{"id":"https://openalex.org/W4362661555","doi":"https://doi.org/10.1162/evco_a_00328","title":"Theoretical Analyses of Multiobjective Evolutionary Algorithms on Multimodal Objectives*","display_name":"Theoretical Analyses of Multiobjective Evolutionary Algorithms on Multimodal Objectives*","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4362661555","doi":"https://doi.org/10.1162/evco_a_00328","pmid":"https://pubmed.ncbi.nlm.nih.gov/37023353"},"language":"en","primary_location":{"id":"doi:10.1162/evco_a_00328","is_oa":true,"landing_page_url":"https://doi.org/10.1162/evco_a_00328","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1162/evco_a_00328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027986071","display_name":"Weijie Zheng","orcid":"https://orcid.org/0000-0002-8483-0161"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijie Zheng","raw_affiliation_strings":["School of Computer Science and Technology, International Research Institute for Artificial Intelligence, Harbin Institute of Technology, Shenzhen, China zhengweijie@hit.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, International Research Institute for Artificial Intelligence, Harbin Institute of Technology, Shenzhen, China zhengweijie@hit.edu.cn","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102961331","display_name":"Benjamin Doerr","orcid":"https://orcid.org/0000-0002-9786-220X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["Laboratoire d'Informatique (LIX), \u00c9cole Polytechnique, CNRS, Institut Polytechnique de Paris, Palaiseau, France doerr@lix.polytechnique.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique (LIX), \u00c9cole Polytechnique, CNRS, Institut Polytechnique de Paris, Palaiseau, France doerr@lix.polytechnique.fr","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8433,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.95920202,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"31","issue":"4","first_page":"337","last_page":"373"},"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":0.9975000023841858,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.7647883892059326},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.717563807964325},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.7157195806503296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.529403805732727},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5236525535583496},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5180530548095703},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5052462220191956},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4818759858608246},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.4816107451915741},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4794713258743286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4520166516304016},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42043158411979675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41590604186058044}],"concepts":[{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.7647883892059326},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.717563807964325},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.7157195806503296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.529403805732727},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5236525535583496},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5180530548095703},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5052462220191956},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4818759858608246},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.4816107451915741},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4794713258743286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4520166516304016},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42043158411979675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41590604186058044},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005075","descriptor_name":"Biological Evolution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005075","descriptor_name":"Biological Evolution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005075","descriptor_name":"Biological Evolution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005170","descriptor_name":"Factor X","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005170","descriptor_name":"Factor X","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005170","descriptor_name":"Factor X","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019985","descriptor_name":"Benchmarking","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1162/evco_a_00328","is_oa":true,"landing_page_url":"https://doi.org/10.1162/evco_a_00328","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},{"id":"pmid:37023353","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37023353","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":"Evolutionary computation","raw_type":null},{"id":"pmh:oai:HAL:hal-04062185v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04062185","pdf_url":"https://hal.science/hal-04062185/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Evolutionary Computation, In press, &#x27E8;10.1162/evco_a_00328&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1162/evco_a_00328","is_oa":true,"landing_page_url":"https://doi.org/10.1162/evco_a_00328","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2249808486","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2977389456","display_name":null,"funder_award_id":"2020B121201001","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G301851064","display_name":null,"funder_award_id":"2019A1515110177","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G4668459666","display_name":null,"funder_award_id":"GXWD20220818191018001","funder_id":"https://openalex.org/F4320326705","funder_display_name":"Science, Technology and Innovation Commission of Shenzhen Municipality"},{"id":"https://openalex.org/G4895254678","display_name":null,"funder_award_id":"ANR-11-LABX-0056","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6395863086","display_name":null,"funder_award_id":"11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7606029574","display_name":null,"funder_award_id":"KQTD2016112514355531","funder_id":"https://openalex.org/F4320326705","funder_display_name":"Science, Technology and Innovation Commission of Shenzhen Municipality"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320326705","display_name":"Science, Technology and Innovation Commission of Shenzhen Municipality","ror":null},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":94,"referenced_works":["https://openalex.org/W372717656","https://openalex.org/W1507360423","https://openalex.org/W1552383524","https://openalex.org/W1553838525","https://openalex.org/W1569002781","https://openalex.org/W1585934341","https://openalex.org/W1606774760","https://openalex.org/W1637451315","https://openalex.org/W1834691232","https://openalex.org/W1965681731","https://openalex.org/W1967363967","https://openalex.org/W1976361701","https://openalex.org/W1976513030","https://openalex.org/W1977643662","https://openalex.org/W1982608345","https://openalex.org/W1994258343","https://openalex.org/W2003869546","https://openalex.org/W2015353056","https://openalex.org/W2020320008","https://openalex.org/W2080363071","https://openalex.org/W2085021430","https://openalex.org/W2097724176","https://openalex.org/W2110586983","https://openalex.org/W2115738889","https://openalex.org/W2121555757","https://openalex.org/W2126105956","https://openalex.org/W2138894958","https://openalex.org/W2143381319","https://openalex.org/W2146239736","https://openalex.org/W2152688255","https://openalex.org/W2165220807","https://openalex.org/W2233143851","https://openalex.org/W2291356055","https://openalex.org/W2343897395","https://openalex.org/W2503401227","https://openalex.org/W2510358055","https://openalex.org/W2558610617","https://openalex.org/W2585305412","https://openalex.org/W2604934189","https://openalex.org/W2745272116","https://openalex.org/W2784961280","https://openalex.org/W2788305970","https://openalex.org/W2797555254","https://openalex.org/W2798681291","https://openalex.org/W2807969927","https://openalex.org/W2887735318","https://openalex.org/W2904841715","https://openalex.org/W2905061379","https://openalex.org/W2947446743","https://openalex.org/W2969086206","https://openalex.org/W2997125198","https://openalex.org/W2997337670","https://openalex.org/W3016125163","https://openalex.org/W3016399834","https://openalex.org/W3019790740","https://openalex.org/W3101149728","https://openalex.org/W3106081651","https://openalex.org/W3110996796","https://openalex.org/W3173469648","https://openalex.org/W3176592844","https://openalex.org/W3186197777","https://openalex.org/W3189018390","https://openalex.org/W3193427507","https://openalex.org/W3200825350","https://openalex.org/W4220673243","https://openalex.org/W4225328943","https://openalex.org/W4226157494","https://openalex.org/W4226515502","https://openalex.org/W4288044853","https://openalex.org/W4291418353","https://openalex.org/W4292103470","https://openalex.org/W4293388201","https://openalex.org/W4298053631","https://openalex.org/W6630624628","https://openalex.org/W6633040315","https://openalex.org/W6634034875","https://openalex.org/W6636307177","https://openalex.org/W6636664260","https://openalex.org/W6642115922","https://openalex.org/W6670559382","https://openalex.org/W6678088448","https://openalex.org/W6689424278","https://openalex.org/W6724458276","https://openalex.org/W6729997231","https://openalex.org/W6748645054","https://openalex.org/W6752338460","https://openalex.org/W6775653201","https://openalex.org/W6776800725","https://openalex.org/W6780317598","https://openalex.org/W6786108745","https://openalex.org/W6799504917","https://openalex.org/W6800074498","https://openalex.org/W6810616220","https://openalex.org/W6841628925"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2073147994","https://openalex.org/W2145877535","https://openalex.org/W1588199609","https://openalex.org/W2384474142","https://openalex.org/W2744730182"],"abstract_inverted_index":{"Multiobjective":[0],"evolutionary":[1,57,87,288],"algorithms":[2,23,58,289],"are":[3,42,241],"successfully":[4],"applied":[5],"in":[6,30,125,169,229,300],"many":[7,14],"real-world":[8],"multiobjective":[9,61,88,301],"optimization":[10],"problems.":[11,172],"As":[12,47],"for":[13,107,148,244,265],"other":[15],"AI":[16],"methods,":[17],"the":[18,65,77,85,97,103,117,122,137,144,161,175,182,195,205,207,221,281],"theoretical":[19],"understanding":[20,54],"of":[21,44,55,72,102,129,189,199,215],"these":[22,238],"is":[24,152],"lagging":[25],"far":[26],"behind":[27],"their":[28],"success":[29],"practice.":[31],"In":[32,105],"particular,":[33],"previous":[34],"theory":[35],"work":[36],"considers":[37],"mostly":[38],"easy":[39],"problems":[40],"that":[41,84,151,166,237,280],"composed":[43,71],"unimodal":[45],"objectives.":[46],"a":[48,52,68,178,187,213,225,255],"first":[49,145],"step":[50],"towards":[51],"deeper":[53],"how":[56],"solve":[59],"multimodal":[60,171],"problems,":[62],"we":[63,134,235],"propose":[64],"OneJumpZeroJump":[66],"problem,":[67],"bi-objective":[69],"problem":[70,109,246,270],"two":[73,164],"objectives":[74],"isomorphic":[75],"to":[76,204,285,290],"classic":[78],"jump":[79,114,266],"function":[80],"benchmark.":[81],"We":[82,158],"prove":[83],"simple":[86],"optimizer":[89],"(SEMO)":[90],"with":[91,163,177,292],"probability":[92],"one":[93],"does":[94],"not":[95],"compute":[96],"full":[98],"Pareto":[99,123],"front,":[100],"regardless":[101],"runtime.":[104],"contrast,":[106],"all":[108,113],"sizes":[110,115,271],"n":[111],"and":[112,201,219,254,269,274],"k\u2208[4..n2-1],":[116],"global":[118],"SEMO":[119],"(GSEMO)":[120],"covers":[121],"front":[124],"an":[126,149,232],"expected":[127,183,208],"number":[128],"\u0398((n-2k)nk)":[130],"iterations.":[131],"For":[132],"k=o(n),":[133],"also":[135,159,210,299],"show":[136,236,279],"tighter":[138],"bound":[139,147],"32enk+1\u00b1o(nk+1),":[140],"which":[141],"might":[142],"be":[143,262,296],"runtime":[146,184,209],"MOEA":[150],"tight":[153],"apart":[154],"from":[155,251,258],"lower-order":[156],"terms.":[157],"combine":[160],"GSEMO":[162,176,223],"approaches":[165],"showed":[167],"advantages":[168],"single-objective":[170,287],"When":[173,193],"using":[174],"heavy-tailed":[179,222,252],"mutation":[180,253],"operator,":[181],"improves":[185,211],"by":[186,212,224],"factor":[188,214,228],"at":[190,216],"least":[191,217],"k\u03a9(k).":[192],"adapting":[194],"recent":[196],"stagnation-detection":[197],"strategy":[198],"Rajabi":[200],"Witt":[202],"(2022)":[203],"GSEMO,":[206],"k\u03a9(k)":[218],"surpasses":[220],"small":[226,245],"polynomial":[227],"k.":[230],"Via":[231],"experimental":[233],"analysis,":[234],"asymptotic":[239],"differences":[240],"visible":[242],"already":[243,264],"sizes:":[247],"A":[248],"factor-5":[249],"speed-up":[250,257],"factor-10":[256],"stagnation":[259],"detection":[260],"can":[261,295],"observed":[263],"size":[267],"4":[268],"between":[272],"10":[273],"50.":[275],"Overall,":[276],"our":[277],"results":[278],"ideas":[282],"recently":[283],"developed":[284],"aid":[286],"cope":[291],"local":[293],"optima":[294],"effectively":[297],"employed":[298],"optimization.":[302]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
