{"id":"https://openalex.org/W4385189645","doi":"https://doi.org/10.1145/3583133.3595840","title":"Hot off the Press: From Understanding the Population Dynamics of the NSGA-II to the First Proven Lower Bounds","display_name":"Hot off the Press: From Understanding the Population Dynamics of the NSGA-II to the First Proven Lower Bounds","publication_year":2023,"publication_date":"2023-07-15","ids":{"openalex":"https://openalex.org/W4385189645","doi":"https://doi.org/10.1145/3583133.3595840"},"language":"en","primary_location":{"id":"doi:10.1145/3583133.3595840","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3583133.3595840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Companion Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-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/A5105520300","display_name":"Benjamin Doerr","orcid":"https://orcid.org/0000-0001-5283-4208"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["Ecole Polytechnique, Palaiseau, France","Laboratoire d'Informatique (LIX), Palaiseau, France","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"Laboratoire d'Informatique (LIX), Palaiseau, France","institution_ids":["https://openalex.org/I4210139461"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008909213","display_name":"Zhongdi Qu","orcid":"https://orcid.org/0009-0002-7789-712X"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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":"Zhongdi Qu","raw_affiliation_strings":["Ecole Polytechnique, Palaiseau, France","Laboratoire d'Informatique (LIX), Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"Laboratoire d'Informatique (LIX), Palaiseau, France","institution_ids":["https://openalex.org/I4210139461"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105520300"],"corresponding_institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102"],"apc_list":null,"apc_paid":null,"fwci":0.1728,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55046891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"17","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991000294685364,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9980999827384949,"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":0.996399998664856,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.667780339717865},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.646917998790741},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.6009334325790405},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5753718018531799},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5208461880683899},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49604400992393494},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4781154990196228},{"id":"https://openalex.org/keywords/population-size","display_name":"Population size","score":0.465863972902298},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4535731375217438},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4420843720436096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4419787526130676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2637977600097656}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.667780339717865},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.646917998790741},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6009334325790405},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5753718018531799},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5208461880683899},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49604400992393494},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4781154990196228},{"id":"https://openalex.org/C169733012","wikidata":"https://www.wikidata.org/wiki/Q1613416","display_name":"Population size","level":3,"score":0.465863972902298},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4535731375217438},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4420843720436096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4419787526130676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2637977600097656},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3583133.3595840","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3583133.3595840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Companion Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04483223v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04483223","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GECCO '23 Companion: Companion Conference on Genetic and Evolutionary Computation, 2023, Lisbon Portugal, France. pp.17-18, ⟨10.1145/3583133.3595840⟩","raw_type":"Conference papers"}],"best_oa_location":null,"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/G3807293409","display_name":null,"funder_award_id":"ANR-11-LABX-00","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4110391279","display_name":null,"funder_award_id":"project,","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"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/G5755857060","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH, LabEx LMH","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/G718779670","display_name":null,"funder_award_id":"LabEx LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1552383524","https://openalex.org/W1637451315","https://openalex.org/W2020320008","https://openalex.org/W2080363071","https://openalex.org/W2115738889","https://openalex.org/W2126105956","https://openalex.org/W2798681291","https://openalex.org/W3179094374","https://openalex.org/W4226157494","https://openalex.org/W4226515502","https://openalex.org/W4298053631","https://openalex.org/W4322706821","https://openalex.org/W4382202807"],"related_works":["https://openalex.org/W2739612537","https://openalex.org/W2351666715","https://openalex.org/W2349174696","https://openalex.org/W2360241746","https://openalex.org/W4313041667","https://openalex.org/W2767599893","https://openalex.org/W2892044327","https://openalex.org/W2158905189","https://openalex.org/W4319874546","https://openalex.org/W2737327853"],"abstract_inverted_index":{"Due":[0],"to":[1,68],"the":[2,8,12,32,36,42,55,70,74,81,104,113,125,130,136,139,144,157],"more":[3],"complicated":[4],"population":[5,33,59,122],"dynamics":[6,34],"of":[7,11,31,35,45,73,112,117,138,143],"NSGA-II,":[9,37],"none":[10],"existing":[13],"runtime":[14,115,151],"guarantees":[15],"for":[16,135],"this":[17],"algorithm":[18],"is":[19,133,154],"accompanied":[20],"by":[21,40],"a":[22,27,48,150],"non-trivial":[23],"lower":[24],"bound.":[25],"Via":[26],"first":[28],"mathematical":[29],"understanding":[30],"that":[38,54,103,153],"is,":[39,94],"estimating":[41],"expected":[43],"number":[44],"individuals":[46],"having":[47],"certain":[49],"objective":[50],"value,":[51],"we":[52,147],"prove":[53],"NSGA-II":[56,105],"with":[57,84],"suitable":[58],"size":[60,86],"needs":[61],"\u03a9":[62],"(Nn":[63],"log":[64],"n)":[65],"function":[66],"evaluations":[67,79],"find":[69],"Pareto":[71],"front":[72],"OneMinMax":[75],"problem":[76,83,127],"and":[77,101,128],"\u03a9(Nnk)":[78],"on":[80],"OneJumpZeroJump":[82,126],"jump":[85],"k.":[87],"These":[88],"bounds":[89],"are":[90],"asymptotically":[91],"tight":[92,155],"(that":[93],"they":[95],"match":[96],"previously":[97],"shown":[98],"upper":[99],"bounds)":[100],"show":[102],"here":[106],"does":[107],"not":[108],"even":[109,148],"in":[110],"terms":[111],"parallel":[114],"(number":[116],"iterations)":[118],"profit":[119],"from":[120],"larger":[121],"sizes.":[123],"For":[124],"when":[129],"same":[131],"sorting":[132],"used":[134],"computation":[137],"crowding":[140],"distance":[141],"contributions":[142],"two":[145],"objectives,":[146],"obtain":[149],"estimate":[152],"including":[156],"leading":[158],"constant.":[159]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}