{"id":"https://openalex.org/W2101566415","doi":"https://doi.org/10.1109/fuzz.2002.1006654","title":"Improved covariance estimation for Gustafson-Kessel clustering","display_name":"Improved covariance estimation for Gustafson-Kessel clustering","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2101566415","doi":"https://doi.org/10.1109/fuzz.2002.1006654","mag":"2101566415"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2002.1006654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2002.1006654","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291)","raw_type":"proceedings-article"},"type":"article","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/A5054709726","display_name":"Robert Babuka","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"R. Babuka","raw_affiliation_strings":["Fac. ITS, Delft Univ. of Technol., Netherlands"],"affiliations":[{"raw_affiliation_string":"Fac. ITS, Delft Univ. of Technol., Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024803559","display_name":"Peter J. van der Veen","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"P.J. van der Veen","raw_affiliation_strings":["Faculty ITS, Delft University of Technology, Delft, GA, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty ITS, Delft University of Technology, Delft, GA, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080242338","display_name":"Uzay Kaymak","orcid":"https://orcid.org/0000-0002-4500-9098"},"institutions":[{"id":"https://openalex.org/I913958620","display_name":"Erasmus University Rotterdam","ror":"https://ror.org/057w15z03","country_code":"NL","type":"education","lineage":["https://openalex.org/I913958620"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"U. Kaymak","raw_affiliation_strings":["Faculty of Economics, Erasmus University Rotterdam, Rotterdam, DR, The Netheriands"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Erasmus University Rotterdam, Rotterdam, DR, The Netheriands","institution_ids":["https://openalex.org/I913958620"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054709726"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":6.8529,"has_fulltext":false,"cited_by_count":185,"citation_normalized_percentile":{"value":0.9679812,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"2","issue":null,"first_page":"1081","last_page":"1085"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9757000207901001,"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":0.9757000207901001,"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/T10057","display_name":"Face and Expression Recognition","score":0.973800003528595,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9625999927520752,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6902896165847778},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6094240546226501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5621079802513123},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5186656713485718},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42635378241539},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4084610939025879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37848490476608276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3533306121826172},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12498629093170166}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6902896165847778},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6094240546226501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5621079802513123},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5186656713485718},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42635378241539},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4084610939025879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37848490476608276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3533306121826172},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12498629093170166},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2002.1006654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2002.1006654","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291)","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":11,"referenced_works":["https://openalex.org/W1560688497","https://openalex.org/W1892412993","https://openalex.org/W1987801991","https://openalex.org/W1990368529","https://openalex.org/W1995038405","https://openalex.org/W2079325629","https://openalex.org/W2113076747","https://openalex.org/W2122780641","https://openalex.org/W3176049587","https://openalex.org/W4233391551","https://openalex.org/W6647172677"],"related_works":["https://openalex.org/W2804364458","https://openalex.org/W4298130764","https://openalex.org/W2132641928","https://openalex.org/W2090259340","https://openalex.org/W4310225030","https://openalex.org/W2083665254","https://openalex.org/W2393816671","https://openalex.org/W1534720161","https://openalex.org/W2804957450","https://openalex.org/W2942177010"],"abstract_inverted_index":{"This":[0,109],"article":[1],"presents":[2],"two":[3],"techniques":[4],"to":[5,104,118,127],"improve":[6],"the":[7,10,15,28,33,42,56,59,65,74,80,90,95,105,119,129,132],"calculation":[8],"of":[9,35,64,82,92,97,107,131],"fuzzy":[11,84],"covariance":[12,66,121],"matrix":[13,117],"in":[14,27,79,102],"Gustafson-Kessel":[16],"(GK)":[17],"clustering":[18,31],"algorithm.":[19],"The":[20,50,68],"first":[21],"one":[22],"overcomes":[23],"problems":[24],"that":[25],"occur":[26],"standard":[29],"GK":[30,75],"when":[32,41,73,94],"number":[34,96,106],"data":[36,43],"samples":[37,99],"is":[38,52,71,77,100,110],"small":[39],"or":[40],"within":[44],"a":[45,114],"cluster":[46],"are":[47,125],"linearly":[48],"correlated.":[49],"improvement":[51],"achieved":[53,111],"by":[54,112],"fixing":[55],"ratio":[57],"between":[58],"maximal":[60],"and":[61],"minimal":[62],"eigenvalue":[63],"matrix.":[67,122],"second":[69],"technique":[70],"useful":[72],"algorithm":[76],"employed":[78],"extraction":[81],"Takagi-Sugeno":[83],"model":[85],"from":[86],"data.":[87],"It":[88],"reduces":[89],"risk":[91],"overfitting":[93],"training":[98],"low":[101],"comparison":[103],"clusters.":[108],"adding":[113],"scaled":[115],"unity":[116],"calculated":[120],"Numerical":[123],"examples":[124],"presented":[126],"demonstrate":[128],"benefits":[130],"proposed":[133],"techniques.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":17},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":17}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
