{"id":"https://openalex.org/W272277767","doi":"https://doi.org/10.1109/tsp.2016.2645515","title":"Randomized Robust Subspace Recovery and Outlier Detection for High Dimensional Data Matrices","display_name":"Randomized Robust Subspace Recovery and Outlier Detection for High Dimensional Data Matrices","publication_year":2016,"publication_date":"2016-12-28","ids":{"openalex":"https://openalex.org/W272277767","doi":"https://doi.org/10.1109/tsp.2016.2645515","mag":"272277767"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2645515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2645515","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.05901","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","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"]},{"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","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"]},{"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":12.4588,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.99285973,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"65","issue":"6","first_page":"1580","last_page":"1594"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9990000128746033,"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":0.9940000176429749,"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/subspace-topology","display_name":"Subspace topology","score":0.7340186238288879},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5971686244010925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.518955647945404},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.518284022808075},{"id":"https://openalex.org/keywords/anomaly-detection","display_name":"Anomaly detection","score":0.5028814673423767},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4839501678943634},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4425259232521057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3924371004104614},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3527616262435913}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7340186238288879},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5971686244010925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.518955647945404},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.518284022808075},{"id":"https://openalex.org/C739882","wikidata":"https://www.wikidata.org/wiki/Q3560506","display_name":"Anomaly detection","level":2,"score":0.5028814673423767},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4839501678943634},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4425259232521057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3924371004104614},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3527616262435913},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2016.2645515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2645515","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1505.05901","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.05901","pdf_url":"https://arxiv.org/pdf/1505.05901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-6316","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/5317","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:arXiv.org:1505.05901","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.05901","pdf_url":"https://arxiv.org/pdf/1505.05901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6266848605","display_name":null,"funder_award_id":"CCF-1320547","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G659905212","display_name":null,"funder_award_id":"CCF-1552497","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":101,"referenced_works":["https://openalex.org/W101586694","https://openalex.org/W592696926","https://openalex.org/W1513013675","https://openalex.org/W1577111082","https://openalex.org/W1670485642","https://openalex.org/W1945899805","https://openalex.org/W1970833585","https://openalex.org/W1992633833","https://openalex.org/W1993693225","https://openalex.org/W1995168330","https://openalex.org/W1997201895","https://openalex.org/W1998058722","https://openalex.org/W1998925295","https://openalex.org/W1999352252","https://openalex.org/W2003753589","https://openalex.org/W2030449718","https://openalex.org/W2040387238","https://openalex.org/W2045390367","https://openalex.org/W2050058873","https://openalex.org/W2052311585","https://openalex.org/W2053090063","https://openalex.org/W2059134260","https://openalex.org/W2085261163","https://openalex.org/W2085927849","https://openalex.org/W2087445541","https://openalex.org/W2088658556","https://openalex.org/W2095054228","https://openalex.org/W2099953425","https://openalex.org/W2101117936","https://openalex.org/W2104989842","https://openalex.org/W2106037979","https://openalex.org/W2109357213","https://openalex.org/W2117173421","https://openalex.org/W2117377454","https://openalex.org/W2117756735","https://openalex.org/W2118154608","https://openalex.org/W2118550318","https://openalex.org/W2120580172","https://openalex.org/W2120872934","https://openalex.org/W2120961178","https://openalex.org/W2124252039","https://openalex.org/W2125874614","https://openalex.org/W2129131372","https://openalex.org/W2129638195","https://openalex.org/W2131172946","https://openalex.org/W2139054653","https://openalex.org/W2142077116","https://openalex.org/W2143915994","https://openalex.org/W2145096794","https://openalex.org/W2145962650","https://openalex.org/W2150446607","https://openalex.org/W2157752701","https://openalex.org/W2165916500","https://openalex.org/W2166049352","https://openalex.org/W2185081213","https://openalex.org/W2220473304","https://openalex.org/W2274530000","https://openalex.org/W2291545909","https://openalex.org/W2296616510","https://openalex.org/W2313824013","https://openalex.org/W2403076655","https://openalex.org/W2409932664","https://openalex.org/W2470359451","https://openalex.org/W2522297021","https://openalex.org/W2534934353","https://openalex.org/W2611328865","https://openalex.org/W2949924912","https://openalex.org/W2952200501","https://openalex.org/W2962933442","https://openalex.org/W2963125831","https://openalex.org/W2963363076","https://openalex.org/W2965497096","https://openalex.org/W3007645331","https://openalex.org/W3010434925","https://openalex.org/W3102566946","https://openalex.org/W3103861421","https://openalex.org/W3104624268","https://openalex.org/W3112410551","https://openalex.org/W3124680869","https://openalex.org/W4241684091","https://openalex.org/W4243493583","https://openalex.org/W6637049281","https://openalex.org/W6674159316","https://openalex.org/W6675158139","https://openalex.org/W6675479683","https://openalex.org/W6675840925","https://openalex.org/W6675879561","https://openalex.org/W6677334684","https://openalex.org/W6677959539","https://openalex.org/W6679168169","https://openalex.org/W6681016373","https://openalex.org/W6682218280","https://openalex.org/W6682706205","https://openalex.org/W6696834127","https://openalex.org/W6713161955","https://openalex.org/W6714999248","https://openalex.org/W6720261860","https://openalex.org/W6727459045","https://openalex.org/W6729102313","https://openalex.org/W6763285572","https://openalex.org/W6764541007"],"related_works":["https://openalex.org/W1980381208","https://openalex.org/W2364594919","https://openalex.org/W2499612753","https://openalex.org/W1995723671","https://openalex.org/W2164647769","https://openalex.org/W3111802945","https://openalex.org/W2946096271","https://openalex.org/W2295423552","https://openalex.org/W1598471830","https://openalex.org/W3107369729"],"abstract_inverted_index":{"This":[0],"paper":[1],"explores":[2],"and":[3,43,57,78,96,112,144],"analyzes":[4],"two":[5,90],"randomized":[6,102],"designs":[7,47,83],"for":[8,60],"robust":[9,61],"principal":[10],"component":[11],"analysis":[12,135],"employing":[13],"low-dimensional":[14,31],"data":[15,21,124],"sketching.":[16],"In":[17],"one":[18],"design,":[19],"a":[20],"sketch":[22],"is":[23,38,84],"constructed":[24],"using":[25,141],"random":[26,41],"column":[27,42],"sampling":[28],"followed":[29],"by":[30],"embedding,":[32],"while":[33],"in":[34,55,86],"the":[35,69,76,87,107,120,123,127,133],"other,":[36],"sketching":[37],"based":[39],"on":[40,119],"row":[44],"sampling.":[45],"Both":[46],"are":[48,136],"shown":[49],"to":[50],"bring":[51],"about":[52],"substantial":[53],"savings":[54],"complexity":[56,80,114],"memory":[58],"requirements":[59],"subspace":[62,109],"learning":[63],"over":[64],"conventional":[65],"approaches":[66],"that":[67],"use":[68],"full":[70],"scale":[71],"data.":[72,146],"A":[73],"characterization":[74],"of":[75,81,89,122,132],"sample":[77,113],"computational":[79,111],"both":[82,142],"derived":[85],"context":[88],"distinct":[91],"outlier":[92,98],"models,":[93],"namely,":[94],"sparse":[95],"independent":[97],"models.":[99],"The":[100,130],"proposed":[101],"approach":[103],"can":[104],"provably":[105],"recover":[106],"correct":[108],"with":[110],"which":[115],"depend":[116],"only":[117],"weakly":[118],"size":[121],"(only":[125],"through":[126,138],"coherence":[128],"parameters).":[129],"results":[131],"mathematical":[134],"confirmed":[137],"numerical":[139],"simulations":[140],"synthetic":[143],"real":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2016-06-24T00:00:00"}
