{"id":"https://openalex.org/W2410894298","doi":"https://doi.org/10.1109/tnnls.2015.2472284","title":"Robust Kernel Low-Rank Representation","display_name":"Robust Kernel Low-Rank Representation","publication_year":2015,"publication_date":"2015-09-29","ids":{"openalex":"https://openalex.org/W2410894298","doi":"https://doi.org/10.1109/tnnls.2015.2472284","mag":"2410894298","pmid":"https://pubmed.ncbi.nlm.nih.gov/26441431"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2015.2472284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2472284","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","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/A5047747817","display_name":"Shijie Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Shijie Xiao","raw_affiliation_strings":["School of Computer Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Computer Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032352025","display_name":"Mingkui Tan","orcid":"https://orcid.org/0000-0001-8856-756X"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mingkui Tan","raw_affiliation_strings":["School of Computer Science, The University of Adelaide, Adelaide, SA, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, The University of Adelaide, Adelaide, SA, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082181536","display_name":"Dong Xu","orcid":"https://orcid.org/0000-0003-2775-9730"},"institutions":[{"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":"Dong Xu","raw_affiliation_strings":["School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100366084","display_name":"Zhao Yang Dong","orcid":"https://orcid.org/0000-0001-9659-0858"},"institutions":[{"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":"Zhao Yang Dong","raw_affiliation_strings":["School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047747817"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":16.24788239,"has_fulltext":false,"cited_by_count":174,"citation_normalized_percentile":{"value":0.99448385,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"27","issue":"11","first_page":"2268","last_page":"2281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9976000189781189,"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/kernelization","display_name":"Kernelization","score":0.9646459817886353},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6737079620361328},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5955979824066162},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5474650263786316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5390850901603699},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4730999767780304},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47147443890571594},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4345892369747162},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43123868107795715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4124659299850464},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38393518328666687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3526068329811096},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2847673296928406},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.2684658169746399},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.07220032811164856}],"concepts":[{"id":"https://openalex.org/C207225210","wikidata":"https://www.wikidata.org/wiki/Q1759539","display_name":"Kernelization","level":3,"score":0.9646459817886353},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6737079620361328},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5955979824066162},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5474650263786316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5390850901603699},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4730999767780304},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47147443890571594},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4345892369747162},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43123868107795715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4124659299850464},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38393518328666687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3526068329811096},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2847673296928406},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.2684658169746399},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.07220032811164856},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2015.2472284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2472284","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:26441431","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26441431","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 neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W79405465","https://openalex.org/W98220398","https://openalex.org/W148638337","https://openalex.org/W1510073064","https://openalex.org/W1591385104","https://openalex.org/W1782590233","https://openalex.org/W1857382374","https://openalex.org/W1894767581","https://openalex.org/W1950520880","https://openalex.org/W1990613490","https://openalex.org/W1993962865","https://openalex.org/W1997201895","https://openalex.org/W1998627394","https://openalex.org/W2004744336","https://openalex.org/W2007822845","https://openalex.org/W2013712253","https://openalex.org/W2017441234","https://openalex.org/W2035128422","https://openalex.org/W2037549374","https://openalex.org/W2040329636","https://openalex.org/W2046862341","https://openalex.org/W2054653913","https://openalex.org/W2065030431","https://openalex.org/W2085261163","https://openalex.org/W2100549954","https://openalex.org/W2103972604","https://openalex.org/W2106008047","https://openalex.org/W2113333558","https://openalex.org/W2114588272","https://openalex.org/W2118120419","https://openalex.org/W2121947440","https://openalex.org/W2123320529","https://openalex.org/W2125742596","https://openalex.org/W2129812935","https://openalex.org/W2139212933","https://openalex.org/W2149865252","https://openalex.org/W2162198533","https://openalex.org/W2164278908","https://openalex.org/W2168029744","https://openalex.org/W2168996682","https://openalex.org/W2177347332","https://openalex.org/W2296131993","https://openalex.org/W2532478580","https://openalex.org/W2898916015","https://openalex.org/W2949483514","https://openalex.org/W2951085447","https://openalex.org/W2994340921","https://openalex.org/W3100720754","https://openalex.org/W3101749733","https://openalex.org/W3106502057","https://openalex.org/W4292363360","https://openalex.org/W6603183647","https://openalex.org/W6605953395","https://openalex.org/W6635552349","https://openalex.org/W6675164516","https://openalex.org/W6677677282","https://openalex.org/W6678342573","https://openalex.org/W6697521581","https://openalex.org/W6728881802"],"related_works":["https://openalex.org/W2115741655","https://openalex.org/W2089892314","https://openalex.org/W1603091392","https://openalex.org/W4386075310","https://openalex.org/W2095626363","https://openalex.org/W2169565408","https://openalex.org/W2127229869","https://openalex.org/W3123056048","https://openalex.org/W2150638158","https://openalex.org/W2121506664"],"abstract_inverted_index":{"Recently,":[0],"low-rank":[1],"representation":[2],"(LRR)":[3],"has":[4],"shown":[5],"promising":[6],"performance":[7],"in":[8,43,88,140],"many":[9],"real-world":[10,210],"applications":[11],"such":[12],"as":[13,220,222],"face":[14],"clustering.":[15],"However,":[16],"LRR":[17,87,114,169,198],"may":[18],"not":[19],"achieve":[20],"satisfactory":[21],"results":[22],"when":[23,179],"dealing":[24],"with":[25,52,76],"the":[26,38,44,48,53,60,77,83,89,100,111,128,138,167,181,192,215,223,228],"data":[27,39,55,91,207,211],"from":[28,40,59],"nonlinear":[29,54,78],"subspaces,":[30],"since":[31],"it":[32,58,125,151],"is":[33,152,172],"originally":[34],"designed":[35],"to":[36,64,105,123,154],"handle":[37,106],"linear":[41,182],"subspaces":[42],"input":[45,62],"space.":[46],"Meanwhile,":[47],"kernel-based":[49],"methods":[50],"deal":[51],"by":[56],"mapping":[57],"original":[61,168],"space":[63,68],"a":[65,70,96,156,173],"new":[66,189],"feature":[67],"through":[69],"kernel-induced":[71],"mapping.":[72],"To":[73],"effectively":[74],"cope":[75],"data,":[79,108],"we":[80,109,134],"first":[81],"propose":[82,110],"kernelized":[84],"version":[85],"of":[86,176,194,197,217,225,230,233],"clean":[90],"case.":[92],"We":[93],"also":[94,165],"present":[95],"closed-form":[97],"solution":[98],"for":[99],"resultant":[101],"optimization":[102,121,142,190],"problem.":[103],"Moreover,":[104],"corrupted":[107],"robust":[112],"kernel":[113],"(RKLRR)":[115],"approach,":[116],"and":[117,147,150,209,227],"develop":[118],"an":[119],"efficient":[120],"algorithm":[122,143,163],"solve":[124,166],"based":[126,186],"on":[127,187,205],"alternating":[129],"direction":[130],"method.":[131],"In":[132,184],"particular,":[133],"show":[135],"that":[136],"both":[137],"subproblems":[139],"our":[141,161,177,188,218],"can":[144,164,199],"be":[145,200],"efficiently":[146],"exactly":[148],"solved,":[149],"guaranteed":[153],"obtain":[155],"globally":[157],"optimal":[158],"solution.":[159],"Besides,":[160],"proposed":[162],"problem,":[170],"which":[171],"special":[174],"case":[175],"RKLRR":[178,226],"using":[180],"kernel.":[183],"addition,":[185],"technique,":[191],"kernelization":[193,229],"some":[195],"variants":[196,232],"similarly":[201],"achieved.":[202],"Comprehensive":[203],"experiments":[204],"synthetic":[206],"sets":[208,212],"clearly":[213],"demonstrate":[214],"efficiency":[216],"algorithm,":[219],"well":[221],"effectiveness":[224],"two":[231],"LRR.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":25},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":22},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-02-05T00:54:17.221276","created_date":"2025-10-10T00:00:00"}