{"id":"https://openalex.org/W3173803351","doi":"https://doi.org/10.1145/3449639.3459341","title":"A survey of cluster validity indices for automatic data clustering using differential evolution","display_name":"A survey of cluster validity indices for automatic data clustering using differential evolution","publication_year":2021,"publication_date":"2021-06-21","ids":{"openalex":"https://openalex.org/W3173803351","doi":"https://doi.org/10.1145/3449639.3459341","mag":"3173803351"},"language":"en","primary_location":{"id":"doi:10.1145/3449639.3459341","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3449639.3459341","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3449639.3459341&file=p314-jose-garcia_suppl.pdf","source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3449639.3459341&file=p314-jose-garcia_suppl.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027615665","display_name":"Ad\u00e1n Jos\u00e9-Garc\u00eda","orcid":"https://orcid.org/0000-0003-2623-5206"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ad\u00e1n Jos\u00e9-Garc\u00eda","raw_affiliation_strings":["Univ. Lille, Lille, France","Operational Research, Knowledge And Data"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lille, Lille, France","institution_ids":["https://openalex.org/I2279609970"]},{"raw_affiliation_string":"Operational Research, Knowledge And Data","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055336473","display_name":"Wilfrido G\u00f3mez\u2010Flores","orcid":"https://orcid.org/0000-0001-6758-6155"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Wilfrido G\u00f3mez-Flores","raw_affiliation_strings":["Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Tamaulipas, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Tamaulipas, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.784,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.92474278,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"314","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9861999750137329,"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/cluster-analysis","display_name":"Cluster analysis","score":0.8769910335540771},{"id":"https://openalex.org/keywords/silhouette","display_name":"Silhouette","score":0.7259716391563416},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6781697869300842},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.6580184698104858},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.6310662031173706},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.5775277018547058},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5661091804504395},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.4871911406517029},{"id":"https://openalex.org/keywords/determining-the-number-of-clusters-in-a-data-set","display_name":"Determining the number of clusters in a data set","score":0.4700148403644562},{"id":"https://openalex.org/keywords/k-medians-clustering","display_name":"k-medians clustering","score":0.4220470190048218},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.38481757044792175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35870134830474854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34934675693511963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.325764536857605}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8769910335540771},{"id":"https://openalex.org/C58103923","wikidata":"https://www.wikidata.org/wiki/Q2286025","display_name":"Silhouette","level":2,"score":0.7259716391563416},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6781697869300842},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.6580184698104858},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.6310662031173706},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.5775277018547058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5661091804504395},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.4871911406517029},{"id":"https://openalex.org/C149872217","wikidata":"https://www.wikidata.org/wiki/Q5265701","display_name":"Determining the number of clusters in a data set","level":5,"score":0.4700148403644562},{"id":"https://openalex.org/C115328559","wikidata":"https://www.wikidata.org/wiki/Q4041956","display_name":"k-medians clustering","level":5,"score":0.4220470190048218},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.38481757044792175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35870134830474854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34934675693511963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.325764536857605},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3449639.3459341","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3449639.3459341","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3449639.3459341&file=p314-jose-garcia_suppl.pdf","source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03271939v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03271939","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GECCO '21: Genetic and Evolutionary Computation Conference, Jul 2021, Lille, France. pp.314-322, ⟨10.1145/3449639.3459341⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1145/3449639.3459341","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3449639.3459341","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F3449639.3459341&file=p314-jose-garcia_suppl.pdf","source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3173803351.pdf","grobid_xml":"https://content.openalex.org/works/W3173803351.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W105550267","https://openalex.org/W1558758677","https://openalex.org/W1592827165","https://openalex.org/W1595159159","https://openalex.org/W1613273921","https://openalex.org/W1697154133","https://openalex.org/W1970351663","https://openalex.org/W1975152892","https://openalex.org/W1981566656","https://openalex.org/W1985059878","https://openalex.org/W1987971958","https://openalex.org/W1988497044","https://openalex.org/W1990368529","https://openalex.org/W1996344812","https://openalex.org/W1996747841","https://openalex.org/W1999075329","https://openalex.org/W2003094092","https://openalex.org/W2008788779","https://openalex.org/W2034986427","https://openalex.org/W2039240409","https://openalex.org/W2041798919","https://openalex.org/W2045691329","https://openalex.org/W2051224630","https://openalex.org/W2054475422","https://openalex.org/W2076408892","https://openalex.org/W2077748623","https://openalex.org/W2085487226","https://openalex.org/W2085614456","https://openalex.org/W2090365396","https://openalex.org/W2100170252","https://openalex.org/W2108031918","https://openalex.org/W2108323654","https://openalex.org/W2117059686","https://openalex.org/W2127962710","https://openalex.org/W2138810473","https://openalex.org/W2171975443","https://openalex.org/W2219898335","https://openalex.org/W2305547433","https://openalex.org/W2329898596","https://openalex.org/W2615777149","https://openalex.org/W3120740533","https://openalex.org/W3151429006","https://openalex.org/W4235169531","https://openalex.org/W4241582122"],"related_works":["https://openalex.org/W2156810603","https://openalex.org/W2367377022","https://openalex.org/W1584028106","https://openalex.org/W2389804866","https://openalex.org/W2393816671","https://openalex.org/W2386689530","https://openalex.org/W2216440784","https://openalex.org/W3092684173","https://openalex.org/W3113302101","https://openalex.org/W2607336455"],"abstract_inverted_index":{"In":[0],"cluster":[1,34,63],"analysis,":[2],"the":[3,9,13,19,46,57,79,93,146,159,178,185,191],"automatic":[4],"clustering":[5,106,169,184],"problem":[6,30],"refers":[7],"to":[8,44,60,77],"determination":[10],"of":[11,16,48,67,95,190],"both":[12,123],"appropriate":[14],"number":[15],"clusters":[17],"and":[18,70,87,125,128,163,173],"corresponding":[20],"natural":[21],"partitioning.":[22],"This":[23,90],"can":[24],"be":[25],"addressed":[26],"as":[27,40,100],"an":[28,104,151,167],"optimization":[29],"in":[31,56,65,81,103,154,171,183],"which":[32,82],"a":[33,41],"validity":[35],"index":[36,148],"(CVI)":[37],"is":[38,75],"used":[39,99],"fitness":[42,101],"function":[43],"evaluate":[45],"quality":[47],"potential":[49],"solutions.":[50],"Different":[51],"CVIs":[52,84,98,180],"have":[53],"been":[54],"proposed":[55],"literature,":[58],"aiming":[59],"identify":[61,78],"adequate":[62,168],"solutions":[64],"terms":[66],"intracluster":[68],"cohesion":[69],"intercluster":[71],"separation.":[72],"However,":[73],"it":[74],"important":[76],"scenarios":[80],"these":[83],"perform":[85],"well":[86],"their":[88],"limitations.":[89],"paper":[91],"evaluates":[92],"effectiveness":[94],"22":[96],"different":[97],"functions":[102],"evolutionary":[105],"algorithm":[107],"named":[108],"ACDE":[109],"based":[110],"on":[111],"differential":[112],"evolution.":[113],"Several":[114],"synthetic":[115,172],"datasets":[116,137],"are":[117,138],"considered:":[118],"linearly":[119,155],"separable":[120,130,156,187],"data":[121,131,188,194],"having":[122,132],"well-separated":[124],"overlapped":[126],"clusters,":[127],"non-linearly":[129,186],"arbitrarily-shaped":[133],"clusters.":[134],"Besides,":[135],"real-life":[136,174],"also":[139],"considered.":[140],"The":[141],"experimental":[142],"results":[143],"indicate":[144],"that":[145],"Silhouette":[147],"consistently":[149],"reached":[150],"acceptable":[152],"performance":[153,170],"data.":[157],"Furthermore,":[158],"indices":[160],"Calinski-Harabasz,":[161],"Davies-Bouldin,":[162],"generalized":[164],"Dunn":[165],"obtained":[166],"datasets.":[175],"Notably,":[176],"all":[177],"evaluated":[179],"performed":[181],"poorly":[182],"because":[189],"assumptions":[192],"about":[193],"distributions.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}