{"id":"https://openalex.org/W3117647011","doi":"https://doi.org/10.1109/tcyb.2020.3038694","title":"Adaptive Estimation Distribution Distributed Differential Evolution for Multimodal Optimization Problems","display_name":"Adaptive Estimation Distribution Distributed Differential Evolution for Multimodal Optimization Problems","publication_year":2020,"publication_date":"2020-12-29","ids":{"openalex":"https://openalex.org/W3117647011","doi":"https://doi.org/10.1109/tcyb.2020.3038694","mag":"3117647011","pmid":"https://pubmed.ncbi.nlm.nih.gov/33373312"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.3038694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3038694","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5101849635","display_name":"Zijia Wang","orcid":"https://orcid.org/0000-0002-2594-0934"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zi-Jia Wang","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","School of Computer Science and Cyber Engineering, Guangzhou University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Computer Science and Cyber Engineering, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056123187","display_name":"Yuren Zhou","orcid":"https://orcid.org/0000-0002-0497-0835"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Ren Zhou","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","Key Laboratory of Machine Intelligence and Advanced Computing, Ministry of Education, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Key Laboratory of Machine Intelligence and Advanced Computing, Ministry of Education, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100400217","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0001-7835-9871"},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Victoria University, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"Victoria University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I71270174"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101849635"],"corresponding_institution_ids":["https://openalex.org/I157773358","https://openalex.org/I37987034"],"apc_list":null,"apc_paid":null,"fwci":3.9788,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.94838616,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"52","issue":"7","first_page":"6059","last_page":"6070"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991000294685364,"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":0.9797999858856201,"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/local-optimum","display_name":"Local optimum","score":0.645318329334259},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5969687700271606},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5783742070198059},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.5692341923713684},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5681392550468445},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5176451802253723},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5029739737510681},{"id":"https://openalex.org/keywords/estimation-of-distribution-algorithm","display_name":"Estimation of distribution algorithm","score":0.46755942702293396},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.46281349658966064},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45328477025032043},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.42281556129455566},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3814490735530853},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3292183578014374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31777143478393555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20224803686141968}],"concepts":[{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.645318329334259},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5969687700271606},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5783742070198059},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.5692341923713684},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5681392550468445},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5176451802253723},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5029739737510681},{"id":"https://openalex.org/C162500139","wikidata":"https://www.wikidata.org/wiki/Q2835887","display_name":"Estimation of distribution algorithm","level":2,"score":0.46755942702293396},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.46281349658966064},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45328477025032043},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.42281556129455566},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3814490735530853},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3292183578014374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31777143478393555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20224803686141968},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1109/tcyb.2020.3038694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3038694","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:33373312","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33373312","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":"IEEE transactions on cybernetics","raw_type":null},{"id":"pmh:oai:eprints.vu.edu.au:45241","is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/45241/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3851559966","display_name":null,"funder_award_id":"61773410","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1566575399","https://openalex.org/W1755390828","https://openalex.org/W1968005908","https://openalex.org/W1979440007","https://openalex.org/W1985599680","https://openalex.org/W1998608446","https://openalex.org/W2015772998","https://openalex.org/W2016114852","https://openalex.org/W2017258920","https://openalex.org/W2021726697","https://openalex.org/W2026801861","https://openalex.org/W2042476863","https://openalex.org/W2047893268","https://openalex.org/W2051667550","https://openalex.org/W2054878539","https://openalex.org/W2068610075","https://openalex.org/W2077649826","https://openalex.org/W2096166399","https://openalex.org/W2098073879","https://openalex.org/W2111484142","https://openalex.org/W2131613989","https://openalex.org/W2152100799","https://openalex.org/W2159308419","https://openalex.org/W2165687335","https://openalex.org/W2285034650","https://openalex.org/W2510859465","https://openalex.org/W2527572108","https://openalex.org/W2729947839","https://openalex.org/W2732171826","https://openalex.org/W2762996449","https://openalex.org/W2769293273","https://openalex.org/W2808657175","https://openalex.org/W2905147046","https://openalex.org/W2919765767","https://openalex.org/W2924336431","https://openalex.org/W2938111495","https://openalex.org/W2950161378","https://openalex.org/W2968169296","https://openalex.org/W2968534587","https://openalex.org/W2973261831","https://openalex.org/W2977620944","https://openalex.org/W2981943969","https://openalex.org/W2995439684","https://openalex.org/W3006985132","https://openalex.org/W3013056622","https://openalex.org/W6727810767"],"related_works":["https://openalex.org/W2394392475","https://openalex.org/W2069937987","https://openalex.org/W1571424162","https://openalex.org/W2015132550","https://openalex.org/W3006802988","https://openalex.org/W2161410550","https://openalex.org/W2235797280","https://openalex.org/W1571925721","https://openalex.org/W1825560194","https://openalex.org/W2378600890"],"abstract_inverted_index":{"Multimodal":[0],"optimization":[1],"problems":[2],"(MMOPs)":[3],"require":[4],"algorithms":[5,14,56,71],"to":[6,16,24,133,143,207],"locate":[7],"multiple":[8,60],"optima":[9,61],"simultaneously.":[10],"When":[11],"using":[12,168],"evolutionary":[13],"(EAs)":[15],"deal":[17],"with":[18,213],"MMOPs,":[19],"an":[20,140],"intuitive":[21],"idea":[22],"is":[23,117,198],"divide":[25],"the":[26,74,82,86,152,158,169,180,186,195,209,218,224,229],"population":[27,41,77,155,181],"into":[28],"several":[29],"small":[30],"\"niches,\"":[31],"where":[32],"different":[33,38],"niches":[34,164],"focus":[35],"on":[36,103],"locating":[37,59],"optima.":[39,193],"These":[40],"partition":[42,78,156],"strategies":[43],"are":[44,64,165],"called":[45,65,118],"\"niching\"":[46],"techniques,":[47],"which":[48,116],"have":[49],"been":[50],"frequently":[51],"used":[52],"for":[53,57,120,183],"MMOPs.":[54,122],"The":[55,174],"simultaneously":[58],"of":[62,76,81,154,160,220,231],"MMOPs":[63],"multimodal":[66,70,215,222],"algorithms.":[67],"However,":[68],"many":[69],"still":[72],"face":[73],"difficulty":[75,153],"since":[79],"most":[80],"niching":[83,88,100,161],"techniques":[84],"involve":[85],"sensitive":[87],"parameters.":[89,162],"Considering":[90],"this":[91,94],"issue,":[92],"in":[93],"article,":[95],"we":[96,149],"propose":[97],"a":[98,110,135,145,202],"parameter-free":[99],"method":[101],"based":[102],"adaptive":[104],"estimation":[105],"distribution":[106],"(AED)":[107],"and":[108,137,157,189],"develop":[109],"distributed":[111,172],"differential":[112],"evolution":[113],"(DDE)":[114],"algorithm,":[115],"AED-DDE,":[119,124],"solving":[121],"In":[123],"each":[125],"individual":[126],"finds":[127],"its":[128],"own":[129],"appropriate":[130],"niche":[131,136],"size":[132],"form":[134],"acts":[138],"as":[139],"independent":[141],"unit":[142],"find":[144],"global":[146,192],"optimum.":[147],"Therefore,":[148],"can":[150,178],"avoid":[151],"sensitivity":[159],"Different":[163],"co-evolved":[166],"by":[167,201],"master-slave":[170],"multiniche":[171,175],"model.":[173],"co-evolution":[176],"mechanism":[177],"improve":[179],"diversity":[182],"fully":[184,227],"exploring":[185],"search":[187,205],"space":[188],"finding":[190],"more":[191],"Moreover,":[194],"AED-DDE":[196],"algorithm":[197],"further":[199],"enhanced":[200],"probabilistic":[203],"local":[204],"(PLS)":[206],"refine":[208],"solution":[210],"accuracy.":[211],"Compared":[212],"other":[214],"algorithms,":[216],"even":[217],"winner":[219],"CEC2015":[221],"competition,":[223],"comparison":[225],"results":[226],"demonstrate":[228],"superiority":[230],"AED-DDE.":[232]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2025-10-10T00:00:00"}