{"id":"https://openalex.org/W3162780976","doi":"https://doi.org/10.1109/tkde.2021.3078728","title":"Fast Multi-view Clustering via Prototype Graph","display_name":"Fast Multi-view Clustering via Prototype Graph","publication_year":2021,"publication_date":"2021-05-11","ids":{"openalex":"https://openalex.org/W3162780976","doi":"https://doi.org/10.1109/tkde.2021.3078728","mag":"3162780976"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2021.3078728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3078728","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/A5101912844","display_name":"Shaojun Shi","orcid":"https://orcid.org/0000-0003-2243-1015"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaojun Shi","raw_affiliation_strings":["Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: shaojunshi@mail.nwpu.edu.cn)","[Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: shaojunshi@mail.nwpu.edu.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: shaojunshi@mail.nwpu.edu.cn)","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"[Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: shaojunshi@mail.nwpu.edu.cn)]","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003222421","display_name":"Feiping Nie","orcid":"https://orcid.org/0000-0002-0871-6519"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiping Nie","raw_affiliation_strings":["Department of Automation, Tsinghua University, Beijing, Beijing, China, 100084 (e-mail: feipingnie@gmail.com)","[Department of Automation, Tsinghua University, Beijing, Beijing, China, 100084 (e-mail: feipingnie@gmail.com)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, Beijing, Beijing, China, 100084 (e-mail: feipingnie@gmail.com)","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Department of Automation, Tsinghua University, Beijing, Beijing, China, 100084 (e-mail: feipingnie@gmail.com)]","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030351224","display_name":"Rong Wang","orcid":"https://orcid.org/0000-0001-9240-6726"},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Wang","raw_affiliation_strings":["Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Xian Research Institute of Hi-Tech, Xi'an, Shaanxi, China, (e-mail: wangrong07@tsinghua.org.cn)","[Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Xian Research Institute of Hi-Tech, Xi'an, Shaanxi, China, (e-mail: wangrong07@tsinghua.org.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Xian Research Institute of Hi-Tech, Xi'an, Shaanxi, China, (e-mail: wangrong07@tsinghua.org.cn)","institution_ids":["https://openalex.org/I4210144662"]},{"raw_affiliation_string":"[Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Xian Research Institute of Hi-Tech, Xi'an, Shaanxi, China, (e-mail: wangrong07@tsinghua.org.cn)]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106943753","display_name":"Xuelong Li","orcid":"https://orcid.org/0000-0003-2924-946X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuelong Li","raw_affiliation_strings":["School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)","[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"[School of Computer Science and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University, 26487 Xi'an, Shaanxi, China, (e-mail: xuelong_li@nwpu.edu.cn)]","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6239,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.94271501,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9972000122070312,"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":0.9972000122070312,"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":0.9948999881744385,"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"}},{"id":"https://openalex.org/T13731","display_name":"Advanced Computing and Algorithms","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/3322","display_name":"Urban Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.8593169450759888},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.8010974526405334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6960381865501404},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6565380692481995},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.532015323638916},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.524962842464447},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5241420865058899},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.4793561100959778},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.45239558815956116},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44626399874687195},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.42393958568573},{"id":"https://openalex.org/keywords/graph-embedding","display_name":"Graph embedding","score":0.4142459034919739},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3670205771923065},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3664788007736206},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.30037587881088257}],"concepts":[{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.8593169450759888},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8010974526405334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6960381865501404},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6565380692481995},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.532015323638916},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.524962842464447},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5241420865058899},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.4793561100959778},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.45239558815956116},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44626399874687195},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.42393958568573},{"id":"https://openalex.org/C75564084","wikidata":"https://www.wikidata.org/wiki/Q5597085","display_name":"Graph embedding","level":3,"score":0.4142459034919739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3670205771923065},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3664788007736206},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30037587881088257},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2021.3078728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2021.3078728","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1537487564","display_name":"\u7ed3\u6784\u5316\u56fe\u5b66\u4e60\u7406\u8bba\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61772427","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3280333285","display_name":null,"funder_award_id":"G2019KY0501","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7761990065","display_name":null,"funder_award_id":"61936014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W62192748","https://openalex.org/W67721698","https://openalex.org/W191001584","https://openalex.org/W1500351990","https://openalex.org/W1539831438","https://openalex.org/W1572158434","https://openalex.org/W1669104078","https://openalex.org/W1907775068","https://openalex.org/W1979089718","https://openalex.org/W2019863495","https://openalex.org/W2048679005","https://openalex.org/W2053186076","https://openalex.org/W2057624533","https://openalex.org/W2101324110","https://openalex.org/W2113855951","https://openalex.org/W2116810533","https://openalex.org/W2121947440","https://openalex.org/W2129793592","https://openalex.org/W2132379769","https://openalex.org/W2135674549","https://openalex.org/W2142109962","https://openalex.org/W2149620660","https://openalex.org/W2154415691","https://openalex.org/W2154872931","https://openalex.org/W2197707282","https://openalex.org/W2514638911","https://openalex.org/W2569859441","https://openalex.org/W2577472518","https://openalex.org/W2579597427","https://openalex.org/W2584959193","https://openalex.org/W2586686153","https://openalex.org/W2605146283","https://openalex.org/W2739703330","https://openalex.org/W2741998188","https://openalex.org/W2749338522","https://openalex.org/W2756626360","https://openalex.org/W2758611985","https://openalex.org/W2807979777","https://openalex.org/W2808465901","https://openalex.org/W2808858332","https://openalex.org/W2809299793","https://openalex.org/W2895210058","https://openalex.org/W2895548766","https://openalex.org/W2896169497","https://openalex.org/W2898233200","https://openalex.org/W2899604627","https://openalex.org/W2900928715","https://openalex.org/W2901698913","https://openalex.org/W2921677257","https://openalex.org/W2945288617","https://openalex.org/W2963701987","https://openalex.org/W2987423872","https://openalex.org/W2995931523","https://openalex.org/W2996095042","https://openalex.org/W2998570830","https://openalex.org/W3012080241","https://openalex.org/W3022399687","https://openalex.org/W3036015371","https://openalex.org/W4292157310","https://openalex.org/W6602730463","https://openalex.org/W6629858893","https://openalex.org/W6675134712","https://openalex.org/W6681822384","https://openalex.org/W6682644385","https://openalex.org/W6682991666","https://openalex.org/W6725836693","https://openalex.org/W6731811539","https://openalex.org/W6775638715"],"related_works":["https://openalex.org/W2902850141","https://openalex.org/W2607797544","https://openalex.org/W2885900820","https://openalex.org/W1556852487","https://openalex.org/W2136935487","https://openalex.org/W2265158691","https://openalex.org/W2032317191","https://openalex.org/W2613055102","https://openalex.org/W2964122166","https://openalex.org/W2011730213"],"abstract_inverted_index":{"Multi-view":[0,118],"clustering":[1,16,30,51,188],"attracts":[2],"considerable":[3],"attention":[4],"due":[5],"to":[6,87,138,146,162,173],"its":[7],"effectiveness":[8],"in":[9,45,80],"unsupervised":[10],"learning.":[11],"However,":[12],"previous":[13,84],"multi-view":[14,49],"spectral":[15,25,47,50,136,144],"methods":[17,34,85],"include":[18],"two":[19,92],"separated":[20],"steps:":[21],"1)":[22],"Obtaining":[23],"a":[24,116],"embedding;":[26],"2)":[27],"Performing":[28],"classical":[29],"methods.":[31],"Although":[32],"these":[33,112],"have":[35],"achieved":[36],"promising":[37],"performance,":[38],"there":[39],"is":[40,70,74,108,129,160],"still":[41],"some":[42],"limitations.":[43],"First,":[44],"computing":[46],"embedding,":[48],"approaches":[52],"exist":[53],"high":[54],"computational":[55,68],"complexity":[56,69],"since":[57],"they":[58],"usually":[59],"need":[60,86],"eigenvalue":[61],"decomposition":[62],"on":[63],"laplacian":[64],"matrix":[65,142],"L.":[66],"Its":[67],"O(n3)":[71],"where":[72],"n":[73],"the":[75,95,126,140,148,153,164,175,183,191],"number":[76],"of":[77,157],"samples;":[78,93],"Second,":[79],"constructing":[81],"similarity":[82,89],"matrices,":[83],"compute":[88],"between":[90],"any":[91],"Third,":[94],"two-stage":[96],"approach":[97],"only":[98],"can":[99],"obtain":[100,139],"sub-optimal":[101],"solution;":[102],"Fourth,":[103],"treating":[104],"equally":[105],"all":[106],"views":[107],"unreasonable.":[109],"To":[110],"address":[111],"issues,":[113],"we":[114,169],"propose":[115],"Fast":[117],"Clustering":[119],"via":[120],"Prototype":[121],"Graph":[122],"(FMVPG)":[123],"method.":[124],"Specifically,":[125],"prototype":[127],"graph":[128],"firstly":[130],"constructed,":[131],"and":[132,143],"then":[133],"simultaneously":[134],"perform":[135],"embedding":[137],"real":[141],"rotation":[145],"get":[147],"indicator":[149],"matrix.":[150],"In":[151],"addition,":[152],"Alternating":[154],"Direction":[155],"Method":[156],"Multipliers":[158],"(ADMM)":[159],"used":[161],"solve":[163],"joint":[165],"optimization":[166],"problem.":[167],"Further,":[168],"conduct":[170],"extensive":[171],"experiments":[172],"evaluate":[174],"proposed":[176],"FMVPG":[177],"approach.":[178],"These":[179],"experimental":[180],"results":[181],"show":[182],"comparable":[184],"or":[185],"even":[186],"better":[187],"performance":[189],"than":[190],"state-of-the-art":[192],"approaches.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":11}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}