{"id":"https://openalex.org/W2021770241","doi":"https://doi.org/10.1109/tip.2012.2192742","title":"Inductive Robust Principal Component Analysis","display_name":"Inductive Robust Principal Component Analysis","publication_year":2012,"publication_date":"2012-04-11","ids":{"openalex":"https://openalex.org/W2021770241","doi":"https://doi.org/10.1109/tip.2012.2192742","mag":"2021770241","pmid":"https://pubmed.ncbi.nlm.nih.gov/22481823"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2012.2192742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2012.2192742","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/A5007962086","display_name":"Bing\u2010Kun Bao","orcid":"https://orcid.org/0000-0001-5956-831X"},"institutions":[{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bing-Kun Bao","raw_affiliation_strings":["China-Singapore Institute of Digital Media, Singapore","Nat. Lab. of Pattern Recognition, Inst. of Autom., Beijing, China"],"affiliations":[{"raw_affiliation_string":"China-Singapore Institute of Digital Media, Singapore","institution_ids":[]},{"raw_affiliation_string":"Nat. Lab. of Pattern Recognition, Inst. of Autom., Beijing, China","institution_ids":["https://openalex.org/I4210094879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019542310","display_name":"Guangcan Liu","orcid":"https://orcid.org/0000-0002-9428-4387"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guangcan Liu","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022636178","display_name":"Changsheng Xu","orcid":"https://orcid.org/0000-0001-8343-9665"},"institutions":[{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changsheng Xu","raw_affiliation_strings":["China-Singapore Institute of Digital Media, Singapore","Nat. Lab. of Pattern Recognition, Inst. of Autom., Beijing, China"],"affiliations":[{"raw_affiliation_string":"China-Singapore Institute of Digital Media, Singapore","institution_ids":[]},{"raw_affiliation_string":"Nat. Lab. of Pattern Recognition, Inst. of Autom., Beijing, China","institution_ids":["https://openalex.org/I4210094879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100381753","display_name":"Shuicheng Yan","orcid":"https://orcid.org/0000-0001-8906-3777"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Shuicheng Yan","raw_affiliation_strings":["National University of Singapore, Singapore","National University of Singapore, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007962086"],"corresponding_institution_ids":["https://openalex.org/I4210094879"],"apc_list":null,"apc_paid":null,"fwci":14.6897,"has_fulltext":false,"cited_by_count":165,"citation_normalized_percentile":{"value":0.99354686,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"21","issue":"8","first_page":"3794","last_page":"3800"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.915703296661377},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.7577915787696838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6811410784721375},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5113396048545837},{"id":"https://openalex.org/keywords/sparse-pca","display_name":"Sparse PCA","score":0.49763086438179016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4590323269367218},{"id":"https://openalex.org/keywords/synthetic-data","display_name":"Synthetic data","score":0.4389719069004059},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4311710596084595},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4268919825553894},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3994830846786499},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33083152770996094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2614014744758606}],"concepts":[{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.915703296661377},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.7577915787696838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6811410784721375},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5113396048545837},{"id":"https://openalex.org/C24252448","wikidata":"https://www.wikidata.org/wiki/Q7573786","display_name":"Sparse PCA","level":3,"score":0.49763086438179016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4590323269367218},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.4389719069004059},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4311710596084595},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4268919825553894},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3994830846786499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33083152770996094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2614014744758606},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D025341","descriptor_name":"Principal Component Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D025341","descriptor_name":"Principal Component Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D025341","descriptor_name":"Principal Component Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2012.2192742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2012.2192742","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:22481823","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22481823","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},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/56322","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/56322","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W79405465","https://openalex.org/W151607323","https://openalex.org/W1480057435","https://openalex.org/W1652984552","https://openalex.org/W1760407951","https://openalex.org/W1964810009","https://openalex.org/W1979486458","https://openalex.org/W1979573625","https://openalex.org/W1995168330","https://openalex.org/W1997201895","https://openalex.org/W2003217181","https://openalex.org/W2006793117","https://openalex.org/W2047071281","https://openalex.org/W2052740976","https://openalex.org/W2103972604","https://openalex.org/W2114147096","https://openalex.org/W2118154608","https://openalex.org/W2121647436","https://openalex.org/W2131628350","https://openalex.org/W2140151376","https://openalex.org/W2147276092","https://openalex.org/W2150489380","https://openalex.org/W2153636395","https://openalex.org/W2164931791","https://openalex.org/W2294644361","https://openalex.org/W2294798173","https://openalex.org/W2611328865","https://openalex.org/W2795487203","https://openalex.org/W2951443864","https://openalex.org/W4240629319","https://openalex.org/W4250657332","https://openalex.org/W6603183647","https://openalex.org/W6638022358","https://openalex.org/W6679973066"],"related_works":["https://openalex.org/W2990436289","https://openalex.org/W2732461152","https://openalex.org/W2006410278","https://openalex.org/W2309638141","https://openalex.org/W3174042135","https://openalex.org/W2574182783","https://openalex.org/W2732959879","https://openalex.org/W4291805341","https://openalex.org/W2929137829","https://openalex.org/W1970833585"],"abstract_inverted_index":{"In":[0],"this":[1,142,145],"paper":[2,146],"we":[3,147],"address":[4],"the":[5,13,27,39,51,62,99,107,121,133,169,177,188,244],"error":[6],"correction":[7],"problem":[8],"that":[9,135,165,230],"is":[10,55,90,130,196,207],"to":[11,47,57,61,117,185,237],"uncover":[12],"low-dimensional":[14],"subspace":[15],"structure":[16],"from":[17],"high-dimensional":[18],"observations,":[19],"which":[20,80,102,181,206],"are":[21,29,103],"possibly":[22],"corrupted":[23,85],"by":[24,198],"errors.":[25],"When":[26],"errors":[28],"of":[30,43,64,160],"Gaussian":[31],"distribution,":[32],"Principal":[33,75,152],"Component":[34,76,153],"Analysis":[35,77,154],"(PCA)":[36],"can":[37,81,182,210,232],"find":[38],"optimal":[40],"(in":[41],"terms":[42],"least-square-error)":[44],"low-rank":[45],"approximation":[46],"highdimensional":[48],"data.":[49],"However,":[50,88],"canonical":[52],"PCA":[53],"method":[54,93],"known":[56],"be":[58,183,211,235],"extremely":[59],"fragile":[60],"presence":[63],"gross":[65,238],"corruptions.":[66],"Recently,":[67],"Wright":[68],"et":[69],"al.":[70],"established":[71],"a":[72,91,111,158,200,219],"so-called":[73],"Robust":[74,151],"(RPCA)":[78],"method,":[79],"well":[82,98,243],"handle":[83,97,242],"grossly":[84],"data":[86,171,246],"[14].":[87],"RPCA":[89,114,129,164],"transductive":[92],"and":[94,209,224],"does":[95],"not":[96,104,233],"new":[100,112,245],"samples":[101],"involved":[105],"in":[106,124,144,191,213,247],"training":[108,161],"procedure.":[109],"Given":[110,157],"datum,":[113],"essentially":[115],"needs":[116],"recalculate":[118],"over":[119],"all":[120],"data,":[122,162],"resulting":[123],"high":[125],"computational":[126],"cost.":[127],"So,":[128],"inappropriate":[131],"for":[132],"applications":[134],"require":[136],"fast":[137],"online":[138],"computation.":[139],"To":[140],"overcome":[141],"limitation,":[143],"propose":[148],"an":[149,248],"Inductive":[150],"(IRPCA)":[155],"method.":[156],"set":[159],"unlike":[163],"targets":[166],"on":[167,218],"recovering":[168],"original":[170],"matrix,":[172,180],"IRPCA":[173,231],"aims":[174],"at":[175],"learning":[176,195],"underlying":[178],"projection":[179],"used":[184],"efficiently":[186],"remove":[187],"possible":[189],"corruptions":[190],"any":[192],"datum.":[193],"The":[194],"done":[197],"solving":[199],"nuclear":[201],"norm":[202],"regularized":[203],"minimization":[204],"problem,":[205],"convex":[208],"solved":[212],"polynomial":[214],"time.":[215],"Extensive":[216],"experiments":[217],"benchmark":[220],"human":[221],"face":[222],"dataset":[223],"two":[225],"video":[226],"surveillance":[227],"datasets":[228],"show":[229],"only":[234],"robust":[236],"corruptions,":[239],"but":[240],"also":[241],"efficient":[249],"way.":[250]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":22},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":8}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
