{"id":"https://openalex.org/W2963687158","doi":"https://doi.org/10.1162/evco_a_00249","title":"A Revisit of Infinite Population Models for Evolutionary Algorithms on Continuous Optimization Problems","display_name":"A Revisit of Infinite Population Models for Evolutionary Algorithms on Continuous Optimization Problems","publication_year":2019,"publication_date":"2019-02-05","ids":{"openalex":"https://openalex.org/W2963687158","doi":"https://doi.org/10.1162/evco_a_00249","mag":"2963687158","pmid":"https://pubmed.ncbi.nlm.nih.gov/30721086"},"language":"en","primary_location":{"id":"doi:10.1162/evco_a_00249","is_oa":true,"landing_page_url":"https://doi.org/10.1162/evco_a_00249","pdf_url":"https://direct.mit.edu/evco/article-pdf/28/1/55/1858812/evco_a_00249.pdf","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":null,"license_id":null,"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":"bronze","oa_url":"https://direct.mit.edu/evco/article-pdf/28/1/55/1858812/evco_a_00249.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100761740","display_name":"Bo Song","orcid":"https://orcid.org/0000-0001-7066-6949"},"institutions":[{"id":"https://openalex.org/I4210142478","display_name":"HKU-Pasteur Research Pole","ror":"https://ror.org/03wwjjr94","country_code":"HK","type":"facility","lineage":["https://openalex.org/I4210142478"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Bo Song","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, the University of Hong Kong, Pokfulam, Hong Kong bsong@connect.hku.hk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, the University of Hong Kong, Pokfulam, Hong Kong bsong@connect.hku.hk","institution_ids":["https://openalex.org/I4210142478","https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056877599","display_name":"Victor O. K. Li","orcid":"https://orcid.org/0000-0002-1380-9445"},"institutions":[{"id":"https://openalex.org/I4210142478","display_name":"HKU-Pasteur Research Pole","ror":"https://ror.org/03wwjjr94","country_code":"HK","type":"facility","lineage":["https://openalex.org/I4210142478"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Victor O.K. Li","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, the University of Hong Kong, Pokfulam, Hong Kong vli@eee.hku.hk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, the University of Hong Kong, Pokfulam, Hong Kong vli@eee.hku.hk","institution_ids":["https://openalex.org/I4210142478","https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056877599","https://openalex.org/A5100761740"],"corresponding_institution_ids":["https://openalex.org/I4210142478","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.2251,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63213883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"28","issue":"1","first_page":"55","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9965000152587891,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","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/population","display_name":"Population","score":0.7463533282279968},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5875597596168518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5650355219841003},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5438539981842041},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5341260433197021},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5080280303955078},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5024838447570801},{"id":"https://openalex.org/keywords/population-size","display_name":"Population size","score":0.46574175357818604},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.4198593199253082},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4198456406593323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4174649119377136},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4169413149356842},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4115658104419708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37838104367256165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3375082015991211},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1592731773853302},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11609405279159546}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.7463533282279968},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5875597596168518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5650355219841003},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5438539981842041},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5341260433197021},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5080280303955078},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5024838447570801},{"id":"https://openalex.org/C169733012","wikidata":"https://www.wikidata.org/wiki/Q1613416","display_name":"Population size","level":3,"score":0.46574175357818604},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.4198593199253082},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4198456406593323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4174649119377136},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4169413149356842},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4115658104419708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37838104367256165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3375082015991211},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1592731773853302},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11609405279159546},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011156","descriptor_name":"Population Density","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011156","descriptor_name":"Population Density","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011156","descriptor_name":"Population Density","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1162/evco_a_00249","is_oa":true,"landing_page_url":"https://doi.org/10.1162/evco_a_00249","pdf_url":"https://direct.mit.edu/evco/article-pdf/28/1/55/1858812/evco_a_00249.pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},{"id":"pmid:30721086","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30721086","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}],"best_oa_location":{"id":"doi:10.1162/evco_a_00249","is_oa":true,"landing_page_url":"https://doi.org/10.1162/evco_a_00249","pdf_url":"https://direct.mit.edu/evco/article-pdf/28/1/55/1858812/evco_a_00249.pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1500848915","https://openalex.org/W1980465669","https://openalex.org/W2032916024","https://openalex.org/W2032929843","https://openalex.org/W2096839961","https://openalex.org/W2129283275","https://openalex.org/W2802739963","https://openalex.org/W3196219361","https://openalex.org/W4292027056","https://openalex.org/W4312782672","https://openalex.org/W6642303962","https://openalex.org/W6844577219"],"related_works":["https://openalex.org/W2009721390","https://openalex.org/W2392618323","https://openalex.org/W2620661725","https://openalex.org/W2559162946","https://openalex.org/W2138245753","https://openalex.org/W2802289011","https://openalex.org/W4207066076","https://openalex.org/W2765202572","https://openalex.org/W1534737284","https://openalex.org/W2089700481"],"abstract_inverted_index":{"Abstract":[0],"Infinite":[1],"population":[2,9,28,42,49,64,113,181,203,207,216],"models":[3,29,65,182],"are":[4,30],"important":[5],"tools":[6],"for":[7,150,183,201],"studying":[8,151],"dynamics":[10,204],"of":[11,19,62,66,98,100,125,135,154,157,160,179],"evolutionary":[12,67],"algorithms.":[13],"They":[14],"describe":[15],"how":[16],"the":[17,41,45,48,59,77,95,104,132,152,155,162,173,177,184,188,206,214],"distributions":[18],"populations":[20],"change":[21],"between":[22,38],"consecutive":[23],"generations.":[24],"In":[25,54],"general,":[26],"infinite":[27,63,112,136,180],"derived":[31],"from":[32],"Markov":[33],"chains":[34],"by":[35],"exploiting":[36],"symmetries":[37],"individuals":[39,101],"in":[40,80,86,108,123,131],"and":[43,89,142,159,187,219],"analyzing":[44],"limit":[46],"as":[47,205],"size":[50,208],"goes":[51,209],"to":[52,110,168,175,210],"infinity.":[53],"this":[55],"article,":[56],"we":[57,74,115,171],"study":[58,84],"theoretical":[60],"foundations":[61],"algorithms":[68],"on":[69,121],"continuous":[70],"optimization":[71],"problems.":[72],"First,":[73],"show":[75,93,193],"that":[76,94,194,213],"convergence":[78,122,153,178],"proofs":[79],"a":[81],"widely":[82],"cited":[83],"were":[85],"fact":[87],"problematic":[88],"incomplete.":[90],"We":[91,192],"further":[92],"modeling":[96],"assumption":[97],"exchangeability":[99],"cannot":[102],"yield":[103],"transition":[105],"equation.":[106],"Then,":[107],"order":[109],"analyze":[111],"models,":[114],"build":[116],"an":[117,148],"analytical":[118],"framework":[119,139,174],"based":[120],"distribution":[124],"random":[126],"elements":[127],"which":[128,164],"take":[129],"values":[130],"metric":[133],"space":[134],"sequences.":[137],"The":[138],"is":[140,217],"concise":[141],"mathematically":[143],"rigorous.":[144],"It":[145],"also":[146],"provides":[147],"infrastructure":[149],"stacking":[156],"operators":[158,196],"iterating":[161],"algorithm":[163],"previous":[165],"studies":[166],"failed":[167],"address.":[169],"Finally,":[170],"use":[172],"prove":[176],"mutation":[185],"operator":[186],"k-ary":[189],"recombination":[190],"operator.":[191],"these":[195],"can":[197],"provide":[198],"accurate":[199],"predictions":[200],"real":[202],"infinity,":[211],"provided":[212],"initial":[215],"identically":[218],"independently":[220],"distributed.":[221]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}