{"id":"https://openalex.org/W2068610075","doi":"https://doi.org/10.1109/tcyb.2013.2282491","title":"A Cluster-Based Differential Evolution With Self-Adaptive Strategy for Multimodal Optimization","display_name":"A Cluster-Based Differential Evolution With Self-Adaptive Strategy for Multimodal Optimization","publication_year":2013,"publication_date":"2013-10-04","ids":{"openalex":"https://openalex.org/W2068610075","doi":"https://doi.org/10.1109/tcyb.2013.2282491","mag":"2068610075","pmid":"https://pubmed.ncbi.nlm.nih.gov/24108755"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2013.2282491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2282491","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/A5047167952","display_name":"Weifeng Gao","orcid":"https://orcid.org/0000-0003-3853-0771"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weifeng Gao","raw_affiliation_strings":["School of Science, Xidian University, Xi'an, China","[School of Science, Xidian University, Xi'an, China]"],"affiliations":[{"raw_affiliation_string":"School of Science, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"[School of Science, Xidian University, Xi'an, China]","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010638666","display_name":"Gary G. Yen","orcid":"https://orcid.org/0000-0001-8851-5348"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary G. Yen","raw_affiliation_strings":["School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, OK, USA","School of Electrical and Computer Engineering , Oklahoma State University , Stillwater , OK , USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, OK, USA","institution_ids":["https://openalex.org/I115475287"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering , Oklahoma State University , Stillwater , OK , USA","institution_ids":["https://openalex.org/I115475287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045137489","display_name":"Sanyang Liu","orcid":"https://orcid.org/0000-0002-3625-3398"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sanyang Liu","raw_affiliation_strings":["School of Science, Xidian University, Xi'an, China","[School of Science, Xidian University, Xi'an, China]"],"affiliations":[{"raw_affiliation_string":"School of Science, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"[School of Science, Xidian University, Xi'an, China]","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047167952"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":11.5109,"has_fulltext":false,"cited_by_count":213,"citation_normalized_percentile":{"value":0.98317718,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"44","issue":"8","first_page":"1314","last_page":"1327"},"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":0.9993000030517578,"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":0.9952999949455261,"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/differential-evolution","display_name":"Differential evolution","score":0.67622309923172},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6525692939758301},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6182441711425781},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5839517116546631},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5242588520050049},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5024070739746094},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.49100521206855774},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4865831136703491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46457964181900024},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4536903500556946},{"id":"https://openalex.org/keywords/partition-problem","display_name":"Partition problem","score":0.4482833445072174},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36102038621902466},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3319825232028961}],"concepts":[{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.67622309923172},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6525692939758301},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6182441711425781},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5839517116546631},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5242588520050049},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5024070739746094},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.49100521206855774},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4865831136703491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46457964181900024},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4536903500556946},{"id":"https://openalex.org/C35995877","wikidata":"https://www.wikidata.org/wiki/Q1065968","display_name":"Partition problem","level":3,"score":0.4482833445072174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36102038621902466},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3319825232028961},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2013.2282491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2282491","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:24108755","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24108755","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}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5318723925","display_name":null,"funder_award_id":"61373174","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":39,"referenced_works":["https://openalex.org/W297132897","https://openalex.org/W1511662842","https://openalex.org/W1595159159","https://openalex.org/W1806029947","https://openalex.org/W1965392777","https://openalex.org/W1966334496","https://openalex.org/W1968005908","https://openalex.org/W1981015742","https://openalex.org/W1986512036","https://openalex.org/W2003880734","https://openalex.org/W2011733579","https://openalex.org/W2012996711","https://openalex.org/W2017258920","https://openalex.org/W2018299061","https://openalex.org/W2042476863","https://openalex.org/W2054878539","https://openalex.org/W2058865171","https://openalex.org/W2059125944","https://openalex.org/W2066173509","https://openalex.org/W2081710833","https://openalex.org/W2083281224","https://openalex.org/W2092765586","https://openalex.org/W2098073879","https://openalex.org/W2098540440","https://openalex.org/W2099129608","https://openalex.org/W2100671879","https://openalex.org/W2110335153","https://openalex.org/W2137340504","https://openalex.org/W2143285680","https://openalex.org/W2152100799","https://openalex.org/W2155529731","https://openalex.org/W2156194072","https://openalex.org/W2162145193","https://openalex.org/W2164264071","https://openalex.org/W2165687335","https://openalex.org/W2170436854","https://openalex.org/W6610646899","https://openalex.org/W6630432163","https://openalex.org/W6638122816"],"related_works":["https://openalex.org/W1549987457","https://openalex.org/W2025912669","https://openalex.org/W1977789739","https://openalex.org/W2014615094","https://openalex.org/W2047470742","https://openalex.org/W2351778335","https://openalex.org/W2497180562","https://openalex.org/W2161410550","https://openalex.org/W2379495598","https://openalex.org/W2767131998"],"abstract_inverted_index":{"Multimodal":[0],"optimization":[1,33,50],"is":[2,55,77],"one":[3],"of":[4,84,104,128,146],"the":[5,59,73,81,89,94,142,147,152,165],"most":[6],"challenging":[7],"tasks":[8],"for":[9,48],"optimization.":[10],"It":[11],"requires":[12],"an":[13],"algorithm":[14],"to":[15,57,79,101],"effectively":[16],"locate":[17,69],"multiple":[18],"global":[19,32],"and":[20,93,109,116,131,144,151],"local":[21],"optima,":[22],"not":[23],"just":[24],"single":[25,30],"optimum":[26],"as":[27],"in":[28],"a":[29,43],"objective":[31],"problem.":[34],"To":[35],"address":[36],"this":[37,39,87],"objective,":[38],"paper":[40],"first":[41],"investigates":[42],"cluster-based":[44],"differential":[45],"evolution":[46],"(DE)":[47],"multimodal":[49],"problems.":[51],"The":[52,119,138,157],"clustering":[53],"partition":[54],"used":[56],"divide":[58],"whole":[60],"population":[61],"into":[62],"subpopulations":[63,67],"so":[64],"that":[65],"different":[66,70,126],"can":[68],"optima.":[71],"Furthermore,":[72],"self-adaptive":[74,95,153],"parameter":[75,96,154],"control":[76,97,155],"employed":[78],"enhance":[80],"search":[82],"ability":[83],"DE.":[85],"In":[86],"paper,":[88],"proposed":[90,148,158],"multipopulation":[91,149],"strategy":[92,150],"technique":[98],"are":[99,122,132],"applied":[100],"two":[102,125],"versions":[103],"DE,":[105],"crowding":[106],"DE":[107,111],"(CDE)":[108],"species-based":[110],"(SDE),":[112],"which":[113],"yield":[114],"self-CCDE":[115],"self-CSDE,":[117],"respectively.":[118],"new":[120],"algorithms":[121,159],"tested":[123],"on":[124],"sets":[127],"benchmark":[129],"functions":[130],"compared":[133],"with":[134],"several":[135],"state-of-the-art":[136,167],"designs.":[137],"experiment":[139],"results":[140],"demonstrate":[141],"effectiveness":[143],"efficiency":[145],"technique.":[156],"consistently":[160],"rank":[161],"top":[162],"among":[163],"all":[164],"competing":[166],"algorithms.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":27},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":33},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}