.org/W2103476212","https://openalex.org/W2108968575","https://openalex.org/W2116961716","https://openalex.org/W2125899728","https://openalex.org/W2126105956","https://openalex.org/W2139196352","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2153654820","https://openalex.org/W2183043622","https://openalex.org/W2236623899","https://openalex.org/W2276739600","https://openalex.org/W2343601797","https://openalex.org/W2466060750","https://openalex.org/W2558581367","https://openalex.org/W2599937626","https://openalex.org/W2738689687","https://openalex.org/W2750985671","https://openalex.org/W2751605210","https://openalex.org/W2764251381","https://openalex.org/W2806920391","https://openalex.org/W2819774736","https://openalex.org/W2888338796","https://openalex.org/W2897783557","https://openalex.org/W2906115061","https://openalex.org/W2953848868","https://openalex.org/W2963753818","https://openalex.org/W2997377643","https://openalex.org/W3101214305","https://openalex.org/W3138813619","https://openalex.org/W3201929238","https://openalex.org/W4302557773","https://openalex.org/W6631460888","https://openalex.org/W6637131181","https://openalex.org/W6646765998"],"related_works":["https://openalex.org/W79495104","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2550292406","https://openalex.org/W1606502848","https://openalex.org/W2132657523","https://openalex.org/W1571925721","https://openalex.org/W2744730182","https://openalex.org/W3134440233"],"abstract_inverted_index":{"The":[0],"Pareto":[1],"front":[2],"(PF)":[3],"estimation":[4,32,77,156],"has":[5],"become":[6],"an":[7],"emerging":[8],"strategy":[9],"for":[10,115],"solving":[11],"multiobjective":[12],"optimization":[13],"problems":[14,189],"in":[15,40,53],"recent":[16],"studies.":[17],"By":[18],"approximating":[19],"the":[20,24,27,42,89,100,105,123,129,133,138,152,177,184],"geometrical":[21,58,142],"structure":[22],"of":[23,45,118,122,125,131],"PF":[25,31,76,90,155],"during":[26],"evolutionary":[28,46,145,168],"procedure,":[29],"some":[30],"approaches":[33,50,87],"have":[34],"been":[35],"suggested":[36],"and":[37,110,158,163],"shown":[38],"effectiveness":[39],"guiding":[41],"search":[43],"direction":[44],"algorithms.":[47],"However,":[48],"these":[49],"encounter":[51],"difficulties":[52],"handling":[54],"irregular":[55,192],"PFs,":[56],"whose":[57],"structures":[59],"are":[60],"too":[61],"complex":[62,141],"to":[63,85],"be":[64],"properly":[65],"approximated.":[66],"To":[67],"address":[68],"this":[69,71],"issue,":[70],"article":[72],"proposes":[73],"a":[74,92,97,112,159],"novel":[75,160],"approach":[78,102,157],"based":[79,150],"on":[80,151,170,188],"local":[81,113,127,134,153],"models.":[82],"In":[83,120],"contrast":[84],"existing":[86],"estimating":[88],"via":[91],"reference":[93],"point":[94],"set":[95],"or":[96],"single":[98],"model,":[99,128],"proposed":[101,178],"automatically":[103],"divides":[104],"population":[106],"into":[107],"several":[108],"groups":[109],"builds":[111],"model":[114],"each":[116,126],"group":[117],"solutions.":[119],"spite":[121],"simplicity":[124],"combination":[130],"all":[132],"models":[135],"can":[136],"approximate":[137],"PFs":[139],"with":[140,166,190],"structures.":[143],"An":[144],"algorithm":[146,179],"is":[147,164],"then":[148],"developed":[149],"model-based":[154],"fitness":[161],"function":[162],"compared":[165,185],"four":[167],"algorithms":[169],"39":[171],"problems.":[172],"Statistical":[173],"results":[174],"indicate":[175],"that":[176],"exhibits":[180],"better":[181],"performance":[182],"than":[183],"algorithms,":[186],"especially":[187],"highly":[191],"PFs.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":28},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}