{"id":"https://openalex.org/W2801398730","doi":"https://doi.org/10.1109/tevc.2018.2828643","title":"NK Hybrid Genetic Algorithm for Clustering","display_name":"NK Hybrid Genetic Algorithm for Clustering","publication_year":2018,"publication_date":"2018-04-19","ids":{"openalex":"https://openalex.org/W2801398730","doi":"https://doi.org/10.1109/tevc.2018.2828643","mag":"2801398730"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2018.2828643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2018.2828643","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2402.03813","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040638379","display_name":"Renato Tin\u00f3s","orcid":"https://orcid.org/0000-0003-4027-8851"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Renato Tinos","raw_affiliation_strings":["Department of Computing and Mathematics, University of S\u00e3o Paulo, Ribeir\u00e3o Preto, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematics, University of S\u00e3o Paulo, Ribeir\u00e3o Preto, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100697945","display_name":"Liang Zhao","orcid":"https://orcid.org/0000-0002-1502-6604"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Liang Zhao","raw_affiliation_strings":["Department of Computing and Mathematics, University of S\u00e3o Paulo, Ribeir\u00e3o Preto, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematics, University of S\u00e3o Paulo, Ribeir\u00e3o Preto, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059074668","display_name":"Francisco Chicano","orcid":"https://orcid.org/0000-0003-1259-2990"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Chicano","raw_affiliation_strings":["Department of Lenguajes y Ciencias de la Computaci\u00f3n, University of M\u00e1laga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Lenguajes y Ciencias de la Computaci\u00f3n, University of M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001932161","display_name":"Darrell Whitley","orcid":"https://orcid.org/0000-0002-2752-6534"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Darrell Whitley","raw_affiliation_strings":["Department of Computer Science, Colorado State University, Fort Collins, CO, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040638379"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":6.6003,"has_fulltext":true,"cited_by_count":55,"citation_normalized_percentile":{"value":0.97286832,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"22","issue":"5","first_page":"748","last_page":"761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9983999729156494,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9983999729156494,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9771999716758728,"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/T11106","display_name":"Data Management and Algorithms","score":0.9624999761581421,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/cluster-analysis","display_name":"Cluster analysis","score":0.8230558633804321},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.567724347114563},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5296047925949097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5093117952346802},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.48416000604629517},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4713798463344574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37631016969680786},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31621646881103516},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.20853158831596375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19440710544586182}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8230558633804321},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.567724347114563},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5296047925949097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5093117952346802},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.48416000604629517},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4713798463344574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37631016969680786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31621646881103516},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.20853158831596375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19440710544586182}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tevc.2018.2828643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2018.2828643","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2402.03813","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.03813","pdf_url":"https://arxiv.org/pdf/2402.03813","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:002936229","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/tevc.2018.2828643","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:riuma.uma.es:10630/29920","is_oa":true,"landing_page_url":"https://hdl.handle.net/10630/29920","pdf_url":null,"source":{"id":"https://openalex.org/S4306401385","display_name":"Repositorio Institucional de la Universidad de M\u00e1laga (University of M\u00e1laga)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82767444","host_organization_name":"Universidad de M\u00e1laga","host_organization_lineage":["https://openalex.org/I82767444"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"AM"},{"id":"doi:10.5281/zenodo.10623152","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.10623152","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2402.03813","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.03813","pdf_url":"https://arxiv.org/pdf/2402.03813","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7099999785423279,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1120751535","display_name":null,"funder_award_id":"2015/06462-1","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G1322271560","display_name":null,"funder_award_id":"15/50122-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G137678874","display_name":null,"funder_award_id":"2015-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G1789795692","display_name":"Recombination by decomposition in evolutionary computation","funder_award_id":"15/06462-1","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G2486662831","display_name":null,"funder_award_id":"2013/07375-","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G2531307570","display_name":null,"funder_award_id":"2015/50122-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2608541473","display_name":null,"funder_award_id":"304400/2014-9","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2744736720","display_name":null,"funder_award_id":"13/07375-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G2869337368","display_name":null,"funder_award_id":"TIN2014-57341-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3601516360","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4402799499","display_name":null,"funder_award_id":"2015/","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G5700904287","display_name":null,"funder_award_id":"CAS12/00274","funder_id":"https://openalex.org/F4320321764","funder_display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte"},{"id":"https://openalex.org/G5933354011","display_name":null,"funder_award_id":"2015/50122","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G5990746028","display_name":null,"funder_award_id":"2013/07375-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6119542513","display_name":null,"funder_award_id":"2015/50122-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6268642774","display_name":null,"funder_award_id":"303012/2015-3","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G6669552033","display_name":null,"funder_award_id":"2013/07375-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G6939682987","display_name":null,"funder_award_id":"13/07375-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7418193128","display_name":null,"funder_award_id":"2014-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8099256583","display_name":null,"funder_award_id":"2015-3","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8119643271","display_name":null,"funder_award_id":"TIN2017-88213-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321764","display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte","ror":"https://ror.org/03nc27g21"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2801398730.pdf","grobid_xml":"https://content.openalex.org/works/W2801398730.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1480041378","https://openalex.org/W1558758677","https://openalex.org/W1664762403","https://openalex.org/W1673310716","https://openalex.org/W1975152892","https://openalex.org/W1983494083","https://openalex.org/W2022686119","https://openalex.org/W2040929534","https://openalex.org/W2049814849","https://openalex.org/W2072262316","https://openalex.org/W2085283640","https://openalex.org/W2102281241","https://openalex.org/W2108020239","https://openalex.org/W2120529703","https://openalex.org/W2127218421","https://openalex.org/W2129066856","https://openalex.org/W2165835468","https://openalex.org/W2252640007","https://openalex.org/W2295256067","https://openalex.org/W2307488054","https://openalex.org/W2343683370","https://openalex.org/W2408186052","https://openalex.org/W2432267564","https://openalex.org/W2487258512","https://openalex.org/W2493958097","https://openalex.org/W2952393890","https://openalex.org/W2999729612","https://openalex.org/W3120740533","https://openalex.org/W4235169531","https://openalex.org/W4388252848","https://openalex.org/W6628642887","https://openalex.org/W6637131181","https://openalex.org/W6678914141","https://openalex.org/W6691446306","https://openalex.org/W6697947489"],"related_works":["https://openalex.org/W2347477706","https://openalex.org/W4299389082","https://openalex.org/W1943663474","https://openalex.org/W2306830238","https://openalex.org/W2110294633","https://openalex.org/W1978349322","https://openalex.org/W2014162767","https://openalex.org/W2115729582","https://openalex.org/W2809283963","https://openalex.org/W2367260997"],"abstract_inverted_index":{"The":[0,139],"NK":[1,24,140,164],"hybrid":[2,20,141,165],"genetic":[3],"algorithm":[4,21],"(GA)":[5],"for":[6],"clustering":[7,25,180],"is":[8,44,77,116],"proposed":[9],"in":[10,80],"this":[11],"paper.":[12],"In":[13,70,111,160],"order":[14],"to":[15,84,173,178],"evaluate":[16],"the":[17,19,23,34,52,72,106,113,126,144,152,156,161,163],"solutions,":[18],"uses":[22,31],"validation":[26],"criterion":[27],"2":[28,129],"(NKCV2).":[29],"NKCV2":[30,65],"information":[32,104],"about":[33,105],"disposition":[35],"of":[36,40,46,51,146,155,158],"N":[37],"small":[38,68],"groups":[39],"objects.":[41],"Each":[42],"group":[43],"composed":[45],"K":[47],"+":[48],"1":[49],"objects":[50],"dataset.":[53],"Experimental":[54],"results":[55,170],"show":[56],"that":[57],"density-based":[58],"regions":[59],"can":[60],"be":[61],"identified":[62],"by":[63],"using":[64,103],"with":[66,135,148],"fixed":[67],"K.":[69],"NKCV2,":[71],"relationship":[73,107],"between":[74,108],"decision":[75,109],"variables":[76],"known,":[78],"which":[79],"turn":[81],"allows":[82,143],"us":[83],"apply":[85],"gray":[86],"box":[87],"optimization.":[88],"Mutation":[89],"operators,":[90],"a":[91,96],"partition":[92],"crossover":[93],"(PX),":[94],"and":[95,151,177],"local":[97],"search":[98],"strategy":[99],"are":[100],"proposed,":[101],"all":[102],"variables.":[110],"PX,":[112],"evaluation":[114],"function":[115],"decomposed":[117],"into":[118],"q":[119],"independent":[120],"components;":[121],"PX":[122],"then":[123],"deterministically":[124],"returns":[125],"best":[127],"among":[128],"<sup":[130],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[131],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sup>":[132],"possible":[133],"offspring":[134],"computational":[136],"complexity":[137],"O(N).":[138],"GA":[142,166,175],"detection":[145],"clusters":[147],"arbitrary":[149],"shapes":[150],"automatic":[153],"estimation":[154],"number":[157],"clusters.":[159],"experiments,":[162],"produced":[167],"very":[168],"good":[169],"when":[171],"compared":[172],"another":[174],"approach":[176],"state-of-art":[179],"algorithms.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}