{"id":"https://openalex.org/W4400078705","doi":"https://doi.org/10.1109/tevc.2024.3419931","title":"On a Population Sizing Model for Evolution Strategies in Multimodal Landscapes","display_name":"On a Population Sizing Model for Evolution Strategies in Multimodal Landscapes","publication_year":2024,"publication_date":"2024-06-27","ids":{"openalex":"https://openalex.org/W4400078705","doi":"https://doi.org/10.1109/tevc.2024.3419931"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2024.3419931","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tevc.2024.3419931","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1109/tevc.2024.3419931","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074674311","display_name":"Lisa Sch\u00f6nenberger","orcid":"https://orcid.org/0009-0007-5694-7067"},"institutions":[{"id":"https://openalex.org/I675453","display_name":"Vorarlberg University of Applied Sciences","ror":"https://ror.org/031wyx077","country_code":"AT","type":"education","lineage":["https://openalex.org/I675453"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Lisa Sch\u00f6nenberger","raw_affiliation_strings":["Research Center Business Informatics, Vorarlberg University of Applied Sciences, Dornbirn, Austria"],"affiliations":[{"raw_affiliation_string":"Research Center Business Informatics, Vorarlberg University of Applied Sciences, Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058598249","display_name":"Hans-Georg Beyer","orcid":"https://orcid.org/0000-0002-7455-8686"},"institutions":[{"id":"https://openalex.org/I675453","display_name":"Vorarlberg University of Applied Sciences","ror":"https://ror.org/031wyx077","country_code":"AT","type":"education","lineage":["https://openalex.org/I675453"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Hans-Georg Beyer","raw_affiliation_strings":["Research Center Business Informatics, Vorarlberg University of Applied Sciences, Dornbirn, Austria"],"affiliations":[{"raw_affiliation_string":"Research Center Business Informatics, Vorarlberg University of Applied Sciences, Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074674311"],"corresponding_institution_ids":["https://openalex.org/I675453"],"apc_list":null,"apc_paid":null,"fwci":2.3316,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.88441794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"29","issue":"5","first_page":"1807","last_page":"1819"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9907000064849854,"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/population","display_name":"Population","score":0.6504993438720703},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6049091219902039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5874143838882446},{"id":"https://openalex.org/keywords/population-size","display_name":"Population size","score":0.5777382850646973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5679337978363037},{"id":"https://openalex.org/keywords/fitness-landscape","display_name":"Fitness landscape","score":0.554665744304657},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.5189151763916016},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.5057377815246582},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4668481945991516},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.46051445603370667},{"id":"https://openalex.org/keywords/intrinsic-dimension","display_name":"Intrinsic dimension","score":0.42485421895980835},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39204585552215576},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22778120636940002},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.13353753089904785},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08701774477958679}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6504993438720703},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6049091219902039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5874143838882446},{"id":"https://openalex.org/C169733012","wikidata":"https://www.wikidata.org/wiki/Q1613416","display_name":"Population size","level":3,"score":0.5777382850646973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5679337978363037},{"id":"https://openalex.org/C91852762","wikidata":"https://www.wikidata.org/wiki/Q3307742","display_name":"Fitness landscape","level":3,"score":0.554665744304657},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.5189151763916016},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.5057377815246582},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4668481945991516},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.46051445603370667},{"id":"https://openalex.org/C30732413","wikidata":"https://www.wikidata.org/wiki/Q17092636","display_name":"Intrinsic dimension","level":3,"score":0.42485421895980835},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39204585552215576},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22778120636940002},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.13353753089904785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08701774477958679},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tevc.2024.3419931","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tevc.2024.3419931","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tevc.2024.3419931","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tevc.2024.3419931","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.47999998927116394,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G5609758201","display_name":null,"funder_award_id":"P33702-N","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1498178627","https://openalex.org/W1525997788","https://openalex.org/W1560921017","https://openalex.org/W1590946005","https://openalex.org/W1605438009","https://openalex.org/W2040264776","https://openalex.org/W2047626401","https://openalex.org/W2051314441","https://openalex.org/W2095377095","https://openalex.org/W2138537392","https://openalex.org/W4291340418","https://openalex.org/W4384155549","https://openalex.org/W4385438216","https://openalex.org/W4386629971"],"related_works":["https://openalex.org/W2142398281","https://openalex.org/W2209700215","https://openalex.org/W2474645015","https://openalex.org/W4362510567","https://openalex.org/W4291378433","https://openalex.org/W2992881961","https://openalex.org/W4291964331","https://openalex.org/W2257684267","https://openalex.org/W2809695261","https://openalex.org/W2146810516"],"abstract_inverted_index":{"This":[0,84],"paper":[1],"derives":[2],"a":[3,40,51,54,157,179],"population":[4,108,116,134,187],"sizing":[5],"model":[6,55,73],"for":[7,86,141],"standard":[8],"Evolution":[9],"Strategies":[10],"(ES)":[11],"in":[12,102,156],"highly":[13,34],"multimodal":[14],"fitness":[15],"landscapes":[16],"with":[17,121,137,191],"exponentially":[18,190],"many":[19],"local":[20,78],"optima.":[21],"The":[22,68],"Rastrigin,":[23],"Bohachevsky,":[24],"and":[25,101,130],"Ackley":[26],"test":[27],"functions":[28,39,65],"are":[29],"considered.":[30],"Due":[31],"to":[32,97,183],"the":[33,45,48,60,64,75,90,94,98,107,115,122,128,133,143,149,153,161,164,167,175,184,186],"non-convex":[35],"structure":[36,62],"of":[37,44,47,63,71,77,89,93,106,160],"these":[38],"detailed":[41],"analytical":[42],"description":[43],"behavior":[46,145],"ES":[49,95],"is":[50,56,74,112,170],"challenge.":[52],"Therefore,":[53],"derived":[57],"that":[58,114],"simplifies":[59],"complex":[61],"under":[66],"consideration.":[67],"main":[69],"idea":[70],"this":[72],"interpretation":[76],"landscape":[79],"oscillations":[80],"as":[81],"frozen":[82],"noise.":[83],"allows":[85],"an":[87,104],"estimation":[88,105],"success":[91],"probability":[92],"converging":[96],"global":[99,162],"optimum":[100],"turn":[103],"size":[109,117,135,188],"required.":[110],"It":[111],"shown":[113],"scales":[118,136,189],"usually":[119],"sublinearly":[120],"search":[123],"space":[124],"dimension":[125,168],"N.":[126],"For":[127],"Rastrigin":[129],"Bohachevsky":[131],"function,":[132],"O(\u221aN":[138],"ln(N)).":[139],"As":[140],"Ackley,":[142],"scaling":[144],"depends":[146],"strongly":[147],"on":[148,166],"initial":[150,176],"values.":[151],"If":[152],"algorithm":[154],"starts":[155],"certain":[158,180],"vicinity":[159],"optimizer,":[163,185],"dependence":[165],"N":[169],"rather":[171],"weak.":[172],"However,":[173],"if":[174],"value":[177],"exceeds":[178],"distance":[181],"R":[182],"R.":[192]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
