{"id":"https://openalex.org/W3208436408","doi":"https://doi.org/10.1145/3520304.3534062","title":"Precise runtime analysis for plateau functions","display_name":"Precise runtime analysis for plateau functions","publication_year":2022,"publication_date":"2022-07-09","ids":{"openalex":"https://openalex.org/W3208436408","doi":"https://doi.org/10.1145/3520304.3534062","mag":"3208436408"},"language":"en","primary_location":{"id":"doi:10.1145/3520304.3534062","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3520304.3534062","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3520304.3534062&file=p13-antipov-suppl.pdf","source":{"id":"https://openalex.org/S4363608771","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3520304.3534062&file=p13-antipov-suppl.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082239479","display_name":"Denis Antipov","orcid":"https://orcid.org/0000-0001-7906-096X"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Denis Antipov","raw_affiliation_strings":["ITMO University, St. Petersburg, Russia","ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] (St. Petersburg 197101 - Russia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] (St. Petersburg 197101 - Russia)","institution_ids":["https://openalex.org/I173089394"]}]},{"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/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/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":false,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["\u00c9cole Polytechnique, Palaiseau, France","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"13","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9976999759674072,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9962999820709229,"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/hamming-distance","display_name":"Hamming distance","score":0.5415655970573425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5211920142173767},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5189787745475769},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5092889070510864},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.48235148191452026},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.46837717294692993},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4472702741622925},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4336165189743042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3959847092628479},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36091989278793335},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1671038269996643},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11166951060295105}],"concepts":[{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5415655970573425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5211920142173767},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5189787745475769},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5092889070510864},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.48235148191452026},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.46837717294692993},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4472702741622925},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4336165189743042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3959847092628479},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36091989278793335},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1671038269996643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11166951060295105},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3520304.3534062","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3520304.3534062","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3520304.3534062&file=p13-antipov-suppl.pdf","source":{"id":"https://openalex.org/S4363608771","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04487191v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04487191","pdf_url":null,"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":"GECCO '22: Genetic and Evolutionary Computation Conference, 2022, Boston, United States. pp.13-14, &#x27E8;10.1145/3520304.3534062&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1145/3520304.3534062","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3520304.3534062","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3520304.3534062&file=p13-antipov-suppl.pdf","source":{"id":"https://openalex.org/S4363608771","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4895254678","display_name":"LabEx Math\u00e9matique Hadamard","funder_award_id":"ANR-11-LABX-0056","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3208436408.pdf","grobid_xml":"https://content.openalex.org/works/W3208436408.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W139482607","https://openalex.org/W372717656","https://openalex.org/W1487444668","https://openalex.org/W1522890465","https://openalex.org/W1592302237","https://openalex.org/W1606774760","https://openalex.org/W1793635223","https://openalex.org/W1970025632","https://openalex.org/W1970101133","https://openalex.org/W1976361701","https://openalex.org/W1981303977","https://openalex.org/W2015766439","https://openalex.org/W2023030534","https://openalex.org/W2027557853","https://openalex.org/W2035300004","https://openalex.org/W2039865013","https://openalex.org/W2040330399","https://openalex.org/W2045438907","https://openalex.org/W2048277430","https://openalex.org/W2061092014","https://openalex.org/W2074485631","https://openalex.org/W2084149434","https://openalex.org/W2097724176","https://openalex.org/W2102044362","https://openalex.org/W2102635079","https://openalex.org/W2108288996","https://openalex.org/W2109000177","https://openalex.org/W2138894958","https://openalex.org/W2146239736","https://openalex.org/W2147026702","https://openalex.org/W2153401898","https://openalex.org/W2153475092","https://openalex.org/W2156622046","https://openalex.org/W2156767653","https://openalex.org/W2161238506","https://openalex.org/W2165220807","https://openalex.org/W2167325880","https://openalex.org/W2197473496","https://openalex.org/W2287495828","https://openalex.org/W2464386141","https://openalex.org/W2492282619","https://openalex.org/W2510360068","https://openalex.org/W2604934189","https://openalex.org/W2725019750","https://openalex.org/W2725382342","https://openalex.org/W2734734929","https://openalex.org/W2745272116","https://openalex.org/W2887325363","https://openalex.org/W2887735318","https://openalex.org/W2941999899","https://openalex.org/W2955805227","https://openalex.org/W2964312612","https://openalex.org/W2969868371","https://openalex.org/W3001401812","https://openalex.org/W3101428723","https://openalex.org/W3103794138","https://openalex.org/W3104429645"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W1006270037","https://openalex.org/W3152686072","https://openalex.org/W2067417168","https://openalex.org/W2167635576","https://openalex.org/W2095997682","https://openalex.org/W2131658212","https://openalex.org/W2055712922","https://openalex.org/W2097752597"],"abstract_inverted_index":{"To":[0],"gain":[1],"a":[2,42,48,112,195],"better":[3],"theoretical":[4],"understanding":[5],"of":[6,14,30,44,50,77,83,137,147,169,198],"how":[7,27],"evolutionary":[8],"algorithms":[9],"(EAs)":[10],"cope":[11],"with":[12,119],"plateaus":[13],"constant":[15,104],"fitness,":[16],"we":[17,58,99],"propose":[18],"the":[19,31,54,60,74,108,116,124,135,138,141,145,155,170,178,199,203,209],"n-dimensional":[20],"Plateauk":[21,39],"function":[22,40],"as":[23],"benchmark":[24],"and":[25,86,130,150,161,207],"analyze":[26],"different":[28],"variants":[29],"(1":[32,61],"+":[33,62],"1)":[34,63],"EA":[35,64],"optimize":[36],"it.":[37],"The":[38],"has":[41,92],"plateau":[43,223],"second-best":[45],"fitness":[46],"in":[47,80],"ball":[49],"radius":[51],"k":[52,105,131,162],"around":[53],"optimum.":[55],"As":[56],"EA,":[57],"regard":[59],"using":[65],"an":[66,81,213],"arbitrary":[67],"unbiased":[68],"mutation":[69,171,180,185],"operator.":[70,172],"Denoting":[71],"by":[72,134],"\u03b1":[73],"random":[75],"number":[76],"bits":[78,132],"flipped":[79],"application":[82],"this":[84,148],"operator":[85],"assuming":[87],"that":[88,101,177,215],"Pr[\u03b1":[89],"=":[90],"1]":[91],"at":[93],"least":[94],"some":[95],"small":[96],"sub-constant":[97],"value,":[98],"show":[100],"for":[102,182,221],"all":[103],"\u2265":[106],"2,":[107],"runtime":[109,143],"T":[110],"follows":[111],"distribution":[113],"close":[114],"to":[115,123,126,157,217],"geometric":[117],"one":[118],"success":[120],"probability":[121,125,156],"equal":[122],"flip":[127,158],"between":[128,159],"1":[129,160],"divided":[133],"size":[136],"plateau.":[139],"Consequently,":[140],"expected":[142],"is":[144,187,194],"inverse":[146],"number,":[149],"thus":[151],"only":[152],"depends":[153],"on":[154,166,202,208],"bits,":[163],"but":[164],"not":[165],"other":[167,222],"characteristics":[168],"Our":[173,190],"result":[174],"also":[175,220],"implies":[176],"optimal":[179],"rate":[181],"standard":[183],"bit":[184],"here":[186],"approximately":[188],"k/(en).":[189],"main":[191],"analysis":[192,197],"tool":[193],"combined":[196],"Markov":[200],"chains":[201],"search":[204],"point":[205],"space":[206],"Hamming":[210],"level":[211],"space,":[212],"approach":[214],"promises":[216],"be":[218],"useful":[219],"problems.":[224]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
