{"id":"https://openalex.org/W4392825793","doi":"https://doi.org/10.1109/tevc.2024.3375751","title":"Learning to Expand/Contract Pareto Sets in Dynamic Multiobjective Optimization With a Changing Number of Objectives","display_name":"Learning to Expand/Contract Pareto Sets in Dynamic Multiobjective Optimization With a Changing Number of Objectives","publication_year":2024,"publication_date":"2024-03-14","ids":{"openalex":"https://openalex.org/W4392825793","doi":"https://doi.org/10.1109/tevc.2024.3375751"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2024.3375751","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2024.3375751","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"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 Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure-oai.bham.ac.uk/ws/files/220704976/paper-final.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088703951","display_name":"Gan Ruan","orcid":"https://orcid.org/0000-0002-9939-354X"},"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"]},{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Gan Ruan","raw_affiliation_strings":["CERCIA, School of Computer Science, University of Birmingham, Birmingham, U.K","Department of Computer Science and Engineering, Southern University of Science and Technology (SUSTech), Shenzhen, China","CERCIA, School of Computer Science, University of Birmingham, Birmingham, UK"],"raw_orcid":"https://orcid.org/0000-0002-9939-354X","affiliations":[{"raw_affiliation_string":"CERCIA, School of Computer Science, University of Birmingham, Birmingham, U.K","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Southern University of Science and Technology (SUSTech), Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"CERCIA, School of Computer Science, University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064089961","display_name":"Leandro L. Minku","orcid":"https://orcid.org/0000-0002-2639-0671"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Leandro L. Minku","raw_affiliation_strings":["CERCIA, School of Computer Science, University of Birmingham, Birmingham, U.K","CERCIA, School of Computer Science, University of Birmingham, Birmingham, UK"],"raw_orcid":"https://orcid.org/0000-0002-2639-0671","affiliations":[{"raw_affiliation_string":"CERCIA, School of Computer Science, University of Birmingham, Birmingham, U.K","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"CERCIA, School of Computer Science, University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012167116","display_name":"Stefan Menzel","orcid":"https://orcid.org/0000-0001-7594-2308"},"institutions":[{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Menzel","raw_affiliation_strings":["Honda Research Institute Europe GmbH, Offenbach, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7594-2308","affiliations":[{"raw_affiliation_string":"Honda Research Institute Europe GmbH, Offenbach, Germany","institution_ids":["https://openalex.org/I4210112253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066418464","display_name":"Bernhard Sendhoff","orcid":"https://orcid.org/0000-0002-1233-9584"},"institutions":[{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Sendhoff","raw_affiliation_strings":["Honda Research Institute Europe GmbH, Offenbach, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1233-9584","affiliations":[{"raw_affiliation_string":"Honda Research Institute Europe GmbH, Offenbach, Germany","institution_ids":["https://openalex.org/I4210112253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635494","display_name":"Xin Yao","orcid":"https://orcid.org/0000-0001-8837-4442"},"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"]},{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Xin Yao","raw_affiliation_strings":["CERCIA, School of Computer Science, University of Birmingham, Birmingham, U.K","Department of Computing and Decision Sciences, Lingnan University, Hong Kong, China","CERCIA, School of Computer Science, University of Birmingham, Birmingham, UK","Department of Computer Science and Engineering, Southern University of Science and Technology (SUSTech), Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-8837-4442","affiliations":[{"raw_affiliation_string":"CERCIA, School of Computer Science, University of Birmingham, Birmingham, U.K","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"Department of Computing and Decision Sciences, Lingnan University, Hong Kong, China","institution_ids":[]},{"raw_affiliation_string":"CERCIA, School of Computer Science, University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Southern University of Science and Technology (SUSTech), Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1529,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78809072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"29","issue":"4","first_page":"865","last_page":"879"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.991599977016449,"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":0.991599977016449,"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/T11053","display_name":"Process Optimization and Integration","score":0.9544000029563904,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9470000267028809,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6479674577713013},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6165318489074707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5325288772583008},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5278530120849609},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3592921495437622},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2593267560005188}],"concepts":[{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6479674577713013},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6165318489074707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5325288772583008},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5278530120849609},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3592921495437622},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2593267560005188}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tevc.2024.3375751","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2024.3375751","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"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 Evolutionary Computation","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/781440fc-df43-4157-97f0-8ab5f4bfc45b","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/781440fc-df43-4157-97f0-8ab5f4bfc45b","pdf_url":"https://pure-oai.bham.ac.uk/ws/files/220704976/paper-final.pdf","source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ruan , G , Minku , L , Menzel , S , Sendhoff , B & Yao , X 2024 , ' Learning to Expand/Contract Pareto Sets in Dynamic Multi-objective Optimization with a Changing Number of Objectives ' , IEEE Transactions on Evolutionary Computation . https://doi.org/10.1109/TEVC.2024.3375751","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/781440fc-df43-4157-97f0-8ab5f4bfc45b","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/781440fc-df43-4157-97f0-8ab5f4bfc45b","pdf_url":"https://pure-oai.bham.ac.uk/ws/files/220704976/paper-final.pdf","source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ruan , G , Minku , L , Menzel , S , Sendhoff , B & Yao , X 2024 , ' Learning to Expand/Contract Pareto Sets in Dynamic Multi-objective Optimization with a Changing Number of Objectives ' , IEEE Transactions on Evolutionary Computation . https://doi.org/10.1109/TEVC.2024.3375751","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8555519613","display_name":null,"funder_award_id":"62250710682","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392825793.pdf","grobid_xml":"https://content.openalex.org/works/W4392825793.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1495251046","https://openalex.org/W1574490530","https://openalex.org/W1985357653","https://openalex.org/W1995122990","https://openalex.org/W2024966195","https://openalex.org/W2037905780","https://openalex.org/W2056605897","https://openalex.org/W2085507535","https://openalex.org/W2097366597","https://openalex.org/W2098907614","https://openalex.org/W2102365077","https://openalex.org/W2115403315","https://openalex.org/W2142844925","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2147573707","https://openalex.org/W2344134522","https://openalex.org/W2344388199","https://openalex.org/W2413527939","https://openalex.org/W2583496274","https://openalex.org/W2612032753","https://openalex.org/W2770581177","https://openalex.org/W2810440851","https://openalex.org/W2888985868","https://openalex.org/W2914586382","https://openalex.org/W2921981915","https://openalex.org/W2963014601","https://openalex.org/W2997546679","https://openalex.org/W3008483431","https://openalex.org/W3027186203","https://openalex.org/W3041412905","https://openalex.org/W3091083611","https://openalex.org/W3120732119","https://openalex.org/W4238309986","https://openalex.org/W6854378831","https://openalex.org/W6990968949"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2090178682","https://openalex.org/W2001591765","https://openalex.org/W2080708212","https://openalex.org/W2055791821","https://openalex.org/W4241467429","https://openalex.org/W2073147994","https://openalex.org/W1588199609","https://openalex.org/W2153873031","https://openalex.org/W570431388"],"abstract_inverted_index":{"Dynamic":[0],"multi-objective":[1],"optimization":[2,201],"problems":[3,70],"(DMOPs)":[4],"with":[5,62,71,176],"a":[6,88,177],"changing":[7,178],"number":[8,78,111,179],"of":[9,79,112,180,202],"objectives":[10,80,181],"may":[11],"have":[12],"Pareto-optimal":[13],"set":[14],"(PS)":[15],"manifold":[16],"expanding":[17],"or":[18],"contracting":[19],"over":[20],"time.":[21],"Knowledge":[22],"transfer":[23,33,53,90],"has":[24],"been":[25],"used":[26],"for":[27,105,124],"solving":[28,37],"DMOPs,":[29],"since":[30],"it":[31],"can":[32],"useful":[34],"information":[35],"from":[36,143],"one":[38],"problem":[39,45,61],"instance":[40],"to":[41,97,147,159,206],"solve":[42],"another":[43],"related":[44],"instance.":[46],"However,":[47],"we":[48,86],"show":[49],"that":[50,183],"the":[51,77,134],"state-of-the-art":[52,207],"approach":[54],"based":[55,92,164],"on":[56,60,69,93,165,189],"heuristic":[57],"lacks":[58],"diversity":[59,107,151],"extremely":[63],"strong":[64],"bias":[65],"and":[66,73,82,99,108,115,126,138,152,162],"loses":[67],"convergence":[68,109],"multi-modality":[72],"variable":[74],"correlation,":[75],"after":[76,110,196,200],"increases":[81,114],"decreases,":[83,116],"respectively.":[84,117,154],"Therefore,":[85],"propose":[87],"novel":[89],"strategy":[91],"learning,":[94],"called":[95],"learning":[96],"expand":[98],"contract":[100],"PS":[101,156],"(denoted":[102],"as":[103],"LEC)":[104],"enhancing":[106],"objective":[113],"It":[118],"firstly":[119],"learns":[120],"potentially":[121],"good":[122],"directions":[123,140],"expansion":[125,137],"contraction":[127,139],"separately":[128],"via":[129],"principal":[130],"component":[131],"analysis.":[132],"Then,":[133],"most":[135,167],"promising":[136,168],"are":[141],"selected":[142],"their":[144],"candidates":[145],"according":[146],"whether":[148],"they":[149],"help":[150],"convergence,":[153],"Lastly,":[155],"is":[157,187],"learnt":[158],"be":[160],"expanded":[161],"contracted":[163],"these":[166],"directions.":[169],"Comprehensive":[170],"studies":[171],"using":[172],"13":[173],"DMOP":[174],"benchmarks":[175],"demonstrate":[182],"our":[184],"proposed":[185],"LEC":[186],"effective":[188],"improving":[190],"solution":[191],"quality,":[192],"not":[193],"only":[194],"right":[195],"changes":[197],"but":[198],"also":[199],"different":[203],"generations,":[204],"compared":[205],"algorithms.":[208]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}