{"id":"https://openalex.org/W2783826646","doi":"https://doi.org/10.1109/allerton.2017.8262756","title":"Robust PCA with concurrent column and element-wise outliers","display_name":"Robust PCA with concurrent column and element-wise outliers","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2783826646","doi":"https://doi.org/10.1109/allerton.2017.8262756","mag":"2783826646"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/scopus2015/7151","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101657195","display_name":"Mostafa Rahmani","orcid":"https://orcid.org/0000-0002-4140-383X"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mostafa Rahmani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003612688","display_name":"George Atia","orcid":"https://orcid.org/0000-0001-7958-9855"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George K. Atia","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101657195"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.21053846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"1","issue":null,"first_page":"332","last_page":"337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.8195872902870178},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.7300049662590027},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.6585909724235535},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.5776979923248291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5312820672988892},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.516038179397583},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.44335824251174927},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4394938349723816},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.413135826587677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4118887186050415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3633357882499695},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3537830710411072},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.30773234367370605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20706313848495483}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.8195872902870178},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.7300049662590027},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.6585909724235535},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.5776979923248291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5312820672988892},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.516038179397583},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44335824251174927},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4394938349723816},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.413135826587677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4118887186050415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3633357882499695},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3537830710411072},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.30773234367370605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20706313848495483},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"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/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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2017.8262756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-8150","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/7151","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2015-2019","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-8150","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/7151","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2015-2019","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1497599070","https://openalex.org/W1513013675","https://openalex.org/W1613169971","https://openalex.org/W1670485642","https://openalex.org/W1993962865","https://openalex.org/W1996326832","https://openalex.org/W2003753589","https://openalex.org/W2045983409","https://openalex.org/W2050058873","https://openalex.org/W2053090063","https://openalex.org/W2059134260","https://openalex.org/W2085261163","https://openalex.org/W2087445541","https://openalex.org/W2099953425","https://openalex.org/W2101117936","https://openalex.org/W2109357213","https://openalex.org/W2118154608","https://openalex.org/W2120580172","https://openalex.org/W2129131372","https://openalex.org/W2139054653","https://openalex.org/W2145096794","https://openalex.org/W2145962650","https://openalex.org/W2165916500","https://openalex.org/W2172873798","https://openalex.org/W2220473304","https://openalex.org/W2291545909","https://openalex.org/W2319851220","https://openalex.org/W2409932664","https://openalex.org/W2522297021","https://openalex.org/W2553613493","https://openalex.org/W2586192868","https://openalex.org/W2952200501","https://openalex.org/W2962933442","https://openalex.org/W3007645331","https://openalex.org/W3102566946","https://openalex.org/W3103861421","https://openalex.org/W3104624268","https://openalex.org/W3124680869","https://openalex.org/W4238202755","https://openalex.org/W6649031020","https://openalex.org/W6675158139","https://openalex.org/W6675479683"],"related_works":["https://openalex.org/W3037121946","https://openalex.org/W2991135868","https://openalex.org/W4387454008","https://openalex.org/W2594059414","https://openalex.org/W2962768932","https://openalex.org/W1926570426","https://openalex.org/W2798801347","https://openalex.org/W2523900061","https://openalex.org/W2016015572","https://openalex.org/W2091883426"],"abstract_inverted_index":{"To":[0],"date,":[1],"existing":[2],"robust":[3,46],"PCA":[4],"algorithms":[5],"have":[6],"only":[7],"considered":[8],"settings":[9],"where":[10,94],"the":[11,98,103],"data":[12,83],"is":[13,45,61,91],"corrupted":[14,68],"with":[15,77],"one":[16],"type":[17],"of":[18,30,50,58,65,88,105,110],"outliers":[19,31],"at":[20],"a":[21,24,38,62,66],"time,":[22],"but":[23],"mechanism":[25],"to":[26,47],"handle":[27],"simultaneous":[28],"types":[29],"has":[32],"been":[33],"lacking.":[34],"This":[35],"paper":[36],"proposes":[37],"low":[39],"rank":[40],"matrix":[41],"recovery":[42],"algorithm":[43],"that":[44,97],"concurrent":[48],"presence":[49,109],"column-wise":[51],"and":[52],"sparse":[53,63,78,89,111],"element-wise":[54],"outliers.":[55],"The":[56,85],"underpinning":[57],"our":[59],"approach":[60],"approximation":[64,90],"sparsely":[67],"column":[69,76],"whereby":[70],"we":[71,95],"set":[72],"apart":[73],"an":[74,81,106],"inlier":[75,107],"corruption":[79],"from":[80],"outlying":[82],"point.":[84],"core":[86],"idea":[87],"analyzed":[92],"analytically":[93],"show":[96],"underlying-norm":[99],"minimization":[100],"can":[101],"obtain":[102],"representation":[104],"in":[108],"corruptions.":[112]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}