{"id":"https://openalex.org/W1984979298","doi":"https://doi.org/10.1109/icmlc.2013.6890510","title":"A variant of Variable-Drift theorem for continuous (1+1)-Evolutionary Algorithm","display_name":"A variant of Variable-Drift theorem for continuous (1+1)-Evolutionary Algorithm","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1984979298","doi":"https://doi.org/10.1109/icmlc.2013.6890510","mag":"1984979298"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2013.6890510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2013.6890510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"},"type":"conference-paper","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/A5103257775","display_name":"Weidi Xu","orcid":"https://orcid.org/0000-0002-7279-9339"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-Di Xu","raw_affiliation_strings":["Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088160732","display_name":"Han Huang","orcid":"https://orcid.org/0000-0003-1617-4147"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han Huang","raw_affiliation_strings":["Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111940262","display_name":"Ji Luo","orcid":"https://orcid.org/0009-0009-0941-5273"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji Luo","raw_affiliation_strings":["Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hao-Xun Zhan","orcid":null},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao-Xun Zhan","raw_affiliation_strings":["Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software Engineering, University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"Department of Software Engineering, South China University of Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"469","last_page":"475"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9972000122070312,"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":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5694666504859924},{"id":"https://openalex.org/keywords/continuous-function","display_name":"Continuous function (set theory)","score":0.5440307259559631},{"id":"https://openalex.org/keywords/continuous-variable","display_name":"Continuous variable","score":0.5095720291137695},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4811614453792572},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.481008380651474},{"id":"https://openalex.org/keywords/continuous-optimization","display_name":"Continuous optimization","score":0.4787865877151489},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4740464687347412},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4610663056373596},{"id":"https://openalex.org/keywords/mutation","display_name":"Mutation","score":0.45535731315612793},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4364078640937805},{"id":"https://openalex.org/keywords/uniform-distribution","display_name":"Uniform distribution (continuous)","score":0.42703408002853394},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4131557047367096},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4128045439720154},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.31383055448532104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16473063826560974},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09866687655448914}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5694666504859924},{"id":"https://openalex.org/C2778199601","wikidata":"https://www.wikidata.org/wiki/Q5165476","display_name":"Continuous function (set theory)","level":3,"score":0.5440307259559631},{"id":"https://openalex.org/C2983394010","wikidata":"https://www.wikidata.org/wiki/Q19885330","display_name":"Continuous variable","level":2,"score":0.5095720291137695},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4811614453792572},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.481008380651474},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.4787865877151489},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4740464687347412},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4610663056373596},{"id":"https://openalex.org/C501734568","wikidata":"https://www.wikidata.org/wiki/Q42918","display_name":"Mutation","level":3,"score":0.45535731315612793},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4364078640937805},{"id":"https://openalex.org/C108882938","wikidata":"https://www.wikidata.org/wiki/Q274506","display_name":"Uniform distribution (continuous)","level":2,"score":0.42703408002853394},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4131557047367096},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4128045439720154},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.31383055448532104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16473063826560974},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09866687655448914},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2013.6890510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2013.6890510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1596384364","https://openalex.org/W1645523878","https://openalex.org/W1970025632","https://openalex.org/W1975791498","https://openalex.org/W1984555915","https://openalex.org/W2084149434","https://openalex.org/W2111142076","https://openalex.org/W2143945515","https://openalex.org/W2156622046","https://openalex.org/W2407017126","https://openalex.org/W3100597221","https://openalex.org/W4293406128","https://openalex.org/W6642516070"],"related_works":["https://openalex.org/W1595870065","https://openalex.org/W2375256585","https://openalex.org/W2018323738","https://openalex.org/W2332119567","https://openalex.org/W1990014200","https://openalex.org/W2130549190","https://openalex.org/W2125552507","https://openalex.org/W1990774129","https://openalex.org/W2118393387","https://openalex.org/W4232665847"],"abstract_inverted_index":{"The":[0,15,105],"computational":[1],"time":[2,145],"complexity":[3,43],"is":[4,21,79,95,108],"an":[5],"important":[6],"topic":[7],"in":[8,17,24,28,47,81,102,195],"the":[9,36,42,86,96,140,148,154,157,167,170,178,181,187,190,197],"theory":[10,39,88],"of":[11,44,55,99,153,159,166,172,183,192,199],"Evolutionary":[12],"Algorithms":[13],"(EAs).":[14],"analysis":[16],"continuous":[18,48,71,91,103,106,124,141],"space":[19,125],"function":[20],"rare":[22],"nowadays":[23],"comparison":[25],"to":[26,40,89,123],"that":[27,78,139,165,177],"discrete":[29],"space.":[30,104],"In":[31,117],"this":[32],"paper,":[33],"we":[34,64,84],"extend":[35],"general":[37,61],"drift":[38,62],"analyze":[41],"optimization":[45,72],"problem":[46,77],"space,":[49],"by":[50,73,131],"proposing":[51],"a":[52,66,90],"new":[53],"version":[54],"Variable":[56],"Drift-Johannsen":[57],"theorem.":[58],"Comparing":[59],"with":[60,110,156,169,180,189],"analysis,":[63],"establish":[65],"tighter":[67],"upper":[68,149],"bound":[69],"for":[70,75,113],"integration":[74],"every":[76],"monotonic":[80],"drift.":[82],"Finally,":[83],"apply":[85],"proposed":[87],"(1+1)EA":[92,107,111,142,155,168,179,188],"algorithm":[93],"which":[94],"basic":[97],"framework":[98],"evolutionary":[100],"algorithm(EA)":[101],"similar":[109],"except":[112],"its":[114,119],"elitism":[115],"strategy.":[116],"addition,":[118],"solutions":[120],"are":[121,128,162],"transferred":[122],"and":[126,150],"mutations":[127],"implemented":[129],"randomly":[130],"obeying":[132],"one":[133],"single":[134],"probability":[135],"distribution.":[136,174],"It":[137],"means":[138,176],"requires":[143],"exponential":[144],"complexity.":[146],"Both":[147],"lower":[151],"bounds":[152],"mutation":[158,171,182,191],"(0,1)-normal":[160,184],"distribution":[161,185,194],"bounding":[163],"above":[164],"(\u00bf1,1)-uniform":[173,193],"This":[175],"outperforms":[186],"reaching":[196],"optimum":[198],"sphere":[200],"function.":[201]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}