{"id":"https://openalex.org/W2126841964","doi":"https://doi.org/10.1109/fuzzy.2011.6007312","title":"PCA-guided k-Means clustering with incomplete data","display_name":"PCA-guided k-Means clustering with incomplete data","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2126841964","doi":"https://doi.org/10.1109/fuzzy.2011.6007312","mag":"2126841964"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2011.6007312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007312","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","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/A5065073668","display_name":"Katsuhiro Honda","orcid":"https://orcid.org/0000-0001-9080-5942"},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Katsuhiro Honda","raw_affiliation_strings":["Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086246600","display_name":"Ryoichi Nonoguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryoichi Nonoguchi","raw_affiliation_strings":["Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068927261","display_name":"Akira Notsu","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Notsu","raw_affiliation_strings":["Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111906720","display_name":"Hidetomo Ichihashi","orcid":null},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hidetomo Ichihashi","raw_affiliation_strings":["Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Computer Science and Intelligent Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065073668"],"corresponding_institution_ids":["https://openalex.org/I15807432"],"apc_list":null,"apc_paid":null,"fwci":0.8552,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.80417606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1710","last_page":"1714"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.996399998664856,"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":0.996399998664856,"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":0.9957000017166138,"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":0.9810000061988831,"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":0.8122105598449707},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.7869755029678345},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.6854051351547241},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.6277769804000854},{"id":"https://openalex.org/keywords/imputation","display_name":"Imputation (statistics)","score":0.5839598178863525},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5340228080749512},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.503004252910614},{"id":"https://openalex.org/keywords/iterative-and-incremental-development","display_name":"Iterative and incremental development","score":0.49079737067222595},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4892747104167938},{"id":"https://openalex.org/keywords/k-medians-clustering","display_name":"k-medians clustering","score":0.4788527488708496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4748813509941101},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4708062410354614},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4535561203956604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4467235803604126},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.43700987100601196},{"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":0.43335914611816406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41256529092788696},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.33356472849845886},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.28332051634788513},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25074201822280884},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1920851767063141},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14005106687545776}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8122105598449707},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7869755029678345},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.6854051351547241},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.6277769804000854},{"id":"https://openalex.org/C58041806","wikidata":"https://www.wikidata.org/wiki/Q1660484","display_name":"Imputation (statistics)","level":3,"score":0.5839598178863525},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5340228080749512},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.503004252910614},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.49079737067222595},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4892747104167938},{"id":"https://openalex.org/C115328559","wikidata":"https://www.wikidata.org/wiki/Q4041956","display_name":"k-medians clustering","level":5,"score":0.4788527488708496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4748813509941101},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4708062410354614},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4535561203956604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4467235803604126},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.43700987100601196},{"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":0.43335914611816406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41256529092788696},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.33356472849845886},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.28332051634788513},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25074201822280884},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1920851767063141},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14005106687545776},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2011.6007312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007312","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","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":19,"referenced_works":["https://openalex.org/W1513013675","https://openalex.org/W1978394996","https://openalex.org/W1990687214","https://openalex.org/W2050551672","https://openalex.org/W2069840066","https://openalex.org/W2074334456","https://openalex.org/W2099242680","https://openalex.org/W2113076747","https://openalex.org/W2116442055","https://openalex.org/W2127218421","https://openalex.org/W2132167346","https://openalex.org/W2138036661","https://openalex.org/W2147000446","https://openalex.org/W2167898351","https://openalex.org/W2266678602","https://openalex.org/W2325843749","https://openalex.org/W3120740533","https://openalex.org/W6678914141","https://openalex.org/W6693290031"],"related_works":["https://openalex.org/W2263992973","https://openalex.org/W2141140100","https://openalex.org/W2338192130","https://openalex.org/W3209217468","https://openalex.org/W1544932455","https://openalex.org/W2441533024","https://openalex.org/W2308893070","https://openalex.org/W2352963450","https://openalex.org/W1983129348","https://openalex.org/W2125631209"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"k-Means":[3,17,40,53,81,139],"clustering":[4,18],"of":[5,16,39,77,80,96,107],"incomplete":[6],"data":[7,109],"sets":[8],"including":[9],"missing":[10,112],"values.":[11],"Although":[12],"the":[13,51,93,108,119,138],"main":[14],"purpose":[15],"is":[19,55,122,131],"to":[20,57,125],"partition":[21],"samples":[22],"into":[23],"several":[24],"homogeneous":[25],"clusters":[26],"by":[27],"minimizing":[28],"within-cluster":[29],"errors,":[30],"it":[31,130],"has":[32],"been":[33],"shown":[34],"that":[35,118],"a":[36,45,58,74],"relaxed":[37],"solution":[38,76],"can":[41,70],"be":[42,71],"recovered":[43],"in":[44,60,85],"PCA-guided":[46,52,120],"manner.":[47],"In":[48],"this":[49],"paper,":[50],"procedure":[54,140],"extended":[56],"situation":[59],"which":[61,69],"some":[62],"observations":[63],"are":[64,83,101],"missing.":[65],"Principal":[66],"component":[67],"scores,":[68],"identified":[72],"with":[73],"rotated":[75],"cluster":[78],"indicators":[79],"clustering,":[82],"estimated":[84],"an":[86],"iterative":[87,134],"process":[88,121],"without":[89],"imputation.":[90],"Besides":[91],"solving":[92],"eigenvalue":[94],"problem":[95],"covariance":[97],"matrices,":[98],"k-Means-like":[99],"partitions":[100],"derived":[102],"through":[103],"lower":[104],"rank":[105],"approximation":[106],"matrix":[110],"ignoring":[111],"elements.":[113],"Several":[114],"experimental":[115],"results":[116],"demonstrate":[117],"more":[123],"robust":[124],"initialization":[126],"problems":[127],"even":[128],"though":[129],"based":[132],"on":[133],"optimization,":[135],"just":[136],"as":[137],"is.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
