{"id":"https://openalex.org/W1529019671","doi":"https://doi.org/10.1109/tip.2015.2456504","title":"Robust Subspace Clustering With Complex Noise","display_name":"Robust Subspace Clustering With Complex Noise","publication_year":2015,"publication_date":"2015-07-15","ids":{"openalex":"https://openalex.org/W1529019671","doi":"https://doi.org/10.1109/tip.2015.2456504","mag":"1529019671","pmid":"https://pubmed.ncbi.nlm.nih.gov/26186786"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2015.2456504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2456504","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5112749024","display_name":"Ran He","orcid":"https://orcid.org/0000-0002-3807-991X"},"institutions":[{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ran He","raw_affiliation_strings":["National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210112150","https://openalex.org/I19820366"]},{"raw_affiliation_string":"[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029065812","display_name":"Yingya Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingya Zhang","raw_affiliation_strings":["National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210112150","https://openalex.org/I19820366"]},{"raw_affiliation_string":"[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055505703","display_name":"Zhenan Sun","orcid":"https://orcid.org/0000-0003-4029-9935"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenan Sun","raw_affiliation_strings":["National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210112150","https://openalex.org/I19820366"]},{"raw_affiliation_string":"[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083652259","display_name":"Qiyue Yin","orcid":"https://orcid.org/0000-0002-3442-6275"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiyue Yin","raw_affiliation_strings":["National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210112150","https://openalex.org/I19820366"]},{"raw_affiliation_string":"[National Laboratory of Pattern Recognition, Center for Research on Intelligent Perception and Computing, Institute of Automation, Chinese Academy of Sciences, Beijing, China]","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112749024"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210112150"],"apc_list":null,"apc_paid":null,"fwci":3.6819,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.95325115,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"24","issue":"11","first_page":"4001","last_page":"4013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9961000084877014,"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":0.9961000084877014,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9819999933242798,"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":0.9803000092506409,"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":0.7716649770736694},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6401880383491516},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6155745387077332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5746759176254272},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.5648627877235413},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5019125938415527},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.48564353585243225},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4847276210784912},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.43366172909736633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3834685981273651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3578747510910034},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.06413611769676208}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7716649770736694},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6401880383491516},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6155745387077332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5746759176254272},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.5648627877235413},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5019125938415527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48564353585243225},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4847276210784912},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.43366172909736633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3834685981273651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3578747510910034},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.06413611769676208}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2015.2456504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2456504","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Image Processing","raw_type":"journal-article"},{"id":"pmid:26186786","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26186786","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1354117261","display_name":null,"funder_award_id":"2012CB316300","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3221271425","display_name":null,"funder_award_id":"61473289","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4098487557","display_name":null,"funder_award_id":"61135002","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W18661094","https://openalex.org/W79405465","https://openalex.org/W157583248","https://openalex.org/W183401690","https://openalex.org/W1591385104","https://openalex.org/W1596382552","https://openalex.org/W1599555836","https://openalex.org/W1600471557","https://openalex.org/W1606778734","https://openalex.org/W1636513602","https://openalex.org/W1781773254","https://openalex.org/W1829912495","https://openalex.org/W1950520880","https://openalex.org/W1972061359","https://openalex.org/W1978484841","https://openalex.org/W1981458038","https://openalex.org/W1992300915","https://openalex.org/W1993962865","https://openalex.org/W1997201895","https://openalex.org/W2002329661","https://openalex.org/W2013712253","https://openalex.org/W2030507150","https://openalex.org/W2034768355","https://openalex.org/W2037549374","https://openalex.org/W2050849575","https://openalex.org/W2052311585","https://openalex.org/W2077074513","https://openalex.org/W2080431135","https://openalex.org/W2080744942","https://openalex.org/W2084397000","https://openalex.org/W2088025572","https://openalex.org/W2089323474","https://openalex.org/W2096100960","https://openalex.org/W2099660292","https://openalex.org/W2105910985","https://openalex.org/W2125874614","https://openalex.org/W2129812935","https://openalex.org/W2135160607","https://openalex.org/W2137823674","https://openalex.org/W2140997208","https://openalex.org/W2145152441","https://openalex.org/W2145326904","https://openalex.org/W2146610201","https://openalex.org/W2152461258","https://openalex.org/W2160616617","https://openalex.org/W2162198533","https://openalex.org/W2162368482","https://openalex.org/W2165874743","https://openalex.org/W2165916500","https://openalex.org/W2177347332","https://openalex.org/W2271721941","https://openalex.org/W2294644361","https://openalex.org/W2296319761","https://openalex.org/W2489822048","https://openalex.org/W2951184730","https://openalex.org/W2994340921","https://openalex.org/W3099880660","https://openalex.org/W4206647594","https://openalex.org/W4250589301","https://openalex.org/W4250657332","https://openalex.org/W6603183647","https://openalex.org/W6635376254","https://openalex.org/W6635552349","https://openalex.org/W6635884019","https://openalex.org/W6638071513","https://openalex.org/W6640861363","https://openalex.org/W6648445850","https://openalex.org/W6663595922","https://openalex.org/W6680446241","https://openalex.org/W6683979652","https://openalex.org/W6684578312"],"related_works":["https://openalex.org/W4385270139","https://openalex.org/W3080491161","https://openalex.org/W2111119584","https://openalex.org/W3186815950","https://openalex.org/W2590034888","https://openalex.org/W4292621762","https://openalex.org/W3098102082","https://openalex.org/W2140439590","https://openalex.org/W2120152091","https://openalex.org/W3003323003"],"abstract_inverted_index":{"Subspace":[0],"clustering":[1,48,87,152,187,204],"has":[2,33],"important":[3],"and":[4,10,39,61,131],"wide":[5],"applications":[6],"in":[7,28,90],"computer":[8],"vision":[9],"pattern":[11],"recognition.":[12],"It":[13],"is":[14,40,88,139,163,176],"a":[15,52,106,127,140],"challenging":[16],"task":[17],"to":[18,24,104,122,169,182],"learn":[19],"low-dimensional":[20,133],"subspace":[21,47,86,151,186,203],"structures":[22],"due":[23],"complex":[25,36,71,172],"noise":[26,32,60,72],"existing":[27],"high-dimensional":[29,111],"data.":[30],"Complex":[31],"much":[34],"more":[35],"statistical":[37],"structures,":[38],"neither":[41],"Gaussian":[42],"nor":[43],"Laplacian":[44],"noise.":[45,173],"Recent":[46],"methods":[49],"usually":[50],"assume":[51],"sparse":[53,107],"representation":[54,108,134],"of":[55,109,147,159],"the":[56,124,145,183],"errors":[57,64],"incurred":[58,69],"by":[59,70,77],"correct":[62],"these":[63,78],"iteratively.":[65],"However,":[66],"large":[67,148],"corruptions":[68,149],"cannot":[73],"be":[74,154],"well":[75],"addressed":[76],"methods.":[79,205],"A":[80],"novel":[81],"optimization":[82],"model":[83],"for":[84],"robust":[85,141,185],"proposed":[89,165,184],"this":[91],"paper.":[92],"Its":[93],"objective":[94],"function":[95],"mainly":[96],"includes":[97],"two":[98],"parts.":[99],"The":[100,118],"first":[101],"part":[102,120],"aims":[103,121],"achieve":[105],"each":[110],"data":[112,116,129,195],"point":[113,130],"with":[114,135,171],"other":[115,136],"points.":[117,137],"second":[119],"maximize":[123],"correntropy":[125],"between":[126],"given":[128],"its":[132],"Correntropy":[138],"measure":[142],"so":[143],"that":[144,198],"influence":[146],"on":[150,191],"can":[153],"greatly":[155],"suppressed.":[156],"An":[157],"extension":[158],"pairwise":[160],"link":[161],"constraints":[162],"also":[164],"as":[166,178],"prior":[167],"information":[168],"deal":[170],"Half-quadratic":[174],"minimization":[175],"provided":[177],"an":[179],"efficient":[180],"solution":[181],"formulations.":[188],"Experimental":[189],"results":[190],"three":[192],"commonly":[193],"used":[194],"sets":[196],"show":[197],"our":[199],"method":[200],"outperforms":[201],"state-of-the-art":[202]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}