{"id":"https://openalex.org/W2568618480","doi":"https://doi.org/10.1109/tkde.2017.2650229","title":"Spectral Ensemble Clustering via Weighted K-Means: Theoretical and Practical Evidence","display_name":"Spectral Ensemble Clustering via Weighted K-Means: Theoretical and Practical Evidence","publication_year":2017,"publication_date":"2017-01-09","ids":{"openalex":"https://openalex.org/W2568618480","doi":"https://doi.org/10.1109/tkde.2017.2650229","mag":"2568618480"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2017.2650229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2017.2650229","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-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/A5086089915","display_name":"Hongfu Liu","orcid":"https://orcid.org/0000-0002-4261-8154"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hongfu Liu","raw_affiliation_strings":["Department of Electrical & Computer Engineering, Northeastern University, Boston, MA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112210049","display_name":"Junjie Wu","orcid":"https://orcid.org/0009-0009-4993-8976"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjie Wu","raw_affiliation_strings":["School of Economics and Management, Beihang University, Beijing Shi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beihang University, Beijing Shi, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065250332","display_name":"Tongliang Liu","orcid":"https://orcid.org/0000-0002-9640-6472"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tongliang Liu","raw_affiliation_strings":["Centre for Artificial Intelligence, University of Technology Sydney, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Artificial Intelligence, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074103823","display_name":"Dacheng Tao","orcid":"https://orcid.org/0000-0001-7225-5449"},"institutions":[{"id":"https://openalex.org/I4210128581","display_name":"Information and Communication Technologies Centre","ror":"https://ror.org/034x2fx50","country_code":"AU","type":"facility","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4210128581","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dacheng Tao","raw_affiliation_strings":["School of Information Technologies and the Faculty of Engineering and Information Technologies, University of Sydney, Darlington, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Technologies and the Faculty of Engineering and Information Technologies, University of Sydney, Darlington, NSW, Australia","institution_ids":["https://openalex.org/I4210128581","https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005819096","display_name":"Yun Fu","orcid":"https://orcid.org/0000-0002-5098-2853"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yun Fu","raw_affiliation_strings":["Department of Electrical & Computer Engineering, Northeastern University, Boston, MA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5086089915"],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":null,"apc_paid":null,"fwci":8.3175,"has_fulltext":false,"cited_by_count":203,"citation_normalized_percentile":{"value":0.98450378,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"29","issue":"5","first_page":"1129","last_page":"1143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9962000250816345,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9958999752998352,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9932000041007996,"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":0.7921948432922363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7377644777297974},{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.671750545501709},{"id":"https://openalex.org/keywords/consensus-clustering","display_name":"Consensus clustering","score":0.6115946769714355},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4965096116065979},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.4486546218395233},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.40959644317626953},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.39400309324264526},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3666471242904663},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31507477164268494}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7921948432922363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7377644777297974},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.671750545501709},{"id":"https://openalex.org/C186767784","wikidata":"https://www.wikidata.org/wiki/Q5162841","display_name":"Consensus clustering","level":5,"score":0.6115946769714355},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4965096116065979},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.4486546218395233},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.40959644317626953},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.39400309324264526},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3666471242904663},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31507477164268494}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tkde.2017.2650229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2017.2650229","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/123864","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/123864","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.5}],"awards":[{"id":"https://openalex.org/G1001484098","display_name":null,"funder_award_id":"71322104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1550384158","display_name":null,"funder_award_id":"71171007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1665311145","display_name":null,"funder_award_id":"1314484","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G2106712493","display_name":null,"funder_award_id":"LP-150100671","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G4054672515","display_name":null,"funder_award_id":"1651902","funder_id":"https://openalex.org/F4320337389","funder_display_name":"Division of Information and Intelligent Systems"},{"id":"https://openalex.org/G4803600681","display_name":null,"funder_award_id":"71471009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5152102630","display_name":null,"funder_award_id":"U1636210","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5329554664","display_name":null,"funder_award_id":"DP-140102164","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G5415502266","display_name":null,"funder_award_id":"71531001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5659964068","display_name":null,"funder_award_id":"FT-130101457","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8751288866","display_name":null,"funder_award_id":"2013B01035","funder_id":"https://openalex.org/F4320323157","funder_display_name":"National Center for International Joint Research on E-Business Information Processing"},{"id":"https://openalex.org/G8892984891","display_name":null,"funder_award_id":"71490723","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323157","display_name":"National Center for International Joint Research on E-Business Information Processing","ror":"https://ror.org/031y8am81"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320337388","display_name":"Division of Computer and Network Systems","ror":"https://ror.org/02rdzmk74"},{"id":"https://openalex.org/F4320337389","display_name":"Division of Information and Intelligent Systems","ror":"https://ror.org/053a2cp42"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W52928708","https://openalex.org/W100104462","https://openalex.org/W113242008","https://openalex.org/W1546851689","https://openalex.org/W1599173567","https://openalex.org/W1836353685","https://openalex.org/W1892947258","https://openalex.org/W1967761844","https://openalex.org/W1986007546","https://openalex.org/W1990063425","https://openalex.org/W2002767255","https://openalex.org/W2011494630","https://openalex.org/W2034662733","https://openalex.org/W2036987424","https://openalex.org/W2046025323","https://openalex.org/W2055699991","https://openalex.org/W2086808754","https://openalex.org/W2096765209","https://openalex.org/W2101324110","https://openalex.org/W2108502868","https://openalex.org/W2111596024","https://openalex.org/W2114555716","https://openalex.org/W2117420919","https://openalex.org/W2123576058","https://openalex.org/W2127218421","https://openalex.org/W2129630294","https://openalex.org/W2135498906","https://openalex.org/W2135674549","https://openalex.org/W2135748228","https://openalex.org/W2137216203","https://openalex.org/W2139280638","https://openalex.org/W2139580617","https://openalex.org/W2142674578","https://openalex.org/W2142766915","https://openalex.org/W2143384329","https://openalex.org/W2144419338","https://openalex.org/W2151860489","https://openalex.org/W2152478904","https://openalex.org/W2154415691","https://openalex.org/W2166782149","https://openalex.org/W2171903410","https://openalex.org/W2176433868","https://openalex.org/W2181159407","https://openalex.org/W2223051473","https://openalex.org/W2252890564","https://openalex.org/W2294414050","https://openalex.org/W2386997096","https://openalex.org/W2403395216","https://openalex.org/W2405459681","https://openalex.org/W2537295773","https://openalex.org/W2540093921","https://openalex.org/W2604847894","https://openalex.org/W3101747232","https://openalex.org/W3121976317","https://openalex.org/W4285719527","https://openalex.org/W6602087472","https://openalex.org/W6604586687","https://openalex.org/W6674201379","https://openalex.org/W6675134712","https://openalex.org/W6677207193","https://openalex.org/W6678914141","https://openalex.org/W6682642966","https://openalex.org/W6682991666","https://openalex.org/W6685357932","https://openalex.org/W6685423869","https://openalex.org/W6735757043"],"related_works":["https://openalex.org/W1979094538","https://openalex.org/W2287240295","https://openalex.org/W2111119584","https://openalex.org/W4382052822","https://openalex.org/W2606552659","https://openalex.org/W4301002638","https://openalex.org/W2311450085","https://openalex.org/W3035964814","https://openalex.org/W3124860551","https://openalex.org/W2309230723"],"abstract_inverted_index":{"As":[0],"a":[1,27,34,151,188],"promising":[2,189],"way":[3],"for":[4,154,191],"heterogeneous":[5],"data":[6,156,164,193],"analytics,":[7],"consensus":[8,31,95],"clustering":[9,32,157,171],"has":[10],"attracted":[11],"increasing":[12],"attention":[13],"in":[14,66,124,166],"recent":[15],"decades.":[16],"Among":[17],"various":[18,162],"excellent":[19],"solutions,":[20],"the":[21,39,61,75,87,93,105,114,129,141,174],"co-association":[22,64,109],"matrix":[23,65,110],"based":[24,111,148],"methods":[25,112,115],"form":[26],"landmark,":[28],"which":[29,84,99,150],"redefines":[30],"as":[33],"graph":[35],"partition":[36],"problem.":[37],"Nevertheless,":[38],"relatively":[40],"high":[41],"time":[42],"and":[43,80,132,169],"space":[44],"complexities":[45],"preclude":[46],"it":[47],"from":[48,144],"wide":[49],"real-life":[50],"applications.":[51],"We,":[52],"therefore,":[53],"propose":[54],"Spectral":[55],"Ensemble":[56],"Clustering":[57],"(SEC)":[58],"to":[59,100,107,113,139,178,186],"leverage":[60],"advantages":[62],"of":[63,97,176],"information":[67],"integration":[68],"but":[69],"run":[70],"more":[71],"efficiently.":[72],"We":[73,90,135],"disclose":[74],"theoretical":[76],"equivalence":[77],"between":[78],"SEC":[79,127,138,177,184],"weighted":[81],"K-means":[82],"clustering,":[83],"dramatically":[85],"reduces":[86],"algorithmic":[88],"complexity.":[89],"also":[91],"derive":[92],"latent":[94],"function":[96],"SEC,":[98],"our":[101],"best":[102],"knowledge":[103],"is":[104,158],"first":[106],"bridge":[108],"with":[116],"explicit":[117],"global":[118],"objective":[119],"functions.":[120],"Further,":[121],"we":[122],"prove":[123],"theory":[125],"that":[126],"holds":[128],"robustness,":[130],"generalizability,":[131],"convergence":[133],"properties.":[134],"finally":[136],"extend":[137],"meet":[140],"challenge":[142],"arising":[143],"incomplete":[145],"basic":[146],"partitions,":[147],"on":[149,161],"row-segmentation":[152],"scheme":[153],"big":[155,192],"proposed.":[159],"Experiments":[160],"real-world":[163],"sets":[165],"both":[167],"ensemble":[168],"multi-view":[170],"scenarios":[172],"demonstrate":[173],"superiority":[175],"some":[179],"state-of-the-art":[180],"methods.":[181],"In":[182],"particular,":[183],"seems":[185],"be":[187],"candidate":[190],"clustering.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":24},{"year":2023,"cited_by_count":28},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":30},{"year":2018,"cited_by_count":22},{"year":2017,"cited_by_count":14}],"updated_date":"2026-05-20T08:49:12.498775","created_date":"2025-10-10T00:00:00"}