{"id":"https://openalex.org/W3216097587","doi":"https://doi.org/10.1109/tcyb.2021.3126341","title":"Choose Appropriate Subproblems for Collaborative Modeling in Expensive Multiobjective Optimization","display_name":"Choose Appropriate Subproblems for Collaborative Modeling in Expensive Multiobjective Optimization","publication_year":2021,"publication_date":"2021-11-24","ids":{"openalex":"https://openalex.org/W3216097587","doi":"https://doi.org/10.1109/tcyb.2021.3126341","mag":"3216097587","pmid":"https://pubmed.ncbi.nlm.nih.gov/34818203"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3126341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3126341","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5064608174","display_name":"Zhenkun Wang","orcid":"https://orcid.org/0000-0003-1152-6780"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenkun Wang","raw_affiliation_strings":["Department of Computer Science and Engineering, School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0003-1152-6780","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000546219","display_name":"Qingfu Zhang","orcid":"https://orcid.org/0000-0003-0786-0671"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]},{"id":"https://openalex.org/I4210105229","display_name":"City University of Hong Kong, Shenzhen Research Institute","ror":"https://ror.org/00xc0ma20","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210105229"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Qingfu Zhang","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong","Shenzhen Research Institute, City University of Hong Kong, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Shenzhen Research Institute, City University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I168719708","https://openalex.org/I4210105229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068243197","display_name":"Yew-Soon Ong","orcid":"https://orcid.org/0000-0002-4480-169X"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yew-Soon Ong","raw_affiliation_strings":["Data Science and Artificial Intelligence Research Centre, School of Computer Science and Engineering, Nanyang Technological University, Singapore","Agency for Science, Technology and Research, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-4480-169X","affiliations":[{"raw_affiliation_string":"Data Science and Artificial Intelligence Research Centre, School of Computer Science and Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Agency for Science, Technology and Research, Singapore","institution_ids":["https://openalex.org/I115228651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103082616","display_name":"Shunyu Yao","orcid":"https://orcid.org/0000-0003-0427-2217"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shunyu Yao","raw_affiliation_strings":["School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100413179","display_name":"Haitao Liu","orcid":"https://orcid.org/0000-0003-1187-5374"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haitao Liu","raw_affiliation_strings":["School of Energy and Power Engineering, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0003-1187-5374","affiliations":[{"raw_affiliation_string":"School of Energy and Power Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036758972","display_name":"Jianping Luo","orcid":"https://orcid.org/0000-0002-9777-1543"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianping Luo","raw_affiliation_strings":["College of Information Engineering, Shenzhen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-9777-1543","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.1759,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.98034898,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"53","issue":"1","first_page":"483","last_page":"496"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.710551381111145},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6821764707565308},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6410543918609619},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6037723422050476},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5032879710197449},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4384799301624298},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4254830777645111},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.21694731712341309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1772443950176239}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.710551381111145},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6821764707565308},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6410543918609619},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6037723422050476},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5032879710197449},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4384799301624298},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4254830777645111},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21694731712341309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1772443950176239},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3126341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3126341","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:34818203","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34818203","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1636070402","display_name":null,"funder_award_id":"11991023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6667768056","display_name":null,"funder_award_id":"61876163","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G712782853","display_name":null,"funder_award_id":"52005074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7295677115","display_name":null,"funder_award_id":"62076197","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7517811363","display_name":null,"funder_award_id":"DUT19RC(3)070","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W6625593","https://openalex.org/W55912154","https://openalex.org/W78659754","https://openalex.org/W152282416","https://openalex.org/W1507162258","https://openalex.org/W1514363319","https://openalex.org/W1518025915","https://openalex.org/W1528483814","https://openalex.org/W1555684898","https://openalex.org/W1558835275","https://openalex.org/W1589195638","https://openalex.org/W1965772894","https://openalex.org/W1977556410","https://openalex.org/W1983089897","https://openalex.org/W1986130186","https://openalex.org/W1997188340","https://openalex.org/W1999433604","https://openalex.org/W2011174137","https://openalex.org/W2012451526","https://openalex.org/W2048711666","https://openalex.org/W2067923752","https://openalex.org/W2082228576","https://openalex.org/W2096369439","https://openalex.org/W2097464974","https://openalex.org/W2098907614","https://openalex.org/W2105245738","https://openalex.org/W2106334424","https://openalex.org/W2111526171","https://openalex.org/W2136918060","https://openalex.org/W2143381319","https://openalex.org/W2151676061","https://openalex.org/W2154411958","https://openalex.org/W2166739626","https://openalex.org/W2310216366","https://openalex.org/W2336467679","https://openalex.org/W2419109832","https://openalex.org/W2546299924","https://openalex.org/W2582096828","https://openalex.org/W2588203738","https://openalex.org/W2591927365","https://openalex.org/W2604540094","https://openalex.org/W2605726844","https://openalex.org/W2609215372","https://openalex.org/W2616650140","https://openalex.org/W2764251381","https://openalex.org/W2772079570","https://openalex.org/W2773474358","https://openalex.org/W2785722638","https://openalex.org/W2785988364","https://openalex.org/W2791362611","https://openalex.org/W2806543899","https://openalex.org/W2891186800","https://openalex.org/W2894522179","https://openalex.org/W2895700336","https://openalex.org/W2911994132","https://openalex.org/W2982857584","https://openalex.org/W2995997144","https://openalex.org/W3004157659","https://openalex.org/W3008615321","https://openalex.org/W3138369982","https://openalex.org/W4211049957","https://openalex.org/W4254882341","https://openalex.org/W6609450013","https://openalex.org/W6609835690","https://openalex.org/W6631995198","https://openalex.org/W6690827749","https://openalex.org/W6774552830"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2996366161","https://openalex.org/W2142844925","https://openalex.org/W2513211214","https://openalex.org/W4240964608","https://openalex.org/W2085577866","https://openalex.org/W1994436307","https://openalex.org/W2198098822","https://openalex.org/W2022485595"],"abstract_inverted_index":{"In":[0],"dealing":[1],"with":[2,148],"the":[3,51,70,80,84,88,99,173,176,179,183],"expensive":[4,54],"multiobjective":[5,130],"optimization":[6,27,131],"problem,":[7],"some":[8],"algorithms":[9,24],"convert":[10],"it":[11],"into":[12],"a":[13,136],"number":[14],"of":[15,53,157,175],"single-objective":[16],"subproblems":[17,35,44,73],"for":[18,74],"optimization.":[19,55],"At":[20],"each":[21],"iteration,":[22],"these":[23,34,118],"conduct":[25],"surrogate-assisted":[26],"on":[28,42,153],"one":[29],"or":[30,39],"multiple":[31],"subproblems.":[32],"However,":[33],"may":[36,121],"be":[37],"unnecessary":[38],"resolved.":[40],"Operating":[41],"such":[43],"can":[45],"cause":[46,122],"server":[47],"inefficiencies,":[48],"especially":[49],"in":[50,111,129],"case":[52],"To":[56,77],"overcome":[57],"this":[58,112],"shortcoming,":[59],"we":[60,86,134,169],"propose":[61],"an":[62],"adaptive":[63,141],"subproblem":[64],"selection":[65],"(ASS)":[66],"strategy":[67],"to":[68,94,146],"identify":[69],"most":[71],"promising":[72],"further":[75],"modeling.":[76],"better":[78],"leverage":[79],"cross":[81],"information":[82],"between":[83,125],"subproblems,":[85],"use":[87],"collaborative":[89],"multioutput":[90],"Gaussian":[91],"process":[92],"surrogate":[93],"model":[95],"them":[96],"jointly.":[97],"Moreover,":[98],"commonly":[100],"used":[101],"acquisition":[102,119,138,185],"functions":[103,120],"(also":[104],"known":[105],"as":[106],"infill":[107],"criteria)":[108],"are":[109],"investigated":[110],"article.":[113],"Our":[114],"analysis":[115],"reveals":[116],"that":[117,161],"severe":[123],"imbalances":[124],"exploitation":[126],"and":[127,182],"exploration":[128],"scenarios.":[132],"Consequently,":[133],"develop":[135],"new":[137],"function,":[139],"namely,":[140],"lower":[142],"confidence":[143],"bound":[144],"(ALCB),":[145],"cope":[147],"it.":[149],"The":[150],"experimental":[151],"results":[152],"three":[154],"different":[155],"sets":[156],"benchmark":[158],"problems":[159],"indicate":[160],"our":[162],"proposed":[163],"algorithm":[164],"is":[165],"competitive.":[166],"Beyond":[167],"that,":[168],"also":[170],"quantitatively":[171],"validate":[172],"effectiveness":[174],"ASS":[177],"strategy,":[178],"CoMOGP":[180],"model,":[181],"ALCB":[184],"function.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":38},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":4}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}